Finite Group Databasebeta

← C67×#61523 #30740774

Subgroups — C67×#61523 #30740774

Order 17152.

1882 conjugacy classes of subgroups.

The subgroup lattice has 1742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C67×#3522C211yesmaximal, characteristic, complemented
2C67×#3513C211yesmaximal, characteristic, complemented
3C67×#3403C211yesmaximal, characteristic, complemented
4C67×#3385C211yesmaximal, characteristic, complemented
5C67×#3375C211yesmaximal, characteristic, complemented
6C67×#3370C211yesmaximal, characteristic, complemented
7C67×#3346C211yesmaximal, characteristic, complemented
8C67×#3343C211yesmaximal, characteristic, complemented
9C67×#3334C211yesmaximal, characteristic, complemented
10C67×#3314C211yesmaximal, characteristic, complemented
11C67×#3309C211yesmaximal, characteristic, complemented
12C67×#3308C211yesmaximal, characteristic, complemented
13C67×#3306C211yesmaximal, characteristic, complemented
14C67×#3300C211yesmaximal, characteristic, complemented
15C67×#3294C211yesmaximal, characteristic, complemented
16C67×#3282C211yesmaximal, characteristic, complemented
17C67×#3268C211yesmaximal, characteristic, complemented
18C67×#3265C211yesmaximal, characteristic, complemented
19C67×#3180C211yesmaximal, characteristic, complemented
20C67×#3179C211yesmaximal, characteristic, complemented
21C67×#3175C211yesmaximal, characteristic, complemented
22C67×#3124C211yesmaximal, characteristic, complemented
23C67×#3124C211yesmaximal, characteristic, complemented
24C67×#3119C211yesmaximal, characteristic, complemented
25C67×#3118C211yesmaximal, characteristic, complemented
26C67×#3108C211yesmaximal, characteristic, complemented
27C67×#3100C211yesmaximal, characteristic, complemented
28C67×#2968C211yesmaximal, characteristic, complemented
29C67×#2951C211yesmaximal, characteristic, complemented
30C67×#2946C211yesmaximal, characteristic, complemented
31C2×#440×C67C211yesmaximal, characteristic, complemented
32C2×AGL(1,ℤ/8)×C67C2211yescharacteristic
33C2×#135×C67C2211yescharacteristic
34C22×SD16×C67C2211yescharacteristic
35#559×C67—21no—
36#559×C67C2211yescharacteristic
37#559×C67C2211yescharacteristic, complemented
38Q82×C67C2211yescharacteristic, complemented
39#554×C67—21no—
40#554×C67C2211yescharacteristic
41#554×C67C2211yescharacteristic, complemented
42#553×C67—21no—
43#553×C67C2211yescharacteristic
44#552×C67C2211yescharacteristic
45#551×C67—21no—
46#551×C67—21no—
47#550×C67C2211yescharacteristic, complemented
48#548×C67C2211yescharacteristic
49#548×C67C2211yescharacteristic, complemented
50#547×C67—21no—
51#547×C67—21no—
52#547×C67C2211yescharacteristic
53#547×C67C2211yescharacteristic
54#547×C67C2211yescharacteristic, complemented
55#546×C67—21no—
56#546×C67C2211yescharacteristic
57#546×C67C2211yescharacteristic
58D42×C67C2211yescharacteristic
59#542×C67—21no—
60#542×C67—21no—
61#542×C67C2211yescharacteristic
62#542×C67C2211yescharacteristic, complemented
63#542×C67C2211yescharacteristic, complemented
64#540×C67C2211yescharacteristic
65#539×C67—21no—
66#538×C67—21no—
67#532×C67—21no—
68#532×C67C2211yescharacteristic, complemented
69#529×C67—21no—
70#529×C67C2211yescharacteristic
71#529×C67C2211yescharacteristic
72#525×C67—21no—
73C2×#123×C67—21no—
74#520×C67C2211yescharacteristic
75#520×C67C2211yescharacteristic, complemented
76#520×C67C2211yescharacteristic, complemented
77#518×C67C2211yescharacteristic
78C2×C4×Q8×C67C2211yescharacteristic, complemented
79C2×C4×D4×C67C2211yescharacteristic
80#501×C67C2211yescharacteristic, complemented
81#501×C67C2211yescharacteristic, complemented
82#500×C67C2211yescharacteristic, complemented
83#496×C67C2211yescharacteristic
84#496×C67C2211yescharacteristic, complemented
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#486×C67C2211yescharacteristic
92#485×C67C2211yescharacteristic, complemented
93#484×C67C2211yescharacteristic, complemented
94#484×C67C2211yescharacteristic, complemented
95#483×C67C2211yescharacteristic, complemented
96#482×C67C2211yescharacteristic, complemented
97#481×C67C2211yescharacteristic, complemented
98#480×C67C2211yescharacteristic
99#480×C67C2211yescharacteristic
100#480×C67C2211yescharacteristic, complemented
101#480×C67C2211yescharacteristic, complemented
102#480×C67C2211yescharacteristic, complemented
103#480×C67C2211yescharacteristic, complemented
104#479×C67C2211yescharacteristic, complemented
105#479×C67C2211yescharacteristic, complemented
106#479×C67C2211yescharacteristic, complemented
107#478×C67C2211yescharacteristic, complemented
108#477×C67C2211yescharacteristic, complemented
109#477×C67C2211yescharacteristic, complemented
110#476×C67C2211yescharacteristic
111#474×C67C2211yescharacteristic
112#474×C67C2211yescharacteristic
113#474×C67C2211yescharacteristic, complemented
114#474×C67C2211yescharacteristic, complemented
115#474×C67C2211yescharacteristic, complemented
116#469×C67C2211yescharacteristic, complemented
117#468×C67C2211yescharacteristic
118#468×C67C2211yescharacteristic, complemented
119#468×C67C2211yescharacteristic, complemented
120#467×C67C2211yescharacteristic, complemented
121#466×C67C2211yescharacteristic
122#466×C67C2211yescharacteristic
123#466×C67C2211yescharacteristic
124#466×C67C2211yescharacteristic, complemented
125#465×C67C2211yescharacteristic, complemented
126#465×C67C2211yescharacteristic, complemented
127#465×C67C2211yescharacteristic, complemented
128#464×C67C2211yescharacteristic, complemented
129#464×C67C2211yescharacteristic, complemented
130#464×C67C2211yescharacteristic, complemented
131#464×C67C2211yescharacteristic, complemented
132#463×C67C2211yescharacteristic
133#463×C67C2211yescharacteristic
134#463×C67C2211yescharacteristic, complemented
135#463×C67C2211yescharacteristic, complemented
136#460×C67C2211yescharacteristic
137#459×C67C2211yescharacteristic
138#459×C67C2211yescharacteristic
139#459×C67C2211yescharacteristic, complemented
140#452×C67C2211yescharacteristic
141#452×C67C2211yescharacteristic, complemented
142#451×C67C2211yescharacteristic, complemented
143#450×C67C2211yescharacteristic
144#449×C67C2211yescharacteristic
145#449×C67C2211yescharacteristic
146#449×C67C2211yescharacteristic, complemented
147#449×C67C2211yescharacteristic, complemented
148#448×C67C2211yescharacteristic
149#447×C67C2211yescharacteristic
150#447×C67C2211yescharacteristic
151#447×C67C2211yescharacteristic
152#446×C67C2211yescharacteristic, complemented
153#446×C67C2211yescharacteristic, complemented
154#442×C67C2211yescharacteristic
155#442×C67C2211yescharacteristic, complemented
156#442×C67C2211yescharacteristic, complemented
157#440×C67C2211yescharacteristic
158#440×C67C2211yescharacteristic
159#440×C67C2211yescharacteristic
160#440×C67C2211yescharacteristic
161#440×C67C2211yescharacteristic
162#440×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×Q16×C67C2211yescharacteristic, complemented
172C4×Q16×C67C2211yescharacteristic, complemented
173C4×SD16×C67C2211yescharacteristic
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, 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×#107×C67C2211yescharacteristic, complemented
193C2×#107×C67C2211yescharacteristic, complemented
194#417×C67C2211yescharacteristic
195#417×C67C2211yescharacteristic, complemented
196#416×C67C2211yescharacteristic, complemented
197C2×#103×C67C2211yescharacteristic, complemented
198C2×#102×C67C2211yescharacteristic
199C2×#102×C67C2211yescharacteristic
200#405×C67C2211yescharacteristic, complemented
201#405×C67C2211yescharacteristic, complemented
202C2×#97×C67C2211yescharacteristic, complemented
203C2×#41×C67—21no—
204C2×#41×C67—21no—
205C2×#41×C67—21no—
206C2×#41×C67—21no—
207C2×#41×C67C2311yescharacteristic
208C2×#41×C67C2311yescharacteristic
209C2×#41×C67C2311yescharacteristic
210C22×Q8×C67C2311yescharacteristic
211C22×D4×C67—21no—
212C22×D4×C67C2311yescharacteristic
213C22×D4×C67C2311yescharacteristic
214C23×C4×C67—21no—
215AGL(1,ℤ/8)×C67—24no—
216#135×C67—24no—
217C2×Q16×C67C2311yescharacteristic
218C2×Q16×C67C2311yescharacteristic
219C2×SD16×C67—24no—
220C2×SD16×C67C2311yescharacteristic
221C2×SD16×C67C2311yescharacteristic
222C2×SD16×C67C2311yescharacteristic
223C2×SD16×C67C2311yescharacteristic
224C2×SD16×C67C2311yescharacteristic
225C2×SD16×C67C2311yescharacteristic
226C2×SD16×C67C2311yescharacteristic
227C2×SD16×C67C2311yescharacteristic
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×C67—21no—
241C4⋊Q8×C67—21no—
242C4⋊Q8×C67—21no—
243C4⋊Q8×C67C2311yescharacteristic
244C4⋊Q8×C67C2311yescharacteristic
245C4⋊Q8×C67C2311yescharacteristic
246C4⋊Q8×C67C2311yescharacteristic
247#127×C67—21no—
248#127×C67C2311yescharacteristic
249#127×C67C2311yescharacteristic
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×C67D411yescharacteristic
257#126×C67D411yescharacteristic
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×C67—21no—
268#124×C67—21no—
269#124×C67—21no—
270#124×C67—21no—
271#124×C67D411yescharacteristic
272#124×C67C2311yescharacteristic
273#124×C67C2311yescharacteristic
274#124×C67C2311yescharacteristic
275#124×C67C2311yescharacteristic
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×C67—21no—
293#123×C67—21no—
294#123×C67—21no—
295#123×C67—21no—
296#123×C67D411yescharacteristic
297#123×C67D411yescharacteristic
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
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×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#121×C67C2311yescharacteristic
335#121×C67C2311yescharacteristic
336#120×C67—21no—
337#120×C67—21no—
338#120×C67—21no—
339#120×C67—21no—
340C4×Q8×C67—21no—
341C4×Q8×C67—21no—
342C4×Q8×C67—21no—
343C4×Q8×C67C2311yescharacteristic
344C4×Q8×C67C2311yescharacteristic
345C4×Q8×C67C2311yescharacteristic
346C4×Q8×C67C2311yescharacteristic
347C4×Q8×C67C2311yescharacteristic
348C4×Q8×C67C2311yescharacteristic
349C4×Q8×C67C2311yescharacteristic
350C4×Q8×C67C2311yescharacteristic
351C4×Q8×C67C2311yescharacteristic
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×C67—21no—
366C4×D4×C67—21no—
367C4×D4×C67—21no—
368C4×D4×C67—21no—
369C4×D4×C67—21no—
370C4×D4×C67—21no—
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
382C4×D4×C67C2311yescharacteristic
383C4×D4×C67C2311yescharacteristic
384C4×D4×C67C2311yescharacteristic
385C4×D4×C67C2311yescharacteristic
386#117×C67—21no—
387#117×C67—21no—
388#117×C67—21no—
389#117×C67—21no—
390#117×C67—21no—
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×C67—21no—
398C2×C4⋊C4×C67—21no—
399C2×C4⋊C4×C67C2311yescharacteristic
400C2×C4⋊C4×C67C2311yescharacteristic
401C2×C4⋊C4×C67C2311yescharacteristic
402C2×C4⋊C4×C67C2311yescharacteristic
403C2×C4⋊C4×C67C2311yescharacteristic
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×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#107×C67C2311yescharacteristic
420#107×C67C2311yescharacteristic
421#107×C67C2311yescharacteristic
422#107×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—
483#41×C67—22no—
484#41×C67—22no—
485#41×C67—22no—
486#41×C67—41no—
487#41×C67—41no—
488#41×C67—41no—
489#41×C67—82no—
490#41×C67—82no—
491#41×C67—82no—
492#41×C67—82no—
493C2×Q8×C67—21no—
494C2×Q8×C67—21no—
495C2×Q8×C67—21no—
496C2×Q8×C67—21no—
497C2×Q8×C67—21no—
498C2×Q8×C67—22no—
499C2×Q8×C67—41no—
500C2×Q8×C67C2×D411yescharacteristic
501C2×Q8×C67C2411yescharacteristic
502C2×Q8×C67C2411yescharacteristic
503C2×Q8×C67C2411yescharacteristic
504C2×D4×C67—22no—
505C2×D4×C67—22no—
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—21no—
519C2×D4×C67—21no—
520C2×D4×C67—21no—
521C2×D4×C67—21no—
522C2×D4×C67—21no—
523C2×D4×C67—41no—
524C2×D4×C67—41no—
525C2×D4×C67—82no—
526C2×D4×C67C2×D411yescharacteristic
527C2×D4×C67C2×D411yescharacteristic
528C2×D4×C67C2×D411yescharacteristic
529C2×D4×C67C2411yescharacteristic
530C2×D4×C67C2411yescharacteristic
531C2×D4×C67C2411yescharacteristic
532C2×D4×C67C2411yescharacteristic
533C2×D4×C67C2411yescharacteristic
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—21no—
553C22×C4×C67—21no—
554C22×C4×C67—21no—
555C22×C4×C67—82no—
556C22×C4×C67C2×D411yescharacteristic
557C22×C4×C67C2×D411yescharacteristic
558C22×C4×C67C2411yescharacteristic
559C22×C4×C67C2411yescharacteristic
560C22×C4×C67C2411yescharacteristic
561Q16×C67—22no—
562Q16×C67—41no—
563SD16×C67—22no—
564SD16×C67—22no—
565SD16×C67—22no—
566SD16×C67—22no—
567SD16×C67—22no—
568SD16×C67—41no—
569SD16×C67—41no—
570SD16×C67#4114yescomplemented
571D8×C67—22no—
572D8×C67—22no—
573D8×C67—22no—
574D8×C67—41no—
575D8×C67—41no—
576D8×C67—41no—
577M16×C67—22no—
578M16×C67—41no—
579C2×C8×C67—22no—
580C2×C8×C67—22no—
581C2×C8×C67—41no—
582C2×C8×C67—41no—
583C2×C8×C67C2411yescharacteristic
584C2×C8×C67C2411yescharacteristic
585C2×C8×C67C2411yescharacteristic
586C2×C8×C67C2411yescharacteristic
587C2×C8×C67C2411yescharacteristic
588C2×C8×C67C2411yescharacteristic
589C2×C8×C67C2411yescharacteristic
590C2×C8×C67C2411yescharacteristic
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×C67C2×D411yescharacteristic
668C22⋊C4×C67C2×D411yescharacteristic
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
677C42×C67—21no—
678C42×C67—21no—
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—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—41no—
712Q8×C67—42no—
713Q8×C67—81no—
714Q8×C67—81no—
715Q8×C67—81no—
716Q8×C67—81no—
717Q8×C67C2×#4112yes—
718D4×C67—22no—
719D4×C67—22no—
720D4×C67—21no—
721D4×C67—21no—
722D4×C67—21no—
723D4×C67—21no—
724D4×C67—21no—
725D4×C67—21no—
726D4×C67—21no—
727D4×C67—21no—
728D4×C67—21no—
729D4×C67—41no—
730D4×C67—42no—
731D4×C67—42no—
732D4×C67—42no—
733D4×C67—42no—
734D4×C67—42no—
735D4×C67—42no—
736D4×C67—42no—
737D4×C67—42no—
738D4×C67—42no—
739D4×C67—81no—
740D4×C67—81no—
741D4×C67—81no—
742D4×C67—81no—
743D4×C67—81no—
744D4×C67—81no—
745D4×C67—81no—
746D4×C67—81no—
747D4×C67C2×#4112yes—
748C2×C4×C67—22no—
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—21no—
766C2×C4×C67—41no—
767C2×C4×C67—42no—
768C2×C4×C67—42no—
769C2×C4×C67—42no—
770C2×C4×C67—42no—
771C2×C4×C67—42no—
772C2×C4×C67—42no—
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—21no—
816C22×C67—21no—
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—41no—
826C22×C67—41no—
827C22×C67—41no—
828C22×C67—41no—
829C22×C67—41no—
830C22×C67—41no—
831C22×C67—84no—
832C22×C67—162no—
833C22×C67#57612yes—
834C22×C67C23×D411yescharacteristic
835C4×C67—21no—
836C4×C67—21no—
837C4×C67—21no—
838C4×C67—21no—
839C4×C67—21no—
840C4×C67—21no—
841C4×C67—21no—
842C4×C67—22no—
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×C67C22×#4111yescharacteristic
858C4×C67#58511yescharacteristic
859#61523C6711yesmaximal, characteristic, direct product factor, Sylow
860C2×C67—22no—
861C2×C67—41no—
862C2×C67—41no—
863C2×C67—42no—
864C2×C67—81no—
865C2×C67—81no—
866C2×C67—81no—
867C2×C67—81no—
868C2×C67D4×#4111yescharacteristic
869C2×C67C2×#57611yescharacteristic
870C2×C67#358611yescharacteristic
871#3522C2×C6711yescharacteristic, complemented
872#3513C2×C6711yescharacteristic, complemented
873#3403C2×C6711yescharacteristic, complemented
874#3385C2×C6711yescharacteristic, complemented
875#3375C2×C6711yescharacteristic, complemented
876#3370C2×C6711yescharacteristic, complemented
877#3346C2×C6711yescharacteristic, complemented
878#3343C2×C6711yescharacteristic, complemented
879#3334C2×C6711yescharacteristic, complemented
880#3314C2×C6711yescharacteristic, complemented
881#3309C2×C6711yescharacteristic, complemented
882#3308C2×C6711yescharacteristic, complemented
883#3306C2×C6711yescharacteristic, complemented
884#3300C2×C6711yescharacteristic, complemented
885#3294C2×C6711yescharacteristic, complemented
886#3282C2×C6711yescharacteristic, complemented
887#3268C2×C6711yescharacteristic, complemented
888#3265C2×C6711yescharacteristic, complemented
889#3180C2×C6711yescharacteristic, complemented
890#3179C2×C6711yescharacteristic, complemented
891#3175C2×C6711yescharacteristic, complemented
892#3124C2×C6711yescharacteristic, complemented
893#3124C2×C6711yescharacteristic, complemented
894#3119C2×C6711yescharacteristic, complemented
895#3118C2×C6711yescharacteristic, complemented
896#3108C2×C6711yescharacteristic, complemented
897#3100C2×C6711yescharacteristic, complemented
898#2968C2×C6711yescharacteristic, complemented
899#2951C2×C6711yescharacteristic, complemented
900#2946C2×C6711yescharacteristic, complemented
901C2×#440C2×C6711yescharacteristic, complemented
902C67#6152311yescharacteristic, direct product factor, Sylow
903C2×AGL(1,ℤ/8)C22×C6711yescharacteristic
904C2×#135C22×C6711yescharacteristic
905C22×SD16C22×C6711yescharacteristic
906#559—21no—
907#559C22×C6711yescharacteristic
908#559C22×C6711yescharacteristic, complemented
909Q82C22×C6711yescharacteristic, complemented
910#554—21no—
911#554C22×C6711yescharacteristic
912#554C22×C6711yescharacteristic, complemented
913#553—21no—
914#553C22×C6711yescharacteristic
915#552C22×C6711yescharacteristic
916#551—21no—
917#551—21no—
918#550C22×C6711yescharacteristic, complemented
919#548C22×C6711yescharacteristic
920#548C22×C6711yescharacteristic, complemented
921#547—21no—
922#547—21no—
923#547C22×C6711yescharacteristic
924#547C22×C6711yescharacteristic
925#547C22×C6711yescharacteristic, complemented
926#546—21no—
927#546C22×C6711yescharacteristic
928#546C22×C6711yescharacteristic
929D42C22×C6711yescharacteristic
930#542—21no—
931#542—21no—
932#542C22×C6711yescharacteristic
933#542C22×C6711yescharacteristic, complemented
934#542C22×C6711yescharacteristic, complemented
935#540C22×C6711yescharacteristic
936#539—21no—
937#538—21no—
938#532—21no—
939#532C22×C6711yescharacteristic, complemented
940#529—21no—
941#529C22×C6711yescharacteristic
942#529C22×C6711yescharacteristic
943#525—21no—
944C2×#123—21no—
945#520C22×C6711yescharacteristic
946#520C22×C6711yescharacteristic, complemented
947#520C22×C6711yescharacteristic, complemented
948#518C22×C6711yescharacteristic
949C2×C4×Q8C22×C6711yescharacteristic, complemented
950C2×C4×D4C22×C6711yescharacteristic
951#501C22×C6711yescharacteristic, complemented
952#501C22×C6711yescharacteristic, complemented
953#500C22×C6711yescharacteristic, complemented
954#496C22×C6711yescharacteristic
955#496C22×C6711yescharacteristic, complemented
956#495C22×C6711yescharacteristic, complemented
957#490C22×C6711yescharacteristic, complemented
958#489C22×C6711yescharacteristic, complemented
959#489C22×C6711yescharacteristic, complemented
960#489C22×C6711yescharacteristic, complemented
961#488C22×C6711yescharacteristic, complemented
962#486C22×C6711yescharacteristic
963#485C22×C6711yescharacteristic, complemented
964#484C22×C6711yescharacteristic, complemented
965#484C22×C6711yescharacteristic, complemented
966#483C22×C6711yescharacteristic, complemented
967#482C22×C6711yescharacteristic, complemented
968#481C22×C6711yescharacteristic, complemented
969#480C22×C6711yescharacteristic
970#480C22×C6711yescharacteristic
971#480C22×C6711yescharacteristic, complemented
972#480C22×C6711yescharacteristic, complemented
973#480C22×C6711yescharacteristic, complemented
974#480C22×C6711yescharacteristic, complemented
975#479C22×C6711yescharacteristic, complemented
976#479C22×C6711yescharacteristic, complemented
977#479C22×C6711yescharacteristic, complemented
978#478C22×C6711yescharacteristic, complemented
979#477C22×C6711yescharacteristic, complemented
980#477C22×C6711yescharacteristic, complemented
981#476C22×C6711yescharacteristic
982#474C22×C6711yescharacteristic
983#474C22×C6711yescharacteristic
984#474C22×C6711yescharacteristic, complemented
985#474C22×C6711yescharacteristic, complemented
986#474C22×C6711yescharacteristic, complemented
987#469C22×C6711yescharacteristic, complemented
988#468C22×C6711yescharacteristic
989#468C22×C6711yescharacteristic, complemented
990#468C22×C6711yescharacteristic, complemented
991#467C22×C6711yescharacteristic, complemented
992#466C22×C6711yescharacteristic
993#466C22×C6711yescharacteristic
994#466C22×C6711yescharacteristic
995#466C22×C6711yescharacteristic, complemented
996#465C22×C6711yescharacteristic, complemented
997#465C22×C6711yescharacteristic, complemented
998#465C22×C6711yescharacteristic, complemented
999#464C22×C6711yescharacteristic, complemented
1000#464C22×C6711yescharacteristic, complemented
1001#464C22×C6711yescharacteristic, complemented
1002#464C22×C6711yescharacteristic, complemented
1003#463C22×C6711yescharacteristic
1004#463C22×C6711yescharacteristic
1005#463C22×C6711yescharacteristic, complemented
1006#463C22×C6711yescharacteristic, complemented
1007#460C22×C6711yescharacteristic
1008#459C22×C6711yescharacteristic
1009#459C22×C6711yescharacteristic
1010#459C22×C6711yescharacteristic, complemented
1011#452C22×C6711yescharacteristic
1012#452C22×C6711yescharacteristic, complemented
1013#451C22×C6711yescharacteristic, complemented
1014#450C22×C6711yescharacteristic
1015#449C22×C6711yescharacteristic
1016#449C22×C6711yescharacteristic
1017#449C22×C6711yescharacteristic, complemented
1018#449C22×C6711yescharacteristic, complemented
1019#448C22×C6711yescharacteristic
1020#447C22×C6711yescharacteristic
1021#447C22×C6711yescharacteristic
1022#447C22×C6711yescharacteristic
1023#446C22×C6711yescharacteristic, complemented
1024#446C22×C6711yescharacteristic, complemented
1025#442C22×C6711yescharacteristic
1026#442C22×C6711yescharacteristic, complemented
1027#442C22×C6711yescharacteristic, complemented
1028#440C22×C6711yescharacteristic
1029#440C22×C6711yescharacteristic
1030#440C22×C6711yescharacteristic
1031#440C22×C6711yescharacteristic
1032#440C22×C6711yescharacteristic
1033#440C22×C6711yescharacteristic, complemented
1034#440C22×C6711yescharacteristic, complemented
1035#440C22×C6711yescharacteristic, complemented
1036#440C22×C6711yescharacteristic, complemented
1037#440C22×C6711yescharacteristic, complemented
1038#440C22×C6711yescharacteristic, complemented
1039#440C22×C6711yescharacteristic, complemented
1040#440C22×C6711yescharacteristic, complemented
1041C4×Q16C22×C6711yescharacteristic, complemented
1042C4×Q16C22×C6711yescharacteristic, complemented
1043C4×Q16C22×C6711yescharacteristic, complemented
1044C4×SD16C22×C6711yescharacteristic
1045C4×SD16C22×C6711yescharacteristic, complemented
1046C4×SD16C22×C6711yescharacteristic, complemented
1047C4×D8C22×C6711yescharacteristic
1048C4×D8C22×C6711yescharacteristic
1049C4×D8C22×C6711yescharacteristic
1050C4×D8C22×C6711yescharacteristic, complemented
1051C4×D8C22×C6711yescharacteristic, complemented
1052C4×D8C22×C6711yescharacteristic, complemented
1053#435C22×C6711yescharacteristic
1054#435C22×C6711yescharacteristic, complemented
1055#435C22×C6711yescharacteristic, complemented
1056#435C22×C6711yescharacteristic, complemented
1057C8×D4C22×C6711yescharacteristic
1058C8×D4C22×C6711yescharacteristic, complemented
1059#433C22×C6711yescharacteristic, complemented
1060#433C22×C6711yescharacteristic, complemented
1061#431C22×C6711yescharacteristic, complemented
1062#428C22×C6711yescharacteristic, complemented
1063C2×#107C22×C6711yescharacteristic, complemented
1064C2×#107C22×C6711yescharacteristic, complemented
1065#417C22×C6711yescharacteristic
1066#417C22×C6711yescharacteristic, complemented
1067#416C22×C6711yescharacteristic, complemented
1068C2×#103C22×C6711yescharacteristic, complemented
1069C2×#102C22×C6711yescharacteristic
1070C2×#102C22×C6711yescharacteristic
1071#405C22×C6711yescharacteristic, complemented
1072#405C22×C6711yescharacteristic, complemented
1073C2×#97C22×C6711yescharacteristic, complemented
1074C2×#41—21no—
1075C2×#41—21no—
1076C2×#41—21no—
1077C2×#41—21no—
1078C2×#41C23×C6711yescharacteristic
1079C2×#41C23×C6711yescharacteristic
1080C2×#41C23×C6711yescharacteristic
1081C22×Q8C23×C6711yescharacteristic
1082C22×D4—21no—
1083C22×D4C23×C6711yescharacteristic
1084C22×D4C23×C6711yescharacteristic
1085C23×C4—21no—
1086AGL(1,ℤ/8)—24no—
1087#135—24no—
1088C2×Q16C23×C6711yescharacteristic
1089C2×Q16C23×C6711yescharacteristic
1090C2×SD16—24no—
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×D8C23×C6711yescharacteristic
1100C2×D8C23×C6711yescharacteristic
1101C2×D8C23×C6711yescharacteristic
1102C2×D8C23×C6711yescharacteristic
1103C2×D8C23×C6711yescharacteristic
1104C2×D8C23×C6711yescharacteristic
1105C2×M16C23×C6711yescharacteristic
1106C2×M16C23×C6711yescharacteristic
1107C22×C8C23×C6711yescharacteristic
1108C22×C8C23×C6711yescharacteristic
1109C22×C8C23×C6711yescharacteristic
1110C22×C8C23×C6711yescharacteristic
1111C4⋊Q8—21no—
1112C4⋊Q8—21no—
1113C4⋊Q8—21no—
1114C4⋊Q8C23×C6711yescharacteristic
1115C4⋊Q8C23×C6711yescharacteristic
1116C4⋊Q8C23×C6711yescharacteristic
1117C4⋊Q8C23×C6711yescharacteristic
1118#127—21no—
1119#127C23×C6711yescharacteristic
1120#127C23×C6711yescharacteristic
1121#126—21no—
1122#126—21no—
1123#126—21no—
1124#126—21no—
1125#126—21no—
1126#126—21no—
1127#126D4×C6711yescharacteristic
1128#126D4×C6711yescharacteristic
1129#125—21no—
1130#125—21no—
1131#125D4×C6711yescharacteristic
1132#125C23×C6711yescharacteristic
1133#125C23×C6711yescharacteristic
1134#124—21no—
1135#124—21no—
1136#124—21no—
1137#124—21no—
1138#124—21no—
1139#124—21no—
1140#124—21no—
1141#124—21no—
1142#124D4×C6711yescharacteristic
1143#124C23×C6711yescharacteristic
1144#124C23×C6711yescharacteristic
1145#124C23×C6711yescharacteristic
1146#124C23×C6711yescharacteristic
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#123—21no—
1165#123—21no—
1166#123—21no—
1167#123D4×C6711yescharacteristic
1168#123D4×C6711yescharacteristic
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⋊Q8D4×C6711yescharacteristic
1183C22⋊Q8C23×C6711yescharacteristic
1184C22⋊Q8C23×C6711yescharacteristic
1185C22⋊Q8C23×C6711yescharacteristic
1186C22⋊Q8C23×C6711yescharacteristic
1187#121—21no—
1188#121—21no—
1189#121—21no—
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#121D4×C6711yescharacteristic
1199#121C23×C6711yescharacteristic
1200#121C23×C6711yescharacteristic
1201#121C23×C6711yescharacteristic
1202#121C23×C6711yescharacteristic
1203#121C23×C6711yescharacteristic
1204#121C23×C6711yescharacteristic
1205#121C23×C6711yescharacteristic
1206#121C23×C6711yescharacteristic
1207#120—21no—
1208#120—21no—
1209#120—21no—
1210#120—21no—
1211C4×Q8—21no—
1212C4×Q8—21no—
1213C4×Q8—21no—
1214C4×Q8C23×C6711yescharacteristic
1215C4×Q8C23×C6711yescharacteristic
1216C4×Q8C23×C6711yescharacteristic
1217C4×Q8C23×C6711yescharacteristic
1218C4×Q8C23×C6711yescharacteristic
1219C4×Q8C23×C6711yescharacteristic
1220C4×Q8C23×C6711yescharacteristic
1221C4×Q8C23×C6711yescharacteristic
1222C4×Q8C23×C6711yescharacteristic
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×D4—21no—
1238C4×D4—21no—
1239C4×D4—21no—
1240C4×D4—21no—
1241C4×D4—21no—
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
1254C4×D4C23×C6711yescharacteristic
1255C4×D4C23×C6711yescharacteristic
1256C4×D4C23×C6711yescharacteristic
1257#117—21no—
1258#117—21no—
1259#117—21no—
1260#117—21no—
1261#117—21no—
1262#117C23×C6711yescharacteristic
1263#117C23×C6711yescharacteristic
1264#117C23×C6711yescharacteristic
1265C2×C4⋊C4—21no—
1266C2×C4⋊C4—21no—
1267C2×C4⋊C4—21no—
1268C2×C4⋊C4—21no—
1269C2×C4⋊C4—21no—
1270C2×C4⋊C4C23×C6711yescharacteristic
1271C2×C4⋊C4C23×C6711yescharacteristic
1272C2×C4⋊C4C23×C6711yescharacteristic
1273C2×C4⋊C4C23×C6711yescharacteristic
1274C2×C4⋊C4C23×C6711yescharacteristic
1275C2×C22⋊C4—21no—
1276C2×C22⋊C4—21no—
1277C2×C22⋊C4—21no—
1278C2×C22⋊C4—21no—
1279C2×C22⋊C4—21no—
1280C2×C42—21no—
1281C2×C42C23×C6711yescharacteristic
1282#107C23×C6711yescharacteristic
1283#107C23×C6711yescharacteristic
1284#107C23×C6711yescharacteristic
1285#107C23×C6711yescharacteristic
1286#107C23×C6711yescharacteristic
1287#107C23×C6711yescharacteristic
1288#107C23×C6711yescharacteristic
1289#107C23×C6711yescharacteristic
1290#107C23×C6711yescharacteristic
1291#107C23×C6711yescharacteristic
1292#107C23×C6711yescharacteristic
1293#107C23×C6711yescharacteristic
1294#106C23×C6711yescharacteristic
1295#106C23×C6711yescharacteristic
1296#106C23×C6711yescharacteristic
1297#106C23×C6711yescharacteristic
1298C4⋊C8C23×C6711yescharacteristic
1299C4⋊C8C23×C6711yescharacteristic
1300C4⋊C8C23×C6711yescharacteristic
1301C4⋊C8C23×C6711yescharacteristic
1302C4⋊C8C23×C6711yescharacteristic
1303C4⋊C8C23×C6711yescharacteristic
1304#103C23×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#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
1330#102C23×C6711yescharacteristic
1331#102C23×C6711yescharacteristic
1332#102C23×C6711yescharacteristic
1333#102C23×C6711yescharacteristic
1334#102C23×C6711yescharacteristic
1335#102C23×C6711yescharacteristic
1336C22⋊C8C23×C6711yescharacteristic
1337C22⋊C8C23×C6711yescharacteristic
1338C22⋊C8C23×C6711yescharacteristic
1339C22⋊C8C23×C6711yescharacteristic
1340C22⋊C8C23×C6711yescharacteristic
1341C22⋊C8C23×C6711yescharacteristic
1342#97C23×C6711yescharacteristic
1343#97C23×C6711yescharacteristic
1344#97C23×C6711yescharacteristic
1345#97C23×C6711yescharacteristic
1346#97C23×C6711yescharacteristic
1347#97C23×C6711yescharacteristic
1348C4×C8C23×C6711yescharacteristic
1349C4×C8C23×C6711yescharacteristic
1350C4×C8C23×C6711yescharacteristic
1351C4×C8C23×C6711yescharacteristic
1352C24—21no—
1353C24—21no—
1354#41—22no—
1355#41—22no—
1356#41—22no—
1357#41—41no—
1358#41—41no—
1359#41—41no—
1360#41—82no—
1361#41—82no—
1362#41—82no—
1363#41—82no—
1364C2×Q8—21no—
1365C2×Q8—21no—
1366C2×Q8—21no—
1367C2×Q8—21no—
1368C2×Q8—21no—
1369C2×Q8—22no—
1370C2×Q8—41no—
1371C2×Q8C2×D4×C6711yescharacteristic
1372C2×Q8C24×C6711yescharacteristic
1373C2×Q8C24×C6711yescharacteristic
1374C2×Q8C24×C6711yescharacteristic
1375C2×D4—22no—
1376C2×D4—22no—
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—21no—
1391C2×D4—21no—
1392C2×D4—21no—
1393C2×D4—21no—
1394C2×D4—41no—
1395C2×D4—41no—
1396C2×D4—82no—
1397C2×D4C2×D4×C6711yescharacteristic
1398C2×D4C2×D4×C6711yescharacteristic
1399C2×D4C2×D4×C6711yescharacteristic
1400C2×D4C24×C6711yescharacteristic
1401C2×D4C24×C6711yescharacteristic
1402C2×D4C24×C6711yescharacteristic
1403C2×D4C24×C6711yescharacteristic
1404C2×D4C24×C6711yescharacteristic
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—21no—
1425C22×C4—21no—
1426C22×C4—82no—
1427C22×C4C2×D4×C6711yescharacteristic
1428C22×C4C2×D4×C6711yescharacteristic
1429C22×C4C24×C6711yescharacteristic
1430C22×C4C24×C6711yescharacteristic
1431C22×C4C24×C6711yescharacteristic
1432Q16—22no—
1433Q16—41no—
1434SD16—22no—
1435SD16—22no—
1436SD16—22no—
1437SD16—22no—
1438SD16—22no—
1439SD16—41no—
1440SD16—41no—
1441SD16#41×C6714yescomplemented
1442D8—22no—
1443D8—22no—
1444D8—22no—
1445D8—41no—
1446D8—41no—
1447D8—41no—
1448M16—22no—
1449M16—41no—
1450C2×C8—22no—
1451C2×C8—22no—
1452C2×C8—41no—
1453C2×C8—41no—
1454C2×C8C24×C6711yescharacteristic
1455C2×C8C24×C6711yescharacteristic
1456C2×C8C24×C6711yescharacteristic
1457C2×C8C24×C6711yescharacteristic
1458C2×C8C24×C6711yescharacteristic
1459C2×C8C24×C6711yescharacteristic
1460C2×C8C24×C6711yescharacteristic
1461C2×C8C24×C6711yescharacteristic
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⋊C4C2×D4×C6711yescharacteristic
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⋊C4C24×C6711yescharacteristic
1498C4⋊C4C24×C6711yescharacteristic
1499C4⋊C4C24×C6711yescharacteristic
1500C4⋊C4C24×C6711yescharacteristic
1501C4⋊C4C24×C6711yescharacteristic
1502C4⋊C4C24×C6711yescharacteristic
1503C4⋊C4C24×C6711yescharacteristic
1504C4⋊C4C24×C6711yescharacteristic
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⋊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⋊C4C2×D4×C6711yescharacteristic
1539C22⋊C4C2×D4×C6711yescharacteristic
1540C22⋊C4C2×D4×C6711yescharacteristic
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
1548C42—21no—
1549C42—21no—
1550C42—21no—
1551C42—21no—
1552C42—21no—
1553C42—21no—
1554C42—21no—
1555C42—21no—
1556C42—21no—
1557C42C2×D4×C6711yescharacteristic
1558C42C2×D4×C6711yescharacteristic
1559C42C24×C6711yescharacteristic
1560C42C24×C6711yescharacteristic
1561C42C24×C6711yescharacteristic
1562C42C24×C6711yescharacteristic
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—42no—
1569C23—42no—
1570C23—42no—
1571C23—81no—
1572C23—81no—
1573C23—81no—
1574C23C22×D4×C6711yescharacteristic
1575C23C22×D4×C6711yescharacteristic
1576C23C22×D4×C6711yescharacteristic
1577Q8—21no—
1578Q8—21no—
1579Q8—21no—
1580Q8—21no—
1581Q8—21no—
1582Q8—41no—
1583Q8—42no—
1584Q8—81no—
1585Q8—81no—
1586Q8—81no—
1587Q8—81no—
1588Q8C2×#41×C6712yes—
1589D4—22no—
1590D4—22no—
1591D4—21no—
1592D4—21no—
1593D4—21no—
1594D4—21no—
1595D4—21no—
1596D4—21no—
1597D4—21no—
1598D4—21no—
1599D4—21no—
1600D4—41no—
1601D4—42no—
1602D4—42no—
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—
1617D4—81no—
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×C4C22×D4×C6711yescharacteristic
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×C4C25×C6711yescharacteristic
1671C8—21no—
1672C8—21no—
1673C8—21no—
1674C8—21no—
1675C8—21no—
1676C8—21no—
1677C8—21no—
1678C8C2×#41×C6712yes—
1679C22—21no—
1680C22—21no—
1681C22—21no—
1682C22—21no—
1683C22—21no—
1684C22—21no—
1685C22—21no—
1686C22—21no—
1687C22—22no—
1688C22—41no—
1689C22—41no—
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—84no—
1703C22—162no—
1704C22#576×C6712yes—
1705C22C23×D4×C6711yescharacteristic
1706C4—21no—
1707C4—21no—
1708C4—21no—
1709C4—21no—
1710C4—21no—
1711C4—21no—
1712C4—21no—
1713C4—21no—
1714C4—21no—
1715C4—21no—
1716C4—21no—
1717C4—22no—
1718C4—41no—
1719C4—41no—
1720C4—41no—
1721C4—41no—
1722C4—41no—
1723C4—41no—
1724C4—41no—
1725C4—41no—
1726C4—41no—
1727C4—41no—
1728C4C22×#41×C6711yescharacteristic
1729C4#585×C6711yescharacteristic
1730C2—22no—
1731C2—41no—
1732C2—41no—
1733C2—42no—
1734C2—81no—
1735C2—81no—
1736C2—81no—
1737C2—81no—
1738C2D4×#41×C6711yescharacteristic
1739C2C2×#576×C6711yescharacteristic
1740C2C67×#358611yescharacteristic
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×#3522C2semidirect
2. C67×#3513C2semidirect
3. C67×#3403C2semidirect
4. C67×#3385C2semidirect
5. C67×#3375C2semidirect
6. C67×#3370C2semidirect
7. C67×#3346C2semidirect
8. C67×#3343C2semidirect
9. C67×#3334C2semidirect
10. C67×#3314C2semidirect
11. C67×#3309C2semidirect
12. C67×#3308C2semidirect
13. C67×#3306C2semidirect
14. C67×#3300C2semidirect
15. C67×#3294C2semidirect
16. C67×#3282C2semidirect
17. C67×#3268C2semidirect
18. C67×#3265C2semidirect
19. C67×#3180C2semidirect
20. C67×#3179C2semidirect
21. C67×#3175C2semidirect
22. C67×#3124C2semidirect
23. C67×#3124C2semidirect
24. C67×#3119C2semidirect
25. C67×#3118C2semidirect
26. C67×#3108C2semidirect
27. C67×#3100C2semidirect
28. C67×#2968C2semidirect
29. C67×#2951C2semidirect
30. C67×#2946C2semidirect
31. C2×#440×C67C2semidirect
37. #559×C67C22semidirect
38. Q82×C67C22semidirect
41. #554×C67C22semidirect
47. #550×C67C22semidirect
49. #548×C67C22semidirect
54. #547×C67C22semidirect
62. #542×C67C22semidirect
63. #542×C67C22semidirect
68. #532×C67C22semidirect
75. #520×C67C22semidirect
76. #520×C67C22semidirect
78. C2×C4×Q8×C67C22semidirect
80. #501×C67C22semidirect
81. #501×C67C22semidirect
82. #500×C67C22semidirect
84. #496×C67C22semidirect
85. #495×C67C22semidirect
86. #490×C67C22semidirect
87. #489×C67C22semidirect
88. #489×C67C22semidirect
89. #489×C67C22semidirect
90. #488×C67C22semidirect
92. #485×C67C22semidirect
93. #484×C67C22semidirect
94. #484×C67C22semidirect
95. #483×C67C22semidirect
96. #482×C67C22semidirect
97. #481×C67C22semidirect
100. #480×C67C22semidirect
101. #480×C67C22semidirect
102. #480×C67C22semidirect
103. #480×C67C22semidirect
104. #479×C67C22semidirect
105. #479×C67C22semidirect
106. #479×C67C22semidirect
107. #478×C67C22semidirect
108. #477×C67C22semidirect
109. #477×C67C22semidirect
113. #474×C67C22semidirect
114. #474×C67C22semidirect
115. #474×C67C22semidirect
116. #469×C67C22semidirect
118. #468×C67C22semidirect
119. #468×C67C22semidirect
120. #467×C67C22semidirect
124. #466×C67C22semidirect
125. #465×C67C22semidirect
126. #465×C67C22semidirect
127. #465×C67C22semidirect
128. #464×C67C22semidirect
129. #464×C67C22semidirect
130. #464×C67C22semidirect
131. #464×C67C22semidirect
134. #463×C67C22semidirect
135. #463×C67C22semidirect
139. #459×C67C22semidirect
141. #452×C67C22semidirect
142. #451×C67C22semidirect
146. #449×C67C22semidirect
147. #449×C67C22semidirect
152. #446×C67C22semidirect
153. #446×C67C22semidirect
155. #442×C67C22semidirect
156. #442×C67C22semidirect
162. #440×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×Q16×C67C22semidirect
172. C4×Q16×C67C22semidirect
174. C4×SD16×C67C22semidirect
175. C4×SD16×C67C22semidirect
179. C4×D8×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×#107×C67C22semidirect
193. C2×#107×C67C22semidirect
195. #417×C67C22semidirect
196. #416×C67C22semidirect
197. C2×#103×C67C22semidirect
200. #405×C67C22semidirect
201. #405×C67C22semidirect
202. C2×#97×C67C22semidirect
570. SD16×C67#41semidirect
859. #61523C67direct (N × H)
871. #3522C2×C67semidirect
872. #3513C2×C67semidirect
873. #3403C2×C67semidirect
874. #3385C2×C67semidirect
875. #3375C2×C67semidirect
876. #3370C2×C67semidirect
877. #3346C2×C67semidirect
878. #3343C2×C67semidirect
879. #3334C2×C67semidirect
880. #3314C2×C67semidirect
881. #3309C2×C67semidirect
882. #3308C2×C67semidirect
883. #3306C2×C67semidirect
884. #3300C2×C67semidirect
885. #3294C2×C67semidirect
886. #3282C2×C67semidirect
887. #3268C2×C67semidirect
888. #3265C2×C67semidirect
889. #3180C2×C67semidirect
890. #3179C2×C67semidirect
891. #3175C2×C67semidirect
892. #3124C2×C67semidirect
893. #3124C2×C67semidirect
894. #3119C2×C67semidirect
895. #3118C2×C67semidirect
896. #3108C2×C67semidirect
897. #3100C2×C67semidirect
898. #2968C2×C67semidirect
899. #2951C2×C67semidirect
900. #2946C2×C67semidirect
901. C2×#440C2×C67semidirect
902. C67#61523direct (N × H)
908. #559C22×C67semidirect
909. Q82C22×C67semidirect
912. #554C22×C67semidirect
918. #550C22×C67semidirect
920. #548C22×C67semidirect
925. #547C22×C67semidirect
933. #542C22×C67semidirect
934. #542C22×C67semidirect
939. #532C22×C67semidirect
946. #520C22×C67semidirect
947. #520C22×C67semidirect
949. C2×C4×Q8C22×C67semidirect
951. #501C22×C67semidirect
952. #501C22×C67semidirect
953. #500C22×C67semidirect
955. #496C22×C67semidirect
956. #495C22×C67semidirect
957. #490C22×C67semidirect
958. #489C22×C67semidirect
959. #489C22×C67semidirect
960. #489C22×C67semidirect
961. #488C22×C67semidirect
963. #485C22×C67semidirect
964. #484C22×C67semidirect
965. #484C22×C67semidirect
966. #483C22×C67semidirect
967. #482C22×C67semidirect
968. #481C22×C67semidirect
971. #480C22×C67semidirect
972. #480C22×C67semidirect
973. #480C22×C67semidirect
974. #480C22×C67semidirect
975. #479C22×C67semidirect
976. #479C22×C67semidirect
977. #479C22×C67semidirect
978. #478C22×C67semidirect
979. #477C22×C67semidirect
980. #477C22×C67semidirect
984. #474C22×C67semidirect
985. #474C22×C67semidirect
986. #474C22×C67semidirect
987. #469C22×C67semidirect
989. #468C22×C67semidirect
990. #468C22×C67semidirect
991. #467C22×C67semidirect
995. #466C22×C67semidirect
996. #465C22×C67semidirect
997. #465C22×C67semidirect
998. #465C22×C67semidirect
999. #464C22×C67semidirect
1000. #464C22×C67semidirect
1001. #464C22×C67semidirect
1002. #464C22×C67semidirect
1005. #463C22×C67semidirect
1006. #463C22×C67semidirect
1010. #459C22×C67semidirect
1012. #452C22×C67semidirect
1013. #451C22×C67semidirect
1017. #449C22×C67semidirect
1018. #449C22×C67semidirect
1023. #446C22×C67semidirect
1024. #446C22×C67semidirect
1026. #442C22×C67semidirect
1027. #442C22×C67semidirect
1033. #440C22×C67semidirect
1034. #440C22×C67semidirect
1035. #440C22×C67semidirect
1036. #440C22×C67semidirect
1037. #440C22×C67semidirect
1038. #440C22×C67semidirect
1039. #440C22×C67semidirect
1040. #440C22×C67semidirect
1041. C4×Q16C22×C67semidirect
1042. C4×Q16C22×C67semidirect
1043. C4×Q16C22×C67semidirect
1045. C4×SD16C22×C67semidirect
1046. C4×SD16C22×C67semidirect
1050. C4×D8C22×C67semidirect
1051. C4×D8C22×C67semidirect
1052. C4×D8C22×C67semidirect
1054. #435C22×C67semidirect
1055. #435C22×C67semidirect
1056. #435C22×C67semidirect
1058. C8×D4C22×C67semidirect
1059. #433C22×C67semidirect
1060. #433C22×C67semidirect
1061. #431C22×C67semidirect
1062. #428C22×C67semidirect
1063. C2×#107C22×C67semidirect
1064. C2×#107C22×C67semidirect
1066. #417C22×C67semidirect
1067. #416C22×C67semidirect
1068. C2×#103C22×C67semidirect
1071. #405C22×C67semidirect
1072. #405C22×C67semidirect
1073. C2×#97C22×C67semidirect
1441. SD16#41×C67semidirect

Maximal subgroups

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

subgroupindex
C67×#35222
C67×#35132
C67×#34032
C67×#33852
C67×#33752
C67×#33702
C67×#33462
C67×#33432
C67×#33342
C67×#33142
C67×#33092
C67×#33082
C67×#33062
C67×#33002
C67×#32942
C67×#32822
C67×#32682
C67×#32652
C67×#31802
C67×#31792
C67×#31752
C67×#31242
C67×#31192
C67×#31182
C67×#31082
C67×#31002
C67×#29682
C67×#29512
C67×#29462
C2×#440×C672
#6152367