Finite Group Databasebeta

← #11904704

Subgroups — #11904704

Order 1152.

3483 conjugacy classes of subgroups.

The subgroup lattice has 1687 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D3×#239C211yesmaximal, characteristic, complemented
2C2×#64308C211yesmaximal, characteristic, complemented
3#10596101C211yesmaximal, characteristic, complemented
4C3×#5633C211yesmaximal, characteristic, complemented
5C3×#5629C211yesmaximal, characteristic, complemented
6#10595431C211yesmaximal, characteristic, complemented
7#10595426C211yesmaximal, characteristic, complemented
8#10595402C211yesmaximal, characteristic, complemented
9#10595074C211yesmaximal, characteristic, complemented
10#10595060C211yesmaximal, characteristic, complemented
11#10595006C211yesmaximal, characteristic, complemented
12#10594623C212yesmaximal, complemented
13#10594622C212yesmaximal, complemented
14#10594621C212yesmaximal, complemented
15#10594618C211yesmaximal, characteristic, complemented
16D3×#895C211yesmaximal, characteristic, complemented
17#10594524C211yesmaximal, characteristic, complemented
18#10594519C212yesmaximal, complemented
19#10594327C211yesmaximal, characteristic, complemented
20#10594287C212yesmaximal, complemented
21#10594285C212yesmaximal, complemented
22#10594284C212yesmaximal, complemented
23#10594265C212yesmaximal, complemented
24#86713—31nomaximal
25#86379—31nomaximal
26C2×#3832C2211yescharacteristic, complemented
27C22×C4⋊(C3⋊D3)C2211yescharacteristic, complemented
28C2×C3×#239C2211yescharacteristic, complemented
29C2×C3×D3×Q8C2211yescharacteristic, complemented
30C2×C3×#235C2211yescharacteristic, complemented
31C2×C3×#235C2211yescharacteristic, complemented
32C2×#3811C2212yescomplemented
33C2×#3811C2212yescomplemented
34C2×#3811C2212yescomplemented
35D3×#239—28no—
36#64308—28no—
37C2×#3802C2212yescomplemented
38C2×D3×D12C2211yescharacteristic, complemented
39C2×D3×D12C2211yescharacteristic, complemented
40C2×D3×D12C2211yescharacteristic, complemented
41C2×D3×D12C2212yescomplemented
42C2×D3×D12C2212yescomplemented
43C2×D3×D12C2212yescomplemented
44C2×C4×D32C2211yescharacteristic, complemented
45C2×C4×D32C2212yescomplemented
46C2×#3799C2211yescharacteristic
47C2×#3799C2212yescomplemented
48C2×#3799C2211yescharacteristic, complemented
49C2×#3799C2212yescomplemented
50C2×#3796C2212yescomplemented
51C2×#3796C2211yescharacteristic, complemented
52C32×C22⋊Q8C2211yescharacteristic, complemented
53#64156C2211yescharacteristic, complemented
54C4×#638C2211yescharacteristic, complemented
55#64104C2211yescharacteristic, complemented
56#64104C2212yescomplemented
57#64103C2212yescomplemented
58#64102C2211yescharacteristic, complemented
59#64091C2212yescomplemented
60C22⋊C4×C3⋊D3C2212yescomplemented
61C3×#947C2211yescharacteristic, complemented
62C3×#946C2211yescharacteristic, complemented
63C3×#930C2211yescharacteristic, complemented
64C3×C4×#67C2211yescharacteristic, complemented
65C3×#896C2212yescomplemented
66C3×#896C2212yescomplemented
67C3×#895C2211yescharacteristic, complemented
68C3×#895C2211yescharacteristic, complemented
69C3×#895C2212yescomplemented
70C3×#893C2212yescomplemented
71C3×D3×C4⋊C4C2211yescharacteristic, complemented
72C3×#887C2211yescharacteristic, complemented
73C3×#885C2212yescomplemented
74C3×#884C2212yescomplemented
75C3×#884C2212yescomplemented
76C3×#884C2212yescomplemented
77#63983C2211yescharacteristic, complemented
78#63981C2212yescomplemented
79#63979C2212yescomplemented
80#63970C2212yescomplemented
81#63970C2211yescharacteristic, complemented
82#63969C2211yescharacteristic, complemented
83#63958C2211yescharacteristic, complemented
84#63923C2212yescomplemented
85#63923C2212yescomplemented
86#63922C2212yescomplemented
87#63922C2212yescomplemented
88#63922C2211yescharacteristic, complemented
89#63922C2212yescomplemented
90#63922C2212yescomplemented
91#63921C2212yescomplemented
92D3×(C2×D3)⋊C4C2212yescomplemented
93#63916C2211yescharacteristic, complemented
94#63914C2211yescharacteristic, complemented
95#63912C2212yescomplemented
96#63911C2211yescharacteristic, complemented
97#63911C2212yescomplemented
98#63910C2212yescomplemented
99#63910C2212yescomplemented
100#63910C2212yescomplemented
101#63910C2212yescomplemented
102#63909C2211yescharacteristic, complemented
103#63907C2212yescomplemented
104#63906C2212yescomplemented
105#63906C2212yescomplemented
106#63906C2212yescomplemented
107#63906C2212yescomplemented
108#63904C2212yescomplemented
109#63904C2212yescomplemented
110C4×#626C2212yescomplemented
111C4×#626C2211yescharacteristic, complemented
112C4×#625C2211yescharacteristic, complemented
113#63894C2211yescharacteristic, complemented
114#63888C2212yescomplemented
115#63888C2211yescharacteristic, complemented
116#63887C2211yescharacteristic, complemented
117#63886C2212yescomplemented
118#63886C2212yescomplemented
119#63884C2211yescharacteristic, complemented
120#63883C2212yescomplemented
121#63880C2212yescomplemented
122#63879C2212yescomplemented
123#63855C2211yescharacteristic, complemented
124#63853C2212yescomplemented
125#63843C2211yescharacteristic, complemented
126#63836C2212yescomplemented
127C2×#1009—31no—
128C2×#1009—31no—
129C2×D3×#41—31no—
130C22×#239—31no—
131C3×#548—31no—
132C3×#537—31no—
133#5834—31no—
134#5830—31no—
135#5828—31no—
136#5817—31no—
137#5676—31no—
138#5676—32no—
139#5674—31no—
140#5674—32no—
141#5633—31no—
142#5633D311yescharacteristic, complemented
143#5630—31no—
144#5630—31no—
145#5630—31no—
146#5630—32no—
147#5630—61no—
148#5629—32no—
149#5629—32no—
150#5629D311yescharacteristic, complemented
151#5627—32no—
152#5610—32no—
153#5610—32no—
154#5609—31no—
155#5609—31no—
156#5609—31no—
157#5609—32no—
158#5609—32no—
159#5609—32no—
160#5607—32no—
161D3×#121—31no—
162D3×#121—32no—
163D3×#121—32no—
164#5599—31no—
165#5599—31no—
166#5577—31no—
167#5574—31no—
168D4×D12—31no—
169D4×D12—32no—
170#5547—31no—
171#5547—32no—
172C2×#895—31no—
173#5504—31no—
174C23×C3⋊D3C2312yes—
175C22×D32C2311yescharacteristic
176C22×D32C2312yes—
177C22×D32C2312yes—
178C22×D32C2312yes—
179C2×C32×Q8C2311yescharacteristic
180C22×C32×C4C2311yescharacteristic
181C2×#638C2311yescharacteristic
182#3832—24no—
183C2×C4⋊(C3⋊D3)—24no—
184C2×C4⋊(C3⋊D3)C2312yes—
185C2×C4⋊(C3⋊D3)C2312yes—
186C2×C4⋊(C3⋊D3)C2311yescharacteristic
187C2×C4⋊(C3⋊D3)C2312yes—
188C2×C4⋊(C3⋊D3)C2311yescharacteristic
189C2×C4×C3⋊D3C2312yes—
190C2×C4×C3⋊D3C2311yescharacteristic
191C2×C4×C3⋊D3C2312yes—
192C2×C3×#67C2311yescharacteristic
193C2×C3×#67C2311yescharacteristic
194C2×C3×#67C2311yescharacteristic
195C2×C3×#67C2312yes—
196C2×C3×#67C2312yes—
197C3×#239—24no—
198C3×D3×Q8—24no—
199C3×#235—24no—
200C3×#235—24no—
201C2×C3×D12C2312yes—
202C2×C3×D12C2312yes—
203C2×C3×D12C2311yescharacteristic
204C2×C3×D12C2311yescharacteristic
205C2×C3×D12C2311yescharacteristic
206C2×C3×D12C2312yes—
207C2×C3×C4×D3C2312yes—
208C2×C3×C4×D3C2312yes—
209C2×C3×C4×D3C2312yes—
210C2×C3×C4×D3C2311yescharacteristic
211C2×C3×C4×D3C2311yescharacteristic
212C2×C3×C4×D3C2312yes—
213C2×C3×C4×D3C2311yescharacteristic
214C2×C3×Dic6C2312yes—
215C2×C3×Dic6C2311yescharacteristic
216C2×C3×Dic6C2311yescharacteristic
217#3811—28no—
218#3811—28no—
219#3811—44no—
220C2×#626C2312yes—
221C2×#626C2312yes—
222C2×#626C2312yes—
223C2×#626C2312yes—
224C2×#626C2312yes—
225C2×#626C2312yes—
226C2×#626C2312yes—
227C2×#626C2312yes—
228C2×#626C2312yes—
229C2×#626C2311yescharacteristic
230C2×#626C2312yes—
231C2×#625C2311yescharacteristic
232C2×#625C2312yes—
233C2×#625C2312yes—
234C2×#624C2311yescharacteristic
235C2×#624C2312yes—
236C2×#624C2312yes—
237C2×#624C2312yes—
238C2×D3×Dic3C2312yes—
239C2×D3×Dic3C2311yescharacteristic
240C2×D3×Dic3C2311yescharacteristic
241#3802—44no—
242D3×D12—24no—
243D3×D12—24no—
244D3×D12—24no—
245D3×D12—28no—
246D3×D12—28no—
247D3×D12—44no—
248C4×D32—24no—
249C4×D32—28no—
250#3799—24no—
251#3799—28no—
252#3799—28no—
253#3799D418yescomplemented
254#3796—24no—
255#3796—28no—
256C32×C4⋊C4C2311yescharacteristic
257C32×C4⋊C4C2312yes—
258C32×C22⋊C4C2312yes—
259#3757C2311yescharacteristic
260#3752C2312yes—
261#3752C2312yes—
262#3752C2312yes—
263#3752C2312yes—
264#3752C2311yescharacteristic
265#3750C2311yescharacteristic
266C4×C3⋊Dic3C2311yescharacteristic
267C3×#217C2311yescharacteristic
268C3×(C2×D3)⋊C4C2312yes—
269C3×(C2×D3)⋊C4C2312yes—
270C3×(C2×D3)⋊C4C2312yes—
271C3×(C2×D3)⋊C4C2312yes—
272C3×(C2×D3)⋊C4C2312yes—
273C3×(C2×D3)⋊C4C2311yescharacteristic
274C3×(C2×D3)⋊C4C2312yes—
275C3×C4⋊Dic3C2311yescharacteristic
276C3×Dic3⋊C4C2312yes—
277C3×Dic3⋊C4C2312yes—
278C3×Dic3⋊C4C2312yes—
279C3×Dic3⋊C4C2311yescharacteristic
280C3×C4×Dic3C2312yes—
281C3×C4×Dic3C2311yescharacteristic
282#3724C2311yescharacteristic
283Dic3⋊Dic3C2311yescharacteristic
284Dic3⋊Dic3C2312yes—
285Dic3⋊Dic3C2311yescharacteristic
286Dic3⋊Dic3C2311yescharacteristic
287#3722C2312yes—
288#3722C2311yescharacteristic
289#3722C2312yes—
290(C2×D3)⋊Dic3C2312yes—
291(C2×D3)⋊Dic3C2311yescharacteristic
292(C2×D3)⋊Dic3C2311yescharacteristic
293(C2×D3)⋊Dic3C2311yescharacteristic
294(C2×D3)⋊Dic3C2311yescharacteristic
295(C2×D3)⋊Dic3C2311yescharacteristic
296Dic32C2312yes—
297#3488—91noSylow
298C2×C3×#41—31no—
299C2×C3×#41—31no—
300C2×C3×#41—31no—
301C22×C3×Q8—31no—
302#1009—68no—
303#1009—68no—
304D3×#41—68no—
305C2×#239—31no—
306C2×#239—31no—
307C2×#239—32no—
308C2×#239—31no—
309C2×#239—31no—
310C2×#239—32no—
311C2×#239—31no—
312C2×#239—32no—
313C2×#239—61no—
314C2×#239—68no—
315C2×#239C2×D311yescharacteristic, complemented
316C2×D3×Q8C2×D311yescharacteristic, complemented
317C2×#237—31no—
318C2×#237—32no—
319C2×D3×D4—32no—
320C2×D3×D4—32no—
321C2×D3×D4—32no—
322C2×D3×D4—32no—
323C2×D3×D4—32no—
324C2×D3×D4—32no—
325C2×D3×D4—32no—
326C2×D3×D4—32no—
327C2×D3×D4—31no—
328C2×D3×D4—31no—
329C2×D3×D4—32no—
330C2×D3×D4—31no—
331C2×D3×D4—32no—
332C2×D3×D4—32no—
333C2×#235—31no—
334C2×#235—31no—
335C2×#235—32no—
336C2×#235—32no—
337C2×#235C2×D311yescharacteristic, complemented
338C2×#235C2×D311yescharacteristic, complemented
339C22×D12—31no—
340C22×D12—31no—
341C22×D12—32no—
342C22×D12—31no—
343C22×D12—31no—
344C22×D12—32no—
345C22×D12—31no—
346C22×D12—32no—
347C22×D12—61no—
348C22×C4×D3—32no—
349C22×C4×D3—31no—
350C22×C4×D3—31no—
351C22×C4×D3—32no—
352C3×#124—31no—
353C3×#124—32no—
354C3×C22⋊Q8—21no—
355C3×C22⋊Q8—31no—
356C3×C22⋊Q8—32no—
357C3×C22⋊Q8—32no—
358C3×C22⋊Q8C2×D311yescharacteristic, complemented
359C3×C22⋊Q8C2×D311yescharacteristic, complemented
360C3×#121—31no—
361C3×#121—31no—
362C3×#121—31no—
363C3×#121—32no—
364C3×#121—32no—
365C3×#121—32no—
366C3×#121—32no—
367C3×C4×Q8—31no—
368C3×C4×D4—31no—
369C3×C4×D4—32no—
370C2×C3×C4⋊C4—31no—
371#947—31no—
372#947—31no—
373#947—32no—
374#947—61no—
375#947C2×D311yescharacteristic, complemented
376#946—31no—
377#946—32no—
378#946—31no—
379#946C2×D311yescharacteristic, complemented
380Q8×Dic3—31no—
381#940—32no—
382#940—32no—
383#940—31no—
384#940—31no—
385#940—31no—
386#940—32no—
387#939—31no—
388#939—32no—
389#939—32no—
390#939—32no—
391#938—32no—
392#938—31no—
393#938—31no—
394#938—31no—
395#937—31no—
396#937—31no—
397#937—32no—
398#937—32no—
399#937—31no—
400#937—32no—
401#937—32no—
402#937—32no—
403#935—31no—
404#935—31no—
405#930—32no—
406#930—32no—
407#930—32no—
408#930—32no—
409#930—31no—
410#930C2×D311yescharacteristic, complemented
411C4×#67—31no—
412C4×#67—31no—
413C4×#67—31no—
414C4×#67—31no—
415C4×#67—32no—
416C4×#67—32no—
417C4×#67—32no—
418C4×#67—32no—
419C4×#67—31no—
420C4×#67—61no—
421C4×#67C2×D311yescharacteristic, complemented
422C2×(C2×D3)⋊C4—32no—
423#926—31no—
424#896—32no—
425#896—31no—
426#896C2×D312yescomplemented
427#896C2×D312yescomplemented
428#895—32no—
429#895—31no—
430#895—32no—
431#895—31no—
432#895—31no—
433#895—32no—
434#895—31no—
435#895—32no—
436#895—32no—
437#895—32no—
438#895—32no—
439#895—32no—
440#895—61no—
441#895—62no—
442#895C2×D311yescharacteristic, complemented
443#895C2×D312yescomplemented
444#895C2×D311yescharacteristic, complemented
445#894—31no—
446#894—32no—
447#894—32no—
448#894—32no—
449#894—62no—
450#893—32no—
451#893—32no—
452#893—31no—
453#893—31no—
454#893—31no—
455#893—61no—
456#893C2×D312yescomplemented
457#892—32no—
458D3×C4⋊C4—32no—
459D3×C4⋊C4—32no—
460D3×C4⋊C4C2×D311yescharacteristic, complemented
461#887—31no—
462#887C2×D311yescharacteristic, complemented
463#885—32no—
464#885C2×D312yescomplemented
465#884—31no—
466#884—32no—
467#884—32no—
468#884—32no—
469#884—32no—
470#884—32no—
471#884—32no—
472#884—32no—
473#884—32no—
474#884—32no—
475#884—32no—
476#884C2×D312yescomplemented
477#884C2×D312yescomplemented
478#884C2×D312yescomplemented
479#883—31no—
480#883—32no—
481#882—32no—
482#882—32no—
483#882—32no—
484#882—32no—
485#882—31no—
486#882—32no—
487#882—32no—
488#882—32no—
489#882—32no—
490#882—32no—
491#882—32no—
492#882—32no—
493#882—62no—
494#67⋊C4—32no—
495#67⋊C4—32no—
496D3×C22⋊C4—32no—
497D3×C22⋊C4—32no—
498D3×C22⋊C4—32no—
499D3×C22⋊C4—32no—
500D3×C22⋊C4—32no—
501D3×C22⋊C4—62no—
502#878—31no—
503#874—32no—
504#874—31no—
505C4×D12—31no—
506C4×D12—32no—
507C4×D12—32no—
508C4×D12—31no—
509#872—31no—
510#872—32no—
511C23×C32C2411yescharacteristic
512C22×C3⋊D3—24no—
513C22×C3⋊D3—42no—
514C22×C3⋊D3—42no—
515C22×C3⋊D3C2412yes—
516C22×C3⋊D3C2411yescharacteristic
517C22×C3⋊D3C2412yes—
518C22×C3×D3C2411yescharacteristic
519C22×C3×D3C2412yes—
520C22×C3×D3C2412yes—
521C22×C3×D3C2411yescharacteristic
522C22×C3×D3C2411yescharacteristic
523C2×D32—24no—
524C2×D32—22no—
525C2×D32—22no—
526C2×D32—24no—
527C2×D32—24no—
528C2×D32—24no—
529C2×D32—41no—
530C2×D32—42no—
531C2×D32—42no—
532C2×D32—42no—
533C2×D32—42no—
534C2×D32—42no—
535C32×Q8—22no—
536C2×C32×C4—22no—
537C2×C32×C4C2412yes—
538C2×C32×C4C2411yescharacteristic
539C2×C32×C4C2412yes—
540C2×C32×C4C2411yescharacteristic
541#638—41no—
542C2×C3⋊Dic3C2411yescharacteristic
543C2×C3⋊Dic3C2411yescharacteristic
544C2×C3⋊Dic3C2411yescharacteristic
545C4⋊(C3⋊D3)—24no—
546C4⋊(C3⋊D3)—24no—
547C4⋊(C3⋊D3)—22no—
548C4⋊(C3⋊D3)—42no—
549C4⋊(C3⋊D3)C2×D414yescomplemented
550C4×C3⋊D3—24no—
551C4×C3⋊D3—22no—
552C4×C3⋊D3—42no—
553C3×#67—22no—
554C3×#67—22no—
555C3×#67—22no—
556C3×#67—24no—
557C3×#67—42no—
558C2×C3×Dic3C2412yes—
559C2×C3×Dic3C2411yescharacteristic
560C2×C3×Dic3C2411yescharacteristic
561C2×C3×Dic3C2411yescharacteristic
562C2×C3×Dic3C2411yescharacteristic
563C2×C3×Dic3C2412yes—
564C2×C3×Dic3C2411yescharacteristic
565C3×D12—24no—
566C3×D12—22no—
567C3×D12—24no—
568C3×D12—22no—
569C3×D12—22no—
570C3×D12—42no—
571C3×C4×D3—22no—
572C3×C4×D3—22no—
573C3×C4×D3—24no—
574C3×C4×D3—24no—
575C3×C4×D3—24no—
576C3×C4×D3—42no—
577C3×C4×D3C2×D414yescomplemented
578C3×Dic6—24no—
579C3×Dic6—22no—
580C3×Dic6C2×D414yescomplemented
581#626—24no—
582#626—24no—
583#626—24no—
584#626—24no—
585#626—24no—
586#626—24no—
587#626—42no—
588#626—42no—
589#626—41no—
590#626—42no—
591#626C2×D418yescomplemented
592#625—22no—
593#625—42no—
594#625—42no—
595#624—22no—
596#624—24no—
597#624—42no—
598#624C2×D418yescomplemented
599D3×Dic3—22no—
600D3×Dic3—24no—
601D3×Dic3—22no—
602C2×H(5,𝔽2)—91no—
603C22×#41—91no—
604#550—91no—
605#550—91no—
606#548—31no—
607#548—91no—
608#546—92no—
609#546—92no—
610#546—91no—
611#546—91no—
612D42—91no—
613D42—92no—
614D42—92no—
615D42—91no—
616#537—31no—
617#537—92no—
618#535—92no—
619#535—91no—
620#525—92no—
621#525—91no—
622C2×#121—91no—
623C2×#121—92no—
624#520—91no—
625C23×D3—32no—
626C23×D3—32no—
627C23×D3—32no—
628C23×D3—32no—
629C23×D3—31no—
630C23×D3—31no—
631C23×D3—32no—
632C23×D3—32no—
633C23×D3—32no—
634C23×D3—32no—
635C23×D3—62no—
636C3×#41—64no—
637C3×#41—64no—
638C3×#41—64no—
639C2×C3×Q8—21no—
640C2×C3×Q8—31no—
641C2×C3×Q8—31no—
642C2×C3×Q8—32no—
643C2×C3×Q8—64no—
644C2×C3×Q8C22×D311yescharacteristic
645C2×C3×Q8C22×D311yescharacteristic
646C2×C3×D4—31no—
647C2×C3×D4—31no—
648C2×C3×D4—31no—
649C2×C3×D4—32no—
650C2×C3×D4—32no—
651C2×C3×D4—31no—
652C2×C3×D4—32no—
653C2×C3×D4—32no—
654C2×C3×D4—31no—
655C2×C3×D4—31no—
656C2×C3×D4—32no—
657C22×C3×C4—21no—
658C22×C3×C4—31no—
659C22×C3×C4—31no—
660C22×C3×C4—32no—
661C22×C3×C4—31no—
662C22×C3×C4—32no—
663C22×C3×C4—32no—
664C22×C3×C4—32no—
665C22×C3×C4C22×D311yescharacteristic
666C22×C3×C4C22×D311yescharacteristic
667C2×#67—31no—
668C2×#67—31no—
669C2×#67—31no—
670C2×#67—31no—
671C2×#67—32no—
672C2×#67—32no—
673C2×#67—32no—
674C2×#67—32no—
675C2×#67—32no—
676C2×#67—32no—
677C2×#67—32no—
678C2×#67—32no—
679C2×#67—32no—
680C2×#67—32no—
681C2×#67—32no—
682C2×#67—32no—
683C2×#67—31no—
684C2×#67—32no—
685C2×#67—32no—
686C2×#67—61no—
687C2×#67C22×D311yescharacteristic
688C2×#67C22×D311yescharacteristic
689C2×#67C22×D311yescharacteristic
690C2×#67C22×D312yes—
691C2×#67C22×D312yes—
692C22×Dic3—31no—
693C22×Dic3—32no—
694C22×Dic3—31no—
695#239—24no—
696#239—38no—
697#239—68no—
698#239—68no—
699#239—64no—
700#239—68no—
701#239—64no—
702#239—64no—
703#239—64no—
704#239—124no—
705D3×Q8—24no—
706#237—68no—
707#237—64no—
708D3×D4—64no—
709D3×D4—64no—
710D3×D4—68no—
711D3×D4—68no—
712D3×D4—68no—
713D3×D4—68no—
714D3×D4—68no—
715D3×D4—68no—
716D3×D4—64no—
717D3×D4—124no—
718D3×D4—124no—
719D3×D4—124no—
720D3×D4—124no—
721D3×D4—124no—
722#235—24no—
723#235—24no—
724#235—38no—
725#235—68no—
726#235—68no—
727#235—64no—
728C2×D12—32no—
729C2×D12—31no—
730C2×D12—31no—
731C2×D12—32no—
732C2×D12—32no—
733C2×D12—32no—
734C2×D12—32no—
735C2×D12—32no—
736C2×D12—32no—
737C2×D12—31no—
738C2×D12—32no—
739C2×D12—32no—
740C2×D12—32no—
741C2×D12—32no—
742C2×D12—31no—
743C2×D12—32no—
744C2×D12—31no—
745C2×D12—32no—
746C2×D12—32no—
747C2×D12—32no—
748C2×D12—32no—
749C2×D12—61no—
750C2×D12—62no—
751C2×D12—62no—
752C2×D12—61no—
753C2×D12—62no—
754C2×D12—68no—
755C2×D12—64no—
756C2×D12—68no—
757C2×D12—64no—
758C2×D12—64no—
759C2×D12—64no—
760C2×D12—64no—
761C2×D12—124no—
762C2×D12—124no—
763C2×D12C22×D311yescharacteristic
764C2×D12C22×D312yes—
765C2×D12C22×D312yes—
766C2×D12C22×D311yescharacteristic
767C2×D12C22×D311yescharacteristic
768C2×D12C22×D312yes—
769C2×C4×D3—32no—
770C2×C4×D3—32no—
771C2×C4×D3—32no—
772C2×C4×D3—31no—
773C2×C4×D3—31no—
774C2×C4×D3—31no—
775C2×C4×D3—32no—
776C2×C4×D3—32no—
777C2×C4×D3—31no—
778C2×C4×D3—32no—
779C2×C4×D3—32no—
780C2×C4×D3—31no—
781C2×C4×D3—31no—
782C2×C4×D3—32no—
783C2×C4×D3—32no—
784C2×C4×D3—32no—
785C2×C4×D3—32no—
786C2×C4×D3—62no—
787C2×C4×D3—61no—
788C2×C4×D3—62no—
789C2×C4×D3—68no—
790C2×C4×D3—68no—
791C2×C4×D3—64no—
792C2×C4×D3—64no—
793C2×C4×D3C22×D311yescharacteristic
794C2×C4×D3C22×D312yes—
795C2×C4×D3C22×D312yes—
796C2×C4×D3C22×D312yes—
797C2×C4×D3C22×D311yescharacteristic
798C2×C4×D3C22×D312yes—
799C2×C4×D3C22×D311yescharacteristic
800C2×Dic6C22×D311yescharacteristic
801C2×Dic6C22×D312yes—
802C2×Dic6C22×D311yescharacteristic
803C3×C4⋊C4—21no—
804C3×C4⋊C4—22no—
805C3×C4⋊C4—31no—
806C3×C4⋊C4—32no—
807C3×C4⋊C4—32no—
808C3×C4⋊C4—32no—
809C3×C4⋊C4—31no—
810C3×C4⋊C4C22×D311yescharacteristic
811C3×C4⋊C4C22×D311yescharacteristic
812C3×C4⋊C4C22×D312yes—
813C3×C4⋊C4C22×D312yes—
814C3×C22⋊C4—22no—
815C3×C22⋊C4—31no—
816C3×C22⋊C4—31no—
817C3×C22⋊C4—32no—
818C3×C22⋊C4—32no—
819C3×C22⋊C4—32no—
820C3×C22⋊C4—32no—
821C3×C22⋊C4—32no—
822C3×C22⋊C4—32no—
823C3×C22⋊C4C22×D312yes—
824C3×C22⋊C4C22×D312yes—
825C3×C42—32no—
826C3×C42—31no—
827#217—31no—
828#217—31no—
829#217—31no—
830#217—32no—
831#217—31no—
832#217—31no—
833#217—31no—
834#217—31no—
835#217—61no—
836#217C22×D311yescharacteristic
837(C2×D3)⋊C4—31no—
838(C2×D3)⋊C4—31no—
839(C2×D3)⋊C4—31no—
840(C2×D3)⋊C4—32no—
841(C2×D3)⋊C4—31no—
842(C2×D3)⋊C4—31no—
843(C2×D3)⋊C4—32no—
844(C2×D3)⋊C4—32no—
845(C2×D3)⋊C4—32no—
846(C2×D3)⋊C4—32no—
847(C2×D3)⋊C4—32no—
848(C2×D3)⋊C4—32no—
849(C2×D3)⋊C4—32no—
850(C2×D3)⋊C4—32no—
851(C2×D3)⋊C4—31no—
852(C2×D3)⋊C4—31no—
853(C2×D3)⋊C4—32no—
854(C2×D3)⋊C4—31no—
855(C2×D3)⋊C4—32no—
856(C2×D3)⋊C4—32no—
857(C2×D3)⋊C4—31no—
858(C2×D3)⋊C4—32no—
859(C2×D3)⋊C4—62no—
860(C2×D3)⋊C4—62no—
861(C2×D3)⋊C4—62no—
862(C2×D3)⋊C4—62no—
863(C2×D3)⋊C4—61no—
864(C2×D3)⋊C4C22×D312yes—
865(C2×D3)⋊C4C22×D312yes—
866(C2×D3)⋊C4C22×D312yes—
867(C2×D3)⋊C4C22×D311yescharacteristic
868(C2×D3)⋊C4C22×D312yes—
869(C2×D3)⋊C4C22×D312yes—
870(C2×D3)⋊C4C22×D312yes—
871C4⋊Dic3—31no—
872C4⋊Dic3—32no—
873C4⋊Dic3—31no—
874C4⋊Dic3—31no—
875C4⋊Dic3C22×D311yescharacteristic
876Dic3⋊C4—31no—
877Dic3⋊C4—31no—
878Dic3⋊C4—31no—
879Dic3⋊C4—31no—
880Dic3⋊C4—31no—
881Dic3⋊C4—31no—
882Dic3⋊C4—32no—
883Dic3⋊C4—31no—
884Dic3⋊C4—61no—
885Dic3⋊C4C22×D312yes—
886Dic3⋊C4C22×D312yes—
887Dic3⋊C4C22×D311yescharacteristic
888Dic3⋊C4C22×D312yes—
889C4×Dic3—31no—
890C4×Dic3—31no—
891C4×Dic3—32no—
892C4×Dic3—32no—
893C4×Dic3—61no—
894C4×Dic3C22×D312yes—
895C4×Dic3C22×D311yescharacteristic
896C22×C32—21no—
897C22×C32—21no—
898C22×C32—21no—
899C22×C32C2511yescharacteristic
900C2×C3⋊D3—22no—
901C2×C3⋊D3—22no—
902C2×C3⋊D3—21no—
903C2×C3⋊D3—22no—
904C2×C3⋊D3—22no—
905C2×C3⋊D3—21no—
906C2×C3⋊D3—21no—
907C2×C3⋊D3—22no—
908C2×C3⋊D3—84no—
909C2×C3⋊D3C22×D414yes—
910C2×C3×D3—21no—
911C2×C3×D3—21no—
912C2×C3×D3—21no—
913C2×C3×D3—21no—
914C2×C3×D3—22no—
915C2×C3×D3—22no—
916C2×C3×D3—21no—
917C2×C3×D3—21no—
918C2×C3×D3—22no—
919C2×C3×D3—22no—
920C2×C3×D3—22no—
921C2×C3×D3—22no—
922C2×C3×D3—21no—
923C2×C3×D3C22×D412yes—
924C2×C3×D3H(5,𝔽2)12yescomplemented
925D32—44no—
926D32—48no—
927D32—84no—
928D32—84no—
929C32×C4—22no—
930C32×C4—21no—
931C32×C4—22no—
932C32×C4C22×D412yes—
933C3⋊Dic3—21no—
934C3⋊Dic3—21no—
935C3⋊Dic3—21no—
936C3×Dic3—21no—
937C3×Dic3—21no—
938C3×Dic3—21no—
939C3×Dic3—22no—
940C3×Dic3—21no—
941C3×Dic3C22×D412yes—
942C3×Dic3C22×D414yes—
943H(5,𝔽2)—188no—
944C2×#41—31no—
945C2×#41—31no—
946C2×#41—31no—
947C2×#41—91no—
948C2×#41—92no—
949C2×#41—92no—
950C2×#41—91no—
951C2×#41—92no—
952C2×#41—91no—
953C2×#41—91no—
954C2×#41—188no—
955C22×Q8—31no—
956C22×D4—91no—
957C22×D4—92no—
958C22×D4—91no—
959C22×D4—92no—
960C22×D4—91no—
961C22×D4—92no—
962C22×D4—92no—
963C22×D4—92no—
964C22×D4—92no—
965C22×D4—92no—
966C22×D4—91no—
967C23×C4—91no—
968C23×C4—92no—
969#127—91no—
970#127—92no—
971#127—92no—
972#127—91no—
973#124—31no—
974#124—32no—
975#124—92no—
976#124—91no—
977#123—92no—
978#123—91no—
979#123—91no—
980#123—92no—
981C22⋊Q8—31no—
982C22⋊Q8—32no—
983C22⋊Q8—32no—
984C22⋊Q8—91no—
985C22⋊Q8—91no—
986C22⋊Q8—92no—
987C22⋊Q8D3211yescharacteristic, complemented
988#121—31no—
989#121—31no—
990#121—32no—
991#121—31no—
992#121—32no—
993#121—32no—
994#121—32no—
995#121—92no—
996#121—92no—
997#121—92no—
998#121—92no—
999#121—92no—
1000#121—92no—
1001#121—92no—
1002#121—92no—
1003#121—92no—
1004#121—91no—
1005#121—91no—
1006#121—92no—
1007#121—91no—
1008#121—92no—
1009#121—91no—
1010#121—92no—
1011#121—91no—
1012#121—92no—
1013#120—92no—
1014#120—92no—
1015#120—91no—
1016#120—92no—
1017#120—92no—
1018#120—92no—
1019#120—92no—
1020#120—92no—
1021#120—91no—
1022#120—92no—
1023C4×Q8—31no—
1024C4×Q8—91no—
1025C4×D4—31no—
1026C4×D4—32no—
1027C4×D4—92no—
1028C4×D4—91no—
1029C4×D4—92no—
1030C4×D4—91no—
1031C4×D4—92no—
1032C4×D4—92no—
1033C4×D4—92no—
1034C4×D4—91no—
1035C4×D4—91no—
1036C4×D4—91no—
1037#117—92no—
1038#117—91no—
1039C2×C4⋊C4—31no—
1040C2×C4⋊C4—92no—
1041C2×C22⋊C4—92no—
1042C2×C22⋊C4—92no—
1043C2×C22⋊C4—92no—
1044C23×C3—21no—
1045C23×C3—31no—
1046C23×C3—31no—
1047C23×C3—31no—
1048C23×C3—32no—
1049C23×C3—32no—
1050C23×C3C23×D311yescharacteristic
1051C23×C3C23×D311yescharacteristic
1052C22×D3—32no—
1053C22×D3—32no—
1054C22×D3—32no—
1055C22×D3—32no—
1056C22×D3—31no—
1057C22×D3—31no—
1058C22×D3—62no—
1059C22×D3—62no—
1060C22×D3—61no—
1061C22×D3—64no—
1062C22×D3—64no—
1063C22×D3—64no—
1064C22×D3—64no—
1065C22×D3—62no—
1066C22×D3—62no—
1067C22×D3—64no—
1068C22×D3—64no—
1069C22×D3—64no—
1070C22×D3—64no—
1071C22×D3—62no—
1072C22×D3—62no—
1073C22×D3—64no—
1074C22×D3—64no—
1075C22×D3—124no—
1076C22×D3—122no—
1077C22×D3—121no—
1078C22×D3—121no—
1079C22×D3—122no—
1080C22×D3—122no—
1081C22×D3—122no—
1082C22×D3—122no—
1083C22×D3—122no—
1084C22×D3—122no—
1085C22×D3—122no—
1086C22×D3—122no—
1087C22×D3—122no—
1088C22×D3—122no—
1089C22×D3—122no—
1090C22×D3—122no—
1091C22×D3—122no—
1092C22×D3—124no—
1093C22×D3—242no—
1094C22×D3C23×D311yescharacteristic
1095C22×D3C23×D312yes—
1096C22×D3C23×D312yes—
1097C22×D3C23×D311yescharacteristic
1098C22×D3C23×D311yescharacteristic
1099C3×Q8—22no—
1100C3×Q8—22no—
1101C3×Q8—34no—
1102C3×Q8—42no—
1103C3×Q8—64no—
1104C3×Q8—62no—
1105C3×D4—62no—
1106C3×D4—64no—
1107C3×D4—64no—
1108C3×D4—62no—
1109C3×D4—64no—
1110C3×D4—62no—
1111C3×D4—62no—
1112C3×D4—62no—
1113C3×D4—62no—
1114C3×D4—122no—
1115C3×D4—122no—
1116C2×C3×C4—22no—
1117C2×C3×C4—22no—
1118C2×C3×C4—21no—
1119C2×C3×C4—21no—
1120C2×C3×C4—22no—
1121C2×C3×C4—22no—
1122C2×C3×C4—32no—
1123C2×C3×C4—31no—
1124C2×C3×C4—34no—
1125C2×C3×C4—32no—
1126C2×C3×C4—31no—
1127C2×C3×C4—31no—
1128C2×C3×C4—31no—
1129C2×C3×C4—31no—
1130C2×C3×C4—42no—
1131C2×C3×C4—64no—
1132C2×C3×C4—64no—
1133C2×C3×C4—64no—
1134C2×C3×C4—62no—
1135C2×C3×C4—62no—
1136C2×C3×C4—122no—
1137C2×C3×C4C23×D312yes—
1138C2×C3×C4C23×D311yescharacteristic
1139C2×C3×C4C23×D311yescharacteristic
1140C2×C3×C4C23×D312yes—
1141C2×C3×C4C23×D312yes—
1142C2×C3×C4C23×D312yes—
1143C2×C3×C4C23×D311yescharacteristic
1144C2×C3×C4C23×D311yescharacteristic
1145#67—22no—
1146#67—22no—
1147#67—24no—
1148#67—22no—
1149#67—38no—
1150#67—42no—
1151#67—64no—
1152#67—64no—
1153#67—64no—
1154#67—62no—
1155#67—62no—
1156#67—64no—
1157#67—64no—
1158#67—64no—
1159#67—122no—
1160#67—122no—
1161#67—121no—
1162#67—122no—
1163#67—122no—
1164#67—122no—
1165#67—122no—
1166#67—122no—
1167#67—121no—
1168#67—121no—
1169#67—122no—
1170C2×Dic3—31no—
1171C2×Dic3—31no—
1172C2×Dic3—31no—
1173C2×Dic3—31no—
1174C2×Dic3—31no—
1175C2×Dic3—31no—
1176C2×Dic3—61no—
1177C2×Dic3—61no—
1178C2×Dic3—61no—
1179C2×Dic3—62no—
1180C2×Dic3—62no—
1181C2×Dic3—64no—
1182C2×Dic3C23×D312yes—
1183C2×Dic3C23×D311yescharacteristic
1184C2×Dic3C23×D311yescharacteristic
1185C2×Dic3C23×D311yescharacteristic
1186C2×Dic3C23×D311yescharacteristic
1187C2×Dic3C23×D312yes—
1188C2×Dic3C23×D311yescharacteristic
1189D12—22no—
1190D12—24no—
1191D12—24no—
1192D12—22no—
1193D12—22no—
1194D12—38no—
1195D12—34no—
1196D12—34no—
1197D12—42no—
1198D12—64no—
1199D12—64no—
1200D12—64no—
1201D12—64no—
1202D12—64no—
1203D12—64no—
1204D12—64no—
1205D12—64no—
1206D12—64no—
1207D12—64no—
1208D12—64no—
1209D12—62no—
1210D12—62no—
1211D12—122no—
1212D12—124no—
1213D12—124no—
1214D12—122no—
1215D12—122no—
1216D12—122no—
1217D12—121no—
1218D12—122no—
1219D12—122no—
1220D12—242no—
1221C4×D3—22no—
1222C4×D3—22no—
1223C4×D3—24no—
1224C4×D3—24no—
1225C4×D3—24no—
1226C4×D3—38no—
1227C4×D3—38no—
1228C4×D3—42no—
1229C4×D3—62no—
1230C4×D3—64no—
1231C4×D3—64no—
1232C4×D3—64no—
1233C4×D3—62no—
1234C4×D3—64no—
1235C4×D3—62no—
1236C4×D3—62no—
1237C4×D3—62no—
1238C4×D3—62no—
1239C4×D3—64no—
1240C4×D3—122no—
1241C4×D3—124no—
1242C4×D3—122no—
1243C4×D3—122no—
1244C4×D3—122no—
1245C4×D3—122no—
1246C4×D3—242no—
1247C4×D3D3×D414yescomplemented
1248Dic6—22no—
1249Dic6—24no—
1250Dic6D3×D414yescomplemented
1251C2×C32—41no—
1252C2×C32C23×D411yescharacteristic
1253C2×C32C2×H(5,𝔽2)11yescharacteristic
1254C2×C32#58511yescharacteristic
1255C3⋊D3—24no—
1256C3⋊D3—41no—
1257C3⋊D3—42no—
1258C3×D3—22no—
1259C3×D3—22no—
1260C3×D3—42no—
1261C3×D3—41no—
1262C3×D3—42no—
1263C24—91no—
1264C24—92no—
1265C24—92no—
1266C24—92no—
1267C24—92no—
1268#41—64no—
1269#41—64no—
1270#41—64no—
1271#41—98no—
1272#41—188no—
1273#41—188no—
1274#41—184no—
1275#41—188no—
1276#41—184no—
1277#41—184no—
1278C2×Q8—31no—
1279C2×Q8—31no—
1280C2×Q8—32no—
1281C2×Q8—64no—
1282C2×Q8C2×D3211yescharacteristic
1283C2×D4—31no—
1284C2×D4—31no—
1285C2×D4—31no—
1286C2×D4—32no—
1287C2×D4—32no—
1288C2×D4—32no—
1289C2×D4—32no—
1290C2×D4—31no—
1291C2×D4—31no—
1292C2×D4—31no—
1293C2×D4—32no—
1294C2×D4—92no—
1295C2×D4—92no—
1296C2×D4—92no—
1297C2×D4—92no—
1298C2×D4—92no—
1299C2×D4—92no—
1300C2×D4—92no—
1301C2×D4—91no—
1302C2×D4—92no—
1303C2×D4—92no—
1304C2×D4—92no—
1305C2×D4—91no—
1306C2×D4—92no—
1307C2×D4—92no—
1308C2×D4—91no—
1309C2×D4—91no—
1310C2×D4—92no—
1311C2×D4—92no—
1312C2×D4—91no—
1313C2×D4—92no—
1314C2×D4—184no—
1315C2×D4—184no—
1316C2×D4—188no—
1317C2×D4—184no—
1318C2×D4—188no—
1319C2×D4—184no—
1320C2×D4—188no—
1321C2×D4—188no—
1322C2×D4—364no—
1323C2×D4—364no—
1324C2×D4—364no—
1325C22×C4—31no—
1326C22×C4—32no—
1327C22×C4—31no—
1328C22×C4—32no—
1329C22×C4—31no—
1330C22×C4—32no—
1331C22×C4—32no—
1332C22×C4—92no—
1333C22×C4—92no—
1334C22×C4—91no—
1335C22×C4—92no—
1336C22×C4—91no—
1337C22×C4—92no—
1338C22×C4—91no—
1339C22×C4—92no—
1340C22×C4—91no—
1341C22×C4—92no—
1342C22×C4—184no—
1343C22×C4—188no—
1344C22×C4C2×D3211yescharacteristic
1345C4⋊C4—32no—
1346C4⋊C4—31no—
1347C4⋊C4—32no—
1348C4⋊C4—31no—
1349C4⋊C4—32no—
1350C4⋊C4—91no—
1351C4⋊C4—92no—
1352C4⋊C4—91no—
1353C4⋊C4—91no—
1354C4⋊C4—91no—
1355C4⋊C4—91no—
1356C4⋊C4C2×D3211yescharacteristic
1357C4⋊C4C2×D3212yes—
1358C22⋊C4—31no—
1359C22⋊C4—32no—
1360C22⋊C4—32no—
1361C22⋊C4—32no—
1362C22⋊C4—31no—
1363C22⋊C4—32no—
1364C22⋊C4—32no—
1365C22⋊C4—32no—
1366C22⋊C4—92no—
1367C22⋊C4—92no—
1368C22⋊C4—91no—
1369C22⋊C4—91no—
1370C22⋊C4—92no—
1371C22⋊C4—91no—
1372C22⋊C4—91no—
1373C22⋊C4—91no—
1374C22⋊C4—91no—
1375C22⋊C4—91no—
1376C22⋊C4—92no—
1377C22⋊C4—92no—
1378C22⋊C4—92no—
1379C22⋊C4—92no—
1380C22⋊C4—91no—
1381C22⋊C4C2×D3212yes—
1382C42—32no—
1383C42—31no—
1384C42—92no—
1385C42—91no—
1386C22×C3—22no—
1387C22×C3—21no—
1388C22×C3—21no—
1389C22×C3—21no—
1390C22×C3—21no—
1391C22×C3—21no—
1392C22×C3—21no—
1393C22×C3—21no—
1394C22×C3—32no—
1395C22×C3—32no—
1396C22×C3—41no—
1397C22×C3—41no—
1398C22×C3—61no—
1399C22×C3—61no—
1400C22×C3—61no—
1401C22×C3—61no—
1402C22×C3—62no—
1403C22×C3—62no—
1404C22×C3—61no—
1405C22×C3—61no—
1406C22×C3—62no—
1407C22×C3—62no—
1408C22×C3—62no—
1409C22×C3—62no—
1410C22×C3—61no—
1411C22×C3C24×D311yescharacteristic
1412C22×C3C24×D311yescharacteristic
1413C2×D3—21no—
1414C2×D3—21no—
1415C2×D3—21no—
1416C2×D3—21no—
1417C2×D3—22no—
1418C2×D3—21no—
1419C2×D3—22no—
1420C2×D3—22no—
1421C2×D3—21no—
1422C2×D3—22no—
1423C2×D3—22no—
1424C2×D3—21no—
1425C2×D3—22no—
1426C2×D3—34no—
1427C2×D3—34no—
1428C2×D3—64no—
1429C2×D3—62no—
1430C2×D3—62no—
1431C2×D3—62no—
1432C2×D3—62no—
1433C2×D3—61no—
1434C2×D3—61no—
1435C2×D3—62no—
1436C2×D3—62no—
1437C2×D3—62no—
1438C2×D3—61no—
1439C2×D3—62no—
1440C2×D3—61no—
1441C2×D3—61no—
1442C2×D3—62no—
1443C2×D3—61no—
1444C2×D3—62no—
1445C2×D3—122no—
1446C2×D3—122no—
1447C2×D3—121no—
1448C2×D3—122no—
1449C2×D3—121no—
1450C2×D3—122no—
1451C2×D3—121no—
1452C2×D3—122no—
1453C2×D3—128no—
1454C2×D3—124no—
1455C2×D3—124no—
1456C2×D3—128no—
1457C2×D3—244no—
1458C2×D3—244no—
1459C2×D3—244no—
1460C2×D3—244no—
1461C2×D3—244no—
1462C2×D3—244no—
1463C2×D3—248no—
1464C2×D3C2×D3×D412yes—
1465C2×D3#100912yescomplemented
1466C3×C4—22no—
1467C3×C4—21no—
1468C3×C4—21no—
1469C3×C4—22no—
1470C3×C4—22no—
1471C3×C4—22no—
1472C3×C4—22no—
1473C3×C4—32no—
1474C3×C4—34no—
1475C3×C4—42no—
1476C3×C4—42no—
1477C3×C4—41no—
1478C3×C4—61no—
1479C3×C4—61no—
1480C3×C4—62no—
1481C3×C4—61no—
1482C3×C4—61no—
1483C3×C4C2×D3×D412yes—
1484C3×C4C2×D3×D412yes—
1485Dic3—21no—
1486Dic3—21no—
1487Dic3—21no—
1488Dic3—22no—
1489Dic3—21no—
1490Dic3—61no—
1491Dic3—61no—
1492Dic3—61no—
1493Dic3—61no—
1494Dic3—61no—
1495Dic3—61no—
1496Dic3—121no—
1497Dic3—121no—
1498Dic3—121no—
1499Dic3C2×D3×D414yes—
1500Dic3C2×D3×D412yes—
1501C32#348811yescharacteristic, complemented, Sylow
1502C23—31no—
1503C23—31no—
1504C23—32no—
1505C23—31no—
1506C23—32no—
1507C23—92no—
1508C23—92no—
1509C23—91no—
1510C23—184no—
1511C23—182no—
1512C23—182no—
1513C23—184no—
1514C23—184no—
1515C23—184no—
1516C23—184no—
1517C23—362no—
1518C23—362no—
1519C23—361no—
1520C23—362no—
1521C23—362no—
1522C23—362no—
1523C23—362no—
1524C23—362no—
1525C23C22×D3211yescharacteristic
1526Q8—22no—
1527Q8—34no—
1528Q8—64no—
1529Q8—62no—
1530D4—62no—
1531D4—64no—
1532D4—64no—
1533D4—62no—
1534D4—64no—
1535D4—62no—
1536D4—62no—
1537D4—62no—
1538D4—62no—
1539D4—98no—
1540D4—94no—
1541D4—122no—
1542D4—122no—
1543D4—184no—
1544D4—184no—
1545D4—184no—
1546D4—184no—
1547D4—184no—
1548D4—184no—
1549D4—184no—
1550D4—184no—
1551D4—182no—
1552D4—182no—
1553D4—362no—
1554D4—362no—
1555D4—362no—
1556D4—362no—
1557D4—361no—
1558D4—361no—
1559D4—362no—
1560D4—362no—
1561C2×C4—22no—
1562C2×C4—32no—
1563C2×C4—31no—
1564C2×C4—34no—
1565C2×C4—31no—
1566C2×C4—31no—
1567C2×C4—32no—
1568C2×C4—31no—
1569C2×C4—31no—
1570C2×C4—64no—
1571C2×C4—64no—
1572C2×C4—64no—
1573C2×C4—62no—
1574C2×C4—62no—
1575C2×C4—98no—
1576C2×C4—91no—
1577C2×C4—91no—
1578C2×C4—91no—
1579C2×C4—122no—
1580C2×C4—184no—
1581C2×C4—182no—
1582C2×C4—184no—
1583C2×C4—182no—
1584C2×C4—184no—
1585C2×C4—182no—
1586C2×C4—182no—
1587C2×C4—362no—
1588C2×C4—362no—
1589C2×C4C22×D3212yes—
1590C2×C4C22×D3212yes—
1591C2×C4C22×D3211yescharacteristic
1592C2×C4C22×D3211yescharacteristic
1593C2×C3—21no—
1594C2×C3—21no—
1595C2×C3—21no—
1596C2×C3—42no—
1597C2×C3—41no—
1598C2×C3—41no—
1599C2×C3—62no—
1600C2×C3—62no—
1601C2×C3—122no—
1602C2×C3—122no—
1603C2×C3—121no—
1604C2×C3C22×D3×D411yescharacteristic
1605C2×C3C22×D3×D411yescharacteristic
1606C2×C3C2×#100911yescharacteristic
1607C2×C3D3×H(5,𝔽2)11yescharacteristic
1608C2×C3#596811yescharacteristic
1609C2×C3#596811yescharacteristic
1610D3—22no—
1611D3—22no—
1612D3—42no—
1613D3—41no—
1614D3—42no—
1615D3—64no—
1616D3—64no—
1617D3—124no—
1618D3—121no—
1619D3—122no—
1620D3—121no—
1621D3—122no—
1622D3—242no—
1623D3—241no—
1624C22—21no—
1625C22—21no—
1626C22—21no—
1627C22—32no—
1628C22—32no—
1629C22—61no—
1630C22—61no—
1631C22—61no—
1632C22—61no—
1633C22—62no—
1634C22—62no—
1635C22—61no—
1636C22—62no—
1637C22—61no—
1638C22—62no—
1639C22—62no—
1640C22—61no—
1641C22—62no—
1642C22—94no—
1643C22—182no—
1644C22—182no—
1645C22—181no—
1646C22—182no—
1647C22—181no—
1648C22—182no—
1649C22—182no—
1650C22—181no—
1651C22—364no—
1652C22—368no—
1653C22—724no—
1654C22—724no—
1655C22—724no—
1656C22C23×D3211yescharacteristic
1657C4—21no—
1658C4—22no—
1659C4—22no—
1660C4—32no—
1661C4—34no—
1662C4—61no—
1663C4—61no—
1664C4—61no—
1665C4—62no—
1666C4—61no—
1667C4—181no—
1668C4—181no—
1669C4—181no—
1670C4D32×D412yes—
1671C3—21no—
1672C3#8637911yescharacteristic, complemented
1673C3#8671311yescharacteristic, complemented
1674C2—41no—
1675C2—62no—
1676C2—62no—
1677C2—122no—
1678C2—122no—
1679C2—121no—
1680C2—184no—
1681C2—361no—
1682C2—362no—
1683C2C2×D32×D411yescharacteristic
1684C2#1059668911yescharacteristic
1685C2D3×#100911yescharacteristic
subgroupG/H
center, FrattiniC22C23×D32
commutator, socle, cosocleC22×C32C25
FittingC32×C22⋊Q8C22
hypercenterC22⋊Q8D32
hypocenterC32#3488
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C22 ◁ C22⋊Q8

Complements

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

NH ≅ G/Ntype
1. C2×D3×#239C2semidirect
2. C2×#64308C2semidirect
3. #10596101C2semidirect
4. C3×#5633C2semidirect
5. C3×#5629C2semidirect
6. #10595431C2semidirect
7. #10595426C2semidirect
8. #10595402C2semidirect
9. #10595074C2semidirect
10. #10595060C2semidirect
11. #10595006C2semidirect
12. #10594623C2semidirect
13. #10594622C2semidirect
14. #10594621C2semidirect
15. #10594618C2semidirect
16. D3×#895C2semidirect
17. #10594524C2semidirect
18. #10594519C2semidirect
19. #10594327C2semidirect
20. #10594287C2semidirect
21. #10594285C2semidirect
22. #10594284C2semidirect
23. #10594265C2semidirect
26. C2×#3832C22semidirect
27. C22×C4⋊(C3⋊D3)C22semidirect
28. C2×C3×#239C22semidirect
29. C2×C3×D3×Q8C22semidirect
30. C2×C3×#235C22semidirect
31. C2×C3×#235C22semidirect
32. C2×#3811C22semidirect
33. C2×#3811C22semidirect
34. C2×#3811C22semidirect
37. C2×#3802C22semidirect
38. C2×D3×D12C22semidirect
39. C2×D3×D12C22semidirect
40. C2×D3×D12C22semidirect
41. C2×D3×D12C22semidirect
42. C2×D3×D12C22semidirect
43. C2×D3×D12C22semidirect
44. C2×C4×D32C22semidirect
45. C2×C4×D32C22semidirect
47. C2×#3799C22semidirect
48. C2×#3799C22semidirect
49. C2×#3799C22semidirect
50. C2×#3796C22semidirect
51. C2×#3796C22semidirect
52. C32×C22⋊Q8C22semidirect
53. #64156C22semidirect
54. C4×#638C22semidirect
55. #64104C22semidirect
56. #64104C22semidirect
57. #64103C22semidirect
58. #64102C22semidirect
59. #64091C22semidirect
60. C22⋊C4×C3⋊D3C22semidirect
61. C3×#947C22semidirect
62. C3×#946C22semidirect
63. C3×#930C22semidirect
64. C3×C4×#67C22semidirect
65. C3×#896C22semidirect
66. C3×#896C22semidirect
67. C3×#895C22semidirect
68. C3×#895C22semidirect
69. C3×#895C22semidirect
70. C3×#893C22semidirect
71. C3×D3×C4⋊C4C22semidirect
72. C3×#887C22semidirect
73. C3×#885C22semidirect
74. C3×#884C22semidirect
75. C3×#884C22semidirect
76. C3×#884C22semidirect
77. #63983C22semidirect
78. #63981C22semidirect
79. #63979C22semidirect
80. #63970C22semidirect
81. #63970C22semidirect
82. #63969C22semidirect
83. #63958C22semidirect
84. #63923C22semidirect
85. #63923C22semidirect
86. #63922C22semidirect
87. #63922C22semidirect
88. #63922C22semidirect
89. #63922C22semidirect
90. #63922C22semidirect
91. #63921C22semidirect
92. D3×(C2×D3)⋊C4C22semidirect
93. #63916C22semidirect
94. #63914C22semidirect
95. #63912C22semidirect
96. #63911C22semidirect
97. #63911C22semidirect
98. #63910C22semidirect
99. #63910C22semidirect
100. #63910C22semidirect
101. #63910C22semidirect
102. #63909C22semidirect
103. #63907C22semidirect
104. #63906C22semidirect
105. #63906C22semidirect
106. #63906C22semidirect
107. #63906C22semidirect
108. #63904C22semidirect
109. #63904C22semidirect
110. C4×#626C22semidirect
111. C4×#626C22semidirect
112. C4×#625C22semidirect
113. #63894C22semidirect
114. #63888C22semidirect
115. #63888C22semidirect
116. #63887C22semidirect
117. #63886C22semidirect
118. #63886C22semidirect
119. #63884C22semidirect
120. #63883C22semidirect
121. #63880C22semidirect
122. #63879C22semidirect
123. #63855C22semidirect
124. #63853C22semidirect
125. #63843C22semidirect
126. #63836C22semidirect
142. #5633D3semidirect
150. #5629D3semidirect
253. #3799D4semidirect
315. C2×#239C2×D3semidirect
316. C2×D3×Q8C2×D3semidirect
337. C2×#235C2×D3semidirect
338. C2×#235C2×D3semidirect
358. C3×C22⋊Q8C2×D3semidirect
359. C3×C22⋊Q8C2×D3semidirect
375. #947C2×D3semidirect
379. #946C2×D3semidirect
410. #930C2×D3semidirect
421. C4×#67C2×D3semidirect
426. #896C2×D3semidirect
427. #896C2×D3semidirect
442. #895C2×D3semidirect
443. #895C2×D3semidirect
444. #895C2×D3semidirect
456. #893C2×D3semidirect
460. D3×C4⋊C4C2×D3semidirect
462. #887C2×D3semidirect
464. #885C2×D3semidirect
476. #884C2×D3semidirect
477. #884C2×D3semidirect
478. #884C2×D3semidirect
549. C4⋊(C3⋊D3)C2×D4semidirect
577. C3×C4×D3C2×D4semidirect
580. C3×Dic6C2×D4semidirect
591. #626C2×D4semidirect
598. #624C2×D4semidirect
924. C2×C3×D3H(5,𝔽2)semidirect
987. C22⋊Q8D32semidirect
1247. C4×D3D3×D4semidirect
1250. Dic6D3×D4semidirect
1465. C2×D3#1009semidirect
1501. C32#3488semidirect
1672. C3#86379semidirect
1673. C3#86713semidirect

Maximal subgroups

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

subgroupindex
C2×D3×#2392
C2×#643082
#105961012
C3×#56332
C3×#56292
#105954312
#105954262
#105954022
#105950742
#105950602
#105950062
#105946232
#105946222
#105946212
#105946182
D3×#8952
#105945242
#105945192
#105943272
#105942872
#105942852
#105942842
#105942652
#867133
#863793