Finite Group Databasebeta

← C2×#22574863 #31763369

Subgroups — C2×#22574863 #31763369

Order 17152.

6694 conjugacy classes of subgroups.

The subgroup lattice has 1904 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22574863C2132yesmaximal, direct product factor
2C2×#16864145C211yesmaximal, characteristic, complemented
3C2×#16864141C211yesmaximal, characteristic, complemented
4C2×#16864140C211yesmaximal, characteristic, complemented
5C2×#16864134C211yesmaximal, characteristic, complemented
6C2×#16864128C211yesmaximal, characteristic, complemented
7C2×#16864115C211yesmaximal, characteristic, complemented
8C2×#16864095C211yesmaximal, characteristic, complemented
9C2×#16864089C211yesmaximal, characteristic, complemented
10C2×#16864089C211yesmaximal, characteristic, complemented
11C2×#16864079C211yesmaximal, characteristic, complemented
12C2×#16864079C211yesmaximal, characteristic, complemented
13C2×#16864079C211yesmaximal, characteristic, complemented
14C2×#16864076C211yesmaximal, characteristic, complemented
15C2×#16864075C211yesmaximal, characteristic, complemented
16C2×#16864070C211yesmaximal, characteristic, complemented
17C2×#16864017C211yesmaximal, characteristic, complemented
18C2×#16864015C211yesmaximal, characteristic, complemented
19C2×#16864010C211yesmaximal, characteristic, complemented
20C2×#16864008C211yesmaximal, characteristic, complemented
21C2×#16864007C211yesmaximal, characteristic, complemented
22C2×#16863996C211yesmaximal, characteristic, complemented
23C2×#16863991C211yesmaximal, characteristic, complemented
24C2×#16863988C211yesmaximal, characteristic, complemented
25C2×#16863988C211yesmaximal, characteristic, complemented
26C2×#16863983C211yesmaximal, characteristic, complemented
27C2×#16863980C211yesmaximal, characteristic, complemented
28C2×#16863978C211yesmaximal, characteristic, complemented
29C2×#16863925C211yesmaximal, characteristic, complemented
30C2×#16863924C211yesmaximal, characteristic, complemented
31C2×#16863924C211yesmaximal, characteristic, complemented
32C2×#555×C67C211yesmaximal, characteristic, complemented
33#16864145C22116yescomplemented
34#16864141C22116yescomplemented
35#16864140C22116yescomplemented
36#16864134C22116yescomplemented
37#16864128C22116yescomplemented
38#16864115C22116yescomplemented
39#16864095C22116yescomplemented
40#16864089C22116yescomplemented
41#16864089C22116yescomplemented
42#16864079C22116yescomplemented
43#16864079C22116yescomplemented
44#16864079C22116yescomplemented
45#16864076C22116yescomplemented
46#16864075C22116yescomplemented
47#16864070C22116yescomplemented
48#16864017C22116yescomplemented
49#16864015C22116yescomplemented
50#16864010C22116yescomplemented
51#16864008C22116yescomplemented
52#16864007C22116yescomplemented
53#16863996C22116yescomplemented
54#16863991C22116yescomplemented
55#16863988C22116yescomplemented
56#16863988C22116yescomplemented
57#16863983C22116yescomplemented
58#16863980C22116yescomplemented
59#16863978C22116yescomplemented
60C2×#14524043C2211yescharacteristic, complemented
61C2×#14524041C2211yescharacteristic, complemented
62C2×#14524039C2211yescharacteristic
63#16863925C22116yescomplemented
64#16863924C22116yescomplemented
65#16863924C22116yescomplemented
66C2×#14524038C2211yescharacteristic
67C2×#14524038C2211yescharacteristic
68C2×#14524038C2211yescharacteristic
69C2×#14524038C2211yescharacteristic
70C2×#14524038C2211yescharacteristic
71C2×#14524038C2211yescharacteristic
72C2×#14524038C2211yescharacteristic, complemented
73C2×#14524037C2211yescharacteristic
74C2×#14524037C2211yescharacteristic
75C2×#14524037C2211yescharacteristic
76C2×#14524037C2211yescharacteristic, complemented
77C2×#14524036C2211yescharacteristic
78C2×#14524036C2211yescharacteristic
79C2×#14524036C2211yescharacteristic
80C2×#14524036C2211yescharacteristic
81C2×#14524036C2211yescharacteristic
82C2×#14524036C2211yescharacteristic, complemented
83C2×#14524036C2211yescharacteristic, complemented
84C2×#14524036C2211yescharacteristic, complemented
85C2×#14524036C2211yescharacteristic, complemented
86C2×#14524035C2211yescharacteristic, complemented
87C2×#14524035C2211yescharacteristic, complemented
88C2×#14524035C2211yescharacteristic, complemented
89C2×#14524033C2211yescharacteristic, complemented
90C2×#14524033C2211yescharacteristic, complemented
91C2×#14524033C2211yescharacteristic, complemented
92C2×#14524033C2211yescharacteristic, complemented
93C2×#14524033C2211yescharacteristic, complemented
94C2×#14524033C2211yescharacteristic, complemented
95C2×#14524033C2211yescharacteristic, complemented
96C2×#14524033C2211yescharacteristic, complemented
97C2×#14524033C2211yescharacteristic, complemented
98C2×#14524032C2211yescharacteristic
99C2×#14524031C2211yescharacteristic
100C2×#14524030C2211yescharacteristic
101C2×#14524029C2211yescharacteristic
102C2×#14524029C2211yescharacteristic
103C2×#14524029C2211yescharacteristic
104C2×#14524029C2211yescharacteristic
105C2×#14524029C2211yescharacteristic, complemented
106C2×#14524028C2211yescharacteristic
107C2×#14524028C2211yescharacteristic
108C2×#14524028C2211yescharacteristic
109C2×#14524027C2211yescharacteristic
110C2×#14524027C2211yescharacteristic
111C2×#14524027C2211yescharacteristic
112C2×#14524027C2211yescharacteristic
113C2×#14524027C2211yescharacteristic, complemented
114C2×#14524026C2211yescharacteristic
115C2×#14524026C2211yescharacteristic
116C2×#14524026C2211yescharacteristic
117C2×#14524026C2211yescharacteristic
118C2×#14524025C2211yescharacteristic
119C2×#14524025C2211yescharacteristic
120C2×#14524025C2211yescharacteristic
121C2×#14524025C2211yescharacteristic
122C2×#14524025C2211yescharacteristic, complemented
123C2×#14524025C2211yescharacteristic, complemented
124C2×#14524025C2211yescharacteristic, complemented
125C2×#14524024C2211yescharacteristic
126C2×#14524024C2211yescharacteristic
127C2×#14524024C2211yescharacteristic
128C2×#14524024C2211yescharacteristic, complemented
129C2×#14524024C2211yescharacteristic, complemented
130C2×#14524022C2211yescharacteristic
131C2×#14524022C2211yescharacteristic
132C2×#14524022C2211yescharacteristic, complemented
133C2×#14524021C2211yescharacteristic
134C2×#14524021C2211yescharacteristic
135C2×#14524021C2211yescharacteristic
136C2×#14524021C2211yescharacteristic, complemented
137C2×#14524021C2211yescharacteristic, complemented
138C2×#14524020C2211yescharacteristic
139C2×#14524020C2211yescharacteristic, complemented
140C2×#14524020C2211yescharacteristic, complemented
141C2×#14524020C2211yescharacteristic, complemented
142C2×#14524020C2211yescharacteristic, complemented
143C2×#14524020C2211yescharacteristic, complemented
144C2×#14524019C2211yescharacteristic
145C2×#14524019C2211yescharacteristic
146C2×#14524019C2211yescharacteristic
147C2×#14524019C2211yescharacteristic, complemented
148C2×#14524017C2211yescharacteristic
149C2×#14524016C2211yescharacteristic
150C2×#14524016C2211yescharacteristic
151C2×#14524016C2211yescharacteristic
152C2×#14524015C2211yescharacteristic
153C2×#14524015C2211yescharacteristic
154C2×#14524015C2211yescharacteristic
155C2×#14524015C2211yescharacteristic
156C2×#14524015C2211yescharacteristic
157C2×#14524015C2211yescharacteristic
158C2×#14524015C2211yescharacteristic, complemented
159C2×#14524015C2211yescharacteristic, complemented
160C2×#14524014C2211yescharacteristic
161C2×#14524014C2211yescharacteristic
162C2×#14524013C2211yescharacteristic
163C2×#14524011C2211yescharacteristic
164C2×#14524011C2211yescharacteristic
165C2×#14524011C2211yescharacteristic
166C2×Q8×Dic67C2211yescharacteristic, complemented
167C2×Q8×Dic67C2211yescharacteristic, complemented
168C2×C4×Dic134C2211yescharacteristic, complemented
169C2×C4×Dic134C2211yescharacteristic, complemented
170C2×C4×Dic134C2211yescharacteristic, complemented
171C2×C4×Dic134C2211yescharacteristic, complemented
172C2×C4×D268C2211yescharacteristic
173C2×C4×D268C2211yescharacteristic
174C2×D4×Dic67C2211yescharacteristic
175C2×D4×Dic67C2211yescharacteristic
176C2×D4×Dic67C2211yescharacteristic, complemented
177C2×D4×Dic67C2211yescharacteristic, complemented
178C2×C4×C22⋊D67C2211yescharacteristic
179C2×C4×C22⋊D67C2211yescharacteristic
180C2×C4×C22⋊D67C2211yescharacteristic, complemented
181C2×C4×C22⋊D67C2211yescharacteristic, complemented
182C2×(C22⋊D67)⋊C4C2211yescharacteristic
183C2×(C22⋊D67)⋊C4C2211yescharacteristic
184C2×(C22⋊D67)⋊C4C2211yescharacteristic
185C2×(C22⋊D67)⋊C4C2211yescharacteristic
186C2×(C22⋊D67)⋊C4C2211yescharacteristic
187C2×(C22⋊D67)⋊C4C2211yescharacteristic, complemented
188C2×#14524000C2211yescharacteristic
189C2×#14524000C2211yescharacteristic
190C2×#14524000C2211yescharacteristic
191C2×#14524000C2211yescharacteristic
192C2×#14523999C2211yescharacteristic
193C2×#14523999C2211yescharacteristic, complemented
194C2×#14523999C2211yescharacteristic, complemented
195C2×#14523999C2211yescharacteristic, complemented
196C22×Dic67⋊C4C2211yescharacteristic, complemented
197C22×Dic67⋊C4C2211yescharacteristic, complemented
198C22×Dic67⋊C4C2211yescharacteristic, complemented
199C22×(C2×D67)⋊C4C2211yescharacteristic
200C2×C22⋊C4×D67C2211yescharacteristic
201C2×C22⋊C4×D67C2211yescharacteristic
202C2×C42×D67C2211yescharacteristic, complemented
203#555×C67C22116yescomplemented
204C2×C4⋊Q8×C67C2211yescharacteristic, complemented
205C2×#124×C67C2211yescharacteristic
206C2×#124×C67C2211yescharacteristic
207C2×#124×C67C2211yescharacteristic, complemented
208C2×#124×C67C2211yescharacteristic, complemented
209C2×#121×C67C2211yescharacteristic
210C2×#121×C67C2211yescharacteristic
211C2×#121×C67C2211yescharacteristic
212C2×#121×C67C2211yescharacteristic, complemented
213C2×C4×D4×C67C2211yescharacteristic
214C2×C4×D4×C67C2211yescharacteristic, complemented
215C2×#117×C67C2211yescharacteristic
216C2×#117×C67C2211yescharacteristic, complemented
217C2×#117×C67C2211yescharacteristic, complemented
218C2×#117×C67C2211yescharacteristic, complemented
219C24×D67C2311yescharacteristic
220C22×Dic134C2311yescharacteristic
221C22×Dic134C2311yescharacteristic
222C22×Dic134C2311yescharacteristic
223C22×Dic134C2311yescharacteristic
224C22×D268C2311yescharacteristic
225C22×D268C2311yescharacteristic
226C22×C22⋊D67C2311yescharacteristic
227C22×C22⋊D67C2311yescharacteristic
228C22×C22⋊D67C2311yescharacteristic
229C22×C22⋊D67C2311yescharacteristic
230C22×C22⋊D67C2311yescharacteristic
231C22×C22⋊D67C2311yescharacteristic
232C22×C22⋊D67C2311yescharacteristic
233C22×C22⋊D67C2311yescharacteristic
234C22×C22⋊D67C2311yescharacteristic
235C22×C22⋊D67C2311yescharacteristic
236C23×Dic67C2311yescharacteristic
237C23×Dic67C2311yescharacteristic
238C23×Dic67C2311yescharacteristic
239C23×Dic67C2311yescharacteristic
240C23×Dic67C2311yescharacteristic
241C23×Dic67C2311yescharacteristic
242C23×Dic67C2311yescharacteristic
243C22×C4×D67C2311yescharacteristic
244C22×C4×D67C2311yescharacteristic
245C22×C4×D67C2311yescharacteristic
246C22×C4×D67C2311yescharacteristic
247C22×C4×D67C2311yescharacteristic
248C22×C4×D67C2311yescharacteristic
249C22×C4×D67C2311yescharacteristic
250#14524043C2318yescomplemented
251#14524041C2318yescomplemented
252#14524039C2318yes—
253#14524038C2318yes—
254#14524038C2318yes—
255#14524038C2318yes—
256#14524038C2318yes—
257#14524038C2318yes—
258#14524038C2318yes—
259#14524038C2318yescomplemented
260#14524037C2318yes—
261#14524037C2318yes—
262#14524037C2318yes—
263#14524037C2318yescomplemented
264#14524036C2318yes—
265#14524036C2318yes—
266#14524036C2318yes—
267#14524036C2318yes—
268#14524036C2318yes—
269#14524036C2318yescomplemented
270#14524036C2318yescomplemented
271#14524036C2318yescomplemented
272#14524036C2318yescomplemented
273#14524035C2318yescomplemented
274#14524035C2318yescomplemented
275#14524035C2318yescomplemented
276#14524033C2318yescomplemented
277#14524033C2318yescomplemented
278#14524033C2318yescomplemented
279#14524033C2318yescomplemented
280#14524033C2318yescomplemented
281#14524033C2318yescomplemented
282#14524033C2318yescomplemented
283#14524033C2318yescomplemented
284#14524033C2318yescomplemented
285#14524032C2318yes—
286#14524031C2318yes—
287#14524030C2318yes—
288#14524029C2318yes—
289#14524029C2318yes—
290#14524029C2318yes—
291#14524029C2318yes—
292#14524029C2318yescomplemented
293#14524028C2318yes—
294#14524028C2318yes—
295#14524028C2318yes—
296#14524027C2318yes—
297#14524027C2318yes—
298#14524027C2318yes—
299#14524027C2318yes—
300#14524027C2318yescomplemented
301#14524026C2318yes—
302#14524026C2318yes—
303#14524026C2318yes—
304#14524026C2318yes—
305#14524025C2318yes—
306#14524025C2318yes—
307#14524025C2318yes—
308#14524025C2318yes—
309#14524025C2318yescomplemented
310#14524025C2318yescomplemented
311#14524025C2318yescomplemented
312#14524024C2318yes—
313#14524024C2318yes—
314#14524024C2318yes—
315#14524024C2318yescomplemented
316#14524024C2318yescomplemented
317#14524022C2318yes—
318#14524022C2318yes—
319#14524022C2318yescomplemented
320#14524021C2318yes—
321#14524021C2318yes—
322#14524021C2318yes—
323#14524021C2318yescomplemented
324#14524021C2318yescomplemented
325#14524020C2318yes—
326#14524020C2318yescomplemented
327#14524020C2318yescomplemented
328#14524020C2318yescomplemented
329#14524020C2318yescomplemented
330#14524020C2318yescomplemented
331#14524019C2318yes—
332#14524019C2318yes—
333#14524019C2318yes—
334#14524019C2318yescomplemented
335#14524017C2318yes—
336#14524016C2318yes—
337#14524016C2318yes—
338#14524016C2318yes—
339#14524015C2318yes—
340#14524015C2318yes—
341#14524015C2318yes—
342#14524015C2318yes—
343#14524015C2318yes—
344#14524015C2318yes—
345#14524015C2318yescomplemented
346#14524015C2318yescomplemented
347#14524014C2318yes—
348#14524014C2318yes—
349#14524013C2318yes—
350#14524011C2318yes—
351#14524011C2318yes—
352#14524011C2318yes—
353Q8×Dic67C2318yescomplemented
354Q8×Dic67C2318yescomplemented
355C4×Dic134C2318yescomplemented
356C4×Dic134C2318yescomplemented
357C4×Dic134C2318yescomplemented
358C4×Dic134C2318yescomplemented
359C4×D268C2318yes—
360C4×D268C2318yes—
361D4×Dic67C2318yes—
362D4×Dic67C2318yes—
363D4×Dic67C2318yescomplemented
364D4×Dic67C2318yescomplemented
365C4×C22⋊D67C2318yes—
366C4×C22⋊D67C2318yes—
367C4×C22⋊D67C2318yescomplemented
368C4×C22⋊D67C2318yescomplemented
369(C22⋊D67)⋊C4C2318yes—
370(C22⋊D67)⋊C4C2318yes—
371(C22⋊D67)⋊C4C2318yes—
372(C22⋊D67)⋊C4C2318yes—
373(C22⋊D67)⋊C4C2318yes—
374(C22⋊D67)⋊C4C2318yescomplemented
375#14524000C2318yes—
376#14524000C2318yes—
377#14524000C2318yes—
378#14524000C2318yes—
379#14523999C2318yes—
380#14523999C2318yescomplemented
381#14523999C2318yescomplemented
382#14523999C2318yescomplemented
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⋊Dic67C2311yescharacteristic
395C2×Dic67⋊C4C2311yescharacteristic
396C2×Dic67⋊C4C2311yescharacteristic
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⋊C4C2318yescomplemented
426C2×Dic67⋊C4C2318yescomplemented
427C2×Dic67⋊C4C2318yescomplemented
428C2×C22⋊Dic67C2311yescharacteristic
429C2×C22⋊Dic67C2311yescharacteristic
430C2×C22⋊Dic67C2311yescharacteristic
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×(C2×D67)⋊C4C2318yes—
443C2×(C2×D67)⋊C4C2311yescharacteristic
444C2×(C2×D67)⋊C4C2311yescharacteristic
445C2×(C2×D67)⋊C4C2311yescharacteristic
446C2×(C2×D67)⋊C4C2311yescharacteristic
447C2×(C2×D67)⋊C4C2311yescharacteristic
448C2×(C2×D67)⋊C4C2311yescharacteristic
449C2×(C2×D67)⋊C4C2311yescharacteristic
450C2×(C2×D67)⋊C4C2311yescharacteristic
451C2×(C2×D67)⋊C4C2311yescharacteristic
452C2×(C2×D67)⋊C4C2311yescharacteristic
453C2×(C2×D67)⋊C4C2311yescharacteristic
454C2×(C2×D67)⋊C4C2311yescharacteristic
455C2×(C2×D67)⋊C4C2311yescharacteristic
456C2×(C2×D67)⋊C4C2311yescharacteristic
457C2×(C2×D67)⋊C4C2311yescharacteristic
458C2×(C2×D67)⋊C4C2311yescharacteristic
459C2×(C2×D67)⋊C4C2311yescharacteristic
460C2×(C2×D67)⋊C4C2311yescharacteristic
461C2×(C2×D67)⋊C4C2311yescharacteristic
462C2×(C2×D67)⋊C4C2311yescharacteristic
463C2×(C2×D67)⋊C4C2311yescharacteristic
464C2×(C2×D67)⋊C4C2311yescharacteristic
465C22⋊C4×D67C2318yes—
466C22⋊C4×D67C2318yes—
467C2×C4×Dic67C2311yescharacteristic
468C2×C4×Dic67C2311yescharacteristic
469C2×C4×Dic67C2311yescharacteristic
470C2×C4×Dic67C2311yescharacteristic
471C2×C4×Dic67C2311yescharacteristic
472C2×C4×Dic67C2311yescharacteristic
473C2×C4×Dic67C2311yescharacteristic
474C2×C4×Dic67C2311yescharacteristic
475C2×C4×Dic67C2311yescharacteristic
476C2×C4×Dic67C2311yescharacteristic
477C2×C4×Dic67C2311yescharacteristic
478C42×D67C2318yescomplemented
479C22×Q8×C67C2311yescharacteristic
480C22×Q8×C67C2311yescharacteristic
481C22×D4×C67C2311yescharacteristic
482C22×D4×C67C2311yescharacteristic
483C22×D4×C67C2311yescharacteristic
484C22×D4×C67C2311yescharacteristic
485C22×D4×C67C2311yescharacteristic
486C22×D4×C67C2311yescharacteristic
487C23×C4×C67C2311yescharacteristic
488C23×C4×C67C2311yescharacteristic
489C23×C4×C67C2311yescharacteristic
490C23×C4×C67C2311yescharacteristic
491C4⋊Q8×C67C2318yescomplemented
492#124×C67C2318yes—
493#124×C67C2318yes—
494#124×C67C2318yescomplemented
495#124×C67C2318yescomplemented
496#121×C67C2318yes—
497#121×C67C2318yes—
498#121×C67C2318yes—
499#121×C67C2318yescomplemented
500C4×D4×C67C2318yes—
501C4×D4×C67C2318yescomplemented
502#117×C67C2318yes—
503#117×C67C2318yescomplemented
504#117×C67C2318yescomplemented
505#117×C67C2318yescomplemented
506C2×C4⋊C4×C67C2311yescharacteristic
507C2×C4⋊C4×C67C2311yescharacteristic
508C2×C4⋊C4×C67C2311yescharacteristic
509C2×C4⋊C4×C67C2311yescharacteristic
510C2×C4⋊C4×C67C2311yescharacteristic
511C2×C4⋊C4×C67C2311yescharacteristic
512C2×C22⋊C4×C67C2311yescharacteristic
513C2×C22⋊C4×C67C2311yescharacteristic
514C2×C22⋊C4×C67C2311yescharacteristic
515C2×C22⋊C4×C67C2311yescharacteristic
516C2×C22⋊C4×C67C2311yescharacteristic
517C2×C22⋊C4×C67C2311yescharacteristic
518C2×C22⋊C4×C67C2311yescharacteristic
519C2×C22⋊C4×C67C2311yescharacteristic
520C2×C22⋊C4×C67C2311yescharacteristic
521C2×C22⋊C4×C67C2311yescharacteristic
522C2×C22⋊C4×C67C2311yescharacteristic
523C2×C22⋊C4×C67C2311yescharacteristic
524C2×C42×C67C2311yescharacteristic
525C2×C42×C67C2311yescharacteristic
526C2×C42×C67C2311yescharacteristic
527C2×C42×C67C2311yescharacteristic
528C2×C42×C67C2311yescharacteristic
529C23×D67—42no—
530C23×D67—42no—
531C23×D67—42no—
532C23×D67C2411yescharacteristic
533C23×D67C2411yescharacteristic
534C23×D67C2411yescharacteristic
535C23×D67C2414yes—
536C2×Dic134—42no—
537C2×Dic134—42no—
538C2×Dic134—42no—
539C2×Dic134—42no—
540C2×Dic134C2414yes—
541C2×Dic134C2414yes—
542C2×Dic134C2414yes—
543C2×Dic134C2414yes—
544C2×D268—42no—
545C2×D268—42no—
546C2×D268C2414yes—
547C2×D268C2414yes—
548C2×C22⋊D67—42no—
549C2×C22⋊D67—42no—
550C2×C22⋊D67—42no—
551C2×C22⋊D67—42no—
552C2×C22⋊D67—42no—
553C2×C22⋊D67—42no—
554C2×C22⋊D67—42no—
555C2×C22⋊D67—42no—
556C2×C22⋊D67—42no—
557C2×C22⋊D67—42no—
558C2×C22⋊D67C2414yes—
559C2×C22⋊D67C2414yes—
560C2×C22⋊D67C2414yes—
561C2×C22⋊D67C2414yes—
562C2×C22⋊D67C2414yes—
563C2×C22⋊D67C2414yes—
564C2×C22⋊D67C2414yes—
565C2×C22⋊D67C2414yes—
566C2×C22⋊D67C2414yes—
567C2×C22⋊D67C2414yes—
568C22×Dic67—42no—
569C22×Dic67—42no—
570C22×Dic67—42no—
571C22×Dic67—42no—
572C22×Dic67—42no—
573C22×Dic67—42no—
574C22×Dic67—42no—
575C22×Dic67C2411yescharacteristic
576C22×Dic67C2411yescharacteristic
577C22×Dic67C2411yescharacteristic
578C22×Dic67C2411yescharacteristic
579C22×Dic67C2411yescharacteristic
580C22×Dic67C2411yescharacteristic
581C22×Dic67C2411yescharacteristic
582C22×Dic67C2411yescharacteristic
583C22×Dic67C2411yescharacteristic
584C22×Dic67C2411yescharacteristic
585C22×Dic67C2411yescharacteristic
586C22×Dic67C2411yescharacteristic
587C22×Dic67C2411yescharacteristic
588C22×Dic67C2414yes—
589C22×Dic67C2414yes—
590C22×Dic67C2414yes—
591C22×Dic67C2414yes—
592C22×Dic67C2414yes—
593C22×Dic67C2414yes—
594C22×Dic67C2414yes—
595C2×C4×D67—42no—
596C2×C4×D67—42no—
597C2×C4×D67—42no—
598C2×C4×D67—42no—
599C2×C4×D67—42no—
600C2×C4×D67—42no—
601C2×C4×D67—42no—
602C2×C4×D67C2414yes—
603C2×C4×D67C2414yes—
604C2×C4×D67C2414yes—
605C2×C4×D67C2414yes—
606C2×C4×D67C2414yes—
607C2×C4×D67C2414yes—
608C2×C4×D67C2414yes—
609C4⋊Dic67C2414yes—
610C4⋊Dic67C2414yes—
611C4⋊Dic67C2414yes—
612C4⋊Dic67C2414yes—
613C4⋊Dic67C2414yes—
614C4⋊Dic67C2414yes—
615C4⋊Dic67C2414yes—
616C4⋊Dic67C2414yes—
617C4⋊Dic67C2414yes—
618C4⋊Dic67C2414yes—
619C4⋊Dic67C2414yes—
620C4⋊Dic67C2414yes—
621Dic67⋊C4C2414yes—
622Dic67⋊C4C2414yes—
623Dic67⋊C4C2414yes—
624Dic67⋊C4C2414yes—
625Dic67⋊C4C2414yes—
626Dic67⋊C4C2414yes—
627Dic67⋊C4C2414yes—
628Dic67⋊C4C2414yes—
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—
651C22⋊Dic67C2414yes—
652C22⋊Dic67C2414yes—
653C22⋊Dic67C2414yes—
654C22⋊Dic67C2414yes—
655C22⋊Dic67C2414yes—
656C22⋊Dic67C2414yes—
657C22⋊Dic67C2414yes—
658C22⋊Dic67C2414yes—
659C22⋊Dic67C2414yes—
660C22⋊Dic67C2414yes—
661C22⋊Dic67C2414yes—
662C22⋊Dic67C2414yes—
663C22⋊Dic67C2414yes—
664C22⋊Dic67C2414yes—
665(C2×D67)⋊C4C2414yes—
666(C2×D67)⋊C4C2414yes—
667(C2×D67)⋊C4C2414yes—
668(C2×D67)⋊C4C2414yes—
669(C2×D67)⋊C4C2414yes—
670(C2×D67)⋊C4C2414yes—
671(C2×D67)⋊C4C2414yes—
672(C2×D67)⋊C4C2414yes—
673(C2×D67)⋊C4C2414yes—
674(C2×D67)⋊C4C2414yes—
675(C2×D67)⋊C4C2414yes—
676(C2×D67)⋊C4C2414yes—
677(C2×D67)⋊C4C2414yes—
678(C2×D67)⋊C4C2414yes—
679(C2×D67)⋊C4C2414yes—
680(C2×D67)⋊C4C2414yes—
681(C2×D67)⋊C4C2414yes—
682(C2×D67)⋊C4C2414yes—
683(C2×D67)⋊C4C2414yes—
684(C2×D67)⋊C4C2414yes—
685(C2×D67)⋊C4C2414yes—
686(C2×D67)⋊C4C2414yes—
687C4×Dic67C2414yes—
688C4×Dic67C2414yes—
689C4×Dic67C2414yes—
690C4×Dic67C2414yes—
691C4×Dic67C2414yes—
692C4×Dic67C2414yes—
693C4×Dic67C2414yes—
694C4×Dic67C2414yes—
695C4×Dic67C2414yes—
696C4×Dic67C2414yes—
697C4×Dic67C2414yes—
698C24×C67C2411yescharacteristic
699C24×C67C2411yescharacteristic
700C24×C67C2411yescharacteristic
701C24×C67C2411yescharacteristic
702C2×Q8×C67—42no—
703C2×Q8×C67—42no—
704C2×Q8×C67C2414yes—
705C2×Q8×C67C2414yes—
706C2×D4×C67—42no—
707C2×D4×C67—42no—
708C2×D4×C67—42no—
709C2×D4×C67—42no—
710C2×D4×C67—42no—
711C2×D4×C67—42no—
712C2×D4×C67C2414yes—
713C2×D4×C67C2414yes—
714C2×D4×C67C2414yes—
715C2×D4×C67C2414yes—
716C2×D4×C67C2414yes—
717C2×D4×C67C2414yes—
718C22×C4×C67—42no—
719C22×C4×C67—42no—
720C22×C4×C67—42no—
721C22×C4×C67—42no—
722C22×C4×C67C2411yescharacteristic
723C22×C4×C67C2411yescharacteristic
724C22×C4×C67C2411yescharacteristic
725C22×C4×C67C2411yescharacteristic
726C22×C4×C67C2411yescharacteristic
727C22×C4×C67C2411yescharacteristic
728C22×C4×C67C2411yescharacteristic
729C22×C4×C67C2411yescharacteristic
730C22×C4×C67C2411yescharacteristic
731C22×C4×C67C2411yescharacteristic
732C22×C4×C67C2411yescharacteristic
733C22×C4×C67C2414yes—
734C22×C4×C67C2414yes—
735C22×C4×C67C2414yes—
736C22×C4×C67C2414yes—
737C4⋊C4×C67C2414yes—
738C4⋊C4×C67C2414yes—
739C4⋊C4×C67C2414yes—
740C4⋊C4×C67C2414yes—
741C4⋊C4×C67C2414yes—
742C4⋊C4×C67C2414yes—
743C22⋊C4×C67C2414yes—
744C22⋊C4×C67C2414yes—
745C22⋊C4×C67C2414yes—
746C22⋊C4×C67C2414yes—
747C22⋊C4×C67C2414yes—
748C22⋊C4×C67C2414yes—
749C22⋊C4×C67C2414yes—
750C22⋊C4×C67C2414yes—
751C22⋊C4×C67C2414yes—
752C22⋊C4×C67C2414yes—
753C22⋊C4×C67C2414yes—
754C22⋊C4×C67C2414yes—
755C42×C67C2414yes—
756C42×C67C2414yes—
757C42×C67C2414yes—
758C42×C67C2414yes—
759C42×C67C2414yes—
760C23×C67—22no—
761C23×C67—22no—
762C23×C67—22no—
763C23×C67—22no—
764C23×C67—22no—
765C23×C67—22no—
766C23×C67—22no—
767C23×C67—22no—
768C23×C67—22no—
769C23×C67—22no—
770C23×C67—22no—
771C23×C67—22no—
772C23×C67C2512yes—
773C23×C67C2512yes—
774C23×C67C2512yes—
775C23×C67C2512yes—
776C23×C67C2511yescharacteristic
777C22×D67—22no—
778C22×D67—22no—
779C22×D67—22no—
780C22×D67—22no—
781C22×D67—22no—
782C22×D67—22no—
783C22×D67—22no—
784C22×D67—22no—
785C22×D67—22no—
786C22×D67—44no—
787C22×D67—44no—
788C22×D67—44no—
789C22×D67—88no—
790C22×D67C2512yes—
791C22×D67C2512yes—
792C22×D67C2512yes—
793Q8×C67—44no—
794Q8×C67—44no—
795D4×C67—44no—
796D4×C67—44no—
797D4×C67—44no—
798D4×C67—44no—
799D4×C67—44no—
800D4×C67—44no—
801C2×C4×C67—22no—
802C2×C4×C67—22no—
803C2×C4×C67—22no—
804C2×C4×C67—22no—
805C2×C4×C67—22no—
806C2×C4×C67—22no—
807C2×C4×C67—22no—
808C2×C4×C67—22no—
809C2×C4×C67—22no—
810C2×C4×C67—22no—
811C2×C4×C67—22no—
812C2×C4×C67—44no—
813C2×C4×C67—44no—
814C2×C4×C67—44no—
815C2×C4×C67—44no—
816C2×C4×C67C2512yes—
817C2×C4×C67C2512yes—
818C2×C4×C67C2512yes—
819C2×C4×C67C2512yes—
820C2×C4×C67C2512yes—
821C2×C4×C67C2512yes—
822C2×C4×C67C2512yes—
823C2×C4×C67C2512yes—
824C2×C4×C67C2512yes—
825C2×C4×C67C2512yes—
826C2×C4×C67C2512yes—
827C22⋊D67—44no—
828C22⋊D67—44no—
829C22⋊D67—44no—
830C22⋊D67—44no—
831C22⋊D67—44no—
832C22⋊D67—44no—
833C22⋊D67—44no—
834C22⋊D67—44no—
835C22⋊D67—44no—
836C22⋊D67—44no—
837C2×Dic67—22no—
838C2×Dic67—22no—
839C2×Dic67—22no—
840C2×Dic67—22no—
841C2×Dic67—22no—
842C2×Dic67—22no—
843C2×Dic67—22no—
844C2×Dic67—22no—
845C2×Dic67—22no—
846C2×Dic67—22no—
847C2×Dic67—22no—
848C2×Dic67—22no—
849C2×Dic67—22no—
850C2×Dic67—44no—
851C2×Dic67—44no—
852C2×Dic67—44no—
853C2×Dic67—44no—
854C2×Dic67—44no—
855C2×Dic67—44no—
856C2×Dic67—44no—
857C2×Dic67C2512yes—
858C2×Dic67C2512yes—
859C2×Dic67C2512yes—
860C2×Dic67C2512yes—
861C2×Dic67C2512yes—
862C2×Dic67C2512yes—
863C2×Dic67C2512yes—
864C2×Dic67C2512yes—
865C2×Dic67C2512yes—
866C2×Dic67C2512yes—
867C2×Dic67C2512yes—
868C2×Dic67C2512yes—
869C2×Dic67C2512yes—
870D268—44no—
871D268—44no—
872C4×D67—44no—
873C4×D67—44no—
874C4×D67—44no—
875C4×D67—44no—
876C4×D67—44no—
877C4×D67—44no—
878C4×D67—44no—
879Dic134—44no—
880Dic134—44no—
881Dic134—44no—
882Dic134—44no—
883C22×C67—22no—
884C22×C67—22no—
885C22×C67—22no—
886C22×C67—22no—
887C22×C67—22no—
888C22×C67—22no—
889C22×C67—22no—
890C22×C67—22no—
891C22×C67—22no—
892C22×C67—22no—
893C22×C67—22no—
894C22×C67—22no—
895C22×C67—44no—
896C22×C67—44no—
897C22×C67—44no—
898C22×C67—44no—
899C22×C67#58512yes—
900C22×C67#58512yes—
901C22×C67#58512yes—
902C22×C67C2611yescharacteristic
903C2×D67—22no—
904C2×D67—22no—
905C2×D67—22no—
906C2×D67—22no—
907C2×D67—22no—
908C2×D67—22no—
909C2×D67—22no—
910C2×D67—22no—
911C2×D67—22no—
912C2×D67—44no—
913C2×D67—44no—
914C2×D67—44no—
915C2×D67—88no—
916C4×C67—22no—
917C4×C67—22no—
918C4×C67—22no—
919C4×C67—22no—
920C4×C67—22no—
921C4×C67—22no—
922C4×C67—22no—
923C4×C67—22no—
924C4×C67—22no—
925C4×C67—22no—
926C4×C67—22no—
927Dic67—22no—
928Dic67—22no—
929Dic67—22no—
930Dic67—22no—
931Dic67—22no—
932Dic67—22no—
933Dic67—22no—
934Dic67—22no—
935Dic67—22no—
936Dic67—22no—
937Dic67—22no—
938Dic67—22no—
939Dic67—22no—
940C2×#3566—671nomaximal, Sylow
941C2×C67—42no—
942C2×C67—42no—
943C2×C67—42no—
944C2×C67—42no—
945C2×C67#356614yescomplemented
946C2×C67C2×#58511yescharacteristic
947C2×C67C2×#58511yescharacteristic
948C2×C67C2×#58511yescharacteristic
949D67—42no—
950D67—42no—
951D67—42no—
952#3566—6732no—
953C2×#563—671no—
954C2×#562—671no—
955C2×#562—671no—
956C2×#560—671no—
957C2×#559—671no—
958C2×#556—671no—
959C2×#555D6711yescharacteristic, complemented
960C2×#553—671no—
961C2×#553—671no—
962C2×#553—671no—
963C2×#552—671no—
964C2×#552—671no—
965C2×#552—671no—
966C2×#551—671no—
967C2×#551—671no—
968C2×#551—671no—
969C2×#542—671no—
970C2×#542—671no—
971C2×#542—671no—
972C2×#541—671no—
973C2×#541—671no—
974C2×#540—671no—
975C2×#539—671no—
976C2×#539—671no—
977C2×#539—671no—
978C2×#538—671no—
979C2×#538—671no—
980C2×#538—671no—
981C2×#529—671no—
982C2×#529—671no—
983C2×#529—671no—
984C67C2×#356611yescharacteristic, complemented, Sylow
985#563—6716no—
986#562—6716no—
987#562—6716no—
988#560—6716no—
989#559—6716no—
990#556—6716no—
991#555C2×D67116yescomplemented
992#553—6716no—
993#553—6716no—
994#553—6716no—
995#552—6716no—
996#552—6716no—
997#552—6716no—
998#551—6716no—
999#551—6716no—
1000#551—6716no—
1001#542—6716no—
1002#542—6716no—
1003#542—6716no—
1004#541—6716no—
1005#541—6716no—
1006#540—6716no—
1007#539—6716no—
1008#539—6716no—
1009#539—6716no—
1010#538—6716no—
1011#538—6716no—
1012#538—6716no—
1013C2×C4⋊Q8—671no—
1014C2×C4⋊Q8—671no—
1015C2×C4⋊Q8C2×D6711yescharacteristic, complemented
1016C2×#127—671no—
1017#529—6716no—
1018#529—6716no—
1019#529—6716no—
1020C2×#126—671no—
1021C2×#126—671no—
1022C2×#126—671no—
1023C2×#126—671no—
1024C2×#126—671no—
1025C2×#126—671no—
1026C2×#126—671no—
1027C2×#126—671no—
1028C2×#126—671no—
1029C2×#126—671no—
1030C2×#126—671no—
1031C2×#126—671no—
1032C2×#126—671no—
1033C2×#126—671no—
1034C2×#126—671no—
1035C2×#126—671no—
1036C2×#126—671no—
1037C2×#126—671no—
1038C2×#126—671no—
1039C2×#126—671no—
1040C2×#125—671no—
1041C2×#125—671no—
1042C2×#125—671no—
1043C2×#125—671no—
1044C2×#125—671no—
1045C2×#125—671no—
1046C2×#125—671no—
1047C2×#125—671no—
1048C2×#125—671no—
1049C2×#125—671no—
1050C2×#125—671no—
1051C2×#125—671no—
1052C2×#124—671no—
1053C2×#124—671no—
1054C2×#124—671no—
1055C2×#124—671no—
1056C2×#124—671no—
1057C2×#124—671no—
1058C2×#124—671no—
1059C2×#124—671no—
1060C2×#124C2×D6711yescharacteristic
1061C2×#124C2×D6711yescharacteristic
1062C2×#124C2×D6711yescharacteristic, complemented
1063C2×#124C2×D6711yescharacteristic, complemented
1064C2×#123—671no—
1065C2×#123—671no—
1066C2×#123—671no—
1067C2×#123—671no—
1068C2×#123—671no—
1069C2×#123—671no—
1070C2×#123—671no—
1071C2×#123—671no—
1072C2×#123—671no—
1073C2×#123—671no—
1074C2×#123—671no—
1075C2×#123—671no—
1076C2×#123—671no—
1077C2×#123—671no—
1078C2×#123—671no—
1079C2×#123—671no—
1080C2×#123—671no—
1081C2×#123—671no—
1082C2×#123—671no—
1083C2×#123—671no—
1084C2×#123—671no—
1085C2×#123—671no—
1086C2×#123—671no—
1087C2×#123—671no—
1088C2×C22⋊Q8—671no—
1089C2×C22⋊Q8—671no—
1090C2×C22⋊Q8—671no—
1091C2×C22⋊Q8—671no—
1092C2×C22⋊Q8—671no—
1093C2×C22⋊Q8—671no—
1094C2×C22⋊Q8—671no—
1095C2×C22⋊Q8—671no—
1096C2×C22⋊Q8—671no—
1097C2×C22⋊Q8—671no—
1098C2×C22⋊Q8—671no—
1099C2×C22⋊Q8—671no—
1100C2×C22⋊Q8—671no—
1101C2×C22⋊Q8—671no—
1102C2×C22⋊Q8—671no—
1103C2×C22⋊Q8—671no—
1104C2×C22⋊Q8—671no—
1105C2×C22⋊Q8—671no—
1106C2×#121—671no—
1107C2×#121—671no—
1108C2×#121—671no—
1109C2×#121—671no—
1110C2×#121—671no—
1111C2×#121—671no—
1112C2×#121—671no—
1113C2×#121—671no—
1114C2×#121—671no—
1115C2×#121—671no—
1116C2×#121—671no—
1117C2×#121—671no—
1118C2×#121—671no—
1119C2×#121—671no—
1120C2×#121C2×D6711yescharacteristic
1121C2×#121C2×D6711yescharacteristic
1122C2×#121C2×D6711yescharacteristic
1123C2×#121C2×D6711yescharacteristic, complemented
1124C2×#120—671no—
1125C2×#120—671no—
1126C2×#120—671no—
1127C2×#120—671no—
1128C2×C4×Q8—671no—
1129C2×C4×Q8—671no—
1130C2×C4×Q8—671no—
1131C2×C4×Q8—671no—
1132C2×C4×Q8—671no—
1133C2×C4×Q8—671no—
1134C2×C4×D4—671no—
1135C2×C4×D4—671no—
1136C2×C4×D4—671no—
1137C2×C4×D4—671no—
1138C2×C4×D4—671no—
1139C2×C4×D4—671no—
1140C2×C4×D4—671no—
1141C2×C4×D4—671no—
1142C2×C4×D4—671no—
1143C2×C4×D4—671no—
1144C2×C4×D4—671no—
1145C2×C4×D4—671no—
1146C2×C4×D4—671no—
1147C2×C4×D4—671no—
1148C2×C4×D4—671no—
1149C2×C4×D4—671no—
1150C2×C4×D4C2×D6711yescharacteristic
1151C2×C4×D4C2×D6711yescharacteristic, complemented
1152C2×#117—671no—
1153C2×#117—671no—
1154C2×#117—671no—
1155C2×#117—671no—
1156C2×#117—671no—
1157C2×#117—671no—
1158C2×#117—671no—
1159C2×#117—671no—
1160C2×#117C2×D6711yescharacteristic
1161C2×#117C2×D6711yescharacteristic, complemented
1162C2×#117C2×D6711yescharacteristic, complemented
1163C2×#117C2×D6711yescharacteristic, complemented
1164C22×C4⋊C4—671no—
1165C22×C4⋊C4—671no—
1166C22×C4⋊C4—671no—
1167C22×C22⋊C4—671no—
1168C22×C22⋊C4—671no—
1169C22×C22⋊C4—671no—
1170C22×C42—671no—
1171C25—671no—
1172C22×Q8—671no—
1173C22×Q8—671no—
1174C22×Q8—671no—
1175C22×Q8—671no—
1176C22×Q8C22×D6711yescharacteristic
1177C22×Q8C22×D6711yescharacteristic
1178C22×D4—671no—
1179C22×D4—671no—
1180C22×D4—671no—
1181C22×D4—671no—
1182C22×D4—671no—
1183C22×D4—671no—
1184C22×D4—671no—
1185C22×D4—671no—
1186C22×D4—671no—
1187C22×D4—671no—
1188C22×D4—671no—
1189C22×D4—671no—
1190C22×D4C22×D6711yescharacteristic
1191C22×D4C22×D6711yescharacteristic
1192C22×D4C22×D6711yescharacteristic
1193C22×D4C22×D6711yescharacteristic
1194C22×D4C22×D6711yescharacteristic
1195C22×D4C22×D6711yescharacteristic
1196C23×C4—671no—
1197C23×C4—671no—
1198C23×C4—671no—
1199C23×C4—671no—
1200C23×C4—671no—
1201C23×C4—671no—
1202C23×C4—671no—
1203C23×C4—671no—
1204C23×C4—671no—
1205C23×C4—671no—
1206C23×C4—671no—
1207C23×C4—671no—
1208C23×C4—671no—
1209C23×C4—671no—
1210C23×C4C22×D6711yescharacteristic
1211C23×C4C22×D6711yescharacteristic
1212C23×C4C22×D6711yescharacteristic
1213C23×C4C22×D6711yescharacteristic
1214C4⋊Q8—678no—
1215C4⋊Q8—678no—
1216C4⋊Q8C22×D6718yescomplemented
1217#127—678no—
1218#126—678no—
1219#126—678no—
1220#126—678no—
1221#126—678no—
1222#126—678no—
1223#126—678no—
1224#126—678no—
1225#126—678no—
1226#126—678no—
1227#126—678no—
1228#126—678no—
1229#126—678no—
1230#126—678no—
1231#126—678no—
1232#126—678no—
1233#126—678no—
1234#126—678no—
1235#126—678no—
1236#126—678no—
1237#126—678no—
1238#125—678no—
1239#125—678no—
1240#125—678no—
1241#125—678no—
1242#125—678no—
1243#125—678no—
1244#125—678no—
1245#125—678no—
1246#125—678no—
1247#125—678no—
1248#125—678no—
1249#125—678no—
1250#124—678no—
1251#124—678no—
1252#124—678no—
1253#124—678no—
1254#124—678no—
1255#124—678no—
1256#124—678no—
1257#124—678no—
1258#124C22×D6718yes—
1259#124C22×D6718yes—
1260#124C22×D6718yescomplemented
1261#124C22×D6718yescomplemented
1262#123—678no—
1263#123—678no—
1264#123—678no—
1265#123—678no—
1266#123—678no—
1267#123—678no—
1268#123—678no—
1269#123—678no—
1270#123—678no—
1271#123—678no—
1272#123—678no—
1273#123—678no—
1274#123—678no—
1275#123—678no—
1276#123—678no—
1277#123—678no—
1278#123—678no—
1279#123—678no—
1280#123—678no—
1281#123—678no—
1282#123—678no—
1283#123—678no—
1284#123—678no—
1285#123—678no—
1286C22⋊Q8—678no—
1287C22⋊Q8—678no—
1288C22⋊Q8—678no—
1289C22⋊Q8—678no—
1290C22⋊Q8—678no—
1291C22⋊Q8—678no—
1292C22⋊Q8—678no—
1293C22⋊Q8—678no—
1294C22⋊Q8—678no—
1295C22⋊Q8—678no—
1296C22⋊Q8—678no—
1297C22⋊Q8—678no—
1298C22⋊Q8—678no—
1299C22⋊Q8—678no—
1300C22⋊Q8—678no—
1301C22⋊Q8—678no—
1302C22⋊Q8—678no—
1303C22⋊Q8—678no—
1304#121—678no—
1305#121—678no—
1306#121—678no—
1307#121—678no—
1308#121—678no—
1309#121—678no—
1310#121—678no—
1311#121—678no—
1312#121—678no—
1313#121—678no—
1314#121—678no—
1315#121—678no—
1316#121—678no—
1317#121—678no—
1318#121C22×D6718yes—
1319#121C22×D6718yes—
1320#121C22×D6718yes—
1321#121C22×D6718yescomplemented
1322#120—678no—
1323#120—678no—
1324#120—678no—
1325#120—678no—
1326C4×Q8—678no—
1327C4×Q8—678no—
1328C4×Q8—678no—
1329C4×Q8—678no—
1330C4×Q8—678no—
1331C4×Q8—678no—
1332C4×D4—678no—
1333C4×D4—678no—
1334C4×D4—678no—
1335C4×D4—678no—
1336C4×D4—678no—
1337C4×D4—678no—
1338C4×D4—678no—
1339C4×D4—678no—
1340C4×D4—678no—
1341C4×D4—678no—
1342C4×D4—678no—
1343C4×D4—678no—
1344C4×D4—678no—
1345C4×D4—678no—
1346C4×D4—678no—
1347C4×D4—678no—
1348C4×D4C22×D6718yes—
1349C4×D4C22×D6718yescomplemented
1350#117—678no—
1351#117—678no—
1352#117—678no—
1353#117—678no—
1354#117—678no—
1355#117—678no—
1356#117—678no—
1357#117—678no—
1358#117C22×D6718yes—
1359#117C22×D6718yescomplemented
1360#117C22×D6718yescomplemented
1361#117C22×D6718yescomplemented
1362C2×C4⋊C4—671no—
1363C2×C4⋊C4—671no—
1364C2×C4⋊C4—671no—
1365C2×C4⋊C4—671no—
1366C2×C4⋊C4—671no—
1367C2×C4⋊C4—671no—
1368C2×C4⋊C4—671no—
1369C2×C4⋊C4—671no—
1370C2×C4⋊C4—671no—
1371C2×C4⋊C4—671no—
1372C2×C4⋊C4—671no—
1373C2×C4⋊C4—671no—
1374C2×C4⋊C4—678no—
1375C2×C4⋊C4—678no—
1376C2×C4⋊C4—678no—
1377C2×C4⋊C4—671no—
1378C2×C4⋊C4—671no—
1379C2×C4⋊C4—671no—
1380C2×C4⋊C4—671no—
1381C2×C4⋊C4—671no—
1382C2×C4⋊C4—671no—
1383C2×C4⋊C4—671no—
1384C2×C4⋊C4—671no—
1385C2×C4⋊C4—671no—
1386C2×C4⋊C4—671no—
1387C2×C4⋊C4—671no—
1388C2×C4⋊C4—671no—
1389C2×C4⋊C4—671no—
1390C2×C4⋊C4—671no—
1391C2×C4⋊C4—671no—
1392C2×C4⋊C4—671no—
1393C2×C4⋊C4—671no—
1394C2×C4⋊C4—671no—
1395C2×C4⋊C4—671no—
1396C2×C4⋊C4—671no—
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⋊C4C22×D6711yescharacteristic
1408C2×C4⋊C4C22×D6711yescharacteristic
1409C2×C4⋊C4C22×D6711yescharacteristic
1410C2×C4⋊C4C22×D6711yescharacteristic
1411C2×C4⋊C4C22×D6711yescharacteristic
1412C2×C4⋊C4C22×D6711yescharacteristic
1413C2×C22⋊C4—671no—
1414C2×C22⋊C4—671no—
1415C2×C22⋊C4—671no—
1416C2×C22⋊C4—671no—
1417C2×C22⋊C4—671no—
1418C2×C22⋊C4—671no—
1419C2×C22⋊C4—671no—
1420C2×C22⋊C4—671no—
1421C2×C22⋊C4—671no—
1422C2×C22⋊C4—671no—
1423C2×C22⋊C4—671no—
1424C2×C22⋊C4—671no—
1425C2×C22⋊C4—671no—
1426C2×C22⋊C4—671no—
1427C2×C22⋊C4—671no—
1428C2×C22⋊C4—671no—
1429C2×C22⋊C4—671no—
1430C2×C22⋊C4—671no—
1431C2×C22⋊C4—671no—
1432C2×C22⋊C4—671no—
1433C2×C22⋊C4—671no—
1434C2×C22⋊C4—671no—
1435C2×C22⋊C4—678no—
1436C2×C22⋊C4—671no—
1437C2×C22⋊C4—671no—
1438C2×C22⋊C4—671no—
1439C2×C22⋊C4—671no—
1440C2×C22⋊C4—671no—
1441C2×C22⋊C4—671no—
1442C2×C22⋊C4—671no—
1443C2×C22⋊C4—671no—
1444C2×C22⋊C4—671no—
1445C2×C22⋊C4—671no—
1446C2×C22⋊C4—671no—
1447C2×C22⋊C4—671no—
1448C2×C22⋊C4—671no—
1449C2×C22⋊C4—671no—
1450C2×C22⋊C4—678no—
1451C2×C22⋊C4—678no—
1452C2×C22⋊C4C22×D6711yescharacteristic
1453C2×C22⋊C4C22×D6711yescharacteristic
1454C2×C22⋊C4C22×D6711yescharacteristic
1455C2×C22⋊C4C22×D6711yescharacteristic
1456C2×C22⋊C4C22×D6711yescharacteristic
1457C2×C22⋊C4C22×D6711yescharacteristic
1458C2×C22⋊C4C22×D6711yescharacteristic
1459C2×C22⋊C4C22×D6711yescharacteristic
1460C2×C22⋊C4C22×D6711yescharacteristic
1461C2×C22⋊C4C22×D6711yescharacteristic
1462C2×C22⋊C4C22×D6711yescharacteristic
1463C2×C22⋊C4C22×D6711yescharacteristic
1464C2×C42—671no—
1465C2×C42—671no—
1466C2×C42—671no—
1467C2×C42—671no—
1468C2×C42—671no—
1469C2×C42—671no—
1470C2×C42—671no—
1471C2×C42—671no—
1472C2×C42—671no—
1473C2×C42—671no—
1474C2×C42—671no—
1475C2×C42—678no—
1476C2×C42C22×D6711yescharacteristic
1477C2×C42C22×D6711yescharacteristic
1478C2×C42C22×D6711yescharacteristic
1479C2×C42C22×D6711yescharacteristic
1480C2×C42C22×D6711yescharacteristic
1481C24—2682no—
1482C24—2682no—
1483C24—2682no—
1484C24—674no—
1485C24—671no—
1486C24—671no—
1487C24—671no—
1488C24C23×D6711yescharacteristic
1489C24C23×D6711yescharacteristic
1490C24C23×D6711yescharacteristic
1491C24C23×D6711yescharacteristic
1492C2×Q8—42no—
1493C2×Q8—42no—
1494C2×Q8—2682no—
1495C2×Q8—2682no—
1496C2×Q8—2682no—
1497C2×Q8—2682no—
1498C2×Q8—674no—
1499C2×Q8—674no—
1500C2×Q8—674no—
1501C2×Q8—674no—
1502C2×Q8C23×D6714yes—
1503C2×Q8C23×D6714yes—
1504C2×D4—42no—
1505C2×D4—42no—
1506C2×D4—42no—
1507C2×D4—42no—
1508C2×D4—42no—
1509C2×D4—42no—
1510C2×D4—2682no—
1511C2×D4—2682no—
1512C2×D4—2682no—
1513C2×D4—2682no—
1514C2×D4—2682no—
1515C2×D4—2682no—
1516C2×D4—2682no—
1517C2×D4—2682no—
1518C2×D4—2682no—
1519C2×D4—2682no—
1520C2×D4—2682no—
1521C2×D4—2682no—
1522C2×D4—674no—
1523C2×D4—674no—
1524C2×D4—674no—
1525C2×D4—674no—
1526C2×D4—674no—
1527C2×D4—674no—
1528C2×D4—674no—
1529C2×D4—674no—
1530C2×D4—674no—
1531C2×D4—674no—
1532C2×D4—674no—
1533C2×D4—674no—
1534C2×D4C23×D6714yes—
1535C2×D4C23×D6714yes—
1536C2×D4C23×D6714yes—
1537C2×D4C23×D6714yes—
1538C2×D4C23×D6714yes—
1539C2×D4C23×D6714yes—
1540C22×C4—42no—
1541C22×C4—42no—
1542C22×C4—42no—
1543C22×C4—42no—
1544C22×C4—2682no—
1545C22×C4—2682no—
1546C22×C4—2682no—
1547C22×C4—2682no—
1548C22×C4—2682no—
1549C22×C4—2682no—
1550C22×C4—2682no—
1551C22×C4—2682no—
1552C22×C4—2682no—
1553C22×C4—2682no—
1554C22×C4—2682no—
1555C22×C4—2682no—
1556C22×C4—2682no—
1557C22×C4—2682no—
1558C22×C4—674no—
1559C22×C4—674no—
1560C22×C4—674no—
1561C22×C4—674no—
1562C22×C4—674no—
1563C22×C4—674no—
1564C22×C4—674no—
1565C22×C4—674no—
1566C22×C4—674no—
1567C22×C4—674no—
1568C22×C4—674no—
1569C22×C4—674no—
1570C22×C4—674no—
1571C22×C4—674no—
1572C22×C4—671no—
1573C22×C4—671no—
1574C22×C4—671no—
1575C22×C4—671no—
1576C22×C4—671no—
1577C22×C4—671no—
1578C22×C4—671no—
1579C22×C4—671no—
1580C22×C4—671no—
1581C22×C4—671no—
1582C22×C4—671no—
1583C22×C4—671no—
1584C22×C4—671no—
1585C22×C4C23×D6711yescharacteristic
1586C22×C4C23×D6711yescharacteristic
1587C22×C4C23×D6711yescharacteristic
1588C22×C4C23×D6711yescharacteristic
1589C22×C4C23×D6711yescharacteristic
1590C22×C4C23×D6711yescharacteristic
1591C22×C4C23×D6711yescharacteristic
1592C22×C4C23×D6711yescharacteristic
1593C22×C4C23×D6711yescharacteristic
1594C22×C4C23×D6711yescharacteristic
1595C22×C4C23×D6711yescharacteristic
1596C22×C4C23×D6714yes—
1597C22×C4C23×D6714yes—
1598C22×C4C23×D6714yes—
1599C22×C4C23×D6714yes—
1600C4⋊C4—674no—
1601C4⋊C4—674no—
1602C4⋊C4—674no—
1603C4⋊C4—674no—
1604C4⋊C4—674no—
1605C4⋊C4—674no—
1606C4⋊C4—674no—
1607C4⋊C4—674no—
1608C4⋊C4—674no—
1609C4⋊C4—674no—
1610C4⋊C4—674no—
1611C4⋊C4—674no—
1612C4⋊C4—674no—
1613C4⋊C4—674no—
1614C4⋊C4—674no—
1615C4⋊C4—674no—
1616C4⋊C4—674no—
1617C4⋊C4—674no—
1618C4⋊C4—674no—
1619C4⋊C4—674no—
1620C4⋊C4—674no—
1621C4⋊C4—674no—
1622C4⋊C4—674no—
1623C4⋊C4—674no—
1624C4⋊C4—674no—
1625C4⋊C4—674no—
1626C4⋊C4—674no—
1627C4⋊C4—674no—
1628C4⋊C4—674no—
1629C4⋊C4—674no—
1630C4⋊C4—674no—
1631C4⋊C4—674no—
1632C4⋊C4—674no—
1633C4⋊C4—674no—
1634C4⋊C4—674no—
1635C4⋊C4—674no—
1636C4⋊C4—674no—
1637C4⋊C4—674no—
1638C4⋊C4—674no—
1639C4⋊C4—674no—
1640C4⋊C4—674no—
1641C4⋊C4—674no—
1642C4⋊C4C23×D6714yes—
1643C4⋊C4C23×D6714yes—
1644C4⋊C4C23×D6714yes—
1645C4⋊C4C23×D6714yes—
1646C4⋊C4C23×D6714yes—
1647C4⋊C4C23×D6714yes—
1648C22⋊C4—674no—
1649C22⋊C4—674no—
1650C22⋊C4—674no—
1651C22⋊C4—674no—
1652C22⋊C4—674no—
1653C22⋊C4—674no—
1654C22⋊C4—674no—
1655C22⋊C4—674no—
1656C22⋊C4—674no—
1657C22⋊C4—674no—
1658C22⋊C4—674no—
1659C22⋊C4—674no—
1660C22⋊C4—674no—
1661C22⋊C4—674no—
1662C22⋊C4—674no—
1663C22⋊C4—674no—
1664C22⋊C4—674no—
1665C22⋊C4—674no—
1666C22⋊C4—674no—
1667C22⋊C4—674no—
1668C22⋊C4—674no—
1669C22⋊C4—674no—
1670C22⋊C4—674no—
1671C22⋊C4—674no—
1672C22⋊C4—674no—
1673C22⋊C4—674no—
1674C22⋊C4—674no—
1675C22⋊C4—674no—
1676C22⋊C4—674no—
1677C22⋊C4—674no—
1678C22⋊C4—674no—
1679C22⋊C4—674no—
1680C22⋊C4—674no—
1681C22⋊C4—674no—
1682C22⋊C4—674no—
1683C22⋊C4—674no—
1684C22⋊C4C23×D6714yes—
1685C22⋊C4C23×D6714yes—
1686C22⋊C4C23×D6714yes—
1687C22⋊C4C23×D6714yes—
1688C22⋊C4C23×D6714yes—
1689C22⋊C4C23×D6714yes—
1690C22⋊C4C23×D6714yes—
1691C22⋊C4C23×D6714yes—
1692C22⋊C4C23×D6714yes—
1693C22⋊C4C23×D6714yes—
1694C22⋊C4C23×D6714yes—
1695C22⋊C4C23×D6714yes—
1696C42—674no—
1697C42—674no—
1698C42—674no—
1699C42—674no—
1700C42—674no—
1701C42—674no—
1702C42—674no—
1703C42—674no—
1704C42—674no—
1705C42—674no—
1706C42—674no—
1707C42C23×D6714yes—
1708C42C23×D6714yes—
1709C42C23×D6714yes—
1710C42C23×D6714yes—
1711C42C23×D6714yes—
1712C23—22no—
1713C23—22no—
1714C23—22no—
1715C23—22no—
1716C23—22no—
1717C23—22no—
1718C23—22no—
1719C23—22no—
1720C23—22no—
1721C23—22no—
1722C23—22no—
1723C23—22no—
1724C23—2684no—
1725C23—2684no—
1726C23—2684no—
1727C23—5368no—
1728C23—672no—
1729C23—672no—
1730C23—672no—
1731C23—1342no—
1732C23—1342no—
1733C23—1342no—
1734C23—1342no—
1735C23—1342no—
1736C23—1342no—
1737C23—1342no—
1738C23—1342no—
1739C23—1342no—
1740C23C24×D6712yes—
1741C23C24×D6712yes—
1742C23C24×D6712yes—
1743C23C24×D6712yes—
1744C23C24×D6711yescharacteristic
1745Q8—44no—
1746Q8—44no—
1747Q8—2684no—
1748Q8—2684no—
1749Q8—2684no—
1750Q8—2684no—
1751D4—44no—
1752D4—44no—
1753D4—44no—
1754D4—44no—
1755D4—44no—
1756D4—44no—
1757D4—2684no—
1758D4—2684no—
1759D4—2684no—
1760D4—2684no—
1761D4—2684no—
1762D4—2684no—
1763D4—2684no—
1764D4—2684no—
1765D4—2684no—
1766D4—2684no—
1767D4—2684no—
1768D4—2684no—
1769C2×C4—22no—
1770C2×C4—22no—
1771C2×C4—22no—
1772C2×C4—22no—
1773C2×C4—22no—
1774C2×C4—22no—
1775C2×C4—22no—
1776C2×C4—22no—
1777C2×C4—22no—
1778C2×C4—22no—
1779C2×C4—22no—
1780C2×C4—44no—
1781C2×C4—44no—
1782C2×C4—44no—
1783C2×C4—44no—
1784C2×C4—2684no—
1785C2×C4—2684no—
1786C2×C4—2684no—
1787C2×C4—2684no—
1788C2×C4—2684no—
1789C2×C4—2684no—
1790C2×C4—2684no—
1791C2×C4—2684no—
1792C2×C4—2684no—
1793C2×C4—2684no—
1794C2×C4—2684no—
1795C2×C4—2684no—
1796C2×C4—2684no—
1797C2×C4—2684no—
1798C2×C4—672no—
1799C2×C4—672no—
1800C2×C4—672no—
1801C2×C4—672no—
1802C2×C4—672no—
1803C2×C4—672no—
1804C2×C4—672no—
1805C2×C4—672no—
1806C2×C4—672no—
1807C2×C4—672no—
1808C2×C4—672no—
1809C2×C4—672no—
1810C2×C4—672no—
1811C2×C4—1342no—
1812C2×C4—1342no—
1813C2×C4—1342no—
1814C2×C4—1342no—
1815C2×C4—1342no—
1816C2×C4—1342no—
1817C2×C4—1342no—
1818C2×C4—1342no—
1819C2×C4—1342no—
1820C2×C4—1342no—
1821C2×C4—1342no—
1822C2×C4—1342no—
1823C2×C4—1342no—
1824C2×C4C24×D6712yes—
1825C2×C4C24×D6712yes—
1826C2×C4C24×D6712yes—
1827C2×C4C24×D6712yes—
1828C2×C4C24×D6712yes—
1829C2×C4C24×D6712yes—
1830C2×C4C24×D6712yes—
1831C2×C4C24×D6712yes—
1832C2×C4C24×D6712yes—
1833C2×C4C24×D6712yes—
1834C2×C4C24×D6712yes—
1835C22—22no—
1836C22—22no—
1837C22—22no—
1838C22—22no—
1839C22—22no—
1840C22—22no—
1841C22—22no—
1842C22—22no—
1843C22—22no—
1844C22—22no—
1845C22—22no—
1846C22—22no—
1847C22—44no—
1848C22—44no—
1849C22—44no—
1850C22—44no—
1851C22—2684no—
1852C22—2684no—
1853C22—2684no—
1854C22—5368no—
1855C22—1342no—
1856C22—1342no—
1857C22—1342no—
1858C22—1342no—
1859C22—1342no—
1860C22—1342no—
1861C22—1342no—
1862C22—1342no—
1863C22—1342no—
1864C22#1686423112yes—
1865C22#1686423212yes—
1866C22#1686423212yes—
1867C22C25×D6711yescharacteristic
1868C4—22no—
1869C4—22no—
1870C4—22no—
1871C4—22no—
1872C4—22no—
1873C4—22no—
1874C4—22no—
1875C4—22no—
1876C4—22no—
1877C4—22no—
1878C4—22no—
1879C4—1342no—
1880C4—1342no—
1881C4—1342no—
1882C4—1342no—
1883C4—1342no—
1884C4—1342no—
1885C4—1342no—
1886C4—1342no—
1887C4—1342no—
1888C4—1342no—
1889C4—1342no—
1890C4—1342no—
1891C4—1342no—
1892C2—42no—
1893C2—42no—
1894C2—42no—
1895C2—42no—
1896C2—2682no—
1897C2—2682no—
1898C2—2682no—
1899C2#2257486314yesdirect product factor
1900C2C2×#1686423111yescharacteristic
1901C2C2×#1686423211yescharacteristic
1902C2C2×#1686423211yescharacteristic
subgroupG/H
centerC23C24×D67
commutator, cosocleC22×C67C26
FrattiniC22C25×D67
FittingC2×#555×C67C2
socleC23×C67C25
hypercenterC2×#555D67
hypocenterC67C2×#3566
LCSG ▷ C22×C67 ▷ C67
UCSC1 ◁ C23 ◁ C2×#555

Complements

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

NH ≅ G/Ntype
1. #22574863C2direct (N × H)
2. C2×#16864145C2semidirect
3. C2×#16864141C2semidirect
4. C2×#16864140C2semidirect
5. C2×#16864134C2semidirect
6. C2×#16864128C2semidirect
7. C2×#16864115C2semidirect
8. C2×#16864095C2semidirect
9. C2×#16864089C2semidirect
10. C2×#16864089C2semidirect
11. C2×#16864079C2semidirect
12. C2×#16864079C2semidirect
13. C2×#16864079C2semidirect
14. C2×#16864076C2semidirect
15. C2×#16864075C2semidirect
16. C2×#16864070C2semidirect
17. C2×#16864017C2semidirect
18. C2×#16864015C2semidirect
19. C2×#16864010C2semidirect
20. C2×#16864008C2semidirect
21. C2×#16864007C2semidirect
22. C2×#16863996C2semidirect
23. C2×#16863991C2semidirect
24. C2×#16863988C2semidirect
25. C2×#16863988C2semidirect
26. C2×#16863983C2semidirect
27. C2×#16863980C2semidirect
28. C2×#16863978C2semidirect
29. C2×#16863925C2semidirect
30. C2×#16863924C2semidirect
31. C2×#16863924C2semidirect
32. C2×#555×C67C2semidirect
33. #16864145C22semidirect
34. #16864141C22semidirect
35. #16864140C22semidirect
36. #16864134C22semidirect
37. #16864128C22semidirect
38. #16864115C22semidirect
39. #16864095C22semidirect
40. #16864089C22semidirect
41. #16864089C22semidirect
42. #16864079C22semidirect
43. #16864079C22semidirect
44. #16864079C22semidirect
45. #16864076C22semidirect
46. #16864075C22semidirect
47. #16864070C22semidirect
48. #16864017C22semidirect
49. #16864015C22semidirect
50. #16864010C22semidirect
51. #16864008C22semidirect
52. #16864007C22semidirect
53. #16863996C22semidirect
54. #16863991C22semidirect
55. #16863988C22semidirect
56. #16863988C22semidirect
57. #16863983C22semidirect
58. #16863980C22semidirect
59. #16863978C22semidirect
60. C2×#14524043C22semidirect
61. C2×#14524041C22semidirect
63. #16863925C22semidirect
64. #16863924C22semidirect
65. #16863924C22semidirect
72. C2×#14524038C22semidirect
76. C2×#14524037C22semidirect
82. C2×#14524036C22semidirect
83. C2×#14524036C22semidirect
84. C2×#14524036C22semidirect
85. C2×#14524036C22semidirect
86. C2×#14524035C22semidirect
87. C2×#14524035C22semidirect
88. C2×#14524035C22semidirect
89. C2×#14524033C22semidirect
90. C2×#14524033C22semidirect
91. C2×#14524033C22semidirect
92. C2×#14524033C22semidirect
93. C2×#14524033C22semidirect
94. C2×#14524033C22semidirect
95. C2×#14524033C22semidirect
96. C2×#14524033C22semidirect
97. C2×#14524033C22semidirect
105. C2×#14524029C22semidirect
113. C2×#14524027C22semidirect
122. C2×#14524025C22semidirect
123. C2×#14524025C22semidirect
124. C2×#14524025C22semidirect
128. C2×#14524024C22semidirect
129. C2×#14524024C22semidirect
132. C2×#14524022C22semidirect
136. C2×#14524021C22semidirect
137. C2×#14524021C22semidirect
139. C2×#14524020C22semidirect
140. C2×#14524020C22semidirect
141. C2×#14524020C22semidirect
142. C2×#14524020C22semidirect
143. C2×#14524020C22semidirect
147. C2×#14524019C22semidirect
158. C2×#14524015C22semidirect
159. C2×#14524015C22semidirect
166. C2×Q8×Dic67C22semidirect
167. C2×Q8×Dic67C22semidirect
168. C2×C4×Dic134C22semidirect
169. C2×C4×Dic134C22semidirect
170. C2×C4×Dic134C22semidirect
171. C2×C4×Dic134C22semidirect
176. C2×D4×Dic67C22semidirect
177. C2×D4×Dic67C22semidirect
180. C2×C4×C22⋊D67C22semidirect
181. C2×C4×C22⋊D67C22semidirect
187. C2×(C22⋊D67)⋊C4C22semidirect
193. C2×#14523999C22semidirect
194. C2×#14523999C22semidirect
195. C2×#14523999C22semidirect
196. C22×Dic67⋊C4C22semidirect
197. C22×Dic67⋊C4C22semidirect
198. C22×Dic67⋊C4C22semidirect
202. C2×C42×D67C22semidirect
203. #555×C67C22semidirect
204. C2×C4⋊Q8×C67C22semidirect
207. C2×#124×C67C22semidirect
208. C2×#124×C67C22semidirect
212. C2×#121×C67C22semidirect
214. C2×C4×D4×C67C22semidirect
216. C2×#117×C67C22semidirect
217. C2×#117×C67C22semidirect
218. C2×#117×C67C22semidirect
250. #14524043C23semidirect
251. #14524041C23semidirect
259. #14524038C23semidirect
263. #14524037C23semidirect
269. #14524036C23semidirect
270. #14524036C23semidirect
271. #14524036C23semidirect
272. #14524036C23semidirect
273. #14524035C23semidirect
274. #14524035C23semidirect
275. #14524035C23semidirect
276. #14524033C23semidirect
277. #14524033C23semidirect
278. #14524033C23semidirect
279. #14524033C23semidirect
280. #14524033C23semidirect
281. #14524033C23semidirect
282. #14524033C23semidirect
283. #14524033C23semidirect
284. #14524033C23semidirect
292. #14524029C23semidirect
300. #14524027C23semidirect
309. #14524025C23semidirect
310. #14524025C23semidirect
311. #14524025C23semidirect
315. #14524024C23semidirect
316. #14524024C23semidirect
319. #14524022C23semidirect
323. #14524021C23semidirect
324. #14524021C23semidirect
326. #14524020C23semidirect
327. #14524020C23semidirect
328. #14524020C23semidirect
329. #14524020C23semidirect
330. #14524020C23semidirect
334. #14524019C23semidirect
345. #14524015C23semidirect
346. #14524015C23semidirect
353. Q8×Dic67C23semidirect
354. Q8×Dic67C23semidirect
355. C4×Dic134C23semidirect
356. C4×Dic134C23semidirect
357. C4×Dic134C23semidirect
358. C4×Dic134C23semidirect
363. D4×Dic67C23semidirect
364. D4×Dic67C23semidirect
367. C4×C22⋊D67C23semidirect
368. C4×C22⋊D67C23semidirect
374. (C22⋊D67)⋊C4C23semidirect
380. #14523999C23semidirect
381. #14523999C23semidirect
382. #14523999C23semidirect
425. C2×Dic67⋊C4C23semidirect
426. C2×Dic67⋊C4C23semidirect
427. C2×Dic67⋊C4C23semidirect
478. C42×D67C23semidirect
491. C4⋊Q8×C67C23semidirect
494. #124×C67C23semidirect
495. #124×C67C23semidirect
499. #121×C67C23semidirect
501. C4×D4×C67C23semidirect
503. #117×C67C23semidirect
504. #117×C67C23semidirect
505. #117×C67C23semidirect
945. C2×C67#3566semidirect
959. C2×#555D67semidirect
984. C67C2×#3566semidirect
991. #555C2×D67semidirect
1015. C2×C4⋊Q8C2×D67semidirect
1062. C2×#124C2×D67semidirect
1063. C2×#124C2×D67semidirect
1123. C2×#121C2×D67semidirect
1151. C2×C4×D4C2×D67semidirect
1161. C2×#117C2×D67semidirect
1162. C2×#117C2×D67semidirect
1163. C2×#117C2×D67semidirect
1216. C4⋊Q8C22×D67semidirect
1260. #124C22×D67semidirect
1261. #124C22×D67semidirect
1321. #121C22×D67semidirect
1349. C4×D4C22×D67semidirect
1359. #117C22×D67semidirect
1360. #117C22×D67semidirect
1361. #117C22×D67semidirect
1899. C2#22574863direct (N × H)

Maximal subgroups

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

subgroupindex
#225748632
C2×#168641452
C2×#168641412
C2×#168641402
C2×#168641342
C2×#168641282
C2×#168641152
C2×#168640952
C2×#168640892
C2×#168640792
C2×#168640762
C2×#168640752
C2×#168640702
C2×#168640172
C2×#168640152
C2×#168640102
C2×#168640082
C2×#168640072
C2×#168639962
C2×#168639912
C2×#168639882
C2×#168639832
C2×#168639802
C2×#168639782
C2×#168639252
C2×#168639242
C2×#555×C672
C2×#356667