Finite Group Databasebeta

← C67×#61626 #30740877

Subgroups — C67×#61626 #30740877

Order 17152.

2046 conjugacy classes of subgroups.

The subgroup lattice has 1866 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C67×#3539C211yesmaximal, characteristic, complemented
2C67×#3489C211yesmaximal, characteristic, complemented
3C67×#3323C211yesmaximal, characteristic, complemented
4C67×#3322C211yesmaximal, characteristic, complemented
5C67×#3320C211yesmaximal, characteristic, complemented
6C67×#3315C211yesmaximal, characteristic, complemented
7C67×#3312C211yesmaximal, characteristic, complemented
8C67×#3307C211yesmaximal, characteristic, complemented
9C67×#3301C211yesmaximal, characteristic, complemented
10C67×#3300C211yesmaximal, characteristic, complemented
11C67×#3284C211yesmaximal, characteristic, complemented
12C67×#3283C211yesmaximal, characteristic, complemented
13C67×#3278C211yesmaximal, characteristic, complemented
14C67×#3276C211yesmaximal, characteristic, complemented
15C67×#3271C211yesmaximal, characteristic, complemented
16C67×#3269C211yesmaximal, characteristic, complemented
17C67×#3268C211yesmaximal, characteristic, complemented
18C67×#3267C211yesmaximal, characteristic, complemented
19C67×#3223C211yesmaximal, characteristic, complemented
20C67×#3221C211yesmaximal, characteristic, complemented
21C67×#3204C211yesmaximal, characteristic, complemented
22C67×#3203C211yesmaximal, characteristic, complemented
23C67×#3196C211yesmaximal, characteristic, complemented
24C67×#3190C211yesmaximal, characteristic, complemented
25C67×#3120C211yesmaximal, characteristic, complemented
26C67×#3119C211yesmaximal, characteristic, complemented
27C67×#3013C211yesmaximal, characteristic, complemented
28C67×#3013C211yesmaximal, characteristic, complemented
29C67×#3005C211yesmaximal, characteristic, complemented
30C67×#3002C211yesmaximal, characteristic, complemented
31C67×#2976C211yesmaximal, characteristic, complemented
32C2×2−1+4×C67C2211yescharacteristic
33C22×#41×C67C2211yescharacteristic
34C2×#137×C67C2211yescharacteristic
35C2×#137×C67C2211yescharacteristic, complemented
36C2×#137×C67C2211yescharacteristic, complemented
37C2×AGL(1,ℤ/8)×C67C2211yescharacteristic
38C2×#135×C67C2211yescharacteristic
39C2×#135×C67C2211yescharacteristic
40C2×#135×C67C2211yescharacteristic, complemented
41C2×#135×C67C2211yescharacteristic, complemented
42#560×C67—21no—
43#560×C67—21no—
44#553×C67—21no—
45#553×C67—21no—
46#553×C67C2211yescharacteristic
47#553×C67C2211yescharacteristic, complemented
48#552×C67C2211yescharacteristic
49#552×C67C2211yescharacteristic, complemented
50#550×C67C2211yescharacteristic
51#550×C67C2211yescharacteristic, complemented
52D4×Q8×C67C2211yescharacteristic
53D4×Q8×C67C2211yescharacteristic
54#548×C67C2211yescharacteristic
55#548×C67C2211yescharacteristic
56#547×C67—21no—
57#547×C67—21no—
58#547×C67C2211yescharacteristic
59#547×C67C2211yescharacteristic
60#547×C67C2211yescharacteristic
61#547×C67C2211yescharacteristic, complemented
62#546×C67—21no—
63#546×C67—21no—
64#546×C67C2211yescharacteristic
65#546×C67C2211yescharacteristic
66#541×C67C2211yescharacteristic, complemented
67#540×C67—21no—
68#540×C67—21no—
69#540×C67C2211yescharacteristic, complemented
70#539×C67—21no—
71#539×C67—21no—
72#537×C67—21no—
73#537×C67C2211yescharacteristic
74#537×C67C2211yescharacteristic, complemented
75#537×C67C2211yescharacteristic, complemented
76#536×C67—21no—
77#536×C67C2211yescharacteristic
78#525×C67—21no—
79#525×C67C2211yescharacteristic
80#525×C67C2211yescharacteristic
81#525×C67C2211yescharacteristic
82C2×C22⋊Q8×C67—21no—
83C2×C22⋊Q8×C67C2211yescharacteristic
84#520×C67C2211yescharacteristic
85#497×C67C2211yescharacteristic, complemented
86#496×C67C2211yescharacteristic, complemented
87#494×C67C2211yescharacteristic, complemented
88#492×C67C2211yescharacteristic, complemented
89#491×C67C2211yescharacteristic, complemented
90#491×C67C2211yescharacteristic, complemented
91#488×C67C2211yescharacteristic, complemented
92#488×C67C2211yescharacteristic, complemented
93#485×C67C2211yescharacteristic
94#485×C67C2211yescharacteristic
95#485×C67C2211yescharacteristic, complemented
96#485×C67C2211yescharacteristic, complemented
97#484×C67C2211yescharacteristic, complemented
98#484×C67C2211yescharacteristic, complemented
99#483×C67C2211yescharacteristic, complemented
100#483×C67C2211yescharacteristic, complemented
101#481×C67C2211yescharacteristic, complemented
102#481×C67C2211yescharacteristic, complemented
103#480×C67C2211yescharacteristic, complemented
104#480×C67C2211yescharacteristic, complemented
105#479×C67C2211yescharacteristic, complemented
106#479×C67C2211yescharacteristic, complemented
107#478×C67C2211yescharacteristic, complemented
108#478×C67C2211yescharacteristic, complemented
109#470×C67C2211yescharacteristic
110#470×C67C2211yescharacteristic
111#470×C67C2211yescharacteristic, complemented
112#469×C67C2211yescharacteristic, complemented
113#468×C67C2211yescharacteristic
114#468×C67C2211yescharacteristic
115#468×C67C2211yescharacteristic, complemented
116#468×C67C2211yescharacteristic, complemented
117#467×C67C2211yescharacteristic, complemented
118#467×C67C2211yescharacteristic, complemented
119#467×C67C2211yescharacteristic, complemented
120#466×C67C2211yescharacteristic, complemented
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#463×C67C2211yescharacteristic, complemented
128#463×C67C2211yescharacteristic, complemented
129#462×C67C2211yescharacteristic, complemented
130#462×C67C2211yescharacteristic, complemented
131#462×C67C2211yescharacteristic, complemented
132#461×C67C2211yescharacteristic, complemented
133#461×C67C2211yescharacteristic, complemented
134#461×C67C2211yescharacteristic, complemented
135#460×C67C2211yescharacteristic, complemented
136#459×C67C2211yescharacteristic, complemented
137#452×C67C2211yescharacteristic
138#452×C67C2211yescharacteristic
139#452×C67C2211yescharacteristic
140#452×C67C2211yescharacteristic
141#452×C67C2211yescharacteristic
142#452×C67C2211yescharacteristic
143#452×C67C2211yescharacteristic
144#452×C67C2211yescharacteristic
145#452×C67C2211yescharacteristic, complemented
146#452×C67C2211yescharacteristic, complemented
147#452×C67C2211yescharacteristic, complemented
148#452×C67C2211yescharacteristic, complemented
149#452×C67C2211yescharacteristic, complemented
150#452×C67C2211yescharacteristic, complemented
151#451×C67C2211yescharacteristic
152#451×C67C2211yescharacteristic, complemented
153#451×C67C2211yescharacteristic, complemented
154#451×C67C2211yescharacteristic, complemented
155#451×C67C2211yescharacteristic, complemented
156#450×C67C2211yescharacteristic
157#449×C67C2211yescharacteristic
158#449×C67C2211yescharacteristic
159#449×C67C2211yescharacteristic
160#449×C67C2211yescharacteristic
161#449×C67C2211yescharacteristic
162#449×C67C2211yescharacteristic
163#449×C67C2211yescharacteristic, complemented
164#449×C67C2211yescharacteristic, complemented
165#449×C67C2211yescharacteristic, complemented
166#449×C67C2211yescharacteristic, complemented
167#448×C67C2211yescharacteristic
168#448×C67C2211yescharacteristic, complemented
169#448×C67C2211yescharacteristic, complemented
170#448×C67C2211yescharacteristic, complemented
171#448×C67C2211yescharacteristic, complemented
172#447×C67C2211yescharacteristic
173#442×C67C2211yescharacteristic, complemented
174#441×C67C2211yescharacteristic, complemented
175#440×C67C2211yescharacteristic, complemented
176#440×C67C2211yescharacteristic, complemented
177C4×Q16×C67C2211yescharacteristic, complemented
178C4×SD16×C67C2211yescharacteristic, complemented
179C4×SD16×C67C2211yescharacteristic, complemented
180C4×D8×C67C2211yescharacteristic, complemented
181#436×C67C2211yescharacteristic
182#436×C67C2211yescharacteristic
183#435×C67C2211yescharacteristic
184#435×C67C2211yescharacteristic
185#435×C67C2211yescharacteristic, complemented
186#435×C67C2211yescharacteristic, complemented
187C8×D4×C67C2211yescharacteristic, complemented
188C8×D4×C67C2211yescharacteristic, complemented
189#433×C67C2211yescharacteristic, complemented
190#433×C67C2211yescharacteristic, complemented
191#419×C67C2211yescharacteristic
192#418×C67C2211yescharacteristic
193#417×C67C2211yescharacteristic, complemented
194#417×C67C2211yescharacteristic, complemented
195#416×C67C2211yescharacteristic
196#416×C67C2211yescharacteristic
197C2×#103×C67C2211yescharacteristic, complemented
198C2×#103×C67C2211yescharacteristic, complemented
199#408×C67C2211yescharacteristic, complemented
200#408×C67C2211yescharacteristic, complemented
201#407×C67C2211yescharacteristic
202C2×C22⋊C8×C67C2211yescharacteristic
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×C67—21no—
210C2×#41×C67—42no—
211C2×#41×C67—42no—
212C2×#41×C67C2311yescharacteristic
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×C67C2311yescharacteristic
225C22×Q8×C67C2311yescharacteristic
226C22×Q8×C67C2311yescharacteristic
227C22×Q8×C67C2311yescharacteristic
228C22×D4×C67—21no—
229C22×D4×C67C2311yescharacteristic
230C23×C4×C67—21no—
231C23×C4×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—
238#135×C67—42no—
239#135×C67—42no—
240C2×Q16×C67C2311yescharacteristic
241C2×Q16×C67C2311yescharacteristic
242C2×Q16×C67C2311yescharacteristic
243C2×Q16×C67C2311yescharacteristic
244C2×Q16×C67C2311yescharacteristic
245C2×Q16×C67C2311yescharacteristic
246C2×Q16×C67C2311yescharacteristic
247C2×Q16×C67C2311yescharacteristic
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×C67C2311yescharacteristic
275C4⋊Q8×C67C2311yescharacteristic
276C4⋊Q8×C67C2311yescharacteristic
277#127×C67—21no—
278#127×C67—21no—
279#127×C67C2311yescharacteristic
280#126×C67—21no—
281#126×C67—21no—
282#126×C67—21no—
283#126×C67—21no—
284#126×C67—21no—
285#126×C67—21no—
286#125×C67—21no—
287#125×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×C67C2311yescharacteristic
295#124×C67C2311yescharacteristic
296#123×C67—21no—
297#123×C67—21no—
298#123×C67—21no—
299#123×C67—21no—
300#123×C67—21no—
301#123×C67—21no—
302#123×C67—21no—
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×C67D411yescharacteristic
317#123×C67D411yescharacteristic
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×C67—21no—
331C22⋊Q8×C67D411yescharacteristic
332C22⋊Q8×C67D411yescharacteristic
333C22⋊Q8×C67C2311yescharacteristic
334C22⋊Q8×C67C2311yescharacteristic
335C22⋊Q8×C67C2311yescharacteristic
336C22⋊Q8×C67C2311yescharacteristic
337C22⋊Q8×C67C2311yescharacteristic
338C22⋊Q8×C67C2311yescharacteristic
339C22⋊Q8×C67C2311yescharacteristic
340C22⋊Q8×C67C2311yescharacteristic
341C22⋊Q8×C67C2311yescharacteristic
342C22⋊Q8×C67C2311yescharacteristic
343C22⋊Q8×C67C2311yescharacteristic
344C22⋊Q8×C67C2311yescharacteristic
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×C67—21no—
369#121×C67—21no—
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#120×C67—21no—
381#120×C67—21no—
382#120×C67—21no—
383#120×C67—21no—
384#120×C67D411yescharacteristic
385#120×C67D411yescharacteristic
386C4×Q8×C67C2311yescharacteristic
387C4×Q8×C67C2311yescharacteristic
388C4×Q8×C67C2311yescharacteristic
389C4×Q8×C67C2311yescharacteristic
390C4×D4×C67—21no—
391C4×D4×C67—21no—
392C4×D4×C67—21no—
393C4×D4×C67—21no—
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×C67C2311yescharacteristic
405C4×D4×C67C2311yescharacteristic
406C4×D4×C67C2311yescharacteristic
407C4×D4×C67C2311yescharacteristic
408C4×D4×C67C2311yescharacteristic
409C4×D4×C67C2311yescharacteristic
410C4×D4×C67C2311yescharacteristic
411C4×D4×C67C2311yescharacteristic
412#117×C67—21no—
413#117×C67—21no—
414#117×C67—21no—
415#117×C67C2311yescharacteristic
416#117×C67C2311yescharacteristic
417#117×C67C2311yescharacteristic
418C2×C4⋊C4×C67—21no—
419C2×C4⋊C4×C67—21no—
420C2×C4⋊C4×C67—21no—
421C2×C4⋊C4×C67—21no—
422C2×C4⋊C4×C67—21no—
423C2×C4⋊C4×C67—21no—
424C2×C4⋊C4×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#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—
491C24×C67C2×D411yescharacteristic
492#41×C67—22no—
493#41×C67—22no—
494#41×C67—22no—
495#41×C67—22no—
496#41×C67—22no—
497#41×C67—22no—
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—44no—
507#41×C67—44no—
508#41×C67—41no—
509#41×C67—41no—
510#41×C67—41no—
511#41×C67—41no—
512#41×C67—41no—
513#41×C67—41no—
514#41×C67—41no—
515#41×C67—41no—
516#41×C67—44no—
517#41×C67—44no—
518#41×C67—44no—
519C2×Q8×C67—21no—
520C2×Q8×C67—21no—
521C2×Q8×C67—21no—
522C2×Q8×C67—21no—
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—44no—
532C2×Q8×C67C2×D411yescharacteristic
533C2×Q8×C67C2411yescharacteristic
534C2×Q8×C67C2411yescharacteristic
535C2×Q8×C67C2411yescharacteristic
536C2×Q8×C67C2411yescharacteristic
537C2×Q8×C67C2411yescharacteristic
538C2×Q8×C67C2411yescharacteristic
539C2×D4×C67—21no—
540C2×D4×C67—22no—
541C2×D4×C67—21no—
542C2×D4×C67—21no—
543C2×D4×C67—21no—
544C2×D4×C67—21no—
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—41no—
562C2×D4×C67—44no—
563C2×D4×C67C2×D411yescharacteristic
564C2×D4×C67C2×D411yescharacteristic
565C2×D4×C67C2×D411yescharacteristic
566C2×D4×C67C2×D411yescharacteristic
567C2×D4×C67C2×D411yescharacteristic
568C2×D4×C67C2×D411yescharacteristic
569C2×D4×C67C2×D411yescharacteristic
570C2×D4×C67C2411yescharacteristic
571C2×D4×C67C2411yescharacteristic
572C2×D4×C67C2411yescharacteristic
573C2×D4×C67C2411yescharacteristic
574C22×C4×C67—21no—
575C22×C4×C67—21no—
576C22×C4×C67—21no—
577C22×C4×C67—21no—
578C22×C4×C67—21no—
579C22×C4×C67—21no—
580C22×C4×C67—21no—
581C22×C4×C67—21no—
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—41no—
596C22×C4×C67—41no—
597C22×C4×C67—44no—
598C22×C4×C67C2×D411yescharacteristic
599C22×C4×C67C2×D411yescharacteristic
600C22×C4×C67C2×D411yescharacteristic
601C22×C4×C67C2411yescharacteristic
602C22×C4×C67C2411yescharacteristic
603C22×C4×C67C2411yescharacteristic
604C22×C4×C67C2411yescharacteristic
605C22×C4×C67C2411yescharacteristic
606Q16×C67—22no—
607Q16×C67—22no—
608Q16×C67—41no—
609Q16×C67—41no—
610Q16×C67—41no—
611Q16×C67—41no—
612Q16×C67—41no—
613Q16×C67—41no—
614SD16×C67—22no—
615SD16×C67—22no—
616SD16×C67—22no—
617SD16×C67—22no—
618SD16×C67—41no—
619SD16×C67—41no—
620SD16×C67—41no—
621SD16×C67—41no—
622SD16×C67—41no—
623SD16×C67—41no—
624SD16×C67—41no—
625SD16×C67—41no—
626D8×C67—22no—
627D8×C67—22no—
628D8×C67—41no—
629D8×C67—41no—
630M16×C67—41no—
631M16×C67—41no—
632M16×C67—41no—
633M16×C67—41no—
634C2×C8×C67—41no—
635C2×C8×C67—41no—
636C2×C8×C67—41no—
637C2×C8×C67—41no—
638C2×C8×C67C2411yescharacteristic
639C2×C8×C67C2411yescharacteristic
640C2×C8×C67C2411yescharacteristic
641C2×C8×C67C2411yescharacteristic
642C2×C8×C67C2411yescharacteristic
643C2×C8×C67C2411yescharacteristic
644C2×C8×C67C2411yescharacteristic
645C2×C8×C67C2411yescharacteristic
646C4⋊C4×C67—21no—
647C4⋊C4×C67—21no—
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×C67—21no—
674C4⋊C4×C67—21no—
675C4⋊C4×C67C2×D411yescharacteristic
676C4⋊C4×C67C2×D411yescharacteristic
677C4⋊C4×C67C2×D411yescharacteristic
678C4⋊C4×C67C2×D411yescharacteristic
679C4⋊C4×C67C2×D411yescharacteristic
680C4⋊C4×C67C2×D411yescharacteristic
681C4⋊C4×C67C2411yescharacteristic
682C4⋊C4×C67C2411yescharacteristic
683C4⋊C4×C67C2411yescharacteristic
684C4⋊C4×C67C2411yescharacteristic
685C4⋊C4×C67C2411yescharacteristic
686C4⋊C4×C67C2411yescharacteristic
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×C67C2×D411yescharacteristic
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
727C42×C67—21no—
728C42×C67—21no—
729C42×C67—21no—
730C42×C67—21no—
731C42×C67—21no—
732C42×C67—21no—
733C42×C67C2411yescharacteristic
734C42×C67C2411yescharacteristic
735C23×C67—21no—
736C23×C67—21no—
737C23×C67—21no—
738C23×C67—21no—
739C23×C67—41no—
740C23×C67—41no—
741C23×C67—41no—
742C23×C67—42no—
743C23×C67—42no—
744C23×C67—81no—
745C23×C67C22×D411yescharacteristic
746C23×C67C22×D411yescharacteristic
747C23×C67C22×D411yescharacteristic
748C23×C67C22×D411yescharacteristic
749C23×C67C22×D411yescharacteristic
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—21no—
759Q8×C67—21no—
760Q8×C67—21no—
761Q8×C67—41no—
762Q8×C67—42no—
763Q8×C67—42no—
764Q8×C67—42no—
765Q8×C67—42no—
766Q8×C67H(5,𝔽2)12yes—
767D4×C67—24no—
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—42no—
783D4×C67—42no—
784D4×C67—42no—
785D4×C67—42no—
786D4×C67—42no—
787D4×C67—42no—
788D4×C67—81no—
789D4×C67—81no—
790D4×C67—81no—
791D4×C67—81no—
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×C67H(5,𝔽2)12yes—
803C2×C4×C67—24no—
804C2×C4×C67—21no—
805C2×C4×C67—21no—
806C2×C4×C67—21no—
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—41no—
827C2×C4×C67—41no—
828C2×C4×C67—41no—
829C2×C4×C67—42no—
830C2×C4×C67—42no—
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—81no—
839C2×C4×C67—81no—
840C2×C4×C67—81no—
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—22no—
879C22×C67—21no—
880C22×C67—21no—
881C22×C67—21no—
882C22×C67—21no—
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—82no—
895C22×C67—84no—
896C22×C67C23×D411yescharacteristic
897C4×C67—21no—
898C4×C67—21no—
899C4×C67—21no—
900C4×C67—21no—
901C4×C67—21no—
902C4×C67—22no—
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×C67—41no—
918C4×C67C2×H(5,𝔽2)11yescharacteristic
919C4×C67C2×H(5,𝔽2)11yescharacteristic
920#61626C6711yesmaximal, characteristic, direct product factor, Sylow
921C2×C67—41no—
922C2×C67—41no—
923C2×C67—41no—
924C2×C67—41no—
925C2×C67—41no—
926C2×C67—42no—
927C2×C67—81no—
928C2×C67—81no—
929C2×C67—81no—
930C2×C67#348411yescharacteristic
931C2×C67#358411yescharacteristic
932C2×C67#358611yescharacteristic
933#3539C2×C6711yescharacteristic, complemented
934#3489C2×C6711yescharacteristic, complemented
935#3323C2×C6711yescharacteristic, complemented
936#3322C2×C6711yescharacteristic, complemented
937#3320C2×C6711yescharacteristic, complemented
938#3315C2×C6711yescharacteristic, complemented
939#3312C2×C6711yescharacteristic, complemented
940#3307C2×C6711yescharacteristic, complemented
941#3301C2×C6711yescharacteristic, complemented
942#3300C2×C6711yescharacteristic, complemented
943#3284C2×C6711yescharacteristic, complemented
944#3283C2×C6711yescharacteristic, complemented
945#3278C2×C6711yescharacteristic, complemented
946#3276C2×C6711yescharacteristic, complemented
947#3271C2×C6711yescharacteristic, complemented
948#3269C2×C6711yescharacteristic, complemented
949#3268C2×C6711yescharacteristic, complemented
950#3267C2×C6711yescharacteristic, complemented
951#3223C2×C6711yescharacteristic, complemented
952#3221C2×C6711yescharacteristic, complemented
953#3204C2×C6711yescharacteristic, complemented
954#3203C2×C6711yescharacteristic, complemented
955#3196C2×C6711yescharacteristic, complemented
956#3190C2×C6711yescharacteristic, complemented
957#3120C2×C6711yescharacteristic, complemented
958#3119C2×C6711yescharacteristic, complemented
959#3013C2×C6711yescharacteristic, complemented
960#3013C2×C6711yescharacteristic, complemented
961#3005C2×C6711yescharacteristic, complemented
962#3002C2×C6711yescharacteristic, complemented
963#2976C2×C6711yescharacteristic, complemented
964C67#6162611yescharacteristic, direct product factor, Sylow
965C2×2−1+4C22×C6711yescharacteristic
966C22×#41C22×C6711yescharacteristic
967C2×#137C22×C6711yescharacteristic
968C2×#137C22×C6711yescharacteristic, complemented
969C2×#137C22×C6711yescharacteristic, complemented
970C2×AGL(1,ℤ/8)C22×C6711yescharacteristic
971C2×#135C22×C6711yescharacteristic
972C2×#135C22×C6711yescharacteristic
973C2×#135C22×C6711yescharacteristic, complemented
974C2×#135C22×C6711yescharacteristic, complemented
975#560—21no—
976#560—21no—
977#553—21no—
978#553—21no—
979#553C22×C6711yescharacteristic
980#553C22×C6711yescharacteristic, complemented
981#552C22×C6711yescharacteristic
982#552C22×C6711yescharacteristic, complemented
983#550C22×C6711yescharacteristic
984#550C22×C6711yescharacteristic, complemented
985D4×Q8C22×C6711yescharacteristic
986D4×Q8C22×C6711yescharacteristic
987#548C22×C6711yescharacteristic
988#548C22×C6711yescharacteristic
989#547—21no—
990#547—21no—
991#547C22×C6711yescharacteristic
992#547C22×C6711yescharacteristic
993#547C22×C6711yescharacteristic
994#547C22×C6711yescharacteristic, complemented
995#546—21no—
996#546—21no—
997#546C22×C6711yescharacteristic
998#546C22×C6711yescharacteristic
999#541C22×C6711yescharacteristic, complemented
1000#540—21no—
1001#540—21no—
1002#540C22×C6711yescharacteristic, complemented
1003#539—21no—
1004#539—21no—
1005#537—21no—
1006#537C22×C6711yescharacteristic
1007#537C22×C6711yescharacteristic, complemented
1008#537C22×C6711yescharacteristic, complemented
1009#536—21no—
1010#536C22×C6711yescharacteristic
1011#525—21no—
1012#525C22×C6711yescharacteristic
1013#525C22×C6711yescharacteristic
1014#525C22×C6711yescharacteristic
1015C2×C22⋊Q8—21no—
1016C2×C22⋊Q8C22×C6711yescharacteristic
1017#520C22×C6711yescharacteristic
1018#497C22×C6711yescharacteristic, complemented
1019#496C22×C6711yescharacteristic, complemented
1020#494C22×C6711yescharacteristic, complemented
1021#492C22×C6711yescharacteristic, complemented
1022#491C22×C6711yescharacteristic, complemented
1023#491C22×C6711yescharacteristic, complemented
1024#488C22×C6711yescharacteristic, complemented
1025#488C22×C6711yescharacteristic, complemented
1026#485C22×C6711yescharacteristic
1027#485C22×C6711yescharacteristic
1028#485C22×C6711yescharacteristic, complemented
1029#485C22×C6711yescharacteristic, complemented
1030#484C22×C6711yescharacteristic, complemented
1031#484C22×C6711yescharacteristic, complemented
1032#483C22×C6711yescharacteristic, complemented
1033#483C22×C6711yescharacteristic, complemented
1034#481C22×C6711yescharacteristic, complemented
1035#481C22×C6711yescharacteristic, complemented
1036#480C22×C6711yescharacteristic, complemented
1037#480C22×C6711yescharacteristic, complemented
1038#479C22×C6711yescharacteristic, complemented
1039#479C22×C6711yescharacteristic, complemented
1040#478C22×C6711yescharacteristic, complemented
1041#478C22×C6711yescharacteristic, complemented
1042#470C22×C6711yescharacteristic
1043#470C22×C6711yescharacteristic
1044#470C22×C6711yescharacteristic, complemented
1045#469C22×C6711yescharacteristic, complemented
1046#468C22×C6711yescharacteristic
1047#468C22×C6711yescharacteristic
1048#468C22×C6711yescharacteristic, complemented
1049#468C22×C6711yescharacteristic, complemented
1050#467C22×C6711yescharacteristic, complemented
1051#467C22×C6711yescharacteristic, complemented
1052#467C22×C6711yescharacteristic, complemented
1053#466C22×C6711yescharacteristic, complemented
1054#465C22×C6711yescharacteristic, complemented
1055#465C22×C6711yescharacteristic, complemented
1056#465C22×C6711yescharacteristic, complemented
1057#465C22×C6711yescharacteristic, complemented
1058#464C22×C6711yescharacteristic, complemented
1059#464C22×C6711yescharacteristic, complemented
1060#463C22×C6711yescharacteristic, complemented
1061#463C22×C6711yescharacteristic, complemented
1062#462C22×C6711yescharacteristic, complemented
1063#462C22×C6711yescharacteristic, complemented
1064#462C22×C6711yescharacteristic, complemented
1065#461C22×C6711yescharacteristic, complemented
1066#461C22×C6711yescharacteristic, complemented
1067#461C22×C6711yescharacteristic, complemented
1068#460C22×C6711yescharacteristic, complemented
1069#459C22×C6711yescharacteristic, complemented
1070#452C22×C6711yescharacteristic
1071#452C22×C6711yescharacteristic
1072#452C22×C6711yescharacteristic
1073#452C22×C6711yescharacteristic
1074#452C22×C6711yescharacteristic
1075#452C22×C6711yescharacteristic
1076#452C22×C6711yescharacteristic
1077#452C22×C6711yescharacteristic
1078#452C22×C6711yescharacteristic, complemented
1079#452C22×C6711yescharacteristic, complemented
1080#452C22×C6711yescharacteristic, complemented
1081#452C22×C6711yescharacteristic, complemented
1082#452C22×C6711yescharacteristic, complemented
1083#452C22×C6711yescharacteristic, complemented
1084#451C22×C6711yescharacteristic
1085#451C22×C6711yescharacteristic, complemented
1086#451C22×C6711yescharacteristic, complemented
1087#451C22×C6711yescharacteristic, complemented
1088#451C22×C6711yescharacteristic, complemented
1089#450C22×C6711yescharacteristic
1090#449C22×C6711yescharacteristic
1091#449C22×C6711yescharacteristic
1092#449C22×C6711yescharacteristic
1093#449C22×C6711yescharacteristic
1094#449C22×C6711yescharacteristic
1095#449C22×C6711yescharacteristic
1096#449C22×C6711yescharacteristic, complemented
1097#449C22×C6711yescharacteristic, complemented
1098#449C22×C6711yescharacteristic, complemented
1099#449C22×C6711yescharacteristic, complemented
1100#448C22×C6711yescharacteristic
1101#448C22×C6711yescharacteristic, complemented
1102#448C22×C6711yescharacteristic, complemented
1103#448C22×C6711yescharacteristic, complemented
1104#448C22×C6711yescharacteristic, complemented
1105#447C22×C6711yescharacteristic
1106#442C22×C6711yescharacteristic, complemented
1107#441C22×C6711yescharacteristic, complemented
1108#440C22×C6711yescharacteristic, complemented
1109#440C22×C6711yescharacteristic, complemented
1110C4×Q16C22×C6711yescharacteristic, complemented
1111C4×SD16C22×C6711yescharacteristic, complemented
1112C4×SD16C22×C6711yescharacteristic, complemented
1113C4×D8C22×C6711yescharacteristic, complemented
1114#436C22×C6711yescharacteristic
1115#436C22×C6711yescharacteristic
1116#435C22×C6711yescharacteristic
1117#435C22×C6711yescharacteristic
1118#435C22×C6711yescharacteristic, complemented
1119#435C22×C6711yescharacteristic, complemented
1120C8×D4C22×C6711yescharacteristic, complemented
1121C8×D4C22×C6711yescharacteristic, complemented
1122#433C22×C6711yescharacteristic, complemented
1123#433C22×C6711yescharacteristic, complemented
1124#419C22×C6711yescharacteristic
1125#418C22×C6711yescharacteristic
1126#417C22×C6711yescharacteristic, complemented
1127#417C22×C6711yescharacteristic, complemented
1128#416C22×C6711yescharacteristic
1129#416C22×C6711yescharacteristic
1130C2×#103C22×C6711yescharacteristic, complemented
1131C2×#103C22×C6711yescharacteristic, complemented
1132#408C22×C6711yescharacteristic, complemented
1133#408C22×C6711yescharacteristic, complemented
1134#407C22×C6711yescharacteristic
1135C2×C22⋊C8C22×C6711yescharacteristic
11362−1+4—42no—
11372−1+4—42no—
1138C2×#41—21no—
1139C2×#41—21no—
1140C2×#41—21no—
1141C2×#41—21no—
1142C2×#41—21no—
1143C2×#41—42no—
1144C2×#41—42no—
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
1155C2×#41C23×C6711yescharacteristic
1156C22×Q8—21no—
1157C22×Q8C23×C6711yescharacteristic
1158C22×Q8C23×C6711yescharacteristic
1159C22×Q8C23×C6711yescharacteristic
1160C22×Q8C23×C6711yescharacteristic
1161C22×D4—21no—
1162C22×D4C23×C6711yescharacteristic
1163C23×C4—21no—
1164C23×C4C23×C6711yescharacteristic
1165#137—42no—
1166#137—42no—
1167#137—42no—
1168AGL(1,ℤ/8)—42no—
1169#135—42no—
1170#135—42no—
1171#135—42no—
1172#135—42no—
1173C2×Q16C23×C6711yescharacteristic
1174C2×Q16C23×C6711yescharacteristic
1175C2×Q16C23×C6711yescharacteristic
1176C2×Q16C23×C6711yescharacteristic
1177C2×Q16C23×C6711yescharacteristic
1178C2×Q16C23×C6711yescharacteristic
1179C2×Q16C23×C6711yescharacteristic
1180C2×Q16C23×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×SD16C23×C6711yescharacteristic
1193C2×D8C23×C6711yescharacteristic
1194C2×D8C23×C6711yescharacteristic
1195C2×D8C23×C6711yescharacteristic
1196C2×D8C23×C6711yescharacteristic
1197C2×M16C23×C6711yescharacteristic
1198C2×M16C23×C6711yescharacteristic
1199C2×M16C23×C6711yescharacteristic
1200C2×M16C23×C6711yescharacteristic
1201C22×C8C23×C6711yescharacteristic
1202C22×C8C23×C6711yescharacteristic
1203C22×C8C23×C6711yescharacteristic
1204C22×C8C23×C6711yescharacteristic
1205C4⋊Q8—21no—
1206C4⋊Q8—21no—
1207C4⋊Q8C23×C6711yescharacteristic
1208C4⋊Q8C23×C6711yescharacteristic
1209C4⋊Q8C23×C6711yescharacteristic
1210#127—21no—
1211#127—21no—
1212#127C23×C6711yescharacteristic
1213#126—21no—
1214#126—21no—
1215#126—21no—
1216#126—21no—
1217#126—21no—
1218#126—21no—
1219#125—21no—
1220#125—21no—
1221#125—21no—
1222#125—21no—
1223#125C23×C6711yescharacteristic
1224#125C23×C6711yescharacteristic
1225#124—21no—
1226#124—21no—
1227#124C23×C6711yescharacteristic
1228#124C23×C6711yescharacteristic
1229#123—21no—
1230#123—21no—
1231#123—21no—
1232#123—21no—
1233#123—21no—
1234#123—21no—
1235#123—21no—
1236#123—21no—
1237#123—21no—
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—
1248#123—21no—
1249#123D4×C6711yescharacteristic
1250#123D4×C6711yescharacteristic
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⋊Q8—21no—
1263C22⋊Q8—21no—
1264C22⋊Q8D4×C6711yescharacteristic
1265C22⋊Q8D4×C6711yescharacteristic
1266C22⋊Q8C23×C6711yescharacteristic
1267C22⋊Q8C23×C6711yescharacteristic
1268C22⋊Q8C23×C6711yescharacteristic
1269C22⋊Q8C23×C6711yescharacteristic
1270C22⋊Q8C23×C6711yescharacteristic
1271C22⋊Q8C23×C6711yescharacteristic
1272C22⋊Q8C23×C6711yescharacteristic
1273C22⋊Q8C23×C6711yescharacteristic
1274C22⋊Q8C23×C6711yescharacteristic
1275C22⋊Q8C23×C6711yescharacteristic
1276C22⋊Q8C23×C6711yescharacteristic
1277C22⋊Q8C23×C6711yescharacteristic
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#121—21no—
1301#121—21no—
1302#121—21no—
1303#121D4×C6711yescharacteristic
1304#121D4×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#120—21no—
1314#120—21no—
1315#120—21no—
1316#120—21no—
1317#120D4×C6711yescharacteristic
1318#120D4×C6711yescharacteristic
1319C4×Q8C23×C6711yescharacteristic
1320C4×Q8C23×C6711yescharacteristic
1321C4×Q8C23×C6711yescharacteristic
1322C4×Q8C23×C6711yescharacteristic
1323C4×D4—21no—
1324C4×D4—21no—
1325C4×D4—21no—
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×D4C23×C6711yescharacteristic
1338C4×D4C23×C6711yescharacteristic
1339C4×D4C23×C6711yescharacteristic
1340C4×D4C23×C6711yescharacteristic
1341C4×D4C23×C6711yescharacteristic
1342C4×D4C23×C6711yescharacteristic
1343C4×D4C23×C6711yescharacteristic
1344C4×D4C23×C6711yescharacteristic
1345#117—21no—
1346#117—21no—
1347#117—21no—
1348#117C23×C6711yescharacteristic
1349#117C23×C6711yescharacteristic
1350#117C23×C6711yescharacteristic
1351C2×C4⋊C4—21no—
1352C2×C4⋊C4—21no—
1353C2×C4⋊C4—21no—
1354C2×C4⋊C4—21no—
1355C2×C4⋊C4—21no—
1356C2×C4⋊C4—21no—
1357C2×C4⋊C4C23×C6711yescharacteristic
1358C2×C4⋊C4C23×C6711yescharacteristic
1359C2×C4⋊C4C23×C6711yescharacteristic
1360C2×C22⋊C4—21no—
1361C2×C22⋊C4—21no—
1362C2×C22⋊C4—21no—
1363#107C23×C6711yescharacteristic
1364#107C23×C6711yescharacteristic
1365#107C23×C6711yescharacteristic
1366#107C23×C6711yescharacteristic
1367#106C23×C6711yescharacteristic
1368#106C23×C6711yescharacteristic
1369#106C23×C6711yescharacteristic
1370#106C23×C6711yescharacteristic
1371C4⋊C8C23×C6711yescharacteristic
1372C4⋊C8C23×C6711yescharacteristic
1373C4⋊C8C23×C6711yescharacteristic
1374C4⋊C8C23×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#103C23×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
1406#102C23×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
1418C22⋊C8C23×C6711yescharacteristic
1419#97C23×C6711yescharacteristic
1420#97C23×C6711yescharacteristic
1421C4×C8C23×C6711yescharacteristic
1422C4×C8C23×C6711yescharacteristic
1423C24—21no—
1424C24C2×D4×C6711yescharacteristic
1425#41—22no—
1426#41—22no—
1427#41—22no—
1428#41—22no—
1429#41—22no—
1430#41—22no—
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—41no—
1442#41—41no—
1443#41—41no—
1444#41—41no—
1445#41—41no—
1446#41—41no—
1447#41—41no—
1448#41—41no—
1449#41—44no—
1450#41—44no—
1451#41—44no—
1452C2×Q8—21no—
1453C2×Q8—21no—
1454C2×Q8—21no—
1455C2×Q8—21no—
1456C2×Q8—22no—
1457C2×Q8—22no—
1458C2×Q8—22no—
1459C2×Q8—41no—
1460C2×Q8—41no—
1461C2×Q8—41no—
1462C2×Q8—41no—
1463C2×Q8—41no—
1464C2×Q8—44no—
1465C2×Q8C2×D4×C6711yescharacteristic
1466C2×Q8C24×C6711yescharacteristic
1467C2×Q8C24×C6711yescharacteristic
1468C2×Q8C24×C6711yescharacteristic
1469C2×Q8C24×C6711yescharacteristic
1470C2×Q8C24×C6711yescharacteristic
1471C2×Q8C24×C6711yescharacteristic
1472C2×D4—21no—
1473C2×D4—22no—
1474C2×D4—21no—
1475C2×D4—21no—
1476C2×D4—21no—
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—41no—
1495C2×D4—44no—
1496C2×D4C2×D4×C6711yescharacteristic
1497C2×D4C2×D4×C6711yescharacteristic
1498C2×D4C2×D4×C6711yescharacteristic
1499C2×D4C2×D4×C6711yescharacteristic
1500C2×D4C2×D4×C6711yescharacteristic
1501C2×D4C2×D4×C6711yescharacteristic
1502C2×D4C2×D4×C6711yescharacteristic
1503C2×D4C24×C6711yescharacteristic
1504C2×D4C24×C6711yescharacteristic
1505C2×D4C24×C6711yescharacteristic
1506C2×D4C24×C6711yescharacteristic
1507C22×C4—21no—
1508C22×C4—21no—
1509C22×C4—21no—
1510C22×C4—21no—
1511C22×C4—21no—
1512C22×C4—21no—
1513C22×C4—21no—
1514C22×C4—21no—
1515C22×C4—21no—
1516C22×C4—21no—
1517C22×C4—21no—
1518C22×C4—21no—
1519C22×C4—21no—
1520C22×C4—21no—
1521C22×C4—21no—
1522C22×C4—21no—
1523C22×C4—21no—
1524C22×C4—21no—
1525C22×C4—21no—
1526C22×C4—21no—
1527C22×C4—21no—
1528C22×C4—41no—
1529C22×C4—41no—
1530C22×C4—44no—
1531C22×C4C2×D4×C6711yescharacteristic
1532C22×C4C2×D4×C6711yescharacteristic
1533C22×C4C2×D4×C6711yescharacteristic
1534C22×C4C24×C6711yescharacteristic
1535C22×C4C24×C6711yescharacteristic
1536C22×C4C24×C6711yescharacteristic
1537C22×C4C24×C6711yescharacteristic
1538C22×C4C24×C6711yescharacteristic
1539Q16—22no—
1540Q16—22no—
1541Q16—41no—
1542Q16—41no—
1543Q16—41no—
1544Q16—41no—
1545Q16—41no—
1546Q16—41no—
1547SD16—22no—
1548SD16—22no—
1549SD16—22no—
1550SD16—22no—
1551SD16—41no—
1552SD16—41no—
1553SD16—41no—
1554SD16—41no—
1555SD16—41no—
1556SD16—41no—
1557SD16—41no—
1558SD16—41no—
1559D8—22no—
1560D8—22no—
1561D8—41no—
1562D8—41no—
1563M16—41no—
1564M16—41no—
1565M16—41no—
1566M16—41no—
1567C2×C8—41no—
1568C2×C8—41no—
1569C2×C8—41no—
1570C2×C8—41no—
1571C2×C8C24×C6711yescharacteristic
1572C2×C8C24×C6711yescharacteristic
1573C2×C8C24×C6711yescharacteristic
1574C2×C8C24×C6711yescharacteristic
1575C2×C8C24×C6711yescharacteristic
1576C2×C8C24×C6711yescharacteristic
1577C2×C8C24×C6711yescharacteristic
1578C2×C8C24×C6711yescharacteristic
1579C4⋊C4—21no—
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⋊C4—21no—
1606C4⋊C4—21no—
1607C4⋊C4—21no—
1608C4⋊C4C2×D4×C6711yescharacteristic
1609C4⋊C4C2×D4×C6711yescharacteristic
1610C4⋊C4C2×D4×C6711yescharacteristic
1611C4⋊C4C2×D4×C6711yescharacteristic
1612C4⋊C4C2×D4×C6711yescharacteristic
1613C4⋊C4C2×D4×C6711yescharacteristic
1614C4⋊C4C24×C6711yescharacteristic
1615C4⋊C4C24×C6711yescharacteristic
1616C4⋊C4C24×C6711yescharacteristic
1617C4⋊C4C24×C6711yescharacteristic
1618C4⋊C4C24×C6711yescharacteristic
1619C4⋊C4C24×C6711yescharacteristic
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⋊C4—21no—
1648C22⋊C4—21no—
1649C22⋊C4—21no—
1650C22⋊C4C2×D4×C6711yescharacteristic
1651C22⋊C4C2×D4×C6711yescharacteristic
1652C22⋊C4C2×D4×C6711yescharacteristic
1653C22⋊C4C2×D4×C6711yescharacteristic
1654C22⋊C4C2×D4×C6711yescharacteristic
1655C22⋊C4C2×D4×C6711yescharacteristic
1656C22⋊C4C2×D4×C6711yescharacteristic
1657C22⋊C4C2×D4×C6711yescharacteristic
1658C22⋊C4C2×D4×C6711yescharacteristic
1659C22⋊C4C2×D4×C6711yescharacteristic
1660C42—21no—
1661C42—21no—
1662C42—21no—
1663C42—21no—
1664C42—21no—
1665C42—21no—
1666C42C24×C6711yescharacteristic
1667C42C24×C6711yescharacteristic
1668C23—21no—
1669C23—21no—
1670C23—21no—
1671C23—21no—
1672C23—41no—
1673C23—41no—
1674C23—41no—
1675C23—42no—
1676C23—42no—
1677C23—81no—
1678C23C22×D4×C6711yescharacteristic
1679C23C22×D4×C6711yescharacteristic
1680C23C22×D4×C6711yescharacteristic
1681C23C22×D4×C6711yescharacteristic
1682C23C22×D4×C6711yescharacteristic
1683Q8—21no—
1684Q8—21no—
1685Q8—21no—
1686Q8—21no—
1687Q8—21no—
1688Q8—21no—
1689Q8—21no—
1690Q8—21no—
1691Q8—21no—
1692Q8—21no—
1693Q8—21no—
1694Q8—41no—
1695Q8—42no—
1696Q8—42no—
1697Q8—42no—
1698Q8—42no—
1699Q8H(5,𝔽2)×C6712yes—
1700D4—24no—
1701D4—21no—
1702D4—21no—
1703D4—21no—
1704D4—21no—
1705D4—21no—
1706D4—21no—
1707D4—21no—
1708D4—41no—
1709D4—41no—
1710D4—41no—
1711D4—41no—
1712D4—41no—
1713D4—41no—
1714D4—41no—
1715D4—42no—
1716D4—42no—
1717D4—42no—
1718D4—42no—
1719D4—42no—
1720D4—42no—
1721D4—81no—
1722D4—81no—
1723D4—81no—
1724D4—81no—
1725D4—81no—
1726D4—81no—
1727D4—81no—
1728D4—81no—
1729D4—81no—
1730D4—81no—
1731D4—81no—
1732D4—81no—
1733D4—81no—
1734D4—81no—
1735D4H(5,𝔽2)×C6712yes—
1736C2×C4—24no—
1737C2×C4—21no—
1738C2×C4—21no—
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—41no—
1760C2×C4—41no—
1761C2×C4—41no—
1762C2×C4—42no—
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—81no—
1772C2×C4—81no—
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×C4—81no—
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×C4C22×D4×C6711yescharacteristic
1791C2×C4C25×C6711yescharacteristic
1792C8—21no—
1793C8—21no—
1794C8—21no—
1795C8—21no—
1796C8—21no—
1797C8—21no—
1798C8—21no—
1799C8—21no—
1800C22—21no—
1801C22—21no—
1802C22—21no—
1803C22—21no—
1804C22—21no—
1805C22—21no—
1806C22—21no—
1807C22—21no—
1808C22—21no—
1809C22—21no—
1810C22—21no—
1811C22—22no—
1812C22—21no—
1813C22—21no—
1814C22—21no—
1815C22—21no—
1816C22—41no—
1817C22—41no—
1818C22—41no—
1819C22—41no—
1820C22—41no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—82no—
1828C22—84no—
1829C22C23×D4×C6711yescharacteristic
1830C4—21no—
1831C4—21no—
1832C4—21no—
1833C4—21no—
1834C4—21no—
1835C4—22no—
1836C4—21no—
1837C4—21no—
1838C4—21no—
1839C4—21no—
1840C4—41no—
1841C4—41no—
1842C4—41no—
1843C4—41no—
1844C4—41no—
1845C4—41no—
1846C4—41no—
1847C4—41no—
1848C4—41no—
1849C4—41no—
1850C4—41no—
1851C4C2×H(5,𝔽2)×C6711yescharacteristic
1852C4C2×H(5,𝔽2)×C6711yescharacteristic
1853C2—41no—
1854C2—41no—
1855C2—41no—
1856C2—41no—
1857C2—41no—
1858C2—42no—
1859C2—81no—
1860C2—81no—
1861C2—81no—
1862C2C67×#348411yescharacteristic
1863C2C67×#358411yescharacteristic
1864C2C67×#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×#3539C2semidirect
2. C67×#3489C2semidirect
3. C67×#3323C2semidirect
4. C67×#3322C2semidirect
5. C67×#3320C2semidirect
6. C67×#3315C2semidirect
7. C67×#3312C2semidirect
8. C67×#3307C2semidirect
9. C67×#3301C2semidirect
10. C67×#3300C2semidirect
11. C67×#3284C2semidirect
12. C67×#3283C2semidirect
13. C67×#3278C2semidirect
14. C67×#3276C2semidirect
15. C67×#3271C2semidirect
16. C67×#3269C2semidirect
17. C67×#3268C2semidirect
18. C67×#3267C2semidirect
19. C67×#3223C2semidirect
20. C67×#3221C2semidirect
21. C67×#3204C2semidirect
22. C67×#3203C2semidirect
23. C67×#3196C2semidirect
24. C67×#3190C2semidirect
25. C67×#3120C2semidirect
26. C67×#3119C2semidirect
27. C67×#3013C2semidirect
28. C67×#3013C2semidirect
29. C67×#3005C2semidirect
30. C67×#3002C2semidirect
31. C67×#2976C2semidirect
35. C2×#137×C67C22semidirect
36. C2×#137×C67C22semidirect
40. C2×#135×C67C22semidirect
41. C2×#135×C67C22semidirect
47. #553×C67C22semidirect
49. #552×C67C22semidirect
51. #550×C67C22semidirect
61. #547×C67C22semidirect
66. #541×C67C22semidirect
69. #540×C67C22semidirect
74. #537×C67C22semidirect
75. #537×C67C22semidirect
85. #497×C67C22semidirect
86. #496×C67C22semidirect
87. #494×C67C22semidirect
88. #492×C67C22semidirect
89. #491×C67C22semidirect
90. #491×C67C22semidirect
91. #488×C67C22semidirect
92. #488×C67C22semidirect
95. #485×C67C22semidirect
96. #485×C67C22semidirect
97. #484×C67C22semidirect
98. #484×C67C22semidirect
99. #483×C67C22semidirect
100. #483×C67C22semidirect
101. #481×C67C22semidirect
102. #481×C67C22semidirect
103. #480×C67C22semidirect
104. #480×C67C22semidirect
105. #479×C67C22semidirect
106. #479×C67C22semidirect
107. #478×C67C22semidirect
108. #478×C67C22semidirect
111. #470×C67C22semidirect
112. #469×C67C22semidirect
115. #468×C67C22semidirect
116. #468×C67C22semidirect
117. #467×C67C22semidirect
118. #467×C67C22semidirect
119. #467×C67C22semidirect
120. #466×C67C22semidirect
121. #465×C67C22semidirect
122. #465×C67C22semidirect
123. #465×C67C22semidirect
124. #465×C67C22semidirect
125. #464×C67C22semidirect
126. #464×C67C22semidirect
127. #463×C67C22semidirect
128. #463×C67C22semidirect
129. #462×C67C22semidirect
130. #462×C67C22semidirect
131. #462×C67C22semidirect
132. #461×C67C22semidirect
133. #461×C67C22semidirect
134. #461×C67C22semidirect
135. #460×C67C22semidirect
136. #459×C67C22semidirect
145. #452×C67C22semidirect
146. #452×C67C22semidirect
147. #452×C67C22semidirect
148. #452×C67C22semidirect
149. #452×C67C22semidirect
150. #452×C67C22semidirect
152. #451×C67C22semidirect
153. #451×C67C22semidirect
154. #451×C67C22semidirect
155. #451×C67C22semidirect
163. #449×C67C22semidirect
164. #449×C67C22semidirect
165. #449×C67C22semidirect
166. #449×C67C22semidirect
168. #448×C67C22semidirect
169. #448×C67C22semidirect
170. #448×C67C22semidirect
171. #448×C67C22semidirect
173. #442×C67C22semidirect
174. #441×C67C22semidirect
175. #440×C67C22semidirect
176. #440×C67C22semidirect
177. C4×Q16×C67C22semidirect
178. C4×SD16×C67C22semidirect
179. C4×SD16×C67C22semidirect
180. C4×D8×C67C22semidirect
185. #435×C67C22semidirect
186. #435×C67C22semidirect
187. C8×D4×C67C22semidirect
188. C8×D4×C67C22semidirect
189. #433×C67C22semidirect
190. #433×C67C22semidirect
193. #417×C67C22semidirect
194. #417×C67C22semidirect
197. C2×#103×C67C22semidirect
198. C2×#103×C67C22semidirect
199. #408×C67C22semidirect
200. #408×C67C22semidirect
920. #61626C67direct (N × H)
933. #3539C2×C67semidirect
934. #3489C2×C67semidirect
935. #3323C2×C67semidirect
936. #3322C2×C67semidirect
937. #3320C2×C67semidirect
938. #3315C2×C67semidirect
939. #3312C2×C67semidirect
940. #3307C2×C67semidirect
941. #3301C2×C67semidirect
942. #3300C2×C67semidirect
943. #3284C2×C67semidirect
944. #3283C2×C67semidirect
945. #3278C2×C67semidirect
946. #3276C2×C67semidirect
947. #3271C2×C67semidirect
948. #3269C2×C67semidirect
949. #3268C2×C67semidirect
950. #3267C2×C67semidirect
951. #3223C2×C67semidirect
952. #3221C2×C67semidirect
953. #3204C2×C67semidirect
954. #3203C2×C67semidirect
955. #3196C2×C67semidirect
956. #3190C2×C67semidirect
957. #3120C2×C67semidirect
958. #3119C2×C67semidirect
959. #3013C2×C67semidirect
960. #3013C2×C67semidirect
961. #3005C2×C67semidirect
962. #3002C2×C67semidirect
963. #2976C2×C67semidirect
964. C67#61626direct (N × H)
968. C2×#137C22×C67semidirect
969. C2×#137C22×C67semidirect
973. C2×#135C22×C67semidirect
974. C2×#135C22×C67semidirect
980. #553C22×C67semidirect
982. #552C22×C67semidirect
984. #550C22×C67semidirect
994. #547C22×C67semidirect
999. #541C22×C67semidirect
1002. #540C22×C67semidirect
1007. #537C22×C67semidirect
1008. #537C22×C67semidirect
1018. #497C22×C67semidirect
1019. #496C22×C67semidirect
1020. #494C22×C67semidirect
1021. #492C22×C67semidirect
1022. #491C22×C67semidirect
1023. #491C22×C67semidirect
1024. #488C22×C67semidirect
1025. #488C22×C67semidirect
1028. #485C22×C67semidirect
1029. #485C22×C67semidirect
1030. #484C22×C67semidirect
1031. #484C22×C67semidirect
1032. #483C22×C67semidirect
1033. #483C22×C67semidirect
1034. #481C22×C67semidirect
1035. #481C22×C67semidirect
1036. #480C22×C67semidirect
1037. #480C22×C67semidirect
1038. #479C22×C67semidirect
1039. #479C22×C67semidirect
1040. #478C22×C67semidirect
1041. #478C22×C67semidirect
1044. #470C22×C67semidirect
1045. #469C22×C67semidirect
1048. #468C22×C67semidirect
1049. #468C22×C67semidirect
1050. #467C22×C67semidirect
1051. #467C22×C67semidirect
1052. #467C22×C67semidirect
1053. #466C22×C67semidirect
1054. #465C22×C67semidirect
1055. #465C22×C67semidirect
1056. #465C22×C67semidirect
1057. #465C22×C67semidirect
1058. #464C22×C67semidirect
1059. #464C22×C67semidirect
1060. #463C22×C67semidirect
1061. #463C22×C67semidirect
1062. #462C22×C67semidirect
1063. #462C22×C67semidirect
1064. #462C22×C67semidirect
1065. #461C22×C67semidirect
1066. #461C22×C67semidirect
1067. #461C22×C67semidirect
1068. #460C22×C67semidirect
1069. #459C22×C67semidirect
1078. #452C22×C67semidirect
1079. #452C22×C67semidirect
1080. #452C22×C67semidirect
1081. #452C22×C67semidirect
1082. #452C22×C67semidirect
1083. #452C22×C67semidirect
1085. #451C22×C67semidirect
1086. #451C22×C67semidirect
1087. #451C22×C67semidirect
1088. #451C22×C67semidirect
1096. #449C22×C67semidirect
1097. #449C22×C67semidirect
1098. #449C22×C67semidirect
1099. #449C22×C67semidirect
1101. #448C22×C67semidirect
1102. #448C22×C67semidirect
1103. #448C22×C67semidirect
1104. #448C22×C67semidirect
1106. #442C22×C67semidirect
1107. #441C22×C67semidirect
1108. #440C22×C67semidirect
1109. #440C22×C67semidirect
1110. C4×Q16C22×C67semidirect
1111. C4×SD16C22×C67semidirect
1112. C4×SD16C22×C67semidirect
1113. C4×D8C22×C67semidirect
1118. #435C22×C67semidirect
1119. #435C22×C67semidirect
1120. C8×D4C22×C67semidirect
1121. C8×D4C22×C67semidirect
1122. #433C22×C67semidirect
1123. #433C22×C67semidirect
1126. #417C22×C67semidirect
1127. #417C22×C67semidirect
1130. C2×#103C22×C67semidirect
1131. C2×#103C22×C67semidirect
1132. #408C22×C67semidirect
1133. #408C22×C67semidirect

Maximal subgroups

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

subgroupindex
C67×#35392
C67×#34892
C67×#33232
C67×#33222
C67×#33202
C67×#33152
C67×#33122
C67×#33072
C67×#33012
C67×#33002
C67×#32842
C67×#32832
C67×#32782
C67×#32762
C67×#32712
C67×#32692
C67×#32682
C67×#32672
C67×#32232
C67×#32212
C67×#32042
C67×#32032
C67×#31962
C67×#31902
C67×#31202
C67×#31192
C67×#30132
C67×#30052
C67×#30022
C67×#29762
#6162667