Finite Group Databasebeta

← C67×#61529 #30740780

Subgroups — C67×#61529 #30740780

Order 17152.

1846 conjugacy classes of subgroups.

The subgroup lattice has 1730 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C67×#3521C211yesmaximal, characteristic, complemented
2C67×#3514C211yesmaximal, characteristic, complemented
3C67×#3401C211yesmaximal, characteristic, complemented
4C67×#3384C211yesmaximal, characteristic, complemented
5C67×#3370C211yesmaximal, characteristic, complemented
6C67×#3367C211yesmaximal, characteristic, complemented
7C67×#3349C211yesmaximal, characteristic, complemented
8C67×#3347C211yesmaximal, characteristic, complemented
9C67×#3340C211yesmaximal, characteristic, complemented
10C67×#3319C211yesmaximal, characteristic, complemented
11C67×#3311C211yesmaximal, characteristic, complemented
12C67×#3311C211yesmaximal, characteristic, complemented
13C67×#3310C211yesmaximal, characteristic, complemented
14C67×#3303C211yesmaximal, characteristic, complemented
15C67×#3297C211yesmaximal, characteristic, complemented
16C67×#3280C211yesmaximal, characteristic, complemented
17C67×#3267C211yesmaximal, characteristic, complemented
18C67×#3264C211yesmaximal, characteristic, complemented
19C67×#3180C211yesmaximal, characteristic, complemented
20C67×#3178C211yesmaximal, characteristic, complemented
21C67×#3173C211yesmaximal, characteristic, complemented
22C67×#3124C211yesmaximal, characteristic, complemented
23C67×#3123C211yesmaximal, characteristic, complemented
24C67×#3118C211yesmaximal, characteristic, complemented
25C67×#3118C211yesmaximal, characteristic, complemented
26C67×#3106C211yesmaximal, characteristic, complemented
27C67×#3102C211yesmaximal, characteristic, complemented
28C67×#2968C211yesmaximal, characteristic, complemented
29C67×#2948C211yesmaximal, characteristic, complemented
30C67×#2946C211yesmaximal, characteristic, complemented
31C67×#2943C211yesmaximal, characteristic, complemented
32C2×AGL(1,ℤ/8)×C67C2211yescharacteristic
33C2×#135×C67C2211yescharacteristic
34C22×D8×C67C2211yescharacteristic
35#559×C67C2211yescharacteristic, complemented
36#556×C67C2211yescharacteristic
37#556×C67C2211yescharacteristic, complemented
38#556×C67C2211yescharacteristic, complemented
39#555×C67C2211yescharacteristic
40#555×C67C2211yescharacteristic, complemented
41#554×C67C2211yescharacteristic, complemented
42#553×C67—21no—
43#553×C67C2211yescharacteristic, complemented
44#552×C67—21no—
45#552×C67C2211yescharacteristic
46#551×C67—21no—
47#551×C67—21no—
48#551×C67—21no—
49#551×C67—21no—
50D4×Q8×C67C2211yescharacteristic, complemented
51#548×C67—21no—
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
60#542×C67C2211yescharacteristic, complemented
61#542×C67C2211yescharacteristic, complemented
62#541×C67C2211yescharacteristic, complemented
63#539×C67—21no—
64#538×C67—21no—
65#538×C67—21no—
66#538×C67—21no—
67#532×C67C2211yescharacteristic, complemented
68#529×C67—21no—
69#529×C67—21no—
70#529×C67C2211yescharacteristic
71#529×C67C2211yescharacteristic, complemented
72C2×#126×C67—21no—
73C2×#124×C67—21no—
74#520×C67C2211yescharacteristic, complemented
75#518×C67C2211yescharacteristic
76#518×C67C2211yescharacteristic, complemented
77#518×C67C2211yescharacteristic, complemented
78C4×#41×C67C2211yescharacteristic, complemented
79C4×#41×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#490×C67C2211yescharacteristic, complemented
87#489×C67C2211yescharacteristic, complemented
88#489×C67C2211yescharacteristic, complemented
89#489×C67C2211yescharacteristic, complemented
90#488×C67C2211yescharacteristic, complemented
91#487×C67C2211yescharacteristic, complemented
92#485×C67C2211yescharacteristic, complemented
93#485×C67C2211yescharacteristic, complemented
94#485×C67C2211yescharacteristic, complemented
95#485×C67C2211yescharacteristic, complemented
96#485×C67C2211yescharacteristic, complemented
97#484×C67C2211yescharacteristic, complemented
98#482×C67C2211yescharacteristic
99#482×C67C2211yescharacteristic, complemented
100#482×C67C2211yescharacteristic, complemented
101#482×C67C2211yescharacteristic, complemented
102#482×C67C2211yescharacteristic, complemented
103#480×C67C2211yescharacteristic, complemented
104#479×C67C2211yescharacteristic, complemented
105#478×C67C2211yescharacteristic, complemented
106#478×C67C2211yescharacteristic, complemented
107#478×C67C2211yescharacteristic, complemented
108#477×C67C2211yescharacteristic, complemented
109#477×C67C2211yescharacteristic, complemented
110#476×C67C2211yescharacteristic, complemented
111#476×C67C2211yescharacteristic, complemented
112#476×C67C2211yescharacteristic, complemented
113#474×C67C2211yescharacteristic, complemented
114#474×C67C2211yescharacteristic, complemented
115#474×C67C2211yescharacteristic, complemented
116#470×C67C2211yescharacteristic, complemented
117#470×C67C2211yescharacteristic, complemented
118#469×C67C2211yescharacteristic
119#468×C67C2211yescharacteristic
120#467×C67C2211yescharacteristic, complemented
121#466×C67C2211yescharacteristic, complemented
122#466×C67C2211yescharacteristic, complemented
123#465×C67C2211yescharacteristic
124#465×C67C2211yescharacteristic, complemented
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, complemented
158#442×C67C2211yescharacteristic, complemented
159#442×C67C2211yescharacteristic, complemented
160#442×C67C2211yescharacteristic, complemented
161#441×C67C2211yescharacteristic, complemented
162#441×C67C2211yescharacteristic, complemented
163#440×C67C2211yescharacteristic, complemented
164#440×C67C2211yescharacteristic, complemented
165#440×C67C2211yescharacteristic, complemented
166#440×C67C2211yescharacteristic, complemented
167#440×C67C2211yescharacteristic, complemented
168#440×C67C2211yescharacteristic, complemented
169#440×C67C2211yescharacteristic, complemented
170C4×Q16×C67C2211yescharacteristic, complemented
171C4×SD16×C67C2211yescharacteristic, complemented
172C4×SD16×C67C2211yescharacteristic, complemented
173C4×SD16×C67C2211yescharacteristic, complemented
174C4×SD16×C67C2211yescharacteristic, complemented
175C4×SD16×C67C2211yescharacteristic, complemented
176C4×D8×C67C2211yescharacteristic
177C4×D8×C67C2211yescharacteristic
178C4×D8×C67C2211yescharacteristic
179C4×D8×C67C2211yescharacteristic, complemented
180C4×D8×C67C2211yescharacteristic, complemented
181C4×D8×C67C2211yescharacteristic, complemented
182#435×C67C2211yescharacteristic
183#435×C67C2211yescharacteristic
184#435×C67C2211yescharacteristic, complemented
185#435×C67C2211yescharacteristic, complemented
186C8×D4×C67C2211yescharacteristic, complemented
187C8×D4×C67C2211yescharacteristic, complemented
188#433×C67C2211yescharacteristic, complemented
189#433×C67C2211yescharacteristic, complemented
190#431×C67C2211yescharacteristic, complemented
191#428×C67C2211yescharacteristic, complemented
192#427×C67C2211yescharacteristic, complemented
193#427×C67C2211yescharacteristic, complemented
194#418×C67C2211yescharacteristic
195#418×C67C2211yescharacteristic, complemented
196#416×C67C2211yescharacteristic, complemented
197#416×C67C2211yescharacteristic, complemented
198#416×C67C2211yescharacteristic, complemented
199C2×#102×C67C2211yescharacteristic, complemented
200#405×C67C2211yescharacteristic, complemented
201#405×C67C2211yescharacteristic, complemented
202C2×#97×C67C2211yescharacteristic, complemented
203C2×#41×C67—21no—
204C2×#41×C67C2311yescharacteristic
205C2×#41×C67C2311yescharacteristic
206C2×#41×C67C2311yescharacteristic
207C22×Q8×C67—21no—
208C22×D4×C67—21no—
209C22×D4×C67C2311yescharacteristic
210C22×D4×C67C2311yescharacteristic
211C22×D4×C67C2311yescharacteristic
212AGL(1,ℤ/8)×C67—24no—
213#135×C67—24no—
214C2×Q16×C67C2311yescharacteristic
215C2×Q16×C67C2311yescharacteristic
216C2×SD16×C67C2311yescharacteristic
217C2×SD16×C67C2311yescharacteristic
218C2×SD16×C67C2311yescharacteristic
219C2×SD16×C67C2311yescharacteristic
220C2×SD16×C67C2311yescharacteristic
221C2×SD16×C67C2311yescharacteristic
222C2×SD16×C67C2311yescharacteristic
223C2×SD16×C67C2311yescharacteristic
224C2×D8×C67—24no—
225C2×D8×C67C2311yescharacteristic
226C2×D8×C67C2311yescharacteristic
227C2×D8×C67C2311yescharacteristic
228C2×D8×C67C2311yescharacteristic
229C2×D8×C67C2311yescharacteristic
230C2×D8×C67C2311yescharacteristic
231C2×M16×C67C2311yescharacteristic
232C2×M16×C67C2311yescharacteristic
233C22×C8×C67C2311yescharacteristic
234C22×C8×C67C2311yescharacteristic
235C22×C8×C67C2311yescharacteristic
236C22×C8×C67C2311yescharacteristic
237C4⋊Q8×C67C2311yescharacteristic
238C4⋊Q8×C67C2311yescharacteristic
239C4⋊Q8×C67C2311yescharacteristic
240C4⋊Q8×C67C2311yescharacteristic
241C4⋊Q8×C67C2311yescharacteristic
242#127×C67C2311yescharacteristic
243#126×C67—21no—
244#126×C67—21no—
245#126×C67—21no—
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×C67—21no—
255#126×C67—21no—
256#126×C67—21no—
257#126×C67D411yescharacteristic
258#126×C67D411yescharacteristic
259#125×C67—21no—
260#125×C67—21no—
261#125×C67—21no—
262#125×C67D411yescharacteristic
263#125×C67C2311yescharacteristic
264#125×C67C2311yescharacteristic
265#124×C67—21no—
266#124×C67—21no—
267#124×C67—21no—
268#124×C67—21no—
269#124×C67—21no—
270#124×C67—21no—
271#124×C67—21no—
272#124×C67—21no—
273#124×C67—21no—
274#124×C67—21no—
275#124×C67—21no—
276#124×C67D411yescharacteristic
277#124×C67C2311yescharacteristic
278#124×C67C2311yescharacteristic
279#124×C67C2311yescharacteristic
280#124×C67C2311yescharacteristic
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×C67—21no—
293#123×C67—21no—
294#123×C67—21no—
295#123×C67D411yescharacteristic
296#123×C67D411yescharacteristic
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×C67D411yescharacteristic
308C22⋊Q8×C67C2311yescharacteristic
309C22⋊Q8×C67C2311yescharacteristic
310C22⋊Q8×C67C2311yescharacteristic
311C22⋊Q8×C67C2311yescharacteristic
312C22⋊Q8×C67C2311yescharacteristic
313C22⋊Q8×C67C2311yescharacteristic
314#121×C67—21no—
315#121×C67—21no—
316#121×C67—21no—
317#121×C67—21no—
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×C67D411yescharacteristic
325#121×C67C2311yescharacteristic
326#121×C67C2311yescharacteristic
327#121×C67C2311yescharacteristic
328#121×C67C2311yescharacteristic
329#121×C67C2311yescharacteristic
330#121×C67C2311yescharacteristic
331#120×C67—21no—
332#120×C67—21no—
333#120×C67—21no—
334#120×C67—21no—
335#120×C67—21no—
336#120×C67—21no—
337C4×Q8×C67—21no—
338C4×Q8×C67—21no—
339C4×Q8×C67C2311yescharacteristic
340C4×Q8×C67C2311yescharacteristic
341C4×Q8×C67C2311yescharacteristic
342C4×Q8×C67C2311yescharacteristic
343C4×Q8×C67C2311yescharacteristic
344C4×Q8×C67C2311yescharacteristic
345C4×Q8×C67C2311yescharacteristic
346C4×D4×C67—21no—
347C4×D4×C67—21no—
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×C67C2311yescharacteristic
363C4×D4×C67C2311yescharacteristic
364C4×D4×C67C2311yescharacteristic
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
379#117×C67—21no—
380#117×C67—21no—
381#117×C67—21no—
382#117×C67—21no—
383#117×C67—21no—
384#117×C67—21no—
385#117×C67—21no—
386#117×C67—21no—
387#117×C67C2311yescharacteristic
388#117×C67C2311yescharacteristic
389#117×C67C2311yescharacteristic
390#117×C67C2311yescharacteristic
391#117×C67C2311yescharacteristic
392#117×C67C2311yescharacteristic
393#117×C67C2311yescharacteristic
394C2×C4⋊C4×C67—21no—
395C2×C4⋊C4×C67—21no—
396C2×C4⋊C4×C67—21no—
397C2×C4⋊C4×C67C2311yescharacteristic
398C2×C22⋊C4×C67—21no—
399C2×C22⋊C4×C67—21no—
400C2×C22⋊C4×C67—21no—
401C2×C22⋊C4×C67—21no—
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×C42×C67—21no—
409C2×C42×C67—21no—
410C2×C42×C67C2311yescharacteristic
411#107×C67C2311yescharacteristic
412#107×C67C2311yescharacteristic
413#107×C67C2311yescharacteristic
414#107×C67C2311yescharacteristic
415#107×C67C2311yescharacteristic
416#107×C67C2311yescharacteristic
417#107×C67C2311yescharacteristic
418#107×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—
491C2×Q8×C67—21no—
492C2×Q8×C67—21no—
493C2×Q8×C67—21no—
494C2×Q8×C67—21no—
495C2×Q8×C67—82no—
496C2×Q8×C67C2×D411yescharacteristic
497C2×Q8×C67C2411yescharacteristic
498C2×Q8×C67C2411yescharacteristic
499C2×Q8×C67C2411yescharacteristic
500C2×D4×C67—22no—
501C2×D4×C67—22no—
502C2×D4×C67—22no—
503C2×D4×C67—21no—
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—41no—
518C2×D4×C67—41no—
519C2×D4×C67—41no—
520C2×D4×C67—82no—
521C2×D4×C67C2×D411yescharacteristic
522C2×D4×C67C2×D411yescharacteristic
523C2×D4×C67C2×D411yescharacteristic
524C2×D4×C67C2411yescharacteristic
525C2×D4×C67C2411yescharacteristic
526C2×D4×C67C2411yescharacteristic
527C2×D4×C67C2411yescharacteristic
528C2×D4×C67C2411yescharacteristic
529C22×C4×C67—21no—
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×C67C2×D411yescharacteristic
548C22×C4×C67C2×D411yescharacteristic
549C22×C4×C67C2411yescharacteristic
550C22×C4×C67C2411yescharacteristic
551C22×C4×C67C2411yescharacteristic
552Q16×C67—22no—
553Q16×C67—41no—
554SD16×C67—22no—
555SD16×C67—22no—
556SD16×C67—22no—
557SD16×C67—22no—
558SD16×C67—41no—
559SD16×C67—41no—
560SD16×C67—41no—
561SD16×C67—41no—
562D8×C67—22no—
563D8×C67—22no—
564D8×C67—22no—
565D8×C67—22no—
566D8×C67—41no—
567D8×C67#4114yescomplemented
568M16×C67—22no—
569M16×C67—41no—
570C2×C8×C67—22no—
571C2×C8×C67—22no—
572C2×C8×C67—41no—
573C2×C8×C67—41no—
574C2×C8×C67C2411yescharacteristic
575C2×C8×C67C2411yescharacteristic
576C2×C8×C67C2411yescharacteristic
577C2×C8×C67C2411yescharacteristic
578C2×C8×C67C2411yescharacteristic
579C2×C8×C67C2411yescharacteristic
580C2×C8×C67C2411yescharacteristic
581C2×C8×C67C2411yescharacteristic
582C4⋊C4×C67—21no—
583C4⋊C4×C67—21no—
584C4⋊C4×C67—21no—
585C4⋊C4×C67—21no—
586C4⋊C4×C67—21no—
587C4⋊C4×C67—21no—
588C4⋊C4×C67—21no—
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×C67C2×D411yescharacteristic
606C4⋊C4×C67C2×D411yescharacteristic
607C4⋊C4×C67C2×D411yescharacteristic
608C4⋊C4×C67C2×D411yescharacteristic
609C4⋊C4×C67C2×D411yescharacteristic
610C4⋊C4×C67C2×D411yescharacteristic
611C4⋊C4×C67C2×D411yescharacteristic
612C4⋊C4×C67C2×D411yescharacteristic
613C4⋊C4×C67C2×D411yescharacteristic
614C4⋊C4×C67C2×D411yescharacteristic
615C4⋊C4×C67C2411yescharacteristic
616C4⋊C4×C67C2411yescharacteristic
617C4⋊C4×C67C2411yescharacteristic
618C4⋊C4×C67C2411yescharacteristic
619C4⋊C4×C67C2411yescharacteristic
620C4⋊C4×C67C2411yescharacteristic
621C4⋊C4×C67C2411yescharacteristic
622C4⋊C4×C67C2411yescharacteristic
623C22⋊C4×C67—21no—
624C22⋊C4×C67—21no—
625C22⋊C4×C67—21no—
626C22⋊C4×C67—21no—
627C22⋊C4×C67—21no—
628C22⋊C4×C67—21no—
629C22⋊C4×C67—21no—
630C22⋊C4×C67—21no—
631C22⋊C4×C67—21no—
632C22⋊C4×C67—21no—
633C22⋊C4×C67—21no—
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×C67C2×D411yescharacteristic
663C22⋊C4×C67C2×D411yescharacteristic
664C22⋊C4×C67C2×D411yescharacteristic
665C22⋊C4×C67C2×D411yescharacteristic
666C22⋊C4×C67C2×D411yescharacteristic
667C22⋊C4×C67C2×D411yescharacteristic
668C22⋊C4×C67C2×D411yescharacteristic
669C22⋊C4×C67C2×D411yescharacteristic
670C22⋊C4×C67C2×D411yescharacteristic
671C22⋊C4×C67C2×D411yescharacteristic
672C42×C67—21no—
673C42×C67—21no—
674C42×C67—21no—
675C42×C67—21no—
676C42×C67—21no—
677C42×C67—21no—
678C42×C67—21no—
679C42×C67—21no—
680C42×C67—21no—
681C42×C67—21no—
682C42×C67—21no—
683C42×C67C2×D411yescharacteristic
684C42×C67C2×D411yescharacteristic
685C42×C67C2411yescharacteristic
686C42×C67C2411yescharacteristic
687C42×C67C2411yescharacteristic
688C42×C67C2411yescharacteristic
689C23×C67—21no—
690C23×C67—21no—
691C23×C67—21no—
692C23×C67—21no—
693C23×C67—21no—
694C23×C67—42no—
695C23×C67—42no—
696C23×C67—42no—
697C23×C67—81no—
698C23×C67—81no—
699C23×C67—81no—
700C23×C67—81no—
701C23×C67—81no—
702C23×C67—81no—
703C23×C67C22×D411yescharacteristic
704C23×C67C22×D411yescharacteristic
705C23×C67C22×D411yescharacteristic
706Q8×C67—21no—
707Q8×C67—21no—
708Q8×C67—21no—
709Q8×C67—21no—
710Q8×C67—21no—
711Q8×C67—21no—
712Q8×C67—41no—
713Q8×C67—42no—
714Q8×C67—81no—
715Q8×C67—81no—
716Q8×C67—81no—
717D4×C67—21no—
718D4×C67—21no—
719D4×C67—21no—
720D4×C67—21no—
721D4×C67—21no—
722D4×C67—21no—
723D4×C67—21no—
724D4×C67—21no—
725D4×C67—41no—
726D4×C67—41no—
727D4×C67—41no—
728D4×C67—42no—
729D4×C67—42no—
730D4×C67—42no—
731D4×C67—42no—
732D4×C67—42no—
733D4×C67—42no—
734D4×C67—42no—
735D4×C67—81no—
736D4×C67—81no—
737D4×C67—81no—
738D4×C67—81no—
739D4×C67—81no—
740D4×C67—81no—
741D4×C67—81no—
742D4×C67C2×#4112yes—
743D4×C67C2×#4112yes—
744C2×C4×C67—21no—
745C2×C4×C67—21no—
746C2×C4×C67—21no—
747C2×C4×C67—21no—
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—41no—
762C2×C4×C67—41no—
763C2×C4×C67—42no—
764C2×C4×C67—42no—
765C2×C4×C67—42no—
766C2×C4×C67—42no—
767C2×C4×C67—81no—
768C2×C4×C67—81no—
769C2×C4×C67—81no—
770C2×C4×C67—81no—
771C2×C4×C67—81no—
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×C67C22×D411yescharacteristic
782C2×C4×C67C22×D411yescharacteristic
783C2×C4×C67C22×D411yescharacteristic
784C2×C4×C67C22×D411yescharacteristic
785C2×C4×C67C22×D411yescharacteristic
786C2×C4×C67C22×D411yescharacteristic
787C2×C4×C67C22×D411yescharacteristic
788C2×C4×C67C22×D411yescharacteristic
789C2×C4×C67C22×D411yescharacteristic
790C2×C4×C67C22×D411yescharacteristic
791C2×C4×C67C22×D411yescharacteristic
792C2×C4×C67C2511yescharacteristic
793C8×C67—21no—
794C8×C67—21no—
795C8×C67—21no—
796C8×C67—21no—
797C8×C67—21no—
798C8×C67—21no—
799C8×C67—21no—
800C8×C67C2×#4112yes—
801C22×C67—21no—
802C22×C67—21no—
803C22×C67—21no—
804C22×C67—21no—
805C22×C67—21no—
806C22×C67—21no—
807C22×C67—21no—
808C22×C67—21no—
809C22×C67—21no—
810C22×C67—22no—
811C22×C67—22no—
812C22×C67—41no—
813C22×C67—41no—
814C22×C67—41no—
815C22×C67—41no—
816C22×C67—41no—
817C22×C67—41no—
818C22×C67—41no—
819C22×C67—41no—
820C22×C67—41no—
821C22×C67—41no—
822C22×C67—41no—
823C22×C67—41no—
824C22×C67—41no—
825C22×C67—162no—
826C22×C67—162no—
827C22×C67—162no—
828C22×C67C23×D411yescharacteristic
829C4×C67—21no—
830C4×C67—21no—
831C4×C67—21no—
832C4×C67—21no—
833C4×C67—21no—
834C4×C67—21no—
835C4×C67—21no—
836C4×C67—21no—
837C4×C67—21no—
838C4×C67—21no—
839C4×C67—21no—
840C4×C67—41no—
841C4×C67—41no—
842C4×C67—41no—
843C4×C67—41no—
844C4×C67—41no—
845C4×C67—41no—
846C4×C67—41no—
847C4×C67—41no—
848C4×C67—41no—
849C4×C67—41no—
850C4×C67—41no—
851C4×C67C22×#4111yescharacteristic
852C4×C67#58511yescharacteristic
853#61529C6711yesmaximal, characteristic, direct product factor, Sylow
854C2×C67—41no—
855C2×C67—41no—
856C2×C67—41no—
857C2×C67—42no—
858C2×C67—42no—
859C2×C67—81no—
860C2×C67—81no—
861C2×C67—81no—
862C2×C67D4×#4111yescharacteristic
863C2×C67#358411yescharacteristic
864C2×C67#358511yescharacteristic
865#3521C2×C6711yescharacteristic, complemented
866#3514C2×C6711yescharacteristic, complemented
867#3401C2×C6711yescharacteristic, complemented
868#3384C2×C6711yescharacteristic, complemented
869#3370C2×C6711yescharacteristic, complemented
870#3367C2×C6711yescharacteristic, complemented
871#3349C2×C6711yescharacteristic, complemented
872#3347C2×C6711yescharacteristic, complemented
873#3340C2×C6711yescharacteristic, complemented
874#3319C2×C6711yescharacteristic, complemented
875#3311C2×C6711yescharacteristic, complemented
876#3311C2×C6711yescharacteristic, complemented
877#3310C2×C6711yescharacteristic, complemented
878#3303C2×C6711yescharacteristic, complemented
879#3297C2×C6711yescharacteristic, complemented
880#3280C2×C6711yescharacteristic, complemented
881#3267C2×C6711yescharacteristic, complemented
882#3264C2×C6711yescharacteristic, complemented
883#3180C2×C6711yescharacteristic, complemented
884#3178C2×C6711yescharacteristic, complemented
885#3173C2×C6711yescharacteristic, complemented
886#3124C2×C6711yescharacteristic, complemented
887#3123C2×C6711yescharacteristic, complemented
888#3118C2×C6711yescharacteristic, complemented
889#3118C2×C6711yescharacteristic, complemented
890#3106C2×C6711yescharacteristic, complemented
891#3102C2×C6711yescharacteristic, complemented
892#2968C2×C6711yescharacteristic, complemented
893#2948C2×C6711yescharacteristic, complemented
894#2946C2×C6711yescharacteristic, complemented
895#2943C2×C6711yescharacteristic, complemented
896C67#6152911yescharacteristic, direct product factor, Sylow
897C2×AGL(1,ℤ/8)C22×C6711yescharacteristic
898C2×#135C22×C6711yescharacteristic
899C22×D8C22×C6711yescharacteristic
900#559C22×C6711yescharacteristic, complemented
901#556C22×C6711yescharacteristic
902#556C22×C6711yescharacteristic, complemented
903#556C22×C6711yescharacteristic, complemented
904#555C22×C6711yescharacteristic
905#555C22×C6711yescharacteristic, complemented
906#554C22×C6711yescharacteristic, complemented
907#553—21no—
908#553C22×C6711yescharacteristic, complemented
909#552—21no—
910#552C22×C6711yescharacteristic
911#551—21no—
912#551—21no—
913#551—21no—
914#551—21no—
915D4×Q8C22×C6711yescharacteristic, complemented
916#548—21no—
917#547C22×C6711yescharacteristic, complemented
918#546—21no—
919#546C22×C6711yescharacteristic
920#546C22×C6711yescharacteristic
921#546C22×C6711yescharacteristic, complemented
922#546C22×C6711yescharacteristic, complemented
923D42C22×C6711yescharacteristic
924#542C22×C6711yescharacteristic
925#542C22×C6711yescharacteristic, complemented
926#542C22×C6711yescharacteristic, complemented
927#541C22×C6711yescharacteristic, complemented
928#539—21no—
929#538—21no—
930#538—21no—
931#538—21no—
932#532C22×C6711yescharacteristic, complemented
933#529—21no—
934#529—21no—
935#529C22×C6711yescharacteristic
936#529C22×C6711yescharacteristic, complemented
937C2×#126—21no—
938C2×#124—21no—
939#520C22×C6711yescharacteristic, complemented
940#518C22×C6711yescharacteristic
941#518C22×C6711yescharacteristic, complemented
942#518C22×C6711yescharacteristic, complemented
943C4×#41C22×C6711yescharacteristic, complemented
944C4×#41C22×C6711yescharacteristic, complemented
945#501C22×C6711yescharacteristic, complemented
946#501C22×C6711yescharacteristic, complemented
947#498C22×C6711yescharacteristic, complemented
948#497C22×C6711yescharacteristic, complemented
949#496C22×C6711yescharacteristic
950#495C22×C6711yescharacteristic, complemented
951#490C22×C6711yescharacteristic, complemented
952#489C22×C6711yescharacteristic, complemented
953#489C22×C6711yescharacteristic, complemented
954#489C22×C6711yescharacteristic, complemented
955#488C22×C6711yescharacteristic, complemented
956#487C22×C6711yescharacteristic, complemented
957#485C22×C6711yescharacteristic, complemented
958#485C22×C6711yescharacteristic, complemented
959#485C22×C6711yescharacteristic, complemented
960#485C22×C6711yescharacteristic, complemented
961#485C22×C6711yescharacteristic, complemented
962#484C22×C6711yescharacteristic, complemented
963#482C22×C6711yescharacteristic
964#482C22×C6711yescharacteristic, complemented
965#482C22×C6711yescharacteristic, complemented
966#482C22×C6711yescharacteristic, complemented
967#482C22×C6711yescharacteristic, complemented
968#480C22×C6711yescharacteristic, complemented
969#479C22×C6711yescharacteristic, complemented
970#478C22×C6711yescharacteristic, complemented
971#478C22×C6711yescharacteristic, complemented
972#478C22×C6711yescharacteristic, complemented
973#477C22×C6711yescharacteristic, complemented
974#477C22×C6711yescharacteristic, complemented
975#476C22×C6711yescharacteristic, complemented
976#476C22×C6711yescharacteristic, complemented
977#476C22×C6711yescharacteristic, complemented
978#474C22×C6711yescharacteristic, complemented
979#474C22×C6711yescharacteristic, complemented
980#474C22×C6711yescharacteristic, complemented
981#470C22×C6711yescharacteristic, complemented
982#470C22×C6711yescharacteristic, complemented
983#469C22×C6711yescharacteristic
984#468C22×C6711yescharacteristic
985#467C22×C6711yescharacteristic, complemented
986#466C22×C6711yescharacteristic, complemented
987#466C22×C6711yescharacteristic, complemented
988#465C22×C6711yescharacteristic
989#465C22×C6711yescharacteristic, complemented
990#465C22×C6711yescharacteristic, complemented
991#465C22×C6711yescharacteristic, complemented
992#465C22×C6711yescharacteristic, complemented
993#464C22×C6711yescharacteristic, complemented
994#464C22×C6711yescharacteristic, complemented
995#463C22×C6711yescharacteristic
996#463C22×C6711yescharacteristic
997#463C22×C6711yescharacteristic, complemented
998#463C22×C6711yescharacteristic, complemented
999#463C22×C6711yescharacteristic, complemented
1000#463C22×C6711yescharacteristic, complemented
1001#461C22×C6711yescharacteristic, complemented
1002#461C22×C6711yescharacteristic, complemented
1003#460C22×C6711yescharacteristic, complemented
1004#459C22×C6711yescharacteristic
1005#452C22×C6711yescharacteristic, complemented
1006#452C22×C6711yescharacteristic, complemented
1007#450C22×C6711yescharacteristic
1008#450C22×C6711yescharacteristic
1009#450C22×C6711yescharacteristic, complemented
1010#450C22×C6711yescharacteristic, complemented
1011#449C22×C6711yescharacteristic
1012#449C22×C6711yescharacteristic
1013#449C22×C6711yescharacteristic, complemented
1014#449C22×C6711yescharacteristic, complemented
1015#447C22×C6711yescharacteristic
1016#447C22×C6711yescharacteristic
1017#446C22×C6711yescharacteristic, complemented
1018#446C22×C6711yescharacteristic, complemented
1019#442C22×C6711yescharacteristic
1020#442C22×C6711yescharacteristic
1021#442C22×C6711yescharacteristic
1022#442C22×C6711yescharacteristic, complemented
1023#442C22×C6711yescharacteristic, complemented
1024#442C22×C6711yescharacteristic, complemented
1025#442C22×C6711yescharacteristic, complemented
1026#441C22×C6711yescharacteristic, complemented
1027#441C22×C6711yescharacteristic, complemented
1028#440C22×C6711yescharacteristic, complemented
1029#440C22×C6711yescharacteristic, complemented
1030#440C22×C6711yescharacteristic, complemented
1031#440C22×C6711yescharacteristic, complemented
1032#440C22×C6711yescharacteristic, complemented
1033#440C22×C6711yescharacteristic, complemented
1034#440C22×C6711yescharacteristic, complemented
1035C4×Q16C22×C6711yescharacteristic, complemented
1036C4×SD16C22×C6711yescharacteristic, complemented
1037C4×SD16C22×C6711yescharacteristic, complemented
1038C4×SD16C22×C6711yescharacteristic, complemented
1039C4×SD16C22×C6711yescharacteristic, complemented
1040C4×SD16C22×C6711yescharacteristic, complemented
1041C4×D8C22×C6711yescharacteristic
1042C4×D8C22×C6711yescharacteristic
1043C4×D8C22×C6711yescharacteristic
1044C4×D8C22×C6711yescharacteristic, complemented
1045C4×D8C22×C6711yescharacteristic, complemented
1046C4×D8C22×C6711yescharacteristic, complemented
1047#435C22×C6711yescharacteristic
1048#435C22×C6711yescharacteristic
1049#435C22×C6711yescharacteristic, complemented
1050#435C22×C6711yescharacteristic, complemented
1051C8×D4C22×C6711yescharacteristic, complemented
1052C8×D4C22×C6711yescharacteristic, complemented
1053#433C22×C6711yescharacteristic, complemented
1054#433C22×C6711yescharacteristic, complemented
1055#431C22×C6711yescharacteristic, complemented
1056#428C22×C6711yescharacteristic, complemented
1057#427C22×C6711yescharacteristic, complemented
1058#427C22×C6711yescharacteristic, complemented
1059#418C22×C6711yescharacteristic
1060#418C22×C6711yescharacteristic, complemented
1061#416C22×C6711yescharacteristic, complemented
1062#416C22×C6711yescharacteristic, complemented
1063#416C22×C6711yescharacteristic, complemented
1064C2×#102C22×C6711yescharacteristic, complemented
1065#405C22×C6711yescharacteristic, complemented
1066#405C22×C6711yescharacteristic, complemented
1067C2×#97C22×C6711yescharacteristic, complemented
1068C2×#41—21no—
1069C2×#41C23×C6711yescharacteristic
1070C2×#41C23×C6711yescharacteristic
1071C2×#41C23×C6711yescharacteristic
1072C22×Q8—21no—
1073C22×D4—21no—
1074C22×D4C23×C6711yescharacteristic
1075C22×D4C23×C6711yescharacteristic
1076C22×D4C23×C6711yescharacteristic
1077AGL(1,ℤ/8)—24no—
1078#135—24no—
1079C2×Q16C23×C6711yescharacteristic
1080C2×Q16C23×C6711yescharacteristic
1081C2×SD16C23×C6711yescharacteristic
1082C2×SD16C23×C6711yescharacteristic
1083C2×SD16C23×C6711yescharacteristic
1084C2×SD16C23×C6711yescharacteristic
1085C2×SD16C23×C6711yescharacteristic
1086C2×SD16C23×C6711yescharacteristic
1087C2×SD16C23×C6711yescharacteristic
1088C2×SD16C23×C6711yescharacteristic
1089C2×D8—24no—
1090C2×D8C23×C6711yescharacteristic
1091C2×D8C23×C6711yescharacteristic
1092C2×D8C23×C6711yescharacteristic
1093C2×D8C23×C6711yescharacteristic
1094C2×D8C23×C6711yescharacteristic
1095C2×D8C23×C6711yescharacteristic
1096C2×M16C23×C6711yescharacteristic
1097C2×M16C23×C6711yescharacteristic
1098C22×C8C23×C6711yescharacteristic
1099C22×C8C23×C6711yescharacteristic
1100C22×C8C23×C6711yescharacteristic
1101C22×C8C23×C6711yescharacteristic
1102C4⋊Q8C23×C6711yescharacteristic
1103C4⋊Q8C23×C6711yescharacteristic
1104C4⋊Q8C23×C6711yescharacteristic
1105C4⋊Q8C23×C6711yescharacteristic
1106C4⋊Q8C23×C6711yescharacteristic
1107#127C23×C6711yescharacteristic
1108#126—21no—
1109#126—21no—
1110#126—21no—
1111#126—21no—
1112#126—21no—
1113#126—21no—
1114#126—21no—
1115#126—21no—
1116#126—21no—
1117#126—21no—
1118#126—21no—
1119#126—21no—
1120#126—21no—
1121#126—21no—
1122#126D4×C6711yescharacteristic
1123#126D4×C6711yescharacteristic
1124#125—21no—
1125#125—21no—
1126#125—21no—
1127#125D4×C6711yescharacteristic
1128#125C23×C6711yescharacteristic
1129#125C23×C6711yescharacteristic
1130#124—21no—
1131#124—21no—
1132#124—21no—
1133#124—21no—
1134#124—21no—
1135#124—21no—
1136#124—21no—
1137#124—21no—
1138#124—21no—
1139#124—21no—
1140#124—21no—
1141#124D4×C6711yescharacteristic
1142#124C23×C6711yescharacteristic
1143#124C23×C6711yescharacteristic
1144#124C23×C6711yescharacteristic
1145#124C23×C6711yescharacteristic
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#123D4×C6711yescharacteristic
1161#123D4×C6711yescharacteristic
1162C22⋊Q8—21no—
1163C22⋊Q8—21no—
1164C22⋊Q8—21no—
1165C22⋊Q8—21no—
1166C22⋊Q8—21no—
1167C22⋊Q8—21no—
1168C22⋊Q8—21no—
1169C22⋊Q8—21no—
1170C22⋊Q8—21no—
1171C22⋊Q8—21no—
1172C22⋊Q8D4×C6711yescharacteristic
1173C22⋊Q8C23×C6711yescharacteristic
1174C22⋊Q8C23×C6711yescharacteristic
1175C22⋊Q8C23×C6711yescharacteristic
1176C22⋊Q8C23×C6711yescharacteristic
1177C22⋊Q8C23×C6711yescharacteristic
1178C22⋊Q8C23×C6711yescharacteristic
1179#121—21no—
1180#121—21no—
1181#121—21no—
1182#121—21no—
1183#121—21no—
1184#121—21no—
1185#121—21no—
1186#121—21no—
1187#121—21no—
1188#121—21no—
1189#121D4×C6711yescharacteristic
1190#121C23×C6711yescharacteristic
1191#121C23×C6711yescharacteristic
1192#121C23×C6711yescharacteristic
1193#121C23×C6711yescharacteristic
1194#121C23×C6711yescharacteristic
1195#121C23×C6711yescharacteristic
1196#120—21no—
1197#120—21no—
1198#120—21no—
1199#120—21no—
1200#120—21no—
1201#120—21no—
1202C4×Q8—21no—
1203C4×Q8—21no—
1204C4×Q8C23×C6711yescharacteristic
1205C4×Q8C23×C6711yescharacteristic
1206C4×Q8C23×C6711yescharacteristic
1207C4×Q8C23×C6711yescharacteristic
1208C4×Q8C23×C6711yescharacteristic
1209C4×Q8C23×C6711yescharacteristic
1210C4×Q8C23×C6711yescharacteristic
1211C4×D4—21no—
1212C4×D4—21no—
1213C4×D4—21no—
1214C4×D4—21no—
1215C4×D4—21no—
1216C4×D4—21no—
1217C4×D4—21no—
1218C4×D4—21no—
1219C4×D4—21no—
1220C4×D4—21no—
1221C4×D4—21no—
1222C4×D4—21no—
1223C4×D4—21no—
1224C4×D4—21no—
1225C4×D4—21no—
1226C4×D4—21no—
1227C4×D4C23×C6711yescharacteristic
1228C4×D4C23×C6711yescharacteristic
1229C4×D4C23×C6711yescharacteristic
1230C4×D4C23×C6711yescharacteristic
1231C4×D4C23×C6711yescharacteristic
1232C4×D4C23×C6711yescharacteristic
1233C4×D4C23×C6711yescharacteristic
1234C4×D4C23×C6711yescharacteristic
1235C4×D4C23×C6711yescharacteristic
1236C4×D4C23×C6711yescharacteristic
1237C4×D4C23×C6711yescharacteristic
1238C4×D4C23×C6711yescharacteristic
1239C4×D4C23×C6711yescharacteristic
1240C4×D4C23×C6711yescharacteristic
1241C4×D4C23×C6711yescharacteristic
1242C4×D4C23×C6711yescharacteristic
1243C4×D4C23×C6711yescharacteristic
1244#117—21no—
1245#117—21no—
1246#117—21no—
1247#117—21no—
1248#117—21no—
1249#117—21no—
1250#117—21no—
1251#117—21no—
1252#117C23×C6711yescharacteristic
1253#117C23×C6711yescharacteristic
1254#117C23×C6711yescharacteristic
1255#117C23×C6711yescharacteristic
1256#117C23×C6711yescharacteristic
1257#117C23×C6711yescharacteristic
1258#117C23×C6711yescharacteristic
1259C2×C4⋊C4—21no—
1260C2×C4⋊C4—21no—
1261C2×C4⋊C4—21no—
1262C2×C4⋊C4C23×C6711yescharacteristic
1263C2×C22⋊C4—21no—
1264C2×C22⋊C4—21no—
1265C2×C22⋊C4—21no—
1266C2×C22⋊C4—21no—
1267C2×C22⋊C4—21no—
1268C2×C22⋊C4—21no—
1269C2×C22⋊C4—21no—
1270C2×C22⋊C4—21no—
1271C2×C22⋊C4—21no—
1272C2×C22⋊C4—21no—
1273C2×C42—21no—
1274C2×C42—21no—
1275C2×C42C23×C6711yescharacteristic
1276#107C23×C6711yescharacteristic
1277#107C23×C6711yescharacteristic
1278#107C23×C6711yescharacteristic
1279#107C23×C6711yescharacteristic
1280#107C23×C6711yescharacteristic
1281#107C23×C6711yescharacteristic
1282#107C23×C6711yescharacteristic
1283#107C23×C6711yescharacteristic
1284#106C23×C6711yescharacteristic
1285#106C23×C6711yescharacteristic
1286#106C23×C6711yescharacteristic
1287#106C23×C6711yescharacteristic
1288#106C23×C6711yescharacteristic
1289#106C23×C6711yescharacteristic
1290#106C23×C6711yescharacteristic
1291#106C23×C6711yescharacteristic
1292C4⋊C8C23×C6711yescharacteristic
1293C4⋊C8C23×C6711yescharacteristic
1294C4⋊C8C23×C6711yescharacteristic
1295C4⋊C8C23×C6711yescharacteristic
1296C4⋊C8C23×C6711yescharacteristic
1297C4⋊C8C23×C6711yescharacteristic
1298#103C23×C6711yescharacteristic
1299#103C23×C6711yescharacteristic
1300#103C23×C6711yescharacteristic
1301#103C23×C6711yescharacteristic
1302#103C23×C6711yescharacteristic
1303#103C23×C6711yescharacteristic
1304#103C23×C6711yescharacteristic
1305#103C23×C6711yescharacteristic
1306#103C23×C6711yescharacteristic
1307#103C23×C6711yescharacteristic
1308#103C23×C6711yescharacteristic
1309#103C23×C6711yescharacteristic
1310#102C23×C6711yescharacteristic
1311#102C23×C6711yescharacteristic
1312#102C23×C6711yescharacteristic
1313#102C23×C6711yescharacteristic
1314#102C23×C6711yescharacteristic
1315#102C23×C6711yescharacteristic
1316#102C23×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
1330C22⋊C8C23×C6711yescharacteristic
1331C22⋊C8C23×C6711yescharacteristic
1332C22⋊C8C23×C6711yescharacteristic
1333C22⋊C8C23×C6711yescharacteristic
1334C22⋊C8C23×C6711yescharacteristic
1335C22⋊C8C23×C6711yescharacteristic
1336#97C23×C6711yescharacteristic
1337#97C23×C6711yescharacteristic
1338#97C23×C6711yescharacteristic
1339#97C23×C6711yescharacteristic
1340#97C23×C6711yescharacteristic
1341#97C23×C6711yescharacteristic
1342C4×C8C23×C6711yescharacteristic
1343C4×C8C23×C6711yescharacteristic
1344C4×C8C23×C6711yescharacteristic
1345C4×C8C23×C6711yescharacteristic
1346C24—21no—
1347C24—21no—
1348C24—21no—
1349#41—22no—
1350#41—22no—
1351#41—22no—
1352#41—41no—
1353#41—41no—
1354#41—41no—
1355#41—82no—
1356C2×Q8—21no—
1357C2×Q8—21no—
1358C2×Q8—21no—
1359C2×Q8—21no—
1360C2×Q8—82no—
1361C2×Q8C2×D4×C6711yescharacteristic
1362C2×Q8C24×C6711yescharacteristic
1363C2×Q8C24×C6711yescharacteristic
1364C2×Q8C24×C6711yescharacteristic
1365C2×D4—22no—
1366C2×D4—22no—
1367C2×D4—22no—
1368C2×D4—21no—
1369C2×D4—21no—
1370C2×D4—21no—
1371C2×D4—21no—
1372C2×D4—21no—
1373C2×D4—21no—
1374C2×D4—21no—
1375C2×D4—21no—
1376C2×D4—21no—
1377C2×D4—21no—
1378C2×D4—21no—
1379C2×D4—21no—
1380C2×D4—21no—
1381C2×D4—21no—
1382C2×D4—41no—
1383C2×D4—41no—
1384C2×D4—41no—
1385C2×D4—82no—
1386C2×D4C2×D4×C6711yescharacteristic
1387C2×D4C2×D4×C6711yescharacteristic
1388C2×D4C2×D4×C6711yescharacteristic
1389C2×D4C24×C6711yescharacteristic
1390C2×D4C24×C6711yescharacteristic
1391C2×D4C24×C6711yescharacteristic
1392C2×D4C24×C6711yescharacteristic
1393C2×D4C24×C6711yescharacteristic
1394C22×C4—21no—
1395C22×C4—21no—
1396C22×C4—21no—
1397C22×C4—21no—
1398C22×C4—21no—
1399C22×C4—21no—
1400C22×C4—21no—
1401C22×C4—21no—
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×C4C2×D4×C6711yescharacteristic
1413C22×C4C2×D4×C6711yescharacteristic
1414C22×C4C24×C6711yescharacteristic
1415C22×C4C24×C6711yescharacteristic
1416C22×C4C24×C6711yescharacteristic
1417Q16—22no—
1418Q16—41no—
1419SD16—22no—
1420SD16—22no—
1421SD16—22no—
1422SD16—22no—
1423SD16—41no—
1424SD16—41no—
1425SD16—41no—
1426SD16—41no—
1427D8—22no—
1428D8—22no—
1429D8—22no—
1430D8—22no—
1431D8—41no—
1432D8#41×C6714yescomplemented
1433M16—22no—
1434M16—41no—
1435C2×C8—22no—
1436C2×C8—22no—
1437C2×C8—41no—
1438C2×C8—41no—
1439C2×C8C24×C6711yescharacteristic
1440C2×C8C24×C6711yescharacteristic
1441C2×C8C24×C6711yescharacteristic
1442C2×C8C24×C6711yescharacteristic
1443C2×C8C24×C6711yescharacteristic
1444C2×C8C24×C6711yescharacteristic
1445C2×C8C24×C6711yescharacteristic
1446C2×C8C24×C6711yescharacteristic
1447C4⋊C4—21no—
1448C4⋊C4—21no—
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—21no—
1455C4⋊C4—21no—
1456C4⋊C4—21no—
1457C4⋊C4—21no—
1458C4⋊C4—21no—
1459C4⋊C4—21no—
1460C4⋊C4—21no—
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⋊C4C2×D4×C6711yescharacteristic
1471C4⋊C4C2×D4×C6711yescharacteristic
1472C4⋊C4C2×D4×C6711yescharacteristic
1473C4⋊C4C2×D4×C6711yescharacteristic
1474C4⋊C4C2×D4×C6711yescharacteristic
1475C4⋊C4C2×D4×C6711yescharacteristic
1476C4⋊C4C2×D4×C6711yescharacteristic
1477C4⋊C4C2×D4×C6711yescharacteristic
1478C4⋊C4C2×D4×C6711yescharacteristic
1479C4⋊C4C2×D4×C6711yescharacteristic
1480C4⋊C4C24×C6711yescharacteristic
1481C4⋊C4C24×C6711yescharacteristic
1482C4⋊C4C24×C6711yescharacteristic
1483C4⋊C4C24×C6711yescharacteristic
1484C4⋊C4C24×C6711yescharacteristic
1485C4⋊C4C24×C6711yescharacteristic
1486C4⋊C4C24×C6711yescharacteristic
1487C4⋊C4C24×C6711yescharacteristic
1488C22⋊C4—21no—
1489C22⋊C4—21no—
1490C22⋊C4—21no—
1491C22⋊C4—21no—
1492C22⋊C4—21no—
1493C22⋊C4—21no—
1494C22⋊C4—21no—
1495C22⋊C4—21no—
1496C22⋊C4—21no—
1497C22⋊C4—21no—
1498C22⋊C4—21no—
1499C22⋊C4—21no—
1500C22⋊C4—21no—
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
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⋊C4C2×D4×C6711yescharacteristic
1528C22⋊C4C2×D4×C6711yescharacteristic
1529C22⋊C4C2×D4×C6711yescharacteristic
1530C22⋊C4C2×D4×C6711yescharacteristic
1531C22⋊C4C2×D4×C6711yescharacteristic
1532C22⋊C4C2×D4×C6711yescharacteristic
1533C22⋊C4C2×D4×C6711yescharacteristic
1534C22⋊C4C2×D4×C6711yescharacteristic
1535C22⋊C4C2×D4×C6711yescharacteristic
1536C22⋊C4C2×D4×C6711yescharacteristic
1537C42—21no—
1538C42—21no—
1539C42—21no—
1540C42—21no—
1541C42—21no—
1542C42—21no—
1543C42—21no—
1544C42—21no—
1545C42—21no—
1546C42—21no—
1547C42—21no—
1548C42C2×D4×C6711yescharacteristic
1549C42C2×D4×C6711yescharacteristic
1550C42C24×C6711yescharacteristic
1551C42C24×C6711yescharacteristic
1552C42C24×C6711yescharacteristic
1553C42C24×C6711yescharacteristic
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—42no—
1560C23—42no—
1561C23—42no—
1562C23—81no—
1563C23—81no—
1564C23—81no—
1565C23—81no—
1566C23—81no—
1567C23—81no—
1568C23C22×D4×C6711yescharacteristic
1569C23C22×D4×C6711yescharacteristic
1570C23C22×D4×C6711yescharacteristic
1571Q8—21no—
1572Q8—21no—
1573Q8—21no—
1574Q8—21no—
1575Q8—21no—
1576Q8—21no—
1577Q8—41no—
1578Q8—42no—
1579Q8—81no—
1580Q8—81no—
1581Q8—81no—
1582D4—21no—
1583D4—21no—
1584D4—21no—
1585D4—21no—
1586D4—21no—
1587D4—21no—
1588D4—21no—
1589D4—21no—
1590D4—41no—
1591D4—41no—
1592D4—41no—
1593D4—42no—
1594D4—42no—
1595D4—42no—
1596D4—42no—
1597D4—42no—
1598D4—42no—
1599D4—42no—
1600D4—81no—
1601D4—81no—
1602D4—81no—
1603D4—81no—
1604D4—81no—
1605D4—81no—
1606D4—81no—
1607D4C2×#41×C6712yes—
1608D4C2×#41×C6712yes—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—41no—
1627C2×C4—41no—
1628C2×C4—42no—
1629C2×C4—42no—
1630C2×C4—42no—
1631C2×C4—42no—
1632C2×C4—81no—
1633C2×C4—81no—
1634C2×C4—81no—
1635C2×C4—81no—
1636C2×C4—81no—
1637C2×C4—81no—
1638C2×C4—81no—
1639C2×C4—81no—
1640C2×C4—81no—
1641C2×C4—81no—
1642C2×C4—81no—
1643C2×C4—81no—
1644C2×C4—81no—
1645C2×C4—81no—
1646C2×C4C22×D4×C6711yescharacteristic
1647C2×C4C22×D4×C6711yescharacteristic
1648C2×C4C22×D4×C6711yescharacteristic
1649C2×C4C22×D4×C6711yescharacteristic
1650C2×C4C22×D4×C6711yescharacteristic
1651C2×C4C22×D4×C6711yescharacteristic
1652C2×C4C22×D4×C6711yescharacteristic
1653C2×C4C22×D4×C6711yescharacteristic
1654C2×C4C22×D4×C6711yescharacteristic
1655C2×C4C22×D4×C6711yescharacteristic
1656C2×C4C22×D4×C6711yescharacteristic
1657C2×C4C25×C6711yescharacteristic
1658C8—21no—
1659C8—21no—
1660C8—21no—
1661C8—21no—
1662C8—21no—
1663C8—21no—
1664C8—21no—
1665C8C2×#41×C6712yes—
1666C22—21no—
1667C22—21no—
1668C22—21no—
1669C22—21no—
1670C22—21no—
1671C22—21no—
1672C22—21no—
1673C22—21no—
1674C22—21no—
1675C22—22no—
1676C22—22no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—162no—
1691C22—162no—
1692C22—162no—
1693C22C23×D4×C6711yescharacteristic
1694C4—21no—
1695C4—21no—
1696C4—21no—
1697C4—21no—
1698C4—21no—
1699C4—21no—
1700C4—21no—
1701C4—21no—
1702C4—21no—
1703C4—21no—
1704C4—21no—
1705C4—41no—
1706C4—41no—
1707C4—41no—
1708C4—41no—
1709C4—41no—
1710C4—41no—
1711C4—41no—
1712C4—41no—
1713C4—41no—
1714C4—41no—
1715C4—41no—
1716C4C22×#41×C6711yescharacteristic
1717C4#585×C6711yescharacteristic
1718C2—41no—
1719C2—41no—
1720C2—41no—
1721C2—42no—
1722C2—42no—
1723C2—81no—
1724C2—81no—
1725C2—81no—
1726C2D4×#41×C6711yescharacteristic
1727C2C67×#358411yescharacteristic
1728C2C67×#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×#3521C2semidirect
2. C67×#3514C2semidirect
3. C67×#3401C2semidirect
4. C67×#3384C2semidirect
5. C67×#3370C2semidirect
6. C67×#3367C2semidirect
7. C67×#3349C2semidirect
8. C67×#3347C2semidirect
9. C67×#3340C2semidirect
10. C67×#3319C2semidirect
11. C67×#3311C2semidirect
12. C67×#3311C2semidirect
13. C67×#3310C2semidirect
14. C67×#3303C2semidirect
15. C67×#3297C2semidirect
16. C67×#3280C2semidirect
17. C67×#3267C2semidirect
18. C67×#3264C2semidirect
19. C67×#3180C2semidirect
20. C67×#3178C2semidirect
21. C67×#3173C2semidirect
22. C67×#3124C2semidirect
23. C67×#3123C2semidirect
24. C67×#3118C2semidirect
25. C67×#3118C2semidirect
26. C67×#3106C2semidirect
27. C67×#3102C2semidirect
28. C67×#2968C2semidirect
29. C67×#2948C2semidirect
30. C67×#2946C2semidirect
31. C67×#2943C2semidirect
35. #559×C67C22semidirect
37. #556×C67C22semidirect
38. #556×C67C22semidirect
40. #555×C67C22semidirect
41. #554×C67C22semidirect
43. #553×C67C22semidirect
50. D4×Q8×C67C22semidirect
52. #547×C67C22semidirect
56. #546×C67C22semidirect
57. #546×C67C22semidirect
60. #542×C67C22semidirect
61. #542×C67C22semidirect
62. #541×C67C22semidirect
67. #532×C67C22semidirect
71. #529×C67C22semidirect
74. #520×C67C22semidirect
76. #518×C67C22semidirect
77. #518×C67C22semidirect
78. C4×#41×C67C22semidirect
79. C4×#41×C67C22semidirect
80. #501×C67C22semidirect
81. #501×C67C22semidirect
82. #498×C67C22semidirect
83. #497×C67C22semidirect
85. #495×C67C22semidirect
86. #490×C67C22semidirect
87. #489×C67C22semidirect
88. #489×C67C22semidirect
89. #489×C67C22semidirect
90. #488×C67C22semidirect
91. #487×C67C22semidirect
92. #485×C67C22semidirect
93. #485×C67C22semidirect
94. #485×C67C22semidirect
95. #485×C67C22semidirect
96. #485×C67C22semidirect
97. #484×C67C22semidirect
99. #482×C67C22semidirect
100. #482×C67C22semidirect
101. #482×C67C22semidirect
102. #482×C67C22semidirect
103. #480×C67C22semidirect
104. #479×C67C22semidirect
105. #478×C67C22semidirect
106. #478×C67C22semidirect
107. #478×C67C22semidirect
108. #477×C67C22semidirect
109. #477×C67C22semidirect
110. #476×C67C22semidirect
111. #476×C67C22semidirect
112. #476×C67C22semidirect
113. #474×C67C22semidirect
114. #474×C67C22semidirect
115. #474×C67C22semidirect
116. #470×C67C22semidirect
117. #470×C67C22semidirect
120. #467×C67C22semidirect
121. #466×C67C22semidirect
122. #466×C67C22semidirect
124. #465×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
157. #442×C67C22semidirect
158. #442×C67C22semidirect
159. #442×C67C22semidirect
160. #442×C67C22semidirect
161. #441×C67C22semidirect
162. #441×C67C22semidirect
163. #440×C67C22semidirect
164. #440×C67C22semidirect
165. #440×C67C22semidirect
166. #440×C67C22semidirect
167. #440×C67C22semidirect
168. #440×C67C22semidirect
169. #440×C67C22semidirect
170. C4×Q16×C67C22semidirect
171. C4×SD16×C67C22semidirect
172. C4×SD16×C67C22semidirect
173. C4×SD16×C67C22semidirect
174. C4×SD16×C67C22semidirect
175. C4×SD16×C67C22semidirect
179. C4×D8×C67C22semidirect
180. C4×D8×C67C22semidirect
181. C4×D8×C67C22semidirect
184. #435×C67C22semidirect
185. #435×C67C22semidirect
186. C8×D4×C67C22semidirect
187. C8×D4×C67C22semidirect
188. #433×C67C22semidirect
189. #433×C67C22semidirect
190. #431×C67C22semidirect
191. #428×C67C22semidirect
192. #427×C67C22semidirect
193. #427×C67C22semidirect
195. #418×C67C22semidirect
196. #416×C67C22semidirect
197. #416×C67C22semidirect
198. #416×C67C22semidirect
199. C2×#102×C67C22semidirect
200. #405×C67C22semidirect
201. #405×C67C22semidirect
202. C2×#97×C67C22semidirect
567. D8×C67#41semidirect
853. #61529C67direct (N × H)
865. #3521C2×C67semidirect
866. #3514C2×C67semidirect
867. #3401C2×C67semidirect
868. #3384C2×C67semidirect
869. #3370C2×C67semidirect
870. #3367C2×C67semidirect
871. #3349C2×C67semidirect
872. #3347C2×C67semidirect
873. #3340C2×C67semidirect
874. #3319C2×C67semidirect
875. #3311C2×C67semidirect
876. #3311C2×C67semidirect
877. #3310C2×C67semidirect
878. #3303C2×C67semidirect
879. #3297C2×C67semidirect
880. #3280C2×C67semidirect
881. #3267C2×C67semidirect
882. #3264C2×C67semidirect
883. #3180C2×C67semidirect
884. #3178C2×C67semidirect
885. #3173C2×C67semidirect
886. #3124C2×C67semidirect
887. #3123C2×C67semidirect
888. #3118C2×C67semidirect
889. #3118C2×C67semidirect
890. #3106C2×C67semidirect
891. #3102C2×C67semidirect
892. #2968C2×C67semidirect
893. #2948C2×C67semidirect
894. #2946C2×C67semidirect
895. #2943C2×C67semidirect
896. C67#61529direct (N × H)
900. #559C22×C67semidirect
902. #556C22×C67semidirect
903. #556C22×C67semidirect
905. #555C22×C67semidirect
906. #554C22×C67semidirect
908. #553C22×C67semidirect
915. D4×Q8C22×C67semidirect
917. #547C22×C67semidirect
921. #546C22×C67semidirect
922. #546C22×C67semidirect
925. #542C22×C67semidirect
926. #542C22×C67semidirect
927. #541C22×C67semidirect
932. #532C22×C67semidirect
936. #529C22×C67semidirect
939. #520C22×C67semidirect
941. #518C22×C67semidirect
942. #518C22×C67semidirect
943. C4×#41C22×C67semidirect
944. C4×#41C22×C67semidirect
945. #501C22×C67semidirect
946. #501C22×C67semidirect
947. #498C22×C67semidirect
948. #497C22×C67semidirect
950. #495C22×C67semidirect
951. #490C22×C67semidirect
952. #489C22×C67semidirect
953. #489C22×C67semidirect
954. #489C22×C67semidirect
955. #488C22×C67semidirect
956. #487C22×C67semidirect
957. #485C22×C67semidirect
958. #485C22×C67semidirect
959. #485C22×C67semidirect
960. #485C22×C67semidirect
961. #485C22×C67semidirect
962. #484C22×C67semidirect
964. #482C22×C67semidirect
965. #482C22×C67semidirect
966. #482C22×C67semidirect
967. #482C22×C67semidirect
968. #480C22×C67semidirect
969. #479C22×C67semidirect
970. #478C22×C67semidirect
971. #478C22×C67semidirect
972. #478C22×C67semidirect
973. #477C22×C67semidirect
974. #477C22×C67semidirect
975. #476C22×C67semidirect
976. #476C22×C67semidirect
977. #476C22×C67semidirect
978. #474C22×C67semidirect
979. #474C22×C67semidirect
980. #474C22×C67semidirect
981. #470C22×C67semidirect
982. #470C22×C67semidirect
985. #467C22×C67semidirect
986. #466C22×C67semidirect
987. #466C22×C67semidirect
989. #465C22×C67semidirect
990. #465C22×C67semidirect
991. #465C22×C67semidirect
992. #465C22×C67semidirect
993. #464C22×C67semidirect
994. #464C22×C67semidirect
997. #463C22×C67semidirect
998. #463C22×C67semidirect
999. #463C22×C67semidirect
1000. #463C22×C67semidirect
1001. #461C22×C67semidirect
1002. #461C22×C67semidirect
1003. #460C22×C67semidirect
1005. #452C22×C67semidirect
1006. #452C22×C67semidirect
1009. #450C22×C67semidirect
1010. #450C22×C67semidirect
1013. #449C22×C67semidirect
1014. #449C22×C67semidirect
1017. #446C22×C67semidirect
1018. #446C22×C67semidirect
1022. #442C22×C67semidirect
1023. #442C22×C67semidirect
1024. #442C22×C67semidirect
1025. #442C22×C67semidirect
1026. #441C22×C67semidirect
1027. #441C22×C67semidirect
1028. #440C22×C67semidirect
1029. #440C22×C67semidirect
1030. #440C22×C67semidirect
1031. #440C22×C67semidirect
1032. #440C22×C67semidirect
1033. #440C22×C67semidirect
1034. #440C22×C67semidirect
1035. C4×Q16C22×C67semidirect
1036. C4×SD16C22×C67semidirect
1037. C4×SD16C22×C67semidirect
1038. C4×SD16C22×C67semidirect
1039. C4×SD16C22×C67semidirect
1040. C4×SD16C22×C67semidirect
1044. C4×D8C22×C67semidirect
1045. C4×D8C22×C67semidirect
1046. C4×D8C22×C67semidirect
1049. #435C22×C67semidirect
1050. #435C22×C67semidirect
1051. C8×D4C22×C67semidirect
1052. C8×D4C22×C67semidirect
1053. #433C22×C67semidirect
1054. #433C22×C67semidirect
1055. #431C22×C67semidirect
1056. #428C22×C67semidirect
1057. #427C22×C67semidirect
1058. #427C22×C67semidirect
1060. #418C22×C67semidirect
1061. #416C22×C67semidirect
1062. #416C22×C67semidirect
1063. #416C22×C67semidirect
1064. C2×#102C22×C67semidirect
1065. #405C22×C67semidirect
1066. #405C22×C67semidirect
1067. C2×#97C22×C67semidirect
1432. D8#41×C67semidirect

Maximal subgroups

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

subgroupindex
C67×#35212
C67×#35142
C67×#34012
C67×#33842
C67×#33702
C67×#33672
C67×#33492
C67×#33472
C67×#33402
C67×#33192
C67×#33112
C67×#33102
C67×#33032
C67×#32972
C67×#32802
C67×#32672
C67×#32642
C67×#31802
C67×#31782
C67×#31732
C67×#31242
C67×#31232
C67×#31182
C67×#31062
C67×#31022
C67×#29682
C67×#29482
C67×#29462
C67×#29432
#6152967