Finite Group Databasebeta

← C67×#61522 #30740773

Subgroups — C67×#61522 #30740773

Order 17152.

1892 conjugacy classes of subgroups.

The subgroup lattice has 1744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C67×#3520C211yesmaximal, characteristic, complemented
2C67×#3513C211yesmaximal, characteristic, complemented
3C67×#3401C211yesmaximal, characteristic, complemented
4C67×#3384C211yesmaximal, characteristic, complemented
5C67×#3376C211yesmaximal, characteristic, complemented
6C67×#3373C211yesmaximal, characteristic, complemented
7C67×#3345C211yesmaximal, characteristic, complemented
8C67×#3344C211yesmaximal, characteristic, complemented
9C67×#3335C211yesmaximal, characteristic, complemented
10C67×#3314C211yesmaximal, characteristic, complemented
11C67×#3307C211yesmaximal, characteristic, complemented
12C67×#3306C211yesmaximal, characteristic, complemented
13C67×#3306C211yesmaximal, characteristic, complemented
14C67×#3296C211yesmaximal, characteristic, complemented
15C67×#3295C211yesmaximal, characteristic, complemented
16C67×#3280C211yesmaximal, characteristic, complemented
17C67×#3267C211yesmaximal, characteristic, complemented
18C67×#3264C211yesmaximal, characteristic, complemented
19C67×#3181C211yesmaximal, characteristic, complemented
20C67×#3179C211yesmaximal, characteristic, complemented
21C67×#3173C211yesmaximal, characteristic, complemented
22C67×#3125C211yesmaximal, characteristic, complemented
23C67×#3125C211yesmaximal, characteristic, complemented
24C67×#3119C211yesmaximal, characteristic, complemented
25C67×#3118C211yesmaximal, characteristic, complemented
26C67×#3105C211yesmaximal, characteristic, complemented
27C67×#3101C211yesmaximal, characteristic, complemented
28C67×#2968C211yesmaximal, characteristic, complemented
29C67×#2952C211yesmaximal, characteristic, complemented
30C67×#2946C211yesmaximal, characteristic, complemented
31C2×#442×C67C211yesmaximal, characteristic, complemented
32C2×AGL(1,ℤ/8)×C67C2211yescharacteristic
33C2×#135×C67C2211yescharacteristic
34C22×D8×C67C2211yescharacteristic
35#559×C67C2211yescharacteristic, complemented
36#556×C67C2211yescharacteristic, complemented
37#554×C67C2211yescharacteristic
38#554×C67C2211yescharacteristic, complemented
39#554×C67C2211yescharacteristic, complemented
40#553×C67—21no—
41#553×C67C2211yescharacteristic, complemented
42#552×C67—21no—
43#552×C67C2211yescharacteristic
44#551×C67—21no—
45#551×C67—21no—
46#551×C67—21no—
47#551×C67—21no—
48D4×Q8×C67C2211yescharacteristic, complemented
49#548×C67—21no—
50#547×C67C2211yescharacteristic
51#547×C67C2211yescharacteristic, complemented
52#547×C67C2211yescharacteristic, complemented
53#546×C67—21no—
54#546×C67C2211yescharacteristic
55#546×C67C2211yescharacteristic
56#546×C67C2211yescharacteristic, complemented
57#546×C67C2211yescharacteristic, complemented
58D42×C67C2211yescharacteristic
59#542×C67C2211yescharacteristic, complemented
60#542×C67C2211yescharacteristic, complemented
61#542×C67C2211yescharacteristic, complemented
62#540×C67C2211yescharacteristic, complemented
63#539×C67—21no—
64#539×C67—21no—
65#539×C67—21no—
66#538×C67—21no—
67#533×C67C2211yescharacteristic, complemented
68#529×C67C2211yescharacteristic
69#529×C67C2211yescharacteristic
70#525×C67—21no—
71#525×C67—21no—
72C2×#123×C67—21no—
73C2×C22⋊Q8×C67—21no—
74#520×C67C2211yescharacteristic, complemented
75#520×C67C2211yescharacteristic, complemented
76#520×C67C2211yescharacteristic, complemented
77#518×C67C2211yescharacteristic, complemented
78C2×C4×D4×C67C2211yescharacteristic
79C2×C4×D4×C67C2211yescharacteristic, complemented
80#501×C67C2211yescharacteristic, complemented
81#501×C67C2211yescharacteristic, complemented
82#498×C67C2211yescharacteristic, complemented
83#497×C67C2211yescharacteristic, complemented
84#496×C67C2211yescharacteristic
85#495×C67C2211yescharacteristic, complemented
86#491×C67C2211yescharacteristic, complemented
87#489×C67C2211yescharacteristic, complemented
88#489×C67C2211yescharacteristic, complemented
89#489×C67C2211yescharacteristic, complemented
90#488×C67C2211yescharacteristic, complemented
91#486×C67C2211yescharacteristic, complemented
92#485×C67C2211yescharacteristic, complemented
93#484×C67C2211yescharacteristic, complemented
94#483×C67C2211yescharacteristic, complemented
95#483×C67C2211yescharacteristic, complemented
96#483×C67C2211yescharacteristic, complemented
97#483×C67C2211yescharacteristic, complemented
98#482×C67C2211yescharacteristic, complemented
99#481×C67C2211yescharacteristic
100#481×C67C2211yescharacteristic, complemented
101#481×C67C2211yescharacteristic, complemented
102#481×C67C2211yescharacteristic, complemented
103#480×C67C2211yescharacteristic, complemented
104#479×C67C2211yescharacteristic, complemented
105#478×C67C2211yescharacteristic, complemented
106#478×C67C2211yescharacteristic, complemented
107#478×C67C2211yescharacteristic, complemented
108#476×C67C2211yescharacteristic, complemented
109#476×C67C2211yescharacteristic, complemented
110#476×C67C2211yescharacteristic, complemented
111#476×C67C2211yescharacteristic, complemented
112#476×C67C2211yescharacteristic, complemented
113#475×C67C2211yescharacteristic, complemented
114#475×C67C2211yescharacteristic, complemented
115#474×C67C2211yescharacteristic, complemented
116#470×C67C2211yescharacteristic, complemented
117#469×C67C2211yescharacteristic
118#469×C67C2211yescharacteristic, complemented
119#468×C67C2211yescharacteristic, complemented
120#467×C67C2211yescharacteristic, complemented
121#467×C67C2211yescharacteristic, complemented
122#466×C67C2211yescharacteristic, complemented
123#465×C67C2211yescharacteristic
124#465×C67C2211yescharacteristic
125#465×C67C2211yescharacteristic, complemented
126#465×C67C2211yescharacteristic, complemented
127#465×C67C2211yescharacteristic, complemented
128#464×C67C2211yescharacteristic, complemented
129#464×C67C2211yescharacteristic, complemented
130#463×C67C2211yescharacteristic
131#463×C67C2211yescharacteristic
132#463×C67C2211yescharacteristic, complemented
133#463×C67C2211yescharacteristic, complemented
134#463×C67C2211yescharacteristic, complemented
135#463×C67C2211yescharacteristic, complemented
136#461×C67C2211yescharacteristic, complemented
137#461×C67C2211yescharacteristic, complemented
138#460×C67C2211yescharacteristic, complemented
139#459×C67C2211yescharacteristic
140#452×C67C2211yescharacteristic, complemented
141#452×C67C2211yescharacteristic, complemented
142#450×C67C2211yescharacteristic
143#450×C67C2211yescharacteristic
144#450×C67C2211yescharacteristic, complemented
145#450×C67C2211yescharacteristic, complemented
146#449×C67C2211yescharacteristic
147#449×C67C2211yescharacteristic
148#449×C67C2211yescharacteristic, complemented
149#449×C67C2211yescharacteristic, complemented
150#447×C67C2211yescharacteristic
151#447×C67C2211yescharacteristic
152#446×C67C2211yescharacteristic, complemented
153#446×C67C2211yescharacteristic, complemented
154#442×C67C2211yescharacteristic
155#442×C67C2211yescharacteristic
156#442×C67C2211yescharacteristic
157#442×C67C2211yescharacteristic
158#442×C67C2211yescharacteristic
159#442×C67C2211yescharacteristic, complemented
160#442×C67C2211yescharacteristic, complemented
161#442×C67C2211yescharacteristic, complemented
162#442×C67C2211yescharacteristic, complemented
163#442×C67C2211yescharacteristic, complemented
164#441×C67C2211yescharacteristic, complemented
165#441×C67C2211yescharacteristic, complemented
166#441×C67C2211yescharacteristic, complemented
167#440×C67C2211yescharacteristic, complemented
168#440×C67C2211yescharacteristic, complemented
169#440×C67C2211yescharacteristic, complemented
170C4×SD16×C67C2211yescharacteristic, complemented
171C4×SD16×C67C2211yescharacteristic, complemented
172C4×SD16×C67C2211yescharacteristic, complemented
173C4×SD16×C67C2211yescharacteristic, complemented
174C4×SD16×C67C2211yescharacteristic, complemented
175C4×SD16×C67C2211yescharacteristic, complemented
176C4×SD16×C67C2211yescharacteristic, complemented
177C4×SD16×C67C2211yescharacteristic, complemented
178C4×SD16×C67C2211yescharacteristic, complemented
179C4×D8×C67C2211yescharacteristic
180C4×D8×C67C2211yescharacteristic, complemented
181C4×D8×C67C2211yescharacteristic, complemented
182#435×C67C2211yescharacteristic
183#435×C67C2211yescharacteristic, complemented
184#435×C67C2211yescharacteristic, complemented
185#435×C67C2211yescharacteristic, complemented
186C8×D4×C67C2211yescharacteristic
187C8×D4×C67C2211yescharacteristic, complemented
188#433×C67C2211yescharacteristic, complemented
189#433×C67C2211yescharacteristic, complemented
190#431×C67C2211yescharacteristic, complemented
191#428×C67C2211yescharacteristic, complemented
192C2×#106×C67C2211yescharacteristic, complemented
193C2×#106×C67C2211yescharacteristic, complemented
194#417×C67C2211yescharacteristic, complemented
195#417×C67C2211yescharacteristic, complemented
196#416×C67C2211yescharacteristic, complemented
197C2×#102×C67C2211yescharacteristic
198C2×#102×C67C2211yescharacteristic, complemented
199C2×#102×C67C2211yescharacteristic, complemented
200#405×C67C2211yescharacteristic, complemented
201#405×C67C2211yescharacteristic, complemented
202C2×#97×C67C2211yescharacteristic, complemented
203C2×#41×C67—21no—
204C2×#41×C67—21no—
205C2×#41×C67C2311yescharacteristic
206C2×#41×C67C2311yescharacteristic
207C2×#41×C67C2311yescharacteristic
208C22×Q8×C67—21no—
209C22×D4×C67—21no—
210C22×D4×C67C2311yescharacteristic
211C22×D4×C67C2311yescharacteristic
212C22×D4×C67C2311yescharacteristic
213C23×C4×C67—21no—
214C23×C4×C67—21no—
215AGL(1,ℤ/8)×C67—24no—
216#135×C67—24no—
217C2×Q16×C67C2311yescharacteristic
218C2×Q16×C67C2311yescharacteristic
219C2×SD16×C67C2311yescharacteristic
220C2×SD16×C67C2311yescharacteristic
221C2×SD16×C67C2311yescharacteristic
222C2×SD16×C67C2311yescharacteristic
223C2×SD16×C67C2311yescharacteristic
224C2×SD16×C67C2311yescharacteristic
225C2×SD16×C67C2311yescharacteristic
226C2×SD16×C67C2311yescharacteristic
227C2×D8×C67—24no—
228C2×D8×C67C2311yescharacteristic
229C2×D8×C67C2311yescharacteristic
230C2×D8×C67C2311yescharacteristic
231C2×D8×C67C2311yescharacteristic
232C2×D8×C67C2311yescharacteristic
233C2×D8×C67C2311yescharacteristic
234C2×M16×C67C2311yescharacteristic
235C2×M16×C67C2311yescharacteristic
236C22×C8×C67C2311yescharacteristic
237C22×C8×C67C2311yescharacteristic
238C22×C8×C67C2311yescharacteristic
239C22×C8×C67C2311yescharacteristic
240C4⋊Q8×C67C2311yescharacteristic
241C4⋊Q8×C67C2311yescharacteristic
242C4⋊Q8×C67C2311yescharacteristic
243C4⋊Q8×C67C2311yescharacteristic
244C4⋊Q8×C67C2311yescharacteristic
245#127×C67C2311yescharacteristic
246#126×C67—21no—
247#126×C67—21no—
248#126×C67—21no—
249#126×C67—21no—
250#126×C67—21no—
251#126×C67—21no—
252#126×C67—21no—
253#126×C67—21no—
254#126×C67D411yescharacteristic
255#126×C67D411yescharacteristic
256#125×C67—21no—
257#125×C67—21no—
258#125×C67—21no—
259#125×C67—21no—
260#125×C67D411yescharacteristic
261#125×C67C2311yescharacteristic
262#125×C67C2311yescharacteristic
263#124×C67—21no—
264#124×C67—21no—
265#124×C67—21no—
266#124×C67—21no—
267#124×C67D411yescharacteristic
268#124×C67C2311yescharacteristic
269#124×C67C2311yescharacteristic
270#124×C67C2311yescharacteristic
271#124×C67C2311yescharacteristic
272#123×C67—21no—
273#123×C67—21no—
274#123×C67—21no—
275#123×C67—21no—
276#123×C67—21no—
277#123×C67—21no—
278#123×C67—21no—
279#123×C67—21no—
280#123×C67—21no—
281#123×C67—21no—
282#123×C67—21no—
283#123×C67—21no—
284#123×C67—21no—
285#123×C67—21no—
286#123×C67—21no—
287#123×C67—21no—
288#123×C67—21no—
289#123×C67—21no—
290#123×C67—21no—
291#123×C67—21no—
292#123×C67D411yescharacteristic
293#123×C67D411yescharacteristic
294C22⋊Q8×C67—21no—
295C22⋊Q8×C67—21no—
296C22⋊Q8×C67—21no—
297C22⋊Q8×C67—21no—
298C22⋊Q8×C67—21no—
299C22⋊Q8×C67—21no—
300C22⋊Q8×C67—21no—
301C22⋊Q8×C67—21no—
302C22⋊Q8×C67—21no—
303C22⋊Q8×C67—21no—
304C22⋊Q8×C67—21no—
305C22⋊Q8×C67—21no—
306C22⋊Q8×C67—21no—
307C22⋊Q8×C67—21no—
308C22⋊Q8×C67—21no—
309C22⋊Q8×C67—21no—
310C22⋊Q8×C67—21no—
311C22⋊Q8×C67D411yescharacteristic
312C22⋊Q8×C67C2311yescharacteristic
313C22⋊Q8×C67C2311yescharacteristic
314C22⋊Q8×C67C2311yescharacteristic
315C22⋊Q8×C67C2311yescharacteristic
316C22⋊Q8×C67C2311yescharacteristic
317C22⋊Q8×C67C2311yescharacteristic
318#121×C67—21no—
319#121×C67—21no—
320#121×C67—21no—
321#121×C67—21no—
322#121×C67—21no—
323#121×C67—21no—
324#121×C67—21no—
325#121×C67—21no—
326#121×C67—21no—
327#121×C67D411yescharacteristic
328#121×C67C2311yescharacteristic
329#121×C67C2311yescharacteristic
330#121×C67C2311yescharacteristic
331#121×C67C2311yescharacteristic
332#121×C67C2311yescharacteristic
333#121×C67C2311yescharacteristic
334#120×C67—21no—
335#120×C67—21no—
336#120×C67—21no—
337#120×C67—21no—
338#120×C67—21no—
339#120×C67—21no—
340C4×Q8×C67—21no—
341C4×Q8×C67C2311yescharacteristic
342C4×Q8×C67C2311yescharacteristic
343C4×Q8×C67C2311yescharacteristic
344C4×Q8×C67C2311yescharacteristic
345C4×Q8×C67C2311yescharacteristic
346C4×Q8×C67C2311yescharacteristic
347C4×Q8×C67C2311yescharacteristic
348C4×D4×C67—21no—
349C4×D4×C67—21no—
350C4×D4×C67—21no—
351C4×D4×C67—21no—
352C4×D4×C67—21no—
353C4×D4×C67—21no—
354C4×D4×C67—21no—
355C4×D4×C67—21no—
356C4×D4×C67—21no—
357C4×D4×C67—21no—
358C4×D4×C67—21no—
359C4×D4×C67—21no—
360C4×D4×C67—21no—
361C4×D4×C67—21no—
362C4×D4×C67—21no—
363C4×D4×C67—21no—
364C4×D4×C67—21no—
365C4×D4×C67C2311yescharacteristic
366C4×D4×C67C2311yescharacteristic
367C4×D4×C67C2311yescharacteristic
368C4×D4×C67C2311yescharacteristic
369C4×D4×C67C2311yescharacteristic
370C4×D4×C67C2311yescharacteristic
371C4×D4×C67C2311yescharacteristic
372C4×D4×C67C2311yescharacteristic
373C4×D4×C67C2311yescharacteristic
374C4×D4×C67C2311yescharacteristic
375C4×D4×C67C2311yescharacteristic
376C4×D4×C67C2311yescharacteristic
377C4×D4×C67C2311yescharacteristic
378C4×D4×C67C2311yescharacteristic
379C4×D4×C67C2311yescharacteristic
380C4×D4×C67C2311yescharacteristic
381C4×D4×C67C2311yescharacteristic
382#117×C67—21no—
383#117×C67—21no—
384#117×C67—21no—
385#117×C67—21no—
386#117×C67—21no—
387#117×C67—21no—
388#117×C67—21no—
389#117×C67C2311yescharacteristic
390#117×C67C2311yescharacteristic
391#117×C67C2311yescharacteristic
392C2×C4⋊C4×C67—21no—
393C2×C4⋊C4×C67—21no—
394C2×C4⋊C4×C67—21no—
395C2×C4⋊C4×C67—21no—
396C2×C4⋊C4×C67—21no—
397C2×C4⋊C4×C67C2311yescharacteristic
398C2×C4⋊C4×C67C2311yescharacteristic
399C2×C4⋊C4×C67C2311yescharacteristic
400C2×C4⋊C4×C67C2311yescharacteristic
401C2×C4⋊C4×C67C2311yescharacteristic
402C2×C22⋊C4×C67—21no—
403C2×C22⋊C4×C67—21no—
404C2×C22⋊C4×C67—21no—
405C2×C22⋊C4×C67—21no—
406C2×C22⋊C4×C67—21no—
407C2×C22⋊C4×C67—21no—
408C2×C22⋊C4×C67—21no—
409C2×C22⋊C4×C67—21no—
410C2×C42×C67C2311yescharacteristic
411#107×C67C2311yescharacteristic
412#107×C67C2311yescharacteristic
413#107×C67C2311yescharacteristic
414#107×C67C2311yescharacteristic
415#106×C67C2311yescharacteristic
416#106×C67C2311yescharacteristic
417#106×C67C2311yescharacteristic
418#106×C67C2311yescharacteristic
419#106×C67C2311yescharacteristic
420#106×C67C2311yescharacteristic
421#106×C67C2311yescharacteristic
422#106×C67C2311yescharacteristic
423#106×C67C2311yescharacteristic
424#106×C67C2311yescharacteristic
425#106×C67C2311yescharacteristic
426#106×C67C2311yescharacteristic
427C4⋊C8×C67C2311yescharacteristic
428C4⋊C8×C67C2311yescharacteristic
429C4⋊C8×C67C2311yescharacteristic
430C4⋊C8×C67C2311yescharacteristic
431C4⋊C8×C67C2311yescharacteristic
432C4⋊C8×C67C2311yescharacteristic
433#103×C67C2311yescharacteristic
434#103×C67C2311yescharacteristic
435#103×C67C2311yescharacteristic
436#103×C67C2311yescharacteristic
437#103×C67C2311yescharacteristic
438#103×C67C2311yescharacteristic
439#103×C67C2311yescharacteristic
440#103×C67C2311yescharacteristic
441#103×C67C2311yescharacteristic
442#103×C67C2311yescharacteristic
443#103×C67C2311yescharacteristic
444#103×C67C2311yescharacteristic
445#102×C67C2311yescharacteristic
446#102×C67C2311yescharacteristic
447#102×C67C2311yescharacteristic
448#102×C67C2311yescharacteristic
449#102×C67C2311yescharacteristic
450#102×C67C2311yescharacteristic
451#102×C67C2311yescharacteristic
452#102×C67C2311yescharacteristic
453#102×C67C2311yescharacteristic
454#102×C67C2311yescharacteristic
455#102×C67C2311yescharacteristic
456#102×C67C2311yescharacteristic
457#102×C67C2311yescharacteristic
458#102×C67C2311yescharacteristic
459#102×C67C2311yescharacteristic
460#102×C67C2311yescharacteristic
461#102×C67C2311yescharacteristic
462#102×C67C2311yescharacteristic
463#102×C67C2311yescharacteristic
464#102×C67C2311yescharacteristic
465C22⋊C8×C67C2311yescharacteristic
466C22⋊C8×C67C2311yescharacteristic
467C22⋊C8×C67C2311yescharacteristic
468C22⋊C8×C67C2311yescharacteristic
469C22⋊C8×C67C2311yescharacteristic
470C22⋊C8×C67C2311yescharacteristic
471#97×C67C2311yescharacteristic
472#97×C67C2311yescharacteristic
473#97×C67C2311yescharacteristic
474#97×C67C2311yescharacteristic
475#97×C67C2311yescharacteristic
476#97×C67C2311yescharacteristic
477C4×C8×C67C2311yescharacteristic
478C4×C8×C67C2311yescharacteristic
479C4×C8×C67C2311yescharacteristic
480C4×C8×C67C2311yescharacteristic
481C24×C67—21no—
482C24×C67—21no—
483C24×C67—21no—
484#41×C67—22no—
485#41×C67—22no—
486#41×C67—22no—
487#41×C67—41no—
488#41×C67—41no—
489#41×C67—41no—
490#41×C67—82no—
491#41×C67—82no—
492C2×Q8×C67—21no—
493C2×Q8×C67—21no—
494C2×Q8×C67—21no—
495C2×Q8×C67—21no—
496C2×Q8×C67—82no—
497C2×Q8×C67C2×D411yescharacteristic
498C2×Q8×C67C2411yescharacteristic
499C2×Q8×C67C2411yescharacteristic
500C2×Q8×C67C2411yescharacteristic
501C2×D4×C67—22no—
502C2×D4×C67—22no—
503C2×D4×C67—22no—
504C2×D4×C67—21no—
505C2×D4×C67—21no—
506C2×D4×C67—21no—
507C2×D4×C67—21no—
508C2×D4×C67—21no—
509C2×D4×C67—21no—
510C2×D4×C67—21no—
511C2×D4×C67—21no—
512C2×D4×C67—21no—
513C2×D4×C67—21no—
514C2×D4×C67—21no—
515C2×D4×C67—21no—
516C2×D4×C67—21no—
517C2×D4×C67—21no—
518C2×D4×C67—41no—
519C2×D4×C67—41no—
520C2×D4×C67—41no—
521C2×D4×C67—82no—
522C2×D4×C67C2×D411yescharacteristic
523C2×D4×C67C2×D411yescharacteristic
524C2×D4×C67C2×D411yescharacteristic
525C2×D4×C67C2411yescharacteristic
526C2×D4×C67C2411yescharacteristic
527C2×D4×C67C2411yescharacteristic
528C2×D4×C67C2411yescharacteristic
529C2×D4×C67C2411yescharacteristic
530C22×C4×C67—21no—
531C22×C4×C67—21no—
532C22×C4×C67—21no—
533C22×C4×C67—21no—
534C22×C4×C67—21no—
535C22×C4×C67—21no—
536C22×C4×C67—21no—
537C22×C4×C67—21no—
538C22×C4×C67—21no—
539C22×C4×C67—21no—
540C22×C4×C67—21no—
541C22×C4×C67—21no—
542C22×C4×C67—21no—
543C22×C4×C67—21no—
544C22×C4×C67—21no—
545C22×C4×C67—21no—
546C22×C4×C67—21no—
547C22×C4×C67—21no—
548C22×C4×C67—21no—
549C22×C4×C67—21no—
550C22×C4×C67—21no—
551C22×C4×C67—21no—
552C22×C4×C67—82no—
553C22×C4×C67—82no—
554C22×C4×C67C2×D411yescharacteristic
555C22×C4×C67C2×D411yescharacteristic
556C22×C4×C67C2411yescharacteristic
557C22×C4×C67C2411yescharacteristic
558C22×C4×C67C2411yescharacteristic
559Q16×C67—22no—
560Q16×C67—41no—
561SD16×C67—22no—
562SD16×C67—22no—
563SD16×C67—22no—
564SD16×C67—22no—
565SD16×C67—41no—
566SD16×C67—41no—
567SD16×C67—41no—
568SD16×C67—41no—
569D8×C67—22no—
570D8×C67—22no—
571D8×C67—22no—
572D8×C67—22no—
573D8×C67—41no—
574D8×C67#4114yescomplemented
575M16×C67—22no—
576M16×C67—41no—
577C2×C8×C67—22no—
578C2×C8×C67—22no—
579C2×C8×C67—41no—
580C2×C8×C67—41no—
581C2×C8×C67C2411yescharacteristic
582C2×C8×C67C2411yescharacteristic
583C2×C8×C67C2411yescharacteristic
584C2×C8×C67C2411yescharacteristic
585C2×C8×C67C2411yescharacteristic
586C2×C8×C67C2411yescharacteristic
587C2×C8×C67C2411yescharacteristic
588C2×C8×C67C2411yescharacteristic
589C4⋊C4×C67—21no—
590C4⋊C4×C67—21no—
591C4⋊C4×C67—21no—
592C4⋊C4×C67—21no—
593C4⋊C4×C67—21no—
594C4⋊C4×C67—21no—
595C4⋊C4×C67—21no—
596C4⋊C4×C67—21no—
597C4⋊C4×C67—21no—
598C4⋊C4×C67—21no—
599C4⋊C4×C67—21no—
600C4⋊C4×C67—21no—
601C4⋊C4×C67—21no—
602C4⋊C4×C67—21no—
603C4⋊C4×C67—21no—
604C4⋊C4×C67—21no—
605C4⋊C4×C67—21no—
606C4⋊C4×C67—21no—
607C4⋊C4×C67—21no—
608C4⋊C4×C67—21no—
609C4⋊C4×C67—21no—
610C4⋊C4×C67—21no—
611C4⋊C4×C67—21no—
612C4⋊C4×C67—21no—
613C4⋊C4×C67—21no—
614C4⋊C4×C67—21no—
615C4⋊C4×C67—21no—
616C4⋊C4×C67C2×D411yescharacteristic
617C4⋊C4×C67C2×D411yescharacteristic
618C4⋊C4×C67C2×D411yescharacteristic
619C4⋊C4×C67C2×D411yescharacteristic
620C4⋊C4×C67C2×D411yescharacteristic
621C4⋊C4×C67C2×D411yescharacteristic
622C4⋊C4×C67C2×D411yescharacteristic
623C4⋊C4×C67C2×D411yescharacteristic
624C4⋊C4×C67C2×D411yescharacteristic
625C4⋊C4×C67C2×D411yescharacteristic
626C4⋊C4×C67C2411yescharacteristic
627C4⋊C4×C67C2411yescharacteristic
628C4⋊C4×C67C2411yescharacteristic
629C4⋊C4×C67C2411yescharacteristic
630C4⋊C4×C67C2411yescharacteristic
631C4⋊C4×C67C2411yescharacteristic
632C4⋊C4×C67C2411yescharacteristic
633C4⋊C4×C67C2411yescharacteristic
634C22⋊C4×C67—21no—
635C22⋊C4×C67—21no—
636C22⋊C4×C67—21no—
637C22⋊C4×C67—21no—
638C22⋊C4×C67—21no—
639C22⋊C4×C67—21no—
640C22⋊C4×C67—21no—
641C22⋊C4×C67—21no—
642C22⋊C4×C67—21no—
643C22⋊C4×C67—21no—
644C22⋊C4×C67—21no—
645C22⋊C4×C67—21no—
646C22⋊C4×C67—21no—
647C22⋊C4×C67—21no—
648C22⋊C4×C67—21no—
649C22⋊C4×C67—21no—
650C22⋊C4×C67—21no—
651C22⋊C4×C67—21no—
652C22⋊C4×C67—21no—
653C22⋊C4×C67—21no—
654C22⋊C4×C67—21no—
655C22⋊C4×C67—21no—
656C22⋊C4×C67—21no—
657C22⋊C4×C67—21no—
658C22⋊C4×C67—21no—
659C22⋊C4×C67—21no—
660C22⋊C4×C67—21no—
661C22⋊C4×C67—21no—
662C22⋊C4×C67—21no—
663C22⋊C4×C67—21no—
664C22⋊C4×C67—21no—
665C22⋊C4×C67—21no—
666C22⋊C4×C67—21no—
667C22⋊C4×C67—21no—
668C22⋊C4×C67—21no—
669C22⋊C4×C67C2×D411yescharacteristic
670C22⋊C4×C67C2×D411yescharacteristic
671C22⋊C4×C67C2×D411yescharacteristic
672C22⋊C4×C67C2×D411yescharacteristic
673C22⋊C4×C67C2×D411yescharacteristic
674C22⋊C4×C67C2×D411yescharacteristic
675C22⋊C4×C67C2×D411yescharacteristic
676C22⋊C4×C67C2×D411yescharacteristic
677C22⋊C4×C67C2×D411yescharacteristic
678C22⋊C4×C67C2×D411yescharacteristic
679C42×C67—21no—
680C42×C67—21no—
681C42×C67—21no—
682C42×C67—21no—
683C42×C67—21no—
684C42×C67—21no—
685C42×C67—21no—
686C42×C67C2×D411yescharacteristic
687C42×C67C2×D411yescharacteristic
688C42×C67C2411yescharacteristic
689C42×C67C2411yescharacteristic
690C42×C67C2411yescharacteristic
691C42×C67C2411yescharacteristic
692C23×C67—21no—
693C23×C67—21no—
694C23×C67—21no—
695C23×C67—21no—
696C23×C67—21no—
697C23×C67—42no—
698C23×C67—42no—
699C23×C67—42no—
700C23×C67—42no—
701C23×C67—42no—
702C23×C67—81no—
703C23×C67—81no—
704C23×C67—81no—
705C23×C67—81no—
706C23×C67C22×D411yescharacteristic
707C23×C67C22×D411yescharacteristic
708C23×C67C22×D411yescharacteristic
709Q8×C67—21no—
710Q8×C67—21no—
711Q8×C67—21no—
712Q8×C67—21no—
713Q8×C67—21no—
714Q8×C67—21no—
715Q8×C67—41no—
716Q8×C67—42no—
717Q8×C67—81no—
718Q8×C67—81no—
719Q8×C67—81no—
720D4×C67—22no—
721D4×C67—22no—
722D4×C67—21no—
723D4×C67—21no—
724D4×C67—21no—
725D4×C67—21no—
726D4×C67—21no—
727D4×C67—21no—
728D4×C67—21no—
729D4×C67—21no—
730D4×C67—41no—
731D4×C67—42no—
732D4×C67—42no—
733D4×C67—42no—
734D4×C67—42no—
735D4×C67—42no—
736D4×C67—42no—
737D4×C67—42no—
738D4×C67—81no—
739D4×C67—81no—
740D4×C67—81no—
741D4×C67—81no—
742D4×C67—81no—
743D4×C67—81no—
744D4×C67—81no—
745D4×C67C2×#4112yes—
746D4×C67C2×#4112yes—
747C2×C4×C67—22no—
748C2×C4×C67—21no—
749C2×C4×C67—21no—
750C2×C4×C67—21no—
751C2×C4×C67—21no—
752C2×C4×C67—21no—
753C2×C4×C67—21no—
754C2×C4×C67—21no—
755C2×C4×C67—21no—
756C2×C4×C67—21no—
757C2×C4×C67—21no—
758C2×C4×C67—21no—
759C2×C4×C67—21no—
760C2×C4×C67—21no—
761C2×C4×C67—21no—
762C2×C4×C67—21no—
763C2×C4×C67—21no—
764C2×C4×C67—21no—
765C2×C4×C67—41no—
766C2×C4×C67—42no—
767C2×C4×C67—42no—
768C2×C4×C67—42no—
769C2×C4×C67—42no—
770C2×C4×C67—42no—
771C2×C4×C67—42no—
772C2×C4×C67—81no—
773C2×C4×C67—81no—
774C2×C4×C67—81no—
775C2×C4×C67—81no—
776C2×C4×C67—81no—
777C2×C4×C67—81no—
778C2×C4×C67—81no—
779C2×C4×C67—81no—
780C2×C4×C67—81no—
781C2×C4×C67—81no—
782C2×C4×C67—81no—
783C2×C4×C67—81no—
784C2×C4×C67—81no—
785C2×C4×C67—81no—
786C2×C4×C67—81no—
787C2×C4×C67—81no—
788C2×C4×C67C22×D411yescharacteristic
789C2×C4×C67C22×D411yescharacteristic
790C2×C4×C67C22×D411yescharacteristic
791C2×C4×C67C22×D411yescharacteristic
792C2×C4×C67C22×D411yescharacteristic
793C2×C4×C67C22×D411yescharacteristic
794C2×C4×C67C22×D411yescharacteristic
795C2×C4×C67C22×D411yescharacteristic
796C2×C4×C67C22×D411yescharacteristic
797C2×C4×C67C22×D411yescharacteristic
798C2×C4×C67C22×D411yescharacteristic
799C2×C4×C67C2511yescharacteristic
800C8×C67—21no—
801C8×C67—21no—
802C8×C67—21no—
803C8×C67—21no—
804C8×C67—21no—
805C8×C67—21no—
806C8×C67—21no—
807C8×C67C2×#4112yes—
808C22×C67—21no—
809C22×C67—21no—
810C22×C67—21no—
811C22×C67—21no—
812C22×C67—21no—
813C22×C67—21no—
814C22×C67—22no—
815C22×C67—22no—
816C22×C67—21no—
817C22×C67—21no—
818C22×C67—41no—
819C22×C67—41no—
820C22×C67—41no—
821C22×C67—41no—
822C22×C67—41no—
823C22×C67—41no—
824C22×C67—41no—
825C22×C67—41no—
826C22×C67—41no—
827C22×C67—41no—
828C22×C67—41no—
829C22×C67—41no—
830C22×C67—41no—
831C22×C67—84no—
832C22×C67—84no—
833C22×C67—162no—
834C22×C67#57712yes—
835C22×C67C23×D411yescharacteristic
836C4×C67—21no—
837C4×C67—21no—
838C4×C67—21no—
839C4×C67—21no—
840C4×C67—21no—
841C4×C67—21no—
842C4×C67—21no—
843C4×C67—21no—
844C4×C67—21no—
845C4×C67—21no—
846C4×C67—21no—
847C4×C67—41no—
848C4×C67—41no—
849C4×C67—41no—
850C4×C67—41no—
851C4×C67—41no—
852C4×C67—41no—
853C4×C67—41no—
854C4×C67—41no—
855C4×C67—41no—
856C4×C67—41no—
857C4×C67—41no—
858C4×C67C22×#4111yescharacteristic
859C4×C67#58511yescharacteristic
860#61522C6711yesmaximal, characteristic, direct product factor, Sylow
861C2×C67—22no—
862C2×C67—41no—
863C2×C67—41no—
864C2×C67—42no—
865C2×C67—42no—
866C2×C67—81no—
867C2×C67—81no—
868C2×C67—81no—
869C2×C67D4×#4111yescharacteristic
870C2×C67C2×#57711yescharacteristic
871C2×C67#358511yescharacteristic
872#3520C2×C6711yescharacteristic, complemented
873#3513C2×C6711yescharacteristic, complemented
874#3401C2×C6711yescharacteristic, complemented
875#3384C2×C6711yescharacteristic, complemented
876#3376C2×C6711yescharacteristic, complemented
877#3373C2×C6711yescharacteristic, complemented
878#3345C2×C6711yescharacteristic, complemented
879#3344C2×C6711yescharacteristic, complemented
880#3335C2×C6711yescharacteristic, complemented
881#3314C2×C6711yescharacteristic, complemented
882#3307C2×C6711yescharacteristic, complemented
883#3306C2×C6711yescharacteristic, complemented
884#3306C2×C6711yescharacteristic, complemented
885#3296C2×C6711yescharacteristic, complemented
886#3295C2×C6711yescharacteristic, complemented
887#3280C2×C6711yescharacteristic, complemented
888#3267C2×C6711yescharacteristic, complemented
889#3264C2×C6711yescharacteristic, complemented
890#3181C2×C6711yescharacteristic, complemented
891#3179C2×C6711yescharacteristic, complemented
892#3173C2×C6711yescharacteristic, complemented
893#3125C2×C6711yescharacteristic, complemented
894#3125C2×C6711yescharacteristic, complemented
895#3119C2×C6711yescharacteristic, complemented
896#3118C2×C6711yescharacteristic, complemented
897#3105C2×C6711yescharacteristic, complemented
898#3101C2×C6711yescharacteristic, complemented
899#2968C2×C6711yescharacteristic, complemented
900#2952C2×C6711yescharacteristic, complemented
901#2946C2×C6711yescharacteristic, complemented
902C2×#442C2×C6711yescharacteristic, complemented
903C67#6152211yescharacteristic, direct product factor, Sylow
904C2×AGL(1,ℤ/8)C22×C6711yescharacteristic
905C2×#135C22×C6711yescharacteristic
906C22×D8C22×C6711yescharacteristic
907#559C22×C6711yescharacteristic, complemented
908#556C22×C6711yescharacteristic, complemented
909#554C22×C6711yescharacteristic
910#554C22×C6711yescharacteristic, complemented
911#554C22×C6711yescharacteristic, complemented
912#553—21no—
913#553C22×C6711yescharacteristic, complemented
914#552—21no—
915#552C22×C6711yescharacteristic
916#551—21no—
917#551—21no—
918#551—21no—
919#551—21no—
920D4×Q8C22×C6711yescharacteristic, complemented
921#548—21no—
922#547C22×C6711yescharacteristic
923#547C22×C6711yescharacteristic, complemented
924#547C22×C6711yescharacteristic, complemented
925#546—21no—
926#546C22×C6711yescharacteristic
927#546C22×C6711yescharacteristic
928#546C22×C6711yescharacteristic, complemented
929#546C22×C6711yescharacteristic, complemented
930D42C22×C6711yescharacteristic
931#542C22×C6711yescharacteristic, complemented
932#542C22×C6711yescharacteristic, complemented
933#542C22×C6711yescharacteristic, complemented
934#540C22×C6711yescharacteristic, complemented
935#539—21no—
936#539—21no—
937#539—21no—
938#538—21no—
939#533C22×C6711yescharacteristic, complemented
940#529C22×C6711yescharacteristic
941#529C22×C6711yescharacteristic
942#525—21no—
943#525—21no—
944C2×#123—21no—
945C2×C22⋊Q8—21no—
946#520C22×C6711yescharacteristic, complemented
947#520C22×C6711yescharacteristic, complemented
948#520C22×C6711yescharacteristic, complemented
949#518C22×C6711yescharacteristic, complemented
950C2×C4×D4C22×C6711yescharacteristic
951C2×C4×D4C22×C6711yescharacteristic, complemented
952#501C22×C6711yescharacteristic, complemented
953#501C22×C6711yescharacteristic, complemented
954#498C22×C6711yescharacteristic, complemented
955#497C22×C6711yescharacteristic, complemented
956#496C22×C6711yescharacteristic
957#495C22×C6711yescharacteristic, complemented
958#491C22×C6711yescharacteristic, complemented
959#489C22×C6711yescharacteristic, complemented
960#489C22×C6711yescharacteristic, complemented
961#489C22×C6711yescharacteristic, complemented
962#488C22×C6711yescharacteristic, complemented
963#486C22×C6711yescharacteristic, complemented
964#485C22×C6711yescharacteristic, complemented
965#484C22×C6711yescharacteristic, complemented
966#483C22×C6711yescharacteristic, complemented
967#483C22×C6711yescharacteristic, complemented
968#483C22×C6711yescharacteristic, complemented
969#483C22×C6711yescharacteristic, complemented
970#482C22×C6711yescharacteristic, complemented
971#481C22×C6711yescharacteristic
972#481C22×C6711yescharacteristic, complemented
973#481C22×C6711yescharacteristic, complemented
974#481C22×C6711yescharacteristic, complemented
975#480C22×C6711yescharacteristic, complemented
976#479C22×C6711yescharacteristic, complemented
977#478C22×C6711yescharacteristic, complemented
978#478C22×C6711yescharacteristic, complemented
979#478C22×C6711yescharacteristic, complemented
980#476C22×C6711yescharacteristic, complemented
981#476C22×C6711yescharacteristic, complemented
982#476C22×C6711yescharacteristic, complemented
983#476C22×C6711yescharacteristic, complemented
984#476C22×C6711yescharacteristic, complemented
985#475C22×C6711yescharacteristic, complemented
986#475C22×C6711yescharacteristic, complemented
987#474C22×C6711yescharacteristic, complemented
988#470C22×C6711yescharacteristic, complemented
989#469C22×C6711yescharacteristic
990#469C22×C6711yescharacteristic, complemented
991#468C22×C6711yescharacteristic, complemented
992#467C22×C6711yescharacteristic, complemented
993#467C22×C6711yescharacteristic, complemented
994#466C22×C6711yescharacteristic, complemented
995#465C22×C6711yescharacteristic
996#465C22×C6711yescharacteristic
997#465C22×C6711yescharacteristic, complemented
998#465C22×C6711yescharacteristic, complemented
999#465C22×C6711yescharacteristic, complemented
1000#464C22×C6711yescharacteristic, complemented
1001#464C22×C6711yescharacteristic, complemented
1002#463C22×C6711yescharacteristic
1003#463C22×C6711yescharacteristic
1004#463C22×C6711yescharacteristic, complemented
1005#463C22×C6711yescharacteristic, complemented
1006#463C22×C6711yescharacteristic, complemented
1007#463C22×C6711yescharacteristic, complemented
1008#461C22×C6711yescharacteristic, complemented
1009#461C22×C6711yescharacteristic, complemented
1010#460C22×C6711yescharacteristic, complemented
1011#459C22×C6711yescharacteristic
1012#452C22×C6711yescharacteristic, complemented
1013#452C22×C6711yescharacteristic, complemented
1014#450C22×C6711yescharacteristic
1015#450C22×C6711yescharacteristic
1016#450C22×C6711yescharacteristic, complemented
1017#450C22×C6711yescharacteristic, complemented
1018#449C22×C6711yescharacteristic
1019#449C22×C6711yescharacteristic
1020#449C22×C6711yescharacteristic, complemented
1021#449C22×C6711yescharacteristic, complemented
1022#447C22×C6711yescharacteristic
1023#447C22×C6711yescharacteristic
1024#446C22×C6711yescharacteristic, complemented
1025#446C22×C6711yescharacteristic, complemented
1026#442C22×C6711yescharacteristic
1027#442C22×C6711yescharacteristic
1028#442C22×C6711yescharacteristic
1029#442C22×C6711yescharacteristic
1030#442C22×C6711yescharacteristic
1031#442C22×C6711yescharacteristic, complemented
1032#442C22×C6711yescharacteristic, complemented
1033#442C22×C6711yescharacteristic, complemented
1034#442C22×C6711yescharacteristic, complemented
1035#442C22×C6711yescharacteristic, complemented
1036#441C22×C6711yescharacteristic, complemented
1037#441C22×C6711yescharacteristic, complemented
1038#441C22×C6711yescharacteristic, complemented
1039#440C22×C6711yescharacteristic, complemented
1040#440C22×C6711yescharacteristic, complemented
1041#440C22×C6711yescharacteristic, complemented
1042C4×SD16C22×C6711yescharacteristic, complemented
1043C4×SD16C22×C6711yescharacteristic, complemented
1044C4×SD16C22×C6711yescharacteristic, complemented
1045C4×SD16C22×C6711yescharacteristic, complemented
1046C4×SD16C22×C6711yescharacteristic, complemented
1047C4×SD16C22×C6711yescharacteristic, complemented
1048C4×SD16C22×C6711yescharacteristic, complemented
1049C4×SD16C22×C6711yescharacteristic, complemented
1050C4×SD16C22×C6711yescharacteristic, complemented
1051C4×D8C22×C6711yescharacteristic
1052C4×D8C22×C6711yescharacteristic, complemented
1053C4×D8C22×C6711yescharacteristic, complemented
1054#435C22×C6711yescharacteristic
1055#435C22×C6711yescharacteristic, complemented
1056#435C22×C6711yescharacteristic, complemented
1057#435C22×C6711yescharacteristic, complemented
1058C8×D4C22×C6711yescharacteristic
1059C8×D4C22×C6711yescharacteristic, complemented
1060#433C22×C6711yescharacteristic, complemented
1061#433C22×C6711yescharacteristic, complemented
1062#431C22×C6711yescharacteristic, complemented
1063#428C22×C6711yescharacteristic, complemented
1064C2×#106C22×C6711yescharacteristic, complemented
1065C2×#106C22×C6711yescharacteristic, complemented
1066#417C22×C6711yescharacteristic, complemented
1067#417C22×C6711yescharacteristic, complemented
1068#416C22×C6711yescharacteristic, complemented
1069C2×#102C22×C6711yescharacteristic
1070C2×#102C22×C6711yescharacteristic, complemented
1071C2×#102C22×C6711yescharacteristic, complemented
1072#405C22×C6711yescharacteristic, complemented
1073#405C22×C6711yescharacteristic, complemented
1074C2×#97C22×C6711yescharacteristic, complemented
1075C2×#41—21no—
1076C2×#41—21no—
1077C2×#41C23×C6711yescharacteristic
1078C2×#41C23×C6711yescharacteristic
1079C2×#41C23×C6711yescharacteristic
1080C22×Q8—21no—
1081C22×D4—21no—
1082C22×D4C23×C6711yescharacteristic
1083C22×D4C23×C6711yescharacteristic
1084C22×D4C23×C6711yescharacteristic
1085C23×C4—21no—
1086C23×C4—21no—
1087AGL(1,ℤ/8)—24no—
1088#135—24no—
1089C2×Q16C23×C6711yescharacteristic
1090C2×Q16C23×C6711yescharacteristic
1091C2×SD16C23×C6711yescharacteristic
1092C2×SD16C23×C6711yescharacteristic
1093C2×SD16C23×C6711yescharacteristic
1094C2×SD16C23×C6711yescharacteristic
1095C2×SD16C23×C6711yescharacteristic
1096C2×SD16C23×C6711yescharacteristic
1097C2×SD16C23×C6711yescharacteristic
1098C2×SD16C23×C6711yescharacteristic
1099C2×D8—24no—
1100C2×D8C23×C6711yescharacteristic
1101C2×D8C23×C6711yescharacteristic
1102C2×D8C23×C6711yescharacteristic
1103C2×D8C23×C6711yescharacteristic
1104C2×D8C23×C6711yescharacteristic
1105C2×D8C23×C6711yescharacteristic
1106C2×M16C23×C6711yescharacteristic
1107C2×M16C23×C6711yescharacteristic
1108C22×C8C23×C6711yescharacteristic
1109C22×C8C23×C6711yescharacteristic
1110C22×C8C23×C6711yescharacteristic
1111C22×C8C23×C6711yescharacteristic
1112C4⋊Q8C23×C6711yescharacteristic
1113C4⋊Q8C23×C6711yescharacteristic
1114C4⋊Q8C23×C6711yescharacteristic
1115C4⋊Q8C23×C6711yescharacteristic
1116C4⋊Q8C23×C6711yescharacteristic
1117#127C23×C6711yescharacteristic
1118#126—21no—
1119#126—21no—
1120#126—21no—
1121#126—21no—
1122#126—21no—
1123#126—21no—
1124#126—21no—
1125#126—21no—
1126#126D4×C6711yescharacteristic
1127#126D4×C6711yescharacteristic
1128#125—21no—
1129#125—21no—
1130#125—21no—
1131#125—21no—
1132#125D4×C6711yescharacteristic
1133#125C23×C6711yescharacteristic
1134#125C23×C6711yescharacteristic
1135#124—21no—
1136#124—21no—
1137#124—21no—
1138#124—21no—
1139#124D4×C6711yescharacteristic
1140#124C23×C6711yescharacteristic
1141#124C23×C6711yescharacteristic
1142#124C23×C6711yescharacteristic
1143#124C23×C6711yescharacteristic
1144#123—21no—
1145#123—21no—
1146#123—21no—
1147#123—21no—
1148#123—21no—
1149#123—21no—
1150#123—21no—
1151#123—21no—
1152#123—21no—
1153#123—21no—
1154#123—21no—
1155#123—21no—
1156#123—21no—
1157#123—21no—
1158#123—21no—
1159#123—21no—
1160#123—21no—
1161#123—21no—
1162#123—21no—
1163#123—21no—
1164#123D4×C6711yescharacteristic
1165#123D4×C6711yescharacteristic
1166C22⋊Q8—21no—
1167C22⋊Q8—21no—
1168C22⋊Q8—21no—
1169C22⋊Q8—21no—
1170C22⋊Q8—21no—
1171C22⋊Q8—21no—
1172C22⋊Q8—21no—
1173C22⋊Q8—21no—
1174C22⋊Q8—21no—
1175C22⋊Q8—21no—
1176C22⋊Q8—21no—
1177C22⋊Q8—21no—
1178C22⋊Q8—21no—
1179C22⋊Q8—21no—
1180C22⋊Q8—21no—
1181C22⋊Q8—21no—
1182C22⋊Q8—21no—
1183C22⋊Q8D4×C6711yescharacteristic
1184C22⋊Q8C23×C6711yescharacteristic
1185C22⋊Q8C23×C6711yescharacteristic
1186C22⋊Q8C23×C6711yescharacteristic
1187C22⋊Q8C23×C6711yescharacteristic
1188C22⋊Q8C23×C6711yescharacteristic
1189C22⋊Q8C23×C6711yescharacteristic
1190#121—21no—
1191#121—21no—
1192#121—21no—
1193#121—21no—
1194#121—21no—
1195#121—21no—
1196#121—21no—
1197#121—21no—
1198#121—21no—
1199#121D4×C6711yescharacteristic
1200#121C23×C6711yescharacteristic
1201#121C23×C6711yescharacteristic
1202#121C23×C6711yescharacteristic
1203#121C23×C6711yescharacteristic
1204#121C23×C6711yescharacteristic
1205#121C23×C6711yescharacteristic
1206#120—21no—
1207#120—21no—
1208#120—21no—
1209#120—21no—
1210#120—21no—
1211#120—21no—
1212C4×Q8—21no—
1213C4×Q8C23×C6711yescharacteristic
1214C4×Q8C23×C6711yescharacteristic
1215C4×Q8C23×C6711yescharacteristic
1216C4×Q8C23×C6711yescharacteristic
1217C4×Q8C23×C6711yescharacteristic
1218C4×Q8C23×C6711yescharacteristic
1219C4×Q8C23×C6711yescharacteristic
1220C4×D4—21no—
1221C4×D4—21no—
1222C4×D4—21no—
1223C4×D4—21no—
1224C4×D4—21no—
1225C4×D4—21no—
1226C4×D4—21no—
1227C4×D4—21no—
1228C4×D4—21no—
1229C4×D4—21no—
1230C4×D4—21no—
1231C4×D4—21no—
1232C4×D4—21no—
1233C4×D4—21no—
1234C4×D4—21no—
1235C4×D4—21no—
1236C4×D4—21no—
1237C4×D4C23×C6711yescharacteristic
1238C4×D4C23×C6711yescharacteristic
1239C4×D4C23×C6711yescharacteristic
1240C4×D4C23×C6711yescharacteristic
1241C4×D4C23×C6711yescharacteristic
1242C4×D4C23×C6711yescharacteristic
1243C4×D4C23×C6711yescharacteristic
1244C4×D4C23×C6711yescharacteristic
1245C4×D4C23×C6711yescharacteristic
1246C4×D4C23×C6711yescharacteristic
1247C4×D4C23×C6711yescharacteristic
1248C4×D4C23×C6711yescharacteristic
1249C4×D4C23×C6711yescharacteristic
1250C4×D4C23×C6711yescharacteristic
1251C4×D4C23×C6711yescharacteristic
1252C4×D4C23×C6711yescharacteristic
1253C4×D4C23×C6711yescharacteristic
1254#117—21no—
1255#117—21no—
1256#117—21no—
1257#117—21no—
1258#117—21no—
1259#117—21no—
1260#117—21no—
1261#117C23×C6711yescharacteristic
1262#117C23×C6711yescharacteristic
1263#117C23×C6711yescharacteristic
1264C2×C4⋊C4—21no—
1265C2×C4⋊C4—21no—
1266C2×C4⋊C4—21no—
1267C2×C4⋊C4—21no—
1268C2×C4⋊C4—21no—
1269C2×C4⋊C4C23×C6711yescharacteristic
1270C2×C4⋊C4C23×C6711yescharacteristic
1271C2×C4⋊C4C23×C6711yescharacteristic
1272C2×C4⋊C4C23×C6711yescharacteristic
1273C2×C4⋊C4C23×C6711yescharacteristic
1274C2×C22⋊C4—21no—
1275C2×C22⋊C4—21no—
1276C2×C22⋊C4—21no—
1277C2×C22⋊C4—21no—
1278C2×C22⋊C4—21no—
1279C2×C22⋊C4—21no—
1280C2×C22⋊C4—21no—
1281C2×C22⋊C4—21no—
1282C2×C42C23×C6711yescharacteristic
1283#107C23×C6711yescharacteristic
1284#107C23×C6711yescharacteristic
1285#107C23×C6711yescharacteristic
1286#107C23×C6711yescharacteristic
1287#106C23×C6711yescharacteristic
1288#106C23×C6711yescharacteristic
1289#106C23×C6711yescharacteristic
1290#106C23×C6711yescharacteristic
1291#106C23×C6711yescharacteristic
1292#106C23×C6711yescharacteristic
1293#106C23×C6711yescharacteristic
1294#106C23×C6711yescharacteristic
1295#106C23×C6711yescharacteristic
1296#106C23×C6711yescharacteristic
1297#106C23×C6711yescharacteristic
1298#106C23×C6711yescharacteristic
1299C4⋊C8C23×C6711yescharacteristic
1300C4⋊C8C23×C6711yescharacteristic
1301C4⋊C8C23×C6711yescharacteristic
1302C4⋊C8C23×C6711yescharacteristic
1303C4⋊C8C23×C6711yescharacteristic
1304C4⋊C8C23×C6711yescharacteristic
1305#103C23×C6711yescharacteristic
1306#103C23×C6711yescharacteristic
1307#103C23×C6711yescharacteristic
1308#103C23×C6711yescharacteristic
1309#103C23×C6711yescharacteristic
1310#103C23×C6711yescharacteristic
1311#103C23×C6711yescharacteristic
1312#103C23×C6711yescharacteristic
1313#103C23×C6711yescharacteristic
1314#103C23×C6711yescharacteristic
1315#103C23×C6711yescharacteristic
1316#103C23×C6711yescharacteristic
1317#102C23×C6711yescharacteristic
1318#102C23×C6711yescharacteristic
1319#102C23×C6711yescharacteristic
1320#102C23×C6711yescharacteristic
1321#102C23×C6711yescharacteristic
1322#102C23×C6711yescharacteristic
1323#102C23×C6711yescharacteristic
1324#102C23×C6711yescharacteristic
1325#102C23×C6711yescharacteristic
1326#102C23×C6711yescharacteristic
1327#102C23×C6711yescharacteristic
1328#102C23×C6711yescharacteristic
1329#102C23×C6711yescharacteristic
1330#102C23×C6711yescharacteristic
1331#102C23×C6711yescharacteristic
1332#102C23×C6711yescharacteristic
1333#102C23×C6711yescharacteristic
1334#102C23×C6711yescharacteristic
1335#102C23×C6711yescharacteristic
1336#102C23×C6711yescharacteristic
1337C22⋊C8C23×C6711yescharacteristic
1338C22⋊C8C23×C6711yescharacteristic
1339C22⋊C8C23×C6711yescharacteristic
1340C22⋊C8C23×C6711yescharacteristic
1341C22⋊C8C23×C6711yescharacteristic
1342C22⋊C8C23×C6711yescharacteristic
1343#97C23×C6711yescharacteristic
1344#97C23×C6711yescharacteristic
1345#97C23×C6711yescharacteristic
1346#97C23×C6711yescharacteristic
1347#97C23×C6711yescharacteristic
1348#97C23×C6711yescharacteristic
1349C4×C8C23×C6711yescharacteristic
1350C4×C8C23×C6711yescharacteristic
1351C4×C8C23×C6711yescharacteristic
1352C4×C8C23×C6711yescharacteristic
1353C24—21no—
1354C24—21no—
1355C24—21no—
1356#41—22no—
1357#41—22no—
1358#41—22no—
1359#41—41no—
1360#41—41no—
1361#41—41no—
1362#41—82no—
1363#41—82no—
1364C2×Q8—21no—
1365C2×Q8—21no—
1366C2×Q8—21no—
1367C2×Q8—21no—
1368C2×Q8—82no—
1369C2×Q8C2×D4×C6711yescharacteristic
1370C2×Q8C24×C6711yescharacteristic
1371C2×Q8C24×C6711yescharacteristic
1372C2×Q8C24×C6711yescharacteristic
1373C2×D4—22no—
1374C2×D4—22no—
1375C2×D4—22no—
1376C2×D4—21no—
1377C2×D4—21no—
1378C2×D4—21no—
1379C2×D4—21no—
1380C2×D4—21no—
1381C2×D4—21no—
1382C2×D4—21no—
1383C2×D4—21no—
1384C2×D4—21no—
1385C2×D4—21no—
1386C2×D4—21no—
1387C2×D4—21no—
1388C2×D4—21no—
1389C2×D4—21no—
1390C2×D4—41no—
1391C2×D4—41no—
1392C2×D4—41no—
1393C2×D4—82no—
1394C2×D4C2×D4×C6711yescharacteristic
1395C2×D4C2×D4×C6711yescharacteristic
1396C2×D4C2×D4×C6711yescharacteristic
1397C2×D4C24×C6711yescharacteristic
1398C2×D4C24×C6711yescharacteristic
1399C2×D4C24×C6711yescharacteristic
1400C2×D4C24×C6711yescharacteristic
1401C2×D4C24×C6711yescharacteristic
1402C22×C4—21no—
1403C22×C4—21no—
1404C22×C4—21no—
1405C22×C4—21no—
1406C22×C4—21no—
1407C22×C4—21no—
1408C22×C4—21no—
1409C22×C4—21no—
1410C22×C4—21no—
1411C22×C4—21no—
1412C22×C4—21no—
1413C22×C4—21no—
1414C22×C4—21no—
1415C22×C4—21no—
1416C22×C4—21no—
1417C22×C4—21no—
1418C22×C4—21no—
1419C22×C4—21no—
1420C22×C4—21no—
1421C22×C4—21no—
1422C22×C4—21no—
1423C22×C4—21no—
1424C22×C4—82no—
1425C22×C4—82no—
1426C22×C4C2×D4×C6711yescharacteristic
1427C22×C4C2×D4×C6711yescharacteristic
1428C22×C4C24×C6711yescharacteristic
1429C22×C4C24×C6711yescharacteristic
1430C22×C4C24×C6711yescharacteristic
1431Q16—22no—
1432Q16—41no—
1433SD16—22no—
1434SD16—22no—
1435SD16—22no—
1436SD16—22no—
1437SD16—41no—
1438SD16—41no—
1439SD16—41no—
1440SD16—41no—
1441D8—22no—
1442D8—22no—
1443D8—22no—
1444D8—22no—
1445D8—41no—
1446D8#41×C6714yescomplemented
1447M16—22no—
1448M16—41no—
1449C2×C8—22no—
1450C2×C8—22no—
1451C2×C8—41no—
1452C2×C8—41no—
1453C2×C8C24×C6711yescharacteristic
1454C2×C8C24×C6711yescharacteristic
1455C2×C8C24×C6711yescharacteristic
1456C2×C8C24×C6711yescharacteristic
1457C2×C8C24×C6711yescharacteristic
1458C2×C8C24×C6711yescharacteristic
1459C2×C8C24×C6711yescharacteristic
1460C2×C8C24×C6711yescharacteristic
1461C4⋊C4—21no—
1462C4⋊C4—21no—
1463C4⋊C4—21no—
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—21no—
1467C4⋊C4—21no—
1468C4⋊C4—21no—
1469C4⋊C4—21no—
1470C4⋊C4—21no—
1471C4⋊C4—21no—
1472C4⋊C4—21no—
1473C4⋊C4—21no—
1474C4⋊C4—21no—
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
1480C4⋊C4—21no—
1481C4⋊C4—21no—
1482C4⋊C4—21no—
1483C4⋊C4—21no—
1484C4⋊C4—21no—
1485C4⋊C4—21no—
1486C4⋊C4—21no—
1487C4⋊C4—21no—
1488C4⋊C4C2×D4×C6711yescharacteristic
1489C4⋊C4C2×D4×C6711yescharacteristic
1490C4⋊C4C2×D4×C6711yescharacteristic
1491C4⋊C4C2×D4×C6711yescharacteristic
1492C4⋊C4C2×D4×C6711yescharacteristic
1493C4⋊C4C2×D4×C6711yescharacteristic
1494C4⋊C4C2×D4×C6711yescharacteristic
1495C4⋊C4C2×D4×C6711yescharacteristic
1496C4⋊C4C2×D4×C6711yescharacteristic
1497C4⋊C4C2×D4×C6711yescharacteristic
1498C4⋊C4C24×C6711yescharacteristic
1499C4⋊C4C24×C6711yescharacteristic
1500C4⋊C4C24×C6711yescharacteristic
1501C4⋊C4C24×C6711yescharacteristic
1502C4⋊C4C24×C6711yescharacteristic
1503C4⋊C4C24×C6711yescharacteristic
1504C4⋊C4C24×C6711yescharacteristic
1505C4⋊C4C24×C6711yescharacteristic
1506C22⋊C4—21no—
1507C22⋊C4—21no—
1508C22⋊C4—21no—
1509C22⋊C4—21no—
1510C22⋊C4—21no—
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—21no—
1520C22⋊C4—21no—
1521C22⋊C4—21no—
1522C22⋊C4—21no—
1523C22⋊C4—21no—
1524C22⋊C4—21no—
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—21no—
1535C22⋊C4—21no—
1536C22⋊C4—21no—
1537C22⋊C4—21no—
1538C22⋊C4—21no—
1539C22⋊C4—21no—
1540C22⋊C4—21no—
1541C22⋊C4C2×D4×C6711yescharacteristic
1542C22⋊C4C2×D4×C6711yescharacteristic
1543C22⋊C4C2×D4×C6711yescharacteristic
1544C22⋊C4C2×D4×C6711yescharacteristic
1545C22⋊C4C2×D4×C6711yescharacteristic
1546C22⋊C4C2×D4×C6711yescharacteristic
1547C22⋊C4C2×D4×C6711yescharacteristic
1548C22⋊C4C2×D4×C6711yescharacteristic
1549C22⋊C4C2×D4×C6711yescharacteristic
1550C22⋊C4C2×D4×C6711yescharacteristic
1551C42—21no—
1552C42—21no—
1553C42—21no—
1554C42—21no—
1555C42—21no—
1556C42—21no—
1557C42—21no—
1558C42C2×D4×C6711yescharacteristic
1559C42C2×D4×C6711yescharacteristic
1560C42C24×C6711yescharacteristic
1561C42C24×C6711yescharacteristic
1562C42C24×C6711yescharacteristic
1563C42C24×C6711yescharacteristic
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—42no—
1570C23—42no—
1571C23—42no—
1572C23—42no—
1573C23—42no—
1574C23—81no—
1575C23—81no—
1576C23—81no—
1577C23—81no—
1578C23C22×D4×C6711yescharacteristic
1579C23C22×D4×C6711yescharacteristic
1580C23C22×D4×C6711yescharacteristic
1581Q8—21no—
1582Q8—21no—
1583Q8—21no—
1584Q8—21no—
1585Q8—21no—
1586Q8—21no—
1587Q8—41no—
1588Q8—42no—
1589Q8—81no—
1590Q8—81no—
1591Q8—81no—
1592D4—22no—
1593D4—22no—
1594D4—21no—
1595D4—21no—
1596D4—21no—
1597D4—21no—
1598D4—21no—
1599D4—21no—
1600D4—21no—
1601D4—21no—
1602D4—41no—
1603D4—42no—
1604D4—42no—
1605D4—42no—
1606D4—42no—
1607D4—42no—
1608D4—42no—
1609D4—42no—
1610D4—81no—
1611D4—81no—
1612D4—81no—
1613D4—81no—
1614D4—81no—
1615D4—81no—
1616D4—81no—
1617D4C2×#41×C6712yes—
1618D4C2×#41×C6712yes—
1619C2×C4—22no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—41no—
1638C2×C4—42no—
1639C2×C4—42no—
1640C2×C4—42no—
1641C2×C4—42no—
1642C2×C4—42no—
1643C2×C4—42no—
1644C2×C4—81no—
1645C2×C4—81no—
1646C2×C4—81no—
1647C2×C4—81no—
1648C2×C4—81no—
1649C2×C4—81no—
1650C2×C4—81no—
1651C2×C4—81no—
1652C2×C4—81no—
1653C2×C4—81no—
1654C2×C4—81no—
1655C2×C4—81no—
1656C2×C4—81no—
1657C2×C4—81no—
1658C2×C4—81no—
1659C2×C4—81no—
1660C2×C4C22×D4×C6711yescharacteristic
1661C2×C4C22×D4×C6711yescharacteristic
1662C2×C4C22×D4×C6711yescharacteristic
1663C2×C4C22×D4×C6711yescharacteristic
1664C2×C4C22×D4×C6711yescharacteristic
1665C2×C4C22×D4×C6711yescharacteristic
1666C2×C4C22×D4×C6711yescharacteristic
1667C2×C4C22×D4×C6711yescharacteristic
1668C2×C4C22×D4×C6711yescharacteristic
1669C2×C4C22×D4×C6711yescharacteristic
1670C2×C4C22×D4×C6711yescharacteristic
1671C2×C4C25×C6711yescharacteristic
1672C8—21no—
1673C8—21no—
1674C8—21no—
1675C8—21no—
1676C8—21no—
1677C8—21no—
1678C8—21no—
1679C8C2×#41×C6712yes—
1680C22—21no—
1681C22—21no—
1682C22—21no—
1683C22—21no—
1684C22—21no—
1685C22—21no—
1686C22—21no—
1687C22—21no—
1688C22—22no—
1689C22—22no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—84no—
1704C22—84no—
1705C22—162no—
1706C22#577×C6712yes—
1707C22C23×D4×C6711yescharacteristic
1708C4—21no—
1709C4—21no—
1710C4—21no—
1711C4—21no—
1712C4—21no—
1713C4—21no—
1714C4—21no—
1715C4—21no—
1716C4—21no—
1717C4—21no—
1718C4—21no—
1719C4—41no—
1720C4—41no—
1721C4—41no—
1722C4—41no—
1723C4—41no—
1724C4—41no—
1725C4—41no—
1726C4—41no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4C22×#41×C6711yescharacteristic
1731C4#585×C6711yescharacteristic
1732C2—22no—
1733C2—41no—
1734C2—41no—
1735C2—42no—
1736C2—42no—
1737C2—81no—
1738C2—81no—
1739C2—81no—
1740C2D4×#41×C6711yescharacteristic
1741C2C2×#577×C6711yescharacteristic
1742C2C67×#358511yescharacteristic
subgroupG/H
center, socleC22×C67C23×D4
commutator, Frattini, cosocleC2×C4C25×C67
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C67 ◁ #529×C67 ◁ G

Complements

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

NH ≅ G/Ntype
1. C67×#3520C2semidirect
2. C67×#3513C2semidirect
3. C67×#3401C2semidirect
4. C67×#3384C2semidirect
5. C67×#3376C2semidirect
6. C67×#3373C2semidirect
7. C67×#3345C2semidirect
8. C67×#3344C2semidirect
9. C67×#3335C2semidirect
10. C67×#3314C2semidirect
11. C67×#3307C2semidirect
12. C67×#3306C2semidirect
13. C67×#3306C2semidirect
14. C67×#3296C2semidirect
15. C67×#3295C2semidirect
16. C67×#3280C2semidirect
17. C67×#3267C2semidirect
18. C67×#3264C2semidirect
19. C67×#3181C2semidirect
20. C67×#3179C2semidirect
21. C67×#3173C2semidirect
22. C67×#3125C2semidirect
23. C67×#3125C2semidirect
24. C67×#3119C2semidirect
25. C67×#3118C2semidirect
26. C67×#3105C2semidirect
27. C67×#3101C2semidirect
28. C67×#2968C2semidirect
29. C67×#2952C2semidirect
30. C67×#2946C2semidirect
31. C2×#442×C67C2semidirect
35. #559×C67C22semidirect
36. #556×C67C22semidirect
38. #554×C67C22semidirect
39. #554×C67C22semidirect
41. #553×C67C22semidirect
48. D4×Q8×C67C22semidirect
51. #547×C67C22semidirect
52. #547×C67C22semidirect
56. #546×C67C22semidirect
57. #546×C67C22semidirect
59. #542×C67C22semidirect
60. #542×C67C22semidirect
61. #542×C67C22semidirect
62. #540×C67C22semidirect
67. #533×C67C22semidirect
74. #520×C67C22semidirect
75. #520×C67C22semidirect
76. #520×C67C22semidirect
77. #518×C67C22semidirect
79. C2×C4×D4×C67C22semidirect
80. #501×C67C22semidirect
81. #501×C67C22semidirect
82. #498×C67C22semidirect
83. #497×C67C22semidirect
85. #495×C67C22semidirect
86. #491×C67C22semidirect
87. #489×C67C22semidirect
88. #489×C67C22semidirect
89. #489×C67C22semidirect
90. #488×C67C22semidirect
91. #486×C67C22semidirect
92. #485×C67C22semidirect
93. #484×C67C22semidirect
94. #483×C67C22semidirect
95. #483×C67C22semidirect
96. #483×C67C22semidirect
97. #483×C67C22semidirect
98. #482×C67C22semidirect
100. #481×C67C22semidirect
101. #481×C67C22semidirect
102. #481×C67C22semidirect
103. #480×C67C22semidirect
104. #479×C67C22semidirect
105. #478×C67C22semidirect
106. #478×C67C22semidirect
107. #478×C67C22semidirect
108. #476×C67C22semidirect
109. #476×C67C22semidirect
110. #476×C67C22semidirect
111. #476×C67C22semidirect
112. #476×C67C22semidirect
113. #475×C67C22semidirect
114. #475×C67C22semidirect
115. #474×C67C22semidirect
116. #470×C67C22semidirect
118. #469×C67C22semidirect
119. #468×C67C22semidirect
120. #467×C67C22semidirect
121. #467×C67C22semidirect
122. #466×C67C22semidirect
125. #465×C67C22semidirect
126. #465×C67C22semidirect
127. #465×C67C22semidirect
128. #464×C67C22semidirect
129. #464×C67C22semidirect
132. #463×C67C22semidirect
133. #463×C67C22semidirect
134. #463×C67C22semidirect
135. #463×C67C22semidirect
136. #461×C67C22semidirect
137. #461×C67C22semidirect
138. #460×C67C22semidirect
140. #452×C67C22semidirect
141. #452×C67C22semidirect
144. #450×C67C22semidirect
145. #450×C67C22semidirect
148. #449×C67C22semidirect
149. #449×C67C22semidirect
152. #446×C67C22semidirect
153. #446×C67C22semidirect
159. #442×C67C22semidirect
160. #442×C67C22semidirect
161. #442×C67C22semidirect
162. #442×C67C22semidirect
163. #442×C67C22semidirect
164. #441×C67C22semidirect
165. #441×C67C22semidirect
166. #441×C67C22semidirect
167. #440×C67C22semidirect
168. #440×C67C22semidirect
169. #440×C67C22semidirect
170. C4×SD16×C67C22semidirect
171. C4×SD16×C67C22semidirect
172. C4×SD16×C67C22semidirect
173. C4×SD16×C67C22semidirect
174. C4×SD16×C67C22semidirect
175. C4×SD16×C67C22semidirect
176. C4×SD16×C67C22semidirect
177. C4×SD16×C67C22semidirect
178. C4×SD16×C67C22semidirect
180. C4×D8×C67C22semidirect
181. C4×D8×C67C22semidirect
183. #435×C67C22semidirect
184. #435×C67C22semidirect
185. #435×C67C22semidirect
187. C8×D4×C67C22semidirect
188. #433×C67C22semidirect
189. #433×C67C22semidirect
190. #431×C67C22semidirect
191. #428×C67C22semidirect
192. C2×#106×C67C22semidirect
193. C2×#106×C67C22semidirect
194. #417×C67C22semidirect
195. #417×C67C22semidirect
196. #416×C67C22semidirect
198. C2×#102×C67C22semidirect
199. C2×#102×C67C22semidirect
200. #405×C67C22semidirect
201. #405×C67C22semidirect
202. C2×#97×C67C22semidirect
574. D8×C67#41semidirect
860. #61522C67direct (N × H)
872. #3520C2×C67semidirect
873. #3513C2×C67semidirect
874. #3401C2×C67semidirect
875. #3384C2×C67semidirect
876. #3376C2×C67semidirect
877. #3373C2×C67semidirect
878. #3345C2×C67semidirect
879. #3344C2×C67semidirect
880. #3335C2×C67semidirect
881. #3314C2×C67semidirect
882. #3307C2×C67semidirect
883. #3306C2×C67semidirect
884. #3306C2×C67semidirect
885. #3296C2×C67semidirect
886. #3295C2×C67semidirect
887. #3280C2×C67semidirect
888. #3267C2×C67semidirect
889. #3264C2×C67semidirect
890. #3181C2×C67semidirect
891. #3179C2×C67semidirect
892. #3173C2×C67semidirect
893. #3125C2×C67semidirect
894. #3125C2×C67semidirect
895. #3119C2×C67semidirect
896. #3118C2×C67semidirect
897. #3105C2×C67semidirect
898. #3101C2×C67semidirect
899. #2968C2×C67semidirect
900. #2952C2×C67semidirect
901. #2946C2×C67semidirect
902. C2×#442C2×C67semidirect
903. C67#61522direct (N × H)
907. #559C22×C67semidirect
908. #556C22×C67semidirect
910. #554C22×C67semidirect
911. #554C22×C67semidirect
913. #553C22×C67semidirect
920. D4×Q8C22×C67semidirect
923. #547C22×C67semidirect
924. #547C22×C67semidirect
928. #546C22×C67semidirect
929. #546C22×C67semidirect
931. #542C22×C67semidirect
932. #542C22×C67semidirect
933. #542C22×C67semidirect
934. #540C22×C67semidirect
939. #533C22×C67semidirect
946. #520C22×C67semidirect
947. #520C22×C67semidirect
948. #520C22×C67semidirect
949. #518C22×C67semidirect
951. C2×C4×D4C22×C67semidirect
952. #501C22×C67semidirect
953. #501C22×C67semidirect
954. #498C22×C67semidirect
955. #497C22×C67semidirect
957. #495C22×C67semidirect
958. #491C22×C67semidirect
959. #489C22×C67semidirect
960. #489C22×C67semidirect
961. #489C22×C67semidirect
962. #488C22×C67semidirect
963. #486C22×C67semidirect
964. #485C22×C67semidirect
965. #484C22×C67semidirect
966. #483C22×C67semidirect
967. #483C22×C67semidirect
968. #483C22×C67semidirect
969. #483C22×C67semidirect
970. #482C22×C67semidirect
972. #481C22×C67semidirect
973. #481C22×C67semidirect
974. #481C22×C67semidirect
975. #480C22×C67semidirect
976. #479C22×C67semidirect
977. #478C22×C67semidirect
978. #478C22×C67semidirect
979. #478C22×C67semidirect
980. #476C22×C67semidirect
981. #476C22×C67semidirect
982. #476C22×C67semidirect
983. #476C22×C67semidirect
984. #476C22×C67semidirect
985. #475C22×C67semidirect
986. #475C22×C67semidirect
987. #474C22×C67semidirect
988. #470C22×C67semidirect
990. #469C22×C67semidirect
991. #468C22×C67semidirect
992. #467C22×C67semidirect
993. #467C22×C67semidirect
994. #466C22×C67semidirect
997. #465C22×C67semidirect
998. #465C22×C67semidirect
999. #465C22×C67semidirect
1000. #464C22×C67semidirect
1001. #464C22×C67semidirect
1004. #463C22×C67semidirect
1005. #463C22×C67semidirect
1006. #463C22×C67semidirect
1007. #463C22×C67semidirect
1008. #461C22×C67semidirect
1009. #461C22×C67semidirect
1010. #460C22×C67semidirect
1012. #452C22×C67semidirect
1013. #452C22×C67semidirect
1016. #450C22×C67semidirect
1017. #450C22×C67semidirect
1020. #449C22×C67semidirect
1021. #449C22×C67semidirect
1024. #446C22×C67semidirect
1025. #446C22×C67semidirect
1031. #442C22×C67semidirect
1032. #442C22×C67semidirect
1033. #442C22×C67semidirect
1034. #442C22×C67semidirect
1035. #442C22×C67semidirect
1036. #441C22×C67semidirect
1037. #441C22×C67semidirect
1038. #441C22×C67semidirect
1039. #440C22×C67semidirect
1040. #440C22×C67semidirect
1041. #440C22×C67semidirect
1042. C4×SD16C22×C67semidirect
1043. C4×SD16C22×C67semidirect
1044. C4×SD16C22×C67semidirect
1045. C4×SD16C22×C67semidirect
1046. C4×SD16C22×C67semidirect
1047. C4×SD16C22×C67semidirect
1048. C4×SD16C22×C67semidirect
1049. C4×SD16C22×C67semidirect
1050. C4×SD16C22×C67semidirect
1052. C4×D8C22×C67semidirect
1053. C4×D8C22×C67semidirect
1055. #435C22×C67semidirect
1056. #435C22×C67semidirect
1057. #435C22×C67semidirect
1059. C8×D4C22×C67semidirect
1060. #433C22×C67semidirect
1061. #433C22×C67semidirect
1062. #431C22×C67semidirect
1063. #428C22×C67semidirect
1064. C2×#106C22×C67semidirect
1065. C2×#106C22×C67semidirect
1066. #417C22×C67semidirect
1067. #417C22×C67semidirect
1068. #416C22×C67semidirect
1070. C2×#102C22×C67semidirect
1071. C2×#102C22×C67semidirect
1072. #405C22×C67semidirect
1073. #405C22×C67semidirect
1074. C2×#97C22×C67semidirect
1446. D8#41×C67semidirect

Maximal subgroups

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

subgroupindex
C67×#35202
C67×#35132
C67×#34012
C67×#33842
C67×#33762
C67×#33732
C67×#33452
C67×#33442
C67×#33352
C67×#33142
C67×#33072
C67×#33062
C67×#32962
C67×#32952
C67×#32802
C67×#32672
C67×#32642
C67×#31812
C67×#31792
C67×#31732
C67×#31252
C67×#31192
C67×#31182
C67×#31052
C67×#31012
C67×#29682
C67×#29522
C67×#29462
C2×#442×C672
#6152267