Finite Group Databasebeta

← C67×#61490 #30740741

Subgroups — C67×#61490 #30740741

Order 17152.

1840 conjugacy classes of subgroups.

The subgroup lattice has 1712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C67×#3516C211yesmaximal, characteristic, complemented
2C67×#3513C211yesmaximal, characteristic, complemented
3C67×#3401C211yesmaximal, characteristic, complemented
4C67×#3388C211yesmaximal, characteristic, complemented
5C67×#3365C211yesmaximal, characteristic, complemented
6C67×#3360C211yesmaximal, characteristic, complemented
7C67×#3351C211yesmaximal, characteristic, complemented
8C67×#3345C211yesmaximal, characteristic, complemented
9C67×#3344C211yesmaximal, characteristic, complemented
10C67×#3301C211yesmaximal, characteristic, complemented
11C67×#3300C211yesmaximal, characteristic, complemented
12C67×#3298C211yesmaximal, characteristic, complemented
13C67×#3297C211yesmaximal, characteristic, complemented
14C67×#3296C211yesmaximal, characteristic, complemented
15C67×#3295C211yesmaximal, characteristic, complemented
16C67×#3275C211yesmaximal, characteristic, complemented
17C67×#3266C211yesmaximal, characteristic, complemented
18C67×#3265C211yesmaximal, characteristic, complemented
19C67×#3179C211yesmaximal, characteristic, complemented
20C67×#3178C211yesmaximal, characteristic, complemented
21C67×#3168C211yesmaximal, characteristic, complemented
22C67×#3126C211yesmaximal, characteristic, complemented
23C67×#3125C211yesmaximal, characteristic, complemented
24C67×#3125C211yesmaximal, characteristic, complemented
25C67×#3123C211yesmaximal, characteristic, complemented
26C67×#3117C211yesmaximal, characteristic, complemented
27C67×#3114C211yesmaximal, characteristic, complemented
28C67×#2966C211yesmaximal, characteristic, complemented
29C67×#2947C211yesmaximal, characteristic, complemented
30C67×#2946C211yesmaximal, characteristic, complemented
31C2×C4×SD16×C67C211yesmaximal, characteristic, complemented
32C2×#137×C67C2211yescharacteristic
33C2×AGL(1,ℤ/8)×C67C2211yescharacteristic
34C22×SD16×C67C2211yescharacteristic
35#559×C67C2211yescharacteristic
36#557×C67C2211yescharacteristic, complemented
37#556×C67—21no—
38#556×C67C2211yescharacteristic, complemented
39#554×C67—21no—
40#554×C67C2211yescharacteristic
41#554×C67C2211yescharacteristic
42#553×C67—21no—
43#553×C67—21no—
44#553×C67C2211yescharacteristic
45#553×C67C2211yescharacteristic, complemented
46#552×C67—21no—
47#552×C67C2211yescharacteristic
48#552×C67C2211yescharacteristic, complemented
49#551×C67—21no—
50#551×C67—21no—
51D4×Q8×C67C2211yescharacteristic, complemented
52#548×C67C2211yescharacteristic
53#548×C67C2211yescharacteristic, complemented
54#547×C67C2211yescharacteristic
55#546×C67—21no—
56#546×C67C2211yescharacteristic
57#546×C67C2211yescharacteristic
58D42×C67C2211yescharacteristic
59#542×C67—21no—
60#542×C67C2211yescharacteristic
61#542×C67C2211yescharacteristic, complemented
62#541×C67—21no—
63#541×C67C2211yescharacteristic, complemented
64#540×C67C2211yescharacteristic
65#539×C67—21no—
66#538×C67—21no—
67#529×C67—21no—
68#529×C67—21no—
69#529×C67C2211yescharacteristic
70#529×C67C2211yescharacteristic
71#529×C67C2211yescharacteristic, complemented
72#525×C67—21no—
73C2×#123×C67—21no—
74#520×C67C2211yescharacteristic
75#520×C67C2211yescharacteristic, complemented
76#519×C67C2211yescharacteristic, complemented
77#518×C67C2211yescharacteristic
78C2×C4×Q8×C67C2211yescharacteristic, complemented
79C2×C4×D4×C67C2211yescharacteristic
80#501×C67C2211yescharacteristic, complemented
81#501×C67C2211yescharacteristic, complemented
82#499×C67C2211yescharacteristic, complemented
83#497×C67C2211yescharacteristic, complemented
84#496×C67C2211yescharacteristic
85#495×C67C2211yescharacteristic, complemented
86#488×C67C2211yescharacteristic, complemented
87#488×C67C2211yescharacteristic, complemented
88#488×C67C2211yescharacteristic, complemented
89#488×C67C2211yescharacteristic, complemented
90#487×C67C2211yescharacteristic, complemented
91#486×C67C2211yescharacteristic
92#485×C67C2211yescharacteristic, complemented
93#485×C67C2211yescharacteristic, complemented
94#484×C67C2211yescharacteristic, complemented
95#483×C67C2211yescharacteristic, complemented
96#483×C67C2211yescharacteristic, complemented
97#483×C67C2211yescharacteristic, complemented
98#482×C67C2211yescharacteristic, complemented
99#482×C67C2211yescharacteristic, complemented
100#481×C67C2211yescharacteristic
101#481×C67C2211yescharacteristic
102#481×C67C2211yescharacteristic, complemented
103#480×C67C2211yescharacteristic, complemented
104#479×C67C2211yescharacteristic, complemented
105#479×C67C2211yescharacteristic, complemented
106#479×C67C2211yescharacteristic, complemented
107#479×C67C2211yescharacteristic, complemented
108#478×C67C2211yescharacteristic
109#478×C67C2211yescharacteristic
110#478×C67C2211yescharacteristic, complemented
111#478×C67C2211yescharacteristic, complemented
112#476×C67C2211yescharacteristic
113#476×C67C2211yescharacteristic, complemented
114#475×C67C2211yescharacteristic, complemented
115#475×C67C2211yescharacteristic, complemented
116#470×C67C2211yescharacteristic, complemented
117#469×C67C2211yescharacteristic, complemented
118#468×C67C2211yescharacteristic
119#468×C67C2211yescharacteristic, complemented
120#467×C67C2211yescharacteristic, complemented
121#467×C67C2211yescharacteristic, complemented
122#466×C67C2211yescharacteristic
123#466×C67C2211yescharacteristic, complemented
124#465×C67C2211yescharacteristic
125#465×C67C2211yescharacteristic
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#461×C67C2211yescharacteristic
137#461×C67C2211yescharacteristic, complemented
138#460×C67C2211yescharacteristic
139#460×C67C2211yescharacteristic
140#452×C67C2211yescharacteristic
141#452×C67C2211yescharacteristic, complemented
142#451×C67C2211yescharacteristic, complemented
143#450×C67C2211yescharacteristic
144#450×C67C2211yescharacteristic
145#450×C67C2211yescharacteristic
146#449×C67C2211yescharacteristic
147#449×C67C2211yescharacteristic
148#448×C67C2211yescharacteristic
149#448×C67C2211yescharacteristic, complemented
150#448×C67C2211yescharacteristic, complemented
151#447×C67C2211yescharacteristic
152#446×C67C2211yescharacteristic, complemented
153C8×Q8×C67C2211yescharacteristic, complemented
154#442×C67C2211yescharacteristic
155#442×C67C2211yescharacteristic, complemented
156#442×C67C2211yescharacteristic, complemented
157#441×C67C2211yescharacteristic, complemented
158#441×C67C2211yescharacteristic, complemented
159#441×C67C2211yescharacteristic, complemented
160#440×C67C2211yescharacteristic
161#440×C67C2211yescharacteristic
162#440×C67C2211yescharacteristic
163#440×C67C2211yescharacteristic, complemented
164#440×C67C2211yescharacteristic, complemented
165#440×C67C2211yescharacteristic, complemented
166C4×Q16×C67C2211yescharacteristic, complemented
167C4×Q16×C67C2211yescharacteristic, complemented
168C4×SD16×C67C2211yescharacteristic
169C4×SD16×C67C2211yescharacteristic
170C4×SD16×C67C2211yescharacteristic
171C4×SD16×C67C2211yescharacteristic
172C4×SD16×C67C2211yescharacteristic
173C4×SD16×C67C2211yescharacteristic, complemented
174C4×SD16×C67C2211yescharacteristic, complemented
175C4×SD16×C67C2211yescharacteristic, complemented
176C4×SD16×C67C2211yescharacteristic, complemented
177C4×SD16×C67C2211yescharacteristic, complemented
178C4×SD16×C67C2211yescharacteristic, complemented
179C4×SD16×C67C2211yescharacteristic, complemented
180C4×D8×C67C2211yescharacteristic
181C4×D8×C67C2211yescharacteristic, complemented
182#436×C67C2211yescharacteristic, complemented
183#435×C67C2211yescharacteristic
184#435×C67C2211yescharacteristic, complemented
185C8×D4×C67C2211yescharacteristic
186C8×D4×C67C2211yescharacteristic, complemented
187C8×D4×C67C2211yescharacteristic, complemented
188#433×C67C2211yescharacteristic, complemented
189#433×C67C2211yescharacteristic, complemented
190#432×C67C2211yescharacteristic, complemented
191#428×C67C2211yescharacteristic, complemented
192#428×C67C2211yescharacteristic, complemented
193C2×#106×C67C2211yescharacteristic, complemented
194#416×C67C2211yescharacteristic
195#416×C67C2211yescharacteristic, complemented
196C2×#103×C67C2211yescharacteristic, complemented
197C2×#103×C67C2211yescharacteristic, complemented
198C2×#102×C67C2211yescharacteristic
199C2×#102×C67C2211yescharacteristic
200#405×C67C2211yescharacteristic, complemented
201#405×C67C2211yescharacteristic, complemented
202C2×C4×C8×C67C2211yescharacteristic, complemented
203C2×#41×C67—21no—
204C2×#41×C67C2311yescharacteristic
205C2×#41×C67C2311yescharacteristic
206C22×Q8×C67C2311yescharacteristic
207C22×Q8×C67C2311yescharacteristic
208C22×D4×C67—21no—
209C22×D4×C67C2311yescharacteristic
210C22×D4×C67C2311yescharacteristic
211C23×C4×C67—21no—
212#137×C67—24no—
213AGL(1,ℤ/8)×C67—24no—
214C2×Q16×C67C2311yescharacteristic
215C2×Q16×C67C2311yescharacteristic
216C2×Q16×C67C2311yescharacteristic
217C2×SD16×C67—24no—
218C2×SD16×C67C2311yescharacteristic
219C2×SD16×C67C2311yescharacteristic
220C2×SD16×C67C2311yescharacteristic
221C2×SD16×C67C2311yescharacteristic
222C2×SD16×C67C2311yescharacteristic
223C2×SD16×C67C2311yescharacteristic
224C2×SD16×C67C2311yescharacteristic
225C2×SD16×C67C2311yescharacteristic
226C2×SD16×C67C2311yescharacteristic
227C2×SD16×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×C67—21no—
238C4⋊Q8×C67—21no—
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×C67D411yescharacteristic
256#126×C67D411yescharacteristic
257#125×C67—21no—
258#125×C67—21no—
259#125×C67—21no—
260#125×C67—21no—
261#125×C67—21no—
262#125×C67—21no—
263#125×C67—21no—
264#125×C67D411yescharacteristic
265#125×C67C2311yescharacteristic
266#125×C67C2311yescharacteristic
267#125×C67C2311yescharacteristic
268#125×C67C2311yescharacteristic
269#124×C67—21no—
270#124×C67—21no—
271#124×C67—21no—
272#124×C67—21no—
273#124×C67—21no—
274#124×C67D411yescharacteristic
275#124×C67C2311yescharacteristic
276#124×C67C2311yescharacteristic
277#124×C67C2311yescharacteristic
278#124×C67C2311yescharacteristic
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×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×C67—21no—
308C22⋊Q8×C67—21no—
309C22⋊Q8×C67—21no—
310C22⋊Q8×C67D411yescharacteristic
311C22⋊Q8×C67C2311yescharacteristic
312C22⋊Q8×C67C2311yescharacteristic
313C22⋊Q8×C67C2311yescharacteristic
314C22⋊Q8×C67C2311yescharacteristic
315C22⋊Q8×C67C2311yescharacteristic
316C22⋊Q8×C67C2311yescharacteristic
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×C67D411yescharacteristic
327#121×C67C2311yescharacteristic
328#121×C67C2311yescharacteristic
329#121×C67C2311yescharacteristic
330#121×C67C2311yescharacteristic
331#121×C67C2311yescharacteristic
332#121×C67C2311yescharacteristic
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×C67—21no—
340C4×Q8×C67—21no—
341C4×Q8×C67—21no—
342C4×Q8×C67C2311yescharacteristic
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×Q8×C67C2311yescharacteristic
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×C67C2311yescharacteristic
371C4×D4×C67C2311yescharacteristic
372C4×D4×C67C2311yescharacteristic
373C4×D4×C67C2311yescharacteristic
374C4×D4×C67C2311yescharacteristic
375C4×D4×C67C2311yescharacteristic
376C4×D4×C67C2311yescharacteristic
377C4×D4×C67C2311yescharacteristic
378C4×D4×C67C2311yescharacteristic
379C4×D4×C67C2311yescharacteristic
380C4×D4×C67C2311yescharacteristic
381C4×D4×C67C2311yescharacteristic
382C4×D4×C67C2311yescharacteristic
383#117×C67—21no—
384#117×C67—21no—
385#117×C67—21no—
386#117×C67—21no—
387#117×C67—21no—
388#117×C67—21no—
389#117×C67—21no—
390#117×C67—21no—
391#117×C67—21no—
392#117×C67C2311yescharacteristic
393#117×C67C2311yescharacteristic
394#117×C67C2311yescharacteristic
395#117×C67C2311yescharacteristic
396C2×C4⋊C4×C67—21no—
397C2×C4⋊C4×C67—21no—
398C2×C4⋊C4×C67—21no—
399C2×C4⋊C4×C67—21no—
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#106×C67C2311yescharacteristic
418#106×C67C2311yescharacteristic
419#106×C67C2311yescharacteristic
420#106×C67C2311yescharacteristic
421#106×C67C2311yescharacteristic
422#106×C67C2311yescharacteristic
423#106×C67C2311yescharacteristic
424#106×C67C2311yescharacteristic
425#106×C67C2311yescharacteristic
426#106×C67C2311yescharacteristic
427C4⋊C8×C67C2311yescharacteristic
428C4⋊C8×C67C2311yescharacteristic
429C4⋊C8×C67C2311yescharacteristic
430C4⋊C8×C67C2311yescharacteristic
431C4⋊C8×C67C2311yescharacteristic
432C4⋊C8×C67C2311yescharacteristic
433#103×C67C2311yescharacteristic
434#103×C67C2311yescharacteristic
435#103×C67C2311yescharacteristic
436#103×C67C2311yescharacteristic
437#103×C67C2311yescharacteristic
438#103×C67C2311yescharacteristic
439#103×C67C2311yescharacteristic
440#103×C67C2311yescharacteristic
441#103×C67C2311yescharacteristic
442#103×C67C2311yescharacteristic
443#103×C67C2311yescharacteristic
444#103×C67C2311yescharacteristic
445#103×C67C2311yescharacteristic
446#103×C67C2311yescharacteristic
447#103×C67C2311yescharacteristic
448#103×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
475C4×C8×C67C2311yescharacteristic
476C4×C8×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—41no—
486#41×C67—41no—
487#41×C67—82no—
488C2×Q8×C67—21no—
489C2×Q8×C67—21no—
490C2×Q8×C67—21no—
491C2×Q8×C67—21no—
492C2×Q8×C67—22no—
493C2×Q8×C67—22no—
494C2×Q8×C67—41no—
495C2×Q8×C67—41no—
496C2×Q8×C67C2×D411yescharacteristic
497C2×Q8×C67C2411yescharacteristic
498C2×Q8×C67C2411yescharacteristic
499C2×Q8×C67C2411yescharacteristic
500C2×Q8×C67C2411yescharacteristic
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—41no—
516C2×D4×C67—41no—
517C2×D4×C67—82no—
518C2×D4×C67C2×D411yescharacteristic
519C2×D4×C67C2×D411yescharacteristic
520C2×D4×C67C2×D411yescharacteristic
521C2×D4×C67C2411yescharacteristic
522C2×D4×C67C2411yescharacteristic
523C2×D4×C67C2411yescharacteristic
524C2×D4×C67C2411yescharacteristic
525C22×C4×C67—21no—
526C22×C4×C67—21no—
527C22×C4×C67—21no—
528C22×C4×C67—21no—
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—82no—
544C22×C4×C67C2×D411yescharacteristic
545C22×C4×C67C2×D411yescharacteristic
546C22×C4×C67C2411yescharacteristic
547C22×C4×C67C2411yescharacteristic
548C22×C4×C67C2411yescharacteristic
549Q16×C67—22no—
550Q16×C67—22no—
551Q16×C67—41no—
552SD16×C67—22no—
553SD16×C67—22no—
554SD16×C67—22no—
555SD16×C67—22no—
556SD16×C67—22no—
557SD16×C67—41no—
558SD16×C67—41no—
559SD16×C67—41no—
560SD16×C67—41no—
561SD16×C67#4114yescomplemented
562D8×C67—22no—
563D8×C67—22no—
564D8×C67—41no—
565M16×C67—22no—
566M16×C67—22no—
567C2×C8×C67—22no—
568C2×C8×C67—41no—
569C2×C8×C67—41no—
570C2×C8×C67—41no—
571C2×C8×C67C2411yescharacteristic
572C2×C8×C67C2411yescharacteristic
573C2×C8×C67C2411yescharacteristic
574C2×C8×C67C2411yescharacteristic
575C2×C8×C67C2411yescharacteristic
576C2×C8×C67C2411yescharacteristic
577C2×C8×C67C2411yescharacteristic
578C2×C8×C67C2411yescharacteristic
579C4⋊C4×C67—21no—
580C4⋊C4×C67—21no—
581C4⋊C4×C67—21no—
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×C67—21no—
606C4⋊C4×C67—21no—
607C4⋊C4×C67—21no—
608C4⋊C4×C67—21no—
609C4⋊C4×C67—21no—
610C4⋊C4×C67—21no—
611C4⋊C4×C67C2×D411yescharacteristic
612C4⋊C4×C67C2×D411yescharacteristic
613C4⋊C4×C67C2×D411yescharacteristic
614C4⋊C4×C67C2×D411yescharacteristic
615C4⋊C4×C67C2×D411yescharacteristic
616C4⋊C4×C67C2×D411yescharacteristic
617C4⋊C4×C67C2×D411yescharacteristic
618C4⋊C4×C67C2×D411yescharacteristic
619C4⋊C4×C67C2×D411yescharacteristic
620C4⋊C4×C67C2×D411yescharacteristic
621C4⋊C4×C67C2411yescharacteristic
622C4⋊C4×C67C2411yescharacteristic
623C4⋊C4×C67C2411yescharacteristic
624C4⋊C4×C67C2411yescharacteristic
625C4⋊C4×C67C2411yescharacteristic
626C4⋊C4×C67C2411yescharacteristic
627C4⋊C4×C67C2411yescharacteristic
628C4⋊C4×C67C2411yescharacteristic
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×C67C2×D411yescharacteristic
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
671C42×C67—21no—
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—42no—
694C23×C67—42no—
695C23×C67—42no—
696C23×C67—81no—
697C23×C67—81no—
698C23×C67—81no—
699C23×C67C22×D411yescharacteristic
700C23×C67C22×D411yescharacteristic
701C23×C67C22×D411yescharacteristic
702Q8×C67—21no—
703Q8×C67—21no—
704Q8×C67—21no—
705Q8×C67—21no—
706Q8×C67—21no—
707Q8×C67—21no—
708Q8×C67—21no—
709Q8×C67—41no—
710Q8×C67—42no—
711Q8×C67—42no—
712Q8×C67—81no—
713Q8×C67—81no—
714Q8×C67C2×#4112yes—
715D4×C67—22no—
716D4×C67—22no—
717D4×C67—21no—
718D4×C67—21no—
719D4×C67—21no—
720D4×C67—21no—
721D4×C67—21no—
722D4×C67—21no—
723D4×C67—21no—
724D4×C67—41no—
725D4×C67—42no—
726D4×C67—42no—
727D4×C67—42no—
728D4×C67—42no—
729D4×C67—42no—
730D4×C67—42no—
731D4×C67—81no—
732D4×C67—81no—
733D4×C67—81no—
734D4×C67—81no—
735D4×C67—81no—
736D4×C67—81no—
737D4×C67C2×#4112yes—
738C2×C4×C67—22no—
739C2×C4×C67—21no—
740C2×C4×C67—21no—
741C2×C4×C67—21no—
742C2×C4×C67—21no—
743C2×C4×C67—21no—
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—41no—
758C2×C4×C67—42no—
759C2×C4×C67—42no—
760C2×C4×C67—42no—
761C2×C4×C67—42no—
762C2×C4×C67—42no—
763C2×C4×C67—81no—
764C2×C4×C67—81no—
765C2×C4×C67—81no—
766C2×C4×C67—81no—
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×C67C22×D411yescharacteristic
777C2×C4×C67C22×D411yescharacteristic
778C2×C4×C67C22×D411yescharacteristic
779C2×C4×C67C22×D411yescharacteristic
780C2×C4×C67C22×D411yescharacteristic
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×C67C2511yescharacteristic
788C8×C67—21no—
789C8×C67—21no—
790C8×C67—21no—
791C8×C67—21no—
792C8×C67—21no—
793C8×C67—21no—
794C8×C67—21no—
795C8×C67C2×#4112yes—
796C22×C67—21no—
797C22×C67—21no—
798C22×C67—21no—
799C22×C67—21no—
800C22×C67—21no—
801C22×C67—21no—
802C22×C67—22no—
803C22×C67—21no—
804C22×C67—21no—
805C22×C67—41no—
806C22×C67—41no—
807C22×C67—41no—
808C22×C67—41no—
809C22×C67—41no—
810C22×C67—41no—
811C22×C67—41no—
812C22×C67—41no—
813C22×C67—41no—
814C22×C67—41no—
815C22×C67—41no—
816C22×C67—84no—
817C22×C67—162no—
818C22×C67#57712yes—
819C22×C67C23×D411yescharacteristic
820C4×C67—21no—
821C4×C67—21no—
822C4×C67—21no—
823C4×C67—21no—
824C4×C67—21no—
825C4×C67—21no—
826C4×C67—21no—
827C4×C67—22no—
828C4×C67—21no—
829C4×C67—21no—
830C4×C67—21no—
831C4×C67—21no—
832C4×C67—41no—
833C4×C67—41no—
834C4×C67—41no—
835C4×C67—41no—
836C4×C67—41no—
837C4×C67—41no—
838C4×C67—41no—
839C4×C67—41no—
840C4×C67—41no—
841C4×C67—41no—
842C4×C67—41no—
843C4×C67C22×#4111yescharacteristic
844C4×C67#58511yescharacteristic
845#61490C6711yesmaximal, characteristic, direct product factor, Sylow
846C2×C67—22no—
847C2×C67—41no—
848C2×C67—41no—
849C2×C67—42no—
850C2×C67—81no—
851C2×C67—81no—
852C2×C67—81no—
853C2×C67D4×#4111yescharacteristic
854C2×C67C2×#57711yescharacteristic
855C2×C67#358411yescharacteristic
856#3516C2×C6711yescharacteristic, complemented
857#3513C2×C6711yescharacteristic, complemented
858#3401C2×C6711yescharacteristic, complemented
859#3388C2×C6711yescharacteristic, complemented
860#3365C2×C6711yescharacteristic, complemented
861#3360C2×C6711yescharacteristic, complemented
862#3351C2×C6711yescharacteristic, complemented
863#3345C2×C6711yescharacteristic, complemented
864#3344C2×C6711yescharacteristic, complemented
865#3301C2×C6711yescharacteristic, complemented
866#3300C2×C6711yescharacteristic, complemented
867#3298C2×C6711yescharacteristic, complemented
868#3297C2×C6711yescharacteristic, complemented
869#3296C2×C6711yescharacteristic, complemented
870#3295C2×C6711yescharacteristic, complemented
871#3275C2×C6711yescharacteristic, complemented
872#3266C2×C6711yescharacteristic, complemented
873#3265C2×C6711yescharacteristic, complemented
874#3179C2×C6711yescharacteristic, complemented
875#3178C2×C6711yescharacteristic, complemented
876#3168C2×C6711yescharacteristic, complemented
877#3126C2×C6711yescharacteristic, complemented
878#3125C2×C6711yescharacteristic, complemented
879#3125C2×C6711yescharacteristic, complemented
880#3123C2×C6711yescharacteristic, complemented
881#3117C2×C6711yescharacteristic, complemented
882#3114C2×C6711yescharacteristic, complemented
883#2966C2×C6711yescharacteristic, complemented
884#2947C2×C6711yescharacteristic, complemented
885#2946C2×C6711yescharacteristic, complemented
886C2×C4×SD16C2×C6711yescharacteristic, complemented
887C67#6149011yescharacteristic, direct product factor, Sylow
888C2×#137C22×C6711yescharacteristic
889C2×AGL(1,ℤ/8)C22×C6711yescharacteristic
890C22×SD16C22×C6711yescharacteristic
891#559C22×C6711yescharacteristic
892#557C22×C6711yescharacteristic, complemented
893#556—21no—
894#556C22×C6711yescharacteristic, complemented
895#554—21no—
896#554C22×C6711yescharacteristic
897#554C22×C6711yescharacteristic
898#553—21no—
899#553—21no—
900#553C22×C6711yescharacteristic
901#553C22×C6711yescharacteristic, complemented
902#552—21no—
903#552C22×C6711yescharacteristic
904#552C22×C6711yescharacteristic, complemented
905#551—21no—
906#551—21no—
907D4×Q8C22×C6711yescharacteristic, complemented
908#548C22×C6711yescharacteristic
909#548C22×C6711yescharacteristic, complemented
910#547C22×C6711yescharacteristic
911#546—21no—
912#546C22×C6711yescharacteristic
913#546C22×C6711yescharacteristic
914D42C22×C6711yescharacteristic
915#542—21no—
916#542C22×C6711yescharacteristic
917#542C22×C6711yescharacteristic, complemented
918#541—21no—
919#541C22×C6711yescharacteristic, complemented
920#540C22×C6711yescharacteristic
921#539—21no—
922#538—21no—
923#529—21no—
924#529—21no—
925#529C22×C6711yescharacteristic
926#529C22×C6711yescharacteristic
927#529C22×C6711yescharacteristic, complemented
928#525—21no—
929C2×#123—21no—
930#520C22×C6711yescharacteristic
931#520C22×C6711yescharacteristic, complemented
932#519C22×C6711yescharacteristic, complemented
933#518C22×C6711yescharacteristic
934C2×C4×Q8C22×C6711yescharacteristic, complemented
935C2×C4×D4C22×C6711yescharacteristic
936#501C22×C6711yescharacteristic, complemented
937#501C22×C6711yescharacteristic, complemented
938#499C22×C6711yescharacteristic, complemented
939#497C22×C6711yescharacteristic, complemented
940#496C22×C6711yescharacteristic
941#495C22×C6711yescharacteristic, complemented
942#488C22×C6711yescharacteristic, complemented
943#488C22×C6711yescharacteristic, complemented
944#488C22×C6711yescharacteristic, complemented
945#488C22×C6711yescharacteristic, complemented
946#487C22×C6711yescharacteristic, complemented
947#486C22×C6711yescharacteristic
948#485C22×C6711yescharacteristic, complemented
949#485C22×C6711yescharacteristic, complemented
950#484C22×C6711yescharacteristic, complemented
951#483C22×C6711yescharacteristic, complemented
952#483C22×C6711yescharacteristic, complemented
953#483C22×C6711yescharacteristic, complemented
954#482C22×C6711yescharacteristic, complemented
955#482C22×C6711yescharacteristic, complemented
956#481C22×C6711yescharacteristic
957#481C22×C6711yescharacteristic
958#481C22×C6711yescharacteristic, complemented
959#480C22×C6711yescharacteristic, complemented
960#479C22×C6711yescharacteristic, complemented
961#479C22×C6711yescharacteristic, complemented
962#479C22×C6711yescharacteristic, complemented
963#479C22×C6711yescharacteristic, complemented
964#478C22×C6711yescharacteristic
965#478C22×C6711yescharacteristic
966#478C22×C6711yescharacteristic, complemented
967#478C22×C6711yescharacteristic, complemented
968#476C22×C6711yescharacteristic
969#476C22×C6711yescharacteristic, complemented
970#475C22×C6711yescharacteristic, complemented
971#475C22×C6711yescharacteristic, complemented
972#470C22×C6711yescharacteristic, complemented
973#469C22×C6711yescharacteristic, complemented
974#468C22×C6711yescharacteristic
975#468C22×C6711yescharacteristic, complemented
976#467C22×C6711yescharacteristic, complemented
977#467C22×C6711yescharacteristic, complemented
978#466C22×C6711yescharacteristic
979#466C22×C6711yescharacteristic, complemented
980#465C22×C6711yescharacteristic
981#465C22×C6711yescharacteristic
982#465C22×C6711yescharacteristic, complemented
983#465C22×C6711yescharacteristic, complemented
984#464C22×C6711yescharacteristic, complemented
985#464C22×C6711yescharacteristic, complemented
986#464C22×C6711yescharacteristic, complemented
987#464C22×C6711yescharacteristic, complemented
988#463C22×C6711yescharacteristic
989#463C22×C6711yescharacteristic
990#463C22×C6711yescharacteristic, complemented
991#463C22×C6711yescharacteristic, complemented
992#461C22×C6711yescharacteristic
993#461C22×C6711yescharacteristic, complemented
994#460C22×C6711yescharacteristic
995#460C22×C6711yescharacteristic
996#452C22×C6711yescharacteristic
997#452C22×C6711yescharacteristic, complemented
998#451C22×C6711yescharacteristic, complemented
999#450C22×C6711yescharacteristic
1000#450C22×C6711yescharacteristic
1001#450C22×C6711yescharacteristic
1002#449C22×C6711yescharacteristic
1003#449C22×C6711yescharacteristic
1004#448C22×C6711yescharacteristic
1005#448C22×C6711yescharacteristic, complemented
1006#448C22×C6711yescharacteristic, complemented
1007#447C22×C6711yescharacteristic
1008#446C22×C6711yescharacteristic, complemented
1009C8×Q8C22×C6711yescharacteristic, complemented
1010#442C22×C6711yescharacteristic
1011#442C22×C6711yescharacteristic, complemented
1012#442C22×C6711yescharacteristic, complemented
1013#441C22×C6711yescharacteristic, complemented
1014#441C22×C6711yescharacteristic, complemented
1015#441C22×C6711yescharacteristic, complemented
1016#440C22×C6711yescharacteristic
1017#440C22×C6711yescharacteristic
1018#440C22×C6711yescharacteristic
1019#440C22×C6711yescharacteristic, complemented
1020#440C22×C6711yescharacteristic, complemented
1021#440C22×C6711yescharacteristic, complemented
1022C4×Q16C22×C6711yescharacteristic, complemented
1023C4×Q16C22×C6711yescharacteristic, complemented
1024C4×SD16C22×C6711yescharacteristic
1025C4×SD16C22×C6711yescharacteristic
1026C4×SD16C22×C6711yescharacteristic
1027C4×SD16C22×C6711yescharacteristic
1028C4×SD16C22×C6711yescharacteristic
1029C4×SD16C22×C6711yescharacteristic, complemented
1030C4×SD16C22×C6711yescharacteristic, complemented
1031C4×SD16C22×C6711yescharacteristic, complemented
1032C4×SD16C22×C6711yescharacteristic, complemented
1033C4×SD16C22×C6711yescharacteristic, complemented
1034C4×SD16C22×C6711yescharacteristic, complemented
1035C4×SD16C22×C6711yescharacteristic, complemented
1036C4×D8C22×C6711yescharacteristic
1037C4×D8C22×C6711yescharacteristic, complemented
1038#436C22×C6711yescharacteristic, complemented
1039#435C22×C6711yescharacteristic
1040#435C22×C6711yescharacteristic, complemented
1041C8×D4C22×C6711yescharacteristic
1042C8×D4C22×C6711yescharacteristic, complemented
1043C8×D4C22×C6711yescharacteristic, complemented
1044#433C22×C6711yescharacteristic, complemented
1045#433C22×C6711yescharacteristic, complemented
1046#432C22×C6711yescharacteristic, complemented
1047#428C22×C6711yescharacteristic, complemented
1048#428C22×C6711yescharacteristic, complemented
1049C2×#106C22×C6711yescharacteristic, complemented
1050#416C22×C6711yescharacteristic
1051#416C22×C6711yescharacteristic, complemented
1052C2×#103C22×C6711yescharacteristic, complemented
1053C2×#103C22×C6711yescharacteristic, complemented
1054C2×#102C22×C6711yescharacteristic
1055C2×#102C22×C6711yescharacteristic
1056#405C22×C6711yescharacteristic, complemented
1057#405C22×C6711yescharacteristic, complemented
1058C2×C4×C8C22×C6711yescharacteristic, complemented
1059C2×#41—21no—
1060C2×#41C23×C6711yescharacteristic
1061C2×#41C23×C6711yescharacteristic
1062C22×Q8C23×C6711yescharacteristic
1063C22×Q8C23×C6711yescharacteristic
1064C22×D4—21no—
1065C22×D4C23×C6711yescharacteristic
1066C22×D4C23×C6711yescharacteristic
1067C23×C4—21no—
1068#137—24no—
1069AGL(1,ℤ/8)—24no—
1070C2×Q16C23×C6711yescharacteristic
1071C2×Q16C23×C6711yescharacteristic
1072C2×Q16C23×C6711yescharacteristic
1073C2×SD16—24no—
1074C2×SD16C23×C6711yescharacteristic
1075C2×SD16C23×C6711yescharacteristic
1076C2×SD16C23×C6711yescharacteristic
1077C2×SD16C23×C6711yescharacteristic
1078C2×SD16C23×C6711yescharacteristic
1079C2×SD16C23×C6711yescharacteristic
1080C2×SD16C23×C6711yescharacteristic
1081C2×SD16C23×C6711yescharacteristic
1082C2×SD16C23×C6711yescharacteristic
1083C2×SD16C23×C6711yescharacteristic
1084C2×D8C23×C6711yescharacteristic
1085C2×D8C23×C6711yescharacteristic
1086C2×D8C23×C6711yescharacteristic
1087C2×M16C23×C6711yescharacteristic
1088C2×M16C23×C6711yescharacteristic
1089C22×C8C23×C6711yescharacteristic
1090C22×C8C23×C6711yescharacteristic
1091C22×C8C23×C6711yescharacteristic
1092C22×C8C23×C6711yescharacteristic
1093C4⋊Q8—21no—
1094C4⋊Q8—21no—
1095C4⋊Q8C23×C6711yescharacteristic
1096C4⋊Q8C23×C6711yescharacteristic
1097C4⋊Q8C23×C6711yescharacteristic
1098#127C23×C6711yescharacteristic
1099#126—21no—
1100#126—21no—
1101#126—21no—
1102#126—21no—
1103#126—21no—
1104#126—21no—
1105#126—21no—
1106#126—21no—
1107#126—21no—
1108#126—21no—
1109#126—21no—
1110#126—21no—
1111#126D4×C6711yescharacteristic
1112#126D4×C6711yescharacteristic
1113#125—21no—
1114#125—21no—
1115#125—21no—
1116#125—21no—
1117#125—21no—
1118#125—21no—
1119#125—21no—
1120#125D4×C6711yescharacteristic
1121#125C23×C6711yescharacteristic
1122#125C23×C6711yescharacteristic
1123#125C23×C6711yescharacteristic
1124#125C23×C6711yescharacteristic
1125#124—21no—
1126#124—21no—
1127#124—21no—
1128#124—21no—
1129#124—21no—
1130#124D4×C6711yescharacteristic
1131#124C23×C6711yescharacteristic
1132#124C23×C6711yescharacteristic
1133#124C23×C6711yescharacteristic
1134#124C23×C6711yescharacteristic
1135#123—21no—
1136#123—21no—
1137#123—21no—
1138#123—21no—
1139#123—21no—
1140#123—21no—
1141#123—21no—
1142#123—21no—
1143#123—21no—
1144#123—21no—
1145#123—21no—
1146#123—21no—
1147#123—21no—
1148#123—21no—
1149#123—21no—
1150#123—21no—
1151#123D4×C6711yescharacteristic
1152#123D4×C6711yescharacteristic
1153C22⋊Q8—21no—
1154C22⋊Q8—21no—
1155C22⋊Q8—21no—
1156C22⋊Q8—21no—
1157C22⋊Q8—21no—
1158C22⋊Q8—21no—
1159C22⋊Q8—21no—
1160C22⋊Q8—21no—
1161C22⋊Q8—21no—
1162C22⋊Q8—21no—
1163C22⋊Q8—21no—
1164C22⋊Q8—21no—
1165C22⋊Q8—21no—
1166C22⋊Q8D4×C6711yescharacteristic
1167C22⋊Q8C23×C6711yescharacteristic
1168C22⋊Q8C23×C6711yescharacteristic
1169C22⋊Q8C23×C6711yescharacteristic
1170C22⋊Q8C23×C6711yescharacteristic
1171C22⋊Q8C23×C6711yescharacteristic
1172C22⋊Q8C23×C6711yescharacteristic
1173#121—21no—
1174#121—21no—
1175#121—21no—
1176#121—21no—
1177#121—21no—
1178#121—21no—
1179#121—21no—
1180#121—21no—
1181#121—21no—
1182#121D4×C6711yescharacteristic
1183#121C23×C6711yescharacteristic
1184#121C23×C6711yescharacteristic
1185#121C23×C6711yescharacteristic
1186#121C23×C6711yescharacteristic
1187#121C23×C6711yescharacteristic
1188#121C23×C6711yescharacteristic
1189#120—21no—
1190#120—21no—
1191#120—21no—
1192#120—21no—
1193C4×Q8—21no—
1194C4×Q8—21no—
1195C4×Q8—21no—
1196C4×Q8—21no—
1197C4×Q8—21no—
1198C4×Q8C23×C6711yescharacteristic
1199C4×Q8C23×C6711yescharacteristic
1200C4×Q8C23×C6711yescharacteristic
1201C4×Q8C23×C6711yescharacteristic
1202C4×Q8C23×C6711yescharacteristic
1203C4×Q8C23×C6711yescharacteristic
1204C4×Q8C23×C6711yescharacteristic
1205C4×Q8C23×C6711yescharacteristic
1206C4×Q8C23×C6711yescharacteristic
1207C4×Q8C23×C6711yescharacteristic
1208C4×Q8C23×C6711yescharacteristic
1209C4×D4—21no—
1210C4×D4—21no—
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×D4C23×C6711yescharacteristic
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
1239#117—21no—
1240#117—21no—
1241#117—21no—
1242#117—21no—
1243#117—21no—
1244#117—21no—
1245#117—21no—
1246#117—21no—
1247#117—21no—
1248#117C23×C6711yescharacteristic
1249#117C23×C6711yescharacteristic
1250#117C23×C6711yescharacteristic
1251#117C23×C6711yescharacteristic
1252C2×C4⋊C4—21no—
1253C2×C4⋊C4—21no—
1254C2×C4⋊C4—21no—
1255C2×C4⋊C4—21no—
1256C2×C4⋊C4C23×C6711yescharacteristic
1257C2×C4⋊C4C23×C6711yescharacteristic
1258C2×C4⋊C4C23×C6711yescharacteristic
1259C2×C4⋊C4C23×C6711yescharacteristic
1260C2×C22⋊C4—21no—
1261C2×C22⋊C4—21no—
1262C2×C22⋊C4—21no—
1263C2×C22⋊C4—21no—
1264C2×C22⋊C4—21no—
1265C2×C42—21no—
1266C2×C42C23×C6711yescharacteristic
1267#107C23×C6711yescharacteristic
1268#107C23×C6711yescharacteristic
1269#107C23×C6711yescharacteristic
1270#107C23×C6711yescharacteristic
1271#107C23×C6711yescharacteristic
1272#107C23×C6711yescharacteristic
1273#106C23×C6711yescharacteristic
1274#106C23×C6711yescharacteristic
1275#106C23×C6711yescharacteristic
1276#106C23×C6711yescharacteristic
1277#106C23×C6711yescharacteristic
1278#106C23×C6711yescharacteristic
1279#106C23×C6711yescharacteristic
1280#106C23×C6711yescharacteristic
1281#106C23×C6711yescharacteristic
1282#106C23×C6711yescharacteristic
1283C4⋊C8C23×C6711yescharacteristic
1284C4⋊C8C23×C6711yescharacteristic
1285C4⋊C8C23×C6711yescharacteristic
1286C4⋊C8C23×C6711yescharacteristic
1287C4⋊C8C23×C6711yescharacteristic
1288C4⋊C8C23×C6711yescharacteristic
1289#103C23×C6711yescharacteristic
1290#103C23×C6711yescharacteristic
1291#103C23×C6711yescharacteristic
1292#103C23×C6711yescharacteristic
1293#103C23×C6711yescharacteristic
1294#103C23×C6711yescharacteristic
1295#103C23×C6711yescharacteristic
1296#103C23×C6711yescharacteristic
1297#103C23×C6711yescharacteristic
1298#103C23×C6711yescharacteristic
1299#103C23×C6711yescharacteristic
1300#103C23×C6711yescharacteristic
1301#103C23×C6711yescharacteristic
1302#103C23×C6711yescharacteristic
1303#103C23×C6711yescharacteristic
1304#103C23×C6711yescharacteristic
1305#102C23×C6711yescharacteristic
1306#102C23×C6711yescharacteristic
1307#102C23×C6711yescharacteristic
1308#102C23×C6711yescharacteristic
1309#102C23×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
1321C22⋊C8C23×C6711yescharacteristic
1322C22⋊C8C23×C6711yescharacteristic
1323C22⋊C8C23×C6711yescharacteristic
1324C22⋊C8C23×C6711yescharacteristic
1325C22⋊C8C23×C6711yescharacteristic
1326C22⋊C8C23×C6711yescharacteristic
1327#97C23×C6711yescharacteristic
1328#97C23×C6711yescharacteristic
1329#97C23×C6711yescharacteristic
1330#97C23×C6711yescharacteristic
1331C4×C8C23×C6711yescharacteristic
1332C4×C8C23×C6711yescharacteristic
1333C4×C8C23×C6711yescharacteristic
1334C4×C8C23×C6711yescharacteristic
1335C4×C8C23×C6711yescharacteristic
1336C4×C8C23×C6711yescharacteristic
1337C24—21no—
1338C24—21no—
1339#41—22no—
1340#41—22no—
1341#41—41no—
1342#41—41no—
1343#41—82no—
1344C2×Q8—21no—
1345C2×Q8—21no—
1346C2×Q8—21no—
1347C2×Q8—21no—
1348C2×Q8—22no—
1349C2×Q8—22no—
1350C2×Q8—41no—
1351C2×Q8—41no—
1352C2×Q8C2×D4×C6711yescharacteristic
1353C2×Q8C24×C6711yescharacteristic
1354C2×Q8C24×C6711yescharacteristic
1355C2×Q8C24×C6711yescharacteristic
1356C2×Q8C24×C6711yescharacteristic
1357C2×D4—22no—
1358C2×D4—22no—
1359C2×D4—21no—
1360C2×D4—21no—
1361C2×D4—21no—
1362C2×D4—21no—
1363C2×D4—21no—
1364C2×D4—21no—
1365C2×D4—21no—
1366C2×D4—21no—
1367C2×D4—21no—
1368C2×D4—21no—
1369C2×D4—21no—
1370C2×D4—21no—
1371C2×D4—41no—
1372C2×D4—41no—
1373C2×D4—82no—
1374C2×D4C2×D4×C6711yescharacteristic
1375C2×D4C2×D4×C6711yescharacteristic
1376C2×D4C2×D4×C6711yescharacteristic
1377C2×D4C24×C6711yescharacteristic
1378C2×D4C24×C6711yescharacteristic
1379C2×D4C24×C6711yescharacteristic
1380C2×D4C24×C6711yescharacteristic
1381C22×C4—21no—
1382C22×C4—21no—
1383C22×C4—21no—
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—21no—
1387C22×C4—21no—
1388C22×C4—21no—
1389C22×C4—21no—
1390C22×C4—21no—
1391C22×C4—21no—
1392C22×C4—21no—
1393C22×C4—21no—
1394C22×C4—21no—
1395C22×C4—21no—
1396C22×C4—21no—
1397C22×C4—21no—
1398C22×C4—21no—
1399C22×C4—82no—
1400C22×C4C2×D4×C6711yescharacteristic
1401C22×C4C2×D4×C6711yescharacteristic
1402C22×C4C24×C6711yescharacteristic
1403C22×C4C24×C6711yescharacteristic
1404C22×C4C24×C6711yescharacteristic
1405Q16—22no—
1406Q16—22no—
1407Q16—41no—
1408SD16—22no—
1409SD16—22no—
1410SD16—22no—
1411SD16—22no—
1412SD16—22no—
1413SD16—41no—
1414SD16—41no—
1415SD16—41no—
1416SD16—41no—
1417SD16#41×C6714yescomplemented
1418D8—22no—
1419D8—22no—
1420D8—41no—
1421M16—22no—
1422M16—22no—
1423C2×C8—22no—
1424C2×C8—41no—
1425C2×C8—41no—
1426C2×C8—41no—
1427C2×C8C24×C6711yescharacteristic
1428C2×C8C24×C6711yescharacteristic
1429C2×C8C24×C6711yescharacteristic
1430C2×C8C24×C6711yescharacteristic
1431C2×C8C24×C6711yescharacteristic
1432C2×C8C24×C6711yescharacteristic
1433C2×C8C24×C6711yescharacteristic
1434C2×C8C24×C6711yescharacteristic
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—21no—
1441C4⋊C4—21no—
1442C4⋊C4—21no—
1443C4⋊C4—21no—
1444C4⋊C4—21no—
1445C4⋊C4—21no—
1446C4⋊C4—21no—
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⋊C4C2×D4×C6711yescharacteristic
1468C4⋊C4C2×D4×C6711yescharacteristic
1469C4⋊C4C2×D4×C6711yescharacteristic
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⋊C4C24×C6711yescharacteristic
1478C4⋊C4C24×C6711yescharacteristic
1479C4⋊C4C24×C6711yescharacteristic
1480C4⋊C4C24×C6711yescharacteristic
1481C4⋊C4C24×C6711yescharacteristic
1482C4⋊C4C24×C6711yescharacteristic
1483C4⋊C4C24×C6711yescharacteristic
1484C4⋊C4C24×C6711yescharacteristic
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
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⋊C4C2×D4×C6711yescharacteristic
1518C22⋊C4C2×D4×C6711yescharacteristic
1519C22⋊C4C2×D4×C6711yescharacteristic
1520C22⋊C4C2×D4×C6711yescharacteristic
1521C22⋊C4C2×D4×C6711yescharacteristic
1522C22⋊C4C2×D4×C6711yescharacteristic
1523C22⋊C4C2×D4×C6711yescharacteristic
1524C22⋊C4C2×D4×C6711yescharacteristic
1525C22⋊C4C2×D4×C6711yescharacteristic
1526C22⋊C4C2×D4×C6711yescharacteristic
1527C42—21no—
1528C42—21no—
1529C42—21no—
1530C42—21no—
1531C42—21no—
1532C42—21no—
1533C42—21no—
1534C42—21no—
1535C42—21no—
1536C42—21no—
1537C42—21no—
1538C42—21no—
1539C42C2×D4×C6711yescharacteristic
1540C42C2×D4×C6711yescharacteristic
1541C42C24×C6711yescharacteristic
1542C42C24×C6711yescharacteristic
1543C42C24×C6711yescharacteristic
1544C42C24×C6711yescharacteristic
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—42no—
1550C23—42no—
1551C23—42no—
1552C23—81no—
1553C23—81no—
1554C23—81no—
1555C23C22×D4×C6711yescharacteristic
1556C23C22×D4×C6711yescharacteristic
1557C23C22×D4×C6711yescharacteristic
1558Q8—21no—
1559Q8—21no—
1560Q8—21no—
1561Q8—21no—
1562Q8—21no—
1563Q8—21no—
1564Q8—21no—
1565Q8—41no—
1566Q8—42no—
1567Q8—42no—
1568Q8—81no—
1569Q8—81no—
1570Q8C2×#41×C6712yes—
1571D4—22no—
1572D4—22no—
1573D4—21no—
1574D4—21no—
1575D4—21no—
1576D4—21no—
1577D4—21no—
1578D4—21no—
1579D4—21no—
1580D4—41no—
1581D4—42no—
1582D4—42no—
1583D4—42no—
1584D4—42no—
1585D4—42no—
1586D4—42no—
1587D4—81no—
1588D4—81no—
1589D4—81no—
1590D4—81no—
1591D4—81no—
1592D4—81no—
1593D4C2×#41×C6712yes—
1594C2×C4—22no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—41no—
1614C2×C4—42no—
1615C2×C4—42no—
1616C2×C4—42no—
1617C2×C4—42no—
1618C2×C4—42no—
1619C2×C4—81no—
1620C2×C4—81no—
1621C2×C4—81no—
1622C2×C4—81no—
1623C2×C4—81no—
1624C2×C4—81no—
1625C2×C4—81no—
1626C2×C4—81no—
1627C2×C4—81no—
1628C2×C4—81no—
1629C2×C4—81no—
1630C2×C4—81no—
1631C2×C4—81no—
1632C2×C4C22×D4×C6711yescharacteristic
1633C2×C4C22×D4×C6711yescharacteristic
1634C2×C4C22×D4×C6711yescharacteristic
1635C2×C4C22×D4×C6711yescharacteristic
1636C2×C4C22×D4×C6711yescharacteristic
1637C2×C4C22×D4×C6711yescharacteristic
1638C2×C4C22×D4×C6711yescharacteristic
1639C2×C4C22×D4×C6711yescharacteristic
1640C2×C4C22×D4×C6711yescharacteristic
1641C2×C4C22×D4×C6711yescharacteristic
1642C2×C4C22×D4×C6711yescharacteristic
1643C2×C4C25×C6711yescharacteristic
1644C8—21no—
1645C8—21no—
1646C8—21no—
1647C8—21no—
1648C8—21no—
1649C8—21no—
1650C8—21no—
1651C8C2×#41×C6712yes—
1652C22—21no—
1653C22—21no—
1654C22—21no—
1655C22—21no—
1656C22—21no—
1657C22—21no—
1658C22—21no—
1659C22—21no—
1660C22—22no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—84no—
1673C22—162no—
1674C22#577×C6712yes—
1675C22C23×D4×C6711yescharacteristic
1676C4—21no—
1677C4—21no—
1678C4—21no—
1679C4—21no—
1680C4—21no—
1681C4—21no—
1682C4—21no—
1683C4—21no—
1684C4—21no—
1685C4—21no—
1686C4—21no—
1687C4—22no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—41no—
1699C4C22×#41×C6711yescharacteristic
1700C4#585×C6711yescharacteristic
1701C2—22no—
1702C2—41no—
1703C2—41no—
1704C2—42no—
1705C2—81no—
1706C2—81no—
1707C2—81no—
1708C2D4×#41×C6711yescharacteristic
1709C2C2×#577×C6711yescharacteristic
1710C2C67×#358411yescharacteristic
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×#3516C2semidirect
2. C67×#3513C2semidirect
3. C67×#3401C2semidirect
4. C67×#3388C2semidirect
5. C67×#3365C2semidirect
6. C67×#3360C2semidirect
7. C67×#3351C2semidirect
8. C67×#3345C2semidirect
9. C67×#3344C2semidirect
10. C67×#3301C2semidirect
11. C67×#3300C2semidirect
12. C67×#3298C2semidirect
13. C67×#3297C2semidirect
14. C67×#3296C2semidirect
15. C67×#3295C2semidirect
16. C67×#3275C2semidirect
17. C67×#3266C2semidirect
18. C67×#3265C2semidirect
19. C67×#3179C2semidirect
20. C67×#3178C2semidirect
21. C67×#3168C2semidirect
22. C67×#3126C2semidirect
23. C67×#3125C2semidirect
24. C67×#3125C2semidirect
25. C67×#3123C2semidirect
26. C67×#3117C2semidirect
27. C67×#3114C2semidirect
28. C67×#2966C2semidirect
29. C67×#2947C2semidirect
30. C67×#2946C2semidirect
31. C2×C4×SD16×C67C2semidirect
36. #557×C67C22semidirect
38. #556×C67C22semidirect
45. #553×C67C22semidirect
48. #552×C67C22semidirect
51. D4×Q8×C67C22semidirect
53. #548×C67C22semidirect
61. #542×C67C22semidirect
63. #541×C67C22semidirect
71. #529×C67C22semidirect
75. #520×C67C22semidirect
76. #519×C67C22semidirect
78. C2×C4×Q8×C67C22semidirect
80. #501×C67C22semidirect
81. #501×C67C22semidirect
82. #499×C67C22semidirect
83. #497×C67C22semidirect
85. #495×C67C22semidirect
86. #488×C67C22semidirect
87. #488×C67C22semidirect
88. #488×C67C22semidirect
89. #488×C67C22semidirect
90. #487×C67C22semidirect
92. #485×C67C22semidirect
93. #485×C67C22semidirect
94. #484×C67C22semidirect
95. #483×C67C22semidirect
96. #483×C67C22semidirect
97. #483×C67C22semidirect
98. #482×C67C22semidirect
99. #482×C67C22semidirect
102. #481×C67C22semidirect
103. #480×C67C22semidirect
104. #479×C67C22semidirect
105. #479×C67C22semidirect
106. #479×C67C22semidirect
107. #479×C67C22semidirect
110. #478×C67C22semidirect
111. #478×C67C22semidirect
113. #476×C67C22semidirect
114. #475×C67C22semidirect
115. #475×C67C22semidirect
116. #470×C67C22semidirect
117. #469×C67C22semidirect
119. #468×C67C22semidirect
120. #467×C67C22semidirect
121. #467×C67C22semidirect
123. #466×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
137. #461×C67C22semidirect
141. #452×C67C22semidirect
142. #451×C67C22semidirect
149. #448×C67C22semidirect
150. #448×C67C22semidirect
152. #446×C67C22semidirect
153. C8×Q8×C67C22semidirect
155. #442×C67C22semidirect
156. #442×C67C22semidirect
157. #441×C67C22semidirect
158. #441×C67C22semidirect
159. #441×C67C22semidirect
163. #440×C67C22semidirect
164. #440×C67C22semidirect
165. #440×C67C22semidirect
166. C4×Q16×C67C22semidirect
167. C4×Q16×C67C22semidirect
173. C4×SD16×C67C22semidirect
174. C4×SD16×C67C22semidirect
175. C4×SD16×C67C22semidirect
176. C4×SD16×C67C22semidirect
177. C4×SD16×C67C22semidirect
178. C4×SD16×C67C22semidirect
179. C4×SD16×C67C22semidirect
181. C4×D8×C67C22semidirect
182. #436×C67C22semidirect
184. #435×C67C22semidirect
186. C8×D4×C67C22semidirect
187. C8×D4×C67C22semidirect
188. #433×C67C22semidirect
189. #433×C67C22semidirect
190. #432×C67C22semidirect
191. #428×C67C22semidirect
192. #428×C67C22semidirect
193. C2×#106×C67C22semidirect
195. #416×C67C22semidirect
196. C2×#103×C67C22semidirect
197. C2×#103×C67C22semidirect
200. #405×C67C22semidirect
201. #405×C67C22semidirect
202. C2×C4×C8×C67C22semidirect
561. SD16×C67#41semidirect
845. #61490C67direct (N × H)
856. #3516C2×C67semidirect
857. #3513C2×C67semidirect
858. #3401C2×C67semidirect
859. #3388C2×C67semidirect
860. #3365C2×C67semidirect
861. #3360C2×C67semidirect
862. #3351C2×C67semidirect
863. #3345C2×C67semidirect
864. #3344C2×C67semidirect
865. #3301C2×C67semidirect
866. #3300C2×C67semidirect
867. #3298C2×C67semidirect
868. #3297C2×C67semidirect
869. #3296C2×C67semidirect
870. #3295C2×C67semidirect
871. #3275C2×C67semidirect
872. #3266C2×C67semidirect
873. #3265C2×C67semidirect
874. #3179C2×C67semidirect
875. #3178C2×C67semidirect
876. #3168C2×C67semidirect
877. #3126C2×C67semidirect
878. #3125C2×C67semidirect
879. #3125C2×C67semidirect
880. #3123C2×C67semidirect
881. #3117C2×C67semidirect
882. #3114C2×C67semidirect
883. #2966C2×C67semidirect
884. #2947C2×C67semidirect
885. #2946C2×C67semidirect
886. C2×C4×SD16C2×C67semidirect
887. C67#61490direct (N × H)
892. #557C22×C67semidirect
894. #556C22×C67semidirect
901. #553C22×C67semidirect
904. #552C22×C67semidirect
907. D4×Q8C22×C67semidirect
909. #548C22×C67semidirect
917. #542C22×C67semidirect
919. #541C22×C67semidirect
927. #529C22×C67semidirect
931. #520C22×C67semidirect
932. #519C22×C67semidirect
934. C2×C4×Q8C22×C67semidirect
936. #501C22×C67semidirect
937. #501C22×C67semidirect
938. #499C22×C67semidirect
939. #497C22×C67semidirect
941. #495C22×C67semidirect
942. #488C22×C67semidirect
943. #488C22×C67semidirect
944. #488C22×C67semidirect
945. #488C22×C67semidirect
946. #487C22×C67semidirect
948. #485C22×C67semidirect
949. #485C22×C67semidirect
950. #484C22×C67semidirect
951. #483C22×C67semidirect
952. #483C22×C67semidirect
953. #483C22×C67semidirect
954. #482C22×C67semidirect
955. #482C22×C67semidirect
958. #481C22×C67semidirect
959. #480C22×C67semidirect
960. #479C22×C67semidirect
961. #479C22×C67semidirect
962. #479C22×C67semidirect
963. #479C22×C67semidirect
966. #478C22×C67semidirect
967. #478C22×C67semidirect
969. #476C22×C67semidirect
970. #475C22×C67semidirect
971. #475C22×C67semidirect
972. #470C22×C67semidirect
973. #469C22×C67semidirect
975. #468C22×C67semidirect
976. #467C22×C67semidirect
977. #467C22×C67semidirect
979. #466C22×C67semidirect
982. #465C22×C67semidirect
983. #465C22×C67semidirect
984. #464C22×C67semidirect
985. #464C22×C67semidirect
986. #464C22×C67semidirect
987. #464C22×C67semidirect
990. #463C22×C67semidirect
991. #463C22×C67semidirect
993. #461C22×C67semidirect
997. #452C22×C67semidirect
998. #451C22×C67semidirect
1005. #448C22×C67semidirect
1006. #448C22×C67semidirect
1008. #446C22×C67semidirect
1009. C8×Q8C22×C67semidirect
1011. #442C22×C67semidirect
1012. #442C22×C67semidirect
1013. #441C22×C67semidirect
1014. #441C22×C67semidirect
1015. #441C22×C67semidirect
1019. #440C22×C67semidirect
1020. #440C22×C67semidirect
1021. #440C22×C67semidirect
1022. C4×Q16C22×C67semidirect
1023. C4×Q16C22×C67semidirect
1029. C4×SD16C22×C67semidirect
1030. C4×SD16C22×C67semidirect
1031. C4×SD16C22×C67semidirect
1032. C4×SD16C22×C67semidirect
1033. C4×SD16C22×C67semidirect
1034. C4×SD16C22×C67semidirect
1035. C4×SD16C22×C67semidirect
1037. C4×D8C22×C67semidirect
1038. #436C22×C67semidirect
1040. #435C22×C67semidirect
1042. C8×D4C22×C67semidirect
1043. C8×D4C22×C67semidirect
1044. #433C22×C67semidirect
1045. #433C22×C67semidirect
1046. #432C22×C67semidirect
1047. #428C22×C67semidirect
1048. #428C22×C67semidirect
1049. C2×#106C22×C67semidirect
1051. #416C22×C67semidirect
1052. C2×#103C22×C67semidirect
1053. C2×#103C22×C67semidirect
1056. #405C22×C67semidirect
1057. #405C22×C67semidirect
1058. C2×C4×C8C22×C67semidirect
1417. SD16#41×C67semidirect

Maximal subgroups

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

subgroupindex
C67×#35162
C67×#35132
C67×#34012
C67×#33882
C67×#33652
C67×#33602
C67×#33512
C67×#33452
C67×#33442
C67×#33012
C67×#33002
C67×#32982
C67×#32972
C67×#32962
C67×#32952
C67×#32752
C67×#32662
C67×#32652
C67×#31792
C67×#31782
C67×#31682
C67×#31262
C67×#31252
C67×#31232
C67×#31172
C67×#31142
C67×#29662
C67×#29472
C67×#29462
C2×C4×SD16×C672
#6149067