Finite Group Databasebeta

← C2×#22574387 #31763006

Subgroups — C2×#22574387 #31763006

Order 17152.

8166 conjugacy classes of subgroups.

The subgroup lattice has 2164 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22574387C2132yesmaximal, direct product factor
2C2×#16864141C211yesmaximal, characteristic, complemented
3C2×#16864141C211yesmaximal, characteristic, complemented
4C2×#16864135C211yesmaximal, characteristic, complemented
5C2×#16864133C211yesmaximal, characteristic, complemented
6C2×#16864095C211yesmaximal, characteristic, complemented
7C2×#16864089C211yesmaximal, characteristic, complemented
8C2×#16864077C211yesmaximal, characteristic, complemented
9C2×#16864075C211yesmaximal, characteristic, complemented
10C2×#16864040C211yesmaximal, characteristic, complemented
11C2×#16864040C211yesmaximal, characteristic, complemented
12C2×#16864040C211yesmaximal, characteristic, complemented
13C2×#16864035C211yesmaximal, characteristic, complemented
14C2×#16864033C211yesmaximal, characteristic, complemented
15C2×#16864033C211yesmaximal, characteristic, complemented
16C2×D4×C22⋊D67C211yesmaximal, characteristic, complemented
17C2×#16864000C211yesmaximal, characteristic, complemented
18C2×#16863996C211yesmaximal, characteristic, complemented
19C2×#16863991C211yesmaximal, characteristic, complemented
20C2×#16863988C211yesmaximal, characteristic, complemented
21C2×#16863988C211yesmaximal, characteristic, complemented
22C2×#16863981C211yesmaximal, characteristic, complemented
23C2×#16863981C211yesmaximal, characteristic, complemented
24C2×#16863978C211yesmaximal, characteristic, complemented
25C2×#16863973C211yesmaximal, characteristic, complemented
26C2×#16863956C211yesmaximal, characteristic, complemented
27C2×#16863955C211yesmaximal, characteristic, complemented
28C2×#16863955C211yesmaximal, characteristic, complemented
29C2×#16863902C211yesmaximal, characteristic, complemented
30C22×#14524024C211yesmaximal, characteristic, complemented
31C22×#14524015C211yesmaximal, characteristic, complemented
32C2×D42×C67C211yesmaximal, characteristic, complemented
33C22×#11761627C2211yescharacteristic, complemented
34C22×#11761627C2211yescharacteristic, complemented
35C22×#11761627C2211yescharacteristic, complemented
36C23×C22⋊D67C2211yescharacteristic, complemented
37C23×C22⋊D67C2211yescharacteristic, complemented
38C23×C22⋊D67C2211yescharacteristic, complemented
39C22×D4×D67C2211yescharacteristic, complemented
40C24×Dic67C2211yescharacteristic, complemented
41#16864141C22116yescomplemented
42#16864141C22116yescomplemented
43#16864135C22116yescomplemented
44#16864133C22116yescomplemented
45#16864095C22116yescomplemented
46#16864089C22116yescomplemented
47#16864077C22116yescomplemented
48#16864075C22116yescomplemented
49#16864040C22116yescomplemented
50#16864040C22116yescomplemented
51#16864040C22116yescomplemented
52#16864035C22116yescomplemented
53#16864033C22116yescomplemented
54#16864033C22116yescomplemented
55D4×C22⋊D67C22116yescomplemented
56#16864000C22116yescomplemented
57#16863996C22116yescomplemented
58#16863991C22116yescomplemented
59#16863988C22116yescomplemented
60#16863988C22116yescomplemented
61#16863981C22116yescomplemented
62#16863981C22116yescomplemented
63#16863978C22116yescomplemented
64#16863973C22116yescomplemented
65#16863956C22116yescomplemented
66#16863955C22116yescomplemented
67#16863955C22116yescomplemented
68C2×#14524039C2211yescharacteristic, complemented
69C2×#14524038C2211yescharacteristic, complemented
70C2×#14524037C2211yescharacteristic, complemented
71C2×#14524037C2211yescharacteristic, complemented
72C2×#14524036C2211yescharacteristic, complemented
73C2×#14524036C2211yescharacteristic, complemented
74C2×#14524036C2211yescharacteristic, complemented
75C2×#14524036C2211yescharacteristic, complemented
76C2×#14524036C2211yescharacteristic, complemented
77C2×#14524035C2211yescharacteristic, complemented
78C2×#14524033C2211yescharacteristic, complemented
79C2×#14524033C2211yescharacteristic, complemented
80C2×#14524033C2211yescharacteristic, complemented
81C2×#14524030C2211yescharacteristic, complemented
82C2×#14524030C2211yescharacteristic, complemented
83C2×#14524030C2211yescharacteristic, complemented
84C2×#14524029C2211yescharacteristic, complemented
85C2×#14524029C2211yescharacteristic, complemented
86C2×#14524029C2211yescharacteristic, complemented
87#16863902C22116yescomplemented
88C2×#14524028C2211yescharacteristic, complemented
89C2×#14524027C2211yescharacteristic, complemented
90C2×#14524027C2211yescharacteristic, complemented
91C2×#14524026C2211yescharacteristic, complemented
92C2×#14524026C2211yescharacteristic, complemented
93C2×#14524026C2211yescharacteristic, complemented
94C2×#14524026C2211yescharacteristic, complemented
95C2×#14524025C2211yescharacteristic, complemented
96C2×#14524025C2211yescharacteristic, complemented
97C2×#14524025C2211yescharacteristic, complemented
98C2×#14524025C2211yescharacteristic, complemented
99C2×#14524025C2211yescharacteristic, complemented
100C2×#14524024C2211yescharacteristic, complemented
101C2×#14524024C2211yescharacteristic, complemented
102C2×#14524024C2211yescharacteristic, complemented
103C2×#14524024C2211yescharacteristic, complemented
104C2×#14524024C2211yescharacteristic, complemented
105C2×#14524024C2211yescharacteristic, complemented
106C2×#14524024C2211yescharacteristic, complemented
107C2×#14524024C2211yescharacteristic, complemented
108C2×#14524024C2211yescharacteristic, complemented
109C2×#14524024C2211yescharacteristic, complemented
110C2×#14524024C2211yescharacteristic, complemented
111C2×#14524024C2211yescharacteristic, complemented
112C2×#14524024C2211yescharacteristic, complemented
113C2×#14524024C2211yescharacteristic, complemented
114C2×#14524024C2211yescharacteristic, complemented
115C2×#14524024C2211yescharacteristic, complemented
116C2×#14524024C22116yescomplemented
117C2×#14524022C2211yescharacteristic, complemented
118C2×#14524022C2211yescharacteristic, complemented
119C2×#14524022C2211yescharacteristic, complemented
120C2×#14524021C2211yescharacteristic, complemented
121C2×#14524021C2211yescharacteristic, complemented
122C2×#14524021C2211yescharacteristic, complemented
123C2×#14524020C2211yescharacteristic, complemented
124C2×#14524020C2211yescharacteristic, complemented
125C2×#14524020C2211yescharacteristic, complemented
126C2×#14524020C2211yescharacteristic, complemented
127C2×#14524020C2211yescharacteristic, complemented
128C2×#14524020C2211yescharacteristic, complemented
129C2×#14524017C2211yescharacteristic, complemented
130C2×#14524016C2211yescharacteristic, complemented
131C2×#14524016C2211yescharacteristic, complemented
132C2×#14524016C2211yescharacteristic, complemented
133C2×#14524015C2211yescharacteristic
134C2×#14524015C2211yescharacteristic
135C2×#14524015C2211yescharacteristic, complemented
136C2×#14524015C2211yescharacteristic, complemented
137C2×#14524015C2211yescharacteristic, complemented
138C2×#14524015C2211yescharacteristic, complemented
139C2×#14524015C2211yescharacteristic, complemented
140C2×#14524015C2211yescharacteristic, complemented
141C2×#14524015C2211yescharacteristic, complemented
142C2×#14524015C2211yescharacteristic, complemented
143C2×#14524015C2211yescharacteristic, complemented
144C2×#14524015C2211yescharacteristic, complemented
145C2×#14524015C2211yescharacteristic, complemented
146C2×#14524015C2211yescharacteristic, complemented
147C2×#14524015C2211yescharacteristic, complemented
148C2×#14524015C2211yescharacteristic, complemented
149C2×#14524015C2211yescharacteristic, complemented
150C2×#14524015C2211yescharacteristic, complemented
151C2×#14524015C2211yescharacteristic, complemented
152C2×#14524015C2211yescharacteristic, complemented
153C2×#14524015C2211yescharacteristic, complemented
154C2×#14524015C2211yescharacteristic, complemented
155C2×#14524015C22116yescomplemented
156C2×#14524014C2211yescharacteristic, complemented
157C2×#14524014C2211yescharacteristic, complemented
158C2×#14524014C2211yescharacteristic, complemented
159C2×#14524014C2211yescharacteristic, complemented
160C2×#14524014C2211yescharacteristic, complemented
161C2×#14524014C2211yescharacteristic, complemented
162C2×#14524012C2211yescharacteristic, complemented
163C2×#14524012C2211yescharacteristic, complemented
164C2×#14524012C2211yescharacteristic, complemented
165C2×#14524012C2211yescharacteristic, complemented
166C2×#14524012C2211yescharacteristic, complemented
167C2×#14524012C2211yescharacteristic, complemented
168C2×#14524011C2211yescharacteristic
169C2×#14524011C2211yescharacteristic, complemented
170C2×#14524011C2211yescharacteristic, complemented
171C2×#14524011C2211yescharacteristic, complemented
172C2×#14524011C2211yescharacteristic, complemented
173C2×#14524011C2211yescharacteristic, complemented
174C2×D4×Dic67C2211yescharacteristic, complemented
175C2×D4×Dic67C2211yescharacteristic, complemented
176C2×D4×Dic67C2211yescharacteristic, complemented
177C2×D4×Dic67C2211yescharacteristic, complemented
178C2×D4×Dic67C2211yescharacteristic, complemented
179C2×D4×Dic67C2211yescharacteristic, complemented
180C2×C4×C22⋊D67C2211yescharacteristic, complemented
181C2×C4×C22⋊D67C2211yescharacteristic, complemented
182C2×C4×C22⋊D67C2211yescharacteristic, complemented
183C2×C4×C22⋊D67C2211yescharacteristic, complemented
184C2×(C22⋊D67)⋊C4C2211yescharacteristic, complemented
185C2×(C22⋊D67)⋊C4C2211yescharacteristic, complemented
186C2×(C22⋊D67)⋊C4C2211yescharacteristic, complemented
187C2×(C22⋊D67)⋊C4C2211yescharacteristic, complemented
188C2×#14524000C2211yescharacteristic, complemented
189C2×#14523999C2211yescharacteristic, complemented
190C2×#14523999C2211yescharacteristic, complemented
191C22×Dic67⋊C4C2211yescharacteristic, complemented
192C22×Dic67⋊C4C2211yescharacteristic, complemented
193C22×Dic67⋊C4C2211yescharacteristic, complemented
194C22×C22⋊Dic67C2211yescharacteristic, complemented
195C22×C22⋊Dic67C2211yescharacteristic, complemented
196C22×C22⋊Dic67C2211yescharacteristic, complemented
197C22×C22⋊Dic67C2211yescharacteristic, complemented
198C22×C22⋊Dic67C2211yescharacteristic, complemented
199C22×C22⋊Dic67C2211yescharacteristic, complemented
200C22×(C2×D67)⋊C4C2211yescharacteristic, complemented
201C2×C22⋊C4×D67C2211yescharacteristic, complemented
202C2×C22⋊C4×D67C2211yescharacteristic, complemented
203C23×D4×C67C2211yescharacteristic
204C23×D4×C67C2211yescharacteristic, complemented
205C23×D4×C67C2211yescharacteristic, complemented
206C23×D4×C67C2211yescharacteristic, complemented
207D42×C67C22116yescomplemented
208C2×#127×C67C2211yescharacteristic, complemented
209C2×#121×C67C2211yescharacteristic
210C2×#121×C67C2211yescharacteristic, complemented
211C2×#121×C67C2211yescharacteristic, complemented
212C2×#121×C67C2211yescharacteristic, complemented
213C2×#120×C67C2211yescharacteristic
214C2×#120×C67C2211yescharacteristic, complemented
215C2×#120×C67C2211yescharacteristic, complemented
216C2×#120×C67C2211yescharacteristic, complemented
217C2×C4×D4×C67C2211yescharacteristic, complemented
218C2×C4×D4×C67C2211yescharacteristic, complemented
219C24×D67C2311yescharacteristic
220C24×D67C2311yescharacteristic
221C2×#11761627—44no—
222C2×#11761627—44no—
223C2×#11761627—44no—
224C2×#11761627C2318yescomplemented
225C2×#11761627C2318yescomplemented
226C2×#11761627C2318yescomplemented
227C22×Dic134C2311yescharacteristic
228C22×Dic134C2311yescharacteristic
229C22×Dic134C2311yescharacteristic
230C22×D268C2311yescharacteristic
231C22×C22⋊D67—44no—
232C22×C22⋊D67—44no—
233C22×C22⋊D67—44no—
234C22×C22⋊D67C2311yescharacteristic
235C22×C22⋊D67C2311yescharacteristic
236C22×C22⋊D67C2311yescharacteristic
237C22×C22⋊D67C2311yescharacteristic
238C22×C22⋊D67C2311yescharacteristic
239C22×C22⋊D67C2311yescharacteristic
240C22×C22⋊D67C2311yescharacteristic
241C22×C22⋊D67C2311yescharacteristic
242C22×C22⋊D67C2311yescharacteristic
243C22×C22⋊D67C2311yescharacteristic
244C22×C22⋊D67C2311yescharacteristic
245C22×C22⋊D67C2311yescharacteristic
246C22×C22⋊D67C2311yescharacteristic
247C22×C22⋊D67C2311yescharacteristic
248C22×C22⋊D67C2311yescharacteristic
249C22×C22⋊D67C2311yescharacteristic
250C22×C22⋊D67C2311yescharacteristic
251C22×C22⋊D67C2311yescharacteristic
252C22×C22⋊D67C2311yescharacteristic
253C22×C22⋊D67C2311yescharacteristic
254C22×C22⋊D67C2318yescomplemented
255C22×C22⋊D67C2318yescomplemented
256C22×C22⋊D67C2318yescomplemented
257C2×D4×D67—44no—
258C2×D4×D67C2318yescomplemented
259C23×Dic67—44no—
260C23×Dic67C2311yescharacteristic
261C23×Dic67C2311yescharacteristic
262C23×Dic67C2311yescharacteristic
263C23×Dic67C2311yescharacteristic
264C23×Dic67C2311yescharacteristic
265C23×Dic67C2311yescharacteristic
266C23×Dic67C2311yescharacteristic
267C23×Dic67C2311yescharacteristic
268C23×Dic67C2311yescharacteristic
269C23×Dic67C2311yescharacteristic
270C23×Dic67C2311yescharacteristic
271C23×Dic67C2311yescharacteristic
272C23×Dic67C2311yescharacteristic
273C23×Dic67C2311yescharacteristic
274C23×Dic67C2318yescomplemented
275C22×C4×D67C2311yescharacteristic
276C22×C4×D67C2311yescharacteristic
277C22×C4×D67C2311yescharacteristic
278C22×C4×D67C2311yescharacteristic
279C22×C4×D67C2311yescharacteristic
280#14524039C2318yescomplemented
281#14524038C2318yescomplemented
282#14524037C2318yescomplemented
283#14524037C2318yescomplemented
284#14524036C2318yescomplemented
285#14524036C2318yescomplemented
286#14524036C2318yescomplemented
287#14524036C2318yescomplemented
288#14524036C2318yescomplemented
289#14524035C2318yescomplemented
290#14524033C2318yescomplemented
291#14524033C2318yescomplemented
292#14524033C2318yescomplemented
293#14524030C2318yescomplemented
294#14524030C2318yescomplemented
295#14524030C2318yescomplemented
296#14524029C2318yescomplemented
297#14524029C2318yescomplemented
298#14524029C2318yescomplemented
299#14524028C2318yescomplemented
300#14524027C2318yescomplemented
301#14524027C2318yescomplemented
302#14524026C2318yescomplemented
303#14524026C2318yescomplemented
304#14524026C2318yescomplemented
305#14524026C2318yescomplemented
306#14524025C2318yescomplemented
307#14524025C2318yescomplemented
308#14524025C2318yescomplemented
309#14524025C2318yescomplemented
310#14524025C2318yescomplemented
311#14524024C2318yescomplemented
312#14524024C2318yescomplemented
313#14524024C2318yescomplemented
314#14524024C2318yescomplemented
315#14524024C2318yescomplemented
316#14524024C2318yescomplemented
317#14524024C2318yescomplemented
318#14524024C2318yescomplemented
319#14524024C2318yescomplemented
320#14524024C2318yescomplemented
321#14524024C2318yescomplemented
322#14524024C2318yescomplemented
323#14524024C2318yescomplemented
324#14524024C2318yescomplemented
325#14524024C2318yescomplemented
326#14524024C2318yescomplemented
327#14524022C2318yescomplemented
328#14524022C2318yescomplemented
329#14524022C2318yescomplemented
330#14524021C2318yescomplemented
331#14524021C2318yescomplemented
332#14524021C2318yescomplemented
333#14524020C2318yescomplemented
334#14524020C2318yescomplemented
335#14524020C2318yescomplemented
336#14524020C2318yescomplemented
337#14524020C2318yescomplemented
338#14524020C2318yescomplemented
339#14524017C2318yescomplemented
340#14524016C2318yescomplemented
341#14524016C2318yescomplemented
342#14524016C2318yescomplemented
343#14524015C2318yes—
344#14524015C2318yes—
345#14524015C2318yescomplemented
346#14524015C2318yescomplemented
347#14524015C2318yescomplemented
348#14524015C2318yescomplemented
349#14524015C2318yescomplemented
350#14524015C2318yescomplemented
351#14524015C2318yescomplemented
352#14524015C2318yescomplemented
353#14524015C2318yescomplemented
354#14524015C2318yescomplemented
355#14524015C2318yescomplemented
356#14524015C2318yescomplemented
357#14524015C2318yescomplemented
358#14524015C2318yescomplemented
359#14524015C2318yescomplemented
360#14524015C2318yescomplemented
361#14524015C2318yescomplemented
362#14524015C2318yescomplemented
363#14524015C2318yescomplemented
364#14524015C2318yescomplemented
365#14524014C2318yescomplemented
366#14524014C2318yescomplemented
367#14524014C2318yescomplemented
368#14524014C2318yescomplemented
369#14524014C2318yescomplemented
370#14524014C2318yescomplemented
371#14524012C2318yescomplemented
372#14524012C2318yescomplemented
373#14524012C2318yescomplemented
374#14524012C2318yescomplemented
375#14524012C2318yescomplemented
376#14524012C2318yescomplemented
377#14524011C2318yes—
378#14524011C2318yescomplemented
379#14524011C2318yescomplemented
380#14524011C2318yescomplemented
381#14524011C2318yescomplemented
382#14524011C2318yescomplemented
383D4×Dic67C2318yescomplemented
384D4×Dic67C2318yescomplemented
385D4×Dic67C2318yescomplemented
386D4×Dic67C2318yescomplemented
387D4×Dic67C2318yescomplemented
388D4×Dic67C2318yescomplemented
389C4×C22⋊D67C2318yescomplemented
390C4×C22⋊D67C2318yescomplemented
391C4×C22⋊D67C2318yescomplemented
392C4×C22⋊D67C2318yescomplemented
393(C22⋊D67)⋊C4C2318yescomplemented
394(C22⋊D67)⋊C4C2318yescomplemented
395(C22⋊D67)⋊C4C2318yescomplemented
396(C22⋊D67)⋊C4C2318yescomplemented
397#14524000C2318yescomplemented
398#14523999C2318yescomplemented
399#14523999C2318yescomplemented
400C2×C4⋊Dic67C2311yescharacteristic
401C2×C4⋊Dic67C2311yescharacteristic
402C2×C4⋊Dic67C2311yescharacteristic
403C2×C4⋊Dic67C2311yescharacteristic
404C2×C4⋊Dic67C2311yescharacteristic
405C2×C4⋊Dic67C2311yescharacteristic
406C2×Dic67⋊C4C2311yescharacteristic
407C2×Dic67⋊C4C2311yescharacteristic
408C2×Dic67⋊C4C2311yescharacteristic
409C2×Dic67⋊C4C2311yescharacteristic
410C2×Dic67⋊C4C2311yescharacteristic
411C2×Dic67⋊C4C2311yescharacteristic
412C2×Dic67⋊C4C2311yescharacteristic
413C2×Dic67⋊C4C2311yescharacteristic
414C2×Dic67⋊C4C2311yescharacteristic
415C2×Dic67⋊C4C2311yescharacteristic
416C2×Dic67⋊C4C2311yescharacteristic
417C2×Dic67⋊C4C2311yescharacteristic
418C2×Dic67⋊C4C2311yescharacteristic
419C2×Dic67⋊C4C2311yescharacteristic
420C2×Dic67⋊C4C2311yescharacteristic
421C2×Dic67⋊C4C2311yescharacteristic
422C2×Dic67⋊C4C2311yescharacteristic
423C2×Dic67⋊C4C2311yescharacteristic
424C2×Dic67⋊C4C2311yescharacteristic
425C2×Dic67⋊C4C2311yescharacteristic
426C2×Dic67⋊C4C2311yescharacteristic
427C2×Dic67⋊C4C2311yescharacteristic
428C2×Dic67⋊C4C2318yescomplemented
429C2×Dic67⋊C4C2318yescomplemented
430C2×Dic67⋊C4C2318yescomplemented
431C2×C22⋊Dic67C2311yescharacteristic
432C2×C22⋊Dic67C2311yescharacteristic
433C2×C22⋊Dic67C2311yescharacteristic
434C2×C22⋊Dic67C2311yescharacteristic
435C2×C22⋊Dic67C2311yescharacteristic
436C2×C22⋊Dic67C2311yescharacteristic
437C2×C22⋊Dic67C2311yescharacteristic
438C2×C22⋊Dic67C2311yescharacteristic
439C2×C22⋊Dic67C2311yescharacteristic
440C2×C22⋊Dic67C2311yescharacteristic
441C2×C22⋊Dic67C2311yescharacteristic
442C2×C22⋊Dic67C2311yescharacteristic
443C2×C22⋊Dic67C2311yescharacteristic
444C2×C22⋊Dic67C2311yescharacteristic
445C2×C22⋊Dic67C2311yescharacteristic
446C2×C22⋊Dic67C2311yescharacteristic
447C2×C22⋊Dic67C2311yescharacteristic
448C2×C22⋊Dic67C2311yescharacteristic
449C2×C22⋊Dic67C2311yescharacteristic
450C2×C22⋊Dic67C2311yescharacteristic
451C2×C22⋊Dic67C2311yescharacteristic
452C2×C22⋊Dic67C2311yescharacteristic
453C2×C22⋊Dic67C2311yescharacteristic
454C2×C22⋊Dic67C2311yescharacteristic
455C2×C22⋊Dic67C2311yescharacteristic
456C2×C22⋊Dic67C2311yescharacteristic
457C2×C22⋊Dic67C2311yescharacteristic
458C2×C22⋊Dic67C2311yescharacteristic
459C2×C22⋊Dic67C2318yescomplemented
460C2×C22⋊Dic67C2318yescomplemented
461C2×C22⋊Dic67C2318yescomplemented
462C2×C22⋊Dic67C2318yescomplemented
463C2×C22⋊Dic67C2318yescomplemented
464C2×C22⋊Dic67C2318yescomplemented
465C2×(C2×D67)⋊C4C2311yescharacteristic
466C2×(C2×D67)⋊C4C2311yescharacteristic
467C2×(C2×D67)⋊C4C2311yescharacteristic
468C2×(C2×D67)⋊C4C2311yescharacteristic
469C2×(C2×D67)⋊C4C2311yescharacteristic
470C2×(C2×D67)⋊C4C2311yescharacteristic
471C2×(C2×D67)⋊C4C2311yescharacteristic
472C2×(C2×D67)⋊C4C2311yescharacteristic
473C2×(C2×D67)⋊C4C2311yescharacteristic
474C2×(C2×D67)⋊C4C2311yescharacteristic
475C2×(C2×D67)⋊C4C2311yescharacteristic
476C2×(C2×D67)⋊C4C2311yescharacteristic
477C2×(C2×D67)⋊C4C2311yescharacteristic
478C2×(C2×D67)⋊C4C2311yescharacteristic
479C2×(C2×D67)⋊C4C2318yescomplemented
480C22⋊C4×D67C2318yescomplemented
481C22⋊C4×D67C2318yescomplemented
482C2×C4×Dic67C2311yescharacteristic
483C2×C4×Dic67C2311yescharacteristic
484C2×C4×Dic67C2311yescharacteristic
485C2×C4×Dic67C2311yescharacteristic
486C2×C4×Dic67C2311yescharacteristic
487C25×C67C2311yescharacteristic
488C25×C67C2311yescharacteristic
489C25×C67C2311yescharacteristic
490C25×C67C2311yescharacteristic
491C22×D4×C67—44no—
492C22×D4×C67—44no—
493C22×D4×C67—44no—
494C22×D4×C67—44no—
495C22×D4×C67C2311yescharacteristic
496C22×D4×C67C2311yescharacteristic
497C22×D4×C67C2311yescharacteristic
498C22×D4×C67C2311yescharacteristic
499C22×D4×C67C2311yescharacteristic
500C22×D4×C67C2311yescharacteristic
501C22×D4×C67C2318yes—
502C22×D4×C67C2311yescharacteristic
503C22×D4×C67C2311yescharacteristic
504C22×D4×C67C2311yescharacteristic
505C22×D4×C67C2311yescharacteristic
506C22×D4×C67C2311yescharacteristic
507C22×D4×C67C2311yescharacteristic
508C22×D4×C67C2311yescharacteristic
509C22×D4×C67C2311yescharacteristic
510C22×D4×C67C2311yescharacteristic
511C22×D4×C67C2311yescharacteristic
512C22×D4×C67C2318yescomplemented
513C22×D4×C67C2318yescomplemented
514C22×D4×C67C2318yescomplemented
515C23×C4×C67C2311yescharacteristic
516C23×C4×C67C2311yescharacteristic
517C23×C4×C67C2311yescharacteristic
518C23×C4×C67C2311yescharacteristic
519#127×C67C2318yescomplemented
520#121×C67C2318yes—
521#121×C67C2318yescomplemented
522#121×C67C2318yescomplemented
523#121×C67C2318yescomplemented
524#120×C67C2318yes—
525#120×C67C2318yescomplemented
526#120×C67C2318yescomplemented
527#120×C67C2318yescomplemented
528C4×D4×C67C2318yescomplemented
529C4×D4×C67C2318yescomplemented
530C2×C4⋊C4×C67C2311yescharacteristic
531C2×C4⋊C4×C67C2311yescharacteristic
532C2×C22⋊C4×C67C2311yescharacteristic
533C2×C22⋊C4×C67C2311yescharacteristic
534C2×C22⋊C4×C67C2311yescharacteristic
535C2×C22⋊C4×C67C2311yescharacteristic
536C2×C22⋊C4×C67C2311yescharacteristic
537C2×C22⋊C4×C67C2311yescharacteristic
538C2×C22⋊C4×C67C2311yescharacteristic
539C2×C22⋊C4×C67C2311yescharacteristic
540C2×C42×C67C2311yescharacteristic
541C23×D67—24no—
542C23×D67—42no—
543C23×D67—42no—
544C23×D67—42no—
545C23×D67—42no—
546C23×D67—42no—
547C23×D67C2411yescharacteristic
548C23×D67C2411yescharacteristic
549C23×D67C2411yescharacteristic
550C23×D67C2414yes—
551C23×D67C2414yes—
552#11761627—416no—
553#11761627—416no—
554#11761627—416no—
555C2×Dic134—42no—
556C2×Dic134—42no—
557C2×Dic134—42no—
558C2×Dic134C2414yes—
559C2×Dic134C2414yes—
560C2×Dic134C2414yes—
561C2×D268—42no—
562C2×D268C2414yes—
563C2×C22⋊D67—24no—
564C2×C22⋊D67—24no—
565C2×C22⋊D67—24no—
566C2×C22⋊D67—24no—
567C2×C22⋊D67—42no—
568C2×C22⋊D67—42no—
569C2×C22⋊D67—42no—
570C2×C22⋊D67—42no—
571C2×C22⋊D67—42no—
572C2×C22⋊D67—42no—
573C2×C22⋊D67—42no—
574C2×C22⋊D67—42no—
575C2×C22⋊D67—42no—
576C2×C22⋊D67—416no—
577C2×C22⋊D67—42no—
578C2×C22⋊D67—42no—
579C2×C22⋊D67—42no—
580C2×C22⋊D67—42no—
581C2×C22⋊D67—42no—
582C2×C22⋊D67—42no—
583C2×C22⋊D67—42no—
584C2×C22⋊D67—416no—
585C2×C22⋊D67—416no—
586C2×C22⋊D67C2414yes—
587C2×C22⋊D67C2414yes—
588C2×C22⋊D67C2414yes—
589C2×C22⋊D67C2414yes—
590C2×C22⋊D67C2414yes—
591C2×C22⋊D67C2414yes—
592C2×C22⋊D67C2414yes—
593C2×C22⋊D67C2414yes—
594C2×C22⋊D67C2414yes—
595C2×C22⋊D67C2414yes—
596C2×C22⋊D67C2414yes—
597C2×C22⋊D67C2414yes—
598C2×C22⋊D67C2414yes—
599C2×C22⋊D67C2414yes—
600C2×C22⋊D67C2414yes—
601C2×C22⋊D67C2414yes—
602C2×C22⋊D67C2414yes—
603C2×C22⋊D67C2414yes—
604C2×C22⋊D67C2414yes—
605C2×C22⋊D67C2414yes—
606D4×D67—416no—
607C22×Dic67—24no—
608C22×Dic67—24no—
609C22×Dic67—24no—
610C22×Dic67—42no—
611C22×Dic67—42no—
612C22×Dic67—42no—
613C22×Dic67—42no—
614C22×Dic67—416no—
615C22×Dic67—42no—
616C22×Dic67—42no—
617C22×Dic67—42no—
618C22×Dic67—42no—
619C22×Dic67—42no—
620C22×Dic67—42no—
621C22×Dic67—42no—
622C22×Dic67C2411yescharacteristic
623C22×Dic67C2411yescharacteristic
624C22×Dic67C2411yescharacteristic
625C22×Dic67C2411yescharacteristic
626C22×Dic67C2411yescharacteristic
627C22×Dic67C2411yescharacteristic
628C22×Dic67C2411yescharacteristic
629C22×Dic67C2411yescharacteristic
630C22×Dic67C2411yescharacteristic
631C22×Dic67C2411yescharacteristic
632C22×Dic67C2411yescharacteristic
633C22×Dic67C2411yescharacteristic
634C22×Dic67C2411yescharacteristic
635C22×Dic67C2414yes—
636C22×Dic67C2414yes—
637C22×Dic67C2414yes—
638C22×Dic67C2414yes—
639C22×Dic67C2414yes—
640C22×Dic67C2414yes—
641C22×Dic67C2414yes—
642C22×Dic67C2414yes—
643C22×Dic67C2414yes—
644C22×Dic67C2414yes—
645C22×Dic67C2414yes—
646C22×Dic67C2414yes—
647C22×Dic67C2414yes—
648C22×Dic67C2414yes—
649C2×C4×D67—42no—
650C2×C4×D67—42no—
651C2×C4×D67—42no—
652C2×C4×D67—42no—
653C2×C4×D67—42no—
654C2×C4×D67C2414yes—
655C2×C4×D67C2414yes—
656C2×C4×D67C2414yes—
657C2×C4×D67C2414yes—
658C2×C4×D67C2414yes—
659C4⋊Dic67C2414yes—
660C4⋊Dic67C2414yes—
661C4⋊Dic67C2414yes—
662C4⋊Dic67C2414yes—
663C4⋊Dic67C2414yes—
664C4⋊Dic67C2414yes—
665Dic67⋊C4C2414yes—
666Dic67⋊C4C2414yes—
667Dic67⋊C4C2414yes—
668Dic67⋊C4C2414yes—
669Dic67⋊C4C2414yes—
670Dic67⋊C4C2414yes—
671Dic67⋊C4C2414yes—
672Dic67⋊C4C2414yes—
673Dic67⋊C4C2414yes—
674Dic67⋊C4C2414yes—
675Dic67⋊C4C2414yes—
676Dic67⋊C4C2414yes—
677Dic67⋊C4C2414yes—
678Dic67⋊C4C2414yes—
679Dic67⋊C4C2414yes—
680Dic67⋊C4C2414yes—
681Dic67⋊C4C2414yes—
682Dic67⋊C4C2414yes—
683Dic67⋊C4C2414yes—
684Dic67⋊C4C2414yes—
685Dic67⋊C4C2414yes—
686Dic67⋊C4C2414yes—
687C22⋊Dic67C2414yes—
688C22⋊Dic67C2414yes—
689C22⋊Dic67C2414yes—
690C22⋊Dic67C2414yes—
691C22⋊Dic67C2414yes—
692C22⋊Dic67C2414yes—
693C22⋊Dic67C2414yes—
694C22⋊Dic67C2414yes—
695C22⋊Dic67C2414yes—
696C22⋊Dic67C2414yes—
697C22⋊Dic67C2414yes—
698C22⋊Dic67C2414yes—
699C22⋊Dic67C2414yes—
700C22⋊Dic67C2414yes—
701C22⋊Dic67C2414yes—
702C22⋊Dic67C2414yes—
703C22⋊Dic67C2414yes—
704C22⋊Dic67C2414yes—
705C22⋊Dic67C2414yes—
706C22⋊Dic67C2414yes—
707C22⋊Dic67C2414yes—
708C22⋊Dic67C2414yes—
709C22⋊Dic67C2414yes—
710C22⋊Dic67C2414yes—
711C22⋊Dic67C2414yes—
712C22⋊Dic67C2414yes—
713C22⋊Dic67C2414yes—
714C22⋊Dic67C2414yes—
715(C2×D67)⋊C4C2414yes—
716(C2×D67)⋊C4C2414yes—
717(C2×D67)⋊C4C2414yes—
718(C2×D67)⋊C4C2414yes—
719(C2×D67)⋊C4C2414yes—
720(C2×D67)⋊C4C2414yes—
721(C2×D67)⋊C4C2414yes—
722(C2×D67)⋊C4C2414yes—
723(C2×D67)⋊C4C2414yes—
724(C2×D67)⋊C4C2414yes—
725(C2×D67)⋊C4C2414yes—
726(C2×D67)⋊C4C2414yes—
727(C2×D67)⋊C4C2414yes—
728(C2×D67)⋊C4C2414yes—
729C4×Dic67C2414yes—
730C4×Dic67C2414yes—
731C4×Dic67C2414yes—
732C4×Dic67C2414yes—
733C4×Dic67C2414yes—
734C24×C67—24no—
735C24×C67—24no—
736C24×C67—24no—
737C24×C67—24no—
738C24×C67—42no—
739C24×C67—42no—
740C24×C67—42no—
741C24×C67—42no—
742C24×C67—42no—
743C24×C67—42no—
744C24×C67—42no—
745C24×C67—42no—
746C24×C67C2411yescharacteristic
747C24×C67C2411yescharacteristic
748C24×C67C2411yescharacteristic
749C24×C67C2411yescharacteristic
750C24×C67C2411yescharacteristic
751C24×C67C2411yescharacteristic
752C24×C67C2414yes—
753C24×C67C2411yescharacteristic
754C24×C67C2411yescharacteristic
755C24×C67C2414yes—
756C24×C67C2414yes—
757C24×C67C2414yes—
758C2×D4×C67—24no—
759C2×D4×C67—24no—
760C2×D4×C67—24no—
761C2×D4×C67—24no—
762C2×D4×C67—24no—
763C2×D4×C67—24no—
764C2×D4×C67—42no—
765C2×D4×C67—42no—
766C2×D4×C67—42no—
767C2×D4×C67—42no—
768C2×D4×C67—42no—
769C2×D4×C67—42no—
770C2×D4×C67—42no—
771C2×D4×C67—42no—
772C2×D4×C67—42no—
773C2×D4×C67—42no—
774C2×D4×C67—416no—
775C2×D4×C67—416no—
776C2×D4×C67—416no—
777C2×D4×C67—416no—
778C2×D4×C67C2414yes—
779C2×D4×C67C2414yes—
780C2×D4×C67C2414yes—
781C2×D4×C67C2414yes—
782C2×D4×C67C2414yes—
783C2×D4×C67C2414yes—
784C2×D4×C67C2414yes—
785C2×D4×C67C2414yes—
786C2×D4×C67C2414yes—
787C2×D4×C67C2414yes—
788C2×D4×C67C2414yes—
789C2×D4×C67C2414yes—
790C2×D4×C67C2414yes—
791C2×D4×C67C2414yes—
792C2×D4×C67C2414yes—
793C2×D4×C67C2414yes—
794C22×C4×C67—42no—
795C22×C4×C67—42no—
796C22×C4×C67—42no—
797C22×C4×C67—42no—
798C22×C4×C67C2411yescharacteristic
799C22×C4×C67C2411yescharacteristic
800C22×C4×C67C2411yescharacteristic
801C22×C4×C67C2411yescharacteristic
802C22×C4×C67C2411yescharacteristic
803C22×C4×C67C2411yescharacteristic
804C22×C4×C67C2411yescharacteristic
805C22×C4×C67C2414yes—
806C22×C4×C67C2414yes—
807C22×C4×C67C2414yes—
808C22×C4×C67C2414yes—
809C4⋊C4×C67C2414yes—
810C4⋊C4×C67C2414yes—
811C22⋊C4×C67C2414yes—
812C22⋊C4×C67C2414yes—
813C22⋊C4×C67C2414yes—
814C22⋊C4×C67C2414yes—
815C22⋊C4×C67C2414yes—
816C22⋊C4×C67C2414yes—
817C22⋊C4×C67C2414yes—
818C22⋊C4×C67C2414yes—
819C42×C67C2414yes—
820C23×C67—22no—
821C23×C67—22no—
822C23×C67—22no—
823C23×C67—22no—
824C23×C67—22no—
825C23×C67—22no—
826C23×C67—22no—
827C23×C67—22no—
828C23×C67—22no—
829C23×C67—22no—
830C23×C67—22no—
831C23×C67—22no—
832C23×C67—28no—
833C23×C67—22no—
834C23×C67—22no—
835C23×C67—28no—
836C23×C67—22no—
837C23×C67—22no—
838C23×C67—22no—
839C23×C67—22no—
840C23×C67—22no—
841C23×C67—22no—
842C23×C67—22no—
843C23×C67—22no—
844C23×C67—28no—
845C23×C67—28no—
846C23×C67—44no—
847C23×C67—44no—
848C23×C67—44no—
849C23×C67—44no—
850C23×C67—44no—
851C23×C67—44no—
852C23×C67—44no—
853C23×C67—44no—
854C23×C67—416no—
855C23×C67—88no—
856C23×C67—88no—
857C23×C67—88no—
858C23×C67H(5,𝔽2)14yes—
859C23×C67H(5,𝔽2)14yes—
860C23×C67C2512yes—
861C23×C67C2512yes—
862C23×C67C2512yes—
863C23×C67C2512yes—
864C23×C67C2512yes—
865C23×C67C2512yes—
866C23×C67C2512yes—
867C23×C67C2512yes—
868C23×C67C2511yescharacteristic
869C22×D67—22no—
870C22×D67—22no—
871C22×D67—22no—
872C22×D67—22no—
873C22×D67—22no—
874C22×D67—22no—
875C22×D67—22no—
876C22×D67—22no—
877C22×D67—22no—
878C22×D67—28no—
879C22×D67—44no—
880C22×D67—44no—
881C22×D67—44no—
882C22×D67—44no—
883C22×D67—44no—
884C22×D67—88no—
885C22×D67—88no—
886C22×D67C2512yes—
887C22×D67C2512yes—
888C22×D67C2512yes—
889D4×C67—28no—
890D4×C67—28no—
891D4×C67—28no—
892D4×C67—28no—
893D4×C67—28no—
894D4×C67—28no—
895D4×C67—44no—
896D4×C67—44no—
897D4×C67—44no—
898D4×C67—44no—
899D4×C67—44no—
900D4×C67—44no—
901D4×C67—44no—
902D4×C67—44no—
903D4×C67—44no—
904D4×C67—44no—
905C2×C4×C67—22no—
906C2×C4×C67—22no—
907C2×C4×C67—22no—
908C2×C4×C67—22no—
909C2×C4×C67—22no—
910C2×C4×C67—22no—
911C2×C4×C67—22no—
912C2×C4×C67—44no—
913C2×C4×C67—44no—
914C2×C4×C67—44no—
915C2×C4×C67—44no—
916C2×C4×C67C2512yes—
917C2×C4×C67C2512yes—
918C2×C4×C67C2512yes—
919C2×C4×C67C2512yes—
920C2×C4×C67C2512yes—
921C2×C4×C67C2512yes—
922C2×C4×C67C2512yes—
923C22⋊D67—28no—
924C22⋊D67—28no—
925C22⋊D67—28no—
926C22⋊D67—28no—
927C22⋊D67—44no—
928C22⋊D67—44no—
929C22⋊D67—44no—
930C22⋊D67—44no—
931C22⋊D67—44no—
932C22⋊D67—44no—
933C22⋊D67—44no—
934C22⋊D67—44no—
935C22⋊D67—44no—
936C22⋊D67—44no—
937C22⋊D67—44no—
938C22⋊D67—44no—
939C22⋊D67—44no—
940C22⋊D67—44no—
941C22⋊D67—44no—
942C22⋊D67—44no—
943C2×Dic67—22no—
944C2×Dic67—22no—
945C2×Dic67—22no—
946C2×Dic67—22no—
947C2×Dic67—28no—
948C2×Dic67—22no—
949C2×Dic67—22no—
950C2×Dic67—22no—
951C2×Dic67—28no—
952C2×Dic67—28no—
953C2×Dic67—22no—
954C2×Dic67—22no—
955C2×Dic67—22no—
956C2×Dic67—22no—
957C2×Dic67—22no—
958C2×Dic67—22no—
959C2×Dic67—44no—
960C2×Dic67—44no—
961C2×Dic67—44no—
962C2×Dic67—44no—
963C2×Dic67—44no—
964C2×Dic67—44no—
965C2×Dic67—44no—
966C2×Dic67—44no—
967C2×Dic67—44no—
968C2×Dic67—44no—
969C2×Dic67—44no—
970C2×Dic67C2512yes—
971C2×Dic67C2512yes—
972C2×Dic67C2512yes—
973C2×Dic67C2512yes—
974C2×Dic67C2512yes—
975C2×Dic67C2512yes—
976C2×Dic67C2512yes—
977C2×Dic67C2512yes—
978C2×Dic67C2512yes—
979C2×Dic67C2512yes—
980C2×Dic67C2512yes—
981C2×Dic67C2512yes—
982C2×Dic67C2512yes—
983D268—44no—
984C4×D67—44no—
985C4×D67—44no—
986C4×D67—44no—
987C4×D67—44no—
988C4×D67—44no—
989Dic134—44no—
990Dic134—44no—
991Dic134—44no—
992C22×C67—22no—
993C22×C67—22no—
994C22×C67—22no—
995C22×C67—22no—
996C22×C67—28no—
997C22×C67—28no—
998C22×C67—22no—
999C22×C67—22no—
1000C22×C67—22no—
1001C22×C67—22no—
1002C22×C67—22no—
1003C22×C67—22no—
1004C22×C67—22no—
1005C22×C67—22no—
1006C22×C67—22no—
1007C22×C67—22no—
1008C22×C67—22no—
1009C22×C67—22no—
1010C22×C67—22no—
1011C22×C67—22no—
1012C22×C67—22no—
1013C22×C67—22no—
1014C22×C67—22no—
1015C22×C67—22no—
1016C22×C67—416no—
1017C22×C67—44no—
1018C22×C67—44no—
1019C22×C67—44no—
1020C22×C67—44no—
1021C22×C67—44no—
1022C22×C67—44no—
1023C22×C67—88no—
1024C22×C67—88no—
1025C22×C67—88no—
1026C22×C67C2×H(5,𝔽2)14yes—
1027C22×C67C2×H(5,𝔽2)14yes—
1028C22×C67C2×H(5,𝔽2)12yes—
1029C22×C67C2×H(5,𝔽2)12yes—
1030C22×C67#58512yes—
1031C22×C67C2611yescharacteristic
1032C2×D67—22no—
1033C2×D67—22no—
1034C2×D67—22no—
1035C2×D67—22no—
1036C2×D67—22no—
1037C2×D67—22no—
1038C2×D67—22no—
1039C2×D67—22no—
1040C2×D67—22no—
1041C2×D67—44no—
1042C2×D67—44no—
1043C2×D67—44no—
1044C2×D67—88no—
1045C2×D67—88no—
1046C4×C67—22no—
1047C4×C67—22no—
1048C4×C67—22no—
1049C4×C67—22no—
1050C4×C67—22no—
1051C4×C67—22no—
1052C4×C67—22no—
1053Dic67—22no—
1054Dic67—22no—
1055Dic67—22no—
1056Dic67—22no—
1057Dic67—22no—
1058Dic67—22no—
1059Dic67—22no—
1060Dic67—22no—
1061Dic67—22no—
1062Dic67—22no—
1063Dic67—22no—
1064Dic67—22no—
1065Dic67—22no—
1066C2×#3534—671nomaximal, Sylow
1067C2×C67—24no—
1068C2×C67—24no—
1069C2×C67—42no—
1070C2×C67—42no—
1071C2×C67—42no—
1072C2×C67—42no—
1073C2×C67—42no—
1074C2×C67—42no—
1075C2×C67#353414yescomplemented
1076C2×C67C22×H(5,𝔽2)11yescharacteristic
1077C2×C67C22×H(5,𝔽2)11yescharacteristic
1078C2×C67C2×#58511yescharacteristic
1079D67—42no—
1080D67—42no—
1081D67—42no—
1082#3534—6732no—
1083C2×#562—671no—
1084C2×#562—671no—
1085C2×#560—671no—
1086C2×#560—671no—
1087C2×#553—671no—
1088C2×#553—671no—
1089C2×#551—671no—
1090C2×#551—671no—
1091C2×#546—671no—
1092C2×#546—671no—
1093C2×#546—671no—
1094C2×#546—671no—
1095C2×#546—671no—
1096C2×#546—671no—
1097C2×D42—671no—
1098C2×D42D6711yescharacteristic, complemented
1099C2×#540—671no—
1100C2×#540—671no—
1101C2×#539—671no—
1102C2×#539—671no—
1103C2×#539—671no—
1104C2×#538—671no—
1105C2×#538—671no—
1106C2×#538—671no—
1107C2×#537—671no—
1108C2×#534—671no—
1109C2×#534—671no—
1110C2×#534—671no—
1111C2×#525—671no—
1112C22×#123—671no—
1113C22×#121—671no—
1114C67C2×#353411yescharacteristic, complemented, Sylow
1115C22×#41—671no—
1116C22×#41—671no—
1117C22×#41—671no—
1118C23×D4—671no—
1119C23×D4—671no—
1120C23×D4—671no—
1121C23×D4—671no—
1122C23×D4C2×D6711yescharacteristic
1123C23×D4C2×D6711yescharacteristic, complemented
1124C23×D4C2×D6711yescharacteristic, complemented
1125C23×D4C2×D6711yescharacteristic, complemented
1126C24×C4—671no—
1127#562—6716no—
1128#562—6716no—
1129#560—6716no—
1130#560—6716no—
1131#553—6716no—
1132#553—6716no—
1133#551—6716no—
1134#551—6716no—
1135#546—6716no—
1136#546—6716no—
1137#546—6716no—
1138#546—6716no—
1139#546—6716no—
1140#546—6716no—
1141D42—6716no—
1142D42C2×D67116yescomplemented
1143#540—6716no—
1144#540—6716no—
1145#539—6716no—
1146#539—6716no—
1147#539—6716no—
1148#538—6716no—
1149#538—6716no—
1150#538—6716no—
1151#537—6716no—
1152#534—6716no—
1153#534—6716no—
1154#534—6716no—
1155C2×#127—671no—
1156C2×#127C2×D6711yescharacteristic, complemented
1157C2×#126—671no—
1158C2×#126—671no—
1159C2×#126—671no—
1160C2×#126—671no—
1161C2×#126—671no—
1162C2×#126—671no—
1163C2×#126—671no—
1164C2×#126—671no—
1165C2×#125—671no—
1166C2×#125—671no—
1167C2×#125—671no—
1168C2×#125—671no—
1169C2×#124—671no—
1170C2×#124—671no—
1171C2×#124—671no—
1172C2×#124—671no—
1173C2×#124—671no—
1174C2×#124—671no—
1175#525—6716no—
1176C2×#123—671no—
1177C2×#123—671no—
1178C2×#123—671no—
1179C2×#123—671no—
1180C2×#123—671no—
1181C2×#123—671no—
1182C2×#123—671no—
1183C2×#123—671no—
1184C2×#123—6716no—
1185C2×#123—671no—
1186C2×#123—671no—
1187C2×#123—671no—
1188C2×#123—671no—
1189C2×#123—671no—
1190C2×#123—671no—
1191C2×#123—671no—
1192C2×#123—671no—
1193C2×#123—671no—
1194C2×#123—671no—
1195C2×#123—671no—
1196C2×#123—671no—
1197C2×#123—671no—
1198C2×#123—671no—
1199C2×#123—671no—
1200C2×#123—671no—
1201C2×#123—671no—
1202C2×#123—671no—
1203C2×#123—671no—
1204C2×#123—671no—
1205C2×C22⋊Q8—671no—
1206C2×C22⋊Q8—671no—
1207C2×C22⋊Q8—671no—
1208C2×C22⋊Q8—671no—
1209C2×C22⋊Q8—671no—
1210C2×C22⋊Q8—671no—
1211C2×C22⋊Q8—671no—
1212C2×C22⋊Q8—671no—
1213C2×C22⋊Q8—671no—
1214C2×C22⋊Q8—671no—
1215C2×C22⋊Q8—671no—
1216C2×C22⋊Q8—671no—
1217C2×#121—671no—
1218C2×#121—671no—
1219C2×#121—671no—
1220C2×#121—671no—
1221C2×#121—671no—
1222C2×#121—671no—
1223C2×#121—671no—
1224C2×#121—671no—
1225C2×#121—671no—
1226C2×#121—671no—
1227C2×#121—671no—
1228C2×#121—671no—
1229C2×#121—671no—
1230C2×#121—671no—
1231C2×#121—671no—
1232C2×#121—671no—
1233C2×#121—671no—
1234C2×#121—671no—
1235C2×#121—671no—
1236C2×#121—671no—
1237C2×#121—671no—
1238C2×#121—671no—
1239C2×#121—671no—
1240C2×#121—671no—
1241C2×#121—671no—
1242C2×#121—671no—
1243C2×#121—671no—
1244C2×#121—671no—
1245C2×#121—6716no—
1246C2×#121—671no—
1247C2×#121—671no—
1248C2×#121—671no—
1249C2×#121—671no—
1250C2×#121C2×D6711yescharacteristic
1251C2×#121C2×D6711yescharacteristic, complemented
1252C2×#121C2×D6711yescharacteristic, complemented
1253C2×#121C2×D6711yescharacteristic, complemented
1254C2×#120—671no—
1255C2×#120—671no—
1256C2×#120—671no—
1257C2×#120—671no—
1258C2×#120—671no—
1259C2×#120—671no—
1260C2×#120—671no—
1261C2×#120—671no—
1262C2×#120—671no—
1263C2×#120—671no—
1264C2×#120—671no—
1265C2×#120—671no—
1266C2×#120C2×D6711yescharacteristic
1267C2×#120C2×D6711yescharacteristic, complemented
1268C2×#120C2×D6711yescharacteristic, complemented
1269C2×#120C2×D6711yescharacteristic, complemented
1270C2×C4×D4—671no—
1271C2×C4×D4—671no—
1272C2×C4×D4—671no—
1273C2×C4×D4—671no—
1274C2×C4×D4—671no—
1275C2×C4×D4—671no—
1276C2×C4×D4—671no—
1277C2×C4×D4—671no—
1278C2×C4×D4—671no—
1279C2×C4×D4—671no—
1280C2×C4×D4—671no—
1281C2×C4×D4—671no—
1282C2×C4×D4—671no—
1283C2×C4×D4—671no—
1284C2×C4×D4C2×D6711yescharacteristic, complemented
1285C2×C4×D4C2×D6711yescharacteristic, complemented
1286C2×#117—671no—
1287C2×#117—671no—
1288C2×#117—671no—
1289C22×C4⋊C4—671no—
1290C22×C4⋊C4—671no—
1291C22×C4⋊C4—671no—
1292C22×C22⋊C4—671no—
1293C22×C22⋊C4—671no—
1294C22×C22⋊C4—671no—
1295C22×C22⋊C4—671no—
1296C22×C22⋊C4—671no—
1297C22×C22⋊C4—671no—
1298C22×C22⋊C4—671no—
1299C22×C22⋊C4—671no—
1300C22×C22⋊C4—671no—
1301C25—671no—
1302C25—671no—
1303C25C22×D6711yescharacteristic
1304C25C22×D6711yescharacteristic
1305C25C22×D6711yescharacteristic
1306C25C22×D6711yescharacteristic
1307C2×#41—2684no—
1308C2×#41—2684no—
1309C2×#41—2684no—
1310C2×#41—678no—
1311C2×#41—678no—
1312C2×#41—678no—
1313C22×Q8—671no—
1314C22×Q8—671no—
1315C22×Q8—671no—
1316C22×D4—44no—
1317C22×D4—44no—
1318C22×D4—44no—
1319C22×D4—44no—
1320C22×D4—2684no—
1321C22×D4—2684no—
1322C22×D4—2684no—
1323C22×D4—2684no—
1324C22×D4—671no—
1325C22×D4—671no—
1326C22×D4—671no—
1327C22×D4—671no—
1328C22×D4—671no—
1329C22×D4—671no—
1330C22×D4—671no—
1331C22×D4—671no—
1332C22×D4—671no—
1333C22×D4—671no—
1334C22×D4—671no—
1335C22×D4—671no—
1336C22×D4—671no—
1337C22×D4—671no—
1338C22×D4—671no—
1339C22×D4—671no—
1340C22×D4—678no—
1341C22×D4—678no—
1342C22×D4—678no—
1343C22×D4—678no—
1344C22×D4—671no—
1345C22×D4—671no—
1346C22×D4—671no—
1347C22×D4—671no—
1348C22×D4—671no—
1349C22×D4C22×D6711yescharacteristic
1350C22×D4C22×D6711yescharacteristic
1351C22×D4C22×D6711yescharacteristic
1352C22×D4C22×D6711yescharacteristic
1353C22×D4C22×D6711yescharacteristic
1354C22×D4C22×D6711yescharacteristic
1355C22×D4C22×D6711yescharacteristic
1356C22×D4C22×D6711yescharacteristic
1357C22×D4C22×D6711yescharacteristic
1358C22×D4C22×D6711yescharacteristic
1359C22×D4C22×D6711yescharacteristic
1360C22×D4C22×D6711yescharacteristic
1361C22×D4C22×D6711yescharacteristic
1362C22×D4C22×D6711yescharacteristic
1363C22×D4C22×D6711yescharacteristic
1364C22×D4C22×D6711yescharacteristic
1365C22×D4C22×D6718yes—
1366C22×D4C22×D6718yescomplemented
1367C22×D4C22×D6718yescomplemented
1368C22×D4C22×D6718yescomplemented
1369C23×C4—2684no—
1370C23×C4—671no—
1371C23×C4—671no—
1372C23×C4—671no—
1373C23×C4—671no—
1374C23×C4—671no—
1375C23×C4—671no—
1376C23×C4—671no—
1377C23×C4—671no—
1378C23×C4—671no—
1379C23×C4—671no—
1380C23×C4—671no—
1381C23×C4—678no—
1382C23×C4—671no—
1383C23×C4—671no—
1384C23×C4—671no—
1385C23×C4—671no—
1386C23×C4—671no—
1387C23×C4—671no—
1388C23×C4—671no—
1389C23×C4—671no—
1390C23×C4C22×D6711yescharacteristic
1391C23×C4C22×D6711yescharacteristic
1392C23×C4C22×D6711yescharacteristic
1393C23×C4C22×D6711yescharacteristic
1394#127—678no—
1395#127C22×D6718yescomplemented
1396#126—678no—
1397#126—678no—
1398#126—678no—
1399#126—678no—
1400#126—678no—
1401#126—678no—
1402#126—678no—
1403#126—678no—
1404#125—678no—
1405#125—678no—
1406#125—678no—
1407#125—678no—
1408#124—678no—
1409#124—678no—
1410#124—678no—
1411#124—678no—
1412#124—678no—
1413#124—678no—
1414#123—678no—
1415#123—678no—
1416#123—678no—
1417#123—678no—
1418#123—678no—
1419#123—678no—
1420#123—678no—
1421#123—678no—
1422#123—678no—
1423#123—678no—
1424#123—678no—
1425#123—678no—
1426#123—678no—
1427#123—678no—
1428#123—678no—
1429#123—678no—
1430#123—678no—
1431#123—678no—
1432#123—678no—
1433#123—678no—
1434#123—678no—
1435#123—678no—
1436#123—678no—
1437#123—678no—
1438#123—678no—
1439#123—678no—
1440#123—678no—
1441#123—678no—
1442C22⋊Q8—678no—
1443C22⋊Q8—678no—
1444C22⋊Q8—678no—
1445C22⋊Q8—678no—
1446C22⋊Q8—678no—
1447C22⋊Q8—678no—
1448C22⋊Q8—678no—
1449C22⋊Q8—678no—
1450C22⋊Q8—678no—
1451C22⋊Q8—678no—
1452C22⋊Q8—678no—
1453C22⋊Q8—678no—
1454#121—678no—
1455#121—678no—
1456#121—678no—
1457#121—678no—
1458#121—678no—
1459#121—678no—
1460#121—678no—
1461#121—678no—
1462#121—678no—
1463#121—678no—
1464#121—678no—
1465#121—678no—
1466#121—678no—
1467#121—678no—
1468#121—678no—
1469#121—678no—
1470#121—678no—
1471#121—678no—
1472#121—678no—
1473#121—678no—
1474#121—678no—
1475#121—678no—
1476#121—678no—
1477#121—678no—
1478#121—678no—
1479#121—678no—
1480#121—678no—
1481#121—678no—
1482#121—678no—
1483#121—678no—
1484#121—678no—
1485#121—678no—
1486#121C22×D6718yes—
1487#121C22×D6718yescomplemented
1488#121C22×D6718yescomplemented
1489#121C22×D6718yescomplemented
1490#120—678no—
1491#120—678no—
1492#120—678no—
1493#120—678no—
1494#120—678no—
1495#120—678no—
1496#120—678no—
1497#120—678no—
1498#120—678no—
1499#120—678no—
1500#120—678no—
1501#120—678no—
1502#120C22×D6718yes—
1503#120C22×D6718yescomplemented
1504#120C22×D6718yescomplemented
1505#120C22×D6718yescomplemented
1506C4×D4—678no—
1507C4×D4—678no—
1508C4×D4—678no—
1509C4×D4—678no—
1510C4×D4—678no—
1511C4×D4—678no—
1512C4×D4—678no—
1513C4×D4—678no—
1514C4×D4—678no—
1515C4×D4—678no—
1516C4×D4—678no—
1517C4×D4—678no—
1518C4×D4—678no—
1519C4×D4—678no—
1520C4×D4C22×D6718yescomplemented
1521C4×D4C22×D6718yescomplemented
1522#117—678no—
1523#117—678no—
1524#117—678no—
1525C2×C4⋊C4—671no—
1526C2×C4⋊C4—671no—
1527C2×C4⋊C4—671no—
1528C2×C4⋊C4—671no—
1529C2×C4⋊C4—671no—
1530C2×C4⋊C4—671no—
1531C2×C4⋊C4—678no—
1532C2×C4⋊C4—671no—
1533C2×C4⋊C4—671no—
1534C2×C4⋊C4—671no—
1535C2×C4⋊C4—671no—
1536C2×C4⋊C4—671no—
1537C2×C4⋊C4—671no—
1538C2×C4⋊C4—678no—
1539C2×C4⋊C4—678no—
1540C2×C4⋊C4—671no—
1541C2×C4⋊C4—671no—
1542C2×C4⋊C4—671no—
1543C2×C4⋊C4—671no—
1544C2×C4⋊C4—671no—
1545C2×C4⋊C4—671no—
1546C2×C4⋊C4—671no—
1547C2×C4⋊C4—671no—
1548C2×C4⋊C4—671no—
1549C2×C4⋊C4—671no—
1550C2×C4⋊C4—671no—
1551C2×C4⋊C4—671no—
1552C2×C4⋊C4—671no—
1553C2×C4⋊C4—671no—
1554C2×C4⋊C4—671no—
1555C2×C4⋊C4—671no—
1556C2×C4⋊C4C22×D6711yescharacteristic
1557C2×C4⋊C4C22×D6711yescharacteristic
1558C2×C22⋊C4—671no—
1559C2×C22⋊C4—671no—
1560C2×C22⋊C4—671no—
1561C2×C22⋊C4—671no—
1562C2×C22⋊C4—671no—
1563C2×C22⋊C4—671no—
1564C2×C22⋊C4—671no—
1565C2×C22⋊C4—671no—
1566C2×C22⋊C4—671no—
1567C2×C22⋊C4—671no—
1568C2×C22⋊C4—671no—
1569C2×C22⋊C4—671no—
1570C2×C22⋊C4—671no—
1571C2×C22⋊C4—671no—
1572C2×C22⋊C4—671no—
1573C2×C22⋊C4—671no—
1574C2×C22⋊C4—671no—
1575C2×C22⋊C4—671no—
1576C2×C22⋊C4—671no—
1577C2×C22⋊C4—671no—
1578C2×C22⋊C4—671no—
1579C2×C22⋊C4—678no—
1580C2×C22⋊C4—678no—
1581C2×C22⋊C4—678no—
1582C2×C22⋊C4—678no—
1583C2×C22⋊C4—678no—
1584C2×C22⋊C4—678no—
1585C2×C22⋊C4—671no—
1586C2×C22⋊C4—671no—
1587C2×C22⋊C4—671no—
1588C2×C22⋊C4—671no—
1589C2×C22⋊C4—671no—
1590C2×C22⋊C4—671no—
1591C2×C22⋊C4—671no—
1592C2×C22⋊C4—671no—
1593C2×C22⋊C4—671no—
1594C2×C22⋊C4—671no—
1595C2×C22⋊C4—671no—
1596C2×C22⋊C4—671no—
1597C2×C22⋊C4—671no—
1598C2×C22⋊C4—671no—
1599C2×C22⋊C4—678no—
1600C2×C22⋊C4—671no—
1601C2×C22⋊C4—671no—
1602C2×C22⋊C4—671no—
1603C2×C22⋊C4—671no—
1604C2×C22⋊C4—671no—
1605C2×C22⋊C4—671no—
1606C2×C22⋊C4—671no—
1607C2×C22⋊C4—678no—
1608C2×C22⋊C4—678no—
1609C2×C22⋊C4C22×D6711yescharacteristic
1610C2×C22⋊C4C22×D6711yescharacteristic
1611C2×C22⋊C4C22×D6711yescharacteristic
1612C2×C22⋊C4C22×D6711yescharacteristic
1613C2×C22⋊C4C22×D6711yescharacteristic
1614C2×C22⋊C4C22×D6711yescharacteristic
1615C2×C22⋊C4C22×D6711yescharacteristic
1616C2×C22⋊C4C22×D6711yescharacteristic
1617C2×C42—671no—
1618C2×C42—671no—
1619C2×C42—671no—
1620C2×C42—671no—
1621C2×C42—671no—
1622C2×C42C22×D6711yescharacteristic
1623C24—24no—
1624C24—24no—
1625C24—24no—
1626C24—24no—
1627C24—42no—
1628C24—42no—
1629C24—42no—
1630C24—42no—
1631C24—42no—
1632C24—42no—
1633C24—42no—
1634C24—42no—
1635C24—2682no—
1636C24—2682no—
1637C24—2682no—
1638C24—2682no—
1639C24—2682no—
1640C24—674no—
1641C24—674no—
1642C24—671no—
1643C24—671no—
1644C24—671no—
1645C24—1344no—
1646C24C23×D6711yescharacteristic
1647C24C23×D6711yescharacteristic
1648C24C23×D6711yescharacteristic
1649C24C23×D6711yescharacteristic
1650C24C23×D6711yescharacteristic
1651C24C23×D6711yescharacteristic
1652C24C23×D6714yes—
1653C24C23×D6711yescharacteristic
1654C24C23×D6711yescharacteristic
1655C24C23×D6714yes—
1656C24C23×D6714yes—
1657C24C23×D6714yes—
1658#41—26816no—
1659#41—26816no—
1660#41—26816no—
1661C2×Q8—2682no—
1662C2×Q8—2682no—
1663C2×Q8—2682no—
1664C2×Q8—674no—
1665C2×Q8—674no—
1666C2×Q8—674no—
1667C2×D4—24no—
1668C2×D4—24no—
1669C2×D4—24no—
1670C2×D4—24no—
1671C2×D4—24no—
1672C2×D4—24no—
1673C2×D4—42no—
1674C2×D4—42no—
1675C2×D4—42no—
1676C2×D4—42no—
1677C2×D4—42no—
1678C2×D4—42no—
1679C2×D4—42no—
1680C2×D4—42no—
1681C2×D4—42no—
1682C2×D4—42no—
1683C2×D4—416no—
1684C2×D4—416no—
1685C2×D4—416no—
1686C2×D4—416no—
1687C2×D4—2682no—
1688C2×D4—26816no—
1689C2×D4—26816no—
1690C2×D4—26816no—
1691C2×D4—2682no—
1692C2×D4—2682no—
1693C2×D4—2682no—
1694C2×D4—2682no—
1695C2×D4—26816no—
1696C2×D4—2682no—
1697C2×D4—2682no—
1698C2×D4—2682no—
1699C2×D4—2682no—
1700C2×D4—2682no—
1701C2×D4—2682no—
1702C2×D4—2682no—
1703C2×D4—2682no—
1704C2×D4—2682no—
1705C2×D4—2682no—
1706C2×D4—2682no—
1707C2×D4—2682no—
1708C2×D4—674no—
1709C2×D4—674no—
1710C2×D4—674no—
1711C2×D4—674no—
1712C2×D4—674no—
1713C2×D4—674no—
1714C2×D4—674no—
1715C2×D4—674no—
1716C2×D4—674no—
1717C2×D4—674no—
1718C2×D4—674no—
1719C2×D4—674no—
1720C2×D4—674no—
1721C2×D4—674no—
1722C2×D4—674no—
1723C2×D4—674no—
1724C2×D4—674no—
1725C2×D4—674no—
1726C2×D4—674no—
1727C2×D4—674no—
1728C2×D4—674no—
1729C2×D4—1344no—
1730C2×D4—1344no—
1731C2×D4—1344no—
1732C2×D4—1344no—
1733C2×D4C23×D6714yes—
1734C2×D4C23×D6714yes—
1735C2×D4C23×D6714yes—
1736C2×D4C23×D6714yes—
1737C2×D4C23×D6714yes—
1738C2×D4C23×D6714yes—
1739C2×D4C23×D6714yes—
1740C2×D4C23×D6714yes—
1741C2×D4C23×D6714yes—
1742C2×D4C23×D6714yes—
1743C2×D4C23×D6714yes—
1744C2×D4C23×D6714yes—
1745C2×D4C23×D6714yes—
1746C2×D4C23×D6714yes—
1747C2×D4C23×D6714yes—
1748C2×D4C23×D6714yes—
1749C22×C4—42no—
1750C22×C4—42no—
1751C22×C4—42no—
1752C22×C4—42no—
1753C22×C4—2682no—
1754C22×C4—2682no—
1755C22×C4—2682no—
1756C22×C4—2682no—
1757C22×C4—2682no—
1758C22×C4—2682no—
1759C22×C4—2682no—
1760C22×C4—2682no—
1761C22×C4—2682no—
1762C22×C4—26816no—
1763C22×C4—2682no—
1764C22×C4—2682no—
1765C22×C4—2682no—
1766C22×C4—2682no—
1767C22×C4—2682no—
1768C22×C4—2682no—
1769C22×C4—2682no—
1770C22×C4—674no—
1771C22×C4—674no—
1772C22×C4—674no—
1773C22×C4—674no—
1774C22×C4—674no—
1775C22×C4—674no—
1776C22×C4—674no—
1777C22×C4—674no—
1778C22×C4—674no—
1779C22×C4—674no—
1780C22×C4—674no—
1781C22×C4—674no—
1782C22×C4—674no—
1783C22×C4—674no—
1784C22×C4—674no—
1785C22×C4—674no—
1786C22×C4—674no—
1787C22×C4—674no—
1788C22×C4—674no—
1789C22×C4—671no—
1790C22×C4—671no—
1791C22×C4—671no—
1792C22×C4—671no—
1793C22×C4—671no—
1794C22×C4—671no—
1795C22×C4—671no—
1796C22×C4—671no—
1797C22×C4—671no—
1798C22×C4—671no—
1799C22×C4—671no—
1800C22×C4—671no—
1801C22×C4—671no—
1802C22×C4—1344no—
1803C22×C4—1344no—
1804C22×C4—1344no—
1805C22×C4C23×D6711yescharacteristic
1806C22×C4C23×D6711yescharacteristic
1807C22×C4C23×D6711yescharacteristic
1808C22×C4C23×D6711yescharacteristic
1809C22×C4C23×D6711yescharacteristic
1810C22×C4C23×D6711yescharacteristic
1811C22×C4C23×D6711yescharacteristic
1812C22×C4C23×D6714yes—
1813C22×C4C23×D6714yes—
1814C22×C4C23×D6714yes—
1815C22×C4C23×D6714yes—
1816C4⋊C4—674no—
1817C4⋊C4—674no—
1818C4⋊C4—674no—
1819C4⋊C4—674no—
1820C4⋊C4—674no—
1821C4⋊C4—674no—
1822C4⋊C4—674no—
1823C4⋊C4—674no—
1824C4⋊C4—674no—
1825C4⋊C4—674no—
1826C4⋊C4—674no—
1827C4⋊C4—674no—
1828C4⋊C4—674no—
1829C4⋊C4—674no—
1830C4⋊C4—674no—
1831C4⋊C4—674no—
1832C4⋊C4—674no—
1833C4⋊C4—674no—
1834C4⋊C4—674no—
1835C4⋊C4—674no—
1836C4⋊C4—674no—
1837C4⋊C4—674no—
1838C4⋊C4—674no—
1839C4⋊C4—674no—
1840C4⋊C4—674no—
1841C4⋊C4—674no—
1842C4⋊C4—674no—
1843C4⋊C4—674no—
1844C4⋊C4C23×D6714yes—
1845C4⋊C4C23×D6714yes—
1846C22⋊C4—674no—
1847C22⋊C4—674no—
1848C22⋊C4—674no—
1849C22⋊C4—674no—
1850C22⋊C4—674no—
1851C22⋊C4—674no—
1852C22⋊C4—674no—
1853C22⋊C4—674no—
1854C22⋊C4—674no—
1855C22⋊C4—674no—
1856C22⋊C4—674no—
1857C22⋊C4—674no—
1858C22⋊C4—674no—
1859C22⋊C4—674no—
1860C22⋊C4—674no—
1861C22⋊C4—674no—
1862C22⋊C4—674no—
1863C22⋊C4—674no—
1864C22⋊C4—674no—
1865C22⋊C4—674no—
1866C22⋊C4—674no—
1867C22⋊C4—674no—
1868C22⋊C4—674no—
1869C22⋊C4—674no—
1870C22⋊C4—674no—
1871C22⋊C4—674no—
1872C22⋊C4—674no—
1873C22⋊C4—674no—
1874C22⋊C4—674no—
1875C22⋊C4—674no—
1876C22⋊C4—674no—
1877C22⋊C4—674no—
1878C22⋊C4—674no—
1879C22⋊C4—674no—
1880C22⋊C4—674no—
1881C22⋊C4—674no—
1882C22⋊C4—674no—
1883C22⋊C4—674no—
1884C22⋊C4—674no—
1885C22⋊C4—674no—
1886C22⋊C4—674no—
1887C22⋊C4—674no—
1888C22⋊C4C23×D6714yes—
1889C22⋊C4C23×D6714yes—
1890C22⋊C4C23×D6714yes—
1891C22⋊C4C23×D6714yes—
1892C22⋊C4C23×D6714yes—
1893C22⋊C4C23×D6714yes—
1894C22⋊C4C23×D6714yes—
1895C22⋊C4C23×D6714yes—
1896C42—674no—
1897C42—674no—
1898C42—674no—
1899C42—674no—
1900C42—674no—
1901C42C23×D6714yes—
1902C23—22no—
1903C23—22no—
1904C23—22no—
1905C23—22no—
1906C23—22no—
1907C23—22no—
1908C23—28no—
1909C23—22no—
1910C23—22no—
1911C23—22no—
1912C23—22no—
1913C23—22no—
1914C23—22no—
1915C23—22no—
1916C23—22no—
1917C23—28no—
1918C23—22no—
1919C23—22no—
1920C23—22no—
1921C23—22no—
1922C23—22no—
1923C23—22no—
1924C23—22no—
1925C23—22no—
1926C23—28no—
1927C23—28no—
1928C23—44no—
1929C23—44no—
1930C23—44no—
1931C23—44no—
1932C23—44no—
1933C23—44no—
1934C23—44no—
1935C23—44no—
1936C23—416no—
1937C23—88no—
1938C23—88no—
1939C23—88no—
1940C23—2684no—
1941C23—2684no—
1942C23—2684no—
1943C23—2684no—
1944C23—2684no—
1945C23—5368no—
1946C23—5368no—
1947C23—672no—
1948C23—672no—
1949C23—672no—
1950C23—1342no—
1951C23—1342no—
1952C23—1342no—
1953C23—1342no—
1954C23—1342no—
1955C23—1342no—
1956C23—1342no—
1957C23—1342no—
1958C23—1342no—
1959C23—1348no—
1960C23#1452408814yes—
1961C23#1452408814yes—
1962C23C24×D6712yes—
1963C23C24×D6712yes—
1964C23C24×D6712yes—
1965C23C24×D6712yes—
1966C23C24×D6712yes—
1967C23C24×D6712yes—
1968C23C24×D6712yes—
1969C23C24×D6712yes—
1970C23C24×D6711yescharacteristic
1971Q8—2684no—
1972Q8—2684no—
1973Q8—2684no—
1974D4—28no—
1975D4—28no—
1976D4—28no—
1977D4—28no—
1978D4—28no—
1979D4—28no—
1980D4—44no—
1981D4—44no—
1982D4—44no—
1983D4—44no—
1984D4—44no—
1985D4—44no—
1986D4—44no—
1987D4—44no—
1988D4—44no—
1989D4—44no—
1990D4—2684no—
1991D4—2684no—
1992D4—2684no—
1993D4—2684no—
1994D4—2684no—
1995D4—2684no—
1996D4—2684no—
1997D4—2684no—
1998D4—2684no—
1999D4—2684no—
2000D4—2684no—
2001D4—2684no—
2002D4—2684no—
2003D4—2684no—
2004D4—2684no—
2005D4—2684no—
2006D4—2684no—
2007D4—1348no—
2008D4—1348no—
2009D4—1348no—
2010D4—1348no—
2011C2×C4—22no—
2012C2×C4—22no—
2013C2×C4—22no—
2014C2×C4—22no—
2015C2×C4—22no—
2016C2×C4—22no—
2017C2×C4—22no—
2018C2×C4—44no—
2019C2×C4—44no—
2020C2×C4—44no—
2021C2×C4—44no—
2022C2×C4—2684no—
2023C2×C4—2684no—
2024C2×C4—2684no—
2025C2×C4—2684no—
2026C2×C4—2684no—
2027C2×C4—2684no—
2028C2×C4—2684no—
2029C2×C4—2684no—
2030C2×C4—2684no—
2031C2×C4—2684no—
2032C2×C4—2684no—
2033C2×C4—2684no—
2034C2×C4—2684no—
2035C2×C4—2684no—
2036C2×C4—2684no—
2037C2×C4—2684no—
2038C2×C4—672no—
2039C2×C4—672no—
2040C2×C4—672no—
2041C2×C4—672no—
2042C2×C4—672no—
2043C2×C4—672no—
2044C2×C4—672no—
2045C2×C4—672no—
2046C2×C4—672no—
2047C2×C4—672no—
2048C2×C4—672no—
2049C2×C4—672no—
2050C2×C4—672no—
2051C2×C4—1342no—
2052C2×C4—1348no—
2053C2×C4—1342no—
2054C2×C4—1342no—
2055C2×C4—1342no—
2056C2×C4—1342no—
2057C2×C4—1342no—
2058C2×C4—1348no—
2059C2×C4—1342no—
2060C2×C4—1342no—
2061C2×C4—1342no—
2062C2×C4—1342no—
2063C2×C4—1348no—
2064C2×C4—1342no—
2065C2×C4—1342no—
2066C2×C4—1342no—
2067C2×C4C24×D6712yes—
2068C2×C4C24×D6712yes—
2069C2×C4C24×D6712yes—
2070C2×C4C24×D6712yes—
2071C2×C4C24×D6712yes—
2072C2×C4C24×D6712yes—
2073C2×C4C24×D6712yes—
2074C22—28no—
2075C22—28no—
2076C22—22no—
2077C22—22no—
2078C22—22no—
2079C22—22no—
2080C22—22no—
2081C22—22no—
2082C22—22no—
2083C22—22no—
2084C22—22no—
2085C22—22no—
2086C22—22no—
2087C22—22no—
2088C22—22no—
2089C22—22no—
2090C22—22no—
2091C22—22no—
2092C22—22no—
2093C22—22no—
2094C22—22no—
2095C22—22no—
2096C22—22no—
2097C22—22no—
2098C22—416no—
2099C22—44no—
2100C22—44no—
2101C22—44no—
2102C22—44no—
2103C22—44no—
2104C22—44no—
2105C22—88no—
2106C22—88no—
2107C22—88no—
2108C22—2684no—
2109C22—2684no—
2110C22—2684no—
2111C22—5368no—
2112C22—5368no—
2113C22—1342no—
2114C22—1342no—
2115C22—1342no—
2116C22—1342no—
2117C22—1342no—
2118C22—1342no—
2119C22—1342no—
2120C22—1342no—
2121C22—1342no—
2122C22C2×#1452408814yes—
2123C22C2×#1452408814yes—
2124C22C2×#1452408812yes—
2125C22C2×#1452408812yes—
2126C22#1686423112yes—
2127C22C25×D6711yescharacteristic
2128C4—22no—
2129C4—22no—
2130C4—22no—
2131C4—22no—
2132C4—22no—
2133C4—22no—
2134C4—22no—
2135C4—1342no—
2136C4—1342no—
2137C4—1342no—
2138C4—1342no—
2139C4—1342no—
2140C4—1342no—
2141C4—1342no—
2142C4—1342no—
2143C4—1342no—
2144C4—1342no—
2145C4—1342no—
2146C4—1342no—
2147C4—1342no—
2148C2—24no—
2149C2—24no—
2150C2—42no—
2151C2—42no—
2152C2—42no—
2153C2—42no—
2154C2—42no—
2155C2—42no—
2156C2—2682no—
2157C2—2682no—
2158C2—2682no—
2159C2#2257438714yesdirect product factor
2160C2C22×#1452408811yescharacteristic
2161C2C22×#1452408811yescharacteristic
2162C2C2×#1686423111yescharacteristic
subgroupG/H
centerC23C24×D67
commutator, cosocleC22×C67C26
FrattiniC22C25×D67
FittingC2×D42×C67C2
socleC23×C67C25
hypercenterC2×D42D67
hypocenterC67C2×#3534
LCSG ▷ C22×C67 ▷ C67
UCSC1 ◁ C23 ◁ C2×D42

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #22574387C2direct (N × H)
2. C2×#16864141C2semidirect
3. C2×#16864141C2semidirect
4. C2×#16864135C2semidirect
5. C2×#16864133C2semidirect
6. C2×#16864095C2semidirect
7. C2×#16864089C2semidirect
8. C2×#16864077C2semidirect
9. C2×#16864075C2semidirect
10. C2×#16864040C2semidirect
11. C2×#16864040C2semidirect
12. C2×#16864040C2semidirect
13. C2×#16864035C2semidirect
14. C2×#16864033C2semidirect
15. C2×#16864033C2semidirect
16. C2×D4×C22⋊D67C2semidirect
17. C2×#16864000C2semidirect
18. C2×#16863996C2semidirect
19. C2×#16863991C2semidirect
20. C2×#16863988C2semidirect
21. C2×#16863988C2semidirect
22. C2×#16863981C2semidirect
23. C2×#16863981C2semidirect
24. C2×#16863978C2semidirect
25. C2×#16863973C2semidirect
26. C2×#16863956C2semidirect
27. C2×#16863955C2semidirect
28. C2×#16863955C2semidirect
29. C2×#16863902C2semidirect
30. C22×#14524024C2semidirect
31. C22×#14524015C2semidirect
32. C2×D42×C67C2semidirect
33. C22×#11761627C22semidirect
34. C22×#11761627C22semidirect
35. C22×#11761627C22semidirect
36. C23×C22⋊D67C22semidirect
37. C23×C22⋊D67C22semidirect
38. C23×C22⋊D67C22semidirect
39. C22×D4×D67C22semidirect
40. C24×Dic67C22semidirect
41. #16864141C22semidirect
42. #16864141C22semidirect
43. #16864135C22semidirect
44. #16864133C22semidirect
45. #16864095C22semidirect
46. #16864089C22semidirect
47. #16864077C22semidirect
48. #16864075C22semidirect
49. #16864040C22semidirect
50. #16864040C22semidirect
51. #16864040C22semidirect
52. #16864035C22semidirect
53. #16864033C22semidirect
54. #16864033C22semidirect
55. D4×C22⋊D67C22semidirect
56. #16864000C22semidirect
57. #16863996C22semidirect
58. #16863991C22semidirect
59. #16863988C22semidirect
60. #16863988C22semidirect
61. #16863981C22semidirect
62. #16863981C22semidirect
63. #16863978C22semidirect
64. #16863973C22semidirect
65. #16863956C22semidirect
66. #16863955C22semidirect
67. #16863955C22semidirect
68. C2×#14524039C22semidirect
69. C2×#14524038C22semidirect
70. C2×#14524037C22semidirect
71. C2×#14524037C22semidirect
72. C2×#14524036C22semidirect
73. C2×#14524036C22semidirect
74. C2×#14524036C22semidirect
75. C2×#14524036C22semidirect
76. C2×#14524036C22semidirect
77. C2×#14524035C22semidirect
78. C2×#14524033C22semidirect
79. C2×#14524033C22semidirect
80. C2×#14524033C22semidirect
81. C2×#14524030C22semidirect
82. C2×#14524030C22semidirect
83. C2×#14524030C22semidirect
84. C2×#14524029C22semidirect
85. C2×#14524029C22semidirect
86. C2×#14524029C22semidirect
87. #16863902C22semidirect
88. C2×#14524028C22semidirect
89. C2×#14524027C22semidirect
90. C2×#14524027C22semidirect
91. C2×#14524026C22semidirect
92. C2×#14524026C22semidirect
93. C2×#14524026C22semidirect
94. C2×#14524026C22semidirect
95. C2×#14524025C22semidirect
96. C2×#14524025C22semidirect
97. C2×#14524025C22semidirect
98. C2×#14524025C22semidirect
99. C2×#14524025C22semidirect
100. C2×#14524024C22semidirect
101. C2×#14524024C22semidirect
102. C2×#14524024C22semidirect
103. C2×#14524024C22semidirect
104. C2×#14524024C22semidirect
105. C2×#14524024C22semidirect
106. C2×#14524024C22semidirect
107. C2×#14524024C22semidirect
108. C2×#14524024C22semidirect
109. C2×#14524024C22semidirect
110. C2×#14524024C22semidirect
111. C2×#14524024C22semidirect
112. C2×#14524024C22semidirect
113. C2×#14524024C22semidirect
114. C2×#14524024C22semidirect
115. C2×#14524024C22semidirect
116. C2×#14524024C22semidirect
117. C2×#14524022C22semidirect
118. C2×#14524022C22semidirect
119. C2×#14524022C22semidirect
120. C2×#14524021C22semidirect
121. C2×#14524021C22semidirect
122. C2×#14524021C22semidirect
123. C2×#14524020C22semidirect
124. C2×#14524020C22semidirect
125. C2×#14524020C22semidirect
126. C2×#14524020C22semidirect
127. C2×#14524020C22semidirect
128. C2×#14524020C22semidirect
129. C2×#14524017C22semidirect
130. C2×#14524016C22semidirect
131. C2×#14524016C22semidirect
132. C2×#14524016C22semidirect
135. C2×#14524015C22semidirect
136. C2×#14524015C22semidirect
137. C2×#14524015C22semidirect
138. C2×#14524015C22semidirect
139. C2×#14524015C22semidirect
140. C2×#14524015C22semidirect
141. C2×#14524015C22semidirect
142. C2×#14524015C22semidirect
143. C2×#14524015C22semidirect
144. C2×#14524015C22semidirect
145. C2×#14524015C22semidirect
146. C2×#14524015C22semidirect
147. C2×#14524015C22semidirect
148. C2×#14524015C22semidirect
149. C2×#14524015C22semidirect
150. C2×#14524015C22semidirect
151. C2×#14524015C22semidirect
152. C2×#14524015C22semidirect
153. C2×#14524015C22semidirect
154. C2×#14524015C22semidirect
155. C2×#14524015C22semidirect
156. C2×#14524014C22semidirect
157. C2×#14524014C22semidirect
158. C2×#14524014C22semidirect
159. C2×#14524014C22semidirect
160. C2×#14524014C22semidirect
161. C2×#14524014C22semidirect
162. C2×#14524012C22semidirect
163. C2×#14524012C22semidirect
164. C2×#14524012C22semidirect
165. C2×#14524012C22semidirect
166. C2×#14524012C22semidirect
167. C2×#14524012C22semidirect
169. C2×#14524011C22semidirect
170. C2×#14524011C22semidirect
171. C2×#14524011C22semidirect
172. C2×#14524011C22semidirect
173. C2×#14524011C22semidirect
174. C2×D4×Dic67C22semidirect
175. C2×D4×Dic67C22semidirect
176. C2×D4×Dic67C22semidirect
177. C2×D4×Dic67C22semidirect
178. C2×D4×Dic67C22semidirect
179. C2×D4×Dic67C22semidirect
180. C2×C4×C22⋊D67C22semidirect
181. C2×C4×C22⋊D67C22semidirect
182. C2×C4×C22⋊D67C22semidirect
183. C2×C4×C22⋊D67C22semidirect
184. C2×(C22⋊D67)⋊C4C22semidirect
185. C2×(C22⋊D67)⋊C4C22semidirect
186. C2×(C22⋊D67)⋊C4C22semidirect
187. C2×(C22⋊D67)⋊C4C22semidirect
188. C2×#14524000C22semidirect
189. C2×#14523999C22semidirect
190. C2×#14523999C22semidirect
191. C22×Dic67⋊C4C22semidirect
192. C22×Dic67⋊C4C22semidirect
193. C22×Dic67⋊C4C22semidirect
194. C22×C22⋊Dic67C22semidirect
195. C22×C22⋊Dic67C22semidirect
196. C22×C22⋊Dic67C22semidirect
197. C22×C22⋊Dic67C22semidirect
198. C22×C22⋊Dic67C22semidirect
199. C22×C22⋊Dic67C22semidirect
200. C22×(C2×D67)⋊C4C22semidirect
201. C2×C22⋊C4×D67C22semidirect
202. C2×C22⋊C4×D67C22semidirect
204. C23×D4×C67C22semidirect
205. C23×D4×C67C22semidirect
206. C23×D4×C67C22semidirect
207. D42×C67C22semidirect
208. C2×#127×C67C22semidirect
210. C2×#121×C67C22semidirect
211. C2×#121×C67C22semidirect
212. C2×#121×C67C22semidirect
214. C2×#120×C67C22semidirect
215. C2×#120×C67C22semidirect
216. C2×#120×C67C22semidirect
217. C2×C4×D4×C67C22semidirect
218. C2×C4×D4×C67C22semidirect
224. C2×#11761627C23semidirect
225. C2×#11761627C23semidirect
226. C2×#11761627C23semidirect
254. C22×C22⋊D67C23semidirect
255. C22×C22⋊D67C23semidirect
256. C22×C22⋊D67C23semidirect
258. C2×D4×D67C23semidirect
274. C23×Dic67C23semidirect
280. #14524039C23semidirect
281. #14524038C23semidirect
282. #14524037C23semidirect
283. #14524037C23semidirect
284. #14524036C23semidirect
285. #14524036C23semidirect
286. #14524036C23semidirect
287. #14524036C23semidirect
288. #14524036C23semidirect
289. #14524035C23semidirect
290. #14524033C23semidirect
291. #14524033C23semidirect
292. #14524033C23semidirect
293. #14524030C23semidirect
294. #14524030C23semidirect
295. #14524030C23semidirect
296. #14524029C23semidirect
297. #14524029C23semidirect
298. #14524029C23semidirect
299. #14524028C23semidirect
300. #14524027C23semidirect
301. #14524027C23semidirect
302. #14524026C23semidirect
303. #14524026C23semidirect
304. #14524026C23semidirect
305. #14524026C23semidirect
306. #14524025C23semidirect
307. #14524025C23semidirect
308. #14524025C23semidirect
309. #14524025C23semidirect
310. #14524025C23semidirect
311. #14524024C23semidirect
312. #14524024C23semidirect
313. #14524024C23semidirect
314. #14524024C23semidirect
315. #14524024C23semidirect
316. #14524024C23semidirect
317. #14524024C23semidirect
318. #14524024C23semidirect
319. #14524024C23semidirect
320. #14524024C23semidirect
321. #14524024C23semidirect
322. #14524024C23semidirect
323. #14524024C23semidirect
324. #14524024C23semidirect
325. #14524024C23semidirect
326. #14524024C23semidirect
327. #14524022C23semidirect
328. #14524022C23semidirect
329. #14524022C23semidirect
330. #14524021C23semidirect
331. #14524021C23semidirect
332. #14524021C23semidirect
333. #14524020C23semidirect
334. #14524020C23semidirect
335. #14524020C23semidirect
336. #14524020C23semidirect
337. #14524020C23semidirect
338. #14524020C23semidirect
339. #14524017C23semidirect
340. #14524016C23semidirect
341. #14524016C23semidirect
342. #14524016C23semidirect
345. #14524015C23semidirect
346. #14524015C23semidirect
347. #14524015C23semidirect
348. #14524015C23semidirect
349. #14524015C23semidirect
350. #14524015C23semidirect
351. #14524015C23semidirect
352. #14524015C23semidirect
353. #14524015C23semidirect
354. #14524015C23semidirect
355. #14524015C23semidirect
356. #14524015C23semidirect
357. #14524015C23semidirect
358. #14524015C23semidirect
359. #14524015C23semidirect
360. #14524015C23semidirect
361. #14524015C23semidirect
362. #14524015C23semidirect
363. #14524015C23semidirect
364. #14524015C23semidirect
365. #14524014C23semidirect
366. #14524014C23semidirect
367. #14524014C23semidirect
368. #14524014C23semidirect
369. #14524014C23semidirect
370. #14524014C23semidirect
371. #14524012C23semidirect
372. #14524012C23semidirect
373. #14524012C23semidirect
374. #14524012C23semidirect
375. #14524012C23semidirect
376. #14524012C23semidirect
378. #14524011C23semidirect
379. #14524011C23semidirect
380. #14524011C23semidirect
381. #14524011C23semidirect
382. #14524011C23semidirect
383. D4×Dic67C23semidirect
384. D4×Dic67C23semidirect
385. D4×Dic67C23semidirect
386. D4×Dic67C23semidirect
387. D4×Dic67C23semidirect
388. D4×Dic67C23semidirect
389. C4×C22⋊D67C23semidirect
390. C4×C22⋊D67C23semidirect
391. C4×C22⋊D67C23semidirect
392. C4×C22⋊D67C23semidirect
393. (C22⋊D67)⋊C4C23semidirect
394. (C22⋊D67)⋊C4C23semidirect
395. (C22⋊D67)⋊C4C23semidirect
396. (C22⋊D67)⋊C4C23semidirect
397. #14524000C23semidirect
398. #14523999C23semidirect
399. #14523999C23semidirect
428. C2×Dic67⋊C4C23semidirect
429. C2×Dic67⋊C4C23semidirect
430. C2×Dic67⋊C4C23semidirect
459. C2×C22⋊Dic67C23semidirect
460. C2×C22⋊Dic67C23semidirect
461. C2×C22⋊Dic67C23semidirect
462. C2×C22⋊Dic67C23semidirect
463. C2×C22⋊Dic67C23semidirect
464. C2×C22⋊Dic67C23semidirect
479. C2×(C2×D67)⋊C4C23semidirect
480. C22⋊C4×D67C23semidirect
481. C22⋊C4×D67C23semidirect
512. C22×D4×C67C23semidirect
513. C22×D4×C67C23semidirect
514. C22×D4×C67C23semidirect
519. #127×C67C23semidirect
521. #121×C67C23semidirect
522. #121×C67C23semidirect
523. #121×C67C23semidirect
525. #120×C67C23semidirect
526. #120×C67C23semidirect
527. #120×C67C23semidirect
528. C4×D4×C67C23semidirect
529. C4×D4×C67C23semidirect
1075. C2×C67#3534semidirect
1098. C2×D42D67semidirect
1114. C67C2×#3534semidirect
1123. C23×D4C2×D67semidirect
1124. C23×D4C2×D67semidirect
1125. C23×D4C2×D67semidirect
1142. D42C2×D67semidirect
1156. C2×#127C2×D67semidirect
1251. C2×#121C2×D67semidirect
1252. C2×#121C2×D67semidirect
1253. C2×#121C2×D67semidirect
1267. C2×#120C2×D67semidirect
1268. C2×#120C2×D67semidirect
1269. C2×#120C2×D67semidirect
1284. C2×C4×D4C2×D67semidirect
1285. C2×C4×D4C2×D67semidirect
1366. C22×D4C22×D67semidirect
1367. C22×D4C22×D67semidirect
1368. C22×D4C22×D67semidirect
1395. #127C22×D67semidirect
1487. #121C22×D67semidirect
1488. #121C22×D67semidirect
1489. #121C22×D67semidirect
1503. #120C22×D67semidirect
1504. #120C22×D67semidirect
1505. #120C22×D67semidirect
1520. C4×D4C22×D67semidirect
1521. C4×D4C22×D67semidirect
2159. C2#22574387direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#225743872
C2×#168641412
C2×#168641352
C2×#168641332
C2×#168640952
C2×#168640892
C2×#168640772
C2×#168640752
C2×#168640402
C2×#168640352
C2×#168640332
C2×D4×C22⋊D672
C2×#168640002
C2×#168639962
C2×#168639912
C2×#168639882
C2×#168639812
C2×#168639782
C2×#168639732
C2×#168639562
C2×#168639552
C2×#168639022
C22×#145240242
C22×#145240152
C2×D42×C672
C2×#353467