Finite Group Databasebeta

← C67×#61642 #30740893

Subgroups — C67×#61642 #30740893

Order 17152.

2042 conjugacy classes of subgroups.

The subgroup lattice has 1850 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C67×#3541C211yesmaximal, characteristic, complemented
2C67×#3489C211yesmaximal, characteristic, complemented
3C67×#3320C211yesmaximal, characteristic, complemented
4C67×#3315C211yesmaximal, characteristic, complemented
5C67×#3314C211yesmaximal, characteristic, complemented
6C67×#3313C211yesmaximal, characteristic, complemented
7C67×#3302C211yesmaximal, characteristic, complemented
8C67×#3300C211yesmaximal, characteristic, complemented
9C67×#3299C211yesmaximal, characteristic, complemented
10C67×#3297C211yesmaximal, characteristic, complemented
11D4×Q16×C67C211yesmaximal, characteristic, complemented
12C67×#3285C211yesmaximal, characteristic, complemented
13C67×#3283C211yesmaximal, characteristic, complemented
14C67×#3282C211yesmaximal, characteristic, complemented
15C67×#3270C211yesmaximal, characteristic, complemented
16C67×#3269C211yesmaximal, characteristic, complemented
17C67×#3269C211yesmaximal, characteristic, complemented
18C67×#3266C211yesmaximal, characteristic, complemented
19C67×#3225C211yesmaximal, characteristic, complemented
20C67×#3223C211yesmaximal, characteristic, complemented
21C67×#3203C211yesmaximal, characteristic, complemented
22C67×#3201C211yesmaximal, characteristic, complemented
23C67×#3190C211yesmaximal, characteristic, complemented
24C67×#3189C211yesmaximal, characteristic, complemented
25C67×#3124C211yesmaximal, characteristic, complemented
26C67×#3120C211yesmaximal, characteristic, complemented
27C67×#3013C211yesmaximal, characteristic, complemented
28C67×#3011C211yesmaximal, characteristic, complemented
29C67×#3002C211yesmaximal, characteristic, complemented
30C2×#452×C67C211yesmaximal, characteristic, complemented
31C67×#2977C211yesmaximal, characteristic, complemented
32C2×2−1+4×C67C2211yescharacteristic
33C22×#41×C67C2211yescharacteristic
34C2×#137×C67C2211yescharacteristic, complemented
35C2×#137×C67C2211yescharacteristic, complemented
36C2×#135×C67C2211yescharacteristic
37C2×#135×C67C2211yescharacteristic
38C2×#135×C67C2211yescharacteristic, complemented
39C22×Q16×C67C2211yescharacteristic
40C22×Q16×C67C2211yescharacteristic, complemented
41C22×SD16×C67C2211yescharacteristic
42#563×C67—21no—
43#562×C67—21no—
44#556×C67C2211yescharacteristic, complemented
45#554×C67—21no—
46#554×C67C2211yescharacteristic
47#553×C67—21no—
48#553×C67C2211yescharacteristic
49#552×C67C2211yescharacteristic, complemented
50D4×Q8×C67C2211yescharacteristic
51D4×Q8×C67C2211yescharacteristic
52D4×Q8×C67C2211yescharacteristic
53#548×C67C2211yescharacteristic
54#548×C67C2211yescharacteristic
55#548×C67C2211yescharacteristic
56#548×C67C2211yescharacteristic, complemented
57#547×C67—21no—
58#547×C67—21no—
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#542×C67—21no—
67#542×C67C2211yescharacteristic, complemented
68#541×C67C2211yescharacteristic, complemented
69#539×C67—21no—
70#538×C67—21no—
71#538×C67—21no—
72#537×C67—21no—
73#537×C67C2211yescharacteristic
74#537×C67C2211yescharacteristic, complemented
75#536×C67—21no—
76#536×C67C2211yescharacteristic
77#536×C67C2211yescharacteristic, complemented
78#525×C67—21no—
79#525×C67C2211yescharacteristic
80#525×C67C2211yescharacteristic
81C2×C22⋊Q8×C67—21no—
82C2×C22⋊Q8×C67C2211yescharacteristic
83C2×C22⋊Q8×C67C2211yescharacteristic
84#520×C67C2211yescharacteristic
85#497×C67C2211yescharacteristic, complemented
86#497×C67C2211yescharacteristic, complemented
87#495×C67C2211yescharacteristic, complemented
88#494×C67C2211yescharacteristic, complemented
89#491×C67C2211yescharacteristic, complemented
90#489×C67C2211yescharacteristic, complemented
91#488×C67C2211yescharacteristic, complemented
92#487×C67C2211yescharacteristic, complemented
93#485×C67C2211yescharacteristic, complemented
94#485×C67C2211yescharacteristic, complemented
95#485×C67C2211yescharacteristic, complemented
96#484×C67C2211yescharacteristic
97#484×C67C2211yescharacteristic
98#484×C67C2211yescharacteristic, complemented
99#484×C67C2211yescharacteristic, complemented
100#484×C67C2211yescharacteristic, complemented
101#483×C67C2211yescharacteristic, complemented
102#482×C67C2211yescharacteristic, complemented
103#480×C67C2211yescharacteristic, complemented
104#480×C67C2211yescharacteristic, complemented
105#479×C67C2211yescharacteristic, complemented
106#478×C67C2211yescharacteristic, complemented
107#477×C67C2211yescharacteristic, complemented
108#474×C67C2211yescharacteristic, complemented
109#470×C67C2211yescharacteristic, complemented
110#468×C67C2211yescharacteristic, complemented
111#468×C67C2211yescharacteristic, complemented
112#468×C67C2211yescharacteristic, complemented
113#467×C67C2211yescharacteristic
114#467×C67C2211yescharacteristic
115#467×C67C2211yescharacteristic, complemented
116#467×C67C2211yescharacteristic, complemented
117#467×C67C2211yescharacteristic, complemented
118#467×C67C2211yescharacteristic, complemented
119#467×C67C2211yescharacteristic, complemented
120#467×C67C2211yescharacteristic, complemented
121#466×C67C2211yescharacteristic, complemented
122#465×C67C2211yescharacteristic
123#465×C67C2211yescharacteristic
124#465×C67C2211yescharacteristic, complemented
125#464×C67C2211yescharacteristic, complemented
126#464×C67C2211yescharacteristic, complemented
127#464×C67C2211yescharacteristic, complemented
128#464×C67C2211yescharacteristic, complemented
129#463×C67C2211yescharacteristic, complemented
130#463×C67C2211yescharacteristic, complemented
131#462×C67C2211yescharacteristic, complemented
132#462×C67C2211yescharacteristic, complemented
133#462×C67C2211yescharacteristic, complemented
134#462×C67C2211yescharacteristic, complemented
135#461×C67C2211yescharacteristic, complemented
136#461×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
146#452×C67C2211yescharacteristic
147#452×C67C2211yescharacteristic, complemented
148#452×C67C2211yescharacteristic, complemented
149#452×C67C2211yescharacteristic, complemented
150#452×C67C2211yescharacteristic, complemented
151#452×C67C2211yescharacteristic, complemented
152#452×C67C2211yescharacteristic, complemented
153#451×C67C2211yescharacteristic
154#451×C67C2211yescharacteristic
155#451×C67C2211yescharacteristic
156#451×C67C2211yescharacteristic, complemented
157#451×C67C2211yescharacteristic, complemented
158#451×C67C2211yescharacteristic, complemented
159#451×C67C2211yescharacteristic, complemented
160#451×C67C2211yescharacteristic, complemented
161#451×C67C2211yescharacteristic, complemented
162#451×C67C2211yescharacteristic, complemented
163#450×C67C2211yescharacteristic
164#449×C67C2211yescharacteristic
165#449×C67C2211yescharacteristic
166#449×C67C2211yescharacteristic, complemented
167#449×C67C2211yescharacteristic, complemented
168#448×C67C2211yescharacteristic
169#448×C67C2211yescharacteristic, complemented
170#448×C67C2211yescharacteristic, complemented
171#448×C67C2211yescharacteristic, complemented
172#447×C67C2211yescharacteristic
173#441×C67C2211yescharacteristic, complemented
174#440×C67C2211yescharacteristic, complemented
175#440×C67C2211yescharacteristic, complemented
176#440×C67C2211yescharacteristic, complemented
177C4×Q16×C67C2211yescharacteristic, complemented
178C4×Q16×C67C2211yescharacteristic, complemented
179C4×SD16×C67C2211yescharacteristic, complemented
180C4×D8×C67C2211yescharacteristic, complemented
181#435×C67C2211yescharacteristic
182#435×C67C2211yescharacteristic
183#435×C67C2211yescharacteristic, complemented
184#435×C67C2211yescharacteristic, complemented
185C8×D4×C67C2211yescharacteristic
186C8×D4×C67C2211yescharacteristic
187C8×D4×C67C2211yescharacteristic, complemented
188C8×D4×C67C2211yescharacteristic, complemented
189#433×C67C2211yescharacteristic, complemented
190#433×C67C2211yescharacteristic, complemented
191#419×C67C2211yescharacteristic, complemented
192#417×C67C2211yescharacteristic, complemented
193#416×C67C2211yescharacteristic
194#416×C67C2211yescharacteristic
195#416×C67C2211yescharacteristic, complemented
196C2×#103×C67C2211yescharacteristic
197C2×#103×C67C2211yescharacteristic, complemented
198C2×#102×C67C2211yescharacteristic
199#408×C67C2211yescharacteristic, complemented
200#408×C67C2211yescharacteristic, complemented
201C2×C22⋊C8×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
221C22×Q8×C67—21no—
222C22×Q8×C67C2311yescharacteristic
223C22×Q8×C67C2311yescharacteristic
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#135×C67—42no—
235#135×C67—42no—
236#135×C67—42no—
237C2×Q16×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×Q16×C67C2311yescharacteristic
248C2×Q16×C67C2311yescharacteristic
249C2×Q16×C67C2311yescharacteristic
250C2×Q16×C67C2311yescharacteristic
251C2×SD16×C67—42no—
252C2×SD16×C67C2311yescharacteristic
253C2×SD16×C67C2311yescharacteristic
254C2×SD16×C67C2311yescharacteristic
255C2×SD16×C67C2311yescharacteristic
256C2×SD16×C67C2311yescharacteristic
257C2×SD16×C67C2311yescharacteristic
258C2×SD16×C67C2311yescharacteristic
259C2×SD16×C67C2311yescharacteristic
260C2×SD16×C67C2311yescharacteristic
261C2×SD16×C67C2311yescharacteristic
262C2×D8×C67C2311yescharacteristic
263C2×D8×C67C2311yescharacteristic
264C2×M16×C67C2311yescharacteristic
265C2×M16×C67C2311yescharacteristic
266C22×C8×C67C2311yescharacteristic
267C22×C8×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×C67—21no—
276C4⋊Q8×C67C2311yescharacteristic
277C4⋊Q8×C67C2311yescharacteristic
278C4⋊Q8×C67C2311yescharacteristic
279C4⋊Q8×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#126×C67—21no—
287#125×C67—21no—
288#125×C67—21no—
289#125×C67—21no—
290#125×C67—21no—
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×C67C2311yescharacteristic
300#124×C67C2311yescharacteristic
301#124×C67C2311yescharacteristic
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×C67—21no—
317#123×C67—21no—
318#123×C67D411yescharacteristic
319#123×C67D411yescharacteristic
320C22⋊Q8×C67—21no—
321C22⋊Q8×C67—21no—
322C22⋊Q8×C67—21no—
323C22⋊Q8×C67—21no—
324C22⋊Q8×C67—21no—
325C22⋊Q8×C67—21no—
326C22⋊Q8×C67—21no—
327C22⋊Q8×C67—21no—
328C22⋊Q8×C67—21no—
329C22⋊Q8×C67—21no—
330C22⋊Q8×C67—21no—
331C22⋊Q8×C67—21no—
332C22⋊Q8×C67—21no—
333C22⋊Q8×C67—21no—
334C22⋊Q8×C67—21no—
335C22⋊Q8×C67—21no—
336C22⋊Q8×C67—21no—
337C22⋊Q8×C67—21no—
338C22⋊Q8×C67—21no—
339C22⋊Q8×C67—21no—
340C22⋊Q8×C67—21no—
341C22⋊Q8×C67D411yescharacteristic
342C22⋊Q8×C67D411yescharacteristic
343C22⋊Q8×C67C2311yescharacteristic
344C22⋊Q8×C67C2311yescharacteristic
345C22⋊Q8×C67C2311yescharacteristic
346C22⋊Q8×C67C2311yescharacteristic
347C22⋊Q8×C67C2311yescharacteristic
348C22⋊Q8×C67C2311yescharacteristic
349C22⋊Q8×C67C2311yescharacteristic
350C22⋊Q8×C67C2311yescharacteristic
351C22⋊Q8×C67C2311yescharacteristic
352C22⋊Q8×C67C2311yescharacteristic
353C22⋊Q8×C67C2311yescharacteristic
354C22⋊Q8×C67C2311yescharacteristic
355C22⋊Q8×C67C2311yescharacteristic
356C22⋊Q8×C67C2311yescharacteristic
357C22⋊Q8×C67C2311yescharacteristic
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×C67—21no—
371#121×C67—21no—
372#121×C67—21no—
373#121×C67—21no—
374#121×C67D411yescharacteristic
375#121×C67D411yescharacteristic
376#121×C67C2311yescharacteristic
377#121×C67C2311yescharacteristic
378#121×C67C2311yescharacteristic
379#121×C67C2311yescharacteristic
380#121×C67C2311yescharacteristic
381#120×C67—21no—
382#120×C67—21no—
383#120×C67—21no—
384#120×C67D411yescharacteristic
385#120×C67D411yescharacteristic
386C4×Q8×C67—21no—
387C4×Q8×C67C2311yescharacteristic
388C4×Q8×C67C2311yescharacteristic
389C4×Q8×C67C2311yescharacteristic
390C4×Q8×C67C2311yescharacteristic
391C4×Q8×C67C2311yescharacteristic
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×C67—21no—
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×C67C2311yescharacteristic
415#117×C67C2311yescharacteristic
416#117×C67C2311yescharacteristic
417C2×C4⋊C4×C67—21no—
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×C67C2311yescharacteristic
424C2×C4⋊C4×C67C2311yescharacteristic
425C2×C4⋊C4×C67C2311yescharacteristic
426C2×C22⋊C4×C67—21no—
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#107×C67C2311yescharacteristic
435#107×C67C2311yescharacteristic
436#106×C67C2311yescharacteristic
437#106×C67C2311yescharacteristic
438C4⋊C8×C67C2311yescharacteristic
439C4⋊C8×C67C2311yescharacteristic
440C4⋊C8×C67C2311yescharacteristic
441C4⋊C8×C67C2311yescharacteristic
442#103×C67C2311yescharacteristic
443#103×C67C2311yescharacteristic
444#103×C67C2311yescharacteristic
445#103×C67C2311yescharacteristic
446#103×C67C2311yescharacteristic
447#103×C67C2311yescharacteristic
448#103×C67C2311yescharacteristic
449#103×C67C2311yescharacteristic
450#103×C67C2311yescharacteristic
451#103×C67C2311yescharacteristic
452#103×C67C2311yescharacteristic
453#103×C67C2311yescharacteristic
454#103×C67C2311yescharacteristic
455#103×C67C2311yescharacteristic
456#103×C67C2311yescharacteristic
457#103×C67C2311yescharacteristic
458#103×C67C2311yescharacteristic
459#103×C67C2311yescharacteristic
460#103×C67C2311yescharacteristic
461#103×C67C2311yescharacteristic
462#103×C67C2311yescharacteristic
463#103×C67C2311yescharacteristic
464#102×C67C2311yescharacteristic
465#102×C67C2311yescharacteristic
466#102×C67C2311yescharacteristic
467#102×C67C2311yescharacteristic
468#102×C67C2311yescharacteristic
469#102×C67C2311yescharacteristic
470#102×C67C2311yescharacteristic
471#102×C67C2311yescharacteristic
472#102×C67C2311yescharacteristic
473#102×C67C2311yescharacteristic
474C22⋊C8×C67C2311yescharacteristic
475C22⋊C8×C67C2311yescharacteristic
476C22⋊C8×C67C2311yescharacteristic
477C22⋊C8×C67C2311yescharacteristic
478C22⋊C8×C67C2311yescharacteristic
479C22⋊C8×C67C2311yescharacteristic
480C22⋊C8×C67C2311yescharacteristic
481C22⋊C8×C67C2311yescharacteristic
482C22⋊C8×C67C2311yescharacteristic
483C22⋊C8×C67C2311yescharacteristic
484C22⋊C8×C67C2311yescharacteristic
485C22⋊C8×C67C2311yescharacteristic
486#97×C67C2311yescharacteristic
487#97×C67C2311yescharacteristic
488C4×C8×C67C2311yescharacteristic
489C4×C8×C67C2311yescharacteristic
490C24×C67—21no—
491C24×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—44no—
513#41×C67—44no—
514#41×C67—44no—
515C2×Q8×C67—21no—
516C2×Q8×C67—21no—
517C2×Q8×C67—21no—
518C2×Q8×C67—21no—
519C2×Q8×C67—21no—
520C2×Q8×C67—21no—
521C2×Q8×C67—21no—
522C2×Q8×C67—22no—
523C2×Q8×C67—22no—
524C2×Q8×C67—22no—
525C2×Q8×C67—41no—
526C2×Q8×C67—41no—
527C2×Q8×C67—41no—
528C2×Q8×C67—41no—
529C2×Q8×C67—41no—
530C2×Q8×C67—44no—
531C2×Q8×C67—41no—
532C2×Q8×C67—41no—
533C2×Q8×C67—41no—
534C2×Q8×C67—41no—
535C2×Q8×C67C2×D411yescharacteristic
536C2×Q8×C67C2411yescharacteristic
537C2×Q8×C67C2411yescharacteristic
538C2×Q8×C67C2411yescharacteristic
539C2×Q8×C67C2411yescharacteristic
540C2×Q8×C67C2411yescharacteristic
541C2×Q8×C67C2411yescharacteristic
542C2×Q8×C67C2411yescharacteristic
543C2×D4×C67—21no—
544C2×D4×C67—22no—
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—41no—
559C2×D4×C67—44no—
560C2×D4×C67C2×D411yescharacteristic
561C2×D4×C67C2×D411yescharacteristic
562C2×D4×C67C2×D411yescharacteristic
563C2×D4×C67C2×D411yescharacteristic
564C2×D4×C67C2×D411yescharacteristic
565C2×D4×C67C2×D411yescharacteristic
566C2×D4×C67C2×D411yescharacteristic
567C2×D4×C67C2411yescharacteristic
568C2×D4×C67C2411yescharacteristic
569C2×D4×C67C2411yescharacteristic
570C22×C4×C67—21no—
571C22×C4×C67—21no—
572C22×C4×C67—21no—
573C22×C4×C67—21no—
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—41no—
591C22×C4×C67—41no—
592C22×C4×C67—44no—
593C22×C4×C67C2×D411yescharacteristic
594C22×C4×C67C2×D411yescharacteristic
595C22×C4×C67C2×D411yescharacteristic
596C22×C4×C67C2411yescharacteristic
597C22×C4×C67C2411yescharacteristic
598C22×C4×C67C2411yescharacteristic
599C22×C4×C67C2411yescharacteristic
600C22×C4×C67C2411yescharacteristic
601Q16×C67—22no—
602Q16×C67—22no—
603Q16×C67—22no—
604Q16×C67—41no—
605Q16×C67—41no—
606Q16×C67—41no—
607Q16×C67—41no—
608Q16×C67—41no—
609Q16×C67—41no—
610Q16×C67—41no—
611Q16×C67—41no—
612Q16×C67—41no—
613SD16×C67—22no—
614SD16×C67—22no—
615SD16×C67—22no—
616SD16×C67—22no—
617SD16×C67—41no—
618SD16×C67—41no—
619SD16×C67—41no—
620SD16×C67—41no—
621SD16×C67—41no—
622SD16×C67—41no—
623D8×C67—22no—
624D8×C67—41no—
625M16×C67—41no—
626M16×C67—41no—
627C2×C8×C67—41no—
628C2×C8×C67—41no—
629C2×C8×C67—41no—
630C2×C8×C67—41no—
631C2×C8×C67—41no—
632C2×C8×C67—41no—
633C2×C8×C67C2411yescharacteristic
634C2×C8×C67C2411yescharacteristic
635C2×C8×C67C2411yescharacteristic
636C2×C8×C67C2411yescharacteristic
637C2×C8×C67C2411yescharacteristic
638C2×C8×C67C2411yescharacteristic
639C2×C8×C67C2411yescharacteristic
640C2×C8×C67C2411yescharacteristic
641C4⋊C4×C67—21no—
642C4⋊C4×C67—21no—
643C4⋊C4×C67—21no—
644C4⋊C4×C67—21no—
645C4⋊C4×C67—21no—
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×C67C2×D411yescharacteristic
674C4⋊C4×C67C2×D411yescharacteristic
675C4⋊C4×C67C2×D411yescharacteristic
676C4⋊C4×C67C2×D411yescharacteristic
677C4⋊C4×C67C2×D411yescharacteristic
678C4⋊C4×C67C2×D411yescharacteristic
679C4⋊C4×C67C2411yescharacteristic
680C4⋊C4×C67C2411yescharacteristic
681C4⋊C4×C67C2411yescharacteristic
682C4⋊C4×C67C2411yescharacteristic
683C4⋊C4×C67C2411yescharacteristic
684C4⋊C4×C67C2411yescharacteristic
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×C67—21no—
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
723C22⋊C4×C67C2×D411yescharacteristic
724C22⋊C4×C67C2×D411yescharacteristic
725C22⋊C4×C67C2×D411yescharacteristic
726C42×C67—21no—
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—22no—
737C23×C67—21no—
738C23×C67—21no—
739C23×C67—41no—
740C23×C67—41no—
741C23×C67—42no—
742C23×C67—42no—
743C23×C67—81no—
744C23×C67C22×D411yescharacteristic
745C23×C67C22×D411yescharacteristic
746C23×C67C22×D411yescharacteristic
747C23×C67C22×D411yescharacteristic
748C23×C67C22×D411yescharacteristic
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—21no—
759Q8×C67—21no—
760Q8×C67—21no—
761Q8×C67—21no—
762Q8×C67—41no—
763Q8×C67—42no—
764Q8×C67—42no—
765Q8×C67—42no—
766Q8×C67—42no—
767Q8×C67—81no—
768Q8×C67—81no—
769Q8×C67—81no—
770Q8×C67H(5,𝔽2)12yes—
771D4×C67—24no—
772D4×C67—22no—
773D4×C67—22no—
774D4×C67—21no—
775D4×C67—21no—
776D4×C67—21no—
777D4×C67—21no—
778D4×C67—21no—
779D4×C67—41no—
780D4×C67—41no—
781D4×C67—41no—
782D4×C67—41no—
783D4×C67—41no—
784D4×C67—42no—
785D4×C67—42no—
786D4×C67—42no—
787D4×C67—42no—
788D4×C67—42no—
789D4×C67—42no—
790D4×C67—42no—
791D4×C67—81no—
792D4×C67—81no—
793D4×C67—81no—
794D4×C67—81no—
795D4×C67—81no—
796D4×C67—81no—
797D4×C67H(5,𝔽2)12yes—
798C2×C4×C67—24no—
799C2×C4×C67—21no—
800C2×C4×C67—21no—
801C2×C4×C67—21no—
802C2×C4×C67—21no—
803C2×C4×C67—21no—
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—41no—
823C2×C4×C67—41no—
824C2×C4×C67—41no—
825C2×C4×C67—42no—
826C2×C4×C67—42no—
827C2×C4×C67—42no—
828C2×C4×C67—42no—
829C2×C4×C67—42no—
830C2×C4×C67—42no—
831C2×C4×C67—42no—
832C2×C4×C67—42no—
833C2×C4×C67—42no—
834C2×C4×C67—81no—
835C2×C4×C67—81no—
836C2×C4×C67—81no—
837C2×C4×C67—81no—
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×C67C22×D411yescharacteristic
845C2×C4×C67C22×D411yescharacteristic
846C2×C4×C67C22×D411yescharacteristic
847C2×C4×C67C22×D411yescharacteristic
848C2×C4×C67C22×D411yescharacteristic
849C2×C4×C67C22×D411yescharacteristic
850C2×C4×C67C22×D411yescharacteristic
851C2×C4×C67C22×D411yescharacteristic
852C2×C4×C67C22×D411yescharacteristic
853C2×C4×C67C2511yescharacteristic
854C8×C67—21no—
855C8×C67—21no—
856C8×C67—21no—
857C8×C67—21no—
858C8×C67—21no—
859C8×C67—21no—
860C8×C67—21no—
861C8×C67—21no—
862C22×C67—21no—
863C22×C67—21no—
864C22×C67—21no—
865C22×C67—21no—
866C22×C67—21no—
867C22×C67—21no—
868C22×C67—21no—
869C22×C67—22no—
870C22×C67—21no—
871C22×C67—21no—
872C22×C67—21no—
873C22×C67—21no—
874C22×C67—21no—
875C22×C67—21no—
876C22×C67—21no—
877C22×C67—41no—
878C22×C67—41no—
879C22×C67—41no—
880C22×C67—41no—
881C22×C67—41no—
882C22×C67—41no—
883C22×C67—41no—
884C22×C67—41no—
885C22×C67—82no—
886C22×C67—84no—
887C22×C67#57812yes—
888C22×C67C23×D411yescharacteristic
889C4×C67—21no—
890C4×C67—21no—
891C4×C67—21no—
892C4×C67—22no—
893C4×C67—21no—
894C4×C67—21no—
895C4×C67—21no—
896C4×C67—21no—
897C4×C67—21no—
898C4×C67—21no—
899C4×C67—41no—
900C4×C67—41no—
901C4×C67—41no—
902C4×C67—41no—
903C4×C67—41no—
904C4×C67—41no—
905C4×C67—41no—
906C4×C67—41no—
907C4×C67—41no—
908C4×C67—41no—
909C4×C67—41no—
910C4×C67—41no—
911C4×C67C2×H(5,𝔽2)11yescharacteristic
912C4×C67C2×H(5,𝔽2)11yescharacteristic
913#61642C6711yesmaximal, characteristic, direct product factor, Sylow
914C2×C67—22no—
915C2×C67—41no—
916C2×C67—41no—
917C2×C67—41no—
918C2×C67—41no—
919C2×C67—42no—
920C2×C67—81no—
921C2×C67—81no—
922C2×C67#348411yescharacteristic
923C2×C67C2×#57811yescharacteristic
924C2×C67#358411yescharacteristic
925#3541C2×C6711yescharacteristic, complemented
926#3489C2×C6711yescharacteristic, complemented
927#3320C2×C6711yescharacteristic, complemented
928#3315C2×C6711yescharacteristic, complemented
929#3314C2×C6711yescharacteristic, complemented
930#3313C2×C6711yescharacteristic, complemented
931#3302C2×C6711yescharacteristic, complemented
932#3300C2×C6711yescharacteristic, complemented
933#3299C2×C6711yescharacteristic, complemented
934#3297C2×C6711yescharacteristic, complemented
935D4×Q16C2×C6711yescharacteristic, complemented
936#3285C2×C6711yescharacteristic, complemented
937#3283C2×C6711yescharacteristic, complemented
938#3282C2×C6711yescharacteristic, complemented
939#3270C2×C6711yescharacteristic, complemented
940#3269C2×C6711yescharacteristic, complemented
941#3269C2×C6711yescharacteristic, complemented
942#3266C2×C6711yescharacteristic, complemented
943#3225C2×C6711yescharacteristic, complemented
944#3223C2×C6711yescharacteristic, complemented
945#3203C2×C6711yescharacteristic, complemented
946#3201C2×C6711yescharacteristic, complemented
947#3190C2×C6711yescharacteristic, complemented
948#3189C2×C6711yescharacteristic, complemented
949#3124C2×C6711yescharacteristic, complemented
950#3120C2×C6711yescharacteristic, complemented
951#3013C2×C6711yescharacteristic, complemented
952#3011C2×C6711yescharacteristic, complemented
953#3002C2×C6711yescharacteristic, complemented
954C2×#452C2×C6711yescharacteristic, complemented
955#2977C2×C6711yescharacteristic, complemented
956C67#6164211yescharacteristic, direct product factor, Sylow
957C2×2−1+4C22×C6711yescharacteristic
958C22×#41C22×C6711yescharacteristic
959C2×#137C22×C6711yescharacteristic, complemented
960C2×#137C22×C6711yescharacteristic, complemented
961C2×#135C22×C6711yescharacteristic
962C2×#135C22×C6711yescharacteristic
963C2×#135C22×C6711yescharacteristic, complemented
964C22×Q16C22×C6711yescharacteristic
965C22×Q16C22×C6711yescharacteristic, complemented
966C22×SD16C22×C6711yescharacteristic
967#563—21no—
968#562—21no—
969#556C22×C6711yescharacteristic, complemented
970#554—21no—
971#554C22×C6711yescharacteristic
972#553—21no—
973#553C22×C6711yescharacteristic
974#552C22×C6711yescharacteristic, complemented
975D4×Q8C22×C6711yescharacteristic
976D4×Q8C22×C6711yescharacteristic
977D4×Q8C22×C6711yescharacteristic
978#548C22×C6711yescharacteristic
979#548C22×C6711yescharacteristic
980#548C22×C6711yescharacteristic
981#548C22×C6711yescharacteristic, complemented
982#547—21no—
983#547—21no—
984#547C22×C6711yescharacteristic
985#547C22×C6711yescharacteristic
986#547C22×C6711yescharacteristic, complemented
987#546—21no—
988#546—21no—
989#546C22×C6711yescharacteristic
990#546C22×C6711yescharacteristic
991#542—21no—
992#542C22×C6711yescharacteristic, complemented
993#541C22×C6711yescharacteristic, complemented
994#539—21no—
995#538—21no—
996#538—21no—
997#537—21no—
998#537C22×C6711yescharacteristic
999#537C22×C6711yescharacteristic, complemented
1000#536—21no—
1001#536C22×C6711yescharacteristic
1002#536C22×C6711yescharacteristic, complemented
1003#525—21no—
1004#525C22×C6711yescharacteristic
1005#525C22×C6711yescharacteristic
1006C2×C22⋊Q8—21no—
1007C2×C22⋊Q8C22×C6711yescharacteristic
1008C2×C22⋊Q8C22×C6711yescharacteristic
1009#520C22×C6711yescharacteristic
1010#497C22×C6711yescharacteristic, complemented
1011#497C22×C6711yescharacteristic, complemented
1012#495C22×C6711yescharacteristic, complemented
1013#494C22×C6711yescharacteristic, complemented
1014#491C22×C6711yescharacteristic, complemented
1015#489C22×C6711yescharacteristic, complemented
1016#488C22×C6711yescharacteristic, complemented
1017#487C22×C6711yescharacteristic, complemented
1018#485C22×C6711yescharacteristic, complemented
1019#485C22×C6711yescharacteristic, complemented
1020#485C22×C6711yescharacteristic, complemented
1021#484C22×C6711yescharacteristic
1022#484C22×C6711yescharacteristic
1023#484C22×C6711yescharacteristic, complemented
1024#484C22×C6711yescharacteristic, complemented
1025#484C22×C6711yescharacteristic, complemented
1026#483C22×C6711yescharacteristic, complemented
1027#482C22×C6711yescharacteristic, complemented
1028#480C22×C6711yescharacteristic, complemented
1029#480C22×C6711yescharacteristic, complemented
1030#479C22×C6711yescharacteristic, complemented
1031#478C22×C6711yescharacteristic, complemented
1032#477C22×C6711yescharacteristic, complemented
1033#474C22×C6711yescharacteristic, complemented
1034#470C22×C6711yescharacteristic, complemented
1035#468C22×C6711yescharacteristic, complemented
1036#468C22×C6711yescharacteristic, complemented
1037#468C22×C6711yescharacteristic, complemented
1038#467C22×C6711yescharacteristic
1039#467C22×C6711yescharacteristic
1040#467C22×C6711yescharacteristic, complemented
1041#467C22×C6711yescharacteristic, complemented
1042#467C22×C6711yescharacteristic, complemented
1043#467C22×C6711yescharacteristic, complemented
1044#467C22×C6711yescharacteristic, complemented
1045#467C22×C6711yescharacteristic, complemented
1046#466C22×C6711yescharacteristic, complemented
1047#465C22×C6711yescharacteristic
1048#465C22×C6711yescharacteristic
1049#465C22×C6711yescharacteristic, complemented
1050#464C22×C6711yescharacteristic, complemented
1051#464C22×C6711yescharacteristic, complemented
1052#464C22×C6711yescharacteristic, complemented
1053#464C22×C6711yescharacteristic, complemented
1054#463C22×C6711yescharacteristic, complemented
1055#463C22×C6711yescharacteristic, complemented
1056#462C22×C6711yescharacteristic, complemented
1057#462C22×C6711yescharacteristic, complemented
1058#462C22×C6711yescharacteristic, complemented
1059#462C22×C6711yescharacteristic, complemented
1060#461C22×C6711yescharacteristic, complemented
1061#461C22×C6711yescharacteristic, complemented
1062#452C22×C6711yescharacteristic
1063#452C22×C6711yescharacteristic
1064#452C22×C6711yescharacteristic
1065#452C22×C6711yescharacteristic
1066#452C22×C6711yescharacteristic
1067#452C22×C6711yescharacteristic
1068#452C22×C6711yescharacteristic
1069#452C22×C6711yescharacteristic
1070#452C22×C6711yescharacteristic
1071#452C22×C6711yescharacteristic
1072#452C22×C6711yescharacteristic, complemented
1073#452C22×C6711yescharacteristic, complemented
1074#452C22×C6711yescharacteristic, complemented
1075#452C22×C6711yescharacteristic, complemented
1076#452C22×C6711yescharacteristic, complemented
1077#452C22×C6711yescharacteristic, complemented
1078#451C22×C6711yescharacteristic
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#451C22×C6711yescharacteristic, complemented
1087#451C22×C6711yescharacteristic, complemented
1088#450C22×C6711yescharacteristic
1089#449C22×C6711yescharacteristic
1090#449C22×C6711yescharacteristic
1091#449C22×C6711yescharacteristic, complemented
1092#449C22×C6711yescharacteristic, complemented
1093#448C22×C6711yescharacteristic
1094#448C22×C6711yescharacteristic, complemented
1095#448C22×C6711yescharacteristic, complemented
1096#448C22×C6711yescharacteristic, complemented
1097#447C22×C6711yescharacteristic
1098#441C22×C6711yescharacteristic, complemented
1099#440C22×C6711yescharacteristic, complemented
1100#440C22×C6711yescharacteristic, complemented
1101#440C22×C6711yescharacteristic, complemented
1102C4×Q16C22×C6711yescharacteristic, complemented
1103C4×Q16C22×C6711yescharacteristic, complemented
1104C4×SD16C22×C6711yescharacteristic, complemented
1105C4×D8C22×C6711yescharacteristic, complemented
1106#435C22×C6711yescharacteristic
1107#435C22×C6711yescharacteristic
1108#435C22×C6711yescharacteristic, complemented
1109#435C22×C6711yescharacteristic, complemented
1110C8×D4C22×C6711yescharacteristic
1111C8×D4C22×C6711yescharacteristic
1112C8×D4C22×C6711yescharacteristic, complemented
1113C8×D4C22×C6711yescharacteristic, complemented
1114#433C22×C6711yescharacteristic, complemented
1115#433C22×C6711yescharacteristic, complemented
1116#419C22×C6711yescharacteristic, complemented
1117#417C22×C6711yescharacteristic, complemented
1118#416C22×C6711yescharacteristic
1119#416C22×C6711yescharacteristic
1120#416C22×C6711yescharacteristic, complemented
1121C2×#103C22×C6711yescharacteristic
1122C2×#103C22×C6711yescharacteristic, complemented
1123C2×#102C22×C6711yescharacteristic
1124#408C22×C6711yescharacteristic, complemented
1125#408C22×C6711yescharacteristic, complemented
1126C2×C22⋊C8C22×C6711yescharacteristic
1127C2×C22⋊C8C22×C6711yescharacteristic
11282−1+4—42no—
11292−1+4—42no—
1130C2×#41—21no—
1131C2×#41—21no—
1132C2×#41—21no—
1133C2×#41—21no—
1134C2×#41—21no—
1135C2×#41—42no—
1136C2×#41—42no—
1137C2×#41C23×C6711yescharacteristic
1138C2×#41C23×C6711yescharacteristic
1139C2×#41C23×C6711yescharacteristic
1140C2×#41C23×C6711yescharacteristic
1141C2×#41C23×C6711yescharacteristic
1142C2×#41C23×C6711yescharacteristic
1143C2×#41C23×C6711yescharacteristic
1144C2×#41C23×C6711yescharacteristic
1145C2×#41C23×C6711yescharacteristic
1146C22×Q8—21no—
1147C22×Q8C23×C6711yescharacteristic
1148C22×Q8C23×C6711yescharacteristic
1149C22×Q8C23×C6711yescharacteristic
1150C22×Q8C23×C6711yescharacteristic
1151C22×Q8C23×C6711yescharacteristic
1152C22×Q8C23×C6711yescharacteristic
1153C22×D4—21no—
1154C22×D4C23×C6711yescharacteristic
1155C23×C4—21no—
1156C23×C4C23×C6711yescharacteristic
1157#137—42no—
1158#137—42no—
1159#135—42no—
1160#135—42no—
1161#135—42no—
1162C2×Q16—42no—
1163C2×Q16—42no—
1164C2×Q16C23×C6711yescharacteristic
1165C2×Q16C23×C6711yescharacteristic
1166C2×Q16C23×C6711yescharacteristic
1167C2×Q16C23×C6711yescharacteristic
1168C2×Q16C23×C6711yescharacteristic
1169C2×Q16C23×C6711yescharacteristic
1170C2×Q16C23×C6711yescharacteristic
1171C2×Q16C23×C6711yescharacteristic
1172C2×Q16C23×C6711yescharacteristic
1173C2×Q16C23×C6711yescharacteristic
1174C2×Q16C23×C6711yescharacteristic
1175C2×Q16C23×C6711yescharacteristic
1176C2×SD16—42no—
1177C2×SD16C23×C6711yescharacteristic
1178C2×SD16C23×C6711yescharacteristic
1179C2×SD16C23×C6711yescharacteristic
1180C2×SD16C23×C6711yescharacteristic
1181C2×SD16C23×C6711yescharacteristic
1182C2×SD16C23×C6711yescharacteristic
1183C2×SD16C23×C6711yescharacteristic
1184C2×SD16C23×C6711yescharacteristic
1185C2×SD16C23×C6711yescharacteristic
1186C2×SD16C23×C6711yescharacteristic
1187C2×D8C23×C6711yescharacteristic
1188C2×D8C23×C6711yescharacteristic
1189C2×M16C23×C6711yescharacteristic
1190C2×M16C23×C6711yescharacteristic
1191C22×C8C23×C6711yescharacteristic
1192C22×C8C23×C6711yescharacteristic
1193C22×C8C23×C6711yescharacteristic
1194C22×C8C23×C6711yescharacteristic
1195C22×C8C23×C6711yescharacteristic
1196C22×C8C23×C6711yescharacteristic
1197C4⋊Q8—21no—
1198C4⋊Q8—21no—
1199C4⋊Q8—21no—
1200C4⋊Q8—21no—
1201C4⋊Q8C23×C6711yescharacteristic
1202C4⋊Q8C23×C6711yescharacteristic
1203C4⋊Q8C23×C6711yescharacteristic
1204C4⋊Q8C23×C6711yescharacteristic
1205#126—21no—
1206#126—21no—
1207#126—21no—
1208#126—21no—
1209#126—21no—
1210#126—21no—
1211#126—21no—
1212#125—21no—
1213#125—21no—
1214#125—21no—
1215#125—21no—
1216#125C23×C6711yescharacteristic
1217#124—21no—
1218#124—21no—
1219#124—21no—
1220#124—21no—
1221#124—21no—
1222#124—21no—
1223#124—21no—
1224#124C23×C6711yescharacteristic
1225#124C23×C6711yescharacteristic
1226#124C23×C6711yescharacteristic
1227#123—21no—
1228#123—21no—
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#123D4×C6711yescharacteristic
1244#123D4×C6711yescharacteristic
1245C22⋊Q8—21no—
1246C22⋊Q8—21no—
1247C22⋊Q8—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⋊Q8—21no—
1263C22⋊Q8—21no—
1264C22⋊Q8—21no—
1265C22⋊Q8—21no—
1266C22⋊Q8D4×C6711yescharacteristic
1267C22⋊Q8D4×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
1278C22⋊Q8C23×C6711yescharacteristic
1279C22⋊Q8C23×C6711yescharacteristic
1280C22⋊Q8C23×C6711yescharacteristic
1281C22⋊Q8C23×C6711yescharacteristic
1282C22⋊Q8C23×C6711yescharacteristic
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#121D4×C6711yescharacteristic
1300#121D4×C6711yescharacteristic
1301#121C23×C6711yescharacteristic
1302#121C23×C6711yescharacteristic
1303#121C23×C6711yescharacteristic
1304#121C23×C6711yescharacteristic
1305#121C23×C6711yescharacteristic
1306#120—21no—
1307#120—21no—
1308#120—21no—
1309#120D4×C6711yescharacteristic
1310#120D4×C6711yescharacteristic
1311C4×Q8—21no—
1312C4×Q8C23×C6711yescharacteristic
1313C4×Q8C23×C6711yescharacteristic
1314C4×Q8C23×C6711yescharacteristic
1315C4×Q8C23×C6711yescharacteristic
1316C4×Q8C23×C6711yescharacteristic
1317C4×D4—21no—
1318C4×D4—21no—
1319C4×D4—21no—
1320C4×D4—21no—
1321C4×D4—21no—
1322C4×D4—21no—
1323C4×D4—21no—
1324C4×D4—21no—
1325C4×D4—21no—
1326C4×D4—21no—
1327C4×D4—21no—
1328C4×D4—21no—
1329C4×D4—21no—
1330C4×D4C23×C6711yescharacteristic
1331C4×D4C23×C6711yescharacteristic
1332C4×D4C23×C6711yescharacteristic
1333C4×D4C23×C6711yescharacteristic
1334C4×D4C23×C6711yescharacteristic
1335C4×D4C23×C6711yescharacteristic
1336C4×D4C23×C6711yescharacteristic
1337#117—21no—
1338#117—21no—
1339#117C23×C6711yescharacteristic
1340#117C23×C6711yescharacteristic
1341#117C23×C6711yescharacteristic
1342C2×C4⋊C4—21no—
1343C2×C4⋊C4—21no—
1344C2×C4⋊C4—21no—
1345C2×C4⋊C4—21no—
1346C2×C4⋊C4—21no—
1347C2×C4⋊C4—21no—
1348C2×C4⋊C4C23×C6711yescharacteristic
1349C2×C4⋊C4C23×C6711yescharacteristic
1350C2×C4⋊C4C23×C6711yescharacteristic
1351C2×C22⋊C4—21no—
1352C2×C22⋊C4—21no—
1353C2×C22⋊C4—21no—
1354C2×C22⋊C4—21no—
1355#107C23×C6711yescharacteristic
1356#107C23×C6711yescharacteristic
1357#107C23×C6711yescharacteristic
1358#107C23×C6711yescharacteristic
1359#107C23×C6711yescharacteristic
1360#107C23×C6711yescharacteristic
1361#106C23×C6711yescharacteristic
1362#106C23×C6711yescharacteristic
1363C4⋊C8C23×C6711yescharacteristic
1364C4⋊C8C23×C6711yescharacteristic
1365C4⋊C8C23×C6711yescharacteristic
1366C4⋊C8C23×C6711yescharacteristic
1367#103C23×C6711yescharacteristic
1368#103C23×C6711yescharacteristic
1369#103C23×C6711yescharacteristic
1370#103C23×C6711yescharacteristic
1371#103C23×C6711yescharacteristic
1372#103C23×C6711yescharacteristic
1373#103C23×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#102C23×C6711yescharacteristic
1390#102C23×C6711yescharacteristic
1391#102C23×C6711yescharacteristic
1392#102C23×C6711yescharacteristic
1393#102C23×C6711yescharacteristic
1394#102C23×C6711yescharacteristic
1395#102C23×C6711yescharacteristic
1396#102C23×C6711yescharacteristic
1397#102C23×C6711yescharacteristic
1398#102C23×C6711yescharacteristic
1399C22⋊C8C23×C6711yescharacteristic
1400C22⋊C8C23×C6711yescharacteristic
1401C22⋊C8C23×C6711yescharacteristic
1402C22⋊C8C23×C6711yescharacteristic
1403C22⋊C8C23×C6711yescharacteristic
1404C22⋊C8C23×C6711yescharacteristic
1405C22⋊C8C23×C6711yescharacteristic
1406C22⋊C8C23×C6711yescharacteristic
1407C22⋊C8C23×C6711yescharacteristic
1408C22⋊C8C23×C6711yescharacteristic
1409C22⋊C8C23×C6711yescharacteristic
1410C22⋊C8C23×C6711yescharacteristic
1411#97C23×C6711yescharacteristic
1412#97C23×C6711yescharacteristic
1413C4×C8C23×C6711yescharacteristic
1414C4×C8C23×C6711yescharacteristic
1415C24—21no—
1416C24C2×D4×C6711yescharacteristic
1417#41—22no—
1418#41—22no—
1419#41—22no—
1420#41—22no—
1421#41—22no—
1422#41—22no—
1423#41—41no—
1424#41—41no—
1425#41—41no—
1426#41—41no—
1427#41—41no—
1428#41—41no—
1429#41—41no—
1430#41—41no—
1431#41—44no—
1432#41—44no—
1433#41—41no—
1434#41—41no—
1435#41—41no—
1436#41—41no—
1437#41—44no—
1438#41—44no—
1439#41—44no—
1440C2×Q8—21no—
1441C2×Q8—21no—
1442C2×Q8—21no—
1443C2×Q8—21no—
1444C2×Q8—21no—
1445C2×Q8—21no—
1446C2×Q8—21no—
1447C2×Q8—22no—
1448C2×Q8—22no—
1449C2×Q8—22no—
1450C2×Q8—41no—
1451C2×Q8—41no—
1452C2×Q8—41no—
1453C2×Q8—41no—
1454C2×Q8—41no—
1455C2×Q8—44no—
1456C2×Q8—41no—
1457C2×Q8—41no—
1458C2×Q8—41no—
1459C2×Q8—41no—
1460C2×Q8C2×D4×C6711yescharacteristic
1461C2×Q8C24×C6711yescharacteristic
1462C2×Q8C24×C6711yescharacteristic
1463C2×Q8C24×C6711yescharacteristic
1464C2×Q8C24×C6711yescharacteristic
1465C2×Q8C24×C6711yescharacteristic
1466C2×Q8C24×C6711yescharacteristic
1467C2×Q8C24×C6711yescharacteristic
1468C2×D4—21no—
1469C2×D4—22no—
1470C2×D4—21no—
1471C2×D4—21no—
1472C2×D4—21no—
1473C2×D4—21no—
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—41no—
1484C2×D4—44no—
1485C2×D4C2×D4×C6711yescharacteristic
1486C2×D4C2×D4×C6711yescharacteristic
1487C2×D4C2×D4×C6711yescharacteristic
1488C2×D4C2×D4×C6711yescharacteristic
1489C2×D4C2×D4×C6711yescharacteristic
1490C2×D4C2×D4×C6711yescharacteristic
1491C2×D4C2×D4×C6711yescharacteristic
1492C2×D4C24×C6711yescharacteristic
1493C2×D4C24×C6711yescharacteristic
1494C2×D4C24×C6711yescharacteristic
1495C22×C4—21no—
1496C22×C4—21no—
1497C22×C4—21no—
1498C22×C4—21no—
1499C22×C4—21no—
1500C22×C4—21no—
1501C22×C4—21no—
1502C22×C4—21no—
1503C22×C4—21no—
1504C22×C4—21no—
1505C22×C4—21no—
1506C22×C4—21no—
1507C22×C4—21no—
1508C22×C4—21no—
1509C22×C4—21no—
1510C22×C4—21no—
1511C22×C4—21no—
1512C22×C4—21no—
1513C22×C4—21no—
1514C22×C4—21no—
1515C22×C4—41no—
1516C22×C4—41no—
1517C22×C4—44no—
1518C22×C4C2×D4×C6711yescharacteristic
1519C22×C4C2×D4×C6711yescharacteristic
1520C22×C4C2×D4×C6711yescharacteristic
1521C22×C4C24×C6711yescharacteristic
1522C22×C4C24×C6711yescharacteristic
1523C22×C4C24×C6711yescharacteristic
1524C22×C4C24×C6711yescharacteristic
1525C22×C4C24×C6711yescharacteristic
1526Q16—22no—
1527Q16—22no—
1528Q16—22no—
1529Q16—41no—
1530Q16—41no—
1531Q16—41no—
1532Q16—41no—
1533Q16—41no—
1534Q16—41no—
1535Q16—41no—
1536Q16—41no—
1537Q16—41no—
1538SD16—22no—
1539SD16—22no—
1540SD16—22no—
1541SD16—22no—
1542SD16—41no—
1543SD16—41no—
1544SD16—41no—
1545SD16—41no—
1546SD16—41no—
1547SD16—41no—
1548D8—22no—
1549D8—41no—
1550M16—41no—
1551M16—41no—
1552C2×C8—41no—
1553C2×C8—41no—
1554C2×C8—41no—
1555C2×C8—41no—
1556C2×C8—41no—
1557C2×C8—41no—
1558C2×C8C24×C6711yescharacteristic
1559C2×C8C24×C6711yescharacteristic
1560C2×C8C24×C6711yescharacteristic
1561C2×C8C24×C6711yescharacteristic
1562C2×C8C24×C6711yescharacteristic
1563C2×C8C24×C6711yescharacteristic
1564C2×C8C24×C6711yescharacteristic
1565C2×C8C24×C6711yescharacteristic
1566C4⋊C4—21no—
1567C4⋊C4—21no—
1568C4⋊C4—21no—
1569C4⋊C4—21no—
1570C4⋊C4—21no—
1571C4⋊C4—21no—
1572C4⋊C4—21no—
1573C4⋊C4—21no—
1574C4⋊C4—21no—
1575C4⋊C4—21no—
1576C4⋊C4—21no—
1577C4⋊C4—21no—
1578C4⋊C4—21no—
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⋊C4C2×D4×C6711yescharacteristic
1599C4⋊C4C2×D4×C6711yescharacteristic
1600C4⋊C4C2×D4×C6711yescharacteristic
1601C4⋊C4C2×D4×C6711yescharacteristic
1602C4⋊C4C2×D4×C6711yescharacteristic
1603C4⋊C4C2×D4×C6711yescharacteristic
1604C4⋊C4C24×C6711yescharacteristic
1605C4⋊C4C24×C6711yescharacteristic
1606C4⋊C4C24×C6711yescharacteristic
1607C4⋊C4C24×C6711yescharacteristic
1608C4⋊C4C24×C6711yescharacteristic
1609C4⋊C4C24×C6711yescharacteristic
1610C22⋊C4—21no—
1611C22⋊C4—21no—
1612C22⋊C4—21no—
1613C22⋊C4—21no—
1614C22⋊C4—21no—
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⋊C4C2×D4×C6711yescharacteristic
1642C22⋊C4C2×D4×C6711yescharacteristic
1643C22⋊C4C2×D4×C6711yescharacteristic
1644C22⋊C4C2×D4×C6711yescharacteristic
1645C22⋊C4C2×D4×C6711yescharacteristic
1646C22⋊C4C2×D4×C6711yescharacteristic
1647C22⋊C4C2×D4×C6711yescharacteristic
1648C22⋊C4C2×D4×C6711yescharacteristic
1649C22⋊C4C2×D4×C6711yescharacteristic
1650C22⋊C4C2×D4×C6711yescharacteristic
1651C42—21no—
1652C42—21no—
1653C42—21no—
1654C42—21no—
1655C42—21no—
1656C42—21no—
1657C42—21no—
1658C42C24×C6711yescharacteristic
1659C42C24×C6711yescharacteristic
1660C23—21no—
1661C23—22no—
1662C23—21no—
1663C23—21no—
1664C23—41no—
1665C23—41no—
1666C23—42no—
1667C23—42no—
1668C23—81no—
1669C23C22×D4×C6711yescharacteristic
1670C23C22×D4×C6711yescharacteristic
1671C23C22×D4×C6711yescharacteristic
1672C23C22×D4×C6711yescharacteristic
1673C23C22×D4×C6711yescharacteristic
1674Q8—21no—
1675Q8—21no—
1676Q8—21no—
1677Q8—21no—
1678Q8—21no—
1679Q8—21no—
1680Q8—21no—
1681Q8—21no—
1682Q8—21no—
1683Q8—21no—
1684Q8—21no—
1685Q8—21no—
1686Q8—21no—
1687Q8—41no—
1688Q8—42no—
1689Q8—42no—
1690Q8—42no—
1691Q8—42no—
1692Q8—81no—
1693Q8—81no—
1694Q8—81no—
1695Q8H(5,𝔽2)×C6712yes—
1696D4—24no—
1697D4—22no—
1698D4—22no—
1699D4—21no—
1700D4—21no—
1701D4—21no—
1702D4—21no—
1703D4—21no—
1704D4—41no—
1705D4—41no—
1706D4—41no—
1707D4—41no—
1708D4—41no—
1709D4—42no—
1710D4—42no—
1711D4—42no—
1712D4—42no—
1713D4—42no—
1714D4—42no—
1715D4—42no—
1716D4—81no—
1717D4—81no—
1718D4—81no—
1719D4—81no—
1720D4—81no—
1721D4—81no—
1722D4H(5,𝔽2)×C6712yes—
1723C2×C4—24no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
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—41no—
1748C2×C4—41no—
1749C2×C4—41no—
1750C2×C4—42no—
1751C2×C4—42no—
1752C2×C4—42no—
1753C2×C4—42no—
1754C2×C4—42no—
1755C2×C4—42no—
1756C2×C4—42no—
1757C2×C4—42no—
1758C2×C4—42no—
1759C2×C4—81no—
1760C2×C4—81no—
1761C2×C4—81no—
1762C2×C4—81no—
1763C2×C4—81no—
1764C2×C4—81no—
1765C2×C4—81no—
1766C2×C4—81no—
1767C2×C4—81no—
1768C2×C4—81no—
1769C2×C4C22×D4×C6711yescharacteristic
1770C2×C4C22×D4×C6711yescharacteristic
1771C2×C4C22×D4×C6711yescharacteristic
1772C2×C4C22×D4×C6711yescharacteristic
1773C2×C4C22×D4×C6711yescharacteristic
1774C2×C4C22×D4×C6711yescharacteristic
1775C2×C4C22×D4×C6711yescharacteristic
1776C2×C4C22×D4×C6711yescharacteristic
1777C2×C4C22×D4×C6711yescharacteristic
1778C2×C4C25×C6711yescharacteristic
1779C8—21no—
1780C8—21no—
1781C8—21no—
1782C8—21no—
1783C8—21no—
1784C8—21no—
1785C8—21no—
1786C8—21no—
1787C22—21no—
1788C22—21no—
1789C22—21no—
1790C22—21no—
1791C22—21no—
1792C22—21no—
1793C22—21no—
1794C22—21no—
1795C22—21no—
1796C22—21no—
1797C22—21no—
1798C22—22no—
1799C22—21no—
1800C22—21no—
1801C22—21no—
1802C22—41no—
1803C22—41no—
1804C22—41no—
1805C22—41no—
1806C22—41no—
1807C22—41no—
1808C22—41no—
1809C22—41no—
1810C22—82no—
1811C22—84no—
1812C22#578×C6712yes—
1813C22C23×D4×C6711yescharacteristic
1814C4—21no—
1815C4—21no—
1816C4—21no—
1817C4—21no—
1818C4—21no—
1819C4—22no—
1820C4—21no—
1821C4—21no—
1822C4—21no—
1823C4—21no—
1824C4—41no—
1825C4—41no—
1826C4—41no—
1827C4—41no—
1828C4—41no—
1829C4—41no—
1830C4—41no—
1831C4—41no—
1832C4—41no—
1833C4—41no—
1834C4—41no—
1835C4—41no—
1836C4C2×H(5,𝔽2)×C6711yescharacteristic
1837C4C2×H(5,𝔽2)×C6711yescharacteristic
1838C2—22no—
1839C2—41no—
1840C2—41no—
1841C2—41no—
1842C2—41no—
1843C2—42no—
1844C2—81no—
1845C2—81no—
1846C2C67×#348411yescharacteristic
1847C2C2×#578×C6711yescharacteristic
1848C2C67×#358411yescharacteristic
subgroupG/H
center, socleC22×C67C23×D4
commutator, Frattini, cosocleC2×C4C25×C67
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C67 ◁ #525×C67 ◁ G

Complements

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

NH ≅ G/Ntype
1. C67×#3541C2semidirect
2. C67×#3489C2semidirect
3. C67×#3320C2semidirect
4. C67×#3315C2semidirect
5. C67×#3314C2semidirect
6. C67×#3313C2semidirect
7. C67×#3302C2semidirect
8. C67×#3300C2semidirect
9. C67×#3299C2semidirect
10. C67×#3297C2semidirect
11. D4×Q16×C67C2semidirect
12. C67×#3285C2semidirect
13. C67×#3283C2semidirect
14. C67×#3282C2semidirect
15. C67×#3270C2semidirect
16. C67×#3269C2semidirect
17. C67×#3269C2semidirect
18. C67×#3266C2semidirect
19. C67×#3225C2semidirect
20. C67×#3223C2semidirect
21. C67×#3203C2semidirect
22. C67×#3201C2semidirect
23. C67×#3190C2semidirect
24. C67×#3189C2semidirect
25. C67×#3124C2semidirect
26. C67×#3120C2semidirect
27. C67×#3013C2semidirect
28. C67×#3011C2semidirect
29. C67×#3002C2semidirect
30. C2×#452×C67C2semidirect
31. C67×#2977C2semidirect
34. C2×#137×C67C22semidirect
35. C2×#137×C67C22semidirect
38. C2×#135×C67C22semidirect
40. C22×Q16×C67C22semidirect
44. #556×C67C22semidirect
49. #552×C67C22semidirect
56. #548×C67C22semidirect
61. #547×C67C22semidirect
67. #542×C67C22semidirect
68. #541×C67C22semidirect
74. #537×C67C22semidirect
77. #536×C67C22semidirect
85. #497×C67C22semidirect
86. #497×C67C22semidirect
87. #495×C67C22semidirect
88. #494×C67C22semidirect
89. #491×C67C22semidirect
90. #489×C67C22semidirect
91. #488×C67C22semidirect
92. #487×C67C22semidirect
93. #485×C67C22semidirect
94. #485×C67C22semidirect
95. #485×C67C22semidirect
98. #484×C67C22semidirect
99. #484×C67C22semidirect
100. #484×C67C22semidirect
101. #483×C67C22semidirect
102. #482×C67C22semidirect
103. #480×C67C22semidirect
104. #480×C67C22semidirect
105. #479×C67C22semidirect
106. #478×C67C22semidirect
107. #477×C67C22semidirect
108. #474×C67C22semidirect
109. #470×C67C22semidirect
110. #468×C67C22semidirect
111. #468×C67C22semidirect
112. #468×C67C22semidirect
115. #467×C67C22semidirect
116. #467×C67C22semidirect
117. #467×C67C22semidirect
118. #467×C67C22semidirect
119. #467×C67C22semidirect
120. #467×C67C22semidirect
121. #466×C67C22semidirect
124. #465×C67C22semidirect
125. #464×C67C22semidirect
126. #464×C67C22semidirect
127. #464×C67C22semidirect
128. #464×C67C22semidirect
129. #463×C67C22semidirect
130. #463×C67C22semidirect
131. #462×C67C22semidirect
132. #462×C67C22semidirect
133. #462×C67C22semidirect
134. #462×C67C22semidirect
135. #461×C67C22semidirect
136. #461×C67C22semidirect
147. #452×C67C22semidirect
148. #452×C67C22semidirect
149. #452×C67C22semidirect
150. #452×C67C22semidirect
151. #452×C67C22semidirect
152. #452×C67C22semidirect
156. #451×C67C22semidirect
157. #451×C67C22semidirect
158. #451×C67C22semidirect
159. #451×C67C22semidirect
160. #451×C67C22semidirect
161. #451×C67C22semidirect
162. #451×C67C22semidirect
166. #449×C67C22semidirect
167. #449×C67C22semidirect
169. #448×C67C22semidirect
170. #448×C67C22semidirect
171. #448×C67C22semidirect
173. #441×C67C22semidirect
174. #440×C67C22semidirect
175. #440×C67C22semidirect
176. #440×C67C22semidirect
177. C4×Q16×C67C22semidirect
178. C4×Q16×C67C22semidirect
179. C4×SD16×C67C22semidirect
180. C4×D8×C67C22semidirect
183. #435×C67C22semidirect
184. #435×C67C22semidirect
187. C8×D4×C67C22semidirect
188. C8×D4×C67C22semidirect
189. #433×C67C22semidirect
190. #433×C67C22semidirect
191. #419×C67C22semidirect
192. #417×C67C22semidirect
195. #416×C67C22semidirect
197. C2×#103×C67C22semidirect
199. #408×C67C22semidirect
200. #408×C67C22semidirect
913. #61642C67direct (N × H)
925. #3541C2×C67semidirect
926. #3489C2×C67semidirect
927. #3320C2×C67semidirect
928. #3315C2×C67semidirect
929. #3314C2×C67semidirect
930. #3313C2×C67semidirect
931. #3302C2×C67semidirect
932. #3300C2×C67semidirect
933. #3299C2×C67semidirect
934. #3297C2×C67semidirect
935. D4×Q16C2×C67semidirect
936. #3285C2×C67semidirect
937. #3283C2×C67semidirect
938. #3282C2×C67semidirect
939. #3270C2×C67semidirect
940. #3269C2×C67semidirect
941. #3269C2×C67semidirect
942. #3266C2×C67semidirect
943. #3225C2×C67semidirect
944. #3223C2×C67semidirect
945. #3203C2×C67semidirect
946. #3201C2×C67semidirect
947. #3190C2×C67semidirect
948. #3189C2×C67semidirect
949. #3124C2×C67semidirect
950. #3120C2×C67semidirect
951. #3013C2×C67semidirect
952. #3011C2×C67semidirect
953. #3002C2×C67semidirect
954. C2×#452C2×C67semidirect
955. #2977C2×C67semidirect
956. C67#61642direct (N × H)
959. C2×#137C22×C67semidirect
960. C2×#137C22×C67semidirect
963. C2×#135C22×C67semidirect
965. C22×Q16C22×C67semidirect
969. #556C22×C67semidirect
974. #552C22×C67semidirect
981. #548C22×C67semidirect
986. #547C22×C67semidirect
992. #542C22×C67semidirect
993. #541C22×C67semidirect
999. #537C22×C67semidirect
1002. #536C22×C67semidirect
1010. #497C22×C67semidirect
1011. #497C22×C67semidirect
1012. #495C22×C67semidirect
1013. #494C22×C67semidirect
1014. #491C22×C67semidirect
1015. #489C22×C67semidirect
1016. #488C22×C67semidirect
1017. #487C22×C67semidirect
1018. #485C22×C67semidirect
1019. #485C22×C67semidirect
1020. #485C22×C67semidirect
1023. #484C22×C67semidirect
1024. #484C22×C67semidirect
1025. #484C22×C67semidirect
1026. #483C22×C67semidirect
1027. #482C22×C67semidirect
1028. #480C22×C67semidirect
1029. #480C22×C67semidirect
1030. #479C22×C67semidirect
1031. #478C22×C67semidirect
1032. #477C22×C67semidirect
1033. #474C22×C67semidirect
1034. #470C22×C67semidirect
1035. #468C22×C67semidirect
1036. #468C22×C67semidirect
1037. #468C22×C67semidirect
1040. #467C22×C67semidirect
1041. #467C22×C67semidirect
1042. #467C22×C67semidirect
1043. #467C22×C67semidirect
1044. #467C22×C67semidirect
1045. #467C22×C67semidirect
1046. #466C22×C67semidirect
1049. #465C22×C67semidirect
1050. #464C22×C67semidirect
1051. #464C22×C67semidirect
1052. #464C22×C67semidirect
1053. #464C22×C67semidirect
1054. #463C22×C67semidirect
1055. #463C22×C67semidirect
1056. #462C22×C67semidirect
1057. #462C22×C67semidirect
1058. #462C22×C67semidirect
1059. #462C22×C67semidirect
1060. #461C22×C67semidirect
1061. #461C22×C67semidirect
1072. #452C22×C67semidirect
1073. #452C22×C67semidirect
1074. #452C22×C67semidirect
1075. #452C22×C67semidirect
1076. #452C22×C67semidirect
1077. #452C22×C67semidirect
1081. #451C22×C67semidirect
1082. #451C22×C67semidirect
1083. #451C22×C67semidirect
1084. #451C22×C67semidirect
1085. #451C22×C67semidirect
1086. #451C22×C67semidirect
1087. #451C22×C67semidirect
1091. #449C22×C67semidirect
1092. #449C22×C67semidirect
1094. #448C22×C67semidirect
1095. #448C22×C67semidirect
1096. #448C22×C67semidirect
1098. #441C22×C67semidirect
1099. #440C22×C67semidirect
1100. #440C22×C67semidirect
1101. #440C22×C67semidirect
1102. C4×Q16C22×C67semidirect
1103. C4×Q16C22×C67semidirect
1104. C4×SD16C22×C67semidirect
1105. C4×D8C22×C67semidirect
1108. #435C22×C67semidirect
1109. #435C22×C67semidirect
1112. C8×D4C22×C67semidirect
1113. C8×D4C22×C67semidirect
1114. #433C22×C67semidirect
1115. #433C22×C67semidirect
1116. #419C22×C67semidirect
1117. #417C22×C67semidirect
1120. #416C22×C67semidirect
1122. C2×#103C22×C67semidirect
1124. #408C22×C67semidirect
1125. #408C22×C67semidirect

Maximal subgroups

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

subgroupindex
C67×#35412
C67×#34892
C67×#33202
C67×#33152
C67×#33142
C67×#33132
C67×#33022
C67×#33002
C67×#32992
C67×#32972
D4×Q16×C672
C67×#32852
C67×#32832
C67×#32822
C67×#32702
C67×#32692
C67×#32662
C67×#32252
C67×#32232
C67×#32032
C67×#32012
C67×#31902
C67×#31892
C67×#31242
C67×#31202
C67×#30132
C67×#30112
C67×#30022
C2×#452×C672
C67×#29772
#6164267