Finite Group Databasebeta

← C67×#61769 #30741020

Subgroups — C67×#61769 #30741020

Order 17152.

1710 conjugacy classes of subgroups.

The subgroup lattice has 1702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C67×#3540C211yesmaximal, characteristic, complemented
2C67×#3493C211yesmaximal, characteristic, complemented
3C67×#3350C211yesmaximal, characteristic, complemented
4C67×#3349C211yesmaximal, characteristic, complemented
5C67×#3348C211yesmaximal, characteristic, complemented
6C67×#3347C211yesmaximal, characteristic, complemented
7C67×#3342C211yesmaximal, characteristic, complemented
8C67×#3341C211yesmaximal, characteristic, complemented
9C67×#3340C211yesmaximal, characteristic, complemented
10C67×#3340C211yesmaximal, characteristic, complemented
11C67×#3321C211yesmaximal, characteristic, complemented
12C67×#3319C211yesmaximal, characteristic, complemented
13C67×#3313C211yesmaximal, characteristic, complemented
14C67×#3311C211yesmaximal, characteristic, complemented
15C67×#3301C211yesmaximal, characteristic, complemented
16C67×#3300C211yesmaximal, characteristic, complemented
17C67×#3297C211yesmaximal, characteristic, complemented
18C67×#3296C211yesmaximal, characteristic, complemented
19C67×#3244C211yesmaximal, characteristic, complemented
20C67×#3243C211yesmaximal, characteristic, complemented
21C67×#3201C211yesmaximal, characteristic, complemented
22C67×#3198C211yesmaximal, characteristic, complemented
23C67×#3191C211yesmaximal, characteristic, complemented
24C67×#3191C211yesmaximal, characteristic, complemented
25C67×#3125C211yesmaximal, characteristic, complemented
26C67×#3124C211yesmaximal, characteristic, complemented
27C67×#3097C211yesmaximal, characteristic, complemented
28C67×#3096C211yesmaximal, characteristic, complemented
29C67×#3091C211yesmaximal, characteristic, complemented
30C67×#3091C211yesmaximal, characteristic, complemented
31C67×#2977C211yesmaximal, characteristic, complemented
32H(3,𝔽4)×C67—21no—
33#560×C67—21no—
34#559×C67—21no—
35#556×C67—21no—
36#556×C67C2211yescharacteristic
37#556×C67C2211yescharacteristic
38#556×C67C2211yescharacteristic
39#556×C67C2211yescharacteristic, complemented
40#555×C67—21no—
41#555×C67C2211yescharacteristic
42#555×C67C2211yescharacteristic
43#555×C67C2211yescharacteristic
44#555×C67C2211yescharacteristic, complemented
45#553×C67—21no—
46#553×C67C2211yescharacteristic
47#553×C67C2211yescharacteristic, complemented
48#552×C67—21no—
49#552×C67C2211yescharacteristic
50#552×C67C2211yescharacteristic, complemented
51#551×C67—21no—
52#548×C67C2211yescharacteristic
53#548×C67C2211yescharacteristic
54#546×C67C2211yescharacteristic
55#546×C67C2211yescharacteristic
56#544×C67C2211yescharacteristic, complemented
57#542×C67—21no—
58#542×C67—21no—
59#542×C67C2211yescharacteristic
60#542×C67C2211yescharacteristic
61#538×C67—21no—
62#538×C67—21no—
63#538×C67—21no—
64#538×C67—21no—
65#537×C67C2211yescharacteristic
66#536×C67C2211yescharacteristic
67#535×C67C2211yescharacteristic
68#529×C67—21no—
69#529×C67—21no—
70#525×C67C2211yescharacteristic
71#525×C67C2211yescharacteristic
72#525×C67C2211yescharacteristic
73#525×C67C2211yescharacteristic, complemented
74#520×C67C2211yescharacteristic
75#520×C67C2211yescharacteristic, complemented
76C2×#117×C67C2211yescharacteristic, complemented
77#501×C67C2211yescharacteristic, complemented
78#501×C67C2211yescharacteristic, complemented
79#500×C67C2211yescharacteristic, complemented
80#498×C67C2211yescharacteristic, complemented
81#489×C67C2211yescharacteristic, complemented
82#489×C67C2211yescharacteristic, complemented
83#488×C67C2211yescharacteristic, complemented
84#488×C67C2211yescharacteristic, complemented
85#485×C67C2211yescharacteristic, complemented
86#485×C67C2211yescharacteristic, complemented
87#485×C67C2211yescharacteristic, complemented
88#485×C67C2211yescharacteristic, complemented
89#485×C67C2211yescharacteristic, complemented
90#485×C67C2211yescharacteristic, complemented
91#485×C67C2211yescharacteristic, complemented
92#485×C67C2211yescharacteristic, complemented
93#485×C67C2211yescharacteristic, complemented
94#485×C67C2211yescharacteristic, complemented
95#485×C67C2211yescharacteristic, complemented
96#485×C67C2211yescharacteristic, complemented
97#484×C67C2211yescharacteristic, complemented
98#484×C67C2211yescharacteristic, complemented
99#484×C67C2211yescharacteristic, complemented
100#483×C67C2211yescharacteristic, complemented
101#483×C67C2211yescharacteristic, complemented
102#483×C67C2211yescharacteristic, complemented
103#482×C67C2211yescharacteristic
104#482×C67C2211yescharacteristic
105#482×C67C2211yescharacteristic
106#482×C67C2211yescharacteristic
107#482×C67C2211yescharacteristic
108#482×C67C2211yescharacteristic
109#482×C67C2211yescharacteristic, complemented
110#482×C67C2211yescharacteristic, complemented
111#482×C67C2211yescharacteristic, complemented
112#482×C67C2211yescharacteristic, complemented
113#482×C67C2211yescharacteristic, complemented
114#482×C67C2211yescharacteristic, complemented
115#481×C67C2211yescharacteristic
116#481×C67C2211yescharacteristic
117#481×C67C2211yescharacteristic, complemented
118#480×C67C2211yescharacteristic
119#480×C67C2211yescharacteristic
120#480×C67C2211yescharacteristic, complemented
121#479×C67C2211yescharacteristic, complemented
122#479×C67C2211yescharacteristic, complemented
123#478×C67C2211yescharacteristic, complemented
124#478×C67C2211yescharacteristic, complemented
125#477×C67C2211yescharacteristic, complemented
126#477×C67C2211yescharacteristic, complemented
127#476×C67C2211yescharacteristic, complemented
128#476×C67C2211yescharacteristic, complemented
129#475×C67C2211yescharacteristic, complemented
130#475×C67C2211yescharacteristic, complemented
131#474×C67C2211yescharacteristic, complemented
132#474×C67C2211yescharacteristic, complemented
133#470×C67C2211yescharacteristic, complemented
134#469×C67C2211yescharacteristic, complemented
135#468×C67C2211yescharacteristic, complemented
136#468×C67C2211yescharacteristic, complemented
137#467×C67C2211yescharacteristic, complemented
138#467×C67C2211yescharacteristic, complemented
139#467×C67C2211yescharacteristic, complemented
140#466×C67C2211yescharacteristic
141#466×C67C2211yescharacteristic
142#466×C67C2211yescharacteristic, complemented
143#465×C67C2211yescharacteristic
144#465×C67C2211yescharacteristic
145#465×C67C2211yescharacteristic, complemented
146#465×C67C2211yescharacteristic, complemented
147#465×C67C2211yescharacteristic, complemented
148#465×C67C2211yescharacteristic, complemented
149#464×C67C2211yescharacteristic, complemented
150#464×C67C2211yescharacteristic, complemented
151#463×C67C2211yescharacteristic, complemented
152#463×C67C2211yescharacteristic, complemented
153#452×C67C2211yescharacteristic
154#452×C67C2211yescharacteristic
155#452×C67C2211yescharacteristic, complemented
156#452×C67C2211yescharacteristic, complemented
157#451×C67C2211yescharacteristic, complemented
158#450×C67C2211yescharacteristic, complemented
159#449×C67C2211yescharacteristic
160#449×C67C2211yescharacteristic
161#449×C67C2211yescharacteristic
162#449×C67C2211yescharacteristic
163#448×C67C2211yescharacteristic, complemented
164#447×C67C2211yescharacteristic, complemented
165#442×C67C2211yescharacteristic, complemented
166#441×C67C2211yescharacteristic, complemented
167#440×C67C2211yescharacteristic, complemented
168#440×C67C2211yescharacteristic, complemented
169C4×Q16×C67C2211yescharacteristic, complemented
170C4×SD16×C67C2211yescharacteristic, complemented
171C4×SD16×C67C2211yescharacteristic, complemented
172C4×D8×C67C2211yescharacteristic, complemented
173#435×C67C2211yescharacteristic
174#435×C67C2211yescharacteristic
175#435×C67C2211yescharacteristic, complemented
176#435×C67C2211yescharacteristic, complemented
177C8×D4×C67C2211yescharacteristic
178C8×D4×C67C2211yescharacteristic
179C8×D4×C67C2211yescharacteristic, complemented
180C8×D4×C67C2211yescharacteristic, complemented
181#433×C67C2211yescharacteristic, complemented
182#433×C67C2211yescharacteristic, complemented
183#428×C67C2211yescharacteristic, complemented
184#428×C67C2211yescharacteristic, complemented
185#427×C67C2211yescharacteristic, complemented
186#427×C67C2211yescharacteristic, complemented
187#427×C67C2211yescharacteristic, complemented
188#427×C67C2211yescharacteristic, complemented
189#427×C67C2211yescharacteristic, complemented
190#427×C67C2211yescharacteristic, complemented
191#419×C67C2211yescharacteristic, complemented
192#418×C67C2211yescharacteristic, complemented
193#416×C67C2211yescharacteristic
194#416×C67C2211yescharacteristic
195#416×C67C2211yescharacteristic
196#416×C67C2211yescharacteristic
197C2×#103×C67C2211yescharacteristic, complemented
198C2×#102×C67C2211yescharacteristic, complemented
199#408×C67C2211yescharacteristic
200#408×C67C2211yescharacteristic
201C2×C22⋊C8×C67C2211yescharacteristic, complemented
202C2×C22⋊C8×C67C2211yescharacteristic, complemented
203C2×#41×C67C2311yescharacteristic
204C2×#41×C67C2311yescharacteristic
205C2×#41×C67C2311yescharacteristic
206C2×#41×C67C2311yescharacteristic
207C22×Q8×C67C2311yescharacteristic
208C22×D4×C67C2311yescharacteristic
209C23×C4×C67C2311yescharacteristic
210C2×Q16×C67C2311yescharacteristic
211C2×Q16×C67C2311yescharacteristic
212C2×SD16×C67C2311yescharacteristic
213C2×SD16×C67C2311yescharacteristic
214C2×SD16×C67C2311yescharacteristic
215C2×SD16×C67C2311yescharacteristic
216C2×D8×C67C2311yescharacteristic
217C2×D8×C67C2311yescharacteristic
218C2×M16×C67C2311yescharacteristic
219C2×M16×C67C2311yescharacteristic
220C22×C8×C67C2311yescharacteristic
221C22×C8×C67C2311yescharacteristic
222C22×C8×C67C2311yescharacteristic
223C22×C8×C67C2311yescharacteristic
224C22×C8×C67C2311yescharacteristic
225C22×C8×C67C2311yescharacteristic
226C4⋊Q8×C67—21no—
227C4⋊Q8×C67—21no—
228C4⋊Q8×C67C2311yescharacteristic
229C4⋊Q8×C67C2311yescharacteristic
230C4⋊Q8×C67C2311yescharacteristic
231C4⋊Q8×C67C2311yescharacteristic
232#127×C67—21no—
233#126×C67—21no—
234#126×C67—21no—
235#126×C67—21no—
236#126×C67—21no—
237#126×C67—21no—
238#126×C67—21no—
239#126×C67—21no—
240#126×C67—21no—
241#126×C67—21no—
242#126×C67—21no—
243#126×C67—21no—
244#126×C67—21no—
245#126×C67—21no—
246#126×C67—21no—
247#125×C67—21no—
248#125×C67—21no—
249#125×C67—21no—
250#125×C67C2311yescharacteristic
251#125×C67C2311yescharacteristic
252#124×C67—21no—
253#124×C67—21no—
254#124×C67—21no—
255#124×C67—21no—
256#124×C67—21no—
257#124×C67—21no—
258#124×C67—21no—
259#124×C67—21no—
260#124×C67—21no—
261#124×C67—21no—
262#124×C67—21no—
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×C67C2311yescharacteristic
271#124×C67C2311yescharacteristic
272#123×C67—21no—
273#123×C67—21no—
274#123×C67—21no—
275#123×C67—21no—
276#123×C67—21no—
277#123×C67—21no—
278#123×C67—21no—
279#123×C67—21no—
280#123×C67—21no—
281#123×C67—21no—
282#123×C67—21no—
283#123×C67—21no—
284#123×C67—21no—
285#123×C67D411yescharacteristic
286#123×C67D411yescharacteristic
287C22⋊Q8×C67—21no—
288C22⋊Q8×C67—21no—
289C22⋊Q8×C67—21no—
290C22⋊Q8×C67—21no—
291C22⋊Q8×C67—21no—
292C22⋊Q8×C67—21no—
293C22⋊Q8×C67—21no—
294C22⋊Q8×C67D411yescharacteristic
295C22⋊Q8×C67D411yescharacteristic
296C22⋊Q8×C67C2311yescharacteristic
297C22⋊Q8×C67C2311yescharacteristic
298C22⋊Q8×C67C2311yescharacteristic
299C22⋊Q8×C67C2311yescharacteristic
300C22⋊Q8×C67C2311yescharacteristic
301C22⋊Q8×C67C2311yescharacteristic
302C22⋊Q8×C67C2311yescharacteristic
303C22⋊Q8×C67C2311yescharacteristic
304C22⋊Q8×C67C2311yescharacteristic
305C22⋊Q8×C67C2311yescharacteristic
306#121×C67—21no—
307#121×C67—21no—
308#121×C67—21no—
309#121×C67—21no—
310#121×C67—21no—
311#121×C67—21no—
312#121×C67—21no—
313#121×C67—21no—
314#121×C67—21no—
315#121×C67—21no—
316#121×C67—21no—
317#121×C67—21no—
318#121×C67—21no—
319#121×C67D411yescharacteristic
320#121×C67D411yescharacteristic
321#121×C67C2311yescharacteristic
322#121×C67C2311yescharacteristic
323#121×C67C2311yescharacteristic
324#121×C67C2311yescharacteristic
325#121×C67C2311yescharacteristic
326#121×C67C2311yescharacteristic
327#121×C67C2311yescharacteristic
328#121×C67C2311yescharacteristic
329#121×C67C2311yescharacteristic
330#121×C67C2311yescharacteristic
331#120×C67—21no—
332#120×C67—21no—
333#120×C67—21no—
334#120×C67—21no—
335#120×C67—21no—
336#120×C67—21no—
337#120×C67—21no—
338#120×C67D411yescharacteristic
339#120×C67D411yescharacteristic
340C4×Q8×C67—21no—
341C4×Q8×C67—21no—
342C4×Q8×C67—21no—
343C4×Q8×C67—21no—
344C4×Q8×C67—21no—
345C4×Q8×C67C2311yescharacteristic
346C4×Q8×C67C2311yescharacteristic
347C4×Q8×C67C2311yescharacteristic
348C4×Q8×C67C2311yescharacteristic
349C4×D4×C67—21no—
350C4×D4×C67—21no—
351C4×D4×C67—21no—
352C4×D4×C67—21no—
353C4×D4×C67—21no—
354C4×D4×C67—21no—
355C4×D4×C67—21no—
356C4×D4×C67—21no—
357C4×D4×C67—21no—
358C4×D4×C67—21no—
359C4×D4×C67—21no—
360C4×D4×C67—21no—
361C4×D4×C67—21no—
362C4×D4×C67—21no—
363C4×D4×C67—21no—
364C4×D4×C67C2311yescharacteristic
365C4×D4×C67C2311yescharacteristic
366C4×D4×C67C2311yescharacteristic
367C4×D4×C67C2311yescharacteristic
368C4×D4×C67C2311yescharacteristic
369C4×D4×C67C2311yescharacteristic
370C4×D4×C67C2311yescharacteristic
371C4×D4×C67C2311yescharacteristic
372#117×C67—21no—
373#117×C67—21no—
374#117×C67—21no—
375#117×C67—21no—
376#117×C67—21no—
377#117×C67—21no—
378#117×C67—21no—
379#117×C67—21no—
380#117×C67—21no—
381#117×C67C2311yescharacteristic
382#117×C67C2311yescharacteristic
383#117×C67C2311yescharacteristic
384#117×C67C2311yescharacteristic
385#117×C67C2311yescharacteristic
386#117×C67C2311yescharacteristic
387#117×C67C2311yescharacteristic
388#117×C67C2311yescharacteristic
389#117×C67C2311yescharacteristic
390#117×C67C2311yescharacteristic
391#117×C67C2311yescharacteristic
392#117×C67C2311yescharacteristic
393C2×C4⋊C4×C67—21no—
394C2×C4⋊C4×C67C2311yescharacteristic
395C2×C4⋊C4×C67C2311yescharacteristic
396C2×C4⋊C4×C67C2311yescharacteristic
397C2×C4⋊C4×C67C2311yescharacteristic
398C2×C22⋊C4×C67—21no—
399C2×C22⋊C4×C67—21no—
400C2×C22⋊C4×C67—21no—
401C2×C42×C67—21no—
402#107×C67C2311yescharacteristic
403#107×C67C2311yescharacteristic
404#107×C67C2311yescharacteristic
405#107×C67C2311yescharacteristic
406#107×C67C2311yescharacteristic
407#107×C67C2311yescharacteristic
408#107×C67C2311yescharacteristic
409#107×C67C2311yescharacteristic
410#107×C67C2311yescharacteristic
411#107×C67C2311yescharacteristic
412#107×C67C2311yescharacteristic
413#107×C67C2311yescharacteristic
414#106×C67C2311yescharacteristic
415#106×C67C2311yescharacteristic
416#106×C67C2311yescharacteristic
417#106×C67C2311yescharacteristic
418#106×C67C2311yescharacteristic
419#106×C67C2311yescharacteristic
420#106×C67C2311yescharacteristic
421#106×C67C2311yescharacteristic
422#106×C67C2311yescharacteristic
423#106×C67C2311yescharacteristic
424#106×C67C2311yescharacteristic
425#106×C67C2311yescharacteristic
426C4⋊C8×C67C2311yescharacteristic
427C4⋊C8×C67C2311yescharacteristic
428C4⋊C8×C67C2311yescharacteristic
429C4⋊C8×C67C2311yescharacteristic
430#103×C67C2311yescharacteristic
431#103×C67C2311yescharacteristic
432#103×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#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
462C22⋊C8×C67C2311yescharacteristic
463C22⋊C8×C67C2311yescharacteristic
464C22⋊C8×C67C2311yescharacteristic
465C22⋊C8×C67C2311yescharacteristic
466C22⋊C8×C67C2311yescharacteristic
467C22⋊C8×C67C2311yescharacteristic
468C22⋊C8×C67C2311yescharacteristic
469C22⋊C8×C67C2311yescharacteristic
470C22⋊C8×C67C2311yescharacteristic
471C22⋊C8×C67C2311yescharacteristic
472C22⋊C8×C67C2311yescharacteristic
473C22⋊C8×C67C2311yescharacteristic
474#97×C67C2311yescharacteristic
475#97×C67C2311yescharacteristic
476C4×C8×C67C2311yescharacteristic
477C4×C8×C67C2311yescharacteristic
478C24×C67—21no—
479C24×C67C2×D411yescharacteristic
480#41×C67—41no—
481#41×C67—41no—
482#41×C67—41no—
483#41×C67—41no—
484#41×C67—41no—
485#41×C67—41no—
486#41×C67—41no—
487#41×C67—41no—
488C2×Q8×C67—21no—
489C2×Q8×C67—21no—
490C2×Q8×C67—21no—
491C2×Q8×C67—21no—
492C2×Q8×C67—21no—
493C2×Q8×C67—41no—
494C2×Q8×C67—41no—
495C2×Q8×C67C2×D411yescharacteristic
496C2×Q8×C67C2411yescharacteristic
497C2×Q8×C67C2411yescharacteristic
498C2×Q8×C67C2411yescharacteristic
499C2×D4×C67—21no—
500C2×D4×C67—21no—
501C2×D4×C67—21no—
502C2×D4×C67—21no—
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—41no—
514C2×D4×C67—41no—
515C2×D4×C67C2×D411yescharacteristic
516C2×D4×C67C2×D411yescharacteristic
517C2×D4×C67C2×D411yescharacteristic
518C2×D4×C67C2×D411yescharacteristic
519C2×D4×C67C2×D411yescharacteristic
520C2×D4×C67C2×D411yescharacteristic
521C2×D4×C67C2×D411yescharacteristic
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—41no—
538C22×C4×C67—41no—
539C22×C4×C67C2×D411yescharacteristic
540C22×C4×C67C2×D411yescharacteristic
541C22×C4×C67C2×D411yescharacteristic
542C22×C4×C67C2411yescharacteristic
543C22×C4×C67C2411yescharacteristic
544C22×C4×C67C2411yescharacteristic
545C22×C4×C67C2411yescharacteristic
546C22×C4×C67C2411yescharacteristic
547Q16×C67—41no—
548Q16×C67—41no—
549SD16×C67—41no—
550SD16×C67—41no—
551SD16×C67—41no—
552SD16×C67—41no—
553D8×C67—41no—
554D8×C67—41no—
555M16×C67—41no—
556M16×C67—41no—
557C2×C8×C67—41no—
558C2×C8×C67—41no—
559C2×C8×C67—41no—
560C2×C8×C67—41no—
561C2×C8×C67—41no—
562C2×C8×C67—41no—
563C2×C8×C67C2411yescharacteristic
564C2×C8×C67C2411yescharacteristic
565C2×C8×C67C2411yescharacteristic
566C2×C8×C67C2411yescharacteristic
567C2×C8×C67C2411yescharacteristic
568C2×C8×C67C2411yescharacteristic
569C2×C8×C67C2411yescharacteristic
570C2×C8×C67C2411yescharacteristic
571C4⋊C4×C67—21no—
572C4⋊C4×C67—21no—
573C4⋊C4×C67—21no—
574C4⋊C4×C67—21no—
575C4⋊C4×C67—21no—
576C4⋊C4×C67—21no—
577C4⋊C4×C67—21no—
578C4⋊C4×C67—21no—
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×C67C2×D411yescharacteristic
598C4⋊C4×C67C2×D411yescharacteristic
599C4⋊C4×C67C2×D411yescharacteristic
600C4⋊C4×C67C2×D411yescharacteristic
601C4⋊C4×C67C2×D411yescharacteristic
602C4⋊C4×C67C2×D411yescharacteristic
603C4⋊C4×C67C2411yescharacteristic
604C4⋊C4×C67C2411yescharacteristic
605C4⋊C4×C67C2411yescharacteristic
606C4⋊C4×C67C2411yescharacteristic
607C4⋊C4×C67C2411yescharacteristic
608C4⋊C4×C67C2411yescharacteristic
609C4⋊C4×C67C2411yescharacteristic
610C4⋊C4×C67C2411yescharacteristic
611C4⋊C4×C67C2411yescharacteristic
612C4⋊C4×C67C2411yescharacteristic
613C22⋊C4×C67—21no—
614C22⋊C4×C67—21no—
615C22⋊C4×C67—21no—
616C22⋊C4×C67—21no—
617C22⋊C4×C67—21no—
618C22⋊C4×C67—21no—
619C22⋊C4×C67—21no—
620C22⋊C4×C67—21no—
621C22⋊C4×C67—21no—
622C22⋊C4×C67—21no—
623C22⋊C4×C67—21no—
624C22⋊C4×C67—21no—
625C22⋊C4×C67—21no—
626C22⋊C4×C67—21no—
627C22⋊C4×C67—21no—
628C22⋊C4×C67—21no—
629C22⋊C4×C67—21no—
630C22⋊C4×C67—21no—
631C22⋊C4×C67—21no—
632C22⋊C4×C67—21no—
633C22⋊C4×C67—21no—
634C22⋊C4×C67—21no—
635C22⋊C4×C67—21no—
636C22⋊C4×C67—21no—
637C22⋊C4×C67—21no—
638C22⋊C4×C67—21no—
639C22⋊C4×C67—21no—
640C22⋊C4×C67—21no—
641C22⋊C4×C67—21no—
642C22⋊C4×C67—21no—
643C22⋊C4×C67—21no—
644C22⋊C4×C67—21no—
645C22⋊C4×C67—21no—
646C22⋊C4×C67—21no—
647C22⋊C4×C67—21no—
648C22⋊C4×C67—21no—
649C22⋊C4×C67—21no—
650C22⋊C4×C67—21no—
651C22⋊C4×C67—21no—
652C22⋊C4×C67C2×D411yescharacteristic
653C22⋊C4×C67C2×D411yescharacteristic
654C22⋊C4×C67C2×D411yescharacteristic
655C22⋊C4×C67C2×D411yescharacteristic
656C22⋊C4×C67C2×D411yescharacteristic
657C22⋊C4×C67C2×D411yescharacteristic
658C22⋊C4×C67C2×D411yescharacteristic
659C22⋊C4×C67C2×D411yescharacteristic
660C22⋊C4×C67C2×D411yescharacteristic
661C22⋊C4×C67C2×D411yescharacteristic
662C42×C67—21no—
663C42×C67—21no—
664C42×C67—21no—
665C42×C67—21no—
666C42×C67—21no—
667C42×C67—21no—
668C42×C67—21no—
669C42×C67—21no—
670C42×C67—21no—
671C42×C67—21no—
672C42×C67—21no—
673C42×C67—21no—
674C42×C67—21no—
675C42×C67—21no—
676C42×C67—21no—
677C42×C67C2411yescharacteristic
678C42×C67C2411yescharacteristic
679C23×C67—21no—
680C23×C67—21no—
681C23×C67—21no—
682C23×C67—41no—
683C23×C67—41no—
684C23×C67—41no—
685C23×C67—81no—
686C23×C67—81no—
687C23×C67—81no—
688C23×C67C22×D411yescharacteristic
689C23×C67C22×D411yescharacteristic
690C23×C67C22×D411yescharacteristic
691C23×C67C22×D411yescharacteristic
692C23×C67C22×D411yescharacteristic
693Q8×C67—21no—
694Q8×C67—21no—
695Q8×C67—21no—
696Q8×C67—21no—
697Q8×C67—21no—
698Q8×C67—21no—
699Q8×C67—41no—
700Q8×C67—81no—
701Q8×C67—81no—
702Q8×C67—81no—
703Q8×C67—81no—
704Q8×C67—81no—
705D4×C67—21no—
706D4×C67—21no—
707D4×C67—21no—
708D4×C67—21no—
709D4×C67—21no—
710D4×C67—21no—
711D4×C67—41no—
712D4×C67—41no—
713D4×C67—41no—
714D4×C67—41no—
715D4×C67—41no—
716D4×C67—41no—
717D4×C67—41no—
718D4×C67—42no—
719D4×C67—81no—
720D4×C67—81no—
721D4×C67—81no—
722D4×C67—81no—
723D4×C67—81no—
724D4×C67—81no—
725D4×C67—81no—
726D4×C67—81no—
727D4×C67—81no—
728D4×C67—81no—
729D4×C67—81no—
730D4×C67—81no—
731D4×C67—81no—
732C2×C4×C67—21no—
733C2×C4×C67—21no—
734C2×C4×C67—21no—
735C2×C4×C67—21no—
736C2×C4×C67—21no—
737C2×C4×C67—21no—
738C2×C4×C67—21no—
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—41no—
756C2×C4×C67—41no—
757C2×C4×C67—41no—
758C2×C4×C67—42no—
759C2×C4×C67—81no—
760C2×C4×C67—81no—
761C2×C4×C67—81no—
762C2×C4×C67—81no—
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×C67C22×D411yescharacteristic
771C2×C4×C67C22×D411yescharacteristic
772C2×C4×C67C22×D411yescharacteristic
773C2×C4×C67C22×D411yescharacteristic
774C2×C4×C67C22×D411yescharacteristic
775C2×C4×C67C22×D411yescharacteristic
776C2×C4×C67C22×D411yescharacteristic
777C2×C4×C67C22×D411yescharacteristic
778C2×C4×C67C22×D411yescharacteristic
779C2×C4×C67C2511yescharacteristic
780C8×C67—21no—
781C8×C67—21no—
782C8×C67—21no—
783C8×C67—21no—
784C8×C67—21no—
785C8×C67—21no—
786C8×C67—21no—
787C8×C67—21no—
788C22×C67—21no—
789C22×C67—21no—
790C22×C67—21no—
791C22×C67—21no—
792C22×C67—21no—
793C22×C67—21no—
794C22×C67—21no—
795C22×C67—21no—
796C22×C67—21no—
797C22×C67—21no—
798C22×C67—21no—
799C22×C67—21no—
800C22×C67—21no—
801C22×C67—21no—
802C22×C67—21no—
803C22×C67—41no—
804C22×C67—41no—
805C22×C67—41no—
806C22×C67—41no—
807C22×C67—41no—
808C22×C67—41no—
809C22×C67—41no—
810C22×C67—41no—
811C22×C67—41no—
812C22×C67—82no—
813C22×C67—162no—
814C22×C67C23×D411yescharacteristic
815C4×C67—21no—
816C4×C67—21no—
817C4×C67—21no—
818C4×C67—21no—
819C4×C67—21no—
820C4×C67—21no—
821C4×C67—21no—
822C4×C67—21no—
823C4×C67—21no—
824C4×C67—41no—
825C4×C67—41no—
826C4×C67—41no—
827C4×C67—41no—
828C4×C67—41no—
829C4×C67—41no—
830C4×C67—41no—
831C4×C67—41no—
832C4×C67—41no—
833C4×C67—41no—
834C4×C67—41no—
835C4×C67—41no—
836C4×C67—41no—
837C4×C67#58511yescharacteristic
838C4×C67#58511yescharacteristic
839#61769C6711yesmaximal, characteristic, direct product factor, Sylow
840C2×C67—41no—
841C2×C67—41no—
842C2×C67—41no—
843C2×C67—41no—
844C2×C67—41no—
845C2×C67—81no—
846C2×C67—81no—
847C2×C67—81no—
848C2×C67#348511yescharacteristic
849C2×C67#358411yescharacteristic
850C2×C67#358411yescharacteristic
851#3540C2×C6711yescharacteristic, complemented
852#3493C2×C6711yescharacteristic, complemented
853#3350C2×C6711yescharacteristic, complemented
854#3349C2×C6711yescharacteristic, complemented
855#3348C2×C6711yescharacteristic, complemented
856#3347C2×C6711yescharacteristic, complemented
857#3342C2×C6711yescharacteristic, complemented
858#3341C2×C6711yescharacteristic, complemented
859#3340C2×C6711yescharacteristic, complemented
860#3340C2×C6711yescharacteristic, complemented
861#3321C2×C6711yescharacteristic, complemented
862#3319C2×C6711yescharacteristic, complemented
863#3313C2×C6711yescharacteristic, complemented
864#3311C2×C6711yescharacteristic, complemented
865#3301C2×C6711yescharacteristic, complemented
866#3300C2×C6711yescharacteristic, complemented
867#3297C2×C6711yescharacteristic, complemented
868#3296C2×C6711yescharacteristic, complemented
869#3244C2×C6711yescharacteristic, complemented
870#3243C2×C6711yescharacteristic, complemented
871#3201C2×C6711yescharacteristic, complemented
872#3198C2×C6711yescharacteristic, complemented
873#3191C2×C6711yescharacteristic, complemented
874#3191C2×C6711yescharacteristic, complemented
875#3125C2×C6711yescharacteristic, complemented
876#3124C2×C6711yescharacteristic, complemented
877#3097C2×C6711yescharacteristic, complemented
878#3096C2×C6711yescharacteristic, complemented
879#3091C2×C6711yescharacteristic, complemented
880#3091C2×C6711yescharacteristic, complemented
881#2977C2×C6711yescharacteristic, complemented
882C67#6176911yescharacteristic, direct product factor, Sylow
883H(3,𝔽4)—21no—
884#560—21no—
885#559—21no—
886#556—21no—
887#556C22×C6711yescharacteristic
888#556C22×C6711yescharacteristic
889#556C22×C6711yescharacteristic
890#556C22×C6711yescharacteristic, complemented
891#555—21no—
892#555C22×C6711yescharacteristic
893#555C22×C6711yescharacteristic
894#555C22×C6711yescharacteristic
895#555C22×C6711yescharacteristic, complemented
896#553—21no—
897#553C22×C6711yescharacteristic
898#553C22×C6711yescharacteristic, complemented
899#552—21no—
900#552C22×C6711yescharacteristic
901#552C22×C6711yescharacteristic, complemented
902#551—21no—
903#548C22×C6711yescharacteristic
904#548C22×C6711yescharacteristic
905#546C22×C6711yescharacteristic
906#546C22×C6711yescharacteristic
907#544C22×C6711yescharacteristic, complemented
908#542—21no—
909#542—21no—
910#542C22×C6711yescharacteristic
911#542C22×C6711yescharacteristic
912#538—21no—
913#538—21no—
914#538—21no—
915#538—21no—
916#537C22×C6711yescharacteristic
917#536C22×C6711yescharacteristic
918#535C22×C6711yescharacteristic
919#529—21no—
920#529—21no—
921#525C22×C6711yescharacteristic
922#525C22×C6711yescharacteristic
923#525C22×C6711yescharacteristic
924#525C22×C6711yescharacteristic, complemented
925#520C22×C6711yescharacteristic
926#520C22×C6711yescharacteristic, complemented
927C2×#117C22×C6711yescharacteristic, complemented
928#501C22×C6711yescharacteristic, complemented
929#501C22×C6711yescharacteristic, complemented
930#500C22×C6711yescharacteristic, complemented
931#498C22×C6711yescharacteristic, complemented
932#489C22×C6711yescharacteristic, complemented
933#489C22×C6711yescharacteristic, complemented
934#488C22×C6711yescharacteristic, complemented
935#488C22×C6711yescharacteristic, complemented
936#485C22×C6711yescharacteristic, complemented
937#485C22×C6711yescharacteristic, complemented
938#485C22×C6711yescharacteristic, complemented
939#485C22×C6711yescharacteristic, complemented
940#485C22×C6711yescharacteristic, complemented
941#485C22×C6711yescharacteristic, complemented
942#485C22×C6711yescharacteristic, complemented
943#485C22×C6711yescharacteristic, complemented
944#485C22×C6711yescharacteristic, complemented
945#485C22×C6711yescharacteristic, complemented
946#485C22×C6711yescharacteristic, complemented
947#485C22×C6711yescharacteristic, complemented
948#484C22×C6711yescharacteristic, complemented
949#484C22×C6711yescharacteristic, complemented
950#484C22×C6711yescharacteristic, complemented
951#483C22×C6711yescharacteristic, complemented
952#483C22×C6711yescharacteristic, complemented
953#483C22×C6711yescharacteristic, complemented
954#482C22×C6711yescharacteristic
955#482C22×C6711yescharacteristic
956#482C22×C6711yescharacteristic
957#482C22×C6711yescharacteristic
958#482C22×C6711yescharacteristic
959#482C22×C6711yescharacteristic
960#482C22×C6711yescharacteristic, complemented
961#482C22×C6711yescharacteristic, complemented
962#482C22×C6711yescharacteristic, complemented
963#482C22×C6711yescharacteristic, complemented
964#482C22×C6711yescharacteristic, complemented
965#482C22×C6711yescharacteristic, complemented
966#481C22×C6711yescharacteristic
967#481C22×C6711yescharacteristic
968#481C22×C6711yescharacteristic, complemented
969#480C22×C6711yescharacteristic
970#480C22×C6711yescharacteristic
971#480C22×C6711yescharacteristic, complemented
972#479C22×C6711yescharacteristic, complemented
973#479C22×C6711yescharacteristic, complemented
974#478C22×C6711yescharacteristic, complemented
975#478C22×C6711yescharacteristic, complemented
976#477C22×C6711yescharacteristic, complemented
977#477C22×C6711yescharacteristic, complemented
978#476C22×C6711yescharacteristic, complemented
979#476C22×C6711yescharacteristic, complemented
980#475C22×C6711yescharacteristic, complemented
981#475C22×C6711yescharacteristic, complemented
982#474C22×C6711yescharacteristic, complemented
983#474C22×C6711yescharacteristic, complemented
984#470C22×C6711yescharacteristic, complemented
985#469C22×C6711yescharacteristic, complemented
986#468C22×C6711yescharacteristic, complemented
987#468C22×C6711yescharacteristic, complemented
988#467C22×C6711yescharacteristic, complemented
989#467C22×C6711yescharacteristic, complemented
990#467C22×C6711yescharacteristic, complemented
991#466C22×C6711yescharacteristic
992#466C22×C6711yescharacteristic
993#466C22×C6711yescharacteristic, complemented
994#465C22×C6711yescharacteristic
995#465C22×C6711yescharacteristic
996#465C22×C6711yescharacteristic, complemented
997#465C22×C6711yescharacteristic, complemented
998#465C22×C6711yescharacteristic, complemented
999#465C22×C6711yescharacteristic, complemented
1000#464C22×C6711yescharacteristic, complemented
1001#464C22×C6711yescharacteristic, complemented
1002#463C22×C6711yescharacteristic, complemented
1003#463C22×C6711yescharacteristic, complemented
1004#452C22×C6711yescharacteristic
1005#452C22×C6711yescharacteristic
1006#452C22×C6711yescharacteristic, complemented
1007#452C22×C6711yescharacteristic, complemented
1008#451C22×C6711yescharacteristic, complemented
1009#450C22×C6711yescharacteristic, complemented
1010#449C22×C6711yescharacteristic
1011#449C22×C6711yescharacteristic
1012#449C22×C6711yescharacteristic
1013#449C22×C6711yescharacteristic
1014#448C22×C6711yescharacteristic, complemented
1015#447C22×C6711yescharacteristic, complemented
1016#442C22×C6711yescharacteristic, complemented
1017#441C22×C6711yescharacteristic, complemented
1018#440C22×C6711yescharacteristic, complemented
1019#440C22×C6711yescharacteristic, complemented
1020C4×Q16C22×C6711yescharacteristic, complemented
1021C4×SD16C22×C6711yescharacteristic, complemented
1022C4×SD16C22×C6711yescharacteristic, complemented
1023C4×D8C22×C6711yescharacteristic, complemented
1024#435C22×C6711yescharacteristic
1025#435C22×C6711yescharacteristic
1026#435C22×C6711yescharacteristic, complemented
1027#435C22×C6711yescharacteristic, complemented
1028C8×D4C22×C6711yescharacteristic
1029C8×D4C22×C6711yescharacteristic
1030C8×D4C22×C6711yescharacteristic, complemented
1031C8×D4C22×C6711yescharacteristic, complemented
1032#433C22×C6711yescharacteristic, complemented
1033#433C22×C6711yescharacteristic, complemented
1034#428C22×C6711yescharacteristic, complemented
1035#428C22×C6711yescharacteristic, complemented
1036#427C22×C6711yescharacteristic, complemented
1037#427C22×C6711yescharacteristic, complemented
1038#427C22×C6711yescharacteristic, complemented
1039#427C22×C6711yescharacteristic, complemented
1040#427C22×C6711yescharacteristic, complemented
1041#427C22×C6711yescharacteristic, complemented
1042#419C22×C6711yescharacteristic, complemented
1043#418C22×C6711yescharacteristic, complemented
1044#416C22×C6711yescharacteristic
1045#416C22×C6711yescharacteristic
1046#416C22×C6711yescharacteristic
1047#416C22×C6711yescharacteristic
1048C2×#103C22×C6711yescharacteristic, complemented
1049C2×#102C22×C6711yescharacteristic, complemented
1050#408C22×C6711yescharacteristic
1051#408C22×C6711yescharacteristic
1052C2×C22⋊C8C22×C6711yescharacteristic, complemented
1053C2×C22⋊C8C22×C6711yescharacteristic, complemented
1054C2×#41C23×C6711yescharacteristic
1055C2×#41C23×C6711yescharacteristic
1056C2×#41C23×C6711yescharacteristic
1057C2×#41C23×C6711yescharacteristic
1058C22×Q8C23×C6711yescharacteristic
1059C22×D4C23×C6711yescharacteristic
1060C23×C4C23×C6711yescharacteristic
1061C2×Q16C23×C6711yescharacteristic
1062C2×Q16C23×C6711yescharacteristic
1063C2×SD16C23×C6711yescharacteristic
1064C2×SD16C23×C6711yescharacteristic
1065C2×SD16C23×C6711yescharacteristic
1066C2×SD16C23×C6711yescharacteristic
1067C2×D8C23×C6711yescharacteristic
1068C2×D8C23×C6711yescharacteristic
1069C2×M16C23×C6711yescharacteristic
1070C2×M16C23×C6711yescharacteristic
1071C22×C8C23×C6711yescharacteristic
1072C22×C8C23×C6711yescharacteristic
1073C22×C8C23×C6711yescharacteristic
1074C22×C8C23×C6711yescharacteristic
1075C22×C8C23×C6711yescharacteristic
1076C22×C8C23×C6711yescharacteristic
1077C4⋊Q8—21no—
1078C4⋊Q8—21no—
1079C4⋊Q8C23×C6711yescharacteristic
1080C4⋊Q8C23×C6711yescharacteristic
1081C4⋊Q8C23×C6711yescharacteristic
1082C4⋊Q8C23×C6711yescharacteristic
1083#127—21no—
1084#126—21no—
1085#126—21no—
1086#126—21no—
1087#126—21no—
1088#126—21no—
1089#126—21no—
1090#126—21no—
1091#126—21no—
1092#126—21no—
1093#126—21no—
1094#126—21no—
1095#126—21no—
1096#126—21no—
1097#126—21no—
1098#125—21no—
1099#125—21no—
1100#125—21no—
1101#125C23×C6711yescharacteristic
1102#125C23×C6711yescharacteristic
1103#124—21no—
1104#124—21no—
1105#124—21no—
1106#124—21no—
1107#124—21no—
1108#124—21no—
1109#124—21no—
1110#124—21no—
1111#124—21no—
1112#124—21no—
1113#124—21no—
1114#124—21no—
1115#124—21no—
1116#124—21no—
1117#124—21no—
1118#124—21no—
1119#124—21no—
1120#124—21no—
1121#124C23×C6711yescharacteristic
1122#124C23×C6711yescharacteristic
1123#123—21no—
1124#123—21no—
1125#123—21no—
1126#123—21no—
1127#123—21no—
1128#123—21no—
1129#123—21no—
1130#123—21no—
1131#123—21no—
1132#123—21no—
1133#123—21no—
1134#123—21no—
1135#123—21no—
1136#123D4×C6711yescharacteristic
1137#123D4×C6711yescharacteristic
1138C22⋊Q8—21no—
1139C22⋊Q8—21no—
1140C22⋊Q8—21no—
1141C22⋊Q8—21no—
1142C22⋊Q8—21no—
1143C22⋊Q8—21no—
1144C22⋊Q8—21no—
1145C22⋊Q8D4×C6711yescharacteristic
1146C22⋊Q8D4×C6711yescharacteristic
1147C22⋊Q8C23×C6711yescharacteristic
1148C22⋊Q8C23×C6711yescharacteristic
1149C22⋊Q8C23×C6711yescharacteristic
1150C22⋊Q8C23×C6711yescharacteristic
1151C22⋊Q8C23×C6711yescharacteristic
1152C22⋊Q8C23×C6711yescharacteristic
1153C22⋊Q8C23×C6711yescharacteristic
1154C22⋊Q8C23×C6711yescharacteristic
1155C22⋊Q8C23×C6711yescharacteristic
1156C22⋊Q8C23×C6711yescharacteristic
1157#121—21no—
1158#121—21no—
1159#121—21no—
1160#121—21no—
1161#121—21no—
1162#121—21no—
1163#121—21no—
1164#121—21no—
1165#121—21no—
1166#121—21no—
1167#121—21no—
1168#121—21no—
1169#121—21no—
1170#121D4×C6711yescharacteristic
1171#121D4×C6711yescharacteristic
1172#121C23×C6711yescharacteristic
1173#121C23×C6711yescharacteristic
1174#121C23×C6711yescharacteristic
1175#121C23×C6711yescharacteristic
1176#121C23×C6711yescharacteristic
1177#121C23×C6711yescharacteristic
1178#121C23×C6711yescharacteristic
1179#121C23×C6711yescharacteristic
1180#121C23×C6711yescharacteristic
1181#121C23×C6711yescharacteristic
1182#120—21no—
1183#120—21no—
1184#120—21no—
1185#120—21no—
1186#120—21no—
1187#120—21no—
1188#120—21no—
1189#120D4×C6711yescharacteristic
1190#120D4×C6711yescharacteristic
1191C4×Q8—21no—
1192C4×Q8—21no—
1193C4×Q8—21no—
1194C4×Q8—21no—
1195C4×Q8—21no—
1196C4×Q8C23×C6711yescharacteristic
1197C4×Q8C23×C6711yescharacteristic
1198C4×Q8C23×C6711yescharacteristic
1199C4×Q8C23×C6711yescharacteristic
1200C4×D4—21no—
1201C4×D4—21no—
1202C4×D4—21no—
1203C4×D4—21no—
1204C4×D4—21no—
1205C4×D4—21no—
1206C4×D4—21no—
1207C4×D4—21no—
1208C4×D4—21no—
1209C4×D4—21no—
1210C4×D4—21no—
1211C4×D4—21no—
1212C4×D4—21no—
1213C4×D4—21no—
1214C4×D4—21no—
1215C4×D4C23×C6711yescharacteristic
1216C4×D4C23×C6711yescharacteristic
1217C4×D4C23×C6711yescharacteristic
1218C4×D4C23×C6711yescharacteristic
1219C4×D4C23×C6711yescharacteristic
1220C4×D4C23×C6711yescharacteristic
1221C4×D4C23×C6711yescharacteristic
1222C4×D4C23×C6711yescharacteristic
1223#117—21no—
1224#117—21no—
1225#117—21no—
1226#117—21no—
1227#117—21no—
1228#117—21no—
1229#117—21no—
1230#117—21no—
1231#117—21no—
1232#117C23×C6711yescharacteristic
1233#117C23×C6711yescharacteristic
1234#117C23×C6711yescharacteristic
1235#117C23×C6711yescharacteristic
1236#117C23×C6711yescharacteristic
1237#117C23×C6711yescharacteristic
1238#117C23×C6711yescharacteristic
1239#117C23×C6711yescharacteristic
1240#117C23×C6711yescharacteristic
1241#117C23×C6711yescharacteristic
1242#117C23×C6711yescharacteristic
1243#117C23×C6711yescharacteristic
1244C2×C4⋊C4—21no—
1245C2×C4⋊C4C23×C6711yescharacteristic
1246C2×C4⋊C4C23×C6711yescharacteristic
1247C2×C4⋊C4C23×C6711yescharacteristic
1248C2×C4⋊C4C23×C6711yescharacteristic
1249C2×C22⋊C4—21no—
1250C2×C22⋊C4—21no—
1251C2×C22⋊C4—21no—
1252C2×C42—21no—
1253#107C23×C6711yescharacteristic
1254#107C23×C6711yescharacteristic
1255#107C23×C6711yescharacteristic
1256#107C23×C6711yescharacteristic
1257#107C23×C6711yescharacteristic
1258#107C23×C6711yescharacteristic
1259#107C23×C6711yescharacteristic
1260#107C23×C6711yescharacteristic
1261#107C23×C6711yescharacteristic
1262#107C23×C6711yescharacteristic
1263#107C23×C6711yescharacteristic
1264#107C23×C6711yescharacteristic
1265#106C23×C6711yescharacteristic
1266#106C23×C6711yescharacteristic
1267#106C23×C6711yescharacteristic
1268#106C23×C6711yescharacteristic
1269#106C23×C6711yescharacteristic
1270#106C23×C6711yescharacteristic
1271#106C23×C6711yescharacteristic
1272#106C23×C6711yescharacteristic
1273#106C23×C6711yescharacteristic
1274#106C23×C6711yescharacteristic
1275#106C23×C6711yescharacteristic
1276#106C23×C6711yescharacteristic
1277C4⋊C8C23×C6711yescharacteristic
1278C4⋊C8C23×C6711yescharacteristic
1279C4⋊C8C23×C6711yescharacteristic
1280C4⋊C8C23×C6711yescharacteristic
1281#103C23×C6711yescharacteristic
1282#103C23×C6711yescharacteristic
1283#103C23×C6711yescharacteristic
1284#103C23×C6711yescharacteristic
1285#103C23×C6711yescharacteristic
1286#103C23×C6711yescharacteristic
1287#103C23×C6711yescharacteristic
1288#103C23×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#102C23×C6711yescharacteristic
1298#102C23×C6711yescharacteristic
1299#102C23×C6711yescharacteristic
1300#102C23×C6711yescharacteristic
1301#102C23×C6711yescharacteristic
1302#102C23×C6711yescharacteristic
1303#102C23×C6711yescharacteristic
1304#102C23×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
1313C22⋊C8C23×C6711yescharacteristic
1314C22⋊C8C23×C6711yescharacteristic
1315C22⋊C8C23×C6711yescharacteristic
1316C22⋊C8C23×C6711yescharacteristic
1317C22⋊C8C23×C6711yescharacteristic
1318C22⋊C8C23×C6711yescharacteristic
1319C22⋊C8C23×C6711yescharacteristic
1320C22⋊C8C23×C6711yescharacteristic
1321C22⋊C8C23×C6711yescharacteristic
1322C22⋊C8C23×C6711yescharacteristic
1323C22⋊C8C23×C6711yescharacteristic
1324C22⋊C8C23×C6711yescharacteristic
1325#97C23×C6711yescharacteristic
1326#97C23×C6711yescharacteristic
1327C4×C8C23×C6711yescharacteristic
1328C4×C8C23×C6711yescharacteristic
1329C24—21no—
1330C24C2×D4×C6711yescharacteristic
1331#41—41no—
1332#41—41no—
1333#41—41no—
1334#41—41no—
1335#41—41no—
1336#41—41no—
1337#41—41no—
1338#41—41no—
1339C2×Q8—21no—
1340C2×Q8—21no—
1341C2×Q8—21no—
1342C2×Q8—21no—
1343C2×Q8—21no—
1344C2×Q8—41no—
1345C2×Q8—41no—
1346C2×Q8C2×D4×C6711yescharacteristic
1347C2×Q8C24×C6711yescharacteristic
1348C2×Q8C24×C6711yescharacteristic
1349C2×Q8C24×C6711yescharacteristic
1350C2×D4—21no—
1351C2×D4—21no—
1352C2×D4—21no—
1353C2×D4—21no—
1354C2×D4—21no—
1355C2×D4—21no—
1356C2×D4—21no—
1357C2×D4—21no—
1358C2×D4—21no—
1359C2×D4—21no—
1360C2×D4—21no—
1361C2×D4—21no—
1362C2×D4—21no—
1363C2×D4—21no—
1364C2×D4—41no—
1365C2×D4—41no—
1366C2×D4C2×D4×C6711yescharacteristic
1367C2×D4C2×D4×C6711yescharacteristic
1368C2×D4C2×D4×C6711yescharacteristic
1369C2×D4C2×D4×C6711yescharacteristic
1370C2×D4C2×D4×C6711yescharacteristic
1371C2×D4C2×D4×C6711yescharacteristic
1372C2×D4C2×D4×C6711yescharacteristic
1373C2×D4C24×C6711yescharacteristic
1374C2×D4C24×C6711yescharacteristic
1375C2×D4C24×C6711yescharacteristic
1376C22×C4—21no—
1377C22×C4—21no—
1378C22×C4—21no—
1379C22×C4—21no—
1380C22×C4—21no—
1381C22×C4—21no—
1382C22×C4—21no—
1383C22×C4—21no—
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—21no—
1387C22×C4—21no—
1388C22×C4—41no—
1389C22×C4—41no—
1390C22×C4C2×D4×C6711yescharacteristic
1391C22×C4C2×D4×C6711yescharacteristic
1392C22×C4C2×D4×C6711yescharacteristic
1393C22×C4C24×C6711yescharacteristic
1394C22×C4C24×C6711yescharacteristic
1395C22×C4C24×C6711yescharacteristic
1396C22×C4C24×C6711yescharacteristic
1397C22×C4C24×C6711yescharacteristic
1398Q16—41no—
1399Q16—41no—
1400SD16—41no—
1401SD16—41no—
1402SD16—41no—
1403SD16—41no—
1404D8—41no—
1405D8—41no—
1406M16—41no—
1407M16—41no—
1408C2×C8—41no—
1409C2×C8—41no—
1410C2×C8—41no—
1411C2×C8—41no—
1412C2×C8—41no—
1413C2×C8—41no—
1414C2×C8C24×C6711yescharacteristic
1415C2×C8C24×C6711yescharacteristic
1416C2×C8C24×C6711yescharacteristic
1417C2×C8C24×C6711yescharacteristic
1418C2×C8C24×C6711yescharacteristic
1419C2×C8C24×C6711yescharacteristic
1420C2×C8C24×C6711yescharacteristic
1421C2×C8C24×C6711yescharacteristic
1422C4⋊C4—21no—
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—21no—
1428C4⋊C4—21no—
1429C4⋊C4—21no—
1430C4⋊C4—21no—
1431C4⋊C4—21no—
1432C4⋊C4—21no—
1433C4⋊C4—21no—
1434C4⋊C4—21no—
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⋊C4C2×D4×C6711yescharacteristic
1449C4⋊C4C2×D4×C6711yescharacteristic
1450C4⋊C4C2×D4×C6711yescharacteristic
1451C4⋊C4C2×D4×C6711yescharacteristic
1452C4⋊C4C2×D4×C6711yescharacteristic
1453C4⋊C4C2×D4×C6711yescharacteristic
1454C4⋊C4C24×C6711yescharacteristic
1455C4⋊C4C24×C6711yescharacteristic
1456C4⋊C4C24×C6711yescharacteristic
1457C4⋊C4C24×C6711yescharacteristic
1458C4⋊C4C24×C6711yescharacteristic
1459C4⋊C4C24×C6711yescharacteristic
1460C4⋊C4C24×C6711yescharacteristic
1461C4⋊C4C24×C6711yescharacteristic
1462C4⋊C4C24×C6711yescharacteristic
1463C4⋊C4C24×C6711yescharacteristic
1464C22⋊C4—21no—
1465C22⋊C4—21no—
1466C22⋊C4—21no—
1467C22⋊C4—21no—
1468C22⋊C4—21no—
1469C22⋊C4—21no—
1470C22⋊C4—21no—
1471C22⋊C4—21no—
1472C22⋊C4—21no—
1473C22⋊C4—21no—
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—21no—
1479C22⋊C4—21no—
1480C22⋊C4—21no—
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
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⋊C4C2×D4×C6711yescharacteristic
1504C22⋊C4C2×D4×C6711yescharacteristic
1505C22⋊C4C2×D4×C6711yescharacteristic
1506C22⋊C4C2×D4×C6711yescharacteristic
1507C22⋊C4C2×D4×C6711yescharacteristic
1508C22⋊C4C2×D4×C6711yescharacteristic
1509C22⋊C4C2×D4×C6711yescharacteristic
1510C22⋊C4C2×D4×C6711yescharacteristic
1511C22⋊C4C2×D4×C6711yescharacteristic
1512C22⋊C4C2×D4×C6711yescharacteristic
1513C42—21no—
1514C42—21no—
1515C42—21no—
1516C42—21no—
1517C42—21no—
1518C42—21no—
1519C42—21no—
1520C42—21no—
1521C42—21no—
1522C42—21no—
1523C42—21no—
1524C42—21no—
1525C42—21no—
1526C42—21no—
1527C42—21no—
1528C42C24×C6711yescharacteristic
1529C42C24×C6711yescharacteristic
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—41no—
1534C23—41no—
1535C23—41no—
1536C23—81no—
1537C23—81no—
1538C23—81no—
1539C23C22×D4×C6711yescharacteristic
1540C23C22×D4×C6711yescharacteristic
1541C23C22×D4×C6711yescharacteristic
1542C23C22×D4×C6711yescharacteristic
1543C23C22×D4×C6711yescharacteristic
1544Q8—21no—
1545Q8—21no—
1546Q8—21no—
1547Q8—21no—
1548Q8—21no—
1549Q8—21no—
1550Q8—41no—
1551Q8—81no—
1552Q8—81no—
1553Q8—81no—
1554Q8—81no—
1555Q8—81no—
1556D4—21no—
1557D4—21no—
1558D4—21no—
1559D4—21no—
1560D4—21no—
1561D4—21no—
1562D4—41no—
1563D4—41no—
1564D4—41no—
1565D4—41no—
1566D4—41no—
1567D4—41no—
1568D4—41no—
1569D4—42no—
1570D4—81no—
1571D4—81no—
1572D4—81no—
1573D4—81no—
1574D4—81no—
1575D4—81no—
1576D4—81no—
1577D4—81no—
1578D4—81no—
1579D4—81no—
1580D4—81no—
1581D4—81no—
1582D4—81no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
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—41no—
1607C2×C4—41no—
1608C2×C4—41no—
1609C2×C4—42no—
1610C2×C4—81no—
1611C2×C4—81no—
1612C2×C4—81no—
1613C2×C4—81no—
1614C2×C4—81no—
1615C2×C4—81no—
1616C2×C4—81no—
1617C2×C4—81no—
1618C2×C4—81no—
1619C2×C4—81no—
1620C2×C4—81no—
1621C2×C4C22×D4×C6711yescharacteristic
1622C2×C4C22×D4×C6711yescharacteristic
1623C2×C4C22×D4×C6711yescharacteristic
1624C2×C4C22×D4×C6711yescharacteristic
1625C2×C4C22×D4×C6711yescharacteristic
1626C2×C4C22×D4×C6711yescharacteristic
1627C2×C4C22×D4×C6711yescharacteristic
1628C2×C4C22×D4×C6711yescharacteristic
1629C2×C4C22×D4×C6711yescharacteristic
1630C2×C4C25×C6711yescharacteristic
1631C8—21no—
1632C8—21no—
1633C8—21no—
1634C8—21no—
1635C8—21no—
1636C8—21no—
1637C8—21no—
1638C8—21no—
1639C22—21no—
1640C22—21no—
1641C22—21no—
1642C22—21no—
1643C22—21no—
1644C22—21no—
1645C22—21no—
1646C22—21no—
1647C22—21no—
1648C22—21no—
1649C22—21no—
1650C22—21no—
1651C22—21no—
1652C22—21no—
1653C22—21no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—82no—
1664C22—162no—
1665C22C23×D4×C6711yescharacteristic
1666C4—21no—
1667C4—21no—
1668C4—21no—
1669C4—21no—
1670C4—21no—
1671C4—21no—
1672C4—21no—
1673C4—21no—
1674C4—21no—
1675C4—41no—
1676C4—41no—
1677C4—41no—
1678C4—41no—
1679C4—41no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—41no—
1687C4—41no—
1688C4#585×C6711yescharacteristic
1689C4#585×C6711yescharacteristic
1690C2—41no—
1691C2—41no—
1692C2—41no—
1693C2—41no—
1694C2—41no—
1695C2—81no—
1696C2—81no—
1697C2—81no—
1698C2C67×#348511yescharacteristic
1699C2C67×#358411yescharacteristic
1700C2C67×#358411yescharacteristic
subgroupG/H
center, socleC22×C67C23×D4
commutator, Frattini, cosocleC2×C4C25×C67
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C67 ◁ #525×C67 ◁ G

Complements

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

NH ≅ G/Ntype
1. C67×#3540C2semidirect
2. C67×#3493C2semidirect
3. C67×#3350C2semidirect
4. C67×#3349C2semidirect
5. C67×#3348C2semidirect
6. C67×#3347C2semidirect
7. C67×#3342C2semidirect
8. C67×#3341C2semidirect
9. C67×#3340C2semidirect
10. C67×#3340C2semidirect
11. C67×#3321C2semidirect
12. C67×#3319C2semidirect
13. C67×#3313C2semidirect
14. C67×#3311C2semidirect
15. C67×#3301C2semidirect
16. C67×#3300C2semidirect
17. C67×#3297C2semidirect
18. C67×#3296C2semidirect
19. C67×#3244C2semidirect
20. C67×#3243C2semidirect
21. C67×#3201C2semidirect
22. C67×#3198C2semidirect
23. C67×#3191C2semidirect
24. C67×#3191C2semidirect
25. C67×#3125C2semidirect
26. C67×#3124C2semidirect
27. C67×#3097C2semidirect
28. C67×#3096C2semidirect
29. C67×#3091C2semidirect
30. C67×#3091C2semidirect
31. C67×#2977C2semidirect
39. #556×C67C22semidirect
44. #555×C67C22semidirect
47. #553×C67C22semidirect
50. #552×C67C22semidirect
56. #544×C67C22semidirect
73. #525×C67C22semidirect
75. #520×C67C22semidirect
76. C2×#117×C67C22semidirect
77. #501×C67C22semidirect
78. #501×C67C22semidirect
79. #500×C67C22semidirect
80. #498×C67C22semidirect
81. #489×C67C22semidirect
82. #489×C67C22semidirect
83. #488×C67C22semidirect
84. #488×C67C22semidirect
85. #485×C67C22semidirect
86. #485×C67C22semidirect
87. #485×C67C22semidirect
88. #485×C67C22semidirect
89. #485×C67C22semidirect
90. #485×C67C22semidirect
91. #485×C67C22semidirect
92. #485×C67C22semidirect
93. #485×C67C22semidirect
94. #485×C67C22semidirect
95. #485×C67C22semidirect
96. #485×C67C22semidirect
97. #484×C67C22semidirect
98. #484×C67C22semidirect
99. #484×C67C22semidirect
100. #483×C67C22semidirect
101. #483×C67C22semidirect
102. #483×C67C22semidirect
109. #482×C67C22semidirect
110. #482×C67C22semidirect
111. #482×C67C22semidirect
112. #482×C67C22semidirect
113. #482×C67C22semidirect
114. #482×C67C22semidirect
117. #481×C67C22semidirect
120. #480×C67C22semidirect
121. #479×C67C22semidirect
122. #479×C67C22semidirect
123. #478×C67C22semidirect
124. #478×C67C22semidirect
125. #477×C67C22semidirect
126. #477×C67C22semidirect
127. #476×C67C22semidirect
128. #476×C67C22semidirect
129. #475×C67C22semidirect
130. #475×C67C22semidirect
131. #474×C67C22semidirect
132. #474×C67C22semidirect
133. #470×C67C22semidirect
134. #469×C67C22semidirect
135. #468×C67C22semidirect
136. #468×C67C22semidirect
137. #467×C67C22semidirect
138. #467×C67C22semidirect
139. #467×C67C22semidirect
142. #466×C67C22semidirect
145. #465×C67C22semidirect
146. #465×C67C22semidirect
147. #465×C67C22semidirect
148. #465×C67C22semidirect
149. #464×C67C22semidirect
150. #464×C67C22semidirect
151. #463×C67C22semidirect
152. #463×C67C22semidirect
155. #452×C67C22semidirect
156. #452×C67C22semidirect
157. #451×C67C22semidirect
158. #450×C67C22semidirect
163. #448×C67C22semidirect
164. #447×C67C22semidirect
165. #442×C67C22semidirect
166. #441×C67C22semidirect
167. #440×C67C22semidirect
168. #440×C67C22semidirect
169. C4×Q16×C67C22semidirect
170. C4×SD16×C67C22semidirect
171. C4×SD16×C67C22semidirect
172. C4×D8×C67C22semidirect
175. #435×C67C22semidirect
176. #435×C67C22semidirect
179. C8×D4×C67C22semidirect
180. C8×D4×C67C22semidirect
181. #433×C67C22semidirect
182. #433×C67C22semidirect
183. #428×C67C22semidirect
184. #428×C67C22semidirect
185. #427×C67C22semidirect
186. #427×C67C22semidirect
187. #427×C67C22semidirect
188. #427×C67C22semidirect
189. #427×C67C22semidirect
190. #427×C67C22semidirect
191. #419×C67C22semidirect
192. #418×C67C22semidirect
197. C2×#103×C67C22semidirect
198. C2×#102×C67C22semidirect
201. C2×C22⋊C8×C67C22semidirect
202. C2×C22⋊C8×C67C22semidirect
839. #61769C67direct (N × H)
851. #3540C2×C67semidirect
852. #3493C2×C67semidirect
853. #3350C2×C67semidirect
854. #3349C2×C67semidirect
855. #3348C2×C67semidirect
856. #3347C2×C67semidirect
857. #3342C2×C67semidirect
858. #3341C2×C67semidirect
859. #3340C2×C67semidirect
860. #3340C2×C67semidirect
861. #3321C2×C67semidirect
862. #3319C2×C67semidirect
863. #3313C2×C67semidirect
864. #3311C2×C67semidirect
865. #3301C2×C67semidirect
866. #3300C2×C67semidirect
867. #3297C2×C67semidirect
868. #3296C2×C67semidirect
869. #3244C2×C67semidirect
870. #3243C2×C67semidirect
871. #3201C2×C67semidirect
872. #3198C2×C67semidirect
873. #3191C2×C67semidirect
874. #3191C2×C67semidirect
875. #3125C2×C67semidirect
876. #3124C2×C67semidirect
877. #3097C2×C67semidirect
878. #3096C2×C67semidirect
879. #3091C2×C67semidirect
880. #3091C2×C67semidirect
881. #2977C2×C67semidirect
882. C67#61769direct (N × H)
890. #556C22×C67semidirect
895. #555C22×C67semidirect
898. #553C22×C67semidirect
901. #552C22×C67semidirect
907. #544C22×C67semidirect
924. #525C22×C67semidirect
926. #520C22×C67semidirect
927. C2×#117C22×C67semidirect
928. #501C22×C67semidirect
929. #501C22×C67semidirect
930. #500C22×C67semidirect
931. #498C22×C67semidirect
932. #489C22×C67semidirect
933. #489C22×C67semidirect
934. #488C22×C67semidirect
935. #488C22×C67semidirect
936. #485C22×C67semidirect
937. #485C22×C67semidirect
938. #485C22×C67semidirect
939. #485C22×C67semidirect
940. #485C22×C67semidirect
941. #485C22×C67semidirect
942. #485C22×C67semidirect
943. #485C22×C67semidirect
944. #485C22×C67semidirect
945. #485C22×C67semidirect
946. #485C22×C67semidirect
947. #485C22×C67semidirect
948. #484C22×C67semidirect
949. #484C22×C67semidirect
950. #484C22×C67semidirect
951. #483C22×C67semidirect
952. #483C22×C67semidirect
953. #483C22×C67semidirect
960. #482C22×C67semidirect
961. #482C22×C67semidirect
962. #482C22×C67semidirect
963. #482C22×C67semidirect
964. #482C22×C67semidirect
965. #482C22×C67semidirect
968. #481C22×C67semidirect
971. #480C22×C67semidirect
972. #479C22×C67semidirect
973. #479C22×C67semidirect
974. #478C22×C67semidirect
975. #478C22×C67semidirect
976. #477C22×C67semidirect
977. #477C22×C67semidirect
978. #476C22×C67semidirect
979. #476C22×C67semidirect
980. #475C22×C67semidirect
981. #475C22×C67semidirect
982. #474C22×C67semidirect
983. #474C22×C67semidirect
984. #470C22×C67semidirect
985. #469C22×C67semidirect
986. #468C22×C67semidirect
987. #468C22×C67semidirect
988. #467C22×C67semidirect
989. #467C22×C67semidirect
990. #467C22×C67semidirect
993. #466C22×C67semidirect
996. #465C22×C67semidirect
997. #465C22×C67semidirect
998. #465C22×C67semidirect
999. #465C22×C67semidirect
1000. #464C22×C67semidirect
1001. #464C22×C67semidirect
1002. #463C22×C67semidirect
1003. #463C22×C67semidirect
1006. #452C22×C67semidirect
1007. #452C22×C67semidirect
1008. #451C22×C67semidirect
1009. #450C22×C67semidirect
1014. #448C22×C67semidirect
1015. #447C22×C67semidirect
1016. #442C22×C67semidirect
1017. #441C22×C67semidirect
1018. #440C22×C67semidirect
1019. #440C22×C67semidirect
1020. C4×Q16C22×C67semidirect
1021. C4×SD16C22×C67semidirect
1022. C4×SD16C22×C67semidirect
1023. C4×D8C22×C67semidirect
1026. #435C22×C67semidirect
1027. #435C22×C67semidirect
1030. C8×D4C22×C67semidirect
1031. C8×D4C22×C67semidirect
1032. #433C22×C67semidirect
1033. #433C22×C67semidirect
1034. #428C22×C67semidirect
1035. #428C22×C67semidirect
1036. #427C22×C67semidirect
1037. #427C22×C67semidirect
1038. #427C22×C67semidirect
1039. #427C22×C67semidirect
1040. #427C22×C67semidirect
1041. #427C22×C67semidirect
1042. #419C22×C67semidirect
1043. #418C22×C67semidirect
1048. C2×#103C22×C67semidirect
1049. C2×#102C22×C67semidirect
1052. C2×C22⋊C8C22×C67semidirect
1053. C2×C22⋊C8C22×C67semidirect

Maximal subgroups

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

subgroupindex
C67×#35402
C67×#34932
C67×#33502
C67×#33492
C67×#33482
C67×#33472
C67×#33422
C67×#33412
C67×#33402
C67×#33212
C67×#33192
C67×#33132
C67×#33112
C67×#33012
C67×#33002
C67×#32972
C67×#32962
C67×#32442
C67×#32432
C67×#32012
C67×#31982
C67×#31912
C67×#31252
C67×#31242
C67×#30972
C67×#30962
C67×#30912
C67×#29772
#6176967