Finite Group Databasebeta

← C67×#61627 #30740878

Subgroups — C67×#61627 #30740878

Order 17152.

2050 conjugacy classes of subgroups.

The subgroup lattice has 1868 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C67×#3540C211yesmaximal, characteristic, complemented
2C67×#3489C211yesmaximal, characteristic, complemented
3C67×#3329C211yesmaximal, characteristic, complemented
4C67×#3328C211yesmaximal, characteristic, complemented
5C67×#3321C211yesmaximal, characteristic, complemented
6C67×#3319C211yesmaximal, characteristic, complemented
7C67×#3313C211yesmaximal, characteristic, complemented
8C67×#3311C211yesmaximal, characteristic, complemented
9C67×#3303C211yesmaximal, characteristic, complemented
10C67×#3302C211yesmaximal, characteristic, complemented
11C67×#3285C211yesmaximal, characteristic, complemented
12C67×#3282C211yesmaximal, characteristic, complemented
13C67×#3275C211yesmaximal, characteristic, complemented
14C67×#3273C211yesmaximal, characteristic, complemented
15C67×#3270C211yesmaximal, characteristic, complemented
16C67×#3269C211yesmaximal, characteristic, complemented
17C67×#3267C211yesmaximal, characteristic, complemented
18C67×#3266C211yesmaximal, characteristic, complemented
19C67×#3225C211yesmaximal, characteristic, complemented
20C67×#3225C211yesmaximal, characteristic, complemented
21C67×#3201C211yesmaximal, characteristic, complemented
22C67×#3198C211yesmaximal, characteristic, complemented
23C67×#3196C211yesmaximal, characteristic, complemented
24C67×#3190C211yesmaximal, characteristic, complemented
25C67×#3125C211yesmaximal, characteristic, complemented
26C67×#3124C211yesmaximal, characteristic, complemented
27C67×#3011C211yesmaximal, characteristic, complemented
28C67×#3010C211yesmaximal, characteristic, complemented
29C67×#3005C211yesmaximal, characteristic, complemented
30C67×#3002C211yesmaximal, characteristic, complemented
31C67×#2976C211yesmaximal, characteristic, complemented
32C2×2−1+4×C67C2211yescharacteristic
33C22×#41×C67C2211yescharacteristic, complemented
34C2×#137×C67C2211yescharacteristic
35C2×#137×C67C2211yescharacteristic, complemented
36C2×AGL(1,ℤ/8)×C67C2211yescharacteristic
37C2×AGL(1,ℤ/8)×C67C2211yescharacteristic, complemented
38C2×#135×C67C2211yescharacteristic
39C2×#135×C67C2211yescharacteristic
40C22×Q16×C67C2211yescharacteristic, complemented
41C22×SD16×C67C2211yescharacteristic, complemented
42H(3,𝔽4)×C67—21no—
43#560×C67—21no—
44#559×C67—21no—
45#556×C67C2211yescharacteristic
46#556×C67C2211yescharacteristic, complemented
47#555×C67C2211yescharacteristic
48#555×C67C2211yescharacteristic, complemented
49#551×C67—21no—
50D4×Q8×C67C2211yescharacteristic
51D4×Q8×C67C2211yescharacteristic, complemented
52#548×C67C2211yescharacteristic
53#548×C67C2211yescharacteristic
54#548×C67C2211yescharacteristic, complemented
55#548×C67C2211yescharacteristic, complemented
56#547×C67—21no—
57#547×C67—21no—
58#547×C67C2211yescharacteristic
59#547×C67C2211yescharacteristic, complemented
60#546×C67—21no—
61#546×C67—21no—
62#546×C67C2211yescharacteristic
63#546×C67C2211yescharacteristic
64#546×C67C2211yescharacteristic, complemented
65#546×C67C2211yescharacteristic, complemented
66#542×C67—21no—
67#542×C67—21no—
68#542×C67C2211yescharacteristic, complemented
69#542×C67C2211yescharacteristic, complemented
70#538×C67—21no—
71#538×C67—21no—
72#537×C67—21no—
73#537×C67C2211yescharacteristic
74#536×C67—21no—
75#536×C67C2211yescharacteristic, complemented
76#536×C67C2211yescharacteristic, complemented
77#535×C67C2211yescharacteristic, complemented
78#525×C67—21no—
79#525×C67C2211yescharacteristic
80#525×C67C2211yescharacteristic
81#525×C67C2211yescharacteristic
82C2×C22⋊Q8×C67—21no—
83C2×C22⋊Q8×C67C2211yescharacteristic, complemented
84#520×C67C2211yescharacteristic, complemented
85#497×C67C2211yescharacteristic, complemented
86#497×C67C2211yescharacteristic, complemented
87#495×C67C2211yescharacteristic, complemented
88#495×C67C2211yescharacteristic, complemented
89#489×C67C2211yescharacteristic, complemented
90#489×C67C2211yescharacteristic, complemented
91#487×C67C2211yescharacteristic, complemented
92#487×C67C2211yescharacteristic, complemented
93#485×C67C2211yescharacteristic, complemented
94#485×C67C2211yescharacteristic, complemented
95#485×C67C2211yescharacteristic, complemented
96#485×C67C2211yescharacteristic, complemented
97#485×C67C2211yescharacteristic, complemented
98#485×C67C2211yescharacteristic, complemented
99#484×C67C2211yescharacteristic, complemented
100#483×C67C2211yescharacteristic, complemented
101#482×C67C2211yescharacteristic, complemented
102#482×C67C2211yescharacteristic, complemented
103#481×C67C2211yescharacteristic, complemented
104#480×C67C2211yescharacteristic, complemented
105#477×C67C2211yescharacteristic, complemented
106#476×C67C2211yescharacteristic, complemented
107#475×C67C2211yescharacteristic, complemented
108#474×C67C2211yescharacteristic, complemented
109#470×C67C2211yescharacteristic, complemented
110#470×C67C2211yescharacteristic, complemented
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#464×C67C2211yescharacteristic, complemented
128#464×C67C2211yescharacteristic, complemented
129#463×C67C2211yescharacteristic, complemented
130#463×C67C2211yescharacteristic, complemented
131#463×C67C2211yescharacteristic, complemented
132#463×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, complemented
140#452×C67C2211yescharacteristic, complemented
141#452×C67C2211yescharacteristic, complemented
142#452×C67C2211yescharacteristic, complemented
143#452×C67C2211yescharacteristic, complemented
144#452×C67C2211yescharacteristic, complemented
145#452×C67C2211yescharacteristic, complemented
146#452×C67C2211yescharacteristic, complemented
147#452×C67C2211yescharacteristic, complemented
148#452×C67C2211yescharacteristic, complemented
149#451×C67C2211yescharacteristic, complemented
150#451×C67C2211yescharacteristic, complemented
151#451×C67C2211yescharacteristic, complemented
152#451×C67C2211yescharacteristic, complemented
153#451×C67C2211yescharacteristic, complemented
154#451×C67C2211yescharacteristic, complemented
155#450×C67C2211yescharacteristic, complemented
156#450×C67C2211yescharacteristic, complemented
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#448×C67C2211yescharacteristic
166#448×C67C2211yescharacteristic, complemented
167#448×C67C2211yescharacteristic, complemented
168#448×C67C2211yescharacteristic, complemented
169#448×C67C2211yescharacteristic, complemented
170#448×C67C2211yescharacteristic, complemented
171#447×C67C2211yescharacteristic
172#447×C67C2211yescharacteristic, complemented
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, complemented
183#435×C67C2211yescharacteristic
184#435×C67C2211yescharacteristic, complemented
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, complemented
192#419×C67C2211yescharacteristic, complemented
193#419×C67C2211yescharacteristic, complemented
194#418×C67C2211yescharacteristic, complemented
195#416×C67C2211yescharacteristic, complemented
196#416×C67C2211yescharacteristic, complemented
197#416×C67C2211yescharacteristic, complemented
198#416×C67C2211yescharacteristic, complemented
199#408×C67C2211yescharacteristic, complemented
200#408×C67C2211yescharacteristic, complemented
201#407×C67C2211yescharacteristic, complemented
202C2×C22⋊C8×C67C2211yescharacteristic, complemented
2032−1+4×C67—42no—
2042−1+4×C67—42no—
205C2×#41×C67—21no—
206C2×#41×C67—21no—
207C2×#41×C67—21no—
208C2×#41×C67—21no—
209C2×#41×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×D4×C67—21no—
228C22×D4×C67C2311yescharacteristic
229C22×D4×C67C2311yescharacteristic
230C23×C4×C67—21no—
231C23×C4×C67C2311yescharacteristic
232#137×C67—42no—
233#137×C67—42no—
234AGL(1,ℤ/8)×C67—42no—
235AGL(1,ℤ/8)×C67—42no—
236#135×C67—42no—
237#135×C67—42no—
238C2×Q16×C67—42no—
239C2×Q16×C67C2311yescharacteristic
240C2×Q16×C67C2311yescharacteristic
241C2×Q16×C67C2311yescharacteristic
242C2×Q16×C67C2311yescharacteristic
243C2×Q16×C67C2311yescharacteristic
244C2×Q16×C67C2311yescharacteristic
245C2×Q16×C67C2311yescharacteristic
246C2×Q16×C67C2311yescharacteristic
247C2×SD16×C67—42no—
248C2×SD16×C67C2311yescharacteristic
249C2×SD16×C67C2311yescharacteristic
250C2×SD16×C67C2311yescharacteristic
251C2×SD16×C67C2311yescharacteristic
252C2×SD16×C67C2311yescharacteristic
253C2×SD16×C67C2311yescharacteristic
254C2×SD16×C67C2311yescharacteristic
255C2×SD16×C67C2311yescharacteristic
256C2×SD16×C67C2311yescharacteristic
257C2×SD16×C67C2311yescharacteristic
258C2×SD16×C67C2311yescharacteristic
259C2×SD16×C67C2311yescharacteristic
260C2×D8×C67C2311yescharacteristic
261C2×D8×C67C2311yescharacteristic
262C2×D8×C67C2311yescharacteristic
263C2×D8×C67C2311yescharacteristic
264C2×M16×C67C2311yescharacteristic
265C2×M16×C67C2311yescharacteristic
266C2×M16×C67C2311yescharacteristic
267C2×M16×C67C2311yescharacteristic
268C22×C8×C67C2311yescharacteristic
269C22×C8×C67C2311yescharacteristic
270C22×C8×C67C2311yescharacteristic
271C22×C8×C67C2311yescharacteristic
272C4⋊Q8×C67—21no—
273C4⋊Q8×C67—21no—
274C4⋊Q8×C67—21no—
275C4⋊Q8×C67C2311yescharacteristic
276C4⋊Q8×C67C2311yescharacteristic
277C4⋊Q8×C67C2311yescharacteristic
278C4⋊Q8×C67C2311yescharacteristic
279#127×C67—21no—
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#124×C67—21no—
287#124×C67—21no—
288#124×C67—21no—
289#124×C67—21no—
290#124×C67—21no—
291#124×C67—21no—
292#124×C67—21no—
293#124×C67—21no—
294#124×C67—21no—
295#124×C67—21no—
296#124×C67—21no—
297#124×C67—21no—
298#124×C67—21no—
299#124×C67—21no—
300#124×C67C2311yescharacteristic
301#124×C67C2311yescharacteristic
302#124×C67C2311yescharacteristic
303#124×C67C2311yescharacteristic
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×C67—21no—
319#123×C67—21no—
320#123×C67D411yescharacteristic
321#123×C67D411yescharacteristic
322C22⋊Q8×C67—21no—
323C22⋊Q8×C67—21no—
324C22⋊Q8×C67—21no—
325C22⋊Q8×C67—21no—
326C22⋊Q8×C67—21no—
327C22⋊Q8×C67—21no—
328C22⋊Q8×C67—21no—
329C22⋊Q8×C67—21no—
330C22⋊Q8×C67—21no—
331C22⋊Q8×C67—21no—
332C22⋊Q8×C67—21no—
333C22⋊Q8×C67—21no—
334C22⋊Q8×C67—21no—
335C22⋊Q8×C67—21no—
336C22⋊Q8×C67—21no—
337C22⋊Q8×C67D411yescharacteristic
338C22⋊Q8×C67D411yescharacteristic
339C22⋊Q8×C67C2311yescharacteristic
340C22⋊Q8×C67C2311yescharacteristic
341C22⋊Q8×C67C2311yescharacteristic
342C22⋊Q8×C67C2311yescharacteristic
343C22⋊Q8×C67C2311yescharacteristic
344C22⋊Q8×C67C2311yescharacteristic
345C22⋊Q8×C67C2311yescharacteristic
346C22⋊Q8×C67C2311yescharacteristic
347C22⋊Q8×C67C2311yescharacteristic
348C22⋊Q8×C67C2311yescharacteristic
349C22⋊Q8×C67C2311yescharacteristic
350C22⋊Q8×C67C2311yescharacteristic
351#121×C67—21no—
352#121×C67—21no—
353#121×C67—21no—
354#121×C67—21no—
355#121×C67—21no—
356#121×C67—21no—
357#121×C67—21no—
358#121×C67—21no—
359#121×C67—21no—
360#121×C67—21no—
361#121×C67—21no—
362#121×C67—21no—
363#121×C67—21no—
364#121×C67—21no—
365#121×C67—21no—
366#121×C67D411yescharacteristic
367#121×C67D411yescharacteristic
368#121×C67C2311yescharacteristic
369#121×C67C2311yescharacteristic
370#121×C67C2311yescharacteristic
371#121×C67C2311yescharacteristic
372#121×C67C2311yescharacteristic
373#121×C67C2311yescharacteristic
374#121×C67C2311yescharacteristic
375#121×C67C2311yescharacteristic
376#120×C67—21no—
377#120×C67—21no—
378#120×C67—21no—
379#120×C67—21no—
380#120×C67—21no—
381#120×C67—21no—
382#120×C67—21no—
383#120×C67—21no—
384#120×C67D411yescharacteristic
385#120×C67D411yescharacteristic
386C4×Q8×C67—21no—
387C4×Q8×C67—21no—
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×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
418#117×C67C2311yescharacteristic
419#117×C67C2311yescharacteristic
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×C22⋊C4×C67—21no—
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#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×C67—21no—
492C24×C67C2×D411yescharacteristic
493#41×C67—22no—
494#41×C67—22no—
495#41×C67—22no—
496#41×C67—22no—
497#41×C67—22no—
498#41×C67—22no—
499#41×C67—41no—
500#41×C67—41no—
501#41×C67—41no—
502#41×C67—41no—
503#41×C67—41no—
504#41×C67—41no—
505#41×C67—41no—
506#41×C67—41no—
507#41×C67—44no—
508#41×C67—44no—
509#41×C67—41no—
510#41×C67—41no—
511#41×C67—41no—
512#41×C67—41no—
513#41×C67—44no—
514#41×C67—44no—
515#41×C67—44no—
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—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×C67—41no—
533C2×Q8×C67—41no—
534C2×Q8×C67C2×D411yescharacteristic
535C2×Q8×C67C2411yescharacteristic
536C2×Q8×C67C2411yescharacteristic
537C2×Q8×C67C2411yescharacteristic
538C2×Q8×C67C2411yescharacteristic
539C2×Q8×C67C2411yescharacteristic
540C2×Q8×C67C2411yescharacteristic
541C2×D4×C67—21no—
542C2×D4×C67—22no—
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—41no—
561C2×D4×C67—41no—
562C2×D4×C67—41no—
563C2×D4×C67—44no—
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×C67C2×D411yescharacteristic
571C2×D4×C67C2411yescharacteristic
572C2×D4×C67C2411yescharacteristic
573C2×D4×C67C2411yescharacteristic
574C2×D4×C67C2411yescharacteristic
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—41no—
594C22×C4×C67—41no—
595C22×C4×C67—44no—
596C22×C4×C67C2×D411yescharacteristic
597C22×C4×C67C2×D411yescharacteristic
598C22×C4×C67C2×D411yescharacteristic
599C22×C4×C67C2411yescharacteristic
600C22×C4×C67C2411yescharacteristic
601C22×C4×C67C2411yescharacteristic
602C22×C4×C67C2411yescharacteristic
603C22×C4×C67C2411yescharacteristic
604Q16×C67—22no—
605Q16×C67—22no—
606Q16×C67—41no—
607Q16×C67—41no—
608Q16×C67—41no—
609Q16×C67—41no—
610Q16×C67—41no—
611Q16×C67—41no—
612SD16×C67—22no—
613SD16×C67—22no—
614SD16×C67—22no—
615SD16×C67—22no—
616SD16×C67—41no—
617SD16×C67—41no—
618SD16×C67—41no—
619SD16×C67—41no—
620SD16×C67—41no—
621SD16×C67—41no—
622SD16×C67—41no—
623SD16×C67—41no—
624D8×C67—22no—
625D8×C67—22no—
626D8×C67—41no—
627D8×C67—41no—
628M16×C67—41no—
629M16×C67—41no—
630M16×C67—41no—
631M16×C67—41no—
632C2×C8×C67—41no—
633C2×C8×C67—41no—
634C2×C8×C67—41no—
635C2×C8×C67—41no—
636C2×C8×C67C2411yescharacteristic
637C2×C8×C67C2411yescharacteristic
638C2×C8×C67C2411yescharacteristic
639C2×C8×C67C2411yescharacteristic
640C2×C8×C67C2411yescharacteristic
641C2×C8×C67C2411yescharacteristic
642C2×C8×C67C2411yescharacteristic
643C2×C8×C67C2411yescharacteristic
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×C67C2×D411yescharacteristic
668C4⋊C4×C67C2×D411yescharacteristic
669C4⋊C4×C67C2×D411yescharacteristic
670C4⋊C4×C67C2×D411yescharacteristic
671C4⋊C4×C67C2×D411yescharacteristic
672C4⋊C4×C67C2×D411yescharacteristic
673C4⋊C4×C67C2411yescharacteristic
674C4⋊C4×C67C2411yescharacteristic
675C4⋊C4×C67C2411yescharacteristic
676C4⋊C4×C67C2411yescharacteristic
677C4⋊C4×C67C2411yescharacteristic
678C4⋊C4×C67C2411yescharacteristic
679C22⋊C4×C67—21no—
680C22⋊C4×C67—21no—
681C22⋊C4×C67—21no—
682C22⋊C4×C67—21no—
683C22⋊C4×C67—21no—
684C22⋊C4×C67—21no—
685C22⋊C4×C67—21no—
686C22⋊C4×C67—21no—
687C22⋊C4×C67—21no—
688C22⋊C4×C67—21no—
689C22⋊C4×C67—21no—
690C22⋊C4×C67—21no—
691C22⋊C4×C67—21no—
692C22⋊C4×C67—21no—
693C22⋊C4×C67—21no—
694C22⋊C4×C67—21no—
695C22⋊C4×C67—21no—
696C22⋊C4×C67—21no—
697C22⋊C4×C67—21no—
698C22⋊C4×C67—21no—
699C22⋊C4×C67—21no—
700C22⋊C4×C67—21no—
701C22⋊C4×C67—21no—
702C22⋊C4×C67—21no—
703C22⋊C4×C67—21no—
704C22⋊C4×C67—21no—
705C22⋊C4×C67—21no—
706C22⋊C4×C67—21no—
707C22⋊C4×C67—21no—
708C22⋊C4×C67—21no—
709C22⋊C4×C67—21no—
710C22⋊C4×C67—21no—
711C22⋊C4×C67—21no—
712C22⋊C4×C67—21no—
713C22⋊C4×C67—21no—
714C22⋊C4×C67—21no—
715C22⋊C4×C67C2×D411yescharacteristic
716C22⋊C4×C67C2×D411yescharacteristic
717C22⋊C4×C67C2×D411yescharacteristic
718C22⋊C4×C67C2×D411yescharacteristic
719C22⋊C4×C67C2×D411yescharacteristic
720C22⋊C4×C67C2×D411yescharacteristic
721C22⋊C4×C67C2×D411yescharacteristic
722C22⋊C4×C67C2×D411yescharacteristic
723C22⋊C4×C67C2×D411yescharacteristic
724C22⋊C4×C67C2×D411yescharacteristic
725C42×C67—21no—
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—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×C67—81no—
746C23×C67—81no—
747C23×C67—81no—
748C23×C67C22×D411yescharacteristic
749C23×C67C22×D411yescharacteristic
750C23×C67C22×D411yescharacteristic
751C23×C67C22×D411yescharacteristic
752C23×C67C22×D411yescharacteristic
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—21no—
763Q8×C67—21no—
764Q8×C67—41no—
765Q8×C67—42no—
766Q8×C67—42no—
767Q8×C67—42no—
768Q8×C67—42no—
769Q8×C67—81no—
770Q8×C67—81no—
771Q8×C67—81no—
772Q8×C67H(5,𝔽2)12yes—
773D4×C67—24no—
774D4×C67—21no—
775D4×C67—21no—
776D4×C67—21no—
777D4×C67—21no—
778D4×C67—21no—
779D4×C67—21no—
780D4×C67—21no—
781D4×C67—41no—
782D4×C67—41no—
783D4×C67—41no—
784D4×C67—41no—
785D4×C67—41no—
786D4×C67—41no—
787D4×C67—41no—
788D4×C67—42no—
789D4×C67—42no—
790D4×C67—42no—
791D4×C67—42no—
792D4×C67—42no—
793D4×C67—42no—
794D4×C67—81no—
795D4×C67—81no—
796D4×C67—81no—
797D4×C67—81no—
798D4×C67—81no—
799D4×C67—81no—
800D4×C67—81no—
801D4×C67—81no—
802D4×C67—81no—
803D4×C67—81no—
804D4×C67—81no—
805D4×C67H(5,𝔽2)12yes—
806C2×C4×C67—24no—
807C2×C4×C67—21no—
808C2×C4×C67—21no—
809C2×C4×C67—21no—
810C2×C4×C67—21no—
811C2×C4×C67—21no—
812C2×C4×C67—21no—
813C2×C4×C67—21no—
814C2×C4×C67—21no—
815C2×C4×C67—21no—
816C2×C4×C67—21no—
817C2×C4×C67—21no—
818C2×C4×C67—21no—
819C2×C4×C67—21no—
820C2×C4×C67—21no—
821C2×C4×C67—21no—
822C2×C4×C67—21no—
823C2×C4×C67—21no—
824C2×C4×C67—21no—
825C2×C4×C67—21no—
826C2×C4×C67—21no—
827C2×C4×C67—21no—
828C2×C4×C67—21no—
829C2×C4×C67—41no—
830C2×C4×C67—41no—
831C2×C4×C67—41no—
832C2×C4×C67—42no—
833C2×C4×C67—42no—
834C2×C4×C67—42no—
835C2×C4×C67—42no—
836C2×C4×C67—42no—
837C2×C4×C67—42no—
838C2×C4×C67—42no—
839C2×C4×C67—42no—
840C2×C4×C67—42no—
841C2×C4×C67—81no—
842C2×C4×C67—81no—
843C2×C4×C67—81no—
844C2×C4×C67—81no—
845C2×C4×C67—81no—
846C2×C4×C67—81no—
847C2×C4×C67—81no—
848C2×C4×C67—81no—
849C2×C4×C67C22×D411yescharacteristic
850C2×C4×C67C22×D411yescharacteristic
851C2×C4×C67C22×D411yescharacteristic
852C2×C4×C67C22×D411yescharacteristic
853C2×C4×C67C22×D411yescharacteristic
854C2×C4×C67C22×D411yescharacteristic
855C2×C4×C67C22×D411yescharacteristic
856C2×C4×C67C22×D411yescharacteristic
857C2×C4×C67C22×D411yescharacteristic
858C2×C4×C67C2511yescharacteristic
859C8×C67—21no—
860C8×C67—21no—
861C8×C67—21no—
862C8×C67—21no—
863C8×C67—21no—
864C8×C67—21no—
865C8×C67—21no—
866C8×C67—21no—
867C22×C67—21no—
868C22×C67—21no—
869C22×C67—21no—
870C22×C67—21no—
871C22×C67—21no—
872C22×C67—21no—
873C22×C67—21no—
874C22×C67—21no—
875C22×C67—21no—
876C22×C67—21no—
877C22×C67—21no—
878C22×C67—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×C67—162no—
897C22×C67C23×D411yescharacteristic
898C4×C67—21no—
899C4×C67—21no—
900C4×C67—21no—
901C4×C67—21no—
902C4×C67—21no—
903C4×C67—22no—
904C4×C67—21no—
905C4×C67—21no—
906C4×C67—21no—
907C4×C67—21no—
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×C67—41no—
919C4×C67C2×H(5,𝔽2)11yescharacteristic
920C4×C67C2×H(5,𝔽2)11yescharacteristic
921#61627C6711yesmaximal, characteristic, direct product factor, Sylow
922C2×C67—41no—
923C2×C67—41no—
924C2×C67—41no—
925C2×C67—41no—
926C2×C67—41no—
927C2×C67—42no—
928C2×C67—81no—
929C2×C67—81no—
930C2×C67—81no—
931C2×C67#348411yescharacteristic
932C2×C67#358411yescharacteristic
933C2×C67#358611yescharacteristic
934#3540C2×C6711yescharacteristic, complemented
935#3489C2×C6711yescharacteristic, complemented
936#3329C2×C6711yescharacteristic, complemented
937#3328C2×C6711yescharacteristic, complemented
938#3321C2×C6711yescharacteristic, complemented
939#3319C2×C6711yescharacteristic, complemented
940#3313C2×C6711yescharacteristic, complemented
941#3311C2×C6711yescharacteristic, complemented
942#3303C2×C6711yescharacteristic, complemented
943#3302C2×C6711yescharacteristic, complemented
944#3285C2×C6711yescharacteristic, complemented
945#3282C2×C6711yescharacteristic, complemented
946#3275C2×C6711yescharacteristic, complemented
947#3273C2×C6711yescharacteristic, complemented
948#3270C2×C6711yescharacteristic, complemented
949#3269C2×C6711yescharacteristic, complemented
950#3267C2×C6711yescharacteristic, complemented
951#3266C2×C6711yescharacteristic, complemented
952#3225C2×C6711yescharacteristic, complemented
953#3225C2×C6711yescharacteristic, complemented
954#3201C2×C6711yescharacteristic, complemented
955#3198C2×C6711yescharacteristic, complemented
956#3196C2×C6711yescharacteristic, complemented
957#3190C2×C6711yescharacteristic, complemented
958#3125C2×C6711yescharacteristic, complemented
959#3124C2×C6711yescharacteristic, complemented
960#3011C2×C6711yescharacteristic, complemented
961#3010C2×C6711yescharacteristic, complemented
962#3005C2×C6711yescharacteristic, complemented
963#3002C2×C6711yescharacteristic, complemented
964#2976C2×C6711yescharacteristic, complemented
965C67#6162711yescharacteristic, direct product factor, Sylow
966C2×2−1+4C22×C6711yescharacteristic
967C22×#41C22×C6711yescharacteristic, complemented
968C2×#137C22×C6711yescharacteristic
969C2×#137C22×C6711yescharacteristic, complemented
970C2×AGL(1,ℤ/8)C22×C6711yescharacteristic
971C2×AGL(1,ℤ/8)C22×C6711yescharacteristic, complemented
972C2×#135C22×C6711yescharacteristic
973C2×#135C22×C6711yescharacteristic
974C22×Q16C22×C6711yescharacteristic, complemented
975C22×SD16C22×C6711yescharacteristic, complemented
976H(3,𝔽4)—21no—
977#560—21no—
978#559—21no—
979#556C22×C6711yescharacteristic
980#556C22×C6711yescharacteristic, complemented
981#555C22×C6711yescharacteristic
982#555C22×C6711yescharacteristic, complemented
983#551—21no—
984D4×Q8C22×C6711yescharacteristic
985D4×Q8C22×C6711yescharacteristic, complemented
986#548C22×C6711yescharacteristic
987#548C22×C6711yescharacteristic
988#548C22×C6711yescharacteristic, complemented
989#548C22×C6711yescharacteristic, complemented
990#547—21no—
991#547—21no—
992#547C22×C6711yescharacteristic
993#547C22×C6711yescharacteristic, complemented
994#546—21no—
995#546—21no—
996#546C22×C6711yescharacteristic
997#546C22×C6711yescharacteristic
998#546C22×C6711yescharacteristic, complemented
999#546C22×C6711yescharacteristic, complemented
1000#542—21no—
1001#542—21no—
1002#542C22×C6711yescharacteristic, complemented
1003#542C22×C6711yescharacteristic, complemented
1004#538—21no—
1005#538—21no—
1006#537—21no—
1007#537C22×C6711yescharacteristic
1008#536—21no—
1009#536C22×C6711yescharacteristic, complemented
1010#536C22×C6711yescharacteristic, complemented
1011#535C22×C6711yescharacteristic, complemented
1012#525—21no—
1013#525C22×C6711yescharacteristic
1014#525C22×C6711yescharacteristic
1015#525C22×C6711yescharacteristic
1016C2×C22⋊Q8—21no—
1017C2×C22⋊Q8C22×C6711yescharacteristic, complemented
1018#520C22×C6711yescharacteristic, complemented
1019#497C22×C6711yescharacteristic, complemented
1020#497C22×C6711yescharacteristic, complemented
1021#495C22×C6711yescharacteristic, complemented
1022#495C22×C6711yescharacteristic, complemented
1023#489C22×C6711yescharacteristic, complemented
1024#489C22×C6711yescharacteristic, complemented
1025#487C22×C6711yescharacteristic, complemented
1026#487C22×C6711yescharacteristic, complemented
1027#485C22×C6711yescharacteristic, complemented
1028#485C22×C6711yescharacteristic, complemented
1029#485C22×C6711yescharacteristic, complemented
1030#485C22×C6711yescharacteristic, complemented
1031#485C22×C6711yescharacteristic, complemented
1032#485C22×C6711yescharacteristic, complemented
1033#484C22×C6711yescharacteristic, complemented
1034#483C22×C6711yescharacteristic, complemented
1035#482C22×C6711yescharacteristic, complemented
1036#482C22×C6711yescharacteristic, complemented
1037#481C22×C6711yescharacteristic, complemented
1038#480C22×C6711yescharacteristic, complemented
1039#477C22×C6711yescharacteristic, complemented
1040#476C22×C6711yescharacteristic, complemented
1041#475C22×C6711yescharacteristic, complemented
1042#474C22×C6711yescharacteristic, complemented
1043#470C22×C6711yescharacteristic, complemented
1044#470C22×C6711yescharacteristic, complemented
1045#470C22×C6711yescharacteristic, complemented
1046#469C22×C6711yescharacteristic, complemented
1047#468C22×C6711yescharacteristic
1048#468C22×C6711yescharacteristic
1049#468C22×C6711yescharacteristic, complemented
1050#468C22×C6711yescharacteristic, complemented
1051#467C22×C6711yescharacteristic, complemented
1052#467C22×C6711yescharacteristic, complemented
1053#467C22×C6711yescharacteristic, complemented
1054#466C22×C6711yescharacteristic, complemented
1055#465C22×C6711yescharacteristic, complemented
1056#465C22×C6711yescharacteristic, complemented
1057#465C22×C6711yescharacteristic, complemented
1058#465C22×C6711yescharacteristic, complemented
1059#464C22×C6711yescharacteristic, complemented
1060#464C22×C6711yescharacteristic, complemented
1061#464C22×C6711yescharacteristic, complemented
1062#464C22×C6711yescharacteristic, complemented
1063#463C22×C6711yescharacteristic, complemented
1064#463C22×C6711yescharacteristic, complemented
1065#463C22×C6711yescharacteristic, complemented
1066#463C22×C6711yescharacteristic, complemented
1067#462C22×C6711yescharacteristic, complemented
1068#462C22×C6711yescharacteristic, complemented
1069#461C22×C6711yescharacteristic, complemented
1070#461C22×C6711yescharacteristic, complemented
1071#452C22×C6711yescharacteristic
1072#452C22×C6711yescharacteristic
1073#452C22×C6711yescharacteristic, complemented
1074#452C22×C6711yescharacteristic, complemented
1075#452C22×C6711yescharacteristic, complemented
1076#452C22×C6711yescharacteristic, complemented
1077#452C22×C6711yescharacteristic, complemented
1078#452C22×C6711yescharacteristic, complemented
1079#452C22×C6711yescharacteristic, complemented
1080#452C22×C6711yescharacteristic, complemented
1081#452C22×C6711yescharacteristic, complemented
1082#452C22×C6711yescharacteristic, complemented
1083#451C22×C6711yescharacteristic, complemented
1084#451C22×C6711yescharacteristic, complemented
1085#451C22×C6711yescharacteristic, complemented
1086#451C22×C6711yescharacteristic, complemented
1087#451C22×C6711yescharacteristic, complemented
1088#451C22×C6711yescharacteristic, complemented
1089#450C22×C6711yescharacteristic, complemented
1090#450C22×C6711yescharacteristic, complemented
1091#449C22×C6711yescharacteristic
1092#449C22×C6711yescharacteristic
1093#449C22×C6711yescharacteristic
1094#449C22×C6711yescharacteristic
1095#449C22×C6711yescharacteristic
1096#449C22×C6711yescharacteristic
1097#449C22×C6711yescharacteristic, complemented
1098#449C22×C6711yescharacteristic, complemented
1099#448C22×C6711yescharacteristic
1100#448C22×C6711yescharacteristic, complemented
1101#448C22×C6711yescharacteristic, complemented
1102#448C22×C6711yescharacteristic, complemented
1103#448C22×C6711yescharacteristic, complemented
1104#448C22×C6711yescharacteristic, complemented
1105#447C22×C6711yescharacteristic
1106#447C22×C6711yescharacteristic, complemented
1107#442C22×C6711yescharacteristic, complemented
1108#441C22×C6711yescharacteristic, complemented
1109#440C22×C6711yescharacteristic, complemented
1110#440C22×C6711yescharacteristic, complemented
1111C4×Q16C22×C6711yescharacteristic, complemented
1112C4×SD16C22×C6711yescharacteristic, complemented
1113C4×SD16C22×C6711yescharacteristic, complemented
1114C4×D8C22×C6711yescharacteristic, complemented
1115#436C22×C6711yescharacteristic
1116#436C22×C6711yescharacteristic, complemented
1117#435C22×C6711yescharacteristic
1118#435C22×C6711yescharacteristic, complemented
1119#435C22×C6711yescharacteristic, complemented
1120#435C22×C6711yescharacteristic, complemented
1121C8×D4C22×C6711yescharacteristic, complemented
1122C8×D4C22×C6711yescharacteristic, complemented
1123#433C22×C6711yescharacteristic, complemented
1124#433C22×C6711yescharacteristic, complemented
1125#419C22×C6711yescharacteristic, complemented
1126#419C22×C6711yescharacteristic, complemented
1127#419C22×C6711yescharacteristic, complemented
1128#418C22×C6711yescharacteristic, complemented
1129#416C22×C6711yescharacteristic, complemented
1130#416C22×C6711yescharacteristic, complemented
1131#416C22×C6711yescharacteristic, complemented
1132#416C22×C6711yescharacteristic, complemented
1133#408C22×C6711yescharacteristic, complemented
1134#408C22×C6711yescharacteristic, complemented
1135#407C22×C6711yescharacteristic, complemented
1136C2×C22⋊C8C22×C6711yescharacteristic, complemented
11372−1+4—42no—
11382−1+4—42no—
1139C2×#41—21no—
1140C2×#41—21no—
1141C2×#41—21no—
1142C2×#41—21no—
1143C2×#41—21no—
1144C2×#41—42no—
1145C2×#41—42no—
1146C2×#41C23×C6711yescharacteristic
1147C2×#41C23×C6711yescharacteristic
1148C2×#41C23×C6711yescharacteristic
1149C2×#41C23×C6711yescharacteristic
1150C2×#41C23×C6711yescharacteristic
1151C2×#41C23×C6711yescharacteristic
1152C2×#41C23×C6711yescharacteristic
1153C2×#41C23×C6711yescharacteristic
1154C2×#41C23×C6711yescharacteristic
1155C22×Q8—21no—
1156C22×Q8C23×C6711yescharacteristic
1157C22×Q8C23×C6711yescharacteristic
1158C22×Q8C23×C6711yescharacteristic
1159C22×Q8C23×C6711yescharacteristic
1160C22×Q8C23×C6711yescharacteristic
1161C22×D4—21no—
1162C22×D4C23×C6711yescharacteristic
1163C22×D4C23×C6711yescharacteristic
1164C23×C4—21no—
1165C23×C4C23×C6711yescharacteristic
1166#137—42no—
1167#137—42no—
1168AGL(1,ℤ/8)—42no—
1169AGL(1,ℤ/8)—42no—
1170#135—42no—
1171#135—42no—
1172C2×Q16—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×SD16—42no—
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×SD16C23×C6711yescharacteristic
1194C2×D8C23×C6711yescharacteristic
1195C2×D8C23×C6711yescharacteristic
1196C2×D8C23×C6711yescharacteristic
1197C2×D8C23×C6711yescharacteristic
1198C2×M16C23×C6711yescharacteristic
1199C2×M16C23×C6711yescharacteristic
1200C2×M16C23×C6711yescharacteristic
1201C2×M16C23×C6711yescharacteristic
1202C22×C8C23×C6711yescharacteristic
1203C22×C8C23×C6711yescharacteristic
1204C22×C8C23×C6711yescharacteristic
1205C22×C8C23×C6711yescharacteristic
1206C4⋊Q8—21no—
1207C4⋊Q8—21no—
1208C4⋊Q8—21no—
1209C4⋊Q8C23×C6711yescharacteristic
1210C4⋊Q8C23×C6711yescharacteristic
1211C4⋊Q8C23×C6711yescharacteristic
1212C4⋊Q8C23×C6711yescharacteristic
1213#127—21no—
1214#126—21no—
1215#126—21no—
1216#126—21no—
1217#126—21no—
1218#126—21no—
1219#126—21no—
1220#124—21no—
1221#124—21no—
1222#124—21no—
1223#124—21no—
1224#124—21no—
1225#124—21no—
1226#124—21no—
1227#124—21no—
1228#124—21no—
1229#124—21no—
1230#124—21no—
1231#124—21no—
1232#124—21no—
1233#124—21no—
1234#124C23×C6711yescharacteristic
1235#124C23×C6711yescharacteristic
1236#124C23×C6711yescharacteristic
1237#124C23×C6711yescharacteristic
1238#123—21no—
1239#123—21no—
1240#123—21no—
1241#123—21no—
1242#123—21no—
1243#123—21no—
1244#123—21no—
1245#123—21no—
1246#123—21no—
1247#123—21no—
1248#123—21no—
1249#123—21no—
1250#123—21no—
1251#123—21no—
1252#123—21no—
1253#123—21no—
1254#123D4×C6711yescharacteristic
1255#123D4×C6711yescharacteristic
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⋊Q8—21no—
1267C22⋊Q8—21no—
1268C22⋊Q8—21no—
1269C22⋊Q8—21no—
1270C22⋊Q8—21no—
1271C22⋊Q8D4×C6711yescharacteristic
1272C22⋊Q8D4×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
1283C22⋊Q8C23×C6711yescharacteristic
1284C22⋊Q8C23×C6711yescharacteristic
1285#121—21no—
1286#121—21no—
1287#121—21no—
1288#121—21no—
1289#121—21no—
1290#121—21no—
1291#121—21no—
1292#121—21no—
1293#121—21no—
1294#121—21no—
1295#121—21no—
1296#121—21no—
1297#121—21no—
1298#121—21no—
1299#121—21no—
1300#121D4×C6711yescharacteristic
1301#121D4×C6711yescharacteristic
1302#121C23×C6711yescharacteristic
1303#121C23×C6711yescharacteristic
1304#121C23×C6711yescharacteristic
1305#121C23×C6711yescharacteristic
1306#121C23×C6711yescharacteristic
1307#121C23×C6711yescharacteristic
1308#121C23×C6711yescharacteristic
1309#121C23×C6711yescharacteristic
1310#120—21no—
1311#120—21no—
1312#120—21no—
1313#120—21no—
1314#120—21no—
1315#120—21no—
1316#120—21no—
1317#120—21no—
1318#120D4×C6711yescharacteristic
1319#120D4×C6711yescharacteristic
1320C4×Q8—21no—
1321C4×Q8—21no—
1322C4×Q8C23×C6711yescharacteristic
1323C4×Q8C23×C6711yescharacteristic
1324C4×Q8C23×C6711yescharacteristic
1325C4×Q8C23×C6711yescharacteristic
1326C4×D4—21no—
1327C4×D4—21no—
1328C4×D4—21no—
1329C4×D4—21no—
1330C4×D4—21no—
1331C4×D4—21no—
1332C4×D4—21no—
1333C4×D4—21no—
1334C4×D4—21no—
1335C4×D4—21no—
1336C4×D4—21no—
1337C4×D4—21no—
1338C4×D4C23×C6711yescharacteristic
1339C4×D4C23×C6711yescharacteristic
1340C4×D4C23×C6711yescharacteristic
1341C4×D4C23×C6711yescharacteristic
1342C4×D4C23×C6711yescharacteristic
1343C4×D4C23×C6711yescharacteristic
1344C4×D4C23×C6711yescharacteristic
1345C4×D4C23×C6711yescharacteristic
1346#117—21no—
1347#117—21no—
1348#117—21no—
1349#117C23×C6711yescharacteristic
1350#117C23×C6711yescharacteristic
1351#117C23×C6711yescharacteristic
1352#117C23×C6711yescharacteristic
1353#117C23×C6711yescharacteristic
1354C2×C4⋊C4—21no—
1355C2×C4⋊C4—21no—
1356C2×C4⋊C4—21no—
1357C2×C4⋊C4—21no—
1358C2×C4⋊C4C23×C6711yescharacteristic
1359C2×C22⋊C4—21no—
1360C2×C22⋊C4—21no—
1361C2×C22⋊C4—21no—
1362C2×C22⋊C4—21no—
1363C2×C22⋊C4—21no—
1364#107C23×C6711yescharacteristic
1365#107C23×C6711yescharacteristic
1366#107C23×C6711yescharacteristic
1367#107C23×C6711yescharacteristic
1368#106C23×C6711yescharacteristic
1369#106C23×C6711yescharacteristic
1370#106C23×C6711yescharacteristic
1371#106C23×C6711yescharacteristic
1372C4⋊C8C23×C6711yescharacteristic
1373C4⋊C8C23×C6711yescharacteristic
1374C4⋊C8C23×C6711yescharacteristic
1375C4⋊C8C23×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#103C23×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
1407#102C23×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
1419C22⋊C8C23×C6711yescharacteristic
1420#97C23×C6711yescharacteristic
1421#97C23×C6711yescharacteristic
1422C4×C8C23×C6711yescharacteristic
1423C4×C8C23×C6711yescharacteristic
1424C24—21no—
1425C24—21no—
1426C24C2×D4×C6711yescharacteristic
1427#41—22no—
1428#41—22no—
1429#41—22no—
1430#41—22no—
1431#41—22no—
1432#41—22no—
1433#41—41no—
1434#41—41no—
1435#41—41no—
1436#41—41no—
1437#41—41no—
1438#41—41no—
1439#41—41no—
1440#41—41no—
1441#41—44no—
1442#41—44no—
1443#41—41no—
1444#41—41no—
1445#41—41no—
1446#41—41no—
1447#41—44no—
1448#41—44no—
1449#41—44no—
1450C2×Q8—21no—
1451C2×Q8—21no—
1452C2×Q8—21no—
1453C2×Q8—21no—
1454C2×Q8—21no—
1455C2×Q8—21no—
1456C2×Q8—21no—
1457C2×Q8—22no—
1458C2×Q8—22no—
1459C2×Q8—22no—
1460C2×Q8—41no—
1461C2×Q8—41no—
1462C2×Q8—41no—
1463C2×Q8—41no—
1464C2×Q8—41no—
1465C2×Q8—44no—
1466C2×Q8—41no—
1467C2×Q8—41no—
1468C2×Q8C2×D4×C6711yescharacteristic
1469C2×Q8C24×C6711yescharacteristic
1470C2×Q8C24×C6711yescharacteristic
1471C2×Q8C24×C6711yescharacteristic
1472C2×Q8C24×C6711yescharacteristic
1473C2×Q8C24×C6711yescharacteristic
1474C2×Q8C24×C6711yescharacteristic
1475C2×D4—21no—
1476C2×D4—22no—
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—41no—
1496C2×D4—41no—
1497C2×D4—44no—
1498C2×D4C2×D4×C6711yescharacteristic
1499C2×D4C2×D4×C6711yescharacteristic
1500C2×D4C2×D4×C6711yescharacteristic
1501C2×D4C2×D4×C6711yescharacteristic
1502C2×D4C2×D4×C6711yescharacteristic
1503C2×D4C2×D4×C6711yescharacteristic
1504C2×D4C2×D4×C6711yescharacteristic
1505C2×D4C24×C6711yescharacteristic
1506C2×D4C24×C6711yescharacteristic
1507C2×D4C24×C6711yescharacteristic
1508C2×D4C24×C6711yescharacteristic
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—41no—
1528C22×C4—41no—
1529C22×C4—44no—
1530C22×C4C2×D4×C6711yescharacteristic
1531C22×C4C2×D4×C6711yescharacteristic
1532C22×C4C2×D4×C6711yescharacteristic
1533C22×C4C24×C6711yescharacteristic
1534C22×C4C24×C6711yescharacteristic
1535C22×C4C24×C6711yescharacteristic
1536C22×C4C24×C6711yescharacteristic
1537C22×C4C24×C6711yescharacteristic
1538Q16—22no—
1539Q16—22no—
1540Q16—41no—
1541Q16—41no—
1542Q16—41no—
1543Q16—41no—
1544Q16—41no—
1545Q16—41no—
1546SD16—22no—
1547SD16—22no—
1548SD16—22no—
1549SD16—22no—
1550SD16—41no—
1551SD16—41no—
1552SD16—41no—
1553SD16—41no—
1554SD16—41no—
1555SD16—41no—
1556SD16—41no—
1557SD16—41no—
1558D8—22no—
1559D8—22no—
1560D8—41no—
1561D8—41no—
1562M16—41no—
1563M16—41no—
1564M16—41no—
1565M16—41no—
1566C2×C8—41no—
1567C2×C8—41no—
1568C2×C8—41no—
1569C2×C8—41no—
1570C2×C8C24×C6711yescharacteristic
1571C2×C8C24×C6711yescharacteristic
1572C2×C8C24×C6711yescharacteristic
1573C2×C8C24×C6711yescharacteristic
1574C2×C8C24×C6711yescharacteristic
1575C2×C8C24×C6711yescharacteristic
1576C2×C8C24×C6711yescharacteristic
1577C2×C8C24×C6711yescharacteristic
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⋊C4—21no—
1599C4⋊C4—21no—
1600C4⋊C4—21no—
1601C4⋊C4C2×D4×C6711yescharacteristic
1602C4⋊C4C2×D4×C6711yescharacteristic
1603C4⋊C4C2×D4×C6711yescharacteristic
1604C4⋊C4C2×D4×C6711yescharacteristic
1605C4⋊C4C2×D4×C6711yescharacteristic
1606C4⋊C4C2×D4×C6711yescharacteristic
1607C4⋊C4C24×C6711yescharacteristic
1608C4⋊C4C24×C6711yescharacteristic
1609C4⋊C4C24×C6711yescharacteristic
1610C4⋊C4C24×C6711yescharacteristic
1611C4⋊C4C24×C6711yescharacteristic
1612C4⋊C4C24×C6711yescharacteristic
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⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—21no—
1644C22⋊C4—21no—
1645C22⋊C4—21no—
1646C22⋊C4—21no—
1647C22⋊C4—21no—
1648C22⋊C4—21no—
1649C22⋊C4C2×D4×C6711yescharacteristic
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
1659C42—21no—
1660C42—21no—
1661C42—21no—
1662C42—21no—
1663C42—21no—
1664C42—21no—
1665C42—21no—
1666C42—21no—
1667C42C24×C6711yescharacteristic
1668C42C24×C6711yescharacteristic
1669C23—21no—
1670C23—21no—
1671C23—21no—
1672C23—21no—
1673C23—41no—
1674C23—41no—
1675C23—41no—
1676C23—42no—
1677C23—42no—
1678C23—81no—
1679C23—81no—
1680C23—81no—
1681C23—81no—
1682C23C22×D4×C6711yescharacteristic
1683C23C22×D4×C6711yescharacteristic
1684C23C22×D4×C6711yescharacteristic
1685C23C22×D4×C6711yescharacteristic
1686C23C22×D4×C6711yescharacteristic
1687Q8—21no—
1688Q8—21no—
1689Q8—21no—
1690Q8—21no—
1691Q8—21no—
1692Q8—21no—
1693Q8—21no—
1694Q8—21no—
1695Q8—21no—
1696Q8—21no—
1697Q8—21no—
1698Q8—41no—
1699Q8—42no—
1700Q8—42no—
1701Q8—42no—
1702Q8—42no—
1703Q8—81no—
1704Q8—81no—
1705Q8—81no—
1706Q8H(5,𝔽2)×C6712yes—
1707D4—24no—
1708D4—21no—
1709D4—21no—
1710D4—21no—
1711D4—21no—
1712D4—21no—
1713D4—21no—
1714D4—21no—
1715D4—41no—
1716D4—41no—
1717D4—41no—
1718D4—41no—
1719D4—41no—
1720D4—41no—
1721D4—41no—
1722D4—42no—
1723D4—42no—
1724D4—42no—
1725D4—42no—
1726D4—42no—
1727D4—42no—
1728D4—81no—
1729D4—81no—
1730D4—81no—
1731D4—81no—
1732D4—81no—
1733D4—81no—
1734D4—81no—
1735D4—81no—
1736D4—81no—
1737D4—81no—
1738D4—81no—
1739D4H(5,𝔽2)×C6712yes—
1740C2×C4—24no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—41no—
1764C2×C4—41no—
1765C2×C4—41no—
1766C2×C4—42no—
1767C2×C4—42no—
1768C2×C4—42no—
1769C2×C4—42no—
1770C2×C4—42no—
1771C2×C4—42no—
1772C2×C4—42no—
1773C2×C4—42no—
1774C2×C4—42no—
1775C2×C4—81no—
1776C2×C4—81no—
1777C2×C4—81no—
1778C2×C4—81no—
1779C2×C4—81no—
1780C2×C4—81no—
1781C2×C4—81no—
1782C2×C4—81no—
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×C4C22×D4×C6711yescharacteristic
1792C2×C4C25×C6711yescharacteristic
1793C8—21no—
1794C8—21no—
1795C8—21no—
1796C8—21no—
1797C8—21no—
1798C8—21no—
1799C8—21no—
1800C8—21no—
1801C22—21no—
1802C22—21no—
1803C22—21no—
1804C22—21no—
1805C22—21no—
1806C22—21no—
1807C22—21no—
1808C22—21no—
1809C22—21no—
1810C22—21no—
1811C22—21no—
1812C22—22no—
1813C22—21no—
1814C22—21no—
1815C22—21no—
1816C22—21no—
1817C22—41no—
1818C22—41no—
1819C22—41no—
1820C22—41no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—82no—
1829C22—84no—
1830C22—162no—
1831C22C23×D4×C6711yescharacteristic
1832C4—21no—
1833C4—21no—
1834C4—21no—
1835C4—21no—
1836C4—21no—
1837C4—22no—
1838C4—21no—
1839C4—21no—
1840C4—21no—
1841C4—21no—
1842C4—41no—
1843C4—41no—
1844C4—41no—
1845C4—41no—
1846C4—41no—
1847C4—41no—
1848C4—41no—
1849C4—41no—
1850C4—41no—
1851C4—41no—
1852C4—41no—
1853C4C2×H(5,𝔽2)×C6711yescharacteristic
1854C4C2×H(5,𝔽2)×C6711yescharacteristic
1855C2—41no—
1856C2—41no—
1857C2—41no—
1858C2—41no—
1859C2—41no—
1860C2—42no—
1861C2—81no—
1862C2—81no—
1863C2—81no—
1864C2C67×#348411yescharacteristic
1865C2C67×#358411yescharacteristic
1866C2C67×#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×#3540C2semidirect
2. C67×#3489C2semidirect
3. C67×#3329C2semidirect
4. C67×#3328C2semidirect
5. C67×#3321C2semidirect
6. C67×#3319C2semidirect
7. C67×#3313C2semidirect
8. C67×#3311C2semidirect
9. C67×#3303C2semidirect
10. C67×#3302C2semidirect
11. C67×#3285C2semidirect
12. C67×#3282C2semidirect
13. C67×#3275C2semidirect
14. C67×#3273C2semidirect
15. C67×#3270C2semidirect
16. C67×#3269C2semidirect
17. C67×#3267C2semidirect
18. C67×#3266C2semidirect
19. C67×#3225C2semidirect
20. C67×#3225C2semidirect
21. C67×#3201C2semidirect
22. C67×#3198C2semidirect
23. C67×#3196C2semidirect
24. C67×#3190C2semidirect
25. C67×#3125C2semidirect
26. C67×#3124C2semidirect
27. C67×#3011C2semidirect
28. C67×#3010C2semidirect
29. C67×#3005C2semidirect
30. C67×#3002C2semidirect
31. C67×#2976C2semidirect
33. C22×#41×C67C22semidirect
35. C2×#137×C67C22semidirect
37. C2×AGL(1,ℤ/8)×C67C22semidirect
40. C22×Q16×C67C22semidirect
41. C22×SD16×C67C22semidirect
46. #556×C67C22semidirect
48. #555×C67C22semidirect
51. D4×Q8×C67C22semidirect
54. #548×C67C22semidirect
55. #548×C67C22semidirect
59. #547×C67C22semidirect
64. #546×C67C22semidirect
65. #546×C67C22semidirect
68. #542×C67C22semidirect
69. #542×C67C22semidirect
75. #536×C67C22semidirect
76. #536×C67C22semidirect
77. #535×C67C22semidirect
83. C2×C22⋊Q8×C67C22semidirect
84. #520×C67C22semidirect
85. #497×C67C22semidirect
86. #497×C67C22semidirect
87. #495×C67C22semidirect
88. #495×C67C22semidirect
89. #489×C67C22semidirect
90. #489×C67C22semidirect
91. #487×C67C22semidirect
92. #487×C67C22semidirect
93. #485×C67C22semidirect
94. #485×C67C22semidirect
95. #485×C67C22semidirect
96. #485×C67C22semidirect
97. #485×C67C22semidirect
98. #485×C67C22semidirect
99. #484×C67C22semidirect
100. #483×C67C22semidirect
101. #482×C67C22semidirect
102. #482×C67C22semidirect
103. #481×C67C22semidirect
104. #480×C67C22semidirect
105. #477×C67C22semidirect
106. #476×C67C22semidirect
107. #475×C67C22semidirect
108. #474×C67C22semidirect
109. #470×C67C22semidirect
110. #470×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. #464×C67C22semidirect
128. #464×C67C22semidirect
129. #463×C67C22semidirect
130. #463×C67C22semidirect
131. #463×C67C22semidirect
132. #463×C67C22semidirect
133. #462×C67C22semidirect
134. #462×C67C22semidirect
135. #461×C67C22semidirect
136. #461×C67C22semidirect
139. #452×C67C22semidirect
140. #452×C67C22semidirect
141. #452×C67C22semidirect
142. #452×C67C22semidirect
143. #452×C67C22semidirect
144. #452×C67C22semidirect
145. #452×C67C22semidirect
146. #452×C67C22semidirect
147. #452×C67C22semidirect
148. #452×C67C22semidirect
149. #451×C67C22semidirect
150. #451×C67C22semidirect
151. #451×C67C22semidirect
152. #451×C67C22semidirect
153. #451×C67C22semidirect
154. #451×C67C22semidirect
155. #450×C67C22semidirect
156. #450×C67C22semidirect
163. #449×C67C22semidirect
164. #449×C67C22semidirect
166. #448×C67C22semidirect
167. #448×C67C22semidirect
168. #448×C67C22semidirect
169. #448×C67C22semidirect
170. #448×C67C22semidirect
172. #447×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
182. #436×C67C22semidirect
184. #435×C67C22semidirect
185. #435×C67C22semidirect
186. #435×C67C22semidirect
187. C8×D4×C67C22semidirect
188. C8×D4×C67C22semidirect
189. #433×C67C22semidirect
190. #433×C67C22semidirect
191. #419×C67C22semidirect
192. #419×C67C22semidirect
193. #419×C67C22semidirect
194. #418×C67C22semidirect
195. #416×C67C22semidirect
196. #416×C67C22semidirect
197. #416×C67C22semidirect
198. #416×C67C22semidirect
199. #408×C67C22semidirect
200. #408×C67C22semidirect
201. #407×C67C22semidirect
202. C2×C22⋊C8×C67C22semidirect
921. #61627C67direct (N × H)
934. #3540C2×C67semidirect
935. #3489C2×C67semidirect
936. #3329C2×C67semidirect
937. #3328C2×C67semidirect
938. #3321C2×C67semidirect
939. #3319C2×C67semidirect
940. #3313C2×C67semidirect
941. #3311C2×C67semidirect
942. #3303C2×C67semidirect
943. #3302C2×C67semidirect
944. #3285C2×C67semidirect
945. #3282C2×C67semidirect
946. #3275C2×C67semidirect
947. #3273C2×C67semidirect
948. #3270C2×C67semidirect
949. #3269C2×C67semidirect
950. #3267C2×C67semidirect
951. #3266C2×C67semidirect
952. #3225C2×C67semidirect
953. #3225C2×C67semidirect
954. #3201C2×C67semidirect
955. #3198C2×C67semidirect
956. #3196C2×C67semidirect
957. #3190C2×C67semidirect
958. #3125C2×C67semidirect
959. #3124C2×C67semidirect
960. #3011C2×C67semidirect
961. #3010C2×C67semidirect
962. #3005C2×C67semidirect
963. #3002C2×C67semidirect
964. #2976C2×C67semidirect
965. C67#61627direct (N × H)
967. C22×#41C22×C67semidirect
969. C2×#137C22×C67semidirect
971. C2×AGL(1,ℤ/8)C22×C67semidirect
974. C22×Q16C22×C67semidirect
975. C22×SD16C22×C67semidirect
980. #556C22×C67semidirect
982. #555C22×C67semidirect
985. D4×Q8C22×C67semidirect
988. #548C22×C67semidirect
989. #548C22×C67semidirect
993. #547C22×C67semidirect
998. #546C22×C67semidirect
999. #546C22×C67semidirect
1002. #542C22×C67semidirect
1003. #542C22×C67semidirect
1009. #536C22×C67semidirect
1010. #536C22×C67semidirect
1011. #535C22×C67semidirect
1017. C2×C22⋊Q8C22×C67semidirect
1018. #520C22×C67semidirect
1019. #497C22×C67semidirect
1020. #497C22×C67semidirect
1021. #495C22×C67semidirect
1022. #495C22×C67semidirect
1023. #489C22×C67semidirect
1024. #489C22×C67semidirect
1025. #487C22×C67semidirect
1026. #487C22×C67semidirect
1027. #485C22×C67semidirect
1028. #485C22×C67semidirect
1029. #485C22×C67semidirect
1030. #485C22×C67semidirect
1031. #485C22×C67semidirect
1032. #485C22×C67semidirect
1033. #484C22×C67semidirect
1034. #483C22×C67semidirect
1035. #482C22×C67semidirect
1036. #482C22×C67semidirect
1037. #481C22×C67semidirect
1038. #480C22×C67semidirect
1039. #477C22×C67semidirect
1040. #476C22×C67semidirect
1041. #475C22×C67semidirect
1042. #474C22×C67semidirect
1043. #470C22×C67semidirect
1044. #470C22×C67semidirect
1045. #470C22×C67semidirect
1046. #469C22×C67semidirect
1049. #468C22×C67semidirect
1050. #468C22×C67semidirect
1051. #467C22×C67semidirect
1052. #467C22×C67semidirect
1053. #467C22×C67semidirect
1054. #466C22×C67semidirect
1055. #465C22×C67semidirect
1056. #465C22×C67semidirect
1057. #465C22×C67semidirect
1058. #465C22×C67semidirect
1059. #464C22×C67semidirect
1060. #464C22×C67semidirect
1061. #464C22×C67semidirect
1062. #464C22×C67semidirect
1063. #463C22×C67semidirect
1064. #463C22×C67semidirect
1065. #463C22×C67semidirect
1066. #463C22×C67semidirect
1067. #462C22×C67semidirect
1068. #462C22×C67semidirect
1069. #461C22×C67semidirect
1070. #461C22×C67semidirect
1073. #452C22×C67semidirect
1074. #452C22×C67semidirect
1075. #452C22×C67semidirect
1076. #452C22×C67semidirect
1077. #452C22×C67semidirect
1078. #452C22×C67semidirect
1079. #452C22×C67semidirect
1080. #452C22×C67semidirect
1081. #452C22×C67semidirect
1082. #452C22×C67semidirect
1083. #451C22×C67semidirect
1084. #451C22×C67semidirect
1085. #451C22×C67semidirect
1086. #451C22×C67semidirect
1087. #451C22×C67semidirect
1088. #451C22×C67semidirect
1089. #450C22×C67semidirect
1090. #450C22×C67semidirect
1097. #449C22×C67semidirect
1098. #449C22×C67semidirect
1100. #448C22×C67semidirect
1101. #448C22×C67semidirect
1102. #448C22×C67semidirect
1103. #448C22×C67semidirect
1104. #448C22×C67semidirect
1106. #447C22×C67semidirect
1107. #442C22×C67semidirect
1108. #441C22×C67semidirect
1109. #440C22×C67semidirect
1110. #440C22×C67semidirect
1111. C4×Q16C22×C67semidirect
1112. C4×SD16C22×C67semidirect
1113. C4×SD16C22×C67semidirect
1114. C4×D8C22×C67semidirect
1116. #436C22×C67semidirect
1118. #435C22×C67semidirect
1119. #435C22×C67semidirect
1120. #435C22×C67semidirect
1121. C8×D4C22×C67semidirect
1122. C8×D4C22×C67semidirect
1123. #433C22×C67semidirect
1124. #433C22×C67semidirect
1125. #419C22×C67semidirect
1126. #419C22×C67semidirect
1127. #419C22×C67semidirect
1128. #418C22×C67semidirect
1129. #416C22×C67semidirect
1130. #416C22×C67semidirect
1131. #416C22×C67semidirect
1132. #416C22×C67semidirect
1133. #408C22×C67semidirect
1134. #408C22×C67semidirect
1135. #407C22×C67semidirect
1136. C2×C22⋊C8C22×C67semidirect

Maximal subgroups

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

subgroupindex
C67×#35402
C67×#34892
C67×#33292
C67×#33282
C67×#33212
C67×#33192
C67×#33132
C67×#33112
C67×#33032
C67×#33022
C67×#32852
C67×#32822
C67×#32752
C67×#32732
C67×#32702
C67×#32692
C67×#32672
C67×#32662
C67×#32252
C67×#32012
C67×#31982
C67×#31962
C67×#31902
C67×#31252
C67×#31242
C67×#30112
C67×#30102
C67×#30052
C67×#30022
C67×#29762
#6162767