Finite Group Databasebeta

← C2×#22574406 #31763026

Subgroups — C2×#22574406 #31763026

Order 17152.

7302 conjugacy classes of subgroups.

The subgroup lattice has 1964 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22574406C2132yesmaximal, direct product factor
2C2×#16864149C211yesmaximal, characteristic, complemented
3C2×#16864146C211yesmaximal, characteristic, complemented
4C2×#16864141C211yesmaximal, characteristic, complemented
5C2×#16864141C211yesmaximal, characteristic, complemented
6C2×#16864105C211yesmaximal, characteristic, complemented
7C2×#16864100C211yesmaximal, characteristic, complemented
8C2×#16864086C211yesmaximal, characteristic, complemented
9C2×#16864083C211yesmaximal, characteristic, complemented
10C2×#16864077C211yesmaximal, characteristic, complemented
11C2×#16864077C211yesmaximal, characteristic, complemented
12C2×#16864072C211yesmaximal, characteristic, complemented
13C2×#16864072C211yesmaximal, characteristic, complemented
14C2×#16864046C211yesmaximal, characteristic, complemented
15C2×#16864045C211yesmaximal, characteristic, complemented
16C2×#16864040C211yesmaximal, characteristic, complemented
17C2×#16864025C211yesmaximal, characteristic, complemented
18C2×#16864022C211yesmaximal, characteristic, complemented
19C2×#16864013C211yesmaximal, characteristic, complemented
20C2×#16864010C211yesmaximal, characteristic, complemented
21C2×#16863991C211yesmaximal, characteristic, complemented
22C2×#16863991C211yesmaximal, characteristic, complemented
23C2×#16863989C211yesmaximal, characteristic, complemented
24C2×#16863988C211yesmaximal, characteristic, complemented
25C2×#16863988C211yesmaximal, characteristic, complemented
26C2×#16863981C211yesmaximal, characteristic, complemented
27C2×#16863968C211yesmaximal, characteristic, complemented
28C2×#16863967C211yesmaximal, characteristic, complemented
29C2×#16863902C211yesmaximal, characteristic, complemented
30C22×#14524024C211yesmaximal, characteristic, complemented
31C22×#14524020C211yesmaximal, characteristic, complemented
32C2×#546×C67C211yesmaximal, characteristic, complemented
33C22×#11761627C2211yescharacteristic
34C22×#11761627C2211yescharacteristic, complemented
35C23×Dic134C2211yescharacteristic, complemented
36C24×Dic67C2211yescharacteristic
37#16864149C22116yescomplemented
38#16864146C22116yescomplemented
39#16864141C22116yescomplemented
40#16864141C22116yescomplemented
41#16864105C22116yescomplemented
42#16864100C22116yescomplemented
43#16864086C22116yescomplemented
44#16864083C22116yescomplemented
45#16864077C22116yescomplemented
46#16864077C22116yescomplemented
47#16864072C22116yescomplemented
48#16864072C22116yescomplemented
49#16864046C22116yescomplemented
50#16864045C22116yescomplemented
51#16864040C22116yescomplemented
52#16864025C22116yescomplemented
53#16864022C22116yescomplemented
54#16864013C22116yescomplemented
55#16864010C22116yescomplemented
56#16863991C22116yescomplemented
57#16863991C22116yescomplemented
58#16863989C22116yescomplemented
59#16863988C22116yescomplemented
60#16863988C22116yescomplemented
61#16863981C22116yescomplemented
62#16863968C22116yescomplemented
63#16863967C22116yescomplemented
64C2×#14524042C2211yescharacteristic, complemented
65C2×#14524042C2211yescharacteristic, complemented
66C2×#14524042C2211yescharacteristic, complemented
67C2×#14524041C2211yescharacteristic, complemented
68C2×#14524041C2211yescharacteristic, complemented
69C2×#14524041C2211yescharacteristic, complemented
70C2×#14524037C2211yescharacteristic, complemented
71C2×#14524036C2211yescharacteristic, complemented
72C2×#14524036C2211yescharacteristic, complemented
73C2×#14524036C2211yescharacteristic, complemented
74C2×#14524036C2211yescharacteristic, complemented
75C2×#14524036C2211yescharacteristic, complemented
76C2×#14524036C2211yescharacteristic, complemented
77C2×#14524036C2211yescharacteristic, complemented
78C2×#14524036C2211yescharacteristic, complemented
79C2×#14524036C2211yescharacteristic, complemented
80C2×#14524036C2211yescharacteristic, complemented
81C2×#14524036C2211yescharacteristic, complemented
82C2×#14524035C2211yescharacteristic, complemented
83C2×#14524035C2211yescharacteristic, complemented
84C2×#14524034C2211yescharacteristic, complemented
85C2×#14524033C2211yescharacteristic, complemented
86C2×#14524033C2211yescharacteristic, complemented
87C2×#14524033C2211yescharacteristic, complemented
88C2×#14524033C2211yescharacteristic, complemented
89C2×#14524033C2211yescharacteristic, complemented
90C2×#14524033C2211yescharacteristic, complemented
91C2×#14524033C2211yescharacteristic, complemented
92C2×#14524030C2211yescharacteristic
93C2×#14524030C2211yescharacteristic, complemented
94C2×#14524030C2211yescharacteristic, complemented
95C2×#14524030C2211yescharacteristic, complemented
96C2×#14524029C2211yescharacteristic, complemented
97C2×#14524029C2211yescharacteristic, complemented
98C2×#14524029C2211yescharacteristic, complemented
99#16863902C22116yescomplemented
100C2×#14524027C2211yescharacteristic
101C2×#14524027C2211yescharacteristic, complemented
102C2×#14524026C2211yescharacteristic, complemented
103C2×#14524026C2211yescharacteristic, complemented
104C2×#14524026C2211yescharacteristic, complemented
105C2×#14524025C2211yescharacteristic, complemented
106C2×#14524025C2211yescharacteristic, complemented
107C2×#14524025C2211yescharacteristic, complemented
108C2×#14524025C2211yescharacteristic, complemented
109C2×#14524024C2211yescharacteristic
110C2×#14524024C2211yescharacteristic
111C2×#14524024C2211yescharacteristic
112C2×#14524024C2211yescharacteristic
113C2×#14524024C2211yescharacteristic
114C2×#14524024C2211yescharacteristic
115C2×#14524024C2211yescharacteristic
116C2×#14524024C2211yescharacteristic
117C2×#14524024C2211yescharacteristic
118C2×#14524024C2211yescharacteristic
119C2×#14524024C2211yescharacteristic
120C2×#14524024C22116yescomplemented
121C2×#14524024C2211yescharacteristic, complemented
122C2×#14524024C2211yescharacteristic, complemented
123C2×#14524024C2211yescharacteristic, complemented
124C2×#14524024C2211yescharacteristic, complemented
125C2×#14524024C2211yescharacteristic, complemented
126C2×#14524024C2211yescharacteristic, complemented
127C2×#14524022C2211yescharacteristic
128C2×#14524022C2211yescharacteristic, complemented
129C2×#14524022C2211yescharacteristic, complemented
130C2×#14524022C2211yescharacteristic, complemented
131C2×#14524022C2211yescharacteristic, complemented
132C2×#14524022C2211yescharacteristic, complemented
133C2×#14524022C2211yescharacteristic, complemented
134C2×#14524022C2211yescharacteristic, complemented
135C2×#14524022C2211yescharacteristic, complemented
136C2×#14524021C2211yescharacteristic, complemented
137C2×#14524021C2211yescharacteristic, complemented
138C2×#14524021C2211yescharacteristic, complemented
139C2×#14524020C2211yescharacteristic
140C2×#14524020C2211yescharacteristic
141C2×#14524020C2211yescharacteristic
142C2×#14524020C2211yescharacteristic
143C2×#14524020C2211yescharacteristic
144C2×#14524020C2211yescharacteristic
145C2×#14524020C2211yescharacteristic
146C2×#14524020C2211yescharacteristic, complemented
147C2×#14524020C2211yescharacteristic, complemented
148C2×#14524020C2211yescharacteristic, complemented
149C2×#14524020C2211yescharacteristic, complemented
150C2×#14524020C2211yescharacteristic, complemented
151C2×#14524020C2211yescharacteristic, complemented
152C2×#14524020C2211yescharacteristic, complemented
153C2×#14524020C2211yescharacteristic, complemented
154C2×#14524020C2211yescharacteristic, complemented
155C2×#14524020C2211yescharacteristic, complemented
156C2×#14524020C2211yescharacteristic, complemented
157C2×#14524020C2211yescharacteristic, complemented
158C2×#14524020C2211yescharacteristic, complemented
159C2×#14524020C22116yescomplemented
160C2×#14524019C2211yescharacteristic, complemented
161C2×#14524015C2211yescharacteristic
162C2×#14524015C2211yescharacteristic
163C2×#14524015C2211yescharacteristic
164C2×#14524015C2211yescharacteristic, complemented
165C2×#14524015C2211yescharacteristic, complemented
166C2×#14524014C2211yescharacteristic
167C2×#14524014C2211yescharacteristic, complemented
168C2×#14524012C2211yescharacteristic
169C2×#14524012C2211yescharacteristic
170C2×C4×Dic134C2211yescharacteristic, complemented
171C2×#14524008C2211yescharacteristic, complemented
172C2×D4×Dic67C2211yescharacteristic
173C2×D4×Dic67C2211yescharacteristic
174C2×D4×Dic67C2211yescharacteristic
175C2×D4×Dic67C2211yescharacteristic, complemented
176C2×D4×Dic67C2211yescharacteristic, complemented
177C2×D4×Dic67C2211yescharacteristic, complemented
178C2×C4×C22⋊D67C2211yescharacteristic
179C2×C4×C22⋊D67C2211yescharacteristic, complemented
180C2×C4×C22⋊D67C2211yescharacteristic, complemented
181C2×(C22⋊D67)⋊C4C2211yescharacteristic
182C2×(C22⋊D67)⋊C4C2211yescharacteristic
183C2×(C22⋊D67)⋊C4C2211yescharacteristic, complemented
184C2×#14524002C2211yescharacteristic, complemented
185C2×#14524002C2211yescharacteristic, complemented
186C2×#14523999C2211yescharacteristic
187C2×#14523999C2211yescharacteristic
188C2×#14523999C2211yescharacteristic, complemented
189C2×#14523999C2211yescharacteristic, complemented
190C2×#14523999C2211yescharacteristic, complemented
191C22×C4⋊Dic67C2211yescharacteristic, complemented
192C22×Dic67⋊C4C2211yescharacteristic
193C22×Dic67⋊C4C2211yescharacteristic
194C22×Dic67⋊C4C2211yescharacteristic, complemented
195C22×Dic67⋊C4C2211yescharacteristic, complemented
196C22×Dic67⋊C4C2211yescharacteristic, complemented
197C2×C4⋊C4×D67C2211yescharacteristic, complemented
198C22×C22⋊Dic67C2211yescharacteristic
199C22×C22⋊Dic67C2211yescharacteristic
200C22×C22⋊Dic67C2211yescharacteristic
201C22×C22⋊Dic67C2211yescharacteristic
202C22×C22⋊Dic67C2211yescharacteristic
203C22×#41×C67C2211yescharacteristic
204C23×D4×C67C2211yescharacteristic
205#546×C67C22116yescomplemented
206C2×#124×C67C2211yescharacteristic
207C2×#123×C67C2211yescharacteristic
208C2×#123×C67C2211yescharacteristic
209C2×C22⋊Q8×C67C2211yescharacteristic
210C2×#121×C67C2211yescharacteristic
211C2×#121×C67C2211yescharacteristic
212C2×#121×C67C2211yescharacteristic
213C2×#120×C67C2211yescharacteristic
214C2×#120×C67C2211yescharacteristic
215C2×C4×D4×C67C2211yescharacteristic
216C2×C4×D4×C67C2211yescharacteristic
217C22×C22⋊C4×C67C2211yescharacteristic
218C22×C22⋊C4×C67C2211yescharacteristic
219C2×#11761627—44no—
220C2×#11761627—44no—
221C2×#11761627C2318yes—
222C2×#11761627C2318yescomplemented
223C22×Dic134—44no—
224C22×Dic134C2311yescharacteristic
225C22×Dic134C2311yescharacteristic
226C22×Dic134C2311yescharacteristic
227C22×Dic134C2311yescharacteristic
228C22×Dic134C2311yescharacteristic
229C22×Dic134C2311yescharacteristic
230C22×Dic134C2311yescharacteristic
231C22×Dic134C2311yescharacteristic
232C22×Dic134C2318yescomplemented
233C22×C22⋊D67C2311yescharacteristic
234C22×C22⋊D67C2311yescharacteristic
235C22×C22⋊D67C2311yescharacteristic
236C22×C22⋊D67C2311yescharacteristic
237C22×C22⋊D67C2311yescharacteristic
238C22×C22⋊D67C2311yescharacteristic
239C23×Dic67—44no—
240C23×Dic67C2311yescharacteristic
241C23×Dic67C2311yescharacteristic
242C23×Dic67C2311yescharacteristic
243C23×Dic67C2311yescharacteristic
244C23×Dic67C2311yescharacteristic
245C23×Dic67C2311yescharacteristic
246C23×Dic67C2311yescharacteristic
247C23×Dic67C2311yescharacteristic
248C23×Dic67C2311yescharacteristic
249C23×Dic67C2311yescharacteristic
250C23×Dic67C2311yescharacteristic
251C23×Dic67C2311yescharacteristic
252C23×Dic67C2311yescharacteristic
253C23×Dic67C2311yescharacteristic
254C23×Dic67C2318yes—
255C22×C4×D67C2311yescharacteristic
256C22×C4×D67C2311yescharacteristic
257C22×C4×D67C2311yescharacteristic
258#14524042C2318yescomplemented
259#14524042C2318yescomplemented
260#14524042C2318yescomplemented
261#14524041C2318yescomplemented
262#14524041C2318yescomplemented
263#14524041C2318yescomplemented
264#14524037C2318yescomplemented
265#14524036C2318yescomplemented
266#14524036C2318yescomplemented
267#14524036C2318yescomplemented
268#14524036C2318yescomplemented
269#14524036C2318yescomplemented
270#14524036C2318yescomplemented
271#14524036C2318yescomplemented
272#14524036C2318yescomplemented
273#14524036C2318yescomplemented
274#14524036C2318yescomplemented
275#14524036C2318yescomplemented
276#14524035C2318yescomplemented
277#14524035C2318yescomplemented
278#14524034C2318yescomplemented
279#14524033C2318yescomplemented
280#14524033C2318yescomplemented
281#14524033C2318yescomplemented
282#14524033C2318yescomplemented
283#14524033C2318yescomplemented
284#14524033C2318yescomplemented
285#14524033C2318yescomplemented
286#14524030C2318yes—
287#14524030C2318yescomplemented
288#14524030C2318yescomplemented
289#14524030C2318yescomplemented
290#14524029C2318yescomplemented
291#14524029C2318yescomplemented
292#14524029C2318yescomplemented
293#14524027C2318yes—
294#14524027C2318yescomplemented
295#14524026C2318yescomplemented
296#14524026C2318yescomplemented
297#14524026C2318yescomplemented
298#14524025C2318yescomplemented
299#14524025C2318yescomplemented
300#14524025C2318yescomplemented
301#14524025C2318yescomplemented
302#14524024C2318yes—
303#14524024C2318yes—
304#14524024C2318yes—
305#14524024C2318yes—
306#14524024C2318yes—
307#14524024C2318yes—
308#14524024C2318yes—
309#14524024C2318yes—
310#14524024C2318yes—
311#14524024C2318yes—
312#14524024C2318yes—
313#14524024C2318yescomplemented
314#14524024C2318yescomplemented
315#14524024C2318yescomplemented
316#14524024C2318yescomplemented
317#14524024C2318yescomplemented
318#14524024C2318yescomplemented
319#14524022C2318yes—
320#14524022C2318yescomplemented
321#14524022C2318yescomplemented
322#14524022C2318yescomplemented
323#14524022C2318yescomplemented
324#14524022C2318yescomplemented
325#14524022C2318yescomplemented
326#14524022C2318yescomplemented
327#14524022C2318yescomplemented
328#14524021C2318yescomplemented
329#14524021C2318yescomplemented
330#14524021C2318yescomplemented
331#14524020C2318yes—
332#14524020C2318yes—
333#14524020C2318yes—
334#14524020C2318yes—
335#14524020C2318yes—
336#14524020C2318yes—
337#14524020C2318yes—
338#14524020C2318yescomplemented
339#14524020C2318yescomplemented
340#14524020C2318yescomplemented
341#14524020C2318yescomplemented
342#14524020C2318yescomplemented
343#14524020C2318yescomplemented
344#14524020C2318yescomplemented
345#14524020C2318yescomplemented
346#14524020C2318yescomplemented
347#14524020C2318yescomplemented
348#14524020C2318yescomplemented
349#14524020C2318yescomplemented
350#14524020C2318yescomplemented
351#14524019C2318yescomplemented
352#14524015C2318yes—
353#14524015C2318yes—
354#14524015C2318yes—
355#14524015C2318yescomplemented
356#14524015C2318yescomplemented
357#14524014C2318yes—
358#14524014C2318yescomplemented
359#14524012C2318yes—
360#14524012C2318yes—
361C4×Dic134C2318yescomplemented
362#14524008C2318yescomplemented
363D4×Dic67C2318yes—
364D4×Dic67C2318yes—
365D4×Dic67C2318yes—
366D4×Dic67C2318yescomplemented
367D4×Dic67C2318yescomplemented
368D4×Dic67C2318yescomplemented
369C4×C22⋊D67C2318yes—
370C4×C22⋊D67C2318yescomplemented
371C4×C22⋊D67C2318yescomplemented
372(C22⋊D67)⋊C4C2318yes—
373(C22⋊D67)⋊C4C2318yes—
374(C22⋊D67)⋊C4C2318yescomplemented
375#14524002C2318yescomplemented
376#14524002C2318yescomplemented
377#14523999C2318yes—
378#14523999C2318yes—
379#14523999C2318yescomplemented
380#14523999C2318yescomplemented
381#14523999C2318yescomplemented
382C2×C4⋊Dic67C2311yescharacteristic
383C2×C4⋊Dic67C2311yescharacteristic
384C2×C4⋊Dic67C2311yescharacteristic
385C2×C4⋊Dic67C2311yescharacteristic
386C2×C4⋊Dic67C2311yescharacteristic
387C2×C4⋊Dic67C2311yescharacteristic
388C2×C4⋊Dic67C2311yescharacteristic
389C2×C4⋊Dic67C2311yescharacteristic
390C2×C4⋊Dic67C2311yescharacteristic
391C2×C4⋊Dic67C2311yescharacteristic
392C2×C4⋊Dic67C2311yescharacteristic
393C2×C4⋊Dic67C2311yescharacteristic
394C2×C4⋊Dic67C2318yescomplemented
395C2×Dic67⋊C4C2318yes—
396C2×Dic67⋊C4C2318yes—
397C2×Dic67⋊C4C2311yescharacteristic
398C2×Dic67⋊C4C2311yescharacteristic
399C2×Dic67⋊C4C2311yescharacteristic
400C2×Dic67⋊C4C2311yescharacteristic
401C2×Dic67⋊C4C2311yescharacteristic
402C2×Dic67⋊C4C2311yescharacteristic
403C2×Dic67⋊C4C2311yescharacteristic
404C2×Dic67⋊C4C2311yescharacteristic
405C2×Dic67⋊C4C2311yescharacteristic
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⋊C4C2311yescharacteristic
429C2×Dic67⋊C4C2311yescharacteristic
430C2×Dic67⋊C4C2311yescharacteristic
431C2×Dic67⋊C4C2318yescomplemented
432C2×Dic67⋊C4C2318yescomplemented
433C2×Dic67⋊C4C2318yescomplemented
434C4⋊C4×D67C2318yescomplemented
435C2×C22⋊Dic67C2318yes—
436C2×C22⋊Dic67C2318yes—
437C2×C22⋊Dic67C2318yes—
438C2×C22⋊Dic67C2318yes—
439C2×C22⋊Dic67C2318yes—
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⋊Dic67C2311yescharacteristic
460C2×C22⋊Dic67C2311yescharacteristic
461C2×C22⋊Dic67C2311yescharacteristic
462C2×C22⋊Dic67C2311yescharacteristic
463C2×C22⋊Dic67C2311yescharacteristic
464C2×C22⋊Dic67C2311yescharacteristic
465C2×C22⋊Dic67C2311yescharacteristic
466C2×C22⋊Dic67C2311yescharacteristic
467C2×C22⋊Dic67C2311yescharacteristic
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×C4×Dic67C2311yescharacteristic
475C2×C4×Dic67C2311yescharacteristic
476C2×C4×Dic67C2311yescharacteristic
477C2×C4×Dic67C2311yescharacteristic
478C2×C4×Dic67C2311yescharacteristic
479C2×C4×Dic67C2311yescharacteristic
480C2×C4×Dic67C2311yescharacteristic
481C2×C4×Dic67C2311yescharacteristic
482C2×C4×Dic67C2311yescharacteristic
483C25×C67C2311yescharacteristic
484C25×C67C2311yescharacteristic
485C2×#41×C67—44no—
486C2×#41×C67C2318yes—
487C22×Q8×C67C2311yescharacteristic
488C22×D4×C67—44no—
489C22×D4×C67C2311yescharacteristic
490C22×D4×C67C2311yescharacteristic
491C22×D4×C67C2311yescharacteristic
492C22×D4×C67C2311yescharacteristic
493C22×D4×C67C2318yes—
494C22×D4×C67C2311yescharacteristic
495C22×D4×C67C2311yescharacteristic
496C22×D4×C67C2311yescharacteristic
497C22×D4×C67C2311yescharacteristic
498C22×D4×C67C2311yescharacteristic
499C23×C4×C67C2311yescharacteristic
500C23×C4×C67C2311yescharacteristic
501C23×C4×C67C2311yescharacteristic
502C23×C4×C67C2311yescharacteristic
503C23×C4×C67C2311yescharacteristic
504C23×C4×C67C2311yescharacteristic
505#124×C67C2318yes—
506#123×C67C2318yes—
507#123×C67C2318yes—
508C22⋊Q8×C67C2318yes—
509#121×C67C2318yes—
510#121×C67C2318yes—
511#121×C67C2318yes—
512#120×C67C2318yes—
513#120×C67C2318yes—
514C4×D4×C67C2318yes—
515C4×D4×C67C2318yes—
516C2×C4⋊C4×C67C2311yescharacteristic
517C2×C4⋊C4×C67C2311yescharacteristic
518C2×C4⋊C4×C67C2311yescharacteristic
519C2×C4⋊C4×C67C2311yescharacteristic
520C2×C22⋊C4×C67C2318yes—
521C2×C22⋊C4×C67C2311yescharacteristic
522C2×C22⋊C4×C67C2318yes—
523C2×C22⋊C4×C67C2311yescharacteristic
524C2×C22⋊C4×C67C2311yescharacteristic
525C2×C22⋊C4×C67C2311yescharacteristic
526C2×C22⋊C4×C67C2311yescharacteristic
527C2×C22⋊C4×C67C2311yescharacteristic
528C2×C22⋊C4×C67C2311yescharacteristic
529C2×C22⋊C4×C67C2311yescharacteristic
530C2×C22⋊C4×C67C2311yescharacteristic
531C2×C22⋊C4×C67C2311yescharacteristic
532C2×C22⋊C4×C67C2311yescharacteristic
533C2×C22⋊C4×C67C2311yescharacteristic
534C2×C42×C67C2311yescharacteristic
535C23×D67C2411yescharacteristic
536#11761627—416no—
537#11761627—416no—
538C2×Dic134—42no—
539C2×Dic134—42no—
540C2×Dic134—42no—
541C2×Dic134—42no—
542C2×Dic134—416no—
543C2×Dic134—42no—
544C2×Dic134—42no—
545C2×Dic134—42no—
546C2×Dic134—42no—
547C2×Dic134C2414yes—
548C2×Dic134C2414yes—
549C2×Dic134C2414yes—
550C2×Dic134C2414yes—
551C2×Dic134C2414yes—
552C2×Dic134C2414yes—
553C2×Dic134C2414yes—
554C2×Dic134C2414yes—
555C2×C22⋊D67—24no—
556C2×C22⋊D67—24no—
557C2×C22⋊D67—42no—
558C2×C22⋊D67—42no—
559C2×C22⋊D67—42no—
560C2×C22⋊D67—42no—
561C2×C22⋊D67C2414yes—
562C2×C22⋊D67C2414yes—
563C2×C22⋊D67C2414yes—
564C2×C22⋊D67C2414yes—
565C2×C22⋊D67C2414yes—
566C2×C22⋊D67C2414yes—
567C22×Dic67—24no—
568C22×Dic67—24no—
569C22×Dic67—24no—
570C22×Dic67—24no—
571C22×Dic67—42no—
572C22×Dic67—42no—
573C22×Dic67—42no—
574C22×Dic67—42no—
575C22×Dic67—416no—
576C22×Dic67—42no—
577C22×Dic67—42no—
578C22×Dic67—42no—
579C22×Dic67—42no—
580C22×Dic67—42no—
581C22×Dic67—42no—
582C22×Dic67C2411yescharacteristic
583C22×Dic67C2411yescharacteristic
584C22×Dic67C2411yescharacteristic
585C22×Dic67C2411yescharacteristic
586C22×Dic67C2411yescharacteristic
587C22×Dic67C2411yescharacteristic
588C22×Dic67C2411yescharacteristic
589C22×Dic67C2411yescharacteristic
590C22×Dic67C2411yescharacteristic
591C22×Dic67C2411yescharacteristic
592C22×Dic67C2411yescharacteristic
593C22×Dic67C2411yescharacteristic
594C22×Dic67C2411yescharacteristic
595C22×Dic67C2411yescharacteristic
596C22×Dic67C2414yes—
597C22×Dic67C2411yescharacteristic
598C22×Dic67C2414yes—
599C22×Dic67C2414yes—
600C22×Dic67C2414yes—
601C22×Dic67C2414yes—
602C22×Dic67C2414yes—
603C22×Dic67C2414yes—
604C22×Dic67C2414yes—
605C22×Dic67C2414yes—
606C22×Dic67C2414yes—
607C22×Dic67C2414yes—
608C22×Dic67C2414yes—
609C22×Dic67C2414yes—
610C22×Dic67C2414yes—
611C2×C4×D67—42no—
612C2×C4×D67—42no—
613C2×C4×D67—42no—
614C2×C4×D67C2414yes—
615C2×C4×D67C2414yes—
616C2×C4×D67C2414yes—
617C4⋊Dic67C2414yes—
618C4⋊Dic67C2414yes—
619C4⋊Dic67C2414yes—
620C4⋊Dic67C2414yes—
621C4⋊Dic67C2414yes—
622C4⋊Dic67C2414yes—
623C4⋊Dic67C2414yes—
624C4⋊Dic67C2414yes—
625C4⋊Dic67C2414yes—
626C4⋊Dic67C2414yes—
627C4⋊Dic67C2414yes—
628C4⋊Dic67C2414yes—
629Dic67⋊C4C2414yes—
630Dic67⋊C4C2414yes—
631Dic67⋊C4C2414yes—
632Dic67⋊C4C2414yes—
633Dic67⋊C4C2414yes—
634Dic67⋊C4C2414yes—
635Dic67⋊C4C2414yes—
636Dic67⋊C4C2414yes—
637Dic67⋊C4C2414yes—
638Dic67⋊C4C2414yes—
639Dic67⋊C4C2414yes—
640Dic67⋊C4C2414yes—
641Dic67⋊C4C2414yes—
642Dic67⋊C4C2414yes—
643Dic67⋊C4C2414yes—
644Dic67⋊C4C2414yes—
645Dic67⋊C4C2414yes—
646Dic67⋊C4C2414yes—
647Dic67⋊C4C2414yes—
648Dic67⋊C4C2414yes—
649Dic67⋊C4C2414yes—
650Dic67⋊C4C2414yes—
651Dic67⋊C4C2414yes—
652Dic67⋊C4C2414yes—
653Dic67⋊C4C2414yes—
654Dic67⋊C4C2414yes—
655Dic67⋊C4C2414yes—
656Dic67⋊C4C2414yes—
657Dic67⋊C4C2414yes—
658Dic67⋊C4C2414yes—
659Dic67⋊C4C2414yes—
660Dic67⋊C4C2414yes—
661Dic67⋊C4C2414yes—
662Dic67⋊C4C2414yes—
663C22⋊Dic67C2414yes—
664C22⋊Dic67C2414yes—
665C22⋊Dic67C2414yes—
666C22⋊Dic67C2414yes—
667C22⋊Dic67C2414yes—
668C22⋊Dic67C2414yes—
669C22⋊Dic67C2414yes—
670C22⋊Dic67C2414yes—
671C22⋊Dic67C2414yes—
672C22⋊Dic67C2414yes—
673C22⋊Dic67C2414yes—
674C22⋊Dic67C2414yes—
675C22⋊Dic67C2414yes—
676C22⋊Dic67C2414yes—
677C22⋊Dic67C2414yes—
678C22⋊Dic67C2414yes—
679C22⋊Dic67C2414yes—
680C22⋊Dic67C2414yes—
681C22⋊Dic67C2414yes—
682C22⋊Dic67C2414yes—
683C22⋊Dic67C2414yes—
684C22⋊Dic67C2414yes—
685C22⋊Dic67C2414yes—
686C22⋊Dic67C2414yes—
687C22⋊Dic67C2414yes—
688C22⋊Dic67C2414yes—
689C22⋊Dic67C2414yes—
690C22⋊Dic67C2414yes—
691(C2×D67)⋊C4C2414yes—
692(C2×D67)⋊C4C2414yes—
693(C2×D67)⋊C4C2414yes—
694(C2×D67)⋊C4C2414yes—
695(C2×D67)⋊C4C2414yes—
696(C2×D67)⋊C4C2414yes—
697C4×Dic67C2414yes—
698C4×Dic67C2414yes—
699C4×Dic67C2414yes—
700C4×Dic67C2414yes—
701C4×Dic67C2414yes—
702C4×Dic67C2414yes—
703C4×Dic67C2414yes—
704C4×Dic67C2414yes—
705C4×Dic67C2414yes—
706C24×C67—24no—
707C24×C67—24no—
708C24×C67—24no—
709C24×C67—42no—
710C24×C67—42no—
711C24×C67—42no—
712C24×C67C2411yescharacteristic
713C24×C67C2411yescharacteristic
714C24×C67C2411yescharacteristic
715C24×C67C2411yescharacteristic
716C24×C67C2414yes—
717C24×C67C2411yescharacteristic
718C24×C67C2411yescharacteristic
719C24×C67C2414yes—
720#41×C67—416no—
721C2×Q8×C67—42no—
722C2×Q8×C67C2414yes—
723C2×D4×C67—24no—
724C2×D4×C67—24no—
725C2×D4×C67—24no—
726C2×D4×C67—24no—
727C2×D4×C67—42no—
728C2×D4×C67—42no—
729C2×D4×C67—42no—
730C2×D4×C67—42no—
731C2×D4×C67—42no—
732C2×D4×C67—416no—
733C2×D4×C67C2414yes—
734C2×D4×C67C2414yes—
735C2×D4×C67C2414yes—
736C2×D4×C67C2414yes—
737C2×D4×C67C2414yes—
738C2×D4×C67C2414yes—
739C2×D4×C67C2414yes—
740C2×D4×C67C2414yes—
741C2×D4×C67C2414yes—
742C22×C4×C67—24no—
743C22×C4×C67—42no—
744C22×C4×C67—42no—
745C22×C4×C67—42no—
746C22×C4×C67—42no—
747C22×C4×C67—42no—
748C22×C4×C67C2411yescharacteristic
749C22×C4×C67C2411yescharacteristic
750C22×C4×C67C2411yescharacteristic
751C22×C4×C67C2411yescharacteristic
752C22×C4×C67C2411yescharacteristic
753C22×C4×C67C2411yescharacteristic
754C22×C4×C67C2411yescharacteristic
755C22×C4×C67C2411yescharacteristic
756C22×C4×C67C2414yes—
757C22×C4×C67C2411yescharacteristic
758C22×C4×C67C2414yes—
759C22×C4×C67C2414yes—
760C22×C4×C67C2414yes—
761C22×C4×C67C2414yes—
762C22×C4×C67C2414yes—
763C4⋊C4×C67C2414yes—
764C4⋊C4×C67C2414yes—
765C4⋊C4×C67C2414yes—
766C4⋊C4×C67C2414yes—
767C22⋊C4×C67C2414yes—
768C22⋊C4×C67C2414yes—
769C22⋊C4×C67C2414yes—
770C22⋊C4×C67C2414yes—
771C22⋊C4×C67C2414yes—
772C22⋊C4×C67C2414yes—
773C22⋊C4×C67C2414yes—
774C22⋊C4×C67C2414yes—
775C22⋊C4×C67C2414yes—
776C22⋊C4×C67C2414yes—
777C22⋊C4×C67C2414yes—
778C22⋊C4×C67C2414yes—
779C42×C67C2414yes—
780C23×C67—22no—
781C23×C67—22no—
782C23×C67—22no—
783C23×C67—22no—
784C23×C67—22no—
785C23×C67—22no—
786C23×C67—22no—
787C23×C67—28no—
788C23×C67—22no—
789C23×C67—22no—
790C23×C67—28no—
791C23×C67—22no—
792C23×C67—22no—
793C23×C67—22no—
794C23×C67—22no—
795C23×C67—22no—
796C23×C67—22no—
797C23×C67—22no—
798C23×C67—28no—
799C23×C67—44no—
800C23×C67—44no—
801C23×C67—44no—
802C23×C67—416no—
803C23×C67—88no—
804C23×C67H(5,𝔽2)14yes—
805C23×C672−1+414yes—
806C23×C67C2512yes—
807C23×C67C2512yes—
808C23×C67C2512yes—
809C23×C67C2512yes—
810C23×C67C2512yes—
811C23×C67C2512yes—
812C23×C67C2511yescharacteristic
813C22×D67—22no—
814C22×D67—22no—
815C22×D67—22no—
816C22×D67C2512yes—
817Q8×C67—44no—
818D4×C67—28no—
819D4×C67—28no—
820D4×C67—28no—
821D4×C67—28no—
822D4×C67—44no—
823D4×C67—44no—
824D4×C67—44no—
825D4×C67—44no—
826D4×C67—44no—
827C2×C4×C67—22no—
828C2×C4×C67—22no—
829C2×C4×C67—28no—
830C2×C4×C67—22no—
831C2×C4×C67—22no—
832C2×C4×C67—22no—
833C2×C4×C67—22no—
834C2×C4×C67—22no—
835C2×C4×C67—22no—
836C2×C4×C67—22no—
837C2×C4×C67—44no—
838C2×C4×C67—44no—
839C2×C4×C67—44no—
840C2×C4×C67—44no—
841C2×C4×C67—44no—
842C2×C4×C67C2512yes—
843C2×C4×C67C2512yes—
844C2×C4×C67C2512yes—
845C2×C4×C67C2512yes—
846C2×C4×C67C2512yes—
847C2×C4×C67C2512yes—
848C2×C4×C67C2512yes—
849C2×C4×C67C2512yes—
850C2×C4×C67C2512yes—
851C22⋊D67—28no—
852C22⋊D67—28no—
853C22⋊D67—44no—
854C22⋊D67—44no—
855C22⋊D67—44no—
856C22⋊D67—44no—
857C2×Dic67—22no—
858C2×Dic67—22no—
859C2×Dic67—22no—
860C2×Dic67—28no—
861C2×Dic67—22no—
862C2×Dic67—22no—
863C2×Dic67—28no—
864C2×Dic67—22no—
865C2×Dic67—28no—
866C2×Dic67—22no—
867C2×Dic67—28no—
868C2×Dic67—22no—
869C2×Dic67—22no—
870C2×Dic67—22no—
871C2×Dic67—22no—
872C2×Dic67—22no—
873C2×Dic67—22no—
874C2×Dic67—22no—
875C2×Dic67—22no—
876C2×Dic67—44no—
877C2×Dic67—44no—
878C2×Dic67—44no—
879C2×Dic67—44no—
880C2×Dic67—44no—
881C2×Dic67—44no—
882C2×Dic67—44no—
883C2×Dic67—44no—
884C2×Dic67—44no—
885C2×Dic67—44no—
886C2×Dic67C2512yes—
887C2×Dic67C2512yes—
888C2×Dic67C2512yes—
889C2×Dic67C2512yes—
890C2×Dic67C2512yes—
891C2×Dic67C2512yes—
892C2×Dic67C2512yes—
893C2×Dic67C2512yes—
894C2×Dic67C2512yes—
895C2×Dic67C2512yes—
896C2×Dic67C2512yes—
897C2×Dic67C2512yes—
898C2×Dic67C2512yes—
899C2×Dic67C2512yes—
900C2×Dic67C2512yes—
901C4×D67—44no—
902C4×D67—44no—
903C4×D67—44no—
904Dic134—44no—
905Dic134—44no—
906Dic134—44no—
907Dic134—44no—
908Dic134—44no—
909Dic134—44no—
910Dic134—44no—
911Dic134—44no—
912C22×C67—22no—
913C22×C67—22no—
914C22×C67—22no—
915C22×C67—22no—
916C22×C67—28no—
917C22×C67—28no—
918C22×C67—22no—
919C22×C67—22no—
920C22×C67—22no—
921C22×C67—22no—
922C22×C67—22no—
923C22×C67—22no—
924C22×C67—22no—
925C22×C67—22no—
926C22×C67—22no—
927C22×C67—22no—
928C22×C67—22no—
929C22×C67—22no—
930C22×C67—416no—
931C22×C67—44no—
932C22×C67—44no—
933C22×C67—44no—
934C22×C67—44no—
935C22×C67—88no—
936C22×C67C2×H(5,𝔽2)14yes—
937C22×C67C2×H(5,𝔽2)12yes—
938C22×C67C2×2−1+414yes—
939C22×C67C2×2−1+412yes—
940C22×C67#58512yes—
941C22×C67C2611yescharacteristic
942C2×D67—22no—
943C2×D67—22no—
944C2×D67—22no—
945C2×D67—44no—
946C4×C67—22no—
947C4×C67—22no—
948C4×C67—22no—
949C4×C67—22no—
950C4×C67—22no—
951C4×C67—22no—
952C4×C67—22no—
953C4×C67—22no—
954C4×C67—22no—
955Dic67—22no—
956Dic67—22no—
957Dic67—22no—
958Dic67—22no—
959Dic67—22no—
960Dic67—22no—
961Dic67—22no—
962Dic67—22no—
963Dic67—22no—
964Dic67—22no—
965Dic67—22no—
966Dic67—22no—
967Dic67—22no—
968Dic67—22no—
969Dic67—22no—
970C2×#3535—671nomaximal, Sylow
971C2×C67—24no—
972C2×C67—24no—
973C2×C67—42no—
974C2×C67—42no—
975C2×C67—42no—
976C2×C67—42no—
977C2×C67#353514yescomplemented
978C2×C67C22×H(5,𝔽2)11yescharacteristic
979C2×C67C22×2−1+411yescharacteristic
980C2×C67C2×#58511yescharacteristic
981D67—42no—
982#3535—6732no—
983C2×#563—671no—
984C2×#563—671no—
985C2×#562—671no—
986C2×#562—671no—
987C2×#554—671no—
988C2×#554—671no—
989C2×#552—671no—
990C2×#552—671no—
991C2×#551—671no—
992C2×#551—671no—
993C2×#551—671no—
994C2×#551—671no—
995C2×#547—671no—
996C2×#547—671no—
997C2×#546—671no—
998C2×#546D6711yescharacteristic, complemented
999C2×#544—671no—
1000C2×#543—671no—
1001C2×#542—671no—
1002C2×#542—671no—
1003C2×#539—671no—
1004C2×#539—671no—
1005C2×#539—671no—
1006C2×#539—671no—
1007C2×#539—671no—
1008C2×#538—671no—
1009C2×#536—671no—
1010C2×#536—671no—
1011C2×#525—671no—
1012C22×#123—671no—
1013C22×C22⋊Q8—671no—
1014C67C2×#353511yescharacteristic, complemented, Sylow
1015C22×#41—671no—
1016C22×#41—671no—
1017C22×#41C2×D6711yescharacteristic
1018C23×Q8—671no—
1019C23×D4C2×D6711yescharacteristic
1020C24×C4—671no—
1021#563—6716no—
1022#563—6716no—
1023#562—6716no—
1024#562—6716no—
1025#554—6716no—
1026#554—6716no—
1027#552—6716no—
1028#552—6716no—
1029#551—6716no—
1030#551—6716no—
1031#551—6716no—
1032#551—6716no—
1033#547—6716no—
1034#547—6716no—
1035#546—6716no—
1036#546C2×D67116yescomplemented
1037#544—6716no—
1038#543—6716no—
1039#542—6716no—
1040#542—6716no—
1041#539—6716no—
1042#539—6716no—
1043#539—6716no—
1044#539—6716no—
1045#539—6716no—
1046#538—6716no—
1047#536—6716no—
1048#536—6716no—
1049C2×C4⋊Q8—671no—
1050C2×C4⋊Q8—671no—
1051C2×C4⋊Q8—671no—
1052C2×C4⋊Q8—671no—
1053C2×C4⋊Q8—671no—
1054C2×C4⋊Q8—671no—
1055C2×#126—671no—
1056C2×#126—671no—
1057C2×#126—671no—
1058C2×#126—671no—
1059C2×#126—671no—
1060C2×#126—671no—
1061C2×#126—671no—
1062C2×#126—671no—
1063C2×#126—671no—
1064C2×#126—671no—
1065C2×#126—671no—
1066C2×#126—671no—
1067C2×#125—671no—
1068C2×#125—671no—
1069C2×#125—671no—
1070C2×#125—671no—
1071C2×#125—671no—
1072C2×#125—671no—
1073C2×#125—671no—
1074C2×#125—671no—
1075C2×#125—671no—
1076C2×#125—671no—
1077C2×#124—671no—
1078C2×#124—671no—
1079C2×#124—671no—
1080C2×#124—671no—
1081C2×#124—671no—
1082C2×#124—671no—
1083C2×#124—671no—
1084C2×#124C2×D6711yescharacteristic
1085#525—6716no—
1086C2×#123—671no—
1087C2×#123—671no—
1088C2×#123—671no—
1089C2×#123—671no—
1090C2×#123—671no—
1091C2×#123—671no—
1092C2×#123—671no—
1093C2×#123—671no—
1094C2×#123—6716no—
1095C2×#123—671no—
1096C2×#123—671no—
1097C2×#123—671no—
1098C2×#123—671no—
1099C2×#123—671no—
1100C2×#123—671no—
1101C2×#123—671no—
1102C2×#123—671no—
1103C2×#123—671no—
1104C2×#123—671no—
1105C2×#123—671no—
1106C2×#123—671no—
1107C2×#123—671no—
1108C2×#123—671no—
1109C2×#123—671no—
1110C2×#123—671no—
1111C2×#123—671no—
1112C2×#123—671no—
1113C2×#123C2×D6711yescharacteristic
1114C2×#123C2×D6711yescharacteristic
1115C2×C22⋊Q8—671no—
1116C2×C22⋊Q8—671no—
1117C2×C22⋊Q8—671no—
1118C2×C22⋊Q8—671no—
1119C2×C22⋊Q8—671no—
1120C2×C22⋊Q8—671no—
1121C2×C22⋊Q8—671no—
1122C2×C22⋊Q8—671no—
1123C2×C22⋊Q8—671no—
1124C2×C22⋊Q8—671no—
1125C2×C22⋊Q8—671no—
1126C2×C22⋊Q8—671no—
1127C2×C22⋊Q8—671no—
1128C2×C22⋊Q8—671no—
1129C2×C22⋊Q8—671no—
1130C2×C22⋊Q8—671no—
1131C2×C22⋊Q8—671no—
1132C2×C22⋊Q8—671no—
1133C2×C22⋊Q8—671no—
1134C2×C22⋊Q8—671no—
1135C2×C22⋊Q8—671no—
1136C2×C22⋊Q8—6716no—
1137C2×C22⋊Q8—671no—
1138C2×C22⋊Q8—671no—
1139C2×C22⋊Q8—671no—
1140C2×C22⋊Q8—671no—
1141C2×C22⋊Q8—671no—
1142C2×C22⋊Q8—671no—
1143C2×C22⋊Q8—671no—
1144C2×C22⋊Q8—671no—
1145C2×C22⋊Q8—671no—
1146C2×C22⋊Q8—671no—
1147C2×C22⋊Q8—671no—
1148C2×C22⋊Q8—671no—
1149C2×C22⋊Q8C2×D6711yescharacteristic
1150C2×#121—671no—
1151C2×#121—671no—
1152C2×#121—671no—
1153C2×#121—671no—
1154C2×#121—671no—
1155C2×#121—671no—
1156C2×#121—671no—
1157C2×#121C2×D6711yescharacteristic
1158C2×#121C2×D6711yescharacteristic
1159C2×#121C2×D6711yescharacteristic
1160C2×#120—671no—
1161C2×#120—671no—
1162C2×#120C2×D6711yescharacteristic
1163C2×#120C2×D6711yescharacteristic
1164C2×C4×Q8—671no—
1165C2×C4×Q8—671no—
1166C2×C4×D4—671no—
1167C2×C4×D4—671no—
1168C2×C4×D4—671no—
1169C2×C4×D4—671no—
1170C2×C4×D4—671no—
1171C2×C4×D4—671no—
1172C2×C4×D4—671no—
1173C2×C4×D4—671no—
1174C2×C4×D4—671no—
1175C2×C4×D4—671no—
1176C2×C4×D4—671no—
1177C2×C4×D4—671no—
1178C2×C4×D4C2×D6711yescharacteristic
1179C2×C4×D4C2×D6711yescharacteristic
1180C2×#117—671no—
1181C2×#117—671no—
1182C2×#117—671no—
1183C2×#117—671no—
1184C2×#117—671no—
1185C2×#117—671no—
1186C2×#117—671no—
1187C22×C4⋊C4—671no—
1188C22×C4⋊C4—671no—
1189C22×C4⋊C4—671no—
1190C22×C4⋊C4—671no—
1191C22×C4⋊C4—671no—
1192C22×C4⋊C4—671no—
1193C22×C4⋊C4—671no—
1194C22×C22⋊C4—671no—
1195C22×C22⋊C4—671no—
1196C22×C22⋊C4—671no—
1197C22×C22⋊C4—671no—
1198C22×C22⋊C4—671no—
1199C22×C22⋊C4C2×D6711yescharacteristic
1200C22×C22⋊C4C2×D6711yescharacteristic
1201C25C22×D6711yescharacteristic
1202C25C22×D6711yescharacteristic
1203C2×#41—44no—
1204C2×#41—2684no—
1205C2×#41—2684no—
1206C2×#41—678no—
1207C2×#41—678no—
1208C2×#41C22×D6718yes—
1209C22×Q8—2684no—
1210C22×Q8—671no—
1211C22×Q8—671no—
1212C22×Q8—671no—
1213C22×Q8—671no—
1214C22×Q8—671no—
1215C22×Q8—671no—
1216C22×Q8—671no—
1217C22×Q8—671no—
1218C22×Q8—678no—
1219C22×Q8C22×D6711yescharacteristic
1220C22×D4—44no—
1221C22×D4—671no—
1222C22×D4—671no—
1223C22×D4—671no—
1224C22×D4—671no—
1225C22×D4—671no—
1226C22×D4—671no—
1227C22×D4C22×D6711yescharacteristic
1228C22×D4C22×D6711yescharacteristic
1229C22×D4C22×D6711yescharacteristic
1230C22×D4C22×D6711yescharacteristic
1231C22×D4C22×D6711yescharacteristic
1232C22×D4C22×D6711yescharacteristic
1233C22×D4C22×D6711yescharacteristic
1234C22×D4C22×D6711yescharacteristic
1235C22×D4C22×D6711yescharacteristic
1236C22×D4C22×D6718yes—
1237C23×C4—2684no—
1238C23×C4—671no—
1239C23×C4—671no—
1240C23×C4—671no—
1241C23×C4—671no—
1242C23×C4—671no—
1243C23×C4—671no—
1244C23×C4—671no—
1245C23×C4—671no—
1246C23×C4—671no—
1247C23×C4—671no—
1248C23×C4—678no—
1249C23×C4—671no—
1250C23×C4—671no—
1251C23×C4—671no—
1252C23×C4—671no—
1253C23×C4—671no—
1254C23×C4—671no—
1255C23×C4—671no—
1256C23×C4C22×D6711yescharacteristic
1257C23×C4C22×D6711yescharacteristic
1258C23×C4C22×D6711yescharacteristic
1259C23×C4C22×D6711yescharacteristic
1260C23×C4C22×D6711yescharacteristic
1261C23×C4C22×D6711yescharacteristic
1262C4⋊Q8—678no—
1263C4⋊Q8—678no—
1264C4⋊Q8—678no—
1265C4⋊Q8—678no—
1266C4⋊Q8—678no—
1267C4⋊Q8—678no—
1268#126—678no—
1269#126—678no—
1270#126—678no—
1271#126—678no—
1272#126—678no—
1273#126—678no—
1274#126—678no—
1275#126—678no—
1276#126—678no—
1277#126—678no—
1278#126—678no—
1279#126—678no—
1280#125—678no—
1281#125—678no—
1282#125—678no—
1283#125—678no—
1284#125—678no—
1285#125—678no—
1286#125—678no—
1287#125—678no—
1288#125—678no—
1289#125—678no—
1290#124—678no—
1291#124—678no—
1292#124—678no—
1293#124—678no—
1294#124—678no—
1295#124—678no—
1296#124—678no—
1297#124C22×D6718yes—
1298#123—678no—
1299#123—678no—
1300#123—678no—
1301#123—678no—
1302#123—678no—
1303#123—678no—
1304#123—678no—
1305#123—678no—
1306#123—678no—
1307#123—678no—
1308#123—678no—
1309#123—678no—
1310#123—678no—
1311#123—678no—
1312#123—678no—
1313#123—678no—
1314#123—678no—
1315#123—678no—
1316#123—678no—
1317#123—678no—
1318#123—678no—
1319#123—678no—
1320#123—678no—
1321#123—678no—
1322#123—678no—
1323#123—678no—
1324#123C22×D6718yes—
1325#123C22×D6718yes—
1326C22⋊Q8—678no—
1327C22⋊Q8—678no—
1328C22⋊Q8—678no—
1329C22⋊Q8—678no—
1330C22⋊Q8—678no—
1331C22⋊Q8—678no—
1332C22⋊Q8—678no—
1333C22⋊Q8—678no—
1334C22⋊Q8—678no—
1335C22⋊Q8—678no—
1336C22⋊Q8—678no—
1337C22⋊Q8—678no—
1338C22⋊Q8—678no—
1339C22⋊Q8—678no—
1340C22⋊Q8—678no—
1341C22⋊Q8—678no—
1342C22⋊Q8—678no—
1343C22⋊Q8—678no—
1344C22⋊Q8—678no—
1345C22⋊Q8—678no—
1346C22⋊Q8—678no—
1347C22⋊Q8—678no—
1348C22⋊Q8—678no—
1349C22⋊Q8—678no—
1350C22⋊Q8—678no—
1351C22⋊Q8—678no—
1352C22⋊Q8—678no—
1353C22⋊Q8—678no—
1354C22⋊Q8—678no—
1355C22⋊Q8—678no—
1356C22⋊Q8—678no—
1357C22⋊Q8—678no—
1358C22⋊Q8—678no—
1359C22⋊Q8C22×D6718yes—
1360#121—678no—
1361#121—678no—
1362#121—678no—
1363#121—678no—
1364#121—678no—
1365#121—678no—
1366#121—678no—
1367#121C22×D6718yes—
1368#121C22×D6718yes—
1369#121C22×D6718yes—
1370#120—678no—
1371#120—678no—
1372#120C22×D6718yes—
1373#120C22×D6718yes—
1374C4×Q8—678no—
1375C4×Q8—678no—
1376C4×D4—678no—
1377C4×D4—678no—
1378C4×D4—678no—
1379C4×D4—678no—
1380C4×D4—678no—
1381C4×D4—678no—
1382C4×D4—678no—
1383C4×D4—678no—
1384C4×D4—678no—
1385C4×D4—678no—
1386C4×D4—678no—
1387C4×D4—678no—
1388C4×D4C22×D6718yes—
1389C4×D4C22×D6718yes—
1390#117—678no—
1391#117—678no—
1392#117—678no—
1393#117—678no—
1394#117—678no—
1395#117—678no—
1396#117—678no—
1397C2×C4⋊C4—671no—
1398C2×C4⋊C4—671no—
1399C2×C4⋊C4—671no—
1400C2×C4⋊C4—671no—
1401C2×C4⋊C4—671no—
1402C2×C4⋊C4—671no—
1403C2×C4⋊C4—671no—
1404C2×C4⋊C4—671no—
1405C2×C4⋊C4—671no—
1406C2×C4⋊C4—671no—
1407C2×C4⋊C4—671no—
1408C2×C4⋊C4—671no—
1409C2×C4⋊C4—671no—
1410C2×C4⋊C4—671no—
1411C2×C4⋊C4—671no—
1412C2×C4⋊C4—671no—
1413C2×C4⋊C4—671no—
1414C2×C4⋊C4—671no—
1415C2×C4⋊C4—671no—
1416C2×C4⋊C4—678no—
1417C2×C4⋊C4—678no—
1418C2×C4⋊C4—678no—
1419C2×C4⋊C4—671no—
1420C2×C4⋊C4—671no—
1421C2×C4⋊C4—671no—
1422C2×C4⋊C4—671no—
1423C2×C4⋊C4—678no—
1424C2×C4⋊C4—678no—
1425C2×C4⋊C4—678no—
1426C2×C4⋊C4—671no—
1427C2×C4⋊C4—671no—
1428C2×C4⋊C4—671no—
1429C2×C4⋊C4—671no—
1430C2×C4⋊C4—671no—
1431C2×C4⋊C4—671no—
1432C2×C4⋊C4—671no—
1433C2×C4⋊C4—671no—
1434C2×C4⋊C4—671no—
1435C2×C4⋊C4—671no—
1436C2×C4⋊C4—671no—
1437C2×C4⋊C4—671no—
1438C2×C4⋊C4—671no—
1439C2×C4⋊C4—671no—
1440C2×C4⋊C4—671no—
1441C2×C4⋊C4—671no—
1442C2×C4⋊C4—671no—
1443C2×C4⋊C4—671no—
1444C2×C4⋊C4—671no—
1445C2×C4⋊C4—671no—
1446C2×C4⋊C4—671no—
1447C2×C4⋊C4—671no—
1448C2×C4⋊C4—671no—
1449C2×C4⋊C4—678no—
1450C2×C4⋊C4C22×D6711yescharacteristic
1451C2×C4⋊C4C22×D6711yescharacteristic
1452C2×C4⋊C4C22×D6711yescharacteristic
1453C2×C4⋊C4C22×D6711yescharacteristic
1454C2×C22⋊C4—671no—
1455C2×C22⋊C4—671no—
1456C2×C22⋊C4—671no—
1457C2×C22⋊C4—671no—
1458C2×C22⋊C4—671no—
1459C2×C22⋊C4—671no—
1460C2×C22⋊C4—671no—
1461C2×C22⋊C4—671no—
1462C2×C22⋊C4—671no—
1463C2×C22⋊C4—671no—
1464C2×C22⋊C4—671no—
1465C2×C22⋊C4—671no—
1466C2×C22⋊C4—671no—
1467C2×C22⋊C4—671no—
1468C2×C22⋊C4—671no—
1469C2×C22⋊C4—678no—
1470C2×C22⋊C4—671no—
1471C2×C22⋊C4—671no—
1472C2×C22⋊C4—671no—
1473C2×C22⋊C4—671no—
1474C2×C22⋊C4—678no—
1475C2×C22⋊C4—678no—
1476C2×C22⋊C4—678no—
1477C2×C22⋊C4—678no—
1478C2×C22⋊C4—671no—
1479C2×C22⋊C4—671no—
1480C2×C22⋊C4—671no—
1481C2×C22⋊C4—671no—
1482C2×C22⋊C4—671no—
1483C2×C22⋊C4—671no—
1484C2×C22⋊C4—671no—
1485C2×C22⋊C4—671no—
1486C2×C22⋊C4—671no—
1487C2×C22⋊C4—671no—
1488C2×C22⋊C4—671no—
1489C2×C22⋊C4—671no—
1490C2×C22⋊C4—671no—
1491C2×C22⋊C4—671no—
1492C2×C22⋊C4—671no—
1493C2×C22⋊C4C22×D6711yescharacteristic
1494C2×C22⋊C4C22×D6711yescharacteristic
1495C2×C22⋊C4C22×D6711yescharacteristic
1496C2×C22⋊C4C22×D6711yescharacteristic
1497C2×C22⋊C4C22×D6711yescharacteristic
1498C2×C22⋊C4C22×D6711yescharacteristic
1499C2×C22⋊C4C22×D6711yescharacteristic
1500C2×C22⋊C4C22×D6718yes—
1501C2×C22⋊C4C22×D6718yes—
1502C2×C22⋊C4C22×D6711yescharacteristic
1503C2×C22⋊C4C22×D6711yescharacteristic
1504C2×C22⋊C4C22×D6711yescharacteristic
1505C2×C22⋊C4C22×D6711yescharacteristic
1506C2×C22⋊C4C22×D6711yescharacteristic
1507C2×C42—671no—
1508C2×C42—671no—
1509C2×C42—671no—
1510C2×C42—671no—
1511C2×C42—671no—
1512C2×C42—671no—
1513C2×C42—671no—
1514C2×C42—671no—
1515C2×C42—671no—
1516C2×C42C22×D6711yescharacteristic
1517C24—24no—
1518C24—24no—
1519C24—24no—
1520C24—42no—
1521C24—42no—
1522C24—42no—
1523C24—671no—
1524C24C23×D6711yescharacteristic
1525C24C23×D6711yescharacteristic
1526C24C23×D6711yescharacteristic
1527C24C23×D6711yescharacteristic
1528C24C23×D6714yes—
1529C24C23×D6711yescharacteristic
1530C24C23×D6711yescharacteristic
1531C24C23×D6714yes—
1532#41—416no—
1533#41—26816no—
1534#41—26816no—
1535C2×Q8—42no—
1536C2×Q8—2682no—
1537C2×Q8—2682no—
1538C2×Q8—2682no—
1539C2×Q8—2682no—
1540C2×Q8—26816no—
1541C2×Q8—2682no—
1542C2×Q8—2682no—
1543C2×Q8—2682no—
1544C2×Q8—2682no—
1545C2×Q8—674no—
1546C2×Q8—674no—
1547C2×Q8—674no—
1548C2×Q8—674no—
1549C2×Q8—674no—
1550C2×Q8—674no—
1551C2×Q8—674no—
1552C2×Q8—674no—
1553C2×Q8C23×D6714yes—
1554C2×D4—24no—
1555C2×D4—24no—
1556C2×D4—24no—
1557C2×D4—24no—
1558C2×D4—42no—
1559C2×D4—42no—
1560C2×D4—42no—
1561C2×D4—42no—
1562C2×D4—42no—
1563C2×D4—416no—
1564C2×D4—2682no—
1565C2×D4—2682no—
1566C2×D4—2682no—
1567C2×D4—2682no—
1568C2×D4—674no—
1569C2×D4—674no—
1570C2×D4—674no—
1571C2×D4—674no—
1572C2×D4—674no—
1573C2×D4—674no—
1574C2×D4—1344no—
1575C2×D4—1344no—
1576C2×D4C23×D6714yes—
1577C2×D4C23×D6714yes—
1578C2×D4C23×D6714yes—
1579C2×D4C23×D6714yes—
1580C2×D4C23×D6714yes—
1581C2×D4C23×D6714yes—
1582C2×D4C23×D6714yes—
1583C2×D4C23×D6714yes—
1584C2×D4C23×D6714yes—
1585C22×C4—24no—
1586C22×C4—42no—
1587C22×C4—42no—
1588C22×C4—42no—
1589C22×C4—42no—
1590C22×C4—42no—
1591C22×C4—2682no—
1592C22×C4—2682no—
1593C22×C4—2682no—
1594C22×C4—2682no—
1595C22×C4—2682no—
1596C22×C4—2682no—
1597C22×C4—2682no—
1598C22×C4—26816no—
1599C22×C4—2682no—
1600C22×C4—2682no—
1601C22×C4—2682no—
1602C22×C4—2682no—
1603C22×C4—2682no—
1604C22×C4—2682no—
1605C22×C4—674no—
1606C22×C4—674no—
1607C22×C4—674no—
1608C22×C4—674no—
1609C22×C4—674no—
1610C22×C4—674no—
1611C22×C4—674no—
1612C22×C4—674no—
1613C22×C4—674no—
1614C22×C4—674no—
1615C22×C4—674no—
1616C22×C4—674no—
1617C22×C4—674no—
1618C22×C4—674no—
1619C22×C4—674no—
1620C22×C4—674no—
1621C22×C4—674no—
1622C22×C4—671no—
1623C22×C4—671no—
1624C22×C4—671no—
1625C22×C4—671no—
1626C22×C4—671no—
1627C22×C4—671no—
1628C22×C4—671no—
1629C22×C4—671no—
1630C22×C4—671no—
1631C22×C4—671no—
1632C22×C4—671no—
1633C22×C4—671no—
1634C22×C4—671no—
1635C22×C4—671no—
1636C22×C4—671no—
1637C22×C4—1344no—
1638C22×C4—1344no—
1639C22×C4—1344no—
1640C22×C4—1344no—
1641C22×C4C23×D6714yes—
1642C22×C4C23×D6711yescharacteristic
1643C22×C4C23×D6711yescharacteristic
1644C22×C4C23×D6711yescharacteristic
1645C22×C4C23×D6711yescharacteristic
1646C22×C4C23×D6711yescharacteristic
1647C22×C4C23×D6711yescharacteristic
1648C22×C4C23×D6711yescharacteristic
1649C22×C4C23×D6711yescharacteristic
1650C22×C4C23×D6711yescharacteristic
1651C22×C4C23×D6714yes—
1652C22×C4C23×D6714yes—
1653C22×C4C23×D6714yes—
1654C22×C4C23×D6714yes—
1655C22×C4C23×D6714yes—
1656C4⋊C4—674no—
1657C4⋊C4—674no—
1658C4⋊C4—674no—
1659C4⋊C4—674no—
1660C4⋊C4—674no—
1661C4⋊C4—674no—
1662C4⋊C4—674no—
1663C4⋊C4—674no—
1664C4⋊C4—674no—
1665C4⋊C4—674no—
1666C4⋊C4—674no—
1667C4⋊C4—674no—
1668C4⋊C4—674no—
1669C4⋊C4—674no—
1670C4⋊C4—674no—
1671C4⋊C4—674no—
1672C4⋊C4—674no—
1673C4⋊C4—674no—
1674C4⋊C4—674no—
1675C4⋊C4—674no—
1676C4⋊C4—674no—
1677C4⋊C4—674no—
1678C4⋊C4—674no—
1679C4⋊C4—674no—
1680C4⋊C4—674no—
1681C4⋊C4—674no—
1682C4⋊C4—674no—
1683C4⋊C4—674no—
1684C4⋊C4—674no—
1685C4⋊C4—674no—
1686C4⋊C4—674no—
1687C4⋊C4—674no—
1688C4⋊C4—674no—
1689C4⋊C4—674no—
1690C4⋊C4—674no—
1691C4⋊C4—674no—
1692C4⋊C4—674no—
1693C4⋊C4—674no—
1694C4⋊C4—674no—
1695C4⋊C4—674no—
1696C4⋊C4—674no—
1697C4⋊C4—674no—
1698C4⋊C4—674no—
1699C4⋊C4—674no—
1700C4⋊C4—674no—
1701C4⋊C4—674no—
1702C4⋊C4C23×D6714yes—
1703C4⋊C4C23×D6714yes—
1704C4⋊C4C23×D6714yes—
1705C4⋊C4C23×D6714yes—
1706C22⋊C4—674no—
1707C22⋊C4—674no—
1708C22⋊C4—674no—
1709C22⋊C4—674no—
1710C22⋊C4—674no—
1711C22⋊C4—674no—
1712C22⋊C4—674no—
1713C22⋊C4—674no—
1714C22⋊C4—674no—
1715C22⋊C4—674no—
1716C22⋊C4—674no—
1717C22⋊C4—674no—
1718C22⋊C4—674no—
1719C22⋊C4—674no—
1720C22⋊C4—674no—
1721C22⋊C4—674no—
1722C22⋊C4—674no—
1723C22⋊C4—674no—
1724C22⋊C4—674no—
1725C22⋊C4—674no—
1726C22⋊C4—674no—
1727C22⋊C4—674no—
1728C22⋊C4—674no—
1729C22⋊C4—674no—
1730C22⋊C4—674no—
1731C22⋊C4—674no—
1732C22⋊C4—674no—
1733C22⋊C4—674no—
1734C22⋊C4—674no—
1735C22⋊C4—674no—
1736C22⋊C4—674no—
1737C22⋊C4—674no—
1738C22⋊C4—674no—
1739C22⋊C4—674no—
1740C22⋊C4C23×D6714yes—
1741C22⋊C4C23×D6714yes—
1742C22⋊C4C23×D6714yes—
1743C22⋊C4C23×D6714yes—
1744C22⋊C4C23×D6714yes—
1745C22⋊C4C23×D6714yes—
1746C22⋊C4C23×D6714yes—
1747C22⋊C4C23×D6714yes—
1748C22⋊C4C23×D6714yes—
1749C22⋊C4C23×D6714yes—
1750C22⋊C4C23×D6714yes—
1751C22⋊C4C23×D6714yes—
1752C42—674no—
1753C42—674no—
1754C42—674no—
1755C42—674no—
1756C42—674no—
1757C42—674no—
1758C42—674no—
1759C42—674no—
1760C42—674no—
1761C42C23×D6714yes—
1762C23—22no—
1763C23—22no—
1764C23—22no—
1765C23—22no—
1766C23—22no—
1767C23—22no—
1768C23—28no—
1769C23—22no—
1770C23—22no—
1771C23—22no—
1772C23—28no—
1773C23—22no—
1774C23—22no—
1775C23—22no—
1776C23—22no—
1777C23—22no—
1778C23—22no—
1779C23—22no—
1780C23—28no—
1781C23—44no—
1782C23—44no—
1783C23—44no—
1784C23—416no—
1785C23—88no—
1786C23—672no—
1787C23—1342no—
1788C23—1342no—
1789C23—1342no—
1790C23#1452408814yes—
1791C23#1452409014yes—
1792C23C24×D6712yes—
1793C23C24×D6712yes—
1794C23C24×D6712yes—
1795C23C24×D6712yes—
1796C23C24×D6712yes—
1797C23C24×D6712yes—
1798C23C24×D6711yescharacteristic
1799Q8—44no—
1800Q8—2684no—
1801Q8—2684no—
1802Q8—2684no—
1803Q8—2684no—
1804Q8—2684no—
1805Q8—2684no—
1806Q8—2684no—
1807Q8—2684no—
1808D4—28no—
1809D4—28no—
1810D4—28no—
1811D4—28no—
1812D4—44no—
1813D4—44no—
1814D4—44no—
1815D4—44no—
1816D4—44no—
1817D4—2684no—
1818D4—2684no—
1819D4—2684no—
1820D4—2684no—
1821D4—1348no—
1822D4—1348no—
1823C2×C4—22no—
1824C2×C4—22no—
1825C2×C4—28no—
1826C2×C4—22no—
1827C2×C4—22no—
1828C2×C4—22no—
1829C2×C4—22no—
1830C2×C4—22no—
1831C2×C4—22no—
1832C2×C4—22no—
1833C2×C4—44no—
1834C2×C4—44no—
1835C2×C4—44no—
1836C2×C4—44no—
1837C2×C4—44no—
1838C2×C4—2684no—
1839C2×C4—2684no—
1840C2×C4—2684no—
1841C2×C4—2684no—
1842C2×C4—2684no—
1843C2×C4—2684no—
1844C2×C4—2684no—
1845C2×C4—2684no—
1846C2×C4—2684no—
1847C2×C4—2684no—
1848C2×C4—2684no—
1849C2×C4—2684no—
1850C2×C4—2684no—
1851C2×C4—672no—
1852C2×C4—672no—
1853C2×C4—672no—
1854C2×C4—672no—
1855C2×C4—672no—
1856C2×C4—672no—
1857C2×C4—672no—
1858C2×C4—672no—
1859C2×C4—672no—
1860C2×C4—672no—
1861C2×C4—672no—
1862C2×C4—672no—
1863C2×C4—672no—
1864C2×C4—672no—
1865C2×C4—672no—
1866C2×C4—1342no—
1867C2×C4—1342no—
1868C2×C4—1348no—
1869C2×C4—1342no—
1870C2×C4—1342no—
1871C2×C4—1342no—
1872C2×C4—1348no—
1873C2×C4—1342no—
1874C2×C4—1342no—
1875C2×C4—1348no—
1876C2×C4—1348no—
1877C2×C4—1342no—
1878C2×C4—1342no—
1879C2×C4—1342no—
1880C2×C4—1342no—
1881C2×C4—1342no—
1882C2×C4—1342no—
1883C2×C4—1342no—
1884C2×C4—1342no—
1885C2×C4C24×D6712yes—
1886C2×C4C24×D6712yes—
1887C2×C4C24×D6712yes—
1888C2×C4C24×D6712yes—
1889C2×C4C24×D6712yes—
1890C2×C4C24×D6712yes—
1891C2×C4C24×D6712yes—
1892C2×C4C24×D6712yes—
1893C2×C4C24×D6712yes—
1894C22—28no—
1895C22—28no—
1896C22—22no—
1897C22—22no—
1898C22—22no—
1899C22—22no—
1900C22—22no—
1901C22—22no—
1902C22—22no—
1903C22—22no—
1904C22—22no—
1905C22—22no—
1906C22—22no—
1907C22—22no—
1908C22—22no—
1909C22—22no—
1910C22—22no—
1911C22—22no—
1912C22—416no—
1913C22—44no—
1914C22—44no—
1915C22—44no—
1916C22—44no—
1917C22—88no—
1918C22—2684no—
1919C22—1342no—
1920C22—1342no—
1921C22—1342no—
1922C22C2×#1452408814yes—
1923C22C2×#1452408812yes—
1924C22C2×#1452409014yes—
1925C22C2×#1452409012yes—
1926C22#1686423112yes—
1927C22C25×D6711yescharacteristic
1928C4—22no—
1929C4—22no—
1930C4—22no—
1931C4—22no—
1932C4—22no—
1933C4—22no—
1934C4—22no—
1935C4—22no—
1936C4—22no—
1937C4—1342no—
1938C4—1342no—
1939C4—1342no—
1940C4—1342no—
1941C4—1342no—
1942C4—1342no—
1943C4—1342no—
1944C4—1342no—
1945C4—1342no—
1946C4—1342no—
1947C4—1342no—
1948C4—1342no—
1949C4—1342no—
1950C4—1342no—
1951C4—1342no—
1952C2—24no—
1953C2—24no—
1954C2—42no—
1955C2—42no—
1956C2—42no—
1957C2—42no—
1958C2—2682no—
1959C2#2257440614yesdirect product factor
1960C2C22×#1452408811yescharacteristic
1961C2C22×#1452409011yescharacteristic
1962C2C2×#1686423111yescharacteristic
subgroupG/H
centerC23C24×D67
commutator, cosocleC22×C67C26
FrattiniC22C25×D67
FittingC2×#546×C67C2
socleC23×C67C25
hypercenterC2×#546D67
hypocenterC67C2×#3535
LCSG ▷ C22×C67 ▷ C67
UCSC1 ◁ C23 ◁ C2×#546

Complements

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

NH ≅ G/Ntype
1. #22574406C2direct (N × H)
2. C2×#16864149C2semidirect
3. C2×#16864146C2semidirect
4. C2×#16864141C2semidirect
5. C2×#16864141C2semidirect
6. C2×#16864105C2semidirect
7. C2×#16864100C2semidirect
8. C2×#16864086C2semidirect
9. C2×#16864083C2semidirect
10. C2×#16864077C2semidirect
11. C2×#16864077C2semidirect
12. C2×#16864072C2semidirect
13. C2×#16864072C2semidirect
14. C2×#16864046C2semidirect
15. C2×#16864045C2semidirect
16. C2×#16864040C2semidirect
17. C2×#16864025C2semidirect
18. C2×#16864022C2semidirect
19. C2×#16864013C2semidirect
20. C2×#16864010C2semidirect
21. C2×#16863991C2semidirect
22. C2×#16863991C2semidirect
23. C2×#16863989C2semidirect
24. C2×#16863988C2semidirect
25. C2×#16863988C2semidirect
26. C2×#16863981C2semidirect
27. C2×#16863968C2semidirect
28. C2×#16863967C2semidirect
29. C2×#16863902C2semidirect
30. C22×#14524024C2semidirect
31. C22×#14524020C2semidirect
32. C2×#546×C67C2semidirect
34. C22×#11761627C22semidirect
35. C23×Dic134C22semidirect
37. #16864149C22semidirect
38. #16864146C22semidirect
39. #16864141C22semidirect
40. #16864141C22semidirect
41. #16864105C22semidirect
42. #16864100C22semidirect
43. #16864086C22semidirect
44. #16864083C22semidirect
45. #16864077C22semidirect
46. #16864077C22semidirect
47. #16864072C22semidirect
48. #16864072C22semidirect
49. #16864046C22semidirect
50. #16864045C22semidirect
51. #16864040C22semidirect
52. #16864025C22semidirect
53. #16864022C22semidirect
54. #16864013C22semidirect
55. #16864010C22semidirect
56. #16863991C22semidirect
57. #16863991C22semidirect
58. #16863989C22semidirect
59. #16863988C22semidirect
60. #16863988C22semidirect
61. #16863981C22semidirect
62. #16863968C22semidirect
63. #16863967C22semidirect
64. C2×#14524042C22semidirect
65. C2×#14524042C22semidirect
66. C2×#14524042C22semidirect
67. C2×#14524041C22semidirect
68. C2×#14524041C22semidirect
69. C2×#14524041C22semidirect
70. C2×#14524037C22semidirect
71. C2×#14524036C22semidirect
72. C2×#14524036C22semidirect
73. C2×#14524036C22semidirect
74. C2×#14524036C22semidirect
75. C2×#14524036C22semidirect
76. C2×#14524036C22semidirect
77. C2×#14524036C22semidirect
78. C2×#14524036C22semidirect
79. C2×#14524036C22semidirect
80. C2×#14524036C22semidirect
81. C2×#14524036C22semidirect
82. C2×#14524035C22semidirect
83. C2×#14524035C22semidirect
84. C2×#14524034C22semidirect
85. C2×#14524033C22semidirect
86. C2×#14524033C22semidirect
87. C2×#14524033C22semidirect
88. C2×#14524033C22semidirect
89. C2×#14524033C22semidirect
90. C2×#14524033C22semidirect
91. C2×#14524033C22semidirect
93. C2×#14524030C22semidirect
94. C2×#14524030C22semidirect
95. C2×#14524030C22semidirect
96. C2×#14524029C22semidirect
97. C2×#14524029C22semidirect
98. C2×#14524029C22semidirect
99. #16863902C22semidirect
101. C2×#14524027C22semidirect
102. C2×#14524026C22semidirect
103. C2×#14524026C22semidirect
104. C2×#14524026C22semidirect
105. C2×#14524025C22semidirect
106. C2×#14524025C22semidirect
107. C2×#14524025C22semidirect
108. C2×#14524025C22semidirect
120. C2×#14524024C22semidirect
121. C2×#14524024C22semidirect
122. C2×#14524024C22semidirect
123. C2×#14524024C22semidirect
124. C2×#14524024C22semidirect
125. C2×#14524024C22semidirect
126. C2×#14524024C22semidirect
128. C2×#14524022C22semidirect
129. C2×#14524022C22semidirect
130. C2×#14524022C22semidirect
131. C2×#14524022C22semidirect
132. C2×#14524022C22semidirect
133. C2×#14524022C22semidirect
134. C2×#14524022C22semidirect
135. C2×#14524022C22semidirect
136. C2×#14524021C22semidirect
137. C2×#14524021C22semidirect
138. C2×#14524021C22semidirect
146. C2×#14524020C22semidirect
147. C2×#14524020C22semidirect
148. C2×#14524020C22semidirect
149. C2×#14524020C22semidirect
150. C2×#14524020C22semidirect
151. C2×#14524020C22semidirect
152. C2×#14524020C22semidirect
153. C2×#14524020C22semidirect
154. C2×#14524020C22semidirect
155. C2×#14524020C22semidirect
156. C2×#14524020C22semidirect
157. C2×#14524020C22semidirect
158. C2×#14524020C22semidirect
159. C2×#14524020C22semidirect
160. C2×#14524019C22semidirect
164. C2×#14524015C22semidirect
165. C2×#14524015C22semidirect
167. C2×#14524014C22semidirect
170. C2×C4×Dic134C22semidirect
171. C2×#14524008C22semidirect
175. C2×D4×Dic67C22semidirect
176. C2×D4×Dic67C22semidirect
177. C2×D4×Dic67C22semidirect
179. C2×C4×C22⋊D67C22semidirect
180. C2×C4×C22⋊D67C22semidirect
183. C2×(C22⋊D67)⋊C4C22semidirect
184. C2×#14524002C22semidirect
185. C2×#14524002C22semidirect
188. C2×#14523999C22semidirect
189. C2×#14523999C22semidirect
190. C2×#14523999C22semidirect
191. C22×C4⋊Dic67C22semidirect
194. C22×Dic67⋊C4C22semidirect
195. C22×Dic67⋊C4C22semidirect
196. C22×Dic67⋊C4C22semidirect
197. C2×C4⋊C4×D67C22semidirect
205. #546×C67C22semidirect
222. C2×#11761627C23semidirect
232. C22×Dic134C23semidirect
258. #14524042C23semidirect
259. #14524042C23semidirect
260. #14524042C23semidirect
261. #14524041C23semidirect
262. #14524041C23semidirect
263. #14524041C23semidirect
264. #14524037C23semidirect
265. #14524036C23semidirect
266. #14524036C23semidirect
267. #14524036C23semidirect
268. #14524036C23semidirect
269. #14524036C23semidirect
270. #14524036C23semidirect
271. #14524036C23semidirect
272. #14524036C23semidirect
273. #14524036C23semidirect
274. #14524036C23semidirect
275. #14524036C23semidirect
276. #14524035C23semidirect
277. #14524035C23semidirect
278. #14524034C23semidirect
279. #14524033C23semidirect
280. #14524033C23semidirect
281. #14524033C23semidirect
282. #14524033C23semidirect
283. #14524033C23semidirect
284. #14524033C23semidirect
285. #14524033C23semidirect
287. #14524030C23semidirect
288. #14524030C23semidirect
289. #14524030C23semidirect
290. #14524029C23semidirect
291. #14524029C23semidirect
292. #14524029C23semidirect
294. #14524027C23semidirect
295. #14524026C23semidirect
296. #14524026C23semidirect
297. #14524026C23semidirect
298. #14524025C23semidirect
299. #14524025C23semidirect
300. #14524025C23semidirect
301. #14524025C23semidirect
313. #14524024C23semidirect
314. #14524024C23semidirect
315. #14524024C23semidirect
316. #14524024C23semidirect
317. #14524024C23semidirect
318. #14524024C23semidirect
320. #14524022C23semidirect
321. #14524022C23semidirect
322. #14524022C23semidirect
323. #14524022C23semidirect
324. #14524022C23semidirect
325. #14524022C23semidirect
326. #14524022C23semidirect
327. #14524022C23semidirect
328. #14524021C23semidirect
329. #14524021C23semidirect
330. #14524021C23semidirect
338. #14524020C23semidirect
339. #14524020C23semidirect
340. #14524020C23semidirect
341. #14524020C23semidirect
342. #14524020C23semidirect
343. #14524020C23semidirect
344. #14524020C23semidirect
345. #14524020C23semidirect
346. #14524020C23semidirect
347. #14524020C23semidirect
348. #14524020C23semidirect
349. #14524020C23semidirect
350. #14524020C23semidirect
351. #14524019C23semidirect
355. #14524015C23semidirect
356. #14524015C23semidirect
358. #14524014C23semidirect
361. C4×Dic134C23semidirect
362. #14524008C23semidirect
366. D4×Dic67C23semidirect
367. D4×Dic67C23semidirect
368. D4×Dic67C23semidirect
370. C4×C22⋊D67C23semidirect
371. C4×C22⋊D67C23semidirect
374. (C22⋊D67)⋊C4C23semidirect
375. #14524002C23semidirect
376. #14524002C23semidirect
379. #14523999C23semidirect
380. #14523999C23semidirect
381. #14523999C23semidirect
394. C2×C4⋊Dic67C23semidirect
431. C2×Dic67⋊C4C23semidirect
432. C2×Dic67⋊C4C23semidirect
433. C2×Dic67⋊C4C23semidirect
434. C4⋊C4×D67C23semidirect
977. C2×C67#3535semidirect
998. C2×#546D67semidirect
1014. C67C2×#3535semidirect
1036. #546C2×D67semidirect
1959. C2#22574406direct (N × H)

Maximal subgroups

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

subgroupindex
#225744062
C2×#168641492
C2×#168641462
C2×#168641412
C2×#168641052
C2×#168641002
C2×#168640862
C2×#168640832
C2×#168640772
C2×#168640722
C2×#168640462
C2×#168640452
C2×#168640402
C2×#168640252
C2×#168640222
C2×#168640132
C2×#168640102
C2×#168639912
C2×#168639892
C2×#168639882
C2×#168639812
C2×#168639682
C2×#168639672
C2×#168639022
C22×#145240242
C22×#145240202
C2×#546×C672
C2×#353567