Finite Group Databasebeta

← C67×#61611 #30740862

Subgroups — C67×#61611 #30740862

Order 17152.

2086 conjugacy classes of subgroups.

The subgroup lattice has 1882 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C67×#3542C211yesmaximal, characteristic, complemented
2C67×#3486C211yesmaximal, characteristic, complemented
3C67×#3329C211yesmaximal, characteristic, complemented
4C67×#3326C211yesmaximal, characteristic, complemented
5C67×#3321C211yesmaximal, characteristic, complemented
6C67×#3320C211yesmaximal, characteristic, complemented
7C67×#3312C211yesmaximal, characteristic, complemented
8C67×#3308C211yesmaximal, characteristic, complemented
9C67×#3300C211yesmaximal, characteristic, complemented
10C67×#3298C211yesmaximal, characteristic, complemented
11C67×#3282C211yesmaximal, characteristic, complemented
12D4×SD16×C67C211yesmaximal, characteristic, complemented
13C67×#3278C211yesmaximal, characteristic, complemented
14C67×#3275C211yesmaximal, characteristic, complemented
15C67×#3271C211yesmaximal, characteristic, complemented
16C67×#3266C211yesmaximal, characteristic, complemented
17C67×#3266C211yesmaximal, characteristic, complemented
18C67×#3265C211yesmaximal, characteristic, complemented
19C67×#3225C211yesmaximal, characteristic, complemented
20C67×#3221C211yesmaximal, characteristic, complemented
21C67×#3201C211yesmaximal, characteristic, complemented
22C67×#3200C211yesmaximal, characteristic, complemented
23C67×#3194C211yesmaximal, characteristic, complemented
24C67×#3191C211yesmaximal, characteristic, complemented
25C67×#3126C211yesmaximal, characteristic, complemented
26C67×#3121C211yesmaximal, characteristic, complemented
27C67×#3013C211yesmaximal, characteristic, complemented
28C67×#3010C211yesmaximal, characteristic, complemented
29C67×#3004C211yesmaximal, characteristic, complemented
30C2×#448×C67C211yesmaximal, characteristic, complemented
31C67×#2976C211yesmaximal, characteristic, complemented
32C2×2−1+4×C67C2211yescharacteristic, complemented
33C23×Q8×C67C2211yescharacteristic, complemented
34C2×#137×C67C2211yescharacteristic, complemented
35C2×#137×C67C2211yescharacteristic, complemented
36C2×#137×C67C2211yescharacteristic, complemented
37C2×AGL(1,ℤ/8)×C67C2211yescharacteristic, complemented
38C2×#135×C67C2211yescharacteristic, complemented
39C22×SD16×C67C2211yescharacteristic
40C22×SD16×C67C2211yescharacteristic
41C22×SD16×C67C2211yescharacteristic, complemented
42#562×C67—21no—
43#560×C67—21no—
44#555×C67C2211yescharacteristic
45#553×C67C2211yescharacteristic
46#552×C67C2211yescharacteristic
47#551×C67—21no—
48#550×C67C2211yescharacteristic
49D4×Q8×C67—21no—
50D4×Q8×C67—21no—
51D4×Q8×C67C2211yescharacteristic
52D4×Q8×C67C2211yescharacteristic, complemented
53D4×Q8×C67C2211yescharacteristic, complemented
54D4×Q8×C67C2211yescharacteristic, complemented
55#548×C67—21no—
56#548×C67—21no—
57#548×C67C2211yescharacteristic
58#548×C67C2211yescharacteristic, complemented
59#548×C67C2211yescharacteristic, complemented
60#548×C67C2211yescharacteristic, complemented
61#547×C67C2211yescharacteristic
62#546×C67—21no—
63#546×C67C2211yescharacteristic
64#546×C67C2211yescharacteristic
65D42×C67C2211yescharacteristic
66#542×C67C2211yescharacteristic
67#540×C67—21no—
68#540×C67C2211yescharacteristic
69#538×C67—21no—
70#537×C67C2211yescharacteristic
71#536×C67—21no—
72#536×C67—21no—
73#536×C67C2211yescharacteristic, complemented
74#536×C67C2211yescharacteristic, complemented
75#535×C67—21no—
76#535×C67C2211yescharacteristic
77#534×C67—21no—
78#525×C67—21no—
79#525×C67—21no—
80#525×C67C2211yescharacteristic
81#525×C67C2211yescharacteristic
82#525×C67C2211yescharacteristic, complemented
83C2×#121×C67C2211yescharacteristic
84#519×C67C2211yescharacteristic, complemented
85#497×C67C2211yescharacteristic, complemented
86#496×C67C2211yescharacteristic, complemented
87#495×C67C2211yescharacteristic, complemented
88#492×C67C2211yescharacteristic, complemented
89#491×C67C2211yescharacteristic, complemented
90#489×C67C2211yescharacteristic, complemented
91#488×C67C2211yescharacteristic, complemented
92#487×C67C2211yescharacteristic, complemented
93#485×C67C2211yescharacteristic, complemented
94#485×C67C2211yescharacteristic, complemented
95#485×C67C2211yescharacteristic, complemented
96#485×C67C2211yescharacteristic, complemented
97#484×C67C2211yescharacteristic, complemented
98#483×C67C2211yescharacteristic, complemented
99#483×C67C2211yescharacteristic, complemented
100#482×C67C2211yescharacteristic
101#482×C67C2211yescharacteristic, complemented
102#482×C67C2211yescharacteristic, complemented
103#482×C67C2211yescharacteristic, complemented
104#480×C67C2211yescharacteristic, complemented
105#479×C67C2211yescharacteristic, complemented
106#479×C67C2211yescharacteristic, complemented
107#477×C67C2211yescharacteristic, complemented
108#475×C67C2211yescharacteristic, complemented
109#470×C67C2211yescharacteristic, complemented
110#469×C67C2211yescharacteristic
111#469×C67C2211yescharacteristic, complemented
112#468×C67C2211yescharacteristic
113#468×C67C2211yescharacteristic, complemented
114#468×C67C2211yescharacteristic, complemented
115#468×C67C2211yescharacteristic, complemented
116#468×C67C2211yescharacteristic, complemented
117#467×C67C2211yescharacteristic, complemented
118#467×C67C2211yescharacteristic, complemented
119#466×C67C2211yescharacteristic
120#465×C67C2211yescharacteristic
121#465×C67C2211yescharacteristic, complemented
122#465×C67C2211yescharacteristic, complemented
123#465×C67C2211yescharacteristic, complemented
124#465×C67C2211yescharacteristic, complemented
125#464×C67C2211yescharacteristic, complemented
126#464×C67C2211yescharacteristic, complemented
127#464×C67C2211yescharacteristic, complemented
128#463×C67C2211yescharacteristic, complemented
129#463×C67C2211yescharacteristic, complemented
130#463×C67C2211yescharacteristic, complemented
131#462×C67C2211yescharacteristic, complemented
132#461×C67C2211yescharacteristic, complemented
133#461×C67C2211yescharacteristic, complemented
134#461×C67C2211yescharacteristic, complemented
135#460×C67C2211yescharacteristic, complemented
136#460×C67C2211yescharacteristic, complemented
137#452×C67C2211yescharacteristic, complemented
138#452×C67C2211yescharacteristic, complemented
139#452×C67C2211yescharacteristic, complemented
140#452×C67C2211yescharacteristic, complemented
141#452×C67C2211yescharacteristic, complemented
142#451×C67C2211yescharacteristic, complemented
143#451×C67C2211yescharacteristic, complemented
144#451×C67C2211yescharacteristic, complemented
145#451×C67C2211yescharacteristic, complemented
146#451×C67C2211yescharacteristic, complemented
147#450×C67C2211yescharacteristic
148#450×C67C2211yescharacteristic, complemented
149#450×C67C2211yescharacteristic, complemented
150#449×C67C2211yescharacteristic
151#449×C67C2211yescharacteristic, complemented
152#449×C67C2211yescharacteristic, complemented
153#449×C67C2211yescharacteristic, complemented
154#449×C67C2211yescharacteristic, complemented
155#449×C67C2211yescharacteristic, complemented
156#449×C67C2211yescharacteristic, complemented
157#448×C67C2211yescharacteristic
158#448×C67C2211yescharacteristic
159#448×C67C2211yescharacteristic
160#448×C67C2211yescharacteristic
161#448×C67C2211yescharacteristic
162#448×C67C2211yescharacteristic
163#448×C67C2211yescharacteristic, complemented
164#448×C67C2211yescharacteristic, complemented
165#448×C67C2211yescharacteristic, complemented
166#448×C67C2211yescharacteristic, complemented
167#448×C67C2211yescharacteristic, complemented
168#448×C67C2211yescharacteristic, complemented
169#448×C67C2211yescharacteristic, complemented
170#448×C67C2211yescharacteristic, complemented
171#448×C67C2211yescharacteristic, complemented
172#447×C67C2211yescharacteristic
173#441×C67C2211yescharacteristic, complemented
174#440×C67C2211yescharacteristic, complemented
175#440×C67C2211yescharacteristic, complemented
176#440×C67C2211yescharacteristic, complemented
177C4×Q16×C67C2211yescharacteristic, complemented
178C4×SD16×C67C2211yescharacteristic, complemented
179C4×SD16×C67C2211yescharacteristic, complemented
180C4×SD16×C67C2211yescharacteristic, complemented
181#436×C67C2211yescharacteristic, complemented
182#436×C67C2211yescharacteristic, complemented
183#435×C67C2211yescharacteristic
184#435×C67C2211yescharacteristic, complemented
185#435×C67C2211yescharacteristic, complemented
186#435×C67C2211yescharacteristic, complemented
187C8×D4×C67C2211yescharacteristic
188C8×D4×C67C2211yescharacteristic, complemented
189#433×C67C2211yescharacteristic, complemented
190#433×C67C2211yescharacteristic, complemented
191#419×C67C2211yescharacteristic, complemented
192#419×C67C2211yescharacteristic, complemented
193#419×C67C2211yescharacteristic, complemented
194#417×C67C2211yescharacteristic, complemented
195#416×C67C2211yescharacteristic, complemented
196C2×#103×C67C2211yescharacteristic, complemented
197C2×#103×C67C2211yescharacteristic, complemented
198C2×#103×C67C2211yescharacteristic, complemented
199#408×C67C2211yescharacteristic, complemented
200#408×C67C2211yescharacteristic, complemented
201#407×C67C2211yescharacteristic, complemented
202C2×C22⋊C8×C67C2211yescharacteristic, complemented
2032−1+4×C67—42no—
2042−1+4×C67—42no—
205C2×#41×C67—21no—
206C2×#41×C67—21no—
207C2×#41×C67—21no—
208C2×#41×C67—21no—
209C2×#41×C67C2311yescharacteristic
210C2×#41×C67C2311yescharacteristic
211C2×#41×C67C2311yescharacteristic
212C2×#41×C67C2311yescharacteristic
213C2×#41×C67C2311yescharacteristic
214C2×#41×C67C2311yescharacteristic
215C22×Q8×C67—21no—
216C22×Q8×C67—21no—
217C22×Q8×C67—21no—
218C22×Q8×C67—21no—
219C22×Q8×C67—42no—
220C22×Q8×C67—42no—
221C22×Q8×C67C2311yescharacteristic
222C22×Q8×C67C2311yescharacteristic
223C22×Q8×C67C2311yescharacteristic
224C22×Q8×C67C2311yescharacteristic
225C22×Q8×C67C2311yescharacteristic
226C22×Q8×C67C2311yescharacteristic
227C22×Q8×C67C2311yescharacteristic
228C22×Q8×C67C2311yescharacteristic
229C22×D4×C67—21no—
230C22×D4×C67—21no—
231C22×D4×C67C2311yescharacteristic
232C22×D4×C67C2311yescharacteristic
233C23×C4×C67—21no—
234C23×C4×C67C2311yescharacteristic
235#137×C67—42no—
236#137×C67—42no—
237#137×C67—42no—
238AGL(1,ℤ/8)×C67—42no—
239#135×C67—42no—
240C2×Q16×C67C2311yescharacteristic
241C2×Q16×C67C2311yescharacteristic
242C2×Q16×C67C2311yescharacteristic
243C2×Q16×C67C2311yescharacteristic
244C2×Q16×C67C2311yescharacteristic
245C2×SD16×C67—42no—
246C2×SD16×C67—42no—
247C2×SD16×C67—42no—
248C2×SD16×C67C2311yescharacteristic
249C2×SD16×C67C2311yescharacteristic
250C2×SD16×C67C2311yescharacteristic
251C2×SD16×C67C2311yescharacteristic
252C2×SD16×C67C2311yescharacteristic
253C2×SD16×C67C2311yescharacteristic
254C2×SD16×C67C2311yescharacteristic
255C2×SD16×C67C2311yescharacteristic
256C2×SD16×C67C2311yescharacteristic
257C2×SD16×C67C2311yescharacteristic
258C2×SD16×C67C2311yescharacteristic
259C2×SD16×C67C2311yescharacteristic
260C2×SD16×C67C2311yescharacteristic
261C2×SD16×C67C2311yescharacteristic
262C2×SD16×C67C2311yescharacteristic
263C2×SD16×C67C2311yescharacteristic
264C2×D8×C67C2311yescharacteristic
265C2×D8×C67C2311yescharacteristic
266C2×D8×C67C2311yescharacteristic
267C2×M16×C67C2311yescharacteristic
268C2×M16×C67C2311yescharacteristic
269C2×M16×C67C2311yescharacteristic
270C2×M16×C67C2311yescharacteristic
271C22×C8×C67C2311yescharacteristic
272C22×C8×C67C2311yescharacteristic
273C22×C8×C67C2311yescharacteristic
274C22×C8×C67C2311yescharacteristic
275C4⋊Q8×C67—21no—
276C4⋊Q8×C67—21no—
277C4⋊Q8×C67—21no—
278C4⋊Q8×C67—21no—
279C4⋊Q8×C67—21no—
280C4⋊Q8×C67C2311yescharacteristic
281C4⋊Q8×C67C2311yescharacteristic
282C4⋊Q8×C67C2311yescharacteristic
283#127×C67—21no—
284#127×C67—21no—
285#127×C67C2311yescharacteristic
286#126×C67—21no—
287#126×C67—21no—
288#126×C67—21no—
289#125×C67—21no—
290#125×C67C2311yescharacteristic
291#124×C67—21no—
292#124×C67—21no—
293#124×C67—21no—
294#124×C67—21no—
295#124×C67—21no—
296#124×C67—21no—
297#124×C67—21no—
298#124×C67—21no—
299#124×C67—21no—
300#124×C67C2311yescharacteristic
301#124×C67C2311yescharacteristic
302#124×C67C2311yescharacteristic
303#123×C67—21no—
304#123×C67—21no—
305#123×C67—21no—
306#123×C67—21no—
307#123×C67—21no—
308#123×C67—21no—
309#123×C67—21no—
310#123×C67—21no—
311#123×C67—21no—
312#123×C67—21no—
313#123×C67—21no—
314#123×C67—21no—
315#123×C67—21no—
316#123×C67—21no—
317#123×C67—21no—
318#123×C67D411yescharacteristic
319#123×C67D411yescharacteristic
320C22⋊Q8×C67—21no—
321C22⋊Q8×C67—21no—
322C22⋊Q8×C67—21no—
323C22⋊Q8×C67—21no—
324C22⋊Q8×C67—21no—
325C22⋊Q8×C67—21no—
326C22⋊Q8×C67—21no—
327C22⋊Q8×C67—21no—
328C22⋊Q8×C67—21no—
329C22⋊Q8×C67—21no—
330C22⋊Q8×C67—21no—
331C22⋊Q8×C67—21no—
332C22⋊Q8×C67—21no—
333C22⋊Q8×C67—21no—
334C22⋊Q8×C67—21no—
335C22⋊Q8×C67—21no—
336C22⋊Q8×C67—21no—
337C22⋊Q8×C67D411yescharacteristic
338C22⋊Q8×C67D411yescharacteristic
339C22⋊Q8×C67C2311yescharacteristic
340C22⋊Q8×C67C2311yescharacteristic
341C22⋊Q8×C67C2311yescharacteristic
342C22⋊Q8×C67C2311yescharacteristic
343C22⋊Q8×C67C2311yescharacteristic
344C22⋊Q8×C67C2311yescharacteristic
345C22⋊Q8×C67C2311yescharacteristic
346C22⋊Q8×C67C2311yescharacteristic
347C22⋊Q8×C67C2311yescharacteristic
348#121×C67—21no—
349#121×C67—21no—
350#121×C67—21no—
351#121×C67—21no—
352#121×C67—21no—
353#121×C67—21no—
354#121×C67—21no—
355#121×C67—21no—
356#121×C67—21no—
357#121×C67—21no—
358#121×C67—21no—
359#121×C67—21no—
360#121×C67—21no—
361#121×C67—21no—
362#121×C67—21no—
363#121×C67—21no—
364#121×C67—21no—
365#121×C67—21no—
366#121×C67D411yescharacteristic
367#121×C67D411yescharacteristic
368#121×C67C2311yescharacteristic
369#121×C67C2311yescharacteristic
370#121×C67C2311yescharacteristic
371#121×C67C2311yescharacteristic
372#121×C67C2311yescharacteristic
373#121×C67C2311yescharacteristic
374#121×C67C2311yescharacteristic
375#121×C67C2311yescharacteristic
376#121×C67C2311yescharacteristic
377#121×C67C2311yescharacteristic
378#121×C67C2311yescharacteristic
379#120×C67—21no—
380#120×C67—21no—
381#120×C67—21no—
382#120×C67—21no—
383#120×C67—21no—
384#120×C67—21no—
385#120×C67—21no—
386#120×C67—21no—
387#120×C67D411yescharacteristic
388#120×C67D411yescharacteristic
389C4×Q8×C67—21no—
390C4×Q8×C67—21no—
391C4×Q8×C67C2311yescharacteristic
392C4×Q8×C67C2311yescharacteristic
393C4×Q8×C67C2311yescharacteristic
394C4×Q8×C67C2311yescharacteristic
395C4×Q8×C67C2311yescharacteristic
396C4×D4×C67—21no—
397C4×D4×C67—21no—
398C4×D4×C67—21no—
399C4×D4×C67—21no—
400C4×D4×C67—21no—
401C4×D4×C67—21no—
402C4×D4×C67—21no—
403C4×D4×C67—21no—
404C4×D4×C67—21no—
405C4×D4×C67—21no—
406C4×D4×C67—21no—
407C4×D4×C67—21no—
408C4×D4×C67—21no—
409C4×D4×C67—21no—
410C4×D4×C67C2311yescharacteristic
411C4×D4×C67C2311yescharacteristic
412C4×D4×C67C2311yescharacteristic
413C4×D4×C67C2311yescharacteristic
414C4×D4×C67C2311yescharacteristic
415C4×D4×C67C2311yescharacteristic
416C4×D4×C67C2311yescharacteristic
417#117×C67—21no—
418#117×C67—21no—
419#117×C67—21no—
420#117×C67—21no—
421#117×C67C2311yescharacteristic
422#117×C67C2311yescharacteristic
423#117×C67C2311yescharacteristic
424#117×C67C2311yescharacteristic
425C2×C4⋊C4×C67C2311yescharacteristic
426C2×C4⋊C4×C67C2311yescharacteristic
427C2×C22⋊C4×C67—21no—
428C2×C22⋊C4×C67—21no—
429C2×C22⋊C4×C67—21no—
430#107×C67C2311yescharacteristic
431#107×C67C2311yescharacteristic
432#107×C67C2311yescharacteristic
433#107×C67C2311yescharacteristic
434#106×C67C2311yescharacteristic
435#106×C67C2311yescharacteristic
436#106×C67C2311yescharacteristic
437#106×C67C2311yescharacteristic
438C4⋊C8×C67C2311yescharacteristic
439C4⋊C8×C67C2311yescharacteristic
440C4⋊C8×C67C2311yescharacteristic
441C4⋊C8×C67C2311yescharacteristic
442#103×C67C2311yescharacteristic
443#103×C67C2311yescharacteristic
444#103×C67C2311yescharacteristic
445#103×C67C2311yescharacteristic
446#103×C67C2311yescharacteristic
447#103×C67C2311yescharacteristic
448#103×C67C2311yescharacteristic
449#103×C67C2311yescharacteristic
450#103×C67C2311yescharacteristic
451#103×C67C2311yescharacteristic
452#103×C67C2311yescharacteristic
453#103×C67C2311yescharacteristic
454#103×C67C2311yescharacteristic
455#103×C67C2311yescharacteristic
456#103×C67C2311yescharacteristic
457#103×C67C2311yescharacteristic
458#103×C67C2311yescharacteristic
459#103×C67C2311yescharacteristic
460#103×C67C2311yescharacteristic
461#103×C67C2311yescharacteristic
462#103×C67C2311yescharacteristic
463#103×C67C2311yescharacteristic
464#102×C67C2311yescharacteristic
465#102×C67C2311yescharacteristic
466#102×C67C2311yescharacteristic
467#102×C67C2311yescharacteristic
468#102×C67C2311yescharacteristic
469#102×C67C2311yescharacteristic
470#102×C67C2311yescharacteristic
471#102×C67C2311yescharacteristic
472#102×C67C2311yescharacteristic
473#102×C67C2311yescharacteristic
474C22⋊C8×C67C2311yescharacteristic
475C22⋊C8×C67C2311yescharacteristic
476C22⋊C8×C67C2311yescharacteristic
477C22⋊C8×C67C2311yescharacteristic
478C22⋊C8×C67C2311yescharacteristic
479C22⋊C8×C67C2311yescharacteristic
480C22⋊C8×C67C2311yescharacteristic
481C22⋊C8×C67C2311yescharacteristic
482C22⋊C8×C67C2311yescharacteristic
483C22⋊C8×C67C2311yescharacteristic
484C22⋊C8×C67C2311yescharacteristic
485C22⋊C8×C67C2311yescharacteristic
486#97×C67C2311yescharacteristic
487#97×C67C2311yescharacteristic
488C4×C8×C67C2311yescharacteristic
489C4×C8×C67C2311yescharacteristic
490C24×C67—21no—
491C24×C67—21no—
492C24×C67C2×D411yescharacteristic
493#41×C67—22no—
494#41×C67—22no—
495#41×C67—41no—
496#41×C67—41no—
497#41×C67—41no—
498#41×C67—41no—
499#41×C67—41no—
500#41×C67—41no—
501#41×C67—44no—
502#41×C67—44no—
503#41×C67—41no—
504#41×C67—41no—
505#41×C67—41no—
506#41×C67—41no—
507#41×C67—44no—
508#41×C67—82no—
509C2×Q8×C67—22no—
510C2×Q8×C67—22no—
511C2×Q8×C67—21no—
512C2×Q8×C67—21no—
513C2×Q8×C67—21no—
514C2×Q8×C67—21no—
515C2×Q8×C67—21no—
516C2×Q8×C67—21no—
517C2×Q8×C67—21no—
518C2×Q8×C67—21no—
519C2×Q8×C67—21no—
520C2×Q8×C67—22no—
521C2×Q8×C67—22no—
522C2×Q8×C67—22no—
523C2×Q8×C67—22no—
524C2×Q8×C67—22no—
525C2×Q8×C67—22no—
526C2×Q8×C67—41no—
527C2×Q8×C67—41no—
528C2×Q8×C67—41no—
529C2×Q8×C67—41no—
530C2×Q8×C67—41no—
531C2×Q8×C67—41no—
532C2×Q8×C67—41no—
533C2×Q8×C67—41no—
534C2×Q8×C67—44no—
535C2×Q8×C67—44no—
536C2×Q8×C67—44no—
537C2×Q8×C67—44no—
538C2×Q8×C67C2×D411yescharacteristic
539C2×Q8×C67C2411yescharacteristic
540C2×Q8×C67C2411yescharacteristic
541C2×Q8×C67C2411yescharacteristic
542C2×Q8×C67C2411yescharacteristic
543C2×Q8×C67C2411yescharacteristic
544C2×Q8×C67C2411yescharacteristic
545C2×D4×C67—21no—
546C2×D4×C67—21no—
547C2×D4×C67—21no—
548C2×D4×C67—21no—
549C2×D4×C67—21no—
550C2×D4×C67—21no—
551C2×D4×C67—21no—
552C2×D4×C67—21no—
553C2×D4×C67—21no—
554C2×D4×C67—21no—
555C2×D4×C67—21no—
556C2×D4×C67—21no—
557C2×D4×C67—21no—
558C2×D4×C67—21no—
559C2×D4×C67—21no—
560C2×D4×C67—21no—
561C2×D4×C67—21no—
562C2×D4×C67—21no—
563C2×D4×C67—21no—
564C2×D4×C67—21no—
565C2×D4×C67—41no—
566C2×D4×C67—41no—
567C2×D4×C67—41no—
568C2×D4×C67—41no—
569C2×D4×C67—82no—
570C2×D4×C67—82no—
571C2×D4×C67C2×D411yescharacteristic
572C2×D4×C67C2×D411yescharacteristic
573C2×D4×C67C2×D411yescharacteristic
574C2×D4×C67C2×D411yescharacteristic
575C2×D4×C67C2×D411yescharacteristic
576C2×D4×C67C2×D411yescharacteristic
577C2×D4×C67C2×D411yescharacteristic
578C2×D4×C67C2411yescharacteristic
579C2×D4×C67C2411yescharacteristic
580C2×D4×C67C2411yescharacteristic
581C2×D4×C67C2411yescharacteristic
582C22×C4×C67—21no—
583C22×C4×C67—21no—
584C22×C4×C67—21no—
585C22×C4×C67—21no—
586C22×C4×C67—21no—
587C22×C4×C67—21no—
588C22×C4×C67—21no—
589C22×C4×C67—21no—
590C22×C4×C67—21no—
591C22×C4×C67—21no—
592C22×C4×C67—21no—
593C22×C4×C67—21no—
594C22×C4×C67—21no—
595C22×C4×C67—21no—
596C22×C4×C67—21no—
597C22×C4×C67—21no—
598C22×C4×C67—21no—
599C22×C4×C67—21no—
600C22×C4×C67—41no—
601C22×C4×C67—41no—
602C22×C4×C67—44no—
603C22×C4×C67C2×D411yescharacteristic
604C22×C4×C67C2×D411yescharacteristic
605C22×C4×C67C2×D411yescharacteristic
606C22×C4×C67C2411yescharacteristic
607C22×C4×C67C2411yescharacteristic
608C22×C4×C67C2411yescharacteristic
609C22×C4×C67C2411yescharacteristic
610C22×C4×C67C2411yescharacteristic
611Q16×C67—22no—
612Q16×C67—22no—
613Q16×C67—41no—
614Q16×C67—41no—
615Q16×C67—41no—
616SD16×C67—22no—
617SD16×C67—22no—
618SD16×C67—22no—
619SD16×C67—22no—
620SD16×C67—22no—
621SD16×C67—22no—
622SD16×C67—41no—
623SD16×C67—41no—
624SD16×C67—41no—
625SD16×C67—41no—
626SD16×C67—41no—
627SD16×C67—41no—
628SD16×C67—41no—
629SD16×C67—41no—
630SD16×C67—41no—
631SD16×C67—41no—
632D8×C67—41no—
633D8×C67—41no—
634D8×C67—41no—
635M16×C67—41no—
636M16×C67—41no—
637M16×C67—41no—
638M16×C67—41no—
639C2×C8×C67—41no—
640C2×C8×C67—41no—
641C2×C8×C67—41no—
642C2×C8×C67—41no—
643C2×C8×C67C2411yescharacteristic
644C2×C8×C67C2411yescharacteristic
645C2×C8×C67C2411yescharacteristic
646C2×C8×C67C2411yescharacteristic
647C2×C8×C67C2411yescharacteristic
648C2×C8×C67C2411yescharacteristic
649C2×C8×C67C2411yescharacteristic
650C2×C8×C67C2411yescharacteristic
651C4⋊C4×C67—21no—
652C4⋊C4×C67—21no—
653C4⋊C4×C67—21no—
654C4⋊C4×C67—21no—
655C4⋊C4×C67—21no—
656C4⋊C4×C67—21no—
657C4⋊C4×C67—21no—
658C4⋊C4×C67—21no—
659C4⋊C4×C67—21no—
660C4⋊C4×C67—21no—
661C4⋊C4×C67—21no—
662C4⋊C4×C67—21no—
663C4⋊C4×C67—21no—
664C4⋊C4×C67—21no—
665C4⋊C4×C67—21no—
666C4⋊C4×C67—21no—
667C4⋊C4×C67—21no—
668C4⋊C4×C67—21no—
669C4⋊C4×C67—21no—
670C4⋊C4×C67—21no—
671C4⋊C4×C67—21no—
672C4⋊C4×C67—21no—
673C4⋊C4×C67—21no—
674C4⋊C4×C67C2×D411yescharacteristic
675C4⋊C4×C67C2×D411yescharacteristic
676C4⋊C4×C67C2×D411yescharacteristic
677C4⋊C4×C67C2×D411yescharacteristic
678C4⋊C4×C67C2×D411yescharacteristic
679C4⋊C4×C67C2×D411yescharacteristic
680C4⋊C4×C67C2411yescharacteristic
681C4⋊C4×C67C2411yescharacteristic
682C4⋊C4×C67C2411yescharacteristic
683C4⋊C4×C67C2411yescharacteristic
684C4⋊C4×C67C2411yescharacteristic
685C4⋊C4×C67C2411yescharacteristic
686C22⋊C4×C67—21no—
687C22⋊C4×C67—21no—
688C22⋊C4×C67—21no—
689C22⋊C4×C67—21no—
690C22⋊C4×C67—21no—
691C22⋊C4×C67—21no—
692C22⋊C4×C67—21no—
693C22⋊C4×C67—21no—
694C22⋊C4×C67—21no—
695C22⋊C4×C67—21no—
696C22⋊C4×C67—21no—
697C22⋊C4×C67—21no—
698C22⋊C4×C67—21no—
699C22⋊C4×C67—21no—
700C22⋊C4×C67—21no—
701C22⋊C4×C67—21no—
702C22⋊C4×C67—21no—
703C22⋊C4×C67—21no—
704C22⋊C4×C67—21no—
705C22⋊C4×C67—21no—
706C22⋊C4×C67—21no—
707C22⋊C4×C67—21no—
708C22⋊C4×C67—21no—
709C22⋊C4×C67—21no—
710C22⋊C4×C67—21no—
711C22⋊C4×C67—21no—
712C22⋊C4×C67—21no—
713C22⋊C4×C67—21no—
714C22⋊C4×C67—21no—
715C22⋊C4×C67—21no—
716C22⋊C4×C67—21no—
717C22⋊C4×C67—21no—
718C22⋊C4×C67C2×D411yescharacteristic
719C22⋊C4×C67C2×D411yescharacteristic
720C22⋊C4×C67C2×D411yescharacteristic
721C22⋊C4×C67C2×D411yescharacteristic
722C22⋊C4×C67C2×D411yescharacteristic
723C22⋊C4×C67C2×D411yescharacteristic
724C22⋊C4×C67C2×D411yescharacteristic
725C22⋊C4×C67C2×D411yescharacteristic
726C22⋊C4×C67C2×D411yescharacteristic
727C22⋊C4×C67C2×D411yescharacteristic
728C42×C67—21no—
729C42×C67—21no—
730C42×C67—21no—
731C42×C67—21no—
732C42×C67—21no—
733C42×C67—21no—
734C42×C67—21no—
735C42×C67—21no—
736C42×C67C2411yescharacteristic
737C42×C67C2411yescharacteristic
738C23×C67—22no—
739C23×C67—21no—
740C23×C67—21no—
741C23×C67—21no—
742C23×C67—21no—
743C23×C67—41no—
744C23×C67—41no—
745C23×C67—42no—
746C23×C67—81no—
747C23×C67—81no—
748C23×C67—81no—
749C23×C67—81no—
750C23×C67—81no—
751C23×C67C22×D411yescharacteristic
752C23×C67C22×D411yescharacteristic
753C23×C67C22×D411yescharacteristic
754C23×C67C22×D411yescharacteristic
755C23×C67C22×D411yescharacteristic
756Q8×C67—24no—
757Q8×C67—21no—
758Q8×C67—21no—
759Q8×C67—21no—
760Q8×C67—21no—
761Q8×C67—21no—
762Q8×C67—21no—
763Q8×C67—21no—
764Q8×C67—21no—
765Q8×C67—21no—
766Q8×C67—21no—
767Q8×C67—41no—
768Q8×C67—42no—
769Q8×C67—42no—
770Q8×C67—42no—
771Q8×C67—42no—
772Q8×C67—42no—
773Q8×C67—42no—
774Q8×C67—42no—
775Q8×C67—81no—
776Q8×C67H(5,𝔽2)12yes—
777Q8×C67H(5,𝔽2)12yes—
778D4×C67—22no—
779D4×C67—22no—
780D4×C67—21no—
781D4×C67—21no—
782D4×C67—21no—
783D4×C67—21no—
784D4×C67—21no—
785D4×C67—21no—
786D4×C67—21no—
787D4×C67—21no—
788D4×C67—41no—
789D4×C67—41no—
790D4×C67—41no—
791D4×C67—41no—
792D4×C67—41no—
793D4×C67—42no—
794D4×C67—42no—
795D4×C67—42no—
796D4×C67—42no—
797D4×C67—42no—
798D4×C67—42no—
799D4×C67—81no—
800D4×C67—81no—
801D4×C67—81no—
802D4×C67—81no—
803D4×C67—81no—
804D4×C67—81no—
805D4×C67—81no—
806D4×C67—81no—
807D4×C67—81no—
808D4×C67—81no—
809D4×C67—81no—
810D4×C67—81no—
811D4×C67—81no—
812D4×C67—81no—
813C2×C4×C67—24no—
814C2×C4×C67—21no—
815C2×C4×C67—21no—
816C2×C4×C67—21no—
817C2×C4×C67—21no—
818C2×C4×C67—21no—
819C2×C4×C67—21no—
820C2×C4×C67—21no—
821C2×C4×C67—21no—
822C2×C4×C67—21no—
823C2×C4×C67—21no—
824C2×C4×C67—21no—
825C2×C4×C67—21no—
826C2×C4×C67—21no—
827C2×C4×C67—21no—
828C2×C4×C67—21no—
829C2×C4×C67—21no—
830C2×C4×C67—21no—
831C2×C4×C67—21no—
832C2×C4×C67—21no—
833C2×C4×C67—21no—
834C2×C4×C67—21no—
835C2×C4×C67—21no—
836C2×C4×C67—41no—
837C2×C4×C67—41no—
838C2×C4×C67—41no—
839C2×C4×C67—42no—
840C2×C4×C67—42no—
841C2×C4×C67—42no—
842C2×C4×C67—42no—
843C2×C4×C67—42no—
844C2×C4×C67—42no—
845C2×C4×C67—42no—
846C2×C4×C67—42no—
847C2×C4×C67—42no—
848C2×C4×C67—42no—
849C2×C4×C67—42no—
850C2×C4×C67—81no—
851C2×C4×C67—81no—
852C2×C4×C67—81no—
853C2×C4×C67—81no—
854C2×C4×C67—81no—
855C2×C4×C67—81no—
856C2×C4×C67C22×D411yescharacteristic
857C2×C4×C67C22×D411yescharacteristic
858C2×C4×C67C22×D411yescharacteristic
859C2×C4×C67C22×D411yescharacteristic
860C2×C4×C67C22×D411yescharacteristic
861C2×C4×C67C22×D411yescharacteristic
862C2×C4×C67C22×D411yescharacteristic
863C2×C4×C67C22×D411yescharacteristic
864C2×C4×C67C22×D411yescharacteristic
865C2×C4×C67C2511yescharacteristic
866C8×C67—21no—
867C8×C67—21no—
868C8×C67—21no—
869C8×C67—21no—
870C8×C67—21no—
871C8×C67—21no—
872C8×C67—21no—
873C8×C67—21no—
874C22×C67—21no—
875C22×C67—21no—
876C22×C67—21no—
877C22×C67—21no—
878C22×C67—21no—
879C22×C67—21no—
880C22×C67—21no—
881C22×C67—21no—
882C22×C67—21no—
883C22×C67—21no—
884C22×C67—21no—
885C22×C67—21no—
886C22×C67—21no—
887C22×C67—21no—
888C22×C67—44no—
889C22×C67—41no—
890C22×C67—41no—
891C22×C67—41no—
892C22×C67—41no—
893C22×C67—41no—
894C22×C67—41no—
895C22×C67—41no—
896C22×C67—41no—
897C22×C67—41no—
898C22×C67—41no—
899C22×C67—41no—
900C22×C67—41no—
901C22×C67—162no—
902C22×C67—162no—
903C22×C67#57712yes—
904C22×C67C23×D411yescharacteristic
905C4×C67—21no—
906C4×C67—21no—
907C4×C67—22no—
908C4×C67—22no—
909C4×C67—21no—
910C4×C67—21no—
911C4×C67—21no—
912C4×C67—21no—
913C4×C67—21no—
914C4×C67—21no—
915C4×C67—21no—
916C4×C67—41no—
917C4×C67—41no—
918C4×C67—41no—
919C4×C67—41no—
920C4×C67—41no—
921C4×C67—41no—
922C4×C67—41no—
923C4×C67—41no—
924C4×C67—41no—
925C4×C67—41no—
926C4×C67C2×H(5,𝔽2)11yescharacteristic
927C4×C67C2×H(5,𝔽2)11yescharacteristic
928#61611C6711yesmaximal, characteristic, direct product factor, Sylow
929C2×C67—22no—
930C2×C67—41no—
931C2×C67—41no—
932C2×C67—41no—
933C2×C67—41no—
934C2×C67—81no—
935C2×C67—81no—
936C2×C67—81no—
937C2×C67—81no—
938C2×C67#348411yescharacteristic
939C2×C67C2×#57711yescharacteristic
940C2×C67#358611yescharacteristic
941#3542C2×C6711yescharacteristic, complemented
942#3486C2×C6711yescharacteristic, complemented
943#3329C2×C6711yescharacteristic, complemented
944#3326C2×C6711yescharacteristic, complemented
945#3321C2×C6711yescharacteristic, complemented
946#3320C2×C6711yescharacteristic, complemented
947#3312C2×C6711yescharacteristic, complemented
948#3308C2×C6711yescharacteristic, complemented
949#3300C2×C6711yescharacteristic, complemented
950#3298C2×C6711yescharacteristic, complemented
951#3282C2×C6711yescharacteristic, complemented
952D4×SD16C2×C6711yescharacteristic, complemented
953#3278C2×C6711yescharacteristic, complemented
954#3275C2×C6711yescharacteristic, complemented
955#3271C2×C6711yescharacteristic, complemented
956#3266C2×C6711yescharacteristic, complemented
957#3266C2×C6711yescharacteristic, complemented
958#3265C2×C6711yescharacteristic, complemented
959#3225C2×C6711yescharacteristic, complemented
960#3221C2×C6711yescharacteristic, complemented
961#3201C2×C6711yescharacteristic, complemented
962#3200C2×C6711yescharacteristic, complemented
963#3194C2×C6711yescharacteristic, complemented
964#3191C2×C6711yescharacteristic, complemented
965#3126C2×C6711yescharacteristic, complemented
966#3121C2×C6711yescharacteristic, complemented
967#3013C2×C6711yescharacteristic, complemented
968#3010C2×C6711yescharacteristic, complemented
969#3004C2×C6711yescharacteristic, complemented
970C2×#448C2×C6711yescharacteristic, complemented
971#2976C2×C6711yescharacteristic, complemented
972C67#6161111yescharacteristic, direct product factor, Sylow
973C2×2−1+4C22×C6711yescharacteristic, complemented
974C23×Q8C22×C6711yescharacteristic, complemented
975C2×#137C22×C6711yescharacteristic, complemented
976C2×#137C22×C6711yescharacteristic, complemented
977C2×#137C22×C6711yescharacteristic, complemented
978C2×AGL(1,ℤ/8)C22×C6711yescharacteristic, complemented
979C2×#135C22×C6711yescharacteristic, complemented
980C22×SD16C22×C6711yescharacteristic
981C22×SD16C22×C6711yescharacteristic
982C22×SD16C22×C6711yescharacteristic, complemented
983#562—21no—
984#560—21no—
985#555C22×C6711yescharacteristic
986#553C22×C6711yescharacteristic
987#552C22×C6711yescharacteristic
988#551—21no—
989#550C22×C6711yescharacteristic
990D4×Q8—21no—
991D4×Q8—21no—
992D4×Q8C22×C6711yescharacteristic
993D4×Q8C22×C6711yescharacteristic, complemented
994D4×Q8C22×C6711yescharacteristic, complemented
995D4×Q8C22×C6711yescharacteristic, complemented
996#548—21no—
997#548—21no—
998#548C22×C6711yescharacteristic
999#548C22×C6711yescharacteristic, complemented
1000#548C22×C6711yescharacteristic, complemented
1001#548C22×C6711yescharacteristic, complemented
1002#547C22×C6711yescharacteristic
1003#546—21no—
1004#546C22×C6711yescharacteristic
1005#546C22×C6711yescharacteristic
1006D42C22×C6711yescharacteristic
1007#542C22×C6711yescharacteristic
1008#540—21no—
1009#540C22×C6711yescharacteristic
1010#538—21no—
1011#537C22×C6711yescharacteristic
1012#536—21no—
1013#536—21no—
1014#536C22×C6711yescharacteristic, complemented
1015#536C22×C6711yescharacteristic, complemented
1016#535—21no—
1017#535C22×C6711yescharacteristic
1018#534—21no—
1019#525—21no—
1020#525—21no—
1021#525C22×C6711yescharacteristic
1022#525C22×C6711yescharacteristic
1023#525C22×C6711yescharacteristic, complemented
1024C2×#121C22×C6711yescharacteristic
1025#519C22×C6711yescharacteristic, complemented
1026#497C22×C6711yescharacteristic, complemented
1027#496C22×C6711yescharacteristic, complemented
1028#495C22×C6711yescharacteristic, complemented
1029#492C22×C6711yescharacteristic, complemented
1030#491C22×C6711yescharacteristic, complemented
1031#489C22×C6711yescharacteristic, complemented
1032#488C22×C6711yescharacteristic, complemented
1033#487C22×C6711yescharacteristic, complemented
1034#485C22×C6711yescharacteristic, complemented
1035#485C22×C6711yescharacteristic, complemented
1036#485C22×C6711yescharacteristic, complemented
1037#485C22×C6711yescharacteristic, complemented
1038#484C22×C6711yescharacteristic, complemented
1039#483C22×C6711yescharacteristic, complemented
1040#483C22×C6711yescharacteristic, complemented
1041#482C22×C6711yescharacteristic
1042#482C22×C6711yescharacteristic, complemented
1043#482C22×C6711yescharacteristic, complemented
1044#482C22×C6711yescharacteristic, complemented
1045#480C22×C6711yescharacteristic, complemented
1046#479C22×C6711yescharacteristic, complemented
1047#479C22×C6711yescharacteristic, complemented
1048#477C22×C6711yescharacteristic, complemented
1049#475C22×C6711yescharacteristic, complemented
1050#470C22×C6711yescharacteristic, complemented
1051#469C22×C6711yescharacteristic
1052#469C22×C6711yescharacteristic, complemented
1053#468C22×C6711yescharacteristic
1054#468C22×C6711yescharacteristic, complemented
1055#468C22×C6711yescharacteristic, complemented
1056#468C22×C6711yescharacteristic, complemented
1057#468C22×C6711yescharacteristic, complemented
1058#467C22×C6711yescharacteristic, complemented
1059#467C22×C6711yescharacteristic, complemented
1060#466C22×C6711yescharacteristic
1061#465C22×C6711yescharacteristic
1062#465C22×C6711yescharacteristic, complemented
1063#465C22×C6711yescharacteristic, complemented
1064#465C22×C6711yescharacteristic, complemented
1065#465C22×C6711yescharacteristic, complemented
1066#464C22×C6711yescharacteristic, complemented
1067#464C22×C6711yescharacteristic, complemented
1068#464C22×C6711yescharacteristic, complemented
1069#463C22×C6711yescharacteristic, complemented
1070#463C22×C6711yescharacteristic, complemented
1071#463C22×C6711yescharacteristic, complemented
1072#462C22×C6711yescharacteristic, complemented
1073#461C22×C6711yescharacteristic, complemented
1074#461C22×C6711yescharacteristic, complemented
1075#461C22×C6711yescharacteristic, complemented
1076#460C22×C6711yescharacteristic, complemented
1077#460C22×C6711yescharacteristic, complemented
1078#452C22×C6711yescharacteristic, complemented
1079#452C22×C6711yescharacteristic, complemented
1080#452C22×C6711yescharacteristic, complemented
1081#452C22×C6711yescharacteristic, complemented
1082#452C22×C6711yescharacteristic, complemented
1083#451C22×C6711yescharacteristic, complemented
1084#451C22×C6711yescharacteristic, complemented
1085#451C22×C6711yescharacteristic, complemented
1086#451C22×C6711yescharacteristic, complemented
1087#451C22×C6711yescharacteristic, complemented
1088#450C22×C6711yescharacteristic
1089#450C22×C6711yescharacteristic, complemented
1090#450C22×C6711yescharacteristic, complemented
1091#449C22×C6711yescharacteristic
1092#449C22×C6711yescharacteristic, complemented
1093#449C22×C6711yescharacteristic, complemented
1094#449C22×C6711yescharacteristic, complemented
1095#449C22×C6711yescharacteristic, complemented
1096#449C22×C6711yescharacteristic, complemented
1097#449C22×C6711yescharacteristic, complemented
1098#448C22×C6711yescharacteristic
1099#448C22×C6711yescharacteristic
1100#448C22×C6711yescharacteristic
1101#448C22×C6711yescharacteristic
1102#448C22×C6711yescharacteristic
1103#448C22×C6711yescharacteristic
1104#448C22×C6711yescharacteristic, complemented
1105#448C22×C6711yescharacteristic, complemented
1106#448C22×C6711yescharacteristic, complemented
1107#448C22×C6711yescharacteristic, complemented
1108#448C22×C6711yescharacteristic, complemented
1109#448C22×C6711yescharacteristic, complemented
1110#448C22×C6711yescharacteristic, complemented
1111#448C22×C6711yescharacteristic, complemented
1112#448C22×C6711yescharacteristic, complemented
1113#447C22×C6711yescharacteristic
1114#441C22×C6711yescharacteristic, complemented
1115#440C22×C6711yescharacteristic, complemented
1116#440C22×C6711yescharacteristic, complemented
1117#440C22×C6711yescharacteristic, complemented
1118C4×Q16C22×C6711yescharacteristic, complemented
1119C4×SD16C22×C6711yescharacteristic, complemented
1120C4×SD16C22×C6711yescharacteristic, complemented
1121C4×SD16C22×C6711yescharacteristic, complemented
1122#436C22×C6711yescharacteristic, complemented
1123#436C22×C6711yescharacteristic, complemented
1124#435C22×C6711yescharacteristic
1125#435C22×C6711yescharacteristic, complemented
1126#435C22×C6711yescharacteristic, complemented
1127#435C22×C6711yescharacteristic, complemented
1128C8×D4C22×C6711yescharacteristic
1129C8×D4C22×C6711yescharacteristic, complemented
1130#433C22×C6711yescharacteristic, complemented
1131#433C22×C6711yescharacteristic, complemented
1132#419C22×C6711yescharacteristic, complemented
1133#419C22×C6711yescharacteristic, complemented
1134#419C22×C6711yescharacteristic, complemented
1135#417C22×C6711yescharacteristic, complemented
1136#416C22×C6711yescharacteristic, complemented
1137C2×#103C22×C6711yescharacteristic, complemented
1138C2×#103C22×C6711yescharacteristic, complemented
1139C2×#103C22×C6711yescharacteristic, complemented
1140#408C22×C6711yescharacteristic, complemented
1141#408C22×C6711yescharacteristic, complemented
1142#407C22×C6711yescharacteristic, complemented
1143C2×C22⋊C8C22×C6711yescharacteristic, complemented
11442−1+4—42no—
11452−1+4—42no—
1146C2×#41—21no—
1147C2×#41—21no—
1148C2×#41—21no—
1149C2×#41—21no—
1150C2×#41C23×C6711yescharacteristic
1151C2×#41C23×C6711yescharacteristic
1152C2×#41C23×C6711yescharacteristic
1153C2×#41C23×C6711yescharacteristic
1154C2×#41C23×C6711yescharacteristic
1155C2×#41C23×C6711yescharacteristic
1156C22×Q8—21no—
1157C22×Q8—21no—
1158C22×Q8—21no—
1159C22×Q8—21no—
1160C22×Q8—42no—
1161C22×Q8—42no—
1162C22×Q8C23×C6711yescharacteristic
1163C22×Q8C23×C6711yescharacteristic
1164C22×Q8C23×C6711yescharacteristic
1165C22×Q8C23×C6711yescharacteristic
1166C22×Q8C23×C6711yescharacteristic
1167C22×Q8C23×C6711yescharacteristic
1168C22×Q8C23×C6711yescharacteristic
1169C22×Q8C23×C6711yescharacteristic
1170C22×D4—21no—
1171C22×D4—21no—
1172C22×D4C23×C6711yescharacteristic
1173C22×D4C23×C6711yescharacteristic
1174C23×C4—21no—
1175C23×C4C23×C6711yescharacteristic
1176#137—42no—
1177#137—42no—
1178#137—42no—
1179AGL(1,ℤ/8)—42no—
1180#135—42no—
1181C2×Q16C23×C6711yescharacteristic
1182C2×Q16C23×C6711yescharacteristic
1183C2×Q16C23×C6711yescharacteristic
1184C2×Q16C23×C6711yescharacteristic
1185C2×Q16C23×C6711yescharacteristic
1186C2×SD16—42no—
1187C2×SD16—42no—
1188C2×SD16—42no—
1189C2×SD16C23×C6711yescharacteristic
1190C2×SD16C23×C6711yescharacteristic
1191C2×SD16C23×C6711yescharacteristic
1192C2×SD16C23×C6711yescharacteristic
1193C2×SD16C23×C6711yescharacteristic
1194C2×SD16C23×C6711yescharacteristic
1195C2×SD16C23×C6711yescharacteristic
1196C2×SD16C23×C6711yescharacteristic
1197C2×SD16C23×C6711yescharacteristic
1198C2×SD16C23×C6711yescharacteristic
1199C2×SD16C23×C6711yescharacteristic
1200C2×SD16C23×C6711yescharacteristic
1201C2×SD16C23×C6711yescharacteristic
1202C2×SD16C23×C6711yescharacteristic
1203C2×SD16C23×C6711yescharacteristic
1204C2×SD16C23×C6711yescharacteristic
1205C2×D8C23×C6711yescharacteristic
1206C2×D8C23×C6711yescharacteristic
1207C2×D8C23×C6711yescharacteristic
1208C2×M16C23×C6711yescharacteristic
1209C2×M16C23×C6711yescharacteristic
1210C2×M16C23×C6711yescharacteristic
1211C2×M16C23×C6711yescharacteristic
1212C22×C8C23×C6711yescharacteristic
1213C22×C8C23×C6711yescharacteristic
1214C22×C8C23×C6711yescharacteristic
1215C22×C8C23×C6711yescharacteristic
1216C4⋊Q8—21no—
1217C4⋊Q8—21no—
1218C4⋊Q8—21no—
1219C4⋊Q8—21no—
1220C4⋊Q8—21no—
1221C4⋊Q8C23×C6711yescharacteristic
1222C4⋊Q8C23×C6711yescharacteristic
1223C4⋊Q8C23×C6711yescharacteristic
1224#127—21no—
1225#127—21no—
1226#127C23×C6711yescharacteristic
1227#126—21no—
1228#126—21no—
1229#126—21no—
1230#125—21no—
1231#125C23×C6711yescharacteristic
1232#124—21no—
1233#124—21no—
1234#124—21no—
1235#124—21no—
1236#124—21no—
1237#124—21no—
1238#124—21no—
1239#124—21no—
1240#124—21no—
1241#124C23×C6711yescharacteristic
1242#124C23×C6711yescharacteristic
1243#124C23×C6711yescharacteristic
1244#123—21no—
1245#123—21no—
1246#123—21no—
1247#123—21no—
1248#123—21no—
1249#123—21no—
1250#123—21no—
1251#123—21no—
1252#123—21no—
1253#123—21no—
1254#123—21no—
1255#123—21no—
1256#123—21no—
1257#123—21no—
1258#123—21no—
1259#123D4×C6711yescharacteristic
1260#123D4×C6711yescharacteristic
1261C22⋊Q8—21no—
1262C22⋊Q8—21no—
1263C22⋊Q8—21no—
1264C22⋊Q8—21no—
1265C22⋊Q8—21no—
1266C22⋊Q8—21no—
1267C22⋊Q8—21no—
1268C22⋊Q8—21no—
1269C22⋊Q8—21no—
1270C22⋊Q8—21no—
1271C22⋊Q8—21no—
1272C22⋊Q8—21no—
1273C22⋊Q8—21no—
1274C22⋊Q8—21no—
1275C22⋊Q8—21no—
1276C22⋊Q8—21no—
1277C22⋊Q8—21no—
1278C22⋊Q8D4×C6711yescharacteristic
1279C22⋊Q8D4×C6711yescharacteristic
1280C22⋊Q8C23×C6711yescharacteristic
1281C22⋊Q8C23×C6711yescharacteristic
1282C22⋊Q8C23×C6711yescharacteristic
1283C22⋊Q8C23×C6711yescharacteristic
1284C22⋊Q8C23×C6711yescharacteristic
1285C22⋊Q8C23×C6711yescharacteristic
1286C22⋊Q8C23×C6711yescharacteristic
1287C22⋊Q8C23×C6711yescharacteristic
1288C22⋊Q8C23×C6711yescharacteristic
1289#121—21no—
1290#121—21no—
1291#121—21no—
1292#121—21no—
1293#121—21no—
1294#121—21no—
1295#121—21no—
1296#121—21no—
1297#121—21no—
1298#121—21no—
1299#121—21no—
1300#121—21no—
1301#121—21no—
1302#121—21no—
1303#121—21no—
1304#121—21no—
1305#121—21no—
1306#121—21no—
1307#121D4×C6711yescharacteristic
1308#121D4×C6711yescharacteristic
1309#121C23×C6711yescharacteristic
1310#121C23×C6711yescharacteristic
1311#121C23×C6711yescharacteristic
1312#121C23×C6711yescharacteristic
1313#121C23×C6711yescharacteristic
1314#121C23×C6711yescharacteristic
1315#121C23×C6711yescharacteristic
1316#121C23×C6711yescharacteristic
1317#121C23×C6711yescharacteristic
1318#121C23×C6711yescharacteristic
1319#121C23×C6711yescharacteristic
1320#120—21no—
1321#120—21no—
1322#120—21no—
1323#120—21no—
1324#120—21no—
1325#120—21no—
1326#120—21no—
1327#120—21no—
1328#120D4×C6711yescharacteristic
1329#120D4×C6711yescharacteristic
1330C4×Q8—21no—
1331C4×Q8—21no—
1332C4×Q8C23×C6711yescharacteristic
1333C4×Q8C23×C6711yescharacteristic
1334C4×Q8C23×C6711yescharacteristic
1335C4×Q8C23×C6711yescharacteristic
1336C4×Q8C23×C6711yescharacteristic
1337C4×D4—21no—
1338C4×D4—21no—
1339C4×D4—21no—
1340C4×D4—21no—
1341C4×D4—21no—
1342C4×D4—21no—
1343C4×D4—21no—
1344C4×D4—21no—
1345C4×D4—21no—
1346C4×D4—21no—
1347C4×D4—21no—
1348C4×D4—21no—
1349C4×D4—21no—
1350C4×D4—21no—
1351C4×D4C23×C6711yescharacteristic
1352C4×D4C23×C6711yescharacteristic
1353C4×D4C23×C6711yescharacteristic
1354C4×D4C23×C6711yescharacteristic
1355C4×D4C23×C6711yescharacteristic
1356C4×D4C23×C6711yescharacteristic
1357C4×D4C23×C6711yescharacteristic
1358#117—21no—
1359#117—21no—
1360#117—21no—
1361#117—21no—
1362#117C23×C6711yescharacteristic
1363#117C23×C6711yescharacteristic
1364#117C23×C6711yescharacteristic
1365#117C23×C6711yescharacteristic
1366C2×C4⋊C4C23×C6711yescharacteristic
1367C2×C4⋊C4C23×C6711yescharacteristic
1368C2×C22⋊C4—21no—
1369C2×C22⋊C4—21no—
1370C2×C22⋊C4—21no—
1371#107C23×C6711yescharacteristic
1372#107C23×C6711yescharacteristic
1373#107C23×C6711yescharacteristic
1374#107C23×C6711yescharacteristic
1375#106C23×C6711yescharacteristic
1376#106C23×C6711yescharacteristic
1377#106C23×C6711yescharacteristic
1378#106C23×C6711yescharacteristic
1379C4⋊C8C23×C6711yescharacteristic
1380C4⋊C8C23×C6711yescharacteristic
1381C4⋊C8C23×C6711yescharacteristic
1382C4⋊C8C23×C6711yescharacteristic
1383#103C23×C6711yescharacteristic
1384#103C23×C6711yescharacteristic
1385#103C23×C6711yescharacteristic
1386#103C23×C6711yescharacteristic
1387#103C23×C6711yescharacteristic
1388#103C23×C6711yescharacteristic
1389#103C23×C6711yescharacteristic
1390#103C23×C6711yescharacteristic
1391#103C23×C6711yescharacteristic
1392#103C23×C6711yescharacteristic
1393#103C23×C6711yescharacteristic
1394#103C23×C6711yescharacteristic
1395#103C23×C6711yescharacteristic
1396#103C23×C6711yescharacteristic
1397#103C23×C6711yescharacteristic
1398#103C23×C6711yescharacteristic
1399#103C23×C6711yescharacteristic
1400#103C23×C6711yescharacteristic
1401#103C23×C6711yescharacteristic
1402#103C23×C6711yescharacteristic
1403#103C23×C6711yescharacteristic
1404#103C23×C6711yescharacteristic
1405#102C23×C6711yescharacteristic
1406#102C23×C6711yescharacteristic
1407#102C23×C6711yescharacteristic
1408#102C23×C6711yescharacteristic
1409#102C23×C6711yescharacteristic
1410#102C23×C6711yescharacteristic
1411#102C23×C6711yescharacteristic
1412#102C23×C6711yescharacteristic
1413#102C23×C6711yescharacteristic
1414#102C23×C6711yescharacteristic
1415C22⋊C8C23×C6711yescharacteristic
1416C22⋊C8C23×C6711yescharacteristic
1417C22⋊C8C23×C6711yescharacteristic
1418C22⋊C8C23×C6711yescharacteristic
1419C22⋊C8C23×C6711yescharacteristic
1420C22⋊C8C23×C6711yescharacteristic
1421C22⋊C8C23×C6711yescharacteristic
1422C22⋊C8C23×C6711yescharacteristic
1423C22⋊C8C23×C6711yescharacteristic
1424C22⋊C8C23×C6711yescharacteristic
1425C22⋊C8C23×C6711yescharacteristic
1426C22⋊C8C23×C6711yescharacteristic
1427#97C23×C6711yescharacteristic
1428#97C23×C6711yescharacteristic
1429C4×C8C23×C6711yescharacteristic
1430C4×C8C23×C6711yescharacteristic
1431C24—21no—
1432C24—21no—
1433C24C2×D4×C6711yescharacteristic
1434#41—22no—
1435#41—22no—
1436#41—41no—
1437#41—41no—
1438#41—41no—
1439#41—41no—
1440#41—41no—
1441#41—41no—
1442#41—44no—
1443#41—44no—
1444#41—41no—
1445#41—41no—
1446#41—41no—
1447#41—41no—
1448#41—44no—
1449#41—82no—
1450C2×Q8—22no—
1451C2×Q8—22no—
1452C2×Q8—21no—
1453C2×Q8—21no—
1454C2×Q8—21no—
1455C2×Q8—21no—
1456C2×Q8—21no—
1457C2×Q8—21no—
1458C2×Q8—21no—
1459C2×Q8—21no—
1460C2×Q8—21no—
1461C2×Q8—22no—
1462C2×Q8—22no—
1463C2×Q8—22no—
1464C2×Q8—22no—
1465C2×Q8—22no—
1466C2×Q8—22no—
1467C2×Q8—41no—
1468C2×Q8—41no—
1469C2×Q8—41no—
1470C2×Q8—41no—
1471C2×Q8—41no—
1472C2×Q8—41no—
1473C2×Q8—41no—
1474C2×Q8—41no—
1475C2×Q8—44no—
1476C2×Q8—44no—
1477C2×Q8—44no—
1478C2×Q8—44no—
1479C2×Q8C2×D4×C6711yescharacteristic
1480C2×Q8C24×C6711yescharacteristic
1481C2×Q8C24×C6711yescharacteristic
1482C2×Q8C24×C6711yescharacteristic
1483C2×Q8C24×C6711yescharacteristic
1484C2×Q8C24×C6711yescharacteristic
1485C2×Q8C24×C6711yescharacteristic
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—21no—
1489C2×D4—21no—
1490C2×D4—21no—
1491C2×D4—21no—
1492C2×D4—21no—
1493C2×D4—21no—
1494C2×D4—21no—
1495C2×D4—21no—
1496C2×D4—21no—
1497C2×D4—21no—
1498C2×D4—21no—
1499C2×D4—21no—
1500C2×D4—21no—
1501C2×D4—21no—
1502C2×D4—21no—
1503C2×D4—21no—
1504C2×D4—21no—
1505C2×D4—21no—
1506C2×D4—41no—
1507C2×D4—41no—
1508C2×D4—41no—
1509C2×D4—41no—
1510C2×D4—82no—
1511C2×D4—82no—
1512C2×D4C2×D4×C6711yescharacteristic
1513C2×D4C2×D4×C6711yescharacteristic
1514C2×D4C2×D4×C6711yescharacteristic
1515C2×D4C2×D4×C6711yescharacteristic
1516C2×D4C2×D4×C6711yescharacteristic
1517C2×D4C2×D4×C6711yescharacteristic
1518C2×D4C2×D4×C6711yescharacteristic
1519C2×D4C24×C6711yescharacteristic
1520C2×D4C24×C6711yescharacteristic
1521C2×D4C24×C6711yescharacteristic
1522C2×D4C24×C6711yescharacteristic
1523C22×C4—21no—
1524C22×C4—21no—
1525C22×C4—21no—
1526C22×C4—21no—
1527C22×C4—21no—
1528C22×C4—21no—
1529C22×C4—21no—
1530C22×C4—21no—
1531C22×C4—21no—
1532C22×C4—21no—
1533C22×C4—21no—
1534C22×C4—21no—
1535C22×C4—21no—
1536C22×C4—21no—
1537C22×C4—21no—
1538C22×C4—21no—
1539C22×C4—21no—
1540C22×C4—21no—
1541C22×C4—41no—
1542C22×C4—41no—
1543C22×C4—44no—
1544C22×C4C2×D4×C6711yescharacteristic
1545C22×C4C2×D4×C6711yescharacteristic
1546C22×C4C2×D4×C6711yescharacteristic
1547C22×C4C24×C6711yescharacteristic
1548C22×C4C24×C6711yescharacteristic
1549C22×C4C24×C6711yescharacteristic
1550C22×C4C24×C6711yescharacteristic
1551C22×C4C24×C6711yescharacteristic
1552Q16—22no—
1553Q16—22no—
1554Q16—41no—
1555Q16—41no—
1556Q16—41no—
1557SD16—22no—
1558SD16—22no—
1559SD16—22no—
1560SD16—22no—
1561SD16—22no—
1562SD16—22no—
1563SD16—41no—
1564SD16—41no—
1565SD16—41no—
1566SD16—41no—
1567SD16—41no—
1568SD16—41no—
1569SD16—41no—
1570SD16—41no—
1571SD16—41no—
1572SD16—41no—
1573D8—41no—
1574D8—41no—
1575D8—41no—
1576M16—41no—
1577M16—41no—
1578M16—41no—
1579M16—41no—
1580C2×C8—41no—
1581C2×C8—41no—
1582C2×C8—41no—
1583C2×C8—41no—
1584C2×C8C24×C6711yescharacteristic
1585C2×C8C24×C6711yescharacteristic
1586C2×C8C24×C6711yescharacteristic
1587C2×C8C24×C6711yescharacteristic
1588C2×C8C24×C6711yescharacteristic
1589C2×C8C24×C6711yescharacteristic
1590C2×C8C24×C6711yescharacteristic
1591C2×C8C24×C6711yescharacteristic
1592C4⋊C4—21no—
1593C4⋊C4—21no—
1594C4⋊C4—21no—
1595C4⋊C4—21no—
1596C4⋊C4—21no—
1597C4⋊C4—21no—
1598C4⋊C4—21no—
1599C4⋊C4—21no—
1600C4⋊C4—21no—
1601C4⋊C4—21no—
1602C4⋊C4—21no—
1603C4⋊C4—21no—
1604C4⋊C4—21no—
1605C4⋊C4—21no—
1606C4⋊C4—21no—
1607C4⋊C4—21no—
1608C4⋊C4—21no—
1609C4⋊C4—21no—
1610C4⋊C4—21no—
1611C4⋊C4—21no—
1612C4⋊C4—21no—
1613C4⋊C4—21no—
1614C4⋊C4—21no—
1615C4⋊C4C2×D4×C6711yescharacteristic
1616C4⋊C4C2×D4×C6711yescharacteristic
1617C4⋊C4C2×D4×C6711yescharacteristic
1618C4⋊C4C2×D4×C6711yescharacteristic
1619C4⋊C4C2×D4×C6711yescharacteristic
1620C4⋊C4C2×D4×C6711yescharacteristic
1621C4⋊C4C24×C6711yescharacteristic
1622C4⋊C4C24×C6711yescharacteristic
1623C4⋊C4C24×C6711yescharacteristic
1624C4⋊C4C24×C6711yescharacteristic
1625C4⋊C4C24×C6711yescharacteristic
1626C4⋊C4C24×C6711yescharacteristic
1627C22⋊C4—21no—
1628C22⋊C4—21no—
1629C22⋊C4—21no—
1630C22⋊C4—21no—
1631C22⋊C4—21no—
1632C22⋊C4—21no—
1633C22⋊C4—21no—
1634C22⋊C4—21no—
1635C22⋊C4—21no—
1636C22⋊C4—21no—
1637C22⋊C4—21no—
1638C22⋊C4—21no—
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—21no—
1644C22⋊C4—21no—
1645C22⋊C4—21no—
1646C22⋊C4—21no—
1647C22⋊C4—21no—
1648C22⋊C4—21no—
1649C22⋊C4—21no—
1650C22⋊C4—21no—
1651C22⋊C4—21no—
1652C22⋊C4—21no—
1653C22⋊C4—21no—
1654C22⋊C4—21no—
1655C22⋊C4—21no—
1656C22⋊C4—21no—
1657C22⋊C4—21no—
1658C22⋊C4—21no—
1659C22⋊C4C2×D4×C6711yescharacteristic
1660C22⋊C4C2×D4×C6711yescharacteristic
1661C22⋊C4C2×D4×C6711yescharacteristic
1662C22⋊C4C2×D4×C6711yescharacteristic
1663C22⋊C4C2×D4×C6711yescharacteristic
1664C22⋊C4C2×D4×C6711yescharacteristic
1665C22⋊C4C2×D4×C6711yescharacteristic
1666C22⋊C4C2×D4×C6711yescharacteristic
1667C22⋊C4C2×D4×C6711yescharacteristic
1668C22⋊C4C2×D4×C6711yescharacteristic
1669C42—21no—
1670C42—21no—
1671C42—21no—
1672C42—21no—
1673C42—21no—
1674C42—21no—
1675C42—21no—
1676C42—21no—
1677C42C24×C6711yescharacteristic
1678C42C24×C6711yescharacteristic
1679C23—22no—
1680C23—21no—
1681C23—21no—
1682C23—21no—
1683C23—21no—
1684C23—41no—
1685C23—41no—
1686C23—42no—
1687C23—81no—
1688C23—81no—
1689C23—81no—
1690C23—81no—
1691C23—81no—
1692C23C22×D4×C6711yescharacteristic
1693C23C22×D4×C6711yescharacteristic
1694C23C22×D4×C6711yescharacteristic
1695C23C22×D4×C6711yescharacteristic
1696C23C22×D4×C6711yescharacteristic
1697Q8—24no—
1698Q8—21no—
1699Q8—21no—
1700Q8—21no—
1701Q8—21no—
1702Q8—21no—
1703Q8—21no—
1704Q8—21no—
1705Q8—21no—
1706Q8—21no—
1707Q8—21no—
1708Q8—41no—
1709Q8—42no—
1710Q8—42no—
1711Q8—42no—
1712Q8—42no—
1713Q8—42no—
1714Q8—42no—
1715Q8—42no—
1716Q8—81no—
1717Q8H(5,𝔽2)×C6712yes—
1718Q8H(5,𝔽2)×C6712yes—
1719D4—22no—
1720D4—22no—
1721D4—21no—
1722D4—21no—
1723D4—21no—
1724D4—21no—
1725D4—21no—
1726D4—21no—
1727D4—21no—
1728D4—21no—
1729D4—41no—
1730D4—41no—
1731D4—41no—
1732D4—41no—
1733D4—41no—
1734D4—42no—
1735D4—42no—
1736D4—42no—
1737D4—42no—
1738D4—42no—
1739D4—42no—
1740D4—81no—
1741D4—81no—
1742D4—81no—
1743D4—81no—
1744D4—81no—
1745D4—81no—
1746D4—81no—
1747D4—81no—
1748D4—81no—
1749D4—81no—
1750D4—81no—
1751D4—81no—
1752D4—81no—
1753D4—81no—
1754C2×C4—24no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—41no—
1778C2×C4—41no—
1779C2×C4—41no—
1780C2×C4—42no—
1781C2×C4—42no—
1782C2×C4—42no—
1783C2×C4—42no—
1784C2×C4—42no—
1785C2×C4—42no—
1786C2×C4—42no—
1787C2×C4—42no—
1788C2×C4—42no—
1789C2×C4—42no—
1790C2×C4—42no—
1791C2×C4—81no—
1792C2×C4—81no—
1793C2×C4—81no—
1794C2×C4—81no—
1795C2×C4—81no—
1796C2×C4—81no—
1797C2×C4C22×D4×C6711yescharacteristic
1798C2×C4C22×D4×C6711yescharacteristic
1799C2×C4C22×D4×C6711yescharacteristic
1800C2×C4C22×D4×C6711yescharacteristic
1801C2×C4C22×D4×C6711yescharacteristic
1802C2×C4C22×D4×C6711yescharacteristic
1803C2×C4C22×D4×C6711yescharacteristic
1804C2×C4C22×D4×C6711yescharacteristic
1805C2×C4C22×D4×C6711yescharacteristic
1806C2×C4C25×C6711yescharacteristic
1807C8—21no—
1808C8—21no—
1809C8—21no—
1810C8—21no—
1811C8—21no—
1812C8—21no—
1813C8—21no—
1814C8—21no—
1815C22—21no—
1816C22—21no—
1817C22—21no—
1818C22—21no—
1819C22—21no—
1820C22—21no—
1821C22—21no—
1822C22—21no—
1823C22—21no—
1824C22—21no—
1825C22—21no—
1826C22—21no—
1827C22—21no—
1828C22—21no—
1829C22—44no—
1830C22—41no—
1831C22—41no—
1832C22—41no—
1833C22—41no—
1834C22—41no—
1835C22—41no—
1836C22—41no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
1840C22—41no—
1841C22—41no—
1842C22—162no—
1843C22—162no—
1844C22#577×C6712yes—
1845C22C23×D4×C6711yescharacteristic
1846C4—21no—
1847C4—21no—
1848C4—21no—
1849C4—21no—
1850C4—22no—
1851C4—22no—
1852C4—21no—
1853C4—21no—
1854C4—21no—
1855C4—21no—
1856C4—21no—
1857C4—41no—
1858C4—41no—
1859C4—41no—
1860C4—41no—
1861C4—41no—
1862C4—41no—
1863C4—41no—
1864C4—41no—
1865C4—41no—
1866C4—41no—
1867C4C2×H(5,𝔽2)×C6711yescharacteristic
1868C4C2×H(5,𝔽2)×C6711yescharacteristic
1869C2—22no—
1870C2—41no—
1871C2—41no—
1872C2—41no—
1873C2—41no—
1874C2—81no—
1875C2—81no—
1876C2—81no—
1877C2—81no—
1878C2C67×#348411yescharacteristic
1879C2C2×#577×C6711yescharacteristic
1880C2C67×#358611yescharacteristic
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×#3542C2semidirect
2. C67×#3486C2semidirect
3. C67×#3329C2semidirect
4. C67×#3326C2semidirect
5. C67×#3321C2semidirect
6. C67×#3320C2semidirect
7. C67×#3312C2semidirect
8. C67×#3308C2semidirect
9. C67×#3300C2semidirect
10. C67×#3298C2semidirect
11. C67×#3282C2semidirect
12. D4×SD16×C67C2semidirect
13. C67×#3278C2semidirect
14. C67×#3275C2semidirect
15. C67×#3271C2semidirect
16. C67×#3266C2semidirect
17. C67×#3266C2semidirect
18. C67×#3265C2semidirect
19. C67×#3225C2semidirect
20. C67×#3221C2semidirect
21. C67×#3201C2semidirect
22. C67×#3200C2semidirect
23. C67×#3194C2semidirect
24. C67×#3191C2semidirect
25. C67×#3126C2semidirect
26. C67×#3121C2semidirect
27. C67×#3013C2semidirect
28. C67×#3010C2semidirect
29. C67×#3004C2semidirect
30. C2×#448×C67C2semidirect
31. C67×#2976C2semidirect
32. C2×2−1+4×C67C22semidirect
33. C23×Q8×C67C22semidirect
34. C2×#137×C67C22semidirect
35. C2×#137×C67C22semidirect
36. C2×#137×C67C22semidirect
37. C2×AGL(1,ℤ/8)×C67C22semidirect
38. C2×#135×C67C22semidirect
41. C22×SD16×C67C22semidirect
52. D4×Q8×C67C22semidirect
53. D4×Q8×C67C22semidirect
54. D4×Q8×C67C22semidirect
58. #548×C67C22semidirect
59. #548×C67C22semidirect
60. #548×C67C22semidirect
73. #536×C67C22semidirect
74. #536×C67C22semidirect
82. #525×C67C22semidirect
84. #519×C67C22semidirect
85. #497×C67C22semidirect
86. #496×C67C22semidirect
87. #495×C67C22semidirect
88. #492×C67C22semidirect
89. #491×C67C22semidirect
90. #489×C67C22semidirect
91. #488×C67C22semidirect
92. #487×C67C22semidirect
93. #485×C67C22semidirect
94. #485×C67C22semidirect
95. #485×C67C22semidirect
96. #485×C67C22semidirect
97. #484×C67C22semidirect
98. #483×C67C22semidirect
99. #483×C67C22semidirect
101. #482×C67C22semidirect
102. #482×C67C22semidirect
103. #482×C67C22semidirect
104. #480×C67C22semidirect
105. #479×C67C22semidirect
106. #479×C67C22semidirect
107. #477×C67C22semidirect
108. #475×C67C22semidirect
109. #470×C67C22semidirect
111. #469×C67C22semidirect
113. #468×C67C22semidirect
114. #468×C67C22semidirect
115. #468×C67C22semidirect
116. #468×C67C22semidirect
117. #467×C67C22semidirect
118. #467×C67C22semidirect
121. #465×C67C22semidirect
122. #465×C67C22semidirect
123. #465×C67C22semidirect
124. #465×C67C22semidirect
125. #464×C67C22semidirect
126. #464×C67C22semidirect
127. #464×C67C22semidirect
128. #463×C67C22semidirect
129. #463×C67C22semidirect
130. #463×C67C22semidirect
131. #462×C67C22semidirect
132. #461×C67C22semidirect
133. #461×C67C22semidirect
134. #461×C67C22semidirect
135. #460×C67C22semidirect
136. #460×C67C22semidirect
137. #452×C67C22semidirect
138. #452×C67C22semidirect
139. #452×C67C22semidirect
140. #452×C67C22semidirect
141. #452×C67C22semidirect
142. #451×C67C22semidirect
143. #451×C67C22semidirect
144. #451×C67C22semidirect
145. #451×C67C22semidirect
146. #451×C67C22semidirect
148. #450×C67C22semidirect
149. #450×C67C22semidirect
151. #449×C67C22semidirect
152. #449×C67C22semidirect
153. #449×C67C22semidirect
154. #449×C67C22semidirect
155. #449×C67C22semidirect
156. #449×C67C22semidirect
163. #448×C67C22semidirect
164. #448×C67C22semidirect
165. #448×C67C22semidirect
166. #448×C67C22semidirect
167. #448×C67C22semidirect
168. #448×C67C22semidirect
169. #448×C67C22semidirect
170. #448×C67C22semidirect
171. #448×C67C22semidirect
173. #441×C67C22semidirect
174. #440×C67C22semidirect
175. #440×C67C22semidirect
176. #440×C67C22semidirect
177. C4×Q16×C67C22semidirect
178. C4×SD16×C67C22semidirect
179. C4×SD16×C67C22semidirect
180. C4×SD16×C67C22semidirect
181. #436×C67C22semidirect
182. #436×C67C22semidirect
184. #435×C67C22semidirect
185. #435×C67C22semidirect
186. #435×C67C22semidirect
188. C8×D4×C67C22semidirect
189. #433×C67C22semidirect
190. #433×C67C22semidirect
191. #419×C67C22semidirect
192. #419×C67C22semidirect
193. #419×C67C22semidirect
194. #417×C67C22semidirect
195. #416×C67C22semidirect
196. C2×#103×C67C22semidirect
197. C2×#103×C67C22semidirect
198. C2×#103×C67C22semidirect
199. #408×C67C22semidirect
200. #408×C67C22semidirect
201. #407×C67C22semidirect
202. C2×C22⋊C8×C67C22semidirect
928. #61611C67direct (N × H)
941. #3542C2×C67semidirect
942. #3486C2×C67semidirect
943. #3329C2×C67semidirect
944. #3326C2×C67semidirect
945. #3321C2×C67semidirect
946. #3320C2×C67semidirect
947. #3312C2×C67semidirect
948. #3308C2×C67semidirect
949. #3300C2×C67semidirect
950. #3298C2×C67semidirect
951. #3282C2×C67semidirect
952. D4×SD16C2×C67semidirect
953. #3278C2×C67semidirect
954. #3275C2×C67semidirect
955. #3271C2×C67semidirect
956. #3266C2×C67semidirect
957. #3266C2×C67semidirect
958. #3265C2×C67semidirect
959. #3225C2×C67semidirect
960. #3221C2×C67semidirect
961. #3201C2×C67semidirect
962. #3200C2×C67semidirect
963. #3194C2×C67semidirect
964. #3191C2×C67semidirect
965. #3126C2×C67semidirect
966. #3121C2×C67semidirect
967. #3013C2×C67semidirect
968. #3010C2×C67semidirect
969. #3004C2×C67semidirect
970. C2×#448C2×C67semidirect
971. #2976C2×C67semidirect
972. C67#61611direct (N × H)
973. C2×2−1+4C22×C67semidirect
974. C23×Q8C22×C67semidirect
975. C2×#137C22×C67semidirect
976. C2×#137C22×C67semidirect
977. C2×#137C22×C67semidirect
978. C2×AGL(1,ℤ/8)C22×C67semidirect
979. C2×#135C22×C67semidirect
982. C22×SD16C22×C67semidirect
993. D4×Q8C22×C67semidirect
994. D4×Q8C22×C67semidirect
995. D4×Q8C22×C67semidirect
999. #548C22×C67semidirect
1000. #548C22×C67semidirect
1001. #548C22×C67semidirect
1014. #536C22×C67semidirect
1015. #536C22×C67semidirect
1023. #525C22×C67semidirect
1025. #519C22×C67semidirect
1026. #497C22×C67semidirect
1027. #496C22×C67semidirect
1028. #495C22×C67semidirect
1029. #492C22×C67semidirect
1030. #491C22×C67semidirect
1031. #489C22×C67semidirect
1032. #488C22×C67semidirect
1033. #487C22×C67semidirect
1034. #485C22×C67semidirect
1035. #485C22×C67semidirect
1036. #485C22×C67semidirect
1037. #485C22×C67semidirect
1038. #484C22×C67semidirect
1039. #483C22×C67semidirect
1040. #483C22×C67semidirect
1042. #482C22×C67semidirect
1043. #482C22×C67semidirect
1044. #482C22×C67semidirect
1045. #480C22×C67semidirect
1046. #479C22×C67semidirect
1047. #479C22×C67semidirect
1048. #477C22×C67semidirect
1049. #475C22×C67semidirect
1050. #470C22×C67semidirect
1052. #469C22×C67semidirect
1054. #468C22×C67semidirect
1055. #468C22×C67semidirect
1056. #468C22×C67semidirect
1057. #468C22×C67semidirect
1058. #467C22×C67semidirect
1059. #467C22×C67semidirect
1062. #465C22×C67semidirect
1063. #465C22×C67semidirect
1064. #465C22×C67semidirect
1065. #465C22×C67semidirect
1066. #464C22×C67semidirect
1067. #464C22×C67semidirect
1068. #464C22×C67semidirect
1069. #463C22×C67semidirect
1070. #463C22×C67semidirect
1071. #463C22×C67semidirect
1072. #462C22×C67semidirect
1073. #461C22×C67semidirect
1074. #461C22×C67semidirect
1075. #461C22×C67semidirect
1076. #460C22×C67semidirect
1077. #460C22×C67semidirect
1078. #452C22×C67semidirect
1079. #452C22×C67semidirect
1080. #452C22×C67semidirect
1081. #452C22×C67semidirect
1082. #452C22×C67semidirect
1083. #451C22×C67semidirect
1084. #451C22×C67semidirect
1085. #451C22×C67semidirect
1086. #451C22×C67semidirect
1087. #451C22×C67semidirect
1089. #450C22×C67semidirect
1090. #450C22×C67semidirect
1092. #449C22×C67semidirect
1093. #449C22×C67semidirect
1094. #449C22×C67semidirect
1095. #449C22×C67semidirect
1096. #449C22×C67semidirect
1097. #449C22×C67semidirect
1104. #448C22×C67semidirect
1105. #448C22×C67semidirect
1106. #448C22×C67semidirect
1107. #448C22×C67semidirect
1108. #448C22×C67semidirect
1109. #448C22×C67semidirect
1110. #448C22×C67semidirect
1111. #448C22×C67semidirect
1112. #448C22×C67semidirect
1114. #441C22×C67semidirect
1115. #440C22×C67semidirect
1116. #440C22×C67semidirect
1117. #440C22×C67semidirect
1118. C4×Q16C22×C67semidirect
1119. C4×SD16C22×C67semidirect
1120. C4×SD16C22×C67semidirect
1121. C4×SD16C22×C67semidirect
1122. #436C22×C67semidirect
1123. #436C22×C67semidirect
1125. #435C22×C67semidirect
1126. #435C22×C67semidirect
1127. #435C22×C67semidirect
1129. C8×D4C22×C67semidirect
1130. #433C22×C67semidirect
1131. #433C22×C67semidirect
1132. #419C22×C67semidirect
1133. #419C22×C67semidirect
1134. #419C22×C67semidirect
1135. #417C22×C67semidirect
1136. #416C22×C67semidirect
1137. C2×#103C22×C67semidirect
1138. C2×#103C22×C67semidirect
1139. C2×#103C22×C67semidirect
1140. #408C22×C67semidirect
1141. #408C22×C67semidirect
1142. #407C22×C67semidirect
1143. 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×#35422
C67×#34862
C67×#33292
C67×#33262
C67×#33212
C67×#33202
C67×#33122
C67×#33082
C67×#33002
C67×#32982
C67×#32822
D4×SD16×C672
C67×#32782
C67×#32752
C67×#32712
C67×#32662
C67×#32652
C67×#32252
C67×#32212
C67×#32012
C67×#32002
C67×#31942
C67×#31912
C67×#31262
C67×#31212
C67×#30132
C67×#30102
C67×#30042
C2×#448×C672
C67×#29762
#6161167