Finite Group Databasebeta

← #11910914

Subgroups — #11910914

Order 1152.

3498 conjugacy classes of subgroups.

The subgroup lattice has 1623 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C32×D42C211yesmaximal, characteristic, complemented
2#10596277C211yesmaximal, characteristic, complemented
3#10596277C211yesmaximal, characteristic, complemented
4#10596277C211yesmaximal, characteristic, complemented
5#10596275C211yesmaximal, characteristic, complemented
6#10596275C211yesmaximal, characteristic, complemented
7C2×#64148C211yesmaximal, characteristic, complemented
8D4×#638C211yesmaximal, characteristic, complemented
9C2×#64144C211yesmaximal, characteristic, complemented
10#10596191C211yesmaximal, characteristic, complemented
11#10596190C211yesmaximal, characteristic, complemented
12#10596092C211yesmaximal, characteristic, complemented
13#10596092C211yesmaximal, characteristic, complemented
14#10596086C211yesmaximal, characteristic, complemented
15#10596084C211yesmaximal, characteristic, complemented
16#10596081C211yesmaximal, characteristic, complemented
17#10596073C211yesmaximal, characteristic, complemented
18#10596072C211yesmaximal, characteristic, complemented
19#10596068C211yesmaximal, characteristic, complemented
20#10596066C211yesmaximal, characteristic, complemented
21#10596064C211yesmaximal, characteristic, complemented
22#10596064C211yesmaximal, characteristic, complemented
23#10596062C211yesmaximal, characteristic, complemented
24#10596062C211yesmaximal, characteristic, complemented
25#10596060C211yesmaximal, characteristic, complemented
26#10596058C211yesmaximal, characteristic, complemented
27#10596057C211yesmaximal, characteristic, complemented
28#10596035C211yesmaximal, characteristic, complemented
29#10596035C211yesmaximal, characteristic, complemented
30#10596027C211yesmaximal, characteristic, complemented
31#10596011C211yesmaximal, characteristic, complemented
32#86613—34nomaximal
33C22×C32×D4C2211yescharacteristic
34C22×C32×D4C2211yescharacteristic, complemented
35C22×C32×D4C2211yescharacteristic, complemented
36C22×C32×D4C2211yescharacteristic, complemented
37C22×#638C2211yescharacteristic, complemented
38C22×#638C2211yescharacteristic, complemented
39C22×#638C2211yescharacteristic, complemented
40C23×C3⋊Dic3C2211yescharacteristic, complemented
41C2×#3830C2211yescharacteristic, complemented
42C2×#3830C2211yescharacteristic, complemented
43C2×#3830C2211yescharacteristic, complemented
44C2×D4×C3⋊D3C2211yescharacteristic, complemented
45C32×#127C2211yescharacteristic, complemented
46C32×#121C2211yescharacteristic
47C32×#121C2211yescharacteristic, complemented
48C32×#121C2211yescharacteristic, complemented
49C32×#121C2211yescharacteristic, complemented
50C32×#120C2211yescharacteristic
51C32×#120C2211yescharacteristic, complemented
52C32×#120C2211yescharacteristic, complemented
53C32×#120C2211yescharacteristic, complemented
54C32×C4×D4C2211yescharacteristic, complemented
55C32×C4×D4C2211yescharacteristic, complemented
56#64162C2211yescharacteristic, complemented
57#64162C2211yescharacteristic, complemented
58#64162C2211yescharacteristic, complemented
59#64162C2211yescharacteristic, complemented
60#64162C2211yescharacteristic, complemented
61#64162C2211yescharacteristic, complemented
62C2×#3757C2211yescharacteristic, complemented
63C2×#3757C2211yescharacteristic, complemented
64C2×#3757C2211yescharacteristic, complemented
65C2×#3757C2211yescharacteristic, complemented
66C2×#3757C2211yescharacteristic, complemented
67C2×#3757C2211yescharacteristic, complemented
68#64149C2211yescharacteristic, complemented
69#64148C2211yescharacteristic
70#64148C2211yescharacteristic
71#64148C2211yescharacteristic, complemented
72#64148C2211yescharacteristic, complemented
73#64148C2211yescharacteristic, complemented
74#64148C2211yescharacteristic, complemented
75#64148C2211yescharacteristic, complemented
76#64148C2211yescharacteristic, complemented
77#64148C2211yescharacteristic, complemented
78#64148C2211yescharacteristic, complemented
79#64148C2211yescharacteristic, complemented
80#64148C2211yescharacteristic, complemented
81#64148C2211yescharacteristic, complemented
82#64148C2211yescharacteristic, complemented
83#64148C2211yescharacteristic, complemented
84#64148C2211yescharacteristic, complemented
85#64148C2211yescharacteristic, complemented
86#64148C2211yescharacteristic, complemented
87#64148C2211yescharacteristic, complemented
88#64148C2211yescharacteristic, complemented
89#64148C2211yescharacteristic, complemented
90#64148C2211yescharacteristic, complemented
91#64147C2211yescharacteristic, complemented
92#64147C2211yescharacteristic, complemented
93#64147C2211yescharacteristic, complemented
94#64147C2211yescharacteristic, complemented
95#64147C2211yescharacteristic, complemented
96#64147C2211yescharacteristic, complemented
97#64146C2211yescharacteristic
98#64146C2211yescharacteristic, complemented
99#64146C2211yescharacteristic, complemented
100#64146C2211yescharacteristic, complemented
101#64146C2211yescharacteristic, complemented
102#64146C2211yescharacteristic, complemented
103#64145C2211yescharacteristic, complemented
104#64145C2211yescharacteristic, complemented
105#64145C2211yescharacteristic, complemented
106#64144C2211yescharacteristic, complemented
107#64144C2211yescharacteristic, complemented
108#64144C2211yescharacteristic, complemented
109#64144C2211yescharacteristic, complemented
110#64144C2211yescharacteristic, complemented
111#64144C2211yescharacteristic, complemented
112#64144C2211yescharacteristic, complemented
113#64144C2211yescharacteristic, complemented
114#64144C2211yescharacteristic, complemented
115#64144C2211yescharacteristic, complemented
116#64144C2211yescharacteristic, complemented
117#64144C2211yescharacteristic, complemented
118#64144C2211yescharacteristic, complemented
119#64144C2211yescharacteristic, complemented
120#64144C2211yescharacteristic, complemented
121#64144C2211yescharacteristic, complemented
122D4×C3⋊Dic3C2211yescharacteristic, complemented
123D4×C3⋊Dic3C2211yescharacteristic, complemented
124D4×C3⋊Dic3C2211yescharacteristic, complemented
125D4×C3⋊Dic3C2211yescharacteristic, complemented
126D4×C3⋊Dic3C2211yescharacteristic, complemented
127D4×C3⋊Dic3C2211yescharacteristic, complemented
128#64139C2211yescharacteristic, complemented
129#64138C2211yescharacteristic, complemented
130#64138C2211yescharacteristic, complemented
131#64138C2211yescharacteristic, complemented
132#64138C2211yescharacteristic, complemented
133C4×#638C2211yescharacteristic, complemented
134C4×#638C2211yescharacteristic, complemented
135C4×#638C2211yescharacteristic, complemented
136C4×#638C2211yescharacteristic, complemented
137C2×#3752C2211yescharacteristic, complemented
138#64133C2211yescharacteristic, complemented
139#64133C2211yescharacteristic, complemented
140#64133C2211yescharacteristic, complemented
141C2×#3750C2211yescharacteristic, complemented
142C2×#3750C2211yescharacteristic, complemented
143C2×#3750C2211yescharacteristic, complemented
144#64107C2211yescharacteristic, complemented
145#64105C2211yescharacteristic, complemented
146#64105C2211yescharacteristic, complemented
147#64105C2211yescharacteristic, complemented
148#64103C2211yescharacteristic, complemented
149#64098C2211yescharacteristic, complemented
150#64098C2211yescharacteristic, complemented
151#64098C2211yescharacteristic, complemented
152#64095C2211yescharacteristic, complemented
153#64095C2211yescharacteristic, complemented
154#64094C2211yescharacteristic, complemented
155#64094C2211yescharacteristic, complemented
156#64094C2211yescharacteristic, complemented
157#64093C2211yescharacteristic, complemented
158#64093C2211yescharacteristic, complemented
159#64093C2211yescharacteristic, complemented
160#64092C2211yescharacteristic, complemented
161#64092C2211yescharacteristic, complemented
162#64092C2211yescharacteristic, complemented
163#64092C2211yescharacteristic, complemented
164#64092C2211yescharacteristic, complemented
165#64090C2211yescharacteristic, complemented
166#64090C2211yescharacteristic, complemented
167#64090C2211yescharacteristic, complemented
168#64090C2211yescharacteristic, complemented
169C22⋊C4×C3⋊D3C2211yescharacteristic, complemented
170C22⋊C4×C3⋊D3C2211yescharacteristic, complemented
171#64088C2211yescharacteristic, complemented
172#64088C2211yescharacteristic, complemented
173#64088C2211yescharacteristic, complemented
174#64088C2211yescharacteristic, complemented
175#64088C2211yescharacteristic, complemented
176#64087C2211yescharacteristic, complemented
177#64087C2211yescharacteristic, complemented
178#64087C2211yescharacteristic, complemented
179#64087C2211yescharacteristic, complemented
180#64087C2211yescharacteristic, complemented
181#64087C2211yescharacteristic, complemented
182#64086C2211yescharacteristic, complemented
183#64086C2211yescharacteristic, complemented
184#64085C2211yescharacteristic, complemented
185#64085C2211yescharacteristic, complemented
186#64081C2211yescharacteristic, complemented
187#64079C2211yescharacteristic, complemented
188C3×D42D314yescomplemented
189#5806—34no—
190#5806—34no—
191#5806—34no—
192#5804—34no—
193#5804—34no—
194C2×#939—34no—
195D4×#67—34no—
196C2×#935—34no—
197#5720—34no—
198#5719—34no—
199#5621—34no—
200#5621—34no—
201#5615—34no—
202#5613—34no—
203#5610—34no—
204#5602—34no—
205#5601—34no—
206#5597—34no—
207#5595—34no—
208#5593—34no—
209#5593—34no—
210#5591—34no—
211#5591—34no—
212#5589—34no—
213#5587—34no—
214#5586—34no—
215#5564—34no—
216#5564—34no—
217#5556—34no—
218#5540—34no—
219C24×C32C2311yescharacteristic
220C24×C32C2311yescharacteristic
221C24×C32C2311yescharacteristic
222C24×C32C2311yescharacteristic
223C23×C3⋊D3C2311yescharacteristic
224C23×C3⋊D3C2311yescharacteristic
225C2×C32×D4—42no—
226C2×C32×D4—42no—
227C2×C32×D4—42no—
228C2×C32×D4—42no—
229C2×C32×D4C2311yescharacteristic
230C2×C32×D4C2311yescharacteristic
231C2×C32×D4C2311yescharacteristic
232C2×C32×D4C2311yescharacteristic
233C2×C32×D4C2311yescharacteristic
234C2×C32×D4C2311yescharacteristic
235C2×C32×D4C2311yescharacteristic
236C2×C32×D4C2311yescharacteristic
237C2×C32×D4C2311yescharacteristic
238C2×C32×D4C2311yescharacteristic
239C2×C32×D4C2311yescharacteristic
240C2×C32×D4C2311yescharacteristic
241C2×C32×D4C2311yescharacteristic
242C2×C32×D4C2311yescharacteristic
243C2×C32×D4C2311yescharacteristic
244C2×C32×D4C2311yescharacteristic
245C22×C32×C4C2311yescharacteristic
246C22×C32×C4C2311yescharacteristic
247C22×C32×C4C2311yescharacteristic
248C22×C32×C4C2311yescharacteristic
249C2×#638—42no—
250C2×#638—42no—
251C2×#638—42no—
252C2×#638C2311yescharacteristic
253C2×#638C2311yescharacteristic
254C2×#638C2311yescharacteristic
255C2×#638C2311yescharacteristic
256C2×#638C2311yescharacteristic
257C2×#638C2311yescharacteristic
258C2×#638C2311yescharacteristic
259C2×#638C2311yescharacteristic
260C2×#638C2311yescharacteristic
261C2×#638C2311yescharacteristic
262C2×#638C2311yescharacteristic
263C2×#638C2311yescharacteristic
264C2×#638C2311yescharacteristic
265C2×#638C2311yescharacteristic
266C2×#638C2311yescharacteristic
267C2×#638C2311yescharacteristic
268C2×#638C2311yescharacteristic
269C2×#638C2311yescharacteristic
270C2×#638C2311yescharacteristic
271C2×#638C2311yescharacteristic
272C22×C3⋊Dic3—42no—
273C22×C3⋊Dic3C2311yescharacteristic
274C22×C3⋊Dic3C2311yescharacteristic
275C22×C3⋊Dic3C2311yescharacteristic
276C22×C3⋊Dic3C2311yescharacteristic
277C22×C3⋊Dic3C2311yescharacteristic
278C22×C3⋊Dic3C2311yescharacteristic
279C22×C3⋊Dic3C2311yescharacteristic
280C22×C3⋊Dic3C2311yescharacteristic
281C22×C3⋊Dic3C2311yescharacteristic
282C22×C3⋊Dic3C2311yescharacteristic
283C22×C3⋊Dic3C2311yescharacteristic
284C22×C3⋊Dic3C2311yescharacteristic
285C22×C3⋊Dic3C2311yescharacteristic
286C22×C3⋊Dic3C2311yescharacteristic
287#3830—42no—
288#3830—42no—
289#3830—42no—
290D4×C3⋊D3—42no—
291C2×C4⋊(C3⋊D3)C2311yescharacteristic
292C2×C4×C3⋊D3C2311yescharacteristic
293C2×C4×C3⋊D3C2311yescharacteristic
294C2×C4×C3⋊D3C2311yescharacteristic
295C2×C4×C3⋊D3C2311yescharacteristic
296C2×C4×C3⋊D3C2311yescharacteristic
297C2×#634C2311yescharacteristic
298C2×#634C2311yescharacteristic
299C2×#634C2311yescharacteristic
300C32×C4⋊C4C2311yescharacteristic
301C32×C4⋊C4C2311yescharacteristic
302C32×C22⋊C4C2311yescharacteristic
303C32×C22⋊C4C2311yescharacteristic
304C32×C22⋊C4C2311yescharacteristic
305C32×C22⋊C4C2311yescharacteristic
306C32×C22⋊C4C2311yescharacteristic
307C32×C22⋊C4C2311yescharacteristic
308C32×C22⋊C4C2311yescharacteristic
309C32×C22⋊C4C2311yescharacteristic
310C32×C42C2311yescharacteristic
311#3757C2311yescharacteristic
312#3757C2311yescharacteristic
313#3757C2311yescharacteristic
314#3757C2311yescharacteristic
315#3757C2311yescharacteristic
316#3757C2311yescharacteristic
317#3757C2311yescharacteristic
318#3757C2311yescharacteristic
319#3757C2311yescharacteristic
320#3757C2311yescharacteristic
321#3757C2311yescharacteristic
322#3757C2311yescharacteristic
323#3757C2311yescharacteristic
324#3757C2311yescharacteristic
325#3757C2311yescharacteristic
326#3757C2311yescharacteristic
327#3757C2311yescharacteristic
328#3757C2311yescharacteristic
329#3757C2311yescharacteristic
330#3757C2311yescharacteristic
331#3757C2311yescharacteristic
332#3757C2311yescharacteristic
333#3757C2311yescharacteristic
334#3757C2311yescharacteristic
335#3757C2311yescharacteristic
336#3757C2311yescharacteristic
337#3757C2311yescharacteristic
338#3757C2311yescharacteristic
339#3752C2311yescharacteristic
340#3752C2311yescharacteristic
341#3752C2311yescharacteristic
342#3752C2311yescharacteristic
343#3752C2311yescharacteristic
344#3752C2311yescharacteristic
345#3752C2311yescharacteristic
346#3752C2311yescharacteristic
347#3752C2311yescharacteristic
348#3752C2311yescharacteristic
349#3752C2311yescharacteristic
350#3752C2311yescharacteristic
351#3752C2311yescharacteristic
352#3752C2311yescharacteristic
353C4⋊(C3⋊Dic3)C2311yescharacteristic
354C4⋊(C3⋊Dic3)C2311yescharacteristic
355C4⋊(C3⋊Dic3)C2311yescharacteristic
356C4⋊(C3⋊Dic3)C2311yescharacteristic
357C4⋊(C3⋊Dic3)C2311yescharacteristic
358C4⋊(C3⋊Dic3)C2311yescharacteristic
359#3750C2311yescharacteristic
360#3750C2311yescharacteristic
361#3750C2311yescharacteristic
362#3750C2311yescharacteristic
363#3750C2311yescharacteristic
364#3750C2311yescharacteristic
365#3750C2311yescharacteristic
366#3750C2311yescharacteristic
367#3750C2311yescharacteristic
368#3750C2311yescharacteristic
369#3750C2311yescharacteristic
370#3750C2311yescharacteristic
371#3750C2311yescharacteristic
372#3750C2311yescharacteristic
373#3750C2311yescharacteristic
374#3750C2311yescharacteristic
375#3750C2311yescharacteristic
376#3750C2311yescharacteristic
377#3750C2311yescharacteristic
378#3750C2311yescharacteristic
379#3750C2311yescharacteristic
380#3750C2311yescharacteristic
381C4×C3⋊Dic3C2311yescharacteristic
382C4×C3⋊Dic3C2311yescharacteristic
383C4×C3⋊Dic3C2311yescharacteristic
384C4×C3⋊Dic3C2311yescharacteristic
385C4×C3⋊Dic3C2311yescharacteristic
386#3534—91noSylow
387C22×C3×D4C2×D314yes—
388C22×C3×D4C2×D314yescomplemented
389C22×C3×D4C2×D314yescomplemented
390C22×C3×D4C2×D314yescomplemented
391C22×#67—34no—
392C22×#67—34no—
393C22×#67—34no—
394C23×Dic3—34no—
395C2×#237—34no—
396C2×#237—34no—
397C2×#237—34no—
398C2×D3×D4—34no—
399C3×#127C2×D314yescomplemented
400C3×#121C2×D314yes—
401C3×#121C2×D314yescomplemented
402C3×#121C2×D314yescomplemented
403C3×#121C2×D314yescomplemented
404C3×#120C2×D314yes—
405C3×#120C2×D314yescomplemented
406C3×#120C2×D314yescomplemented
407C3×#120C2×D314yescomplemented
408C3×C4×D4C2×D314yescomplemented
409C3×C4×D4C2×D314yescomplemented
410#953—34no—
411#953—34no—
412#953—34no—
413#953—34no—
414#953—34no—
415#953—34no—
416C2×#217—34no—
417C2×#217—34no—
418C2×#217—34no—
419C2×#217—34no—
420C2×#217—34no—
421C2×#217—34no—
422#940—34no—
423#939—34no—
424#939—34no—
425#939—34no—
426#939—34no—
427#939—34no—
428#939—34no—
429#939—34no—
430#939—34no—
431#939—34no—
432#939—34no—
433#939—34no—
434#939—34no—
435#939—34no—
436#939—34no—
437#939—34no—
438#939—34no—
439#939—34no—
440#939—34no—
441#939—34no—
442#939—34no—
443#939—34no—
444#939—34no—
445#938—34no—
446#938—34no—
447#938—34no—
448#938—34no—
449#938—34no—
450#938—34no—
451#937—34no—
452#937—34no—
453#937—34no—
454#937—34no—
455#937—34no—
456#937—34no—
457#936—34no—
458#936—34no—
459#936—34no—
460#935—34no—
461#935—34no—
462#935—34no—
463#935—34no—
464#935—34no—
465#935—34no—
466#935—34no—
467#935—34no—
468#935—34no—
469#935—34no—
470#935—34no—
471#935—34no—
472#935—34no—
473#935—34no—
474#935—34no—
475#935—34no—
476D4×Dic3—34no—
477D4×Dic3—34no—
478D4×Dic3—34no—
479D4×Dic3—34no—
480D4×Dic3—34no—
481D4×Dic3—34no—
482#930—34no—
483#929—34no—
484#929—34no—
485#929—34no—
486#929—34no—
487C4×#67—34no—
488C4×#67—34no—
489C4×#67—34no—
490C4×#67—34no—
491C2×(C2×D3)⋊C4—34no—
492#924—34no—
493#924—34no—
494#924—34no—
495C2×Dic3⋊C4—34no—
496C2×Dic3⋊C4—34no—
497C2×Dic3⋊C4—34no—
498#898—34no—
499#896—34no—
500#896—34no—
501#896—34no—
502#894—34no—
503#889—34no—
504#889—34no—
505#889—34no—
506#886—34no—
507#886—34no—
508#885—34no—
509#885—34no—
510#885—34no—
511#884—34no—
512#884—34no—
513#884—34no—
514#883—34no—
515#883—34no—
516#883—34no—
517#883—34no—
518#883—34no—
519#67⋊C4—34no—
520#67⋊C4—34no—
521#67⋊C4—34no—
522#67⋊C4—34no—
523D3×C22⋊C4—34no—
524D3×C22⋊C4—34no—
525#879—34no—
526#879—34no—
527#879—34no—
528#879—34no—
529#879—34no—
530#878—34no—
531#878—34no—
532#878—34no—
533#878—34no—
534#878—34no—
535#878—34no—
536#877—34no—
537#877—34no—
538#876—34no—
539#876—34no—
540#872—34no—
541#870—34no—
542C23×C32—22no—
543C23×C32—22no—
544C23×C32—22no—
545C23×C32—22no—
546C23×C32—41no—
547C23×C32—41no—
548C23×C32—41no—
549C23×C32—41no—
550C23×C32—41no—
551C23×C32—41no—
552C23×C32—41no—
553C23×C32—41no—
554C23×C32C2411yescharacteristic
555C23×C32C2411yescharacteristic
556C23×C32C2411yescharacteristic
557C23×C32C2411yescharacteristic
558C23×C32C2411yescharacteristic
559C23×C32C2411yescharacteristic
560C23×C32C2411yescharacteristic
561C23×C32C2411yescharacteristic
562C22×C3⋊D3—22no—
563C22×C3⋊D3—41no—
564C22×C3⋊D3—41no—
565C22×C3⋊D3—41no—
566C22×C3⋊D3—41no—
567C22×C3⋊D3—41no—
568C22×C3⋊D3C2411yescharacteristic
569C22×C3⋊D3C2411yescharacteristic
570C22×C3⋊D3C2411yescharacteristic
571C32×D4—22no—
572C32×D4—22no—
573C32×D4—22no—
574C32×D4—22no—
575C32×D4—22no—
576C32×D4—22no—
577C32×D4—41no—
578C32×D4—41no—
579C32×D4—41no—
580C32×D4—41no—
581C32×D4—41no—
582C32×D4—41no—
583C32×D4—41no—
584C32×D4—41no—
585C32×D4—41no—
586C32×D4—41no—
587C2×C32×C4—41no—
588C2×C32×C4—41no—
589C2×C32×C4—41no—
590C2×C32×C4—41no—
591C2×C32×C4C2411yescharacteristic
592C2×C32×C4C2411yescharacteristic
593C2×C32×C4C2411yescharacteristic
594C2×C32×C4C2411yescharacteristic
595C2×C32×C4C2411yescharacteristic
596C2×C32×C4C2411yescharacteristic
597C2×C32×C4C2411yescharacteristic
598#638—22no—
599#638—22no—
600#638—22no—
601#638—22no—
602#638—41no—
603#638—41no—
604#638—41no—
605#638—41no—
606#638—41no—
607#638—41no—
608#638—41no—
609#638—41no—
610#638—41no—
611#638—41no—
612#638—41no—
613#638—41no—
614#638—41no—
615#638—41no—
616#638—41no—
617#638—41no—
618C2×C3⋊Dic3—22no—
619C2×C3⋊Dic3—22no—
620C2×C3⋊Dic3—22no—
621C2×C3⋊Dic3—41no—
622C2×C3⋊Dic3—41no—
623C2×C3⋊Dic3—41no—
624C2×C3⋊Dic3—41no—
625C2×C3⋊Dic3—41no—
626C2×C3⋊Dic3—41no—
627C2×C3⋊Dic3—41no—
628C2×C3⋊Dic3—41no—
629C2×C3⋊Dic3—41no—
630C2×C3⋊Dic3—41no—
631C2×C3⋊Dic3—41no—
632C2×C3⋊Dic3C2411yescharacteristic
633C2×C3⋊Dic3C2411yescharacteristic
634C2×C3⋊Dic3C2411yescharacteristic
635C2×C3⋊Dic3C2411yescharacteristic
636C2×C3⋊Dic3C2411yescharacteristic
637C2×C3⋊Dic3C2411yescharacteristic
638C2×C3⋊Dic3C2411yescharacteristic
639C2×C3⋊Dic3C2411yescharacteristic
640C2×C3⋊Dic3C2411yescharacteristic
641C2×C3⋊Dic3C2411yescharacteristic
642C2×C3⋊Dic3C2411yescharacteristic
643C2×C3⋊Dic3C2411yescharacteristic
644C2×C3⋊Dic3C2411yescharacteristic
645C4⋊(C3⋊D3)—41no—
646C4×C3⋊D3—41no—
647C4×C3⋊D3—41no—
648C4×C3⋊D3—41no—
649C4×C3⋊D3—41no—
650C4×C3⋊D3—41no—
651#634—41no—
652#634—41no—
653#634—41no—
654#562—91no—
655#562—91no—
656#560—91no—
657#560—91no—
658#553—91no—
659#553—91no—
660#551—91no—
661#551—91no—
662#546—91no—
663#546—91no—
664#546—91no—
665#546—91no—
666#546—91no—
667#546—91no—
668D42—91no—
669D42C3⋊D311yescharacteristic, complemented
670#540—91no—
671#540—91no—
672#539—91no—
673#539—91no—
674#539—91no—
675#538—91no—
676#538—91no—
677#538—91no—
678#537—91no—
679#534—91no—
680#534—91no—
681#534—91no—
682#525—91no—
683C2×#123—91no—
684C2×#121—91no—
685C24×C3C22×D314yes—
686C24×C3C22×D314yes—
687C24×C3C22×D314yes—
688C24×C3C22×D314yes—
689C23×D3—34no—
690C23×D3—34no—
691C2×C3×D4—48no—
692C2×C3×D4—48no—
693C2×C3×D4—48no—
694C2×C3×D4—48no—
695C2×C3×D4C22×D314yes—
696C2×C3×D4C22×D314yes—
697C2×C3×D4C22×D314yes—
698C2×C3×D4C22×D314yes—
699C2×C3×D4C22×D314yes—
700C2×C3×D4C22×D314yes—
701C2×C3×D4C22×D314yes—
702C2×C3×D4C22×D314yes—
703C2×C3×D4C22×D314yes—
704C2×C3×D4C22×D314yes—
705C2×C3×D4C22×D314yes—
706C2×C3×D4C22×D314yes—
707C2×C3×D4C22×D314yes—
708C2×C3×D4C22×D314yes—
709C2×C3×D4C22×D314yes—
710C2×C3×D4C22×D314yes—
711C22×C3×C4C22×D314yes—
712C22×C3×C4C22×D314yes—
713C22×C3×C4C22×D314yes—
714C22×C3×C4C22×D314yes—
715C2×#67—34no—
716C2×#67—34no—
717C2×#67—34no—
718C2×#67—34no—
719C2×#67—34no—
720C2×#67—34no—
721C2×#67—34no—
722C2×#67—34no—
723C2×#67—34no—
724C2×#67—34no—
725C2×#67—34no—
726C2×#67—34no—
727C2×#67—34no—
728C2×#67—34no—
729C2×#67—34no—
730C2×#67—34no—
731C2×#67—34no—
732C2×#67—34no—
733C2×#67—34no—
734C2×#67—34no—
735C2×#67—128no—
736C2×#67—128no—
737C2×#67—128no—
738C22×Dic3—34no—
739C22×Dic3—34no—
740C22×Dic3—34no—
741C22×Dic3—34no—
742C22×Dic3—34no—
743C22×Dic3—34no—
744C22×Dic3—34no—
745C22×Dic3—34no—
746C22×Dic3—34no—
747C22×Dic3—34no—
748C22×Dic3—34no—
749C22×Dic3—34no—
750C22×Dic3—34no—
751C22×Dic3—34no—
752C22×Dic3—128no—
753#237—128no—
754#237—128no—
755#237—128no—
756D3×D4—128no—
757C2×D12—34no—
758C2×C4×D3—34no—
759C2×C4×D3—34no—
760C2×C4×D3—34no—
761C2×C4×D3—34no—
762C2×C4×D3—34no—
763C2×Dic6—34no—
764C2×Dic6—34no—
765C2×Dic6—34no—
766C3×C4⋊C4C22×D314yes—
767C3×C4⋊C4C22×D314yes—
768C3×C22⋊C4C22×D314yes—
769C3×C22⋊C4C22×D314yes—
770C3×C22⋊C4C22×D314yes—
771C3×C22⋊C4C22×D314yes—
772C3×C22⋊C4C22×D314yes—
773C3×C22⋊C4C22×D314yes—
774C3×C22⋊C4C22×D314yes—
775C3×C22⋊C4C22×D314yes—
776C3×C42C22×D314yes—
777#217—34no—
778#217—34no—
779#217—34no—
780#217—34no—
781#217—34no—
782#217—34no—
783#217—34no—
784#217—34no—
785#217—34no—
786#217—34no—
787#217—34no—
788#217—34no—
789#217—34no—
790#217—34no—
791#217—34no—
792#217—34no—
793#217—34no—
794#217—34no—
795#217—34no—
796#217—34no—
797#217—34no—
798#217—34no—
799#217—34no—
800#217—34no—
801#217—34no—
802#217—34no—
803#217—34no—
804#217—34no—
805(C2×D3)⋊C4—34no—
806(C2×D3)⋊C4—34no—
807(C2×D3)⋊C4—34no—
808(C2×D3)⋊C4—34no—
809(C2×D3)⋊C4—34no—
810(C2×D3)⋊C4—34no—
811(C2×D3)⋊C4—34no—
812(C2×D3)⋊C4—34no—
813(C2×D3)⋊C4—34no—
814(C2×D3)⋊C4—34no—
815(C2×D3)⋊C4—34no—
816(C2×D3)⋊C4—34no—
817(C2×D3)⋊C4—34no—
818(C2×D3)⋊C4—34no—
819C4⋊Dic3—34no—
820C4⋊Dic3—34no—
821C4⋊Dic3—34no—
822C4⋊Dic3—34no—
823C4⋊Dic3—34no—
824C4⋊Dic3—34no—
825Dic3⋊C4—34no—
826Dic3⋊C4—34no—
827Dic3⋊C4—34no—
828Dic3⋊C4—34no—
829Dic3⋊C4—34no—
830Dic3⋊C4—34no—
831Dic3⋊C4—34no—
832Dic3⋊C4—34no—
833Dic3⋊C4—34no—
834Dic3⋊C4—34no—
835Dic3⋊C4—34no—
836Dic3⋊C4—34no—
837Dic3⋊C4—34no—
838Dic3⋊C4—34no—
839Dic3⋊C4—34no—
840Dic3⋊C4—34no—
841Dic3⋊C4—34no—
842Dic3⋊C4—34no—
843Dic3⋊C4—34no—
844Dic3⋊C4—34no—
845Dic3⋊C4—34no—
846Dic3⋊C4—34no—
847C4×Dic3—34no—
848C4×Dic3—34no—
849C4×Dic3—34no—
850C4×Dic3—34no—
851C4×Dic3—34no—
852C22×C32—21no—
853C22×C32—21no—
854C22×C32—21no—
855C22×C32—21no—
856C22×C32—21no—
857C22×C32—21no—
858C22×C32—21no—
859C22×C32—21no—
860C22×C32—21no—
861C22×C32—21no—
862C22×C32—21no—
863C22×C32—21no—
864C22×C32—21no—
865C22×C32—21no—
866C22×C32—21no—
867C22×C32—21no—
868C22×C32—21no—
869C22×C32—21no—
870C22×C32—21no—
871C22×C32—21no—
872C22×C32—21no—
873C22×C32—21no—
874C22×C32—44no—
875C22×C32—82no—
876C22×C32—82no—
877C22×C32—82no—
878C22×C32H(5,𝔽2)12yes—
879C22×C32H(5,𝔽2)12yes—
880C22×C32C2511yescharacteristic
881C2×C3⋊D3—21no—
882C2×C3⋊D3—21no—
883C2×C3⋊D3—21no—
884C2×C3⋊D3—21no—
885C2×C3⋊D3—21no—
886C2×C3⋊D3—21no—
887C2×C3⋊D3—21no—
888C2×C3⋊D3—21no—
889C2×C3⋊D3—21no—
890C2×C3⋊D3—82no—
891C2×C3⋊D3—82no—
892C32×C4—21no—
893C32×C4—21no—
894C32×C4—21no—
895C32×C4—21no—
896C32×C4—21no—
897C32×C4—21no—
898C32×C4—21no—
899C3⋊Dic3—21no—
900C3⋊Dic3—21no—
901C3⋊Dic3—21no—
902C3⋊Dic3—21no—
903C3⋊Dic3—21no—
904C3⋊Dic3—21no—
905C3⋊Dic3—21no—
906C3⋊Dic3—21no—
907C3⋊Dic3—21no—
908C3⋊Dic3—21no—
909C3⋊Dic3—21no—
910C3⋊Dic3—21no—
911C3⋊Dic3—21no—
912C2×#41—91no—
913C2×#41—91no—
914C2×#41—91no—
915C22×D4—91no—
916C22×D4—91no—
917C22×D4—91no—
918C22×D4—91no—
919C22×D4C2×C3⋊D311yescharacteristic
920C22×D4C2×C3⋊D311yescharacteristic, complemented
921C22×D4C2×C3⋊D311yescharacteristic, complemented
922C22×D4C2×C3⋊D311yescharacteristic, complemented
923C23×C4—91no—
924#127—91no—
925#127C2×C3⋊D311yescharacteristic, complemented
926#126—91no—
927#126—91no—
928#126—91no—
929#126—91no—
930#126—91no—
931#126—91no—
932#126—91no—
933#126—91no—
934#125—91no—
935#125—91no—
936#125—91no—
937#125—91no—
938#124—91no—
939#124—91no—
940#124—91no—
941#124—91no—
942#124—91no—
943#124—91no—
944#123—91no—
945#123—91no—
946#123—91no—
947#123—91no—
948#123—91no—
949#123—91no—
950#123—91no—
951#123—91no—
952#123—91no—
953#123—91no—
954#123—91no—
955#123—91no—
956#123—91no—
957#123—91no—
958#123—91no—
959#123—91no—
960#123—91no—
961#123—91no—
962#123—91no—
963#123—91no—
964#123—91no—
965#123—91no—
966#123—91no—
967#123—91no—
968#123—91no—
969#123—91no—
970#123—91no—
971#123—91no—
972C22⋊Q8—91no—
973C22⋊Q8—91no—
974C22⋊Q8—91no—
975C22⋊Q8—91no—
976C22⋊Q8—91no—
977C22⋊Q8—91no—
978C22⋊Q8—91no—
979C22⋊Q8—91no—
980C22⋊Q8—91no—
981C22⋊Q8—91no—
982C22⋊Q8—91no—
983C22⋊Q8—91no—
984#121—91no—
985#121—91no—
986#121—91no—
987#121—91no—
988#121—91no—
989#121—91no—
990#121—91no—
991#121—91no—
992#121—91no—
993#121—91no—
994#121—91no—
995#121—91no—
996#121—91no—
997#121—91no—
998#121—91no—
999#121—91no—
1000#121—91no—
1001#121—91no—
1002#121—91no—
1003#121—91no—
1004#121—91no—
1005#121—91no—
1006#121—91no—
1007#121—91no—
1008#121—91no—
1009#121—91no—
1010#121—91no—
1011#121—91no—
1012#121—91no—
1013#121—91no—
1014#121—91no—
1015#121—91no—
1016#121C2×C3⋊D311yescharacteristic
1017#121C2×C3⋊D311yescharacteristic, complemented
1018#121C2×C3⋊D311yescharacteristic, complemented
1019#121C2×C3⋊D311yescharacteristic, complemented
1020#120—91no—
1021#120—91no—
1022#120—91no—
1023#120—91no—
1024#120—91no—
1025#120—91no—
1026#120—91no—
1027#120—91no—
1028#120—91no—
1029#120—91no—
1030#120—91no—
1031#120—91no—
1032#120C2×C3⋊D311yescharacteristic
1033#120C2×C3⋊D311yescharacteristic, complemented
1034#120C2×C3⋊D311yescharacteristic, complemented
1035#120C2×C3⋊D311yescharacteristic, complemented
1036C4×D4—91no—
1037C4×D4—91no—
1038C4×D4—91no—
1039C4×D4—91no—
1040C4×D4—91no—
1041C4×D4—91no—
1042C4×D4—91no—
1043C4×D4—91no—
1044C4×D4—91no—
1045C4×D4—91no—
1046C4×D4—91no—
1047C4×D4—91no—
1048C4×D4—91no—
1049C4×D4—91no—
1050C4×D4C2×C3⋊D311yescharacteristic, complemented
1051C4×D4C2×C3⋊D311yescharacteristic, complemented
1052#117—91no—
1053#117—91no—
1054#117—91no—
1055C2×C4⋊C4—91no—
1056C2×C4⋊C4—91no—
1057C2×C4⋊C4—91no—
1058C2×C22⋊C4—91no—
1059C2×C22⋊C4—91no—
1060C2×C22⋊C4—91no—
1061C2×C22⋊C4—91no—
1062C2×C22⋊C4—91no—
1063C2×C22⋊C4—91no—
1064C2×C22⋊C4—91no—
1065C2×C22⋊C4—91no—
1066C2×C22⋊C4—91no—
1067C23×C3—28no—
1068C23×C3—28no—
1069C23×C3—28no—
1070C23×C3—28no—
1071C23×C3—44no—
1072C23×C3—44no—
1073C23×C3—44no—
1074C23×C3—44no—
1075C23×C3—44no—
1076C23×C3—44no—
1077C23×C3—44no—
1078C23×C3—44no—
1079C23×C3C23×D314yes—
1080C23×C3C23×D314yes—
1081C23×C3C23×D314yes—
1082C23×C3C23×D314yes—
1083C23×C3C23×D314yes—
1084C23×C3C23×D314yes—
1085C23×C3C23×D314yes—
1086C23×C3C23×D314yes—
1087C22×D3—34no—
1088C22×D3—34no—
1089C22×D3—34no—
1090C22×D3—68no—
1091C22×D3—124no—
1092C22×D3—124no—
1093C22×D3—124no—
1094C22×D3—124no—
1095C22×D3—124no—
1096C3×D4—28no—
1097C3×D4—28no—
1098C3×D4—28no—
1099C3×D4—28no—
1100C3×D4—28no—
1101C3×D4—28no—
1102C3×D4—44no—
1103C3×D4—44no—
1104C3×D4—44no—
1105C3×D4—44no—
1106C3×D4—44no—
1107C3×D4—44no—
1108C3×D4—44no—
1109C3×D4—44no—
1110C3×D4—44no—
1111C3×D4—44no—
1112C2×C3×C4—44no—
1113C2×C3×C4—44no—
1114C2×C3×C4—44no—
1115C2×C3×C4—44no—
1116C2×C3×C4C23×D314yes—
1117C2×C3×C4C23×D314yes—
1118C2×C3×C4C23×D314yes—
1119C2×C3×C4C23×D314yes—
1120C2×C3×C4C23×D314yes—
1121C2×C3×C4C23×D314yes—
1122C2×C3×C4C23×D314yes—
1123#67—68no—
1124#67—68no—
1125#67—68no—
1126#67—68no—
1127#67—124no—
1128#67—124no—
1129#67—124no—
1130#67—124no—
1131#67—124no—
1132#67—124no—
1133#67—124no—
1134#67—124no—
1135#67—124no—
1136#67—124no—
1137#67—124no—
1138#67—124no—
1139#67—124no—
1140#67—124no—
1141#67—124no—
1142#67—124no—
1143C2×Dic3—34no—
1144C2×Dic3—34no—
1145C2×Dic3—34no—
1146C2×Dic3—34no—
1147C2×Dic3—34no—
1148C2×Dic3—34no—
1149C2×Dic3—34no—
1150C2×Dic3—34no—
1151C2×Dic3—34no—
1152C2×Dic3—34no—
1153C2×Dic3—34no—
1154C2×Dic3—34no—
1155C2×Dic3—34no—
1156C2×Dic3—68no—
1157C2×Dic3—68no—
1158C2×Dic3—68no—
1159C2×Dic3—124no—
1160C2×Dic3—124no—
1161C2×Dic3—124no—
1162C2×Dic3—124no—
1163C2×Dic3—124no—
1164C2×Dic3—124no—
1165C2×Dic3—124no—
1166C2×Dic3—124no—
1167C2×Dic3—124no—
1168C2×Dic3—124no—
1169C2×Dic3—124no—
1170D12—124no—
1171C4×D3—124no—
1172C4×D3—124no—
1173C4×D3—124no—
1174C4×D3—124no—
1175C4×D3—124no—
1176Dic6—124no—
1177Dic6—124no—
1178Dic6—124no—
1179C2×C32—22no—
1180C2×C32—22no—
1181C2×C32—41no—
1182C2×C32—41no—
1183C2×C32—41no—
1184C2×C32—41no—
1185C2×C32—41no—
1186C2×C32—41no—
1187C2×C32C2×H(5,𝔽2)11yescharacteristic
1188C2×C32C2×H(5,𝔽2)11yescharacteristic
1189C2×C32#58511yescharacteristic
1190C3⋊D3—41no—
1191C3⋊D3—41no—
1192C3⋊D3—41no—
1193C24—91no—
1194C24—91no—
1195C24C22×C3⋊D311yescharacteristic
1196C24C22×C3⋊D311yescharacteristic
1197C24C22×C3⋊D311yescharacteristic
1198C24C22×C3⋊D311yescharacteristic
1199#41—362no—
1200#41—362no—
1201#41—362no—
1202C2×Q8—91no—
1203C2×Q8—91no—
1204C2×Q8—91no—
1205C2×D4—42no—
1206C2×D4—42no—
1207C2×D4—42no—
1208C2×D4—42no—
1209C2×D4—91no—
1210C2×D4—91no—
1211C2×D4—91no—
1212C2×D4—91no—
1213C2×D4—91no—
1214C2×D4—91no—
1215C2×D4—91no—
1216C2×D4—91no—
1217C2×D4—91no—
1218C2×D4—91no—
1219C2×D4—91no—
1220C2×D4—91no—
1221C2×D4—91no—
1222C2×D4—91no—
1223C2×D4—91no—
1224C2×D4—91no—
1225C2×D4—91no—
1226C2×D4—91no—
1227C2×D4—91no—
1228C2×D4—91no—
1229C2×D4—91no—
1230C2×D4—362no—
1231C2×D4—362no—
1232C2×D4—362no—
1233C2×D4—362no—
1234C2×D4C22×C3⋊D311yescharacteristic
1235C2×D4C22×C3⋊D311yescharacteristic
1236C2×D4C22×C3⋊D311yescharacteristic
1237C2×D4C22×C3⋊D311yescharacteristic
1238C2×D4C22×C3⋊D311yescharacteristic
1239C2×D4C22×C3⋊D311yescharacteristic
1240C2×D4C22×C3⋊D311yescharacteristic
1241C2×D4C22×C3⋊D311yescharacteristic
1242C2×D4C22×C3⋊D311yescharacteristic
1243C2×D4C22×C3⋊D311yescharacteristic
1244C2×D4C22×C3⋊D311yescharacteristic
1245C2×D4C22×C3⋊D311yescharacteristic
1246C2×D4C22×C3⋊D311yescharacteristic
1247C2×D4C22×C3⋊D311yescharacteristic
1248C2×D4C22×C3⋊D311yescharacteristic
1249C2×D4C22×C3⋊D311yescharacteristic
1250C22×C4—91no—
1251C22×C4—91no—
1252C22×C4—91no—
1253C22×C4—91no—
1254C22×C4—91no—
1255C22×C4—91no—
1256C22×C4—91no—
1257C22×C4—91no—
1258C22×C4—91no—
1259C22×C4—91no—
1260C22×C4—91no—
1261C22×C4—91no—
1262C22×C4—91no—
1263C22×C4—91no—
1264C22×C4—91no—
1265C22×C4—91no—
1266C22×C4—91no—
1267C22×C4—91no—
1268C22×C4—91no—
1269C22×C4—362no—
1270C22×C4C22×C3⋊D311yescharacteristic
1271C22×C4C22×C3⋊D311yescharacteristic
1272C22×C4C22×C3⋊D311yescharacteristic
1273C22×C4C22×C3⋊D311yescharacteristic
1274C4⋊C4—91no—
1275C4⋊C4—91no—
1276C4⋊C4—91no—
1277C4⋊C4—91no—
1278C4⋊C4—91no—
1279C4⋊C4—91no—
1280C4⋊C4—91no—
1281C4⋊C4—91no—
1282C4⋊C4—91no—
1283C4⋊C4—91no—
1284C4⋊C4—91no—
1285C4⋊C4—91no—
1286C4⋊C4—91no—
1287C4⋊C4—91no—
1288C4⋊C4—91no—
1289C4⋊C4—91no—
1290C4⋊C4—91no—
1291C4⋊C4—91no—
1292C4⋊C4—91no—
1293C4⋊C4—91no—
1294C4⋊C4—91no—
1295C4⋊C4—91no—
1296C4⋊C4—91no—
1297C4⋊C4—91no—
1298C4⋊C4—91no—
1299C4⋊C4—91no—
1300C4⋊C4—91no—
1301C4⋊C4—91no—
1302C4⋊C4C22×C3⋊D311yescharacteristic
1303C4⋊C4C22×C3⋊D311yescharacteristic
1304C22⋊C4—91no—
1305C22⋊C4—91no—
1306C22⋊C4—91no—
1307C22⋊C4—91no—
1308C22⋊C4—91no—
1309C22⋊C4—91no—
1310C22⋊C4—91no—
1311C22⋊C4—91no—
1312C22⋊C4—91no—
1313C22⋊C4—91no—
1314C22⋊C4—91no—
1315C22⋊C4—91no—
1316C22⋊C4—91no—
1317C22⋊C4—91no—
1318C22⋊C4—91no—
1319C22⋊C4—91no—
1320C22⋊C4—91no—
1321C22⋊C4—91no—
1322C22⋊C4—91no—
1323C22⋊C4—91no—
1324C22⋊C4—91no—
1325C22⋊C4—91no—
1326C22⋊C4—91no—
1327C22⋊C4—91no—
1328C22⋊C4—91no—
1329C22⋊C4—91no—
1330C22⋊C4—91no—
1331C22⋊C4—91no—
1332C22⋊C4—91no—
1333C22⋊C4—91no—
1334C22⋊C4—91no—
1335C22⋊C4—91no—
1336C22⋊C4—91no—
1337C22⋊C4—91no—
1338C22⋊C4—91no—
1339C22⋊C4—91no—
1340C22⋊C4—91no—
1341C22⋊C4—91no—
1342C22⋊C4—91no—
1343C22⋊C4—91no—
1344C22⋊C4—91no—
1345C22⋊C4—91no—
1346C22⋊C4C22×C3⋊D311yescharacteristic
1347C22⋊C4C22×C3⋊D311yescharacteristic
1348C22⋊C4C22×C3⋊D311yescharacteristic
1349C22⋊C4C22×C3⋊D311yescharacteristic
1350C22⋊C4C22×C3⋊D311yescharacteristic
1351C22⋊C4C22×C3⋊D311yescharacteristic
1352C22⋊C4C22×C3⋊D311yescharacteristic
1353C22⋊C4C22×C3⋊D311yescharacteristic
1354C42—91no—
1355C42—91no—
1356C42—91no—
1357C42—91no—
1358C42—91no—
1359C42C22×C3⋊D311yescharacteristic
1360C22×C3—24no—
1361C22×C3—24no—
1362C22×C3—24no—
1363C22×C3—24no—
1364C22×C3—24no—
1365C22×C3—24no—
1366C22×C3—24no—
1367C22×C3—24no—
1368C22×C3—24no—
1369C22×C3—24no—
1370C22×C3—24no—
1371C22×C3—24no—
1372C22×C3—24no—
1373C22×C3—24no—
1374C22×C3—24no—
1375C22×C3—24no—
1376C22×C3—24no—
1377C22×C3—24no—
1378C22×C3—24no—
1379C22×C3—24no—
1380C22×C3—24no—
1381C22×C3—24no—
1382C22×C3—416no—
1383C22×C3—88no—
1384C22×C3—88no—
1385C22×C3—88no—
1386C22×C3#100418yes—
1387C22×C3#100418yes—
1388C22×C3C24×D314yes—
1389C2×D3—64no—
1390C2×D3—64no—
1391C2×D3—64no—
1392C2×D3—64no—
1393C2×D3—64no—
1394C2×D3—64no—
1395C2×D3—64no—
1396C2×D3—64no—
1397C2×D3—64no—
1398C2×D3—248no—
1399C2×D3—248no—
1400C3×C4—24no—
1401C3×C4—24no—
1402C3×C4—24no—
1403C3×C4—24no—
1404C3×C4—24no—
1405C3×C4—24no—
1406C3×C4—24no—
1407Dic3—64no—
1408Dic3—64no—
1409Dic3—64no—
1410Dic3—64no—
1411Dic3—64no—
1412Dic3—64no—
1413Dic3—64no—
1414Dic3—64no—
1415Dic3—64no—
1416Dic3—64no—
1417Dic3—64no—
1418Dic3—64no—
1419Dic3—64no—
1420C32#353411yescharacteristic, complemented, Sylow
1421C23—22no—
1422C23—22no—
1423C23—22no—
1424C23—22no—
1425C23—41no—
1426C23—41no—
1427C23—41no—
1428C23—41no—
1429C23—41no—
1430C23—41no—
1431C23—41no—
1432C23—41no—
1433C23—91no—
1434C23—91no—
1435C23—91no—
1436C23—182no—
1437C23—361no—
1438C23—361no—
1439C23—361no—
1440C23—361no—
1441C23—361no—
1442C23C23×C3⋊D311yescharacteristic
1443C23C23×C3⋊D311yescharacteristic
1444C23C23×C3⋊D311yescharacteristic
1445C23C23×C3⋊D311yescharacteristic
1446C23C23×C3⋊D311yescharacteristic
1447C23C23×C3⋊D311yescharacteristic
1448C23C23×C3⋊D311yescharacteristic
1449C23C23×C3⋊D311yescharacteristic
1450Q8—361no—
1451Q8—361no—
1452Q8—361no—
1453D4—22no—
1454D4—22no—
1455D4—22no—
1456D4—22no—
1457D4—22no—
1458D4—22no—
1459D4—41no—
1460D4—41no—
1461D4—41no—
1462D4—41no—
1463D4—41no—
1464D4—41no—
1465D4—41no—
1466D4—41no—
1467D4—41no—
1468D4—41no—
1469D4—182no—
1470D4—182no—
1471D4—182no—
1472D4—182no—
1473D4—361no—
1474D4—361no—
1475D4—361no—
1476D4—361no—
1477D4—361no—
1478D4—361no—
1479D4—361no—
1480D4—361no—
1481D4—361no—
1482D4—361no—
1483D4—361no—
1484D4—361no—
1485D4—361no—
1486D4—361no—
1487D4—361no—
1488D4—361no—
1489D4—361no—
1490C2×C4—41no—
1491C2×C4—41no—
1492C2×C4—41no—
1493C2×C4—41no—
1494C2×C4—91no—
1495C2×C4—91no—
1496C2×C4—91no—
1497C2×C4—91no—
1498C2×C4—91no—
1499C2×C4—91no—
1500C2×C4—91no—
1501C2×C4—91no—
1502C2×C4—91no—
1503C2×C4—91no—
1504C2×C4—91no—
1505C2×C4—91no—
1506C2×C4—91no—
1507C2×C4—182no—
1508C2×C4—182no—
1509C2×C4—182no—
1510C2×C4—361no—
1511C2×C4—361no—
1512C2×C4—361no—
1513C2×C4—361no—
1514C2×C4—361no—
1515C2×C4—361no—
1516C2×C4—361no—
1517C2×C4—361no—
1518C2×C4—361no—
1519C2×C4—361no—
1520C2×C4—361no—
1521C2×C4—361no—
1522C2×C4—361no—
1523C2×C4—361no—
1524C2×C4—361no—
1525C2×C4—361no—
1526C2×C4C23×C3⋊D311yescharacteristic
1527C2×C4C23×C3⋊D311yescharacteristic
1528C2×C4C23×C3⋊D311yescharacteristic
1529C2×C4C23×C3⋊D311yescharacteristic
1530C2×C4C23×C3⋊D311yescharacteristic
1531C2×C4C23×C3⋊D311yescharacteristic
1532C2×C4C23×C3⋊D311yescharacteristic
1533C2×C3—28no—
1534C2×C3—28no—
1535C2×C3—44no—
1536C2×C3—44no—
1537C2×C3—44no—
1538C2×C3—44no—
1539C2×C3—44no—
1540C2×C3—44no—
1541C2×C3C2×#100414yes—
1542C2×C3C2×#100414yes—
1543C2×C3#596614yes—
1544D3—124no—
1545D3—124no—
1546D3—124no—
1547C22—21no—
1548C22—21no—
1549C22—21no—
1550C22—21no—
1551C22—21no—
1552C22—21no—
1553C22—21no—
1554C22—21no—
1555C22—21no—
1556C22—21no—
1557C22—21no—
1558C22—21no—
1559C22—21no—
1560C22—21no—
1561C22—21no—
1562C22—21no—
1563C22—21no—
1564C22—21no—
1565C22—21no—
1566C22—21no—
1567C22—21no—
1568C22—21no—
1569C22—44no—
1570C22—82no—
1571C22—82no—
1572C22—82no—
1573C22—181no—
1574C22—181no—
1575C22—181no—
1576C22—181no—
1577C22—181no—
1578C22—181no—
1579C22—181no—
1580C22—181no—
1581C22—181no—
1582C22—722no—
1583C22—722no—
1584C22#6436112yes—
1585C22#6436112yes—
1586C22C24×C3⋊D311yescharacteristic
1587C4—21no—
1588C4—21no—
1589C4—21no—
1590C4—21no—
1591C4—21no—
1592C4—21no—
1593C4—21no—
1594C4—181no—
1595C4—181no—
1596C4—181no—
1597C4—181no—
1598C4—181no—
1599C4—181no—
1600C4—181no—
1601C4—181no—
1602C4—181no—
1603C4—181no—
1604C4—181no—
1605C4—181no—
1606C4—181no—
1607C3#8661314yescomplemented
1608C2—22no—
1609C2—22no—
1610C2—41no—
1611C2—41no—
1612C2—41no—
1613C2—41no—
1614C2—41no—
1615C2—41no—
1616C2—361no—
1617C2—361no—
1618C2—361no—
1619C2C2×#6436111yescharacteristic
1620C2C2×#6436111yescharacteristic
1621C2#1059675811yescharacteristic
subgroupG/H
center, FrattiniC22C24×C3⋊D3
commutator, socle, cosocleC22×C32C25
FittingC32×D42C2
hypercenterD42C3⋊D3
hypocenterC32#3534
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C22 ◁ D42

Complements

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

NH ≅ G/Ntype
1. C32×D42C2semidirect
2. #10596277C2semidirect
3. #10596277C2semidirect
4. #10596277C2semidirect
5. #10596275C2semidirect
6. #10596275C2semidirect
7. C2×#64148C2semidirect
8. D4×#638C2semidirect
9. C2×#64144C2semidirect
10. #10596191C2semidirect
11. #10596190C2semidirect
12. #10596092C2semidirect
13. #10596092C2semidirect
14. #10596086C2semidirect
15. #10596084C2semidirect
16. #10596081C2semidirect
17. #10596073C2semidirect
18. #10596072C2semidirect
19. #10596068C2semidirect
20. #10596066C2semidirect
21. #10596064C2semidirect
22. #10596064C2semidirect
23. #10596062C2semidirect
24. #10596062C2semidirect
25. #10596060C2semidirect
26. #10596058C2semidirect
27. #10596057C2semidirect
28. #10596035C2semidirect
29. #10596035C2semidirect
30. #10596027C2semidirect
31. #10596011C2semidirect
34. C22×C32×D4C22semidirect
35. C22×C32×D4C22semidirect
36. C22×C32×D4C22semidirect
37. C22×#638C22semidirect
38. C22×#638C22semidirect
39. C22×#638C22semidirect
40. C23×C3⋊Dic3C22semidirect
41. C2×#3830C22semidirect
42. C2×#3830C22semidirect
43. C2×#3830C22semidirect
44. C2×D4×C3⋊D3C22semidirect
45. C32×#127C22semidirect
47. C32×#121C22semidirect
48. C32×#121C22semidirect
49. C32×#121C22semidirect
51. C32×#120C22semidirect
52. C32×#120C22semidirect
53. C32×#120C22semidirect
54. C32×C4×D4C22semidirect
55. C32×C4×D4C22semidirect
56. #64162C22semidirect
57. #64162C22semidirect
58. #64162C22semidirect
59. #64162C22semidirect
60. #64162C22semidirect
61. #64162C22semidirect
62. C2×#3757C22semidirect
63. C2×#3757C22semidirect
64. C2×#3757C22semidirect
65. C2×#3757C22semidirect
66. C2×#3757C22semidirect
67. C2×#3757C22semidirect
68. #64149C22semidirect
71. #64148C22semidirect
72. #64148C22semidirect
73. #64148C22semidirect
74. #64148C22semidirect
75. #64148C22semidirect
76. #64148C22semidirect
77. #64148C22semidirect
78. #64148C22semidirect
79. #64148C22semidirect
80. #64148C22semidirect
81. #64148C22semidirect
82. #64148C22semidirect
83. #64148C22semidirect
84. #64148C22semidirect
85. #64148C22semidirect
86. #64148C22semidirect
87. #64148C22semidirect
88. #64148C22semidirect
89. #64148C22semidirect
90. #64148C22semidirect
91. #64147C22semidirect
92. #64147C22semidirect
93. #64147C22semidirect
94. #64147C22semidirect
95. #64147C22semidirect
96. #64147C22semidirect
98. #64146C22semidirect
99. #64146C22semidirect
100. #64146C22semidirect
101. #64146C22semidirect
102. #64146C22semidirect
103. #64145C22semidirect
104. #64145C22semidirect
105. #64145C22semidirect
106. #64144C22semidirect
107. #64144C22semidirect
108. #64144C22semidirect
109. #64144C22semidirect
110. #64144C22semidirect
111. #64144C22semidirect
112. #64144C22semidirect
113. #64144C22semidirect
114. #64144C22semidirect
115. #64144C22semidirect
116. #64144C22semidirect
117. #64144C22semidirect
118. #64144C22semidirect
119. #64144C22semidirect
120. #64144C22semidirect
121. #64144C22semidirect
122. D4×C3⋊Dic3C22semidirect
123. D4×C3⋊Dic3C22semidirect
124. D4×C3⋊Dic3C22semidirect
125. D4×C3⋊Dic3C22semidirect
126. D4×C3⋊Dic3C22semidirect
127. D4×C3⋊Dic3C22semidirect
128. #64139C22semidirect
129. #64138C22semidirect
130. #64138C22semidirect
131. #64138C22semidirect
132. #64138C22semidirect
133. C4×#638C22semidirect
134. C4×#638C22semidirect
135. C4×#638C22semidirect
136. C4×#638C22semidirect
137. C2×#3752C22semidirect
138. #64133C22semidirect
139. #64133C22semidirect
140. #64133C22semidirect
141. C2×#3750C22semidirect
142. C2×#3750C22semidirect
143. C2×#3750C22semidirect
144. #64107C22semidirect
145. #64105C22semidirect
146. #64105C22semidirect
147. #64105C22semidirect
148. #64103C22semidirect
149. #64098C22semidirect
150. #64098C22semidirect
151. #64098C22semidirect
152. #64095C22semidirect
153. #64095C22semidirect
154. #64094C22semidirect
155. #64094C22semidirect
156. #64094C22semidirect
157. #64093C22semidirect
158. #64093C22semidirect
159. #64093C22semidirect
160. #64092C22semidirect
161. #64092C22semidirect
162. #64092C22semidirect
163. #64092C22semidirect
164. #64092C22semidirect
165. #64090C22semidirect
166. #64090C22semidirect
167. #64090C22semidirect
168. #64090C22semidirect
169. C22⋊C4×C3⋊D3C22semidirect
170. C22⋊C4×C3⋊D3C22semidirect
171. #64088C22semidirect
172. #64088C22semidirect
173. #64088C22semidirect
174. #64088C22semidirect
175. #64088C22semidirect
176. #64087C22semidirect
177. #64087C22semidirect
178. #64087C22semidirect
179. #64087C22semidirect
180. #64087C22semidirect
181. #64087C22semidirect
182. #64086C22semidirect
183. #64086C22semidirect
184. #64085C22semidirect
185. #64085C22semidirect
186. #64081C22semidirect
187. #64079C22semidirect
188. C3×D42D3semidirect
388. C22×C3×D4C2×D3semidirect
389. C22×C3×D4C2×D3semidirect
390. C22×C3×D4C2×D3semidirect
399. C3×#127C2×D3semidirect
401. C3×#121C2×D3semidirect
402. C3×#121C2×D3semidirect
403. C3×#121C2×D3semidirect
405. C3×#120C2×D3semidirect
406. C3×#120C2×D3semidirect
407. C3×#120C2×D3semidirect
408. C3×C4×D4C2×D3semidirect
409. C3×C4×D4C2×D3semidirect
669. D42C3⋊D3semidirect
920. C22×D4C2×C3⋊D3semidirect
921. C22×D4C2×C3⋊D3semidirect
922. C22×D4C2×C3⋊D3semidirect
925. #127C2×C3⋊D3semidirect
1017. #121C2×C3⋊D3semidirect
1018. #121C2×C3⋊D3semidirect
1019. #121C2×C3⋊D3semidirect
1033. #120C2×C3⋊D3semidirect
1034. #120C2×C3⋊D3semidirect
1035. #120C2×C3⋊D3semidirect
1050. C4×D4C2×C3⋊D3semidirect
1051. C4×D4C2×C3⋊D3semidirect
1420. C32#3534semidirect
1607. C3#86613semidirect

Maximal subgroups

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

subgroupindex
C32×D422
#105962772
#105962752
C2×#641482
D4×#6382
C2×#641442
#105961912
#105961902
#105960922
#105960862
#105960842
#105960812
#105960732
#105960722
#105960682
#105960662
#105960642
#105960622
#105960602
#105960582
#105960572
#105960352
#105960272
#105960112
#866133