Finite Group Databasebeta

← C67×#61681 #30740932

Subgroups — C67×#61681 #30740932

Order 17152.

2036 conjugacy classes of subgroups.

The subgroup lattice has 1864 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C67×#3551C211yesmaximal, characteristic, complemented
2C67×#3497C211yesmaximal, characteristic, complemented
3C67×#3327C211yesmaximal, characteristic, complemented
4C67×#3326C211yesmaximal, characteristic, complemented
5C67×#3320C211yesmaximal, characteristic, complemented
6C67×#3317C211yesmaximal, characteristic, complemented
7C67×#3312C211yesmaximal, characteristic, complemented
8C67×#3309C211yesmaximal, characteristic, complemented
9C67×#3301C211yesmaximal, characteristic, complemented
10C67×#3300C211yesmaximal, characteristic, complemented
11C67×#3285C211yesmaximal, characteristic, complemented
12C67×#3282C211yesmaximal, characteristic, complemented
13C67×#3277C211yesmaximal, characteristic, complemented
14C67×#3275C211yesmaximal, characteristic, complemented
15C67×#3271C211yesmaximal, characteristic, complemented
16C67×#3270C211yesmaximal, characteristic, complemented
17C67×#3268C211yesmaximal, characteristic, complemented
18C67×#3266C211yesmaximal, characteristic, complemented
19C67×#3219C211yesmaximal, characteristic, complemented
20C67×#3212C211yesmaximal, characteristic, complemented
21C67×#3204C211yesmaximal, characteristic, complemented
22C67×#3203C211yesmaximal, characteristic, complemented
23C67×#3201C211yesmaximal, characteristic, complemented
24C67×#3198C211yesmaximal, characteristic, complemented
25C67×#3117C211yesmaximal, characteristic, complemented
26C67×#3108C211yesmaximal, characteristic, complemented
27C67×#3013C211yesmaximal, characteristic, complemented
28C67×#3013C211yesmaximal, characteristic, complemented
29C67×#3011C211yesmaximal, characteristic, complemented
30C67×#3010C211yesmaximal, characteristic, complemented
31C67×#2981C211yesmaximal, characteristic, complemented
32C2×2−1+4×C67C2211yescharacteristic
33C2×2−1+4×C67C2211yescharacteristic, complemented
34C2×#137×C67C2211yescharacteristic
35C2×#137×C67C2211yescharacteristic
36C2×#137×C67C2211yescharacteristic, complemented
37C2×AGL(1,ℤ/8)×C67C2211yescharacteristic
38C2×#135×C67C2211yescharacteristic
39C2×#135×C67C2211yescharacteristic
40C22×Q16×C67C2211yescharacteristic, complemented
41C22×SD16×C67C2211yescharacteristic
42#563×C67—21no—
43#560×C67—21no—
44#555×C67—21no—
45#553×C67C2211yescharacteristic
46#553×C67C2211yescharacteristic
47#552×C67C2211yescharacteristic
48#552×C67C2211yescharacteristic
49#551×C67—21no—
50#550×C67—21no—
51#550×C67C2211yescharacteristic
52#550×C67C2211yescharacteristic, complemented
53D4×Q8×C67—21no—
54D4×Q8×C67C2211yescharacteristic
55D4×Q8×C67C2211yescharacteristic, complemented
56#548×C67—21no—
57#548×C67—21no—
58#548×C67C2211yescharacteristic
59#548×C67C2211yescharacteristic
60#548×C67C2211yescharacteristic
61#548×C67C2211yescharacteristic
62#548×C67C2211yescharacteristic, complemented
63#548×C67C2211yescharacteristic, complemented
64#546×C67C2211yescharacteristic
65#546×C67C2211yescharacteristic
66#540×C67—21no—
67#540×C67—21no—
68#538×C67—21no—
69#538×C67—21no—
70#537×C67—21no—
71#537×C67—21no—
72#537×C67C2211yescharacteristic
73#537×C67C2211yescharacteristic
74#537×C67C2211yescharacteristic
75#537×C67C2211yescharacteristic, complemented
76#536×C67C2211yescharacteristic
77#535×C67C2211yescharacteristic
78#532×C67—21no—
79#532×C67—21no—
80#532×C67C2211yescharacteristic
81#532×C67C2211yescharacteristic, complemented
82#529×C67C2211yescharacteristic
83#529×C67C2211yescharacteristic
84C2×C4×Q8×C67C2211yescharacteristic, complemented
85#497×C67C2211yescharacteristic
86#496×C67C2211yescharacteristic
87#495×C67C2211yescharacteristic
88#495×C67C2211yescharacteristic
89#491×C67C2211yescharacteristic, complemented
90#490×C67C2211yescharacteristic, complemented
91#488×C67C2211yescharacteristic, complemented
92#488×C67C2211yescharacteristic, complemented
93#485×C67C2211yescharacteristic
94#485×C67C2211yescharacteristic, complemented
95#484×C67C2211yescharacteristic, complemented
96#484×C67C2211yescharacteristic, complemented
97#483×C67C2211yescharacteristic, complemented
98#483×C67C2211yescharacteristic, complemented
99#482×C67C2211yescharacteristic
100#482×C67C2211yescharacteristic, complemented
101#481×C67C2211yescharacteristic
102#481×C67C2211yescharacteristic, complemented
103#480×C67C2211yescharacteristic
104#480×C67C2211yescharacteristic, complemented
105#479×C67C2211yescharacteristic, complemented
106#479×C67C2211yescharacteristic, complemented
107#479×C67C2211yescharacteristic, complemented
108#479×C67C2211yescharacteristic, complemented
109#470×C67C2211yescharacteristic
110#470×C67C2211yescharacteristic, complemented
111#469×C67C2211yescharacteristic
112#469×C67C2211yescharacteristic
113#468×C67C2211yescharacteristic
114#468×C67C2211yescharacteristic
115#468×C67C2211yescharacteristic
116#468×C67C2211yescharacteristic, complemented
117#467×C67C2211yescharacteristic
118#467×C67C2211yescharacteristic, complemented
119#466×C67C2211yescharacteristic
120#466×C67C2211yescharacteristic
121#465×C67C2211yescharacteristic
122#465×C67C2211yescharacteristic
123#465×C67C2211yescharacteristic
124#465×C67C2211yescharacteristic, complemented
125#464×C67C2211yescharacteristic
126#464×C67C2211yescharacteristic
127#464×C67C2211yescharacteristic
128#464×C67C2211yescharacteristic
129#464×C67C2211yescharacteristic, complemented
130#464×C67C2211yescharacteristic, complemented
131#463×C67C2211yescharacteristic
132#463×C67C2211yescharacteristic
133#462×C67C2211yescharacteristic, complemented
134#461×C67C2211yescharacteristic
135#460×C67C2211yescharacteristic, complemented
136#459×C67C2211yescharacteristic
137#452×C67C2211yescharacteristic
138#452×C67C2211yescharacteristic
139#452×C67C2211yescharacteristic
140#452×C67C2211yescharacteristic
141#452×C67C2211yescharacteristic, complemented
142#452×C67C2211yescharacteristic, complemented
143#452×C67C2211yescharacteristic, complemented
144#452×C67C2211yescharacteristic, complemented
145#452×C67C2211yescharacteristic, complemented
146#452×C67C2211yescharacteristic, complemented
147#451×C67C2211yescharacteristic
148#451×C67C2211yescharacteristic
149#451×C67C2211yescharacteristic, complemented
150#451×C67C2211yescharacteristic, complemented
151#451×C67C2211yescharacteristic, complemented
152#451×C67C2211yescharacteristic, complemented
153#451×C67C2211yescharacteristic, complemented
154#450×C67C2211yescharacteristic
155#449×C67C2211yescharacteristic
156#449×C67C2211yescharacteristic
157#449×C67C2211yescharacteristic
158#449×C67C2211yescharacteristic
159#449×C67C2211yescharacteristic
160#449×C67C2211yescharacteristic
161#449×C67C2211yescharacteristic
162#449×C67C2211yescharacteristic
163#449×C67C2211yescharacteristic
164#449×C67C2211yescharacteristic
165#448×C67C2211yescharacteristic
166#448×C67C2211yescharacteristic
167#448×C67C2211yescharacteristic
168#448×C67C2211yescharacteristic
169#448×C67C2211yescharacteristic
170#448×C67C2211yescharacteristic
171#448×C67C2211yescharacteristic, complemented
172#447×C67C2211yescharacteristic
173#441×C67C2211yescharacteristic, complemented
174#441×C67C2211yescharacteristic, complemented
175#440×C67C2211yescharacteristic
176#440×C67C2211yescharacteristic
177C4×Q16×C67C2211yescharacteristic, complemented
178C4×Q16×C67C2211yescharacteristic, complemented
179C4×SD16×C67C2211yescharacteristic
180C4×SD16×C67C2211yescharacteristic
181#436×C67C2211yescharacteristic
182#436×C67C2211yescharacteristic, complemented
183#435×C67C2211yescharacteristic
184#435×C67C2211yescharacteristic
185#435×C67C2211yescharacteristic, complemented
186#435×C67C2211yescharacteristic, complemented
187C8×D4×C67C2211yescharacteristic
188C8×D4×C67C2211yescharacteristic, complemented
189#432×C67C2211yescharacteristic, complemented
190#431×C67C2211yescharacteristic, complemented
191#419×C67C2211yescharacteristic
192#419×C67C2211yescharacteristic, complemented
193#417×C67C2211yescharacteristic, complemented
194#417×C67C2211yescharacteristic, complemented
195#416×C67C2211yescharacteristic
196#416×C67C2211yescharacteristic, complemented
197C2×#103×C67C2211yescharacteristic, complemented
198C2×#103×C67C2211yescharacteristic, complemented
199#408×C67C2211yescharacteristic
200#408×C67C2211yescharacteristic
201#408×C67C2211yescharacteristic, complemented
202#408×C67C2211yescharacteristic, complemented
2032−1+4×C67—42no—
2042−1+4×C67—42no—
2052−1+4×C67—42no—
2062−1+4×C67—42no—
207C2×#41×C67—21no—
208C2×#41×C67—21no—
209C2×#41×C67—21no—
210C2×#41×C67—21no—
211C2×#41×C67—21no—
212C2×#41×C67—21no—
213C2×#41×C67C2311yescharacteristic
214C2×#41×C67C2311yescharacteristic
215C2×#41×C67C2311yescharacteristic
216C2×#41×C67C2311yescharacteristic
217C2×#41×C67C2311yescharacteristic
218C2×#41×C67C2311yescharacteristic
219C2×#41×C67C2311yescharacteristic
220C2×#41×C67C2311yescharacteristic
221C2×#41×C67C2311yescharacteristic
222C2×#41×C67C2311yescharacteristic
223C22×Q8×C67—21no—
224C22×Q8×C67—21no—
225C22×Q8×C67C2311yescharacteristic
226C22×Q8×C67C2311yescharacteristic
227C22×Q8×C67C2311yescharacteristic
228C22×Q8×C67C2311yescharacteristic
229C22×Q8×C67C2311yescharacteristic
230C22×Q8×C67C2311yescharacteristic
231C22×D4×C67C2311yescharacteristic
232#137×C67—42no—
233#137×C67—42no—
234#137×C67—42no—
235AGL(1,ℤ/8)×C67—42no—
236#135×C67—42no—
237#135×C67—42no—
238C2×Q16×C67—42no—
239C2×Q16×C67C2311yescharacteristic
240C2×Q16×C67C2311yescharacteristic
241C2×Q16×C67C2311yescharacteristic
242C2×Q16×C67C2311yescharacteristic
243C2×Q16×C67C2311yescharacteristic
244C2×Q16×C67C2311yescharacteristic
245C2×Q16×C67C2311yescharacteristic
246C2×Q16×C67C2311yescharacteristic
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×D8×C67C2311yescharacteristic
261C2×D8×C67C2311yescharacteristic
262C2×D8×C67C2311yescharacteristic
263C2×D8×C67C2311yescharacteristic
264C2×M16×C67C2311yescharacteristic
265C2×M16×C67C2311yescharacteristic
266C2×M16×C67C2311yescharacteristic
267C2×M16×C67C2311yescharacteristic
268C22×C8×C67C2311yescharacteristic
269C22×C8×C67C2311yescharacteristic
270C22×C8×C67C2311yescharacteristic
271C22×C8×C67C2311yescharacteristic
272C4⋊Q8×C67—21no—
273C4⋊Q8×C67—21no—
274C4⋊Q8×C67—21no—
275C4⋊Q8×C67D411yescharacteristic
276C4⋊Q8×C67C2311yescharacteristic
277#127×C67—21no—
278#127×C67—21no—
279#127×C67—21no—
280#127×C67D411yescharacteristic
281#127×C67C2311yescharacteristic
282#126×C67—21no—
283#126×C67—21no—
284#126×C67—21no—
285#126×C67—21no—
286#126×C67—21no—
287#126×C67—21no—
288#125×C67—21no—
289#125×C67—21no—
290#125×C67C2311yescharacteristic
291#125×C67C2311yescharacteristic
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×C67D411yescharacteristic
301#124×C67D411yescharacteristic
302#124×C67C2311yescharacteristic
303#124×C67C2311yescharacteristic
304#124×C67C2311yescharacteristic
305#124×C67C2311yescharacteristic
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—
316C22⋊Q8×C67—21no—
317C22⋊Q8×C67—21no—
318C22⋊Q8×C67—21no—
319C22⋊Q8×C67—21no—
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×C67C2311yescharacteristic
331C22⋊Q8×C67C2311yescharacteristic
332C22⋊Q8×C67C2311yescharacteristic
333C22⋊Q8×C67C2311yescharacteristic
334C22⋊Q8×C67C2311yescharacteristic
335C22⋊Q8×C67C2311yescharacteristic
336C22⋊Q8×C67C2311yescharacteristic
337C22⋊Q8×C67C2311yescharacteristic
338C22⋊Q8×C67C2311yescharacteristic
339C22⋊Q8×C67C2311yescharacteristic
340#121×C67—21no—
341#121×C67—21no—
342#121×C67—21no—
343#121×C67—21no—
344#121×C67—21no—
345#121×C67—21no—
346#121×C67—21no—
347#121×C67—21no—
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×C67—21no—
367#121×C67—21no—
368#121×C67D411yescharacteristic
369#121×C67D411yescharacteristic
370#121×C67D411yescharacteristic
371#121×C67D411yescharacteristic
372#121×C67C2311yescharacteristic
373#121×C67C2311yescharacteristic
374#121×C67C2311yescharacteristic
375#121×C67C2311yescharacteristic
376#121×C67C2311yescharacteristic
377#121×C67C2311yescharacteristic
378#121×C67C2311yescharacteristic
379#121×C67C2311yescharacteristic
380#121×C67C2311yescharacteristic
381#121×C67C2311yescharacteristic
382#120×C67—21no—
383#120×C67—21no—
384#120×C67—21no—
385#120×C67—21no—
386C4×Q8×C67—21no—
387C4×Q8×C67—21no—
388C4×Q8×C67C2311yescharacteristic
389C4×Q8×C67C2311yescharacteristic
390C4×Q8×C67C2311yescharacteristic
391C4×Q8×C67C2311yescharacteristic
392C4×Q8×C67C2311yescharacteristic
393C4×Q8×C67C2311yescharacteristic
394C4×D4×C67—21no—
395C4×D4×C67—21no—
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
416#117×C67—21no—
417#117×C67—21no—
418#117×C67—21no—
419#117×C67—21no—
420#117×C67C2311yescharacteristic
421#117×C67C2311yescharacteristic
422C2×C4⋊C4×C67—21no—
423C2×C4⋊C4×C67C2311yescharacteristic
424C2×C4⋊C4×C67C2311yescharacteristic
425C2×C4⋊C4×C67C2311yescharacteristic
426C2×C22⋊C4×C67—21no—
427C2×C22⋊C4×C67—21no—
428C2×C42×C67—21no—
429C2×C42×C67C2311yescharacteristic
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#102×C67C2311yescharacteristic
463#102×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—
491#41×C67—22no—
492#41×C67—22no—
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—41no—
502#41×C67—41no—
503#41×C67—41no—
504#41×C67—41no—
505#41×C67—41no—
506#41×C67—41no—
507#41×C67—44no—
508#41×C67—44no—
509#41×C67—44no—
510#41×C67—44no—
511#41×C67—41no—
512#41×C67—41no—
513#41×C67—41no—
514#41×C67—41no—
515#41×C67—44no—
516#41×C67—44no—
517C2×Q8×C67—22no—
518C2×Q8×C67—22no—
519C2×Q8×C67—21no—
520C2×Q8×C67—21no—
521C2×Q8×C67—21no—
522C2×Q8×C67—21no—
523C2×Q8×C67—21no—
524C2×Q8×C67—21no—
525C2×Q8×C67—22no—
526C2×Q8×C67—22no—
527C2×Q8×C67—22no—
528C2×Q8×C67—22no—
529C2×Q8×C67—41no—
530C2×Q8×C67—41no—
531C2×Q8×C67—41no—
532C2×Q8×C67—41no—
533C2×Q8×C67—41no—
534C2×Q8×C67—41no—
535C2×Q8×C67—44no—
536C2×Q8×C67—44no—
537C2×Q8×C67C2×D411yescharacteristic
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—21no—
566C2×D4×C67—41no—
567C2×D4×C67—41no—
568C2×D4×C67C2×D411yescharacteristic
569C2×D4×C67C2×D411yescharacteristic
570C2×D4×C67C2×D411yescharacteristic
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—21no—
601C22×C4×C67C2×D411yescharacteristic
602C22×C4×C67C2×D411yescharacteristic
603C22×C4×C67C2411yescharacteristic
604C22×C4×C67C2411yescharacteristic
605C22×C4×C67C2411yescharacteristic
606C22×C4×C67C2411yescharacteristic
607C22×C4×C67C2411yescharacteristic
608Q16×C67—22no—
609Q16×C67—22no—
610Q16×C67—22no—
611Q16×C67—22no—
612Q16×C67—41no—
613Q16×C67—41no—
614Q16×C67—41no—
615Q16×C67—41no—
616SD16×C67—22no—
617SD16×C67—22no—
618SD16×C67—22no—
619SD16×C67—22no—
620SD16×C67—41no—
621SD16×C67—41no—
622SD16×C67—41no—
623SD16×C67—41no—
624SD16×C67—41no—
625SD16×C67—41no—
626SD16×C67—41no—
627SD16×C67—41no—
628D8×C67—41no—
629D8×C67—41no—
630D8×C67—41no—
631D8×C67—41no—
632M16×C67—41no—
633M16×C67—41no—
634M16×C67—41no—
635M16×C67—41no—
636C2×C8×C67—41no—
637C2×C8×C67—41no—
638C2×C8×C67—41no—
639C2×C8×C67—41no—
640C2×C8×C67C2411yescharacteristic
641C2×C8×C67C2411yescharacteristic
642C2×C8×C67C2411yescharacteristic
643C2×C8×C67C2411yescharacteristic
644C2×C8×C67C2411yescharacteristic
645C2×C8×C67C2411yescharacteristic
646C2×C8×C67C2411yescharacteristic
647C2×C8×C67C2411yescharacteristic
648C4⋊C4×C67—21no—
649C4⋊C4×C67—21no—
650C4⋊C4×C67—21no—
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×C67C2×D411yescharacteristic
674C4⋊C4×C67C2×D411yescharacteristic
675C4⋊C4×C67C2×D411yescharacteristic
676C4⋊C4×C67C2×D411yescharacteristic
677C4⋊C4×C67C2411yescharacteristic
678C4⋊C4×C67C2411yescharacteristic
679C4⋊C4×C67C2411yescharacteristic
680C4⋊C4×C67C2411yescharacteristic
681C4⋊C4×C67C2411yescharacteristic
682C4⋊C4×C67C2411yescharacteristic
683C22⋊C4×C67—21no—
684C22⋊C4×C67—21no—
685C22⋊C4×C67—21no—
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×C67C2×D411yescharacteristic
716C22⋊C4×C67C2×D411yescharacteristic
717C22⋊C4×C67C2×D411yescharacteristic
718C22⋊C4×C67C2×D411yescharacteristic
719C22⋊C4×C67C2×D411yescharacteristic
720C22⋊C4×C67C2×D411yescharacteristic
721C22⋊C4×C67C2×D411yescharacteristic
722C22⋊C4×C67C2×D411yescharacteristic
723C42×C67—21no—
724C42×C67—21no—
725C42×C67—21no—
726C42×C67—21no—
727C42×C67—21no—
728C42×C67—21no—
729C42×C67—21no—
730C42×C67—21no—
731C42×C67C2×D411yescharacteristic
732C42×C67C2×D411yescharacteristic
733C42×C67C2411yescharacteristic
734C42×C67C2411yescharacteristic
735C23×C67—21no—
736C23×C67—21no—
737C23×C67—21no—
738C23×C67—21no—
739C23×C67—81no—
740C23×C67—81no—
741C23×C67—81no—
742C23×C67C22×D411yescharacteristic
743C23×C67C22×D411yescharacteristic
744C23×C67C22×D411yescharacteristic
745C23×C67C22×D411yescharacteristic
746C23×C67C22×D411yescharacteristic
747Q8×C67—24no—
748Q8×C67—21no—
749Q8×C67—21no—
750Q8×C67—21no—
751Q8×C67—21no—
752Q8×C67—21no—
753Q8×C67—21no—
754Q8×C67—21no—
755Q8×C67—21no—
756Q8×C67—21no—
757Q8×C67—21no—
758Q8×C67—41no—
759Q8×C67—41no—
760Q8×C67—42no—
761Q8×C67—42no—
762Q8×C67—42no—
763Q8×C67—42no—
764Q8×C67—81no—
765Q8×C67H(5,𝔽2)12yes—
766Q8×C67H(5,𝔽2)12yes—
767D4×C67—21no—
768D4×C67—21no—
769D4×C67—21no—
770D4×C67—21no—
771D4×C67—21no—
772D4×C67—21no—
773D4×C67—21no—
774D4×C67—21no—
775D4×C67—41no—
776D4×C67—41no—
777D4×C67—41no—
778D4×C67—41no—
779D4×C67—41no—
780D4×C67—41no—
781D4×C67—41no—
782D4×C67—41no—
783D4×C67—41no—
784D4×C67—41no—
785D4×C67—42no—
786D4×C67—42no—
787D4×C67—42no—
788D4×C67—42no—
789D4×C67—42no—
790D4×C67—42no—
791D4×C67—42no—
792D4×C67—81no—
793D4×C67—81no—
794D4×C67—81no—
795D4×C67—81no—
796D4×C67—81no—
797D4×C67—81no—
798D4×C67—81no—
799D4×C67—81no—
800D4×C67—81no—
801D4×C67—81no—
802D4×C67—81no—
803D4×C67—81no—
804D4×C67—81no—
805D4×C67—81no—
806C2×C4×C67—24no—
807C2×C4×C67—21no—
808C2×C4×C67—21no—
809C2×C4×C67—21no—
810C2×C4×C67—21no—
811C2×C4×C67—21no—
812C2×C4×C67—21no—
813C2×C4×C67—21no—
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—41no—
830C2×C4×C67—41no—
831C2×C4×C67—42no—
832C2×C4×C67—42no—
833C2×C4×C67—42no—
834C2×C4×C67—42no—
835C2×C4×C67—42no—
836C2×C4×C67—42no—
837C2×C4×C67—42no—
838C2×C4×C67—42no—
839C2×C4×C67—42no—
840C2×C4×C67—42no—
841C2×C4×C67—81no—
842C2×C4×C67—81no—
843C2×C4×C67—81no—
844C2×C4×C67—81no—
845C2×C4×C67—81no—
846C2×C4×C67—81no—
847C2×C4×C67—81no—
848C2×C4×C67—81no—
849C2×C4×C67C22×D411yescharacteristic
850C2×C4×C67C22×D411yescharacteristic
851C2×C4×C67C22×D411yescharacteristic
852C2×C4×C67C22×D411yescharacteristic
853C2×C4×C67C22×D411yescharacteristic
854C2×C4×C67C22×D411yescharacteristic
855C2×C4×C67C22×D411yescharacteristic
856C2×C4×C67C22×D411yescharacteristic
857C2×C4×C67C22×D411yescharacteristic
858C2×C4×C67C2511yescharacteristic
859C8×C67—21no—
860C8×C67—21no—
861C8×C67—21no—
862C8×C67—21no—
863C8×C67—21no—
864C8×C67—21no—
865C8×C67—21no—
866C8×C67—21no—
867C22×C67—21no—
868C22×C67—21no—
869C22×C67—21no—
870C22×C67—21no—
871C22×C67—21no—
872C22×C67—21no—
873C22×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—41no—
883C22×C67—41no—
884C22×C67—41no—
885C22×C67—41no—
886C22×C67—41no—
887C22×C67—41no—
888C22×C67—41no—
889C22×C67—41no—
890C22×C67—41no—
891C22×C67—41no—
892C22×C67—41no—
893C22×C67—41no—
894C22×C67—162no—
895C22×C67C23×D411yescharacteristic
896C4×C67—21no—
897C4×C67—21no—
898C4×C67—21no—
899C4×C67—21no—
900C4×C67—22no—
901C4×C67—22no—
902C4×C67—21no—
903C4×C67—21no—
904C4×C67—21no—
905C4×C67—21no—
906C4×C67—21no—
907C4×C67—41no—
908C4×C67—41no—
909C4×C67—41no—
910C4×C67—41no—
911C4×C67—41no—
912C4×C67—41no—
913C4×C67—41no—
914C4×C67—41no—
915C4×C67—41no—
916C4×C67—41no—
917C4×C67C2×H(5,𝔽2)11yescharacteristic
918C4×C67C2×H(5,𝔽2)11yescharacteristic
919#61681C6711yesmaximal, characteristic, direct product factor, Sylow
920C2×C67—41no—
921C2×C67—41no—
922C2×C67—41no—
923C2×C67—41no—
924C2×C67—41no—
925C2×C67—81no—
926C2×C67—81no—
927C2×C67—81no—
928C2×C67—81no—
929C2×C67#348411yescharacteristic
930C2×C67#358411yescharacteristic
931C2×C67#358611yescharacteristic
932#3551C2×C6711yescharacteristic, complemented
933#3497C2×C6711yescharacteristic, complemented
934#3327C2×C6711yescharacteristic, complemented
935#3326C2×C6711yescharacteristic, complemented
936#3320C2×C6711yescharacteristic, complemented
937#3317C2×C6711yescharacteristic, complemented
938#3312C2×C6711yescharacteristic, complemented
939#3309C2×C6711yescharacteristic, complemented
940#3301C2×C6711yescharacteristic, complemented
941#3300C2×C6711yescharacteristic, complemented
942#3285C2×C6711yescharacteristic, complemented
943#3282C2×C6711yescharacteristic, complemented
944#3277C2×C6711yescharacteristic, complemented
945#3275C2×C6711yescharacteristic, complemented
946#3271C2×C6711yescharacteristic, complemented
947#3270C2×C6711yescharacteristic, complemented
948#3268C2×C6711yescharacteristic, complemented
949#3266C2×C6711yescharacteristic, complemented
950#3219C2×C6711yescharacteristic, complemented
951#3212C2×C6711yescharacteristic, complemented
952#3204C2×C6711yescharacteristic, complemented
953#3203C2×C6711yescharacteristic, complemented
954#3201C2×C6711yescharacteristic, complemented
955#3198C2×C6711yescharacteristic, complemented
956#3117C2×C6711yescharacteristic, complemented
957#3108C2×C6711yescharacteristic, complemented
958#3013C2×C6711yescharacteristic, complemented
959#3013C2×C6711yescharacteristic, complemented
960#3011C2×C6711yescharacteristic, complemented
961#3010C2×C6711yescharacteristic, complemented
962#2981C2×C6711yescharacteristic, complemented
963C67#6168111yescharacteristic, direct product factor, Sylow
964C2×2−1+4C22×C6711yescharacteristic
965C2×2−1+4C22×C6711yescharacteristic, complemented
966C2×#137C22×C6711yescharacteristic
967C2×#137C22×C6711yescharacteristic
968C2×#137C22×C6711yescharacteristic, complemented
969C2×AGL(1,ℤ/8)C22×C6711yescharacteristic
970C2×#135C22×C6711yescharacteristic
971C2×#135C22×C6711yescharacteristic
972C22×Q16C22×C6711yescharacteristic, complemented
973C22×SD16C22×C6711yescharacteristic
974#563—21no—
975#560—21no—
976#555—21no—
977#553C22×C6711yescharacteristic
978#553C22×C6711yescharacteristic
979#552C22×C6711yescharacteristic
980#552C22×C6711yescharacteristic
981#551—21no—
982#550—21no—
983#550C22×C6711yescharacteristic
984#550C22×C6711yescharacteristic, complemented
985D4×Q8—21no—
986D4×Q8C22×C6711yescharacteristic
987D4×Q8C22×C6711yescharacteristic, complemented
988#548—21no—
989#548—21no—
990#548C22×C6711yescharacteristic
991#548C22×C6711yescharacteristic
992#548C22×C6711yescharacteristic
993#548C22×C6711yescharacteristic
994#548C22×C6711yescharacteristic, complemented
995#548C22×C6711yescharacteristic, complemented
996#546C22×C6711yescharacteristic
997#546C22×C6711yescharacteristic
998#540—21no—
999#540—21no—
1000#538—21no—
1001#538—21no—
1002#537—21no—
1003#537—21no—
1004#537C22×C6711yescharacteristic
1005#537C22×C6711yescharacteristic
1006#537C22×C6711yescharacteristic
1007#537C22×C6711yescharacteristic, complemented
1008#536C22×C6711yescharacteristic
1009#535C22×C6711yescharacteristic
1010#532—21no—
1011#532—21no—
1012#532C22×C6711yescharacteristic
1013#532C22×C6711yescharacteristic, complemented
1014#529C22×C6711yescharacteristic
1015#529C22×C6711yescharacteristic
1016C2×C4×Q8C22×C6711yescharacteristic, complemented
1017#497C22×C6711yescharacteristic
1018#496C22×C6711yescharacteristic
1019#495C22×C6711yescharacteristic
1020#495C22×C6711yescharacteristic
1021#491C22×C6711yescharacteristic, complemented
1022#490C22×C6711yescharacteristic, complemented
1023#488C22×C6711yescharacteristic, complemented
1024#488C22×C6711yescharacteristic, complemented
1025#485C22×C6711yescharacteristic
1026#485C22×C6711yescharacteristic, complemented
1027#484C22×C6711yescharacteristic, complemented
1028#484C22×C6711yescharacteristic, complemented
1029#483C22×C6711yescharacteristic, complemented
1030#483C22×C6711yescharacteristic, complemented
1031#482C22×C6711yescharacteristic
1032#482C22×C6711yescharacteristic, complemented
1033#481C22×C6711yescharacteristic
1034#481C22×C6711yescharacteristic, complemented
1035#480C22×C6711yescharacteristic
1036#480C22×C6711yescharacteristic, complemented
1037#479C22×C6711yescharacteristic, complemented
1038#479C22×C6711yescharacteristic, complemented
1039#479C22×C6711yescharacteristic, complemented
1040#479C22×C6711yescharacteristic, complemented
1041#470C22×C6711yescharacteristic
1042#470C22×C6711yescharacteristic, complemented
1043#469C22×C6711yescharacteristic
1044#469C22×C6711yescharacteristic
1045#468C22×C6711yescharacteristic
1046#468C22×C6711yescharacteristic
1047#468C22×C6711yescharacteristic
1048#468C22×C6711yescharacteristic, complemented
1049#467C22×C6711yescharacteristic
1050#467C22×C6711yescharacteristic, complemented
1051#466C22×C6711yescharacteristic
1052#466C22×C6711yescharacteristic
1053#465C22×C6711yescharacteristic
1054#465C22×C6711yescharacteristic
1055#465C22×C6711yescharacteristic
1056#465C22×C6711yescharacteristic, complemented
1057#464C22×C6711yescharacteristic
1058#464C22×C6711yescharacteristic
1059#464C22×C6711yescharacteristic
1060#464C22×C6711yescharacteristic
1061#464C22×C6711yescharacteristic, complemented
1062#464C22×C6711yescharacteristic, complemented
1063#463C22×C6711yescharacteristic
1064#463C22×C6711yescharacteristic
1065#462C22×C6711yescharacteristic, complemented
1066#461C22×C6711yescharacteristic
1067#460C22×C6711yescharacteristic, complemented
1068#459C22×C6711yescharacteristic
1069#452C22×C6711yescharacteristic
1070#452C22×C6711yescharacteristic
1071#452C22×C6711yescharacteristic
1072#452C22×C6711yescharacteristic
1073#452C22×C6711yescharacteristic, complemented
1074#452C22×C6711yescharacteristic, complemented
1075#452C22×C6711yescharacteristic, complemented
1076#452C22×C6711yescharacteristic, complemented
1077#452C22×C6711yescharacteristic, complemented
1078#452C22×C6711yescharacteristic, complemented
1079#451C22×C6711yescharacteristic
1080#451C22×C6711yescharacteristic
1081#451C22×C6711yescharacteristic, complemented
1082#451C22×C6711yescharacteristic, complemented
1083#451C22×C6711yescharacteristic, complemented
1084#451C22×C6711yescharacteristic, complemented
1085#451C22×C6711yescharacteristic, complemented
1086#450C22×C6711yescharacteristic
1087#449C22×C6711yescharacteristic
1088#449C22×C6711yescharacteristic
1089#449C22×C6711yescharacteristic
1090#449C22×C6711yescharacteristic
1091#449C22×C6711yescharacteristic
1092#449C22×C6711yescharacteristic
1093#449C22×C6711yescharacteristic
1094#449C22×C6711yescharacteristic
1095#449C22×C6711yescharacteristic
1096#449C22×C6711yescharacteristic
1097#448C22×C6711yescharacteristic
1098#448C22×C6711yescharacteristic
1099#448C22×C6711yescharacteristic
1100#448C22×C6711yescharacteristic
1101#448C22×C6711yescharacteristic
1102#448C22×C6711yescharacteristic
1103#448C22×C6711yescharacteristic, complemented
1104#447C22×C6711yescharacteristic
1105#441C22×C6711yescharacteristic, complemented
1106#441C22×C6711yescharacteristic, complemented
1107#440C22×C6711yescharacteristic
1108#440C22×C6711yescharacteristic
1109C4×Q16C22×C6711yescharacteristic, complemented
1110C4×Q16C22×C6711yescharacteristic, complemented
1111C4×SD16C22×C6711yescharacteristic
1112C4×SD16C22×C6711yescharacteristic
1113#436C22×C6711yescharacteristic
1114#436C22×C6711yescharacteristic, complemented
1115#435C22×C6711yescharacteristic
1116#435C22×C6711yescharacteristic
1117#435C22×C6711yescharacteristic, complemented
1118#435C22×C6711yescharacteristic, complemented
1119C8×D4C22×C6711yescharacteristic
1120C8×D4C22×C6711yescharacteristic, complemented
1121#432C22×C6711yescharacteristic, complemented
1122#431C22×C6711yescharacteristic, complemented
1123#419C22×C6711yescharacteristic
1124#419C22×C6711yescharacteristic, complemented
1125#417C22×C6711yescharacteristic, complemented
1126#417C22×C6711yescharacteristic, complemented
1127#416C22×C6711yescharacteristic
1128#416C22×C6711yescharacteristic, complemented
1129C2×#103C22×C6711yescharacteristic, complemented
1130C2×#103C22×C6711yescharacteristic, complemented
1131#408C22×C6711yescharacteristic
1132#408C22×C6711yescharacteristic
1133#408C22×C6711yescharacteristic, complemented
1134#408C22×C6711yescharacteristic, complemented
11352−1+4—42no—
11362−1+4—42no—
11372−1+4—42no—
11382−1+4—42no—
1139C2×#41—21no—
1140C2×#41—21no—
1141C2×#41—21no—
1142C2×#41—21no—
1143C2×#41—21no—
1144C2×#41—21no—
1145C2×#41C23×C6711yescharacteristic
1146C2×#41C23×C6711yescharacteristic
1147C2×#41C23×C6711yescharacteristic
1148C2×#41C23×C6711yescharacteristic
1149C2×#41C23×C6711yescharacteristic
1150C2×#41C23×C6711yescharacteristic
1151C2×#41C23×C6711yescharacteristic
1152C2×#41C23×C6711yescharacteristic
1153C2×#41C23×C6711yescharacteristic
1154C2×#41C23×C6711yescharacteristic
1155C22×Q8—21no—
1156C22×Q8—21no—
1157C22×Q8C23×C6711yescharacteristic
1158C22×Q8C23×C6711yescharacteristic
1159C22×Q8C23×C6711yescharacteristic
1160C22×Q8C23×C6711yescharacteristic
1161C22×Q8C23×C6711yescharacteristic
1162C22×Q8C23×C6711yescharacteristic
1163C22×D4C23×C6711yescharacteristic
1164#137—42no—
1165#137—42no—
1166#137—42no—
1167AGL(1,ℤ/8)—42no—
1168#135—42no—
1169#135—42no—
1170C2×Q16—42no—
1171C2×Q16C23×C6711yescharacteristic
1172C2×Q16C23×C6711yescharacteristic
1173C2×Q16C23×C6711yescharacteristic
1174C2×Q16C23×C6711yescharacteristic
1175C2×Q16C23×C6711yescharacteristic
1176C2×Q16C23×C6711yescharacteristic
1177C2×Q16C23×C6711yescharacteristic
1178C2×Q16C23×C6711yescharacteristic
1179C2×SD16—42no—
1180C2×SD16C23×C6711yescharacteristic
1181C2×SD16C23×C6711yescharacteristic
1182C2×SD16C23×C6711yescharacteristic
1183C2×SD16C23×C6711yescharacteristic
1184C2×SD16C23×C6711yescharacteristic
1185C2×SD16C23×C6711yescharacteristic
1186C2×SD16C23×C6711yescharacteristic
1187C2×SD16C23×C6711yescharacteristic
1188C2×SD16C23×C6711yescharacteristic
1189C2×SD16C23×C6711yescharacteristic
1190C2×SD16C23×C6711yescharacteristic
1191C2×SD16C23×C6711yescharacteristic
1192C2×D8C23×C6711yescharacteristic
1193C2×D8C23×C6711yescharacteristic
1194C2×D8C23×C6711yescharacteristic
1195C2×D8C23×C6711yescharacteristic
1196C2×M16C23×C6711yescharacteristic
1197C2×M16C23×C6711yescharacteristic
1198C2×M16C23×C6711yescharacteristic
1199C2×M16C23×C6711yescharacteristic
1200C22×C8C23×C6711yescharacteristic
1201C22×C8C23×C6711yescharacteristic
1202C22×C8C23×C6711yescharacteristic
1203C22×C8C23×C6711yescharacteristic
1204C4⋊Q8—21no—
1205C4⋊Q8—21no—
1206C4⋊Q8—21no—
1207C4⋊Q8D4×C6711yescharacteristic
1208C4⋊Q8C23×C6711yescharacteristic
1209#127—21no—
1210#127—21no—
1211#127—21no—
1212#127D4×C6711yescharacteristic
1213#127C23×C6711yescharacteristic
1214#126—21no—
1215#126—21no—
1216#126—21no—
1217#126—21no—
1218#126—21no—
1219#126—21no—
1220#125—21no—
1221#125—21no—
1222#125C23×C6711yescharacteristic
1223#125C23×C6711yescharacteristic
1224#124—21no—
1225#124—21no—
1226#124—21no—
1227#124—21no—
1228#124—21no—
1229#124—21no—
1230#124—21no—
1231#124—21no—
1232#124D4×C6711yescharacteristic
1233#124D4×C6711yescharacteristic
1234#124C23×C6711yescharacteristic
1235#124C23×C6711yescharacteristic
1236#124C23×C6711yescharacteristic
1237#124C23×C6711yescharacteristic
1238#123—21no—
1239#123—21no—
1240#123—21no—
1241#123—21no—
1242#123—21no—
1243#123—21no—
1244#123—21no—
1245#123—21no—
1246#123—21no—
1247#123—21no—
1248C22⋊Q8—21no—
1249C22⋊Q8—21no—
1250C22⋊Q8—21no—
1251C22⋊Q8—21no—
1252C22⋊Q8—21no—
1253C22⋊Q8—21no—
1254C22⋊Q8—21no—
1255C22⋊Q8—21no—
1256C22⋊Q8—21no—
1257C22⋊Q8—21no—
1258C22⋊Q8—21no—
1259C22⋊Q8—21no—
1260C22⋊Q8—21no—
1261C22⋊Q8—21no—
1262C22⋊Q8C23×C6711yescharacteristic
1263C22⋊Q8C23×C6711yescharacteristic
1264C22⋊Q8C23×C6711yescharacteristic
1265C22⋊Q8C23×C6711yescharacteristic
1266C22⋊Q8C23×C6711yescharacteristic
1267C22⋊Q8C23×C6711yescharacteristic
1268C22⋊Q8C23×C6711yescharacteristic
1269C22⋊Q8C23×C6711yescharacteristic
1270C22⋊Q8C23×C6711yescharacteristic
1271C22⋊Q8C23×C6711yescharacteristic
1272#121—21no—
1273#121—21no—
1274#121—21no—
1275#121—21no—
1276#121—21no—
1277#121—21no—
1278#121—21no—
1279#121—21no—
1280#121—21no—
1281#121—21no—
1282#121—21no—
1283#121—21no—
1284#121—21no—
1285#121—21no—
1286#121—21no—
1287#121—21no—
1288#121—21no—
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#121D4×C6711yescharacteristic
1301#121D4×C6711yescharacteristic
1302#121D4×C6711yescharacteristic
1303#121D4×C6711yescharacteristic
1304#121C23×C6711yescharacteristic
1305#121C23×C6711yescharacteristic
1306#121C23×C6711yescharacteristic
1307#121C23×C6711yescharacteristic
1308#121C23×C6711yescharacteristic
1309#121C23×C6711yescharacteristic
1310#121C23×C6711yescharacteristic
1311#121C23×C6711yescharacteristic
1312#121C23×C6711yescharacteristic
1313#121C23×C6711yescharacteristic
1314#120—21no—
1315#120—21no—
1316#120—21no—
1317#120—21no—
1318C4×Q8—21no—
1319C4×Q8—21no—
1320C4×Q8C23×C6711yescharacteristic
1321C4×Q8C23×C6711yescharacteristic
1322C4×Q8C23×C6711yescharacteristic
1323C4×Q8C23×C6711yescharacteristic
1324C4×Q8C23×C6711yescharacteristic
1325C4×Q8C23×C6711yescharacteristic
1326C4×D4—21no—
1327C4×D4—21no—
1328C4×D4—21no—
1329C4×D4—21no—
1330C4×D4—21no—
1331C4×D4—21no—
1332C4×D4—21no—
1333C4×D4—21no—
1334C4×D4—21no—
1335C4×D4—21no—
1336C4×D4—21no—
1337C4×D4—21no—
1338C4×D4—21no—
1339C4×D4—21no—
1340C4×D4—21no—
1341C4×D4—21no—
1342C4×D4C23×C6711yescharacteristic
1343C4×D4C23×C6711yescharacteristic
1344C4×D4C23×C6711yescharacteristic
1345C4×D4C23×C6711yescharacteristic
1346C4×D4C23×C6711yescharacteristic
1347C4×D4C23×C6711yescharacteristic
1348#117—21no—
1349#117—21no—
1350#117—21no—
1351#117—21no—
1352#117C23×C6711yescharacteristic
1353#117C23×C6711yescharacteristic
1354C2×C4⋊C4—21no—
1355C2×C4⋊C4C23×C6711yescharacteristic
1356C2×C4⋊C4C23×C6711yescharacteristic
1357C2×C4⋊C4C23×C6711yescharacteristic
1358C2×C22⋊C4—21no—
1359C2×C22⋊C4—21no—
1360C2×C42—21no—
1361C2×C42C23×C6711yescharacteristic
1362#107C23×C6711yescharacteristic
1363#107C23×C6711yescharacteristic
1364#107C23×C6711yescharacteristic
1365#107C23×C6711yescharacteristic
1366#106C23×C6711yescharacteristic
1367#106C23×C6711yescharacteristic
1368#106C23×C6711yescharacteristic
1369#106C23×C6711yescharacteristic
1370C4⋊C8C23×C6711yescharacteristic
1371C4⋊C8C23×C6711yescharacteristic
1372C4⋊C8C23×C6711yescharacteristic
1373C4⋊C8C23×C6711yescharacteristic
1374#103C23×C6711yescharacteristic
1375#103C23×C6711yescharacteristic
1376#103C23×C6711yescharacteristic
1377#103C23×C6711yescharacteristic
1378#103C23×C6711yescharacteristic
1379#103C23×C6711yescharacteristic
1380#103C23×C6711yescharacteristic
1381#103C23×C6711yescharacteristic
1382#103C23×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#102C23×C6711yescharacteristic
1395#102C23×C6711yescharacteristic
1396#102C23×C6711yescharacteristic
1397#102C23×C6711yescharacteristic
1398#102C23×C6711yescharacteristic
1399#102C23×C6711yescharacteristic
1400#102C23×C6711yescharacteristic
1401#102C23×C6711yescharacteristic
1402#102C23×C6711yescharacteristic
1403#102C23×C6711yescharacteristic
1404#102C23×C6711yescharacteristic
1405#102C23×C6711yescharacteristic
1406C22⋊C8C23×C6711yescharacteristic
1407C22⋊C8C23×C6711yescharacteristic
1408C22⋊C8C23×C6711yescharacteristic
1409C22⋊C8C23×C6711yescharacteristic
1410C22⋊C8C23×C6711yescharacteristic
1411C22⋊C8C23×C6711yescharacteristic
1412C22⋊C8C23×C6711yescharacteristic
1413C22⋊C8C23×C6711yescharacteristic
1414C22⋊C8C23×C6711yescharacteristic
1415C22⋊C8C23×C6711yescharacteristic
1416C22⋊C8C23×C6711yescharacteristic
1417C22⋊C8C23×C6711yescharacteristic
1418#97C23×C6711yescharacteristic
1419#97C23×C6711yescharacteristic
1420C4×C8C23×C6711yescharacteristic
1421C4×C8C23×C6711yescharacteristic
1422C24—21no—
1423#41—22no—
1424#41—22no—
1425#41—22no—
1426#41—22no—
1427#41—41no—
1428#41—41no—
1429#41—41no—
1430#41—41no—
1431#41—41no—
1432#41—41no—
1433#41—41no—
1434#41—41no—
1435#41—41no—
1436#41—41no—
1437#41—41no—
1438#41—41no—
1439#41—44no—
1440#41—44no—
1441#41—44no—
1442#41—44no—
1443#41—41no—
1444#41—41no—
1445#41—41no—
1446#41—41no—
1447#41—44no—
1448#41—44no—
1449C2×Q8—22no—
1450C2×Q8—22no—
1451C2×Q8—21no—
1452C2×Q8—21no—
1453C2×Q8—21no—
1454C2×Q8—21no—
1455C2×Q8—21no—
1456C2×Q8—21no—
1457C2×Q8—22no—
1458C2×Q8—22no—
1459C2×Q8—22no—
1460C2×Q8—22no—
1461C2×Q8—41no—
1462C2×Q8—41no—
1463C2×Q8—41no—
1464C2×Q8—41no—
1465C2×Q8—41no—
1466C2×Q8—41no—
1467C2×Q8—44no—
1468C2×Q8—44no—
1469C2×Q8C2×D4×C6711yescharacteristic
1470C2×Q8C2×D4×C6711yescharacteristic
1471C2×Q8C24×C6711yescharacteristic
1472C2×Q8C24×C6711yescharacteristic
1473C2×Q8C24×C6711yescharacteristic
1474C2×Q8C24×C6711yescharacteristic
1475C2×Q8C24×C6711yescharacteristic
1476C2×Q8C24×C6711yescharacteristic
1477C2×D4—21no—
1478C2×D4—21no—
1479C2×D4—21no—
1480C2×D4—21no—
1481C2×D4—21no—
1482C2×D4—21no—
1483C2×D4—21no—
1484C2×D4—21no—
1485C2×D4—21no—
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—41no—
1499C2×D4—41no—
1500C2×D4C2×D4×C6711yescharacteristic
1501C2×D4C2×D4×C6711yescharacteristic
1502C2×D4C2×D4×C6711yescharacteristic
1503C2×D4C2×D4×C6711yescharacteristic
1504C2×D4C2×D4×C6711yescharacteristic
1505C2×D4C2×D4×C6711yescharacteristic
1506C2×D4C2×D4×C6711yescharacteristic
1507C2×D4C2×D4×C6711yescharacteristic
1508C2×D4C2×D4×C6711yescharacteristic
1509C2×D4C2×D4×C6711yescharacteristic
1510C2×D4C24×C6711yescharacteristic
1511C2×D4C24×C6711yescharacteristic
1512C2×D4C24×C6711yescharacteristic
1513C2×D4C24×C6711yescharacteristic
1514C22×C4—21no—
1515C22×C4—21no—
1516C22×C4—21no—
1517C22×C4—21no—
1518C22×C4—21no—
1519C22×C4—21no—
1520C22×C4—21no—
1521C22×C4—21no—
1522C22×C4—21no—
1523C22×C4—21no—
1524C22×C4—21no—
1525C22×C4—21no—
1526C22×C4—21no—
1527C22×C4—21no—
1528C22×C4—21no—
1529C22×C4—21no—
1530C22×C4—21no—
1531C22×C4—21no—
1532C22×C4—21no—
1533C22×C4C2×D4×C6711yescharacteristic
1534C22×C4C2×D4×C6711yescharacteristic
1535C22×C4C24×C6711yescharacteristic
1536C22×C4C24×C6711yescharacteristic
1537C22×C4C24×C6711yescharacteristic
1538C22×C4C24×C6711yescharacteristic
1539C22×C4C24×C6711yescharacteristic
1540Q16—22no—
1541Q16—22no—
1542Q16—22no—
1543Q16—22no—
1544Q16—41no—
1545Q16—41no—
1546Q16—41no—
1547Q16—41no—
1548SD16—22no—
1549SD16—22no—
1550SD16—22no—
1551SD16—22no—
1552SD16—41no—
1553SD16—41no—
1554SD16—41no—
1555SD16—41no—
1556SD16—41no—
1557SD16—41no—
1558SD16—41no—
1559SD16—41no—
1560D8—41no—
1561D8—41no—
1562D8—41no—
1563D8—41no—
1564M16—41no—
1565M16—41no—
1566M16—41no—
1567M16—41no—
1568C2×C8—41no—
1569C2×C8—41no—
1570C2×C8—41no—
1571C2×C8—41no—
1572C2×C8C24×C6711yescharacteristic
1573C2×C8C24×C6711yescharacteristic
1574C2×C8C24×C6711yescharacteristic
1575C2×C8C24×C6711yescharacteristic
1576C2×C8C24×C6711yescharacteristic
1577C2×C8C24×C6711yescharacteristic
1578C2×C8C24×C6711yescharacteristic
1579C2×C8C24×C6711yescharacteristic
1580C4⋊C4—21no—
1581C4⋊C4—21no—
1582C4⋊C4—21no—
1583C4⋊C4—21no—
1584C4⋊C4—21no—
1585C4⋊C4—21no—
1586C4⋊C4—21no—
1587C4⋊C4—21no—
1588C4⋊C4—21no—
1589C4⋊C4—21no—
1590C4⋊C4—21no—
1591C4⋊C4—21no—
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⋊C4C2×D4×C6711yescharacteristic
1606C4⋊C4C2×D4×C6711yescharacteristic
1607C4⋊C4C2×D4×C6711yescharacteristic
1608C4⋊C4C2×D4×C6711yescharacteristic
1609C4⋊C4C24×C6711yescharacteristic
1610C4⋊C4C24×C6711yescharacteristic
1611C4⋊C4C24×C6711yescharacteristic
1612C4⋊C4C24×C6711yescharacteristic
1613C4⋊C4C24×C6711yescharacteristic
1614C4⋊C4C24×C6711yescharacteristic
1615C22⋊C4—21no—
1616C22⋊C4—21no—
1617C22⋊C4—21no—
1618C22⋊C4—21no—
1619C22⋊C4—21no—
1620C22⋊C4—21no—
1621C22⋊C4—21no—
1622C22⋊C4—21no—
1623C22⋊C4—21no—
1624C22⋊C4—21no—
1625C22⋊C4—21no—
1626C22⋊C4—21no—
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⋊C4C2×D4×C6711yescharacteristic
1648C22⋊C4C2×D4×C6711yescharacteristic
1649C22⋊C4C2×D4×C6711yescharacteristic
1650C22⋊C4C2×D4×C6711yescharacteristic
1651C22⋊C4C2×D4×C6711yescharacteristic
1652C22⋊C4C2×D4×C6711yescharacteristic
1653C22⋊C4C2×D4×C6711yescharacteristic
1654C22⋊C4C2×D4×C6711yescharacteristic
1655C42—21no—
1656C42—21no—
1657C42—21no—
1658C42—21no—
1659C42—21no—
1660C42—21no—
1661C42—21no—
1662C42—21no—
1663C42C2×D4×C6711yescharacteristic
1664C42C2×D4×C6711yescharacteristic
1665C42C24×C6711yescharacteristic
1666C42C24×C6711yescharacteristic
1667C23—21no—
1668C23—21no—
1669C23—21no—
1670C23—21no—
1671C23—81no—
1672C23—81no—
1673C23—81no—
1674C23C22×D4×C6711yescharacteristic
1675C23C22×D4×C6711yescharacteristic
1676C23C22×D4×C6711yescharacteristic
1677C23C22×D4×C6711yescharacteristic
1678C23C22×D4×C6711yescharacteristic
1679Q8—24no—
1680Q8—21no—
1681Q8—21no—
1682Q8—21no—
1683Q8—21no—
1684Q8—21no—
1685Q8—21no—
1686Q8—21no—
1687Q8—21no—
1688Q8—21no—
1689Q8—21no—
1690Q8—41no—
1691Q8—41no—
1692Q8—42no—
1693Q8—42no—
1694Q8—42no—
1695Q8—42no—
1696Q8—81no—
1697Q8H(5,𝔽2)×C6712yes—
1698Q8H(5,𝔽2)×C6712yes—
1699D4—21no—
1700D4—21no—
1701D4—21no—
1702D4—21no—
1703D4—21no—
1704D4—21no—
1705D4—21no—
1706D4—21no—
1707D4—41no—
1708D4—41no—
1709D4—41no—
1710D4—41no—
1711D4—41no—
1712D4—41no—
1713D4—41no—
1714D4—41no—
1715D4—41no—
1716D4—41no—
1717D4—42no—
1718D4—42no—
1719D4—42no—
1720D4—42no—
1721D4—42no—
1722D4—42no—
1723D4—42no—
1724D4—81no—
1725D4—81no—
1726D4—81no—
1727D4—81no—
1728D4—81no—
1729D4—81no—
1730D4—81no—
1731D4—81no—
1732D4—81no—
1733D4—81no—
1734D4—81no—
1735D4—81no—
1736D4—81no—
1737D4—81no—
1738C2×C4—24no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—41no—
1762C2×C4—41no—
1763C2×C4—42no—
1764C2×C4—42no—
1765C2×C4—42no—
1766C2×C4—42no—
1767C2×C4—42no—
1768C2×C4—42no—
1769C2×C4—42no—
1770C2×C4—42no—
1771C2×C4—42no—
1772C2×C4—42no—
1773C2×C4—81no—
1774C2×C4—81no—
1775C2×C4—81no—
1776C2×C4—81no—
1777C2×C4—81no—
1778C2×C4—81no—
1779C2×C4—81no—
1780C2×C4—81no—
1781C2×C4C22×D4×C6711yescharacteristic
1782C2×C4C22×D4×C6711yescharacteristic
1783C2×C4C22×D4×C6711yescharacteristic
1784C2×C4C22×D4×C6711yescharacteristic
1785C2×C4C22×D4×C6711yescharacteristic
1786C2×C4C22×D4×C6711yescharacteristic
1787C2×C4C22×D4×C6711yescharacteristic
1788C2×C4C22×D4×C6711yescharacteristic
1789C2×C4C22×D4×C6711yescharacteristic
1790C2×C4C25×C6711yescharacteristic
1791C8—21no—
1792C8—21no—
1793C8—21no—
1794C8—21no—
1795C8—21no—
1796C8—21no—
1797C8—21no—
1798C8—21no—
1799C22—21no—
1800C22—21no—
1801C22—21no—
1802C22—21no—
1803C22—21no—
1804C22—21no—
1805C22—21no—
1806C22—21no—
1807C22—21no—
1808C22—21no—
1809C22—21no—
1810C22—21no—
1811C22—21no—
1812C22—21no—
1813C22—21no—
1814C22—41no—
1815C22—41no—
1816C22—41no—
1817C22—41no—
1818C22—41no—
1819C22—41no—
1820C22—41no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—162no—
1827C22C23×D4×C6711yescharacteristic
1828C4—21no—
1829C4—21no—
1830C4—21no—
1831C4—21no—
1832C4—22no—
1833C4—22no—
1834C4—21no—
1835C4—21no—
1836C4—21no—
1837C4—21no—
1838C4—21no—
1839C4—41no—
1840C4—41no—
1841C4—41no—
1842C4—41no—
1843C4—41no—
1844C4—41no—
1845C4—41no—
1846C4—41no—
1847C4—41no—
1848C4—41no—
1849C4C2×H(5,𝔽2)×C6711yescharacteristic
1850C4C2×H(5,𝔽2)×C6711yescharacteristic
1851C2—41no—
1852C2—41no—
1853C2—41no—
1854C2—41no—
1855C2—41no—
1856C2—81no—
1857C2—81no—
1858C2—81no—
1859C2—81no—
1860C2C67×#348411yescharacteristic
1861C2C67×#358411yescharacteristic
1862C2C67×#358611yescharacteristic
subgroupG/H
center, socleC22×C67C23×D4
commutator, Frattini, cosocleC2×C4C25×C67
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C67 ◁ #532×C67 ◁ G

Complements

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

NH ≅ G/Ntype
1. C67×#3551C2semidirect
2. C67×#3497C2semidirect
3. C67×#3327C2semidirect
4. C67×#3326C2semidirect
5. C67×#3320C2semidirect
6. C67×#3317C2semidirect
7. C67×#3312C2semidirect
8. C67×#3309C2semidirect
9. C67×#3301C2semidirect
10. C67×#3300C2semidirect
11. C67×#3285C2semidirect
12. C67×#3282C2semidirect
13. C67×#3277C2semidirect
14. C67×#3275C2semidirect
15. C67×#3271C2semidirect
16. C67×#3270C2semidirect
17. C67×#3268C2semidirect
18. C67×#3266C2semidirect
19. C67×#3219C2semidirect
20. C67×#3212C2semidirect
21. C67×#3204C2semidirect
22. C67×#3203C2semidirect
23. C67×#3201C2semidirect
24. C67×#3198C2semidirect
25. C67×#3117C2semidirect
26. C67×#3108C2semidirect
27. C67×#3013C2semidirect
28. C67×#3013C2semidirect
29. C67×#3011C2semidirect
30. C67×#3010C2semidirect
31. C67×#2981C2semidirect
33. C2×2−1+4×C67C22semidirect
36. C2×#137×C67C22semidirect
40. C22×Q16×C67C22semidirect
52. #550×C67C22semidirect
55. D4×Q8×C67C22semidirect
62. #548×C67C22semidirect
63. #548×C67C22semidirect
75. #537×C67C22semidirect
81. #532×C67C22semidirect
84. C2×C4×Q8×C67C22semidirect
89. #491×C67C22semidirect
90. #490×C67C22semidirect
91. #488×C67C22semidirect
92. #488×C67C22semidirect
94. #485×C67C22semidirect
95. #484×C67C22semidirect
96. #484×C67C22semidirect
97. #483×C67C22semidirect
98. #483×C67C22semidirect
100. #482×C67C22semidirect
102. #481×C67C22semidirect
104. #480×C67C22semidirect
105. #479×C67C22semidirect
106. #479×C67C22semidirect
107. #479×C67C22semidirect
108. #479×C67C22semidirect
110. #470×C67C22semidirect
116. #468×C67C22semidirect
118. #467×C67C22semidirect
124. #465×C67C22semidirect
129. #464×C67C22semidirect
130. #464×C67C22semidirect
133. #462×C67C22semidirect
135. #460×C67C22semidirect
141. #452×C67C22semidirect
142. #452×C67C22semidirect
143. #452×C67C22semidirect
144. #452×C67C22semidirect
145. #452×C67C22semidirect
146. #452×C67C22semidirect
149. #451×C67C22semidirect
150. #451×C67C22semidirect
151. #451×C67C22semidirect
152. #451×C67C22semidirect
153. #451×C67C22semidirect
171. #448×C67C22semidirect
173. #441×C67C22semidirect
174. #441×C67C22semidirect
177. C4×Q16×C67C22semidirect
178. C4×Q16×C67C22semidirect
182. #436×C67C22semidirect
185. #435×C67C22semidirect
186. #435×C67C22semidirect
188. C8×D4×C67C22semidirect
189. #432×C67C22semidirect
190. #431×C67C22semidirect
192. #419×C67C22semidirect
193. #417×C67C22semidirect
194. #417×C67C22semidirect
196. #416×C67C22semidirect
197. C2×#103×C67C22semidirect
198. C2×#103×C67C22semidirect
201. #408×C67C22semidirect
202. #408×C67C22semidirect
919. #61681C67direct (N × H)
932. #3551C2×C67semidirect
933. #3497C2×C67semidirect
934. #3327C2×C67semidirect
935. #3326C2×C67semidirect
936. #3320C2×C67semidirect
937. #3317C2×C67semidirect
938. #3312C2×C67semidirect
939. #3309C2×C67semidirect
940. #3301C2×C67semidirect
941. #3300C2×C67semidirect
942. #3285C2×C67semidirect
943. #3282C2×C67semidirect
944. #3277C2×C67semidirect
945. #3275C2×C67semidirect
946. #3271C2×C67semidirect
947. #3270C2×C67semidirect
948. #3268C2×C67semidirect
949. #3266C2×C67semidirect
950. #3219C2×C67semidirect
951. #3212C2×C67semidirect
952. #3204C2×C67semidirect
953. #3203C2×C67semidirect
954. #3201C2×C67semidirect
955. #3198C2×C67semidirect
956. #3117C2×C67semidirect
957. #3108C2×C67semidirect
958. #3013C2×C67semidirect
959. #3013C2×C67semidirect
960. #3011C2×C67semidirect
961. #3010C2×C67semidirect
962. #2981C2×C67semidirect
963. C67#61681direct (N × H)
965. C2×2−1+4C22×C67semidirect
968. C2×#137C22×C67semidirect
972. C22×Q16C22×C67semidirect
984. #550C22×C67semidirect
987. D4×Q8C22×C67semidirect
994. #548C22×C67semidirect
995. #548C22×C67semidirect
1007. #537C22×C67semidirect
1013. #532C22×C67semidirect
1016. C2×C4×Q8C22×C67semidirect
1021. #491C22×C67semidirect
1022. #490C22×C67semidirect
1023. #488C22×C67semidirect
1024. #488C22×C67semidirect
1026. #485C22×C67semidirect
1027. #484C22×C67semidirect
1028. #484C22×C67semidirect
1029. #483C22×C67semidirect
1030. #483C22×C67semidirect
1032. #482C22×C67semidirect
1034. #481C22×C67semidirect
1036. #480C22×C67semidirect
1037. #479C22×C67semidirect
1038. #479C22×C67semidirect
1039. #479C22×C67semidirect
1040. #479C22×C67semidirect
1042. #470C22×C67semidirect
1048. #468C22×C67semidirect
1050. #467C22×C67semidirect
1056. #465C22×C67semidirect
1061. #464C22×C67semidirect
1062. #464C22×C67semidirect
1065. #462C22×C67semidirect
1067. #460C22×C67semidirect
1073. #452C22×C67semidirect
1074. #452C22×C67semidirect
1075. #452C22×C67semidirect
1076. #452C22×C67semidirect
1077. #452C22×C67semidirect
1078. #452C22×C67semidirect
1081. #451C22×C67semidirect
1082. #451C22×C67semidirect
1083. #451C22×C67semidirect
1084. #451C22×C67semidirect
1085. #451C22×C67semidirect
1103. #448C22×C67semidirect
1105. #441C22×C67semidirect
1106. #441C22×C67semidirect
1109. C4×Q16C22×C67semidirect
1110. C4×Q16C22×C67semidirect
1114. #436C22×C67semidirect
1117. #435C22×C67semidirect
1118. #435C22×C67semidirect
1120. C8×D4C22×C67semidirect
1121. #432C22×C67semidirect
1122. #431C22×C67semidirect
1124. #419C22×C67semidirect
1125. #417C22×C67semidirect
1126. #417C22×C67semidirect
1128. #416C22×C67semidirect
1129. C2×#103C22×C67semidirect
1130. C2×#103C22×C67semidirect
1133. #408C22×C67semidirect
1134. #408C22×C67semidirect

Maximal subgroups

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

subgroupindex
C67×#35512
C67×#34972
C67×#33272
C67×#33262
C67×#33202
C67×#33172
C67×#33122
C67×#33092
C67×#33012
C67×#33002
C67×#32852
C67×#32822
C67×#32772
C67×#32752
C67×#32712
C67×#32702
C67×#32682
C67×#32662
C67×#32192
C67×#32122
C67×#32042
C67×#32032
C67×#32012
C67×#31982
C67×#31172
C67×#31082
C67×#30132
C67×#30112
C67×#30102
C67×#29812
#6168167