Finite Group Databasebeta

← #11904703

Subgroups — #11904703

Order 1152.

3463 conjugacy classes of subgroups.

The subgroup lattice has 1686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D3×#239C211yesmaximal, characteristic, complemented
2C2×#64307C211yesmaximal, characteristic, complemented
3#10596100C211yesmaximal, characteristic, complemented
4C3×#5633C211yesmaximal, characteristic, complemented
5C3×#5630C211yesmaximal, characteristic, complemented
6#10595433C211yesmaximal, characteristic, complemented
7#10595428C211yesmaximal, characteristic, complemented
8#10595401C211yesmaximal, characteristic, complemented
9#10595076C211yesmaximal, characteristic, complemented
10D12×#67C211yesmaximal, characteristic, complemented
11#10595007C211yesmaximal, characteristic, complemented
12#10594621C212yesmaximal, complemented
13#10594621C211yesmaximal, characteristic, complemented
14#10594620C212yesmaximal, complemented
15#10594614C212yesmaximal, complemented
16#10594612C211yesmaximal, characteristic, complemented
17#10594524C211yesmaximal, characteristic, complemented
18#10594368C212yesmaximal, complemented
19#10594361C211yesmaximal, characteristic, complemented
20#10594280C212yesmaximal, complemented
21#10594275C212yesmaximal, complemented
22#10594270C212yesmaximal, complemented
23D3×#884C212yesmaximal, complemented
24#86713—31nomaximal
25#86629—31nomaximal
26C2×#3832C2211yescharacteristic, complemented
27C2×#3828C2211yescharacteristic, complemented
28C2×C3×#239C2211yescharacteristic, complemented
29C2×C3×D3×Q8C2211yescharacteristic, complemented
30C2×C3×#235C2211yescharacteristic, complemented
31C22×C3×D12C2211yescharacteristic, complemented
32C2×D3×#67C2212yescomplemented
33C2×D3×#67C2212yescomplemented
34C2×D3×#67C2212yescomplemented
35D3×#239—28no—
36#64307—28no—
37C2×#3802C2211yescharacteristic, complemented
38C2×#3802C2211yescharacteristic, complemented
39C2×#3802C2212yescomplemented
40C2×D3×D12C2212yescomplemented
41C2×D3×D12C2212yescomplemented
42C2×D3×D12C2211yescharacteristic, complemented
43C2×D3×D12C2212yescomplemented
44C2×C4×D32C2211yescharacteristic, complemented
45C2×C4×D32C2212yescomplemented
46C2×#3799C2212yescomplemented
47C2×#3799C2211yescharacteristic, complemented
48C2×#3796C2211yescharacteristic
49C2×#3796C2211yescharacteristic, complemented
50C2×#3796C2212yescomplemented
51C2×#3795C2212yescomplemented
52C32×C22⋊Q8C2211yescharacteristic, complemented
53#64155C2211yescharacteristic, complemented
54#64139C2211yescharacteristic, complemented
55#64105C2212yescomplemented
56#64104C2212yescomplemented
57#64104C2211yescharacteristic, complemented
58C4⋊C4×C3⋊D3C2211yescharacteristic, complemented
59#64093C2212yescomplemented
60#64093C2212yescomplemented
61C3×#947C2211yescharacteristic, complemented
62C3×#947C2211yescharacteristic, complemented
63C3×C4×#67C2211yescharacteristic, complemented
64C3×C4×#67C2211yescharacteristic, complemented
65C3×#896C2212yescomplemented
66C3×#895C2211yescharacteristic, complemented
67C3×#895C2211yescharacteristic, complemented
68C3×#895C2212yescomplemented
69C3×#894C2212yescomplemented
70C3×#893C2212yescomplemented
71C3×#893C2211yescharacteristic, complemented
72C3×#887C2211yescharacteristic, complemented
73C3×#885C2212yescomplemented
74C3×#884C2212yescomplemented
75C3×#882C2212yescomplemented
76C3×D3×C22⋊C4C2212yescomplemented
77#63983C2211yescharacteristic, complemented
78#63979C2212yescomplemented
79#63977C2212yescomplemented
80#63975C2211yescharacteristic, complemented
81#63971C2211yescharacteristic, complemented
82#63971C2211yescharacteristic, complemented
83#63958C2212yescomplemented
84#63923C2211yescharacteristic, complemented
85#63923C2212yescomplemented
86#63923C2212yescomplemented
87#63923C2212yescomplemented
88#63922C2212yescomplemented
89#63922C2212yescomplemented
90#63922C2212yescomplemented
91#63921C2212yescomplemented
92D3×(C2×D3)⋊C4C2212yescomplemented
93#63912C2212yescomplemented
94#63912C2212yescomplemented
95#63911C2211yescharacteristic, complemented
96#63911C2212yescomplemented
97#63911C2211yescharacteristic, complemented
98#63910C2212yescomplemented
99#63908C2211yescharacteristic, complemented
100#63908C2211yescharacteristic, complemented
101#63907C2212yescomplemented
102#63906C2212yescomplemented
103#63906C2212yescomplemented
104#63906C2212yescomplemented
105#63905C2212yescomplemented
106#63904C2212yescomplemented
107C4×#626C2211yescharacteristic, complemented
108C4×#626C2211yescharacteristic, complemented
109C4×#626C2212yescomplemented
110#63897C2211yescharacteristic, complemented
111#63896C2211yescharacteristic, complemented
112#63896C2211yescharacteristic, complemented
113Dic3×D12C2211yescharacteristic, complemented
114#63887C2212yescomplemented
115#63886C2212yescomplemented
116#63886C2212yescomplemented
117#63885C2212yescomplemented
118#63885C2212yescomplemented
119#63885C2212yescomplemented
120#63881C2212yescomplemented
121#63880C2212yescomplemented
122#63879C2212yescomplemented
123#63877C2212yescomplemented
124D3×Dic3⋊C4C2212yescomplemented
125#63874C2211yescharacteristic, complemented
126Dic3×Dic6C2211yescharacteristic, complemented
127C2×#1009—31no—
128C2×D3×#41—31no—
129C22×#239—31no—
130C2×#1004—31no—
131C3×#548—31no—
132C3×#546—31no—
133#5834—31no—
134#5829—31no—
135#5817—31no—
136D4×#67—31no—
137#5677—31no—
138#5676—31no—
139#5676—32no—
140#5674—31no—
141#5674—31no—
142#5674—32no—
143#5656—32no—
144#5654—32no—
145#5633D311yescharacteristic, complemented
146#5630—32no—
147#5630D311yescharacteristic, complemented
148#5629—31no—
149#5629—31no—
150#5629—32no—
151#5629—61no—
152#5609—32no—
153#5609—31no—
154#5609—32no—
155D3×#121—31no—
156D3×#121—31no—
157D3×#121—32no—
158#5599—31no—
159#5597—32no—
160#5592—32no—
161#5590—32no—
162#5577—31no—
163#5574—31no—
164#5553—31no—
165D4×D12—31no—
166D4×D12—31no—
167D4×D12—32no—
168#5547—31no—
169#5547—31no—
170#5547—32no—
171#5546—31no—
172#5490—32no—
173C2×#884—32no—
174C23×C3×D3C2312yes—
175C22×D32C2312yes—
176C22×D32C2311yescharacteristic
177C22×D32C2312yes—
178C22×D32C2312yes—
179C2×C32×Q8C2311yescharacteristic
180C22×C32×C4C2311yescharacteristic
181C2×#638C2311yescharacteristic
182C2×#638C2311yescharacteristic
183C2×#638C2312yes—
184#3832—24no—
185#3828—24no—
186C2×C4⋊(C3⋊D3)C2312yes—
187C2×C4⋊(C3⋊D3)C2311yescharacteristic
188C2×C4⋊(C3⋊D3)C2311yescharacteristic
189C2×C4⋊(C3⋊D3)C2312yes—
190C2×C4×C3⋊D3C2312yes—
191C2×C4×C3⋊D3C2311yescharacteristic
192C2×C4×C3⋊D3C2312yes—
193C2×C4×C3⋊D3C2311yescharacteristic
194C2×#634C2311yescharacteristic
195C2×C3×#67C2311yescharacteristic
196C2×C3×#67C2312yes—
197C2×C3×#67C2311yescharacteristic
198C3×#239—24no—
199C3×D3×Q8—24no—
200C3×#235—24no—
201C2×C3×D12—24no—
202C2×C3×D12C2312yes—
203C2×C3×D12C2312yes—
204C2×C3×D12C2312yes—
205C2×C3×D12C2311yescharacteristic
206C2×C3×D12C2311yescharacteristic
207C2×C3×D12C2312yes—
208C2×C3×D12C2311yescharacteristic
209C2×C3×C4×D3C2312yes—
210C2×C3×C4×D3C2312yes—
211C2×C3×C4×D3C2312yes—
212C2×C3×C4×D3C2311yescharacteristic
213C2×C3×C4×D3C2311yescharacteristic
214C2×C3×C4×D3C2312yes—
215C2×C3×Dic6C2312yes—
216C2×C3×Dic6C2311yescharacteristic
217D3×#67—28no—
218D3×#67—28no—
219D3×#67—44no—
220C2×#626C2312yes—
221C2×#626C2312yes—
222C2×#626C2312yes—
223C2×#626C2311yescharacteristic
224C2×#626C2312yes—
225C2×#626C2312yes—
226C2×#626C2312yes—
227C2×#626C2311yescharacteristic
228C2×#626C2312yes—
229C2×#626C2312yes—
230C2×#625C2312yes—
231C2×#625C2312yes—
232C2×#625C2312yes—
233C2×#625C2312yes—
234C2×#624C2312yes—
235C2×#624C2311yescharacteristic
236C2×D3×Dic3C2312yes—
237C2×D3×Dic3C2311yescharacteristic
238C2×D3×Dic3C2311yescharacteristic
239C2×D3×Dic3C2312yes—
240C2×D3×Dic3C2312yes—
241#3802—24no—
242#3802—24no—
243#3802—44no—
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#3796—24no—
253#3796—28no—
254#3796D418yescomplemented
255#3795—28no—
256C32×C4⋊C4C2311yescharacteristic
257C32×C4⋊C4C2312yes—
258C32×C22⋊C4C2312yes—
259#3752C2312yes—
260#3752C2312yes—
261#3752C2312yes—
262C4⋊(C3⋊Dic3)C2311yescharacteristic
263#3750C2312yes—
264#3750C2312yes—
265C3×#217C2311yescharacteristic
266C3×#217C2311yescharacteristic
267C3×(C2×D3)⋊C4C2312yes—
268C3×(C2×D3)⋊C4C2312yes—
269C3×(C2×D3)⋊C4C2312yes—
270C3×(C2×D3)⋊C4C2312yes—
271C3×(C2×D3)⋊C4C2312yes—
272C3×(C2×D3)⋊C4C2312yes—
273C3×(C2×D3)⋊C4C2312yes—
274C3×(C2×D3)⋊C4C2311yescharacteristic
275C3×(C2×D3)⋊C4C2311yescharacteristic
276C3×Dic3⋊C4C2312yes—
277C3×Dic3⋊C4C2311yescharacteristic
278C3×Dic3⋊C4C2311yescharacteristic
279C3×C4×Dic3C2312yes—
280C3×C4×Dic3C2311yescharacteristic
281C3×C4×Dic3C2311yescharacteristic
282#3724C2311yescharacteristic
283#3724C2311yescharacteristic
284Dic3⋊Dic3C2312yes—
285Dic3⋊Dic3C2311yescharacteristic
286Dic3⋊Dic3C2311yescharacteristic
287#3722C2311yescharacteristic
288#3722C2311yescharacteristic
289#3722C2311yescharacteristic
290#3722C2311yescharacteristic
291(C2×D3)⋊Dic3C2312yes—
292(C2×D3)⋊Dic3C2311yescharacteristic
293(C2×D3)⋊Dic3C2311yescharacteristic
294(C2×D3)⋊Dic3C2312yes—
295(C2×D3)⋊Dic3C2312yes—
296Dic32C2312yes—
297#3488—91noSylow
298C2×C3×#41—31no—
299C2×C3×#41—31no—
300C22×C3×Q8—31no—
301C22×C3×D4—31no—
302C22×#67—32no—
303C22×#67—32no—
304C22×#67—32no—
305#1009—68no—
306D3×#41—68no—
307C2×#239—31no—
308C2×#239—31no—
309C2×#239—31no—
310C2×#239—32no—
311C2×#239—31no—
312C2×#239—32no—
313C2×#239—31no—
314C2×#239—61no—
315C2×#239—68no—
316C2×#239C2×D311yescharacteristic, complemented
317C2×D3×Q8C2×D311yescharacteristic, complemented
318#1004—68no—
319C2×#237—32no—
320C2×#237—31no—
321C2×#237—31no—
322C2×#237—32no—
323C2×D3×D4—32no—
324C2×D3×D4—32no—
325C2×D3×D4—32no—
326C2×D3×D4—31no—
327C2×D3×D4—31no—
328C2×D3×D4—31no—
329C2×D3×D4—31no—
330C2×D3×D4—32no—
331C2×D3×D4—32no—
332C2×D3×D4—32no—
333C2×D3×D4—31no—
334C2×D3×D4—32no—
335C2×D3×D4—32no—
336C2×#235—31no—
337C2×#235—31no—
338C2×#235—32no—
339C2×#235—32no—
340C2×#235—31no—
341C2×#235—61no—
342C2×#235C2×D311yescharacteristic, complemented
343C22×D12—32no—
344C22×D12—31no—
345C22×D12—32no—
346C22×D12—32no—
347C22×D12C2×D311yescharacteristic, complemented
348C22×C4×D3—32no—
349C22×C4×D3—32no—
350C22×C4×D3—31no—
351C22×C4×D3—31no—
352C3×#124—31no—
353C3×#124—31no—
354C3×#124—32no—
355C3×#123—32no—
356C3×C22⋊Q8—21no—
357C3×C22⋊Q8—32no—
358C3×C22⋊Q8C2×D311yescharacteristic, complemented
359C3×C22⋊Q8C2×D311yescharacteristic, complemented
360C3×#121—32no—
361C3×#121—31no—
362C3×#121—31no—
363C3×#121—32no—
364C3×#120—32no—
365C3×C4×Q8—31no—
366C3×C4×D4—31no—
367C3×C4×D4—31no—
368C3×C4×D4—31no—
369C3×C4×D4—32no—
370C2×C3×C22⋊C4—32no—
371#953—32no—
372#947—32no—
373#947C2×D311yescharacteristic, complemented
374#947C2×D311yescharacteristic, complemented
375#946—31no—
376#946—31no—
377#946—32no—
378#946—61no—
379Q8×Dic3—31no—
380#940—32no—
381#940—32no—
382#940—31no—
383#940—31no—
384#940—32no—
385#939—31no—
386#939—31no—
387#939—32no—
388#939—32no—
389#939—32no—
390#939—32no—
391#939—32no—
392#938—31no—
393#938—31no—
394#938—32no—
395#937—31no—
396#937—31no—
397#937—32no—
398#937—32no—
399#937—32no—
400D4×Dic3—31no—
401#930—31no—
402#930—31no—
403#930—31no—
404#930—31no—
405#930—32no—
406#930—32no—
407#930—32no—
408#930—61no—
409#929—32no—
410C4×#67—32no—
411C4×#67—32no—
412C4×#67—32no—
413C4×#67—31no—
414C4×#67—31no—
415C4×#67C2×D311yescharacteristic, complemented
416C4×#67C2×D311yescharacteristic, complemented
417C2×(C2×D3)⋊C4—32no—
418C2×Dic3⋊C4—32no—
419#896—32no—
420#896—32no—
421#896—31no—
422#896—31no—
423#896—62no—
424#896C2×D312yescomplemented
425#895—32no—
426#895—32no—
427#895—32no—
428#895—31no—
429#895—32no—
430#895—31no—
431#895—32no—
432#895—62no—
433#895—61no—
434#895C2×D311yescharacteristic, complemented
435#895C2×D312yescomplemented
436#895C2×D311yescharacteristic, complemented
437#894—31no—
438#894—31no—
439#894C2×D312yescomplemented
440#893—32no—
441#893—32no—
442#893C2×D312yescomplemented
443#893C2×D311yescharacteristic, complemented
444D3×C4⋊C4—32no—
445D3×C4⋊C4—31no—
446D3×C4⋊C4—31no—
447D3×C4⋊C4—61no—
448#887C2×D311yescharacteristic, complemented
449#885—32no—
450#885C2×D312yescomplemented
451#884—31no—
452#884—31no—
453#884—32no—
454#884—32no—
455#884—32no—
456#884—32no—
457#884—32no—
458#884—32no—
459#884—32no—
460#884—32no—
461#884—32no—
462#884—32no—
463#884—32no—
464#884—32no—
465#884—32no—
466#884—32no—
467#884—32no—
468#884—32no—
469#884—62no—
470#884—62no—
471#884C2×D312yescomplemented
472#883—32no—
473#883—31no—
474#883—31no—
475#882—32no—
476#882—32no—
477#882—32no—
478#882—32no—
479#882—32no—
480#882—32no—
481#882—32no—
482#882—32no—
483#882—32no—
484#882—32no—
485#882—31no—
486#882—31no—
487#882C2×D312yescomplemented
488#67⋊C4—32no—
489#67⋊C4—32no—
490#67⋊C4—32no—
491D3×C22⋊C4—32no—
492D3×C22⋊C4—32no—
493D3×C22⋊C4—32no—
494D3×C22⋊C4C2×D312yescomplemented
495#878—32no—
496#878—31no—
497#878—31no—
498#877—32no—
499#874—31no—
500#874—32no—
501#874—31no—
502C4×D12—31no—
503C4×D12—31no—
504C4×D12—32no—
505C4×D12—31no—
506C4×D12—32no—
507#872—32no—
508#872—31no—
509#872—31no—
510C4×Dic6—31no—
511C23×C32C2411yescharacteristic
512C22×C3⋊D3C2411yescharacteristic
513C22×C3⋊D3C2412yes—
514C22×C3⋊D3C2411yescharacteristic
515C22×C3×D3—24no—
516C22×C3×D3—42no—
517C22×C3×D3—42no—
518C22×C3×D3C2412yes—
519C22×C3×D3C2412yes—
520C22×C3×D3C2411yescharacteristic
521C22×C3×D3C2412yes—
522C22×C3×D3C2411yescharacteristic
523C2×D32—22no—
524C2×D32—24no—
525C2×D32—24no—
526C2×D32—22no—
527C2×D32—24no—
528C2×D32—24no—
529C2×D32—42no—
530C2×D32—41no—
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—22no—
542#638—22no—
543#638—42no—
544C2×C3⋊Dic3C2412yes—
545C2×C3⋊Dic3C2411yescharacteristic
546C2×C3⋊Dic3C2411yescharacteristic
547C4⋊(C3⋊D3)—24no—
548C4⋊(C3⋊D3)—22no—
549C4⋊(C3⋊D3)—22no—
550C4⋊(C3⋊D3)—42no—
551C4×C3⋊D3—22no—
552C4×C3⋊D3—24no—
553C4×C3⋊D3—42no—
554C4×C3⋊D3C2×D414yescomplemented
555#634—22no—
556C3×#67—22no—
557C3×#67—24no—
558C3×#67—41no—
559C2×C3×Dic3C2411yescharacteristic
560C2×C3×Dic3C2411yescharacteristic
561C2×C3×Dic3C2411yescharacteristic
562C2×C3×Dic3C2411yescharacteristic
563C2×C3×Dic3C2411yescharacteristic
564C2×C3×Dic3C2411yescharacteristic
565C2×C3×Dic3C2412yes—
566C3×D12—24no—
567C3×D12—24no—
568C3×D12—24no—
569C3×D12—22no—
570C3×D12—22no—
571C3×D12—42no—
572C3×D12C2×D414yescomplemented
573C3×C4×D3—24no—
574C3×C4×D3—22no—
575C3×C4×D3—22no—
576C3×C4×D3—24no—
577C3×C4×D3—24no—
578C3×C4×D3—42no—
579C3×Dic6—24no—
580C3×Dic6C2×D414yescomplemented
581#626—24no—
582#626—22no—
583#626—24no—
584#626—24no—
585#626—42no—
586#626—41no—
587#626—42no—
588#626—42no—
589#626—42no—
590#626C2×D418yescomplemented
591#625—24no—
592#625—24no—
593#625—24no—
594#625—42no—
595#624—22no—
596#624—24no—
597D3×Dic3—22no—
598D3×Dic3—22no—
599D3×Dic3—24no—
600D3×Dic3—42no—
601D3×Dic3C2×D418yescomplemented
602C2×H(5,𝔽2)—91no—
603C22×#41—91no—
604#550—91no—
605#550—91no—
606#548—31no—
607#548—91no—
608#546—31no—
609#546—92no—
610#546—92no—
611#546—91no—
612D42—91no—
613D42—92no—
614D42—91no—
615D42—92no—
616#537—92no—
617#537—91no—
618#535—92no—
619#535—91no—
620#525—91no—
621#525—92no—
622C2×#121—92no—
623C2×#121—91no—
624#520—91no—
625C24×C3—32no—
626C23×D3—31no—
627C23×D3—32no—
628C23×D3—32no—
629C23×D3—31no—
630C23×D3—32no—
631C23×D3—32no—
632C23×D3—32no—
633C23×D3—32no—
634C23×D3C22×D312yes—
635C3×#41—64no—
636C3×#41—64no—
637C2×C3×Q8—21no—
638C2×C3×Q8—31no—
639C2×C3×Q8—32no—
640C2×C3×Q8—64no—
641C2×C3×Q8C22×D311yescharacteristic
642C2×C3×Q8C22×D311yescharacteristic
643C2×C3×D4—31no—
644C2×C3×D4—32no—
645C2×C3×D4—31no—
646C2×C3×D4—31no—
647C2×C3×D4—32no—
648C2×C3×D4—32no—
649C2×C3×D4—32no—
650C2×C3×D4—31no—
651C2×C3×D4—31no—
652C2×C3×D4—32no—
653C2×C3×D4—64no—
654C22×C3×C4—21no—
655C22×C3×C4—32no—
656C22×C3×C4—32no—
657C22×C3×C4—31no—
658C22×C3×C4—31no—
659C22×C3×C4—32no—
660C22×C3×C4—32no—
661C22×C3×C4C22×D311yescharacteristic
662C22×C3×C4C22×D311yescharacteristic
663C2×#67—31no—
664C2×#67—31no—
665C2×#67—31no—
666C2×#67—31no—
667C2×#67—32no—
668C2×#67—32no—
669C2×#67—32no—
670C2×#67—32no—
671C2×#67—32no—
672C2×#67—32no—
673C2×#67—32no—
674C2×#67—32no—
675C2×#67—32no—
676C2×#67—32no—
677C2×#67—32no—
678C2×#67—31no—
679C2×#67—32no—
680C2×#67—32no—
681C2×#67—32no—
682C2×#67—32no—
683C2×#67—32no—
684C2×#67—32no—
685C2×#67—32no—
686C2×#67—31no—
687C2×#67—61no—
688C2×#67—61no—
689C2×#67—62no—
690C2×#67—68no—
691C2×#67—68no—
692C2×#67—124no—
693C2×#67C22×D311yescharacteristic
694C2×#67C22×D312yes—
695C2×#67C22×D311yescharacteristic
696C22×Dic3—32no—
697C22×Dic3—32no—
698C22×Dic3—31no—
699C22×Dic3—31no—
700C22×Dic3—32no—
701#239—24no—
702#239—38no—
703#239—68no—
704#239—64no—
705#239—68no—
706#239—64no—
707#239—64no—
708#239—64no—
709#239—124no—
710D3×Q8—24no—
711#237—38no—
712#237—68no—
713#237—68no—
714#237—64no—
715D3×D4—68no—
716D3×D4—68no—
717D3×D4—64no—
718D3×D4—64no—
719D3×D4—64no—
720D3×D4—68no—
721D3×D4—64no—
722D3×D4—68no—
723D3×D4—64no—
724D3×D4—124no—
725D3×D4—124no—
726D3×D4—124no—
727D3×D4—124no—
728#235—24no—
729#235—68no—
730#235—68no—
731#235—64no—
732#235—64no—
733#235—64no—
734#235—124no—
735C2×D12—24no—
736C2×D12—32no—
737C2×D12—31no—
738C2×D12—32no—
739C2×D12—32no—
740C2×D12—32no—
741C2×D12—31no—
742C2×D12—31no—
743C2×D12—32no—
744C2×D12—32no—
745C2×D12—31no—
746C2×D12—31no—
747C2×D12—31no—
748C2×D12—32no—
749C2×D12—32no—
750C2×D12—32no—
751C2×D12—32no—
752C2×D12—32no—
753C2×D12—32no—
754C2×D12—62no—
755C2×D12—61no—
756C2×D12—61no—
757C2×D12—62no—
758C2×D12—68no—
759C2×D12—68no—
760C2×D12—64no—
761C2×D12—124no—
762C2×D12C22×D311yescharacteristic
763C2×D12C22×D311yescharacteristic
764C2×D12C22×D312yes—
765C2×D12C22×D312yes—
766C2×D12C22×D312yes—
767C2×D12C22×D312yes—
768C2×D12C22×D311yescharacteristic
769C2×C4×D3—32no—
770C2×C4×D3—31no—
771C2×C4×D3—31no—
772C2×C4×D3—32no—
773C2×C4×D3—31no—
774C2×C4×D3—31no—
775C2×C4×D3—31no—
776C2×C4×D3—31no—
777C2×C4×D3—32no—
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—61no—
787C2×C4×D3—62no—
788C2×C4×D3—61no—
789C2×C4×D3—62no—
790C2×C4×D3—68no—
791C2×C4×D3—64no—
792C2×C4×D3—64no—
793C2×C4×D3—68no—
794C2×C4×D3C22×D311yescharacteristic
795C2×C4×D3C22×D311yescharacteristic
796C2×C4×D3C22×D312yes—
797C2×C4×D3C22×D312yes—
798C2×C4×D3C22×D312yes—
799C2×C4×D3C22×D312yes—
800C2×Dic6—31no—
801C2×Dic6—31no—
802C2×Dic6—61no—
803C2×Dic6C22×D312yes—
804C2×Dic6C22×D311yescharacteristic
805C3×C4⋊C4—21no—
806C3×C4⋊C4—22no—
807C3×C4⋊C4—32no—
808C3×C4⋊C4—31no—
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—31no—
819C3×C22⋊C4—32no—
820C3×C22⋊C4—31no—
821C3×C22⋊C4—32no—
822C3×C22⋊C4—32no—
823C3×C22⋊C4—32no—
824C3×C22⋊C4—32no—
825C3×C22⋊C4—32no—
826C3×C22⋊C4C22×D312yes—
827C3×C22⋊C4C22×D312yes—
828C3×C42—31no—
829C3×C42—32no—
830C3×C42—31no—
831#217—32no—
832#217—32no—
833#217—31no—
834#217—31no—
835#217—32no—
836#217C22×D311yescharacteristic
837#217C22×D311yescharacteristic
838(C2×D3)⋊C4—32no—
839(C2×D3)⋊C4—31no—
840(C2×D3)⋊C4—31no—
841(C2×D3)⋊C4—32no—
842(C2×D3)⋊C4—32no—
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—31no—
850(C2×D3)⋊C4—31no—
851(C2×D3)⋊C4—31no—
852(C2×D3)⋊C4—31no—
853(C2×D3)⋊C4—31no—
854(C2×D3)⋊C4—31no—
855(C2×D3)⋊C4—31no—
856(C2×D3)⋊C4—31no—
857(C2×D3)⋊C4—62no—
858(C2×D3)⋊C4—62no—
859(C2×D3)⋊C4—62no—
860(C2×D3)⋊C4C22×D312yes—
861(C2×D3)⋊C4C22×D312yes—
862(C2×D3)⋊C4C22×D312yes—
863(C2×D3)⋊C4C22×D312yes—
864(C2×D3)⋊C4C22×D312yes—
865(C2×D3)⋊C4C22×D312yes—
866(C2×D3)⋊C4C22×D312yes—
867(C2×D3)⋊C4C22×D311yescharacteristic
868(C2×D3)⋊C4C22×D311yescharacteristic
869C4⋊Dic3—31no—
870C4⋊Dic3—31no—
871C4⋊Dic3—31no—
872C4⋊Dic3—31no—
873C4⋊Dic3—32no—
874C4⋊Dic3—61no—
875Dic3⋊C4—32no—
876Dic3⋊C4—32no—
877Dic3⋊C4—32no—
878Dic3⋊C4—32no—
879Dic3⋊C4—32no—
880Dic3⋊C4—31no—
881Dic3⋊C4—31no—
882Dic3⋊C4—31no—
883Dic3⋊C4—31no—
884Dic3⋊C4—31no—
885Dic3⋊C4—31no—
886Dic3⋊C4—62no—
887Dic3⋊C4—62no—
888Dic3⋊C4C22×D311yescharacteristic
889Dic3⋊C4C22×D311yescharacteristic
890Dic3⋊C4C22×D312yes—
891C4×Dic3—32no—
892C4×Dic3—32no—
893C4×Dic3C22×D311yescharacteristic
894C4×Dic3C22×D311yescharacteristic
895C4×Dic3C22×D312yes—
896C22×C32—21no—
897C22×C32—21no—
898C22×C32—21no—
899C22×C32C2511yescharacteristic
900C2×C3⋊D3—21no—
901C2×C3⋊D3—21no—
902C2×C3⋊D3—22no—
903C2×C3⋊D3—21no—
904C2×C3⋊D3—21no—
905C2×C3⋊D3—22no—
906C2×C3⋊D3—22no—
907C2×C3⋊D3—21no—
908C2×C3⋊D3C22×D412yes—
909C2×C3×D3—21no—
910C2×C3×D3—22no—
911C2×C3×D3—21no—
912C2×C3×D3—22no—
913C2×C3×D3—22no—
914C2×C3×D3—21no—
915C2×C3×D3—22no—
916C2×C3×D3—22no—
917C2×C3×D3—21no—
918C2×C3×D3—22no—
919C2×C3×D3—21no—
920C2×C3×D3—22no—
921C2×C3×D3—22no—
922C2×C3×D3—84no—
923C2×C3×D3C22×D414yes—
924C2×C3×D3H(5,𝔽2)12yescomplemented
925D32—48no—
926D32—44no—
927D32—84no—
928D32—84no—
929C32×C4—22no—
930C32×C4—21no—
931C32×C4—22no—
932C32×C4C22×D412yes—
933C3⋊Dic3—21no—
934C3⋊Dic3—22no—
935C3⋊Dic3C22×D412yes—
936C3×Dic3—21no—
937C3×Dic3—21no—
938C3×Dic3—21no—
939C3×Dic3—21no—
940C3×Dic3—21no—
941C3×Dic3—21no—
942C3×Dic3C22×D414yes—
943H(5,𝔽2)—188no—
944C2×#41—31no—
945C2×#41—31no—
946C2×#41—92no—
947C2×#41—92no—
948C2×#41—91no—
949C2×#41—91no—
950C2×#41—92no—
951C2×#41—91no—
952C2×#41—91no—
953C2×#41—91no—
954C2×#41—188no—
955C22×Q8—31no—
956C22×D4—31no—
957C22×D4—91no—
958C22×D4—92no—
959C22×D4—92no—
960C22×D4—92no—
961C22×D4—91no—
962C22×D4—91no—
963C22×D4—92no—
964C22×D4—92no—
965C22×D4—92no—
966C22×D4—92no—
967C23×C4—92no—
968C23×C4—91no—
969#127—91no—
970#127—91no—
971#127—92no—
972#127—92no—
973#124—31no—
974#124—31no—
975#124—32no—
976#124—92no—
977#123—32no—
978#123—91no—
979#123—92no—
980#123—91no—
981C22⋊Q8—32no—
982C22⋊Q8—91no—
983C22⋊Q8—91no—
984C22⋊Q8—92no—
985C22⋊Q8—91no—
986C22⋊Q8—92no—
987C22⋊Q8D3211yescharacteristic, complemented
988#121—31no—
989#121—31no—
990#121—32no—
991#121—32no—
992#121—92no—
993#121—92no—
994#121—92no—
995#121—92no—
996#121—92no—
997#121—92no—
998#121—91no—
999#121—92no—
1000#121—92no—
1001#121—92no—
1002#121—91no—
1003#121—92no—
1004#121—92no—
1005#121—92no—
1006#121—91no—
1007#121—91no—
1008#121—91no—
1009#121—92no—
1010#121—91no—
1011#121—92no—
1012#121—92no—
1013#120—32no—
1014#120—91no—
1015#120—92no—
1016#120—92no—
1017#120—92no—
1018#120—92no—
1019#120—92no—
1020#120—92no—
1021#120—92no—
1022#120—91no—
1023C4×Q8—31no—
1024C4×Q8—91no—
1025C4×D4—31no—
1026C4×D4—31no—
1027C4×D4—31no—
1028C4×D4—32no—
1029C4×D4—92no—
1030C4×D4—92no—
1031C4×D4—91no—
1032C4×D4—91no—
1033C4×D4—91no—
1034C4×D4—92no—
1035C4×D4—92no—
1036C4×D4—92no—
1037#117—91no—
1038#117—92no—
1039C2×C4⋊C4—92no—
1040C2×C4⋊C4—91no—
1041C2×C22⋊C4—32no—
1042C2×C22⋊C4—92no—
1043C2×C22⋊C4—92no—
1044C23×C3—21no—
1045C23×C3—32no—
1046C23×C3—31no—
1047C23×C3—32no—
1048C23×C3—32no—
1049C23×C3—31no—
1050C23×C3—64no—
1051C23×C3—122no—
1052C23×C3—122no—
1053C23×C3C23×D311yescharacteristic
1054C23×C3C23×D311yescharacteristic
1055C22×D3—24no—
1056C22×D3—31no—
1057C22×D3—31no—
1058C22×D3—31no—
1059C22×D3—31no—
1060C22×D3—32no—
1061C22×D3—32no—
1062C22×D3—42no—
1063C22×D3—42no—
1064C22×D3—61no—
1065C22×D3—61no—
1066C22×D3—62no—
1067C22×D3—62no—
1068C22×D3—62no—
1069C22×D3—64no—
1070C22×D3—64no—
1071C22×D3—64no—
1072C22×D3—64no—
1073C22×D3—62no—
1074C22×D3—64no—
1075C22×D3—64no—
1076C22×D3—64no—
1077C22×D3—62no—
1078C22×D3—64no—
1079C22×D3—122no—
1080C22×D3—121no—
1081C22×D3—122no—
1082C22×D3—121no—
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×D3C23×D312yes—
1092C22×D3C23×D312yes—
1093C22×D3C23×D311yescharacteristic
1094C22×D3C23×D312yes—
1095C22×D3C23×D311yescharacteristic
1096C3×Q8—22no—
1097C3×Q8—22no—
1098C3×Q8—34no—
1099C3×Q8—42no—
1100C3×Q8—64no—
1101C3×D4—34no—
1102C3×D4—64no—
1103C3×D4—64no—
1104C3×D4—64no—
1105C3×D4—64no—
1106C3×D4—62no—
1107C3×D4—62no—
1108C3×D4—62no—
1109C3×D4—122no—
1110C3×D4—121no—
1111C2×C3×C4—22no—
1112C2×C3×C4—22no—
1113C2×C3×C4—21no—
1114C2×C3×C4—22no—
1115C2×C3×C4—22no—
1116C2×C3×C4—21no—
1117C2×C3×C4—32no—
1118C2×C3×C4—31no—
1119C2×C3×C4—31no—
1120C2×C3×C4—31no—
1121C2×C3×C4—31no—
1122C2×C3×C4—31no—
1123C2×C3×C4—31no—
1124C2×C3×C4—42no—
1125C2×C3×C4—64no—
1126C2×C3×C4—64no—
1127C2×C3×C4—64no—
1128C2×C3×C4—62no—
1129C2×C3×C4—62no—
1130C2×C3×C4—122no—
1131C2×C3×C4C23×D312yes—
1132C2×C3×C4C23×D312yes—
1133C2×C3×C4C23×D312yes—
1134C2×C3×C4C23×D312yes—
1135C2×C3×C4C23×D311yescharacteristic
1136C2×C3×C4C23×D311yescharacteristic
1137C2×C3×C4C23×D311yescharacteristic
1138C2×C3×C4C23×D311yescharacteristic
1139#67—22no—
1140#67—24no—
1141#67—38no—
1142#67—41no—
1143#67—64no—
1144#67—62no—
1145#67—64no—
1146#67—64no—
1147#67—62no—
1148#67—62no—
1149#67—64no—
1150#67—64no—
1151#67—62no—
1152#67—62no—
1153#67—64no—
1154#67—64no—
1155#67—64no—
1156#67—64no—
1157#67—122no—
1158#67—122no—
1159#67—122no—
1160#67—122no—
1161#67—122no—
1162#67—121no—
1163#67—122no—
1164#67—122no—
1165#67—122no—
1166#67—122no—
1167#67—122no—
1168#67—242no—
1169C2×Dic3—31no—
1170C2×Dic3—31no—
1171C2×Dic3—38no—
1172C2×Dic3—32no—
1173C2×Dic3—32no—
1174C2×Dic3—31no—
1175C2×Dic3—31no—
1176C2×Dic3—61no—
1177C2×Dic3—62no—
1178C2×Dic3—61no—
1179C2×Dic3—62no—
1180C2×Dic3—62no—
1181C2×Dic3—64no—
1182C2×Dic3—122no—
1183C2×Dic3C23×D311yescharacteristic
1184C2×Dic3C23×D311yescharacteristic
1185C2×Dic3C23×D311yescharacteristic
1186C2×Dic3C23×D311yescharacteristic
1187C2×Dic3C23×D311yescharacteristic
1188C2×Dic3C23×D311yescharacteristic
1189C2×Dic3C23×D312yes—
1190D12—24no—
1191D12—24no—
1192D12—24no—
1193D12—22no—
1194D12—22no—
1195D12—38no—
1196D12—42no—
1197D12—62no—
1198D12—64no—
1199D12—62no—
1200D12—64no—
1201D12—64no—
1202D12—64no—
1203D12—64no—
1204D12—62no—
1205D12—62no—
1206D12—62no—
1207D12—122no—
1208D12—122no—
1209D12—124no—
1210D12—122no—
1211D12—122no—
1212D12—121no—
1213D12—122no—
1214D12—122no—
1215D12—122no—
1216D12—122no—
1217D12—242no—
1218D12D3×D414yescomplemented
1219C4×D3—24no—
1220C4×D3—22no—
1221C4×D3—22no—
1222C4×D3—24no—
1223C4×D3—24no—
1224C4×D3—38no—
1225C4×D3—34no—
1226C4×D3—34no—
1227C4×D3—42no—
1228C4×D3—64no—
1229C4×D3—64no—
1230C4×D3—62no—
1231C4×D3—62no—
1232C4×D3—64no—
1233C4×D3—64no—
1234C4×D3—62no—
1235C4×D3—62no—
1236C4×D3—64no—
1237C4×D3—62no—
1238C4×D3—62no—
1239C4×D3—64no—
1240C4×D3—124no—
1241C4×D3—122no—
1242C4×D3—122no—
1243C4×D3—122no—
1244C4×D3—122no—
1245C4×D3—242no—
1246Dic6—24no—
1247Dic6—62no—
1248Dic6—62no—
1249Dic6—122no—
1250Dic6D3×D414yescomplemented
1251C2×C32—41no—
1252C2×C32C23×D411yescharacteristic
1253C2×C32C2×H(5,𝔽2)11yescharacteristic
1254C2×C32#58511yescharacteristic
1255C3⋊D3—22no—
1256C3⋊D3—42no—
1257C3⋊D3—41no—
1258C3×D3—22no—
1259C3×D3—24no—
1260C3×D3—41no—
1261C3×D3—42no—
1262C3×D3—42no—
1263C24—32no—
1264C24—92no—
1265C24—91no—
1266C24—92no—
1267C24—92no—
1268#41—64no—
1269#41—64no—
1270#41—98no—
1271#41—184no—
1272#41—188no—
1273#41—188no—
1274#41—184no—
1275#41—188no—
1276#41—184no—
1277#41—184no—
1278C2×Q8—31no—
1279C2×Q8—32no—
1280C2×Q8—64no—
1281C2×Q8—91no—
1282C2×Q8C2×D3211yescharacteristic
1283C2×D4—31no—
1284C2×D4—32no—
1285C2×D4—31no—
1286C2×D4—31no—
1287C2×D4—32no—
1288C2×D4—32no—
1289C2×D4—32no—
1290C2×D4—31no—
1291C2×D4—31no—
1292C2×D4—32no—
1293C2×D4—64no—
1294C2×D4—92no—
1295C2×D4—91no—
1296C2×D4—92no—
1297C2×D4—92no—
1298C2×D4—92no—
1299C2×D4—92no—
1300C2×D4—91no—
1301C2×D4—92no—
1302C2×D4—92no—
1303C2×D4—92no—
1304C2×D4—92no—
1305C2×D4—92no—
1306C2×D4—92no—
1307C2×D4—91no—
1308C2×D4—91no—
1309C2×D4—92no—
1310C2×D4—92no—
1311C2×D4—92no—
1312C2×D4—91no—
1313C2×D4—91no—
1314C2×D4—92no—
1315C2×D4—184no—
1316C2×D4—188no—
1317C2×D4—188no—
1318C2×D4—184no—
1319C2×D4—188no—
1320C2×D4—184no—
1321C2×D4—188no—
1322C2×D4—364no—
1323C2×D4—364no—
1324C2×D4—364no—
1325C22×C4—32no—
1326C22×C4—32no—
1327C22×C4—31no—
1328C22×C4—31no—
1329C22×C4—32no—
1330C22×C4—32no—
1331C22×C4—91no—
1332C22×C4—92no—
1333C22×C4—92no—
1334C22×C4—92no—
1335C22×C4—91no—
1336C22×C4—91no—
1337C22×C4—92no—
1338C22×C4—91no—
1339C22×C4—91no—
1340C22×C4—92no—
1341C22×C4—92no—
1342C22×C4—188no—
1343C22×C4—184no—
1344C22×C4C2×D3211yescharacteristic
1345C4⋊C4—32no—
1346C4⋊C4—31no—
1347C4⋊C4—31no—
1348C4⋊C4—91no—
1349C4⋊C4—92no—
1350C4⋊C4—91no—
1351C4⋊C4—91no—
1352C4⋊C4—91no—
1353C4⋊C4—92no—
1354C4⋊C4—91no—
1355C4⋊C4—92no—
1356C4⋊C4C2×D3211yescharacteristic
1357C4⋊C4C2×D3212yes—
1358C22⋊C4—31no—
1359C22⋊C4—31no—
1360C22⋊C4—32no—
1361C22⋊C4—32no—
1362C22⋊C4—32no—
1363C22⋊C4—32no—
1364C22⋊C4—32no—
1365C22⋊C4—31no—
1366C22⋊C4—32no—
1367C22⋊C4—31no—
1368C22⋊C4—32no—
1369C22⋊C4—91no—
1370C22⋊C4—91no—
1371C22⋊C4—91no—
1372C22⋊C4—91no—
1373C22⋊C4—92no—
1374C22⋊C4—92no—
1375C22⋊C4—92no—
1376C22⋊C4—91no—
1377C22⋊C4—91no—
1378C22⋊C4—92no—
1379C22⋊C4—92no—
1380C22⋊C4—92no—
1381C22⋊C4C2×D3212yes—
1382C42—31no—
1383C42—32no—
1384C42—31no—
1385C42—92no—
1386C22×C3—21no—
1387C22×C3—21no—
1388C22×C3—21no—
1389C22×C3—21no—
1390C22×C3—21no—
1391C22×C3—21no—
1392C22×C3—21no—
1393C22×C3—34no—
1394C22×C3—32no—
1395C22×C3—41no—
1396C22×C3—41no—
1397C22×C3—41no—
1398C22×C3—61no—
1399C22×C3—62no—
1400C22×C3—61no—
1401C22×C3—62no—
1402C22×C3—61no—
1403C22×C3—62no—
1404C22×C3—62no—
1405C22×C3—62no—
1406C22×C3—61no—
1407C22×C3—62no—
1408C22×C3—62no—
1409C22×C3—61no—
1410C22×C3—62no—
1411C22×C3—244no—
1412C22×C3C24×D311yescharacteristic
1413C22×C3C24×D311yescharacteristic
1414C2×D3—21no—
1415C2×D3—22no—
1416C2×D3—22no—
1417C2×D3—21no—
1418C2×D3—21no—
1419C2×D3—22no—
1420C2×D3—22no—
1421C2×D3—22no—
1422C2×D3—21no—
1423C2×D3—22no—
1424C2×D3—21no—
1425C2×D3—22no—
1426C2×D3—22no—
1427C2×D3—32no—
1428C2×D3—32no—
1429C2×D3—62no—
1430C2×D3—61no—
1431C2×D3—61no—
1432C2×D3—61no—
1433C2×D3—61no—
1434C2×D3—62no—
1435C2×D3—62no—
1436C2×D3—61no—
1437C2×D3—61no—
1438C2×D3—61no—
1439C2×D3—62no—
1440C2×D3—62no—
1441C2×D3—61no—
1442C2×D3—61no—
1443C2×D3—62no—
1444C2×D3—62no—
1445C2×D3—61no—
1446C2×D3—84no—
1447C2×D3—121no—
1448C2×D3—121no—
1449C2×D3—122no—
1450C2×D3—121no—
1451C2×D3—121no—
1452C2×D3—122no—
1453C2×D3—122no—
1454C2×D3—121no—
1455C2×D3—124no—
1456C2×D3—128no—
1457C2×D3—128no—
1458C2×D3—124no—
1459C2×D3—244no—
1460C2×D3—244no—
1461C2×D3—244no—
1462C2×D3—244no—
1463C2×D3C2×D3×D414yes—
1464C2×D3#100912yescomplemented
1465C3×C4—22no—
1466C3×C4—21no—
1467C3×C4—21no—
1468C3×C4—22no—
1469C3×C4—22no—
1470C3×C4—22no—
1471C3×C4—22no—
1472C3×C4—34no—
1473C3×C4—41no—
1474C3×C4—42no—
1475C3×C4—42no—
1476C3×C4—61no—
1477C3×C4—61no—
1478C3×C4—61no—
1479C3×C4—61no—
1480C3×C4—61no—
1481C3×C4—61no—
1482C3×C4C2×D3×D412yes—
1483C3×C4C2×D3×D412yes—
1484Dic3—21no—
1485Dic3—21no—
1486Dic3—21no—
1487Dic3—21no—
1488Dic3—21no—
1489Dic3—21no—
1490Dic3—32no—
1491Dic3—32no—
1492Dic3—62no—
1493Dic3—61no—
1494Dic3—61no—
1495Dic3—62no—
1496Dic3—62no—
1497Dic3—121no—
1498Dic3—122no—
1499Dic3C2×D3×D414yes—
1500C32#348811yescharacteristic, complemented, Sylow
1501C23—31no—
1502C23—32no—
1503C23—32no—
1504C23—32no—
1505C23—31no—
1506C23—64no—
1507C23—91no—
1508C23—91no—
1509C23—92no—
1510C23—122no—
1511C23—122no—
1512C23—184no—
1513C23—184no—
1514C23—182no—
1515C23—184no—
1516C23—182no—
1517C23—184no—
1518C23—362no—
1519C23—361no—
1520C23—362no—
1521C23—362no—
1522C23—362no—
1523C23—362no—
1524C23C22×D3211yescharacteristic
1525Q8—22no—
1526Q8—34no—
1527Q8—64no—
1528Q8—182no—
1529D4—34no—
1530D4—64no—
1531D4—64no—
1532D4—64no—
1533D4—64no—
1534D4—62no—
1535D4—62no—
1536D4—62no—
1537D4—98no—
1538D4—122no—
1539D4—121no—
1540D4—182no—
1541D4—184no—
1542D4—184no—
1543D4—184no—
1544D4—184no—
1545D4—182no—
1546D4—182no—
1547D4—184no—
1548D4—182no—
1549D4—184no—
1550D4—184no—
1551D4—182no—
1552D4—362no—
1553D4—362no—
1554D4—362no—
1555D4—362no—
1556D4—361no—
1557D4—362no—
1558D4—362no—
1559D4—362no—
1560C2×C4—22no—
1561C2×C4—32no—
1562C2×C4—31no—
1563C2×C4—31no—
1564C2×C4—31no—
1565C2×C4—31no—
1566C2×C4—31no—
1567C2×C4—31no—
1568C2×C4—64no—
1569C2×C4—64no—
1570C2×C4—64no—
1571C2×C4—62no—
1572C2×C4—62no—
1573C2×C4—98no—
1574C2×C4—91no—
1575C2×C4—94no—
1576C2×C4—92no—
1577C2×C4—91no—
1578C2×C4—122no—
1579C2×C4—184no—
1580C2×C4—184no—
1581C2×C4—184no—
1582C2×C4—182no—
1583C2×C4—182no—
1584C2×C4—182no—
1585C2×C4—182no—
1586C2×C4—362no—
1587C2×C4—362no—
1588C2×C4C22×D3212yes—
1589C2×C4C22×D3212yes—
1590C2×C4C22×D3211yescharacteristic
1591C2×C4C22×D3211yescharacteristic
1592C2×C3—21no—
1593C2×C3—21no—
1594C2×C3—21no—
1595C2×C3—41no—
1596C2×C3—41no—
1597C2×C3—62no—
1598C2×C3—64no—
1599C2×C3—81no—
1600C2×C3—122no—
1601C2×C3—121no—
1602C2×C3—122no—
1603C2×C3C22×D3×D411yescharacteristic
1604C2×C3C22×D3×D411yescharacteristic
1605C2×C3C2×#100911yescharacteristic
1606C2×C3#596411yescharacteristic
1607C2×C3D3×H(5,𝔽2)11yescharacteristic
1608C2×C3#596811yescharacteristic
1609D3—24no—
1610D3—22no—
1611D3—42no—
1612D3—41no—
1613D3—42no—
1614D3—62no—
1615D3—62no—
1616D3—122no—
1617D3—122no—
1618D3—121no—
1619D3—122no—
1620D3—121no—
1621D3—242no—
1622D3—241no—
1623C22—21no—
1624C22—21no—
1625C22—21no—
1626C22—34no—
1627C22—32no—
1628C22—61no—
1629C22—62no—
1630C22—61no—
1631C22—62no—
1632C22—61no—
1633C22—62no—
1634C22—62no—
1635C22—61no—
1636C22—62no—
1637C22—62no—
1638C22—62no—
1639C22—61no—
1640C22—62no—
1641C22—92no—
1642C22—181no—
1643C22—181no—
1644C22—182no—
1645C22—181no—
1646C22—182no—
1647C22—181no—
1648C22—181no—
1649C22—182no—
1650C22—244no—
1651C22—368no—
1652C22—364no—
1653C22—724no—
1654C22—724no—
1655C22C23×D3211yescharacteristic
1656C4—21no—
1657C4—22no—
1658C4—22no—
1659C4—34no—
1660C4—61no—
1661C4—61no—
1662C4—61no—
1663C4—61no—
1664C4—61no—
1665C4—61no—
1666C4—92no—
1667C4—181no—
1668C4—182no—
1669C4D32×D412yes—
1670C3—21no—
1671C3#8662911yescharacteristic, complemented
1672C3#8671311yescharacteristic, complemented
1673C2—41no—
1674C2—64no—
1675C2—62no—
1676C2—122no—
1677C2—121no—
1678C2—122no—
1679C2—182no—
1680C2—362no—
1681C2—361no—
1682C2C2×D32×D411yescharacteristic
1683C2#1059668811yescharacteristic
1684C2D3×#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×#64307C2semidirect
3. #10596100C2semidirect
4. C3×#5633C2semidirect
5. C3×#5630C2semidirect
6. #10595433C2semidirect
7. #10595428C2semidirect
8. #10595401C2semidirect
9. #10595076C2semidirect
10. D12×#67C2semidirect
11. #10595007C2semidirect
12. #10594621C2semidirect
13. #10594621C2semidirect
14. #10594620C2semidirect
15. #10594614C2semidirect
16. #10594612C2semidirect
17. #10594524C2semidirect
18. #10594368C2semidirect
19. #10594361C2semidirect
20. #10594280C2semidirect
21. #10594275C2semidirect
22. #10594270C2semidirect
23. D3×#884C2semidirect
26. C2×#3832C22semidirect
27. C2×#3828C22semidirect
28. C2×C3×#239C22semidirect
29. C2×C3×D3×Q8C22semidirect
30. C2×C3×#235C22semidirect
31. C22×C3×D12C22semidirect
32. C2×D3×#67C22semidirect
33. C2×D3×#67C22semidirect
34. C2×D3×#67C22semidirect
37. C2×#3802C22semidirect
38. C2×#3802C22semidirect
39. C2×#3802C22semidirect
40. C2×D3×D12C22semidirect
41. C2×D3×D12C22semidirect
42. C2×D3×D12C22semidirect
43. C2×D3×D12C22semidirect
44. C2×C4×D32C22semidirect
45. C2×C4×D32C22semidirect
46. C2×#3799C22semidirect
47. C2×#3799C22semidirect
49. C2×#3796C22semidirect
50. C2×#3796C22semidirect
51. C2×#3795C22semidirect
52. C32×C22⋊Q8C22semidirect
53. #64155C22semidirect
54. #64139C22semidirect
55. #64105C22semidirect
56. #64104C22semidirect
57. #64104C22semidirect
58. C4⋊C4×C3⋊D3C22semidirect
59. #64093C22semidirect
60. #64093C22semidirect
61. C3×#947C22semidirect
62. C3×#947C22semidirect
63. C3×C4×#67C22semidirect
64. C3×C4×#67C22semidirect
65. C3×#896C22semidirect
66. C3×#895C22semidirect
67. C3×#895C22semidirect
68. C3×#895C22semidirect
69. C3×#894C22semidirect
70. C3×#893C22semidirect
71. C3×#893C22semidirect
72. C3×#887C22semidirect
73. C3×#885C22semidirect
74. C3×#884C22semidirect
75. C3×#882C22semidirect
76. C3×D3×C22⋊C4C22semidirect
77. #63983C22semidirect
78. #63979C22semidirect
79. #63977C22semidirect
80. #63975C22semidirect
81. #63971C22semidirect
82. #63971C22semidirect
83. #63958C22semidirect
84. #63923C22semidirect
85. #63923C22semidirect
86. #63923C22semidirect
87. #63923C22semidirect
88. #63922C22semidirect
89. #63922C22semidirect
90. #63922C22semidirect
91. #63921C22semidirect
92. D3×(C2×D3)⋊C4C22semidirect
93. #63912C22semidirect
94. #63912C22semidirect
95. #63911C22semidirect
96. #63911C22semidirect
97. #63911C22semidirect
98. #63910C22semidirect
99. #63908C22semidirect
100. #63908C22semidirect
101. #63907C22semidirect
102. #63906C22semidirect
103. #63906C22semidirect
104. #63906C22semidirect
105. #63905C22semidirect
106. #63904C22semidirect
107. C4×#626C22semidirect
108. C4×#626C22semidirect
109. C4×#626C22semidirect
110. #63897C22semidirect
111. #63896C22semidirect
112. #63896C22semidirect
113. Dic3×D12C22semidirect
114. #63887C22semidirect
115. #63886C22semidirect
116. #63886C22semidirect
117. #63885C22semidirect
118. #63885C22semidirect
119. #63885C22semidirect
120. #63881C22semidirect
121. #63880C22semidirect
122. #63879C22semidirect
123. #63877C22semidirect
124. D3×Dic3⋊C4C22semidirect
125. #63874C22semidirect
126. Dic3×Dic6C22semidirect
145. #5633D3semidirect
147. #5630D3semidirect
254. #3796D4semidirect
316. C2×#239C2×D3semidirect
317. C2×D3×Q8C2×D3semidirect
342. C2×#235C2×D3semidirect
347. C22×D12C2×D3semidirect
358. C3×C22⋊Q8C2×D3semidirect
359. C3×C22⋊Q8C2×D3semidirect
373. #947C2×D3semidirect
374. #947C2×D3semidirect
415. C4×#67C2×D3semidirect
416. C4×#67C2×D3semidirect
424. #896C2×D3semidirect
434. #895C2×D3semidirect
435. #895C2×D3semidirect
436. #895C2×D3semidirect
439. #894C2×D3semidirect
442. #893C2×D3semidirect
443. #893C2×D3semidirect
448. #887C2×D3semidirect
450. #885C2×D3semidirect
471. #884C2×D3semidirect
487. #882C2×D3semidirect
494. D3×C22⋊C4C2×D3semidirect
554. C4×C3⋊D3C2×D4semidirect
572. C3×D12C2×D4semidirect
580. C3×Dic6C2×D4semidirect
590. #626C2×D4semidirect
601. D3×Dic3C2×D4semidirect
924. C2×C3×D3H(5,𝔽2)semidirect
987. C22⋊Q8D32semidirect
1218. D12D3×D4semidirect
1250. Dic6D3×D4semidirect
1464. C2×D3#1009semidirect
1500. C32#3488semidirect
1671. C3#86629semidirect
1672. 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×#643072
#105961002
C3×#56332
C3×#56302
#105954332
#105954282
#105954012
#105950762
D12×#672
#105950072
#105946212
#105946202
#105946142
#105946122
#105945242
#105943682
#105943612
#105942802
#105942752
#105942702
D3×#8842
#867133
#866293