Finite Group Databasebeta

← #11904687

Subgroups — #11904687

Order 1152.

3481 conjugacy classes of subgroups.

The subgroup lattice has 1719 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#64307C211yesmaximal, characteristic, complemented
2C2×#64306C211yesmaximal, characteristic, complemented
3#10596018C211yesmaximal, characteristic, complemented
4C3×#5553C211yesmaximal, characteristic, complemented
5C3×#5550C211yesmaximal, characteristic, complemented
6#10595295C212yesmaximal, complemented
7#10595286C212yesmaximal, complemented
8#10595081C211yesmaximal, characteristic, complemented
9#10595070C211yesmaximal, characteristic, complemented
10#10595069C211yesmaximal, characteristic, complemented
11#10595006C211yesmaximal, characteristic, complemented
12#10594923C211yesmaximal, characteristic, complemented
13#10594830C211yesmaximal, characteristic, complemented
14#10594619C212yesmaximal, complemented
15#10594614C212yesmaximal, complemented
16#10594284C212yesmaximal, complemented
17#10594278C212yesmaximal, complemented
18D3×#884C212yesmaximal, complemented
19#10594060C212yesmaximal, complemented
20#10594010C211yesmaximal, characteristic, complemented
21#10594004C211yesmaximal, characteristic, complemented
22#10593901C211yesmaximal, characteristic, complemented
23#10593889C211yesmaximal, characteristic, complemented
24#86769—31nomaximal
25#86629—31nomaximal
26C2×#3828C2211yescharacteristic, complemented
27C22×C4×C3⋊D3C2211yescharacteristic, complemented
28C2×C3×#235C2211yescharacteristic, complemented
29C2×C3×#235C2211yescharacteristic, complemented
30C2×C3×#235C2211yescharacteristic, complemented
31C22×C3×D12C2211yescharacteristic, complemented
32C2×#3811C2212yescomplemented
33C2×#3811C2212yescomplemented
34C2×D3×#67C2212yescomplemented
35C2×D3×#67C2212yescomplemented
36C2×D3×#67C2212yescomplemented
37C2×#3805C2212yescomplemented
38#64307—28no—
39#64306—28no—
40C2×#3802C2211yescharacteristic, complemented
41C2×#3802C2211yescharacteristic, complemented
42C2×#3802C2211yescharacteristic, complemented
43C2×D3×D12C2212yescomplemented
44C2×D3×D12C2212yescomplemented
45C2×C4×D32C2212yescomplemented
46C2×#3798C2212yescomplemented
47C2×#3797C2211yescharacteristic, complemented
48C2×#3796C2211yescharacteristic
49C2×#3796C2211yescharacteristic, complemented
50C2×#3796C2211yescharacteristic, complemented
51C2×#3795C2212yescomplemented
52C32×C4×D4C2211yescharacteristic, complemented
53#64148C2211yescharacteristic, complemented
54#64146C2211yescharacteristic, complemented
55C4×#638C2211yescharacteristic, complemented
56C4×#638C2211yescharacteristic, complemented
57#64105C2211yescharacteristic, complemented
58#64103C2211yescharacteristic, complemented
59#64093C2211yescharacteristic, complemented
60#64092C2211yescharacteristic, complemented
61#64091C2211yescharacteristic, complemented
62#64087C2211yescharacteristic, complemented
63C4×C4⋊(C3⋊D3)C2211yescharacteristic, complemented
64#64081C2211yescharacteristic, complemented
65C3×#940C2212yescomplemented
66C3×#937C2212yescomplemented
67C3×#930C2211yescharacteristic, complemented
68C3×#930C2211yescharacteristic, complemented
69C3×#930C2211yescharacteristic, complemented
70C3×#924C2211yescharacteristic, complemented
71C3×#894C2212yescomplemented
72C3×#893C2212yescomplemented
73C3×#884C2212yescomplemented
74C3×#884C2212yescomplemented
75C3×#884C2212yescomplemented
76C3×D3×C22⋊C4C2212yescomplemented
77C3×#875C2211yescharacteristic, complemented
78C3×#874C2211yescharacteristic, complemented
79C3×C4×D12C2211yescharacteristic, complemented
80C3×C4×Dic6C2211yescharacteristic, complemented
81#63983C2212yescomplemented
82#63980C2212yescomplemented
83#63979C2212yescomplemented
84#63976C2212yescomplemented
85#63971C2212yescomplemented
86#63970C2212yescomplemented
87#63970C2212yescomplemented
88#63959C2212yescomplemented
89#63958C2212yescomplemented
90#63958C2212yescomplemented
91#63922C2212yescomplemented
92#63922C2212yescomplemented
93#63922C2212yescomplemented
94#63922C2212yescomplemented
95#63922C2212yescomplemented
96#63921C2212yescomplemented
97D3×(C2×D3)⋊C4C2212yescomplemented
98#63916C2211yescharacteristic, complemented
99#63916C2211yescharacteristic, complemented
100#63916C2211yescharacteristic, complemented
101#63914C2211yescharacteristic, complemented
102#63912C2212yescomplemented
103#63910C2212yescomplemented
104#63910C2212yescomplemented
105#63908C2212yescomplemented
106#63906C2212yescomplemented
107#63905C2212yescomplemented
108#63904C2212yescomplemented
109#63904C2212yescomplemented
110#63900C2211yescharacteristic, complemented
111#63898C2211yescharacteristic, complemented
112#63896C2212yescomplemented
113#63893C2212yescomplemented
114#63885C2212yescomplemented
115#63885C2212yescomplemented
116#63885C2212yescomplemented
117#63880C2212yescomplemented
118#63880C2212yescomplemented
119#63879C2212yescomplemented
120#63877C2212yescomplemented
121D3×Dic3⋊C4C2212yescomplemented
122#63871C2211yescharacteristic, complemented
123#63863C2211yescharacteristic, complemented
124#63852C2212yescomplemented
125#63851C2212yescomplemented
126#63843C2211yescharacteristic, complemented
127C2×#1009—31no—
128C2×D3×#41—31no—
129C2×D3×#41—31no—
130C2×#1004—31no—
131C3×#550—31no—
132C3×#546—31no—
133#5834—31no—
134#5831—31no—
135#5829—31no—
136D4×#67—31no—
137#5717—32no—
138#5717—31no—
139#5715—32no—
140#5715—31no—
141#5677—31no—
142#5674—31no—
143#5656—32no—
144#5654—32no—
145#5633—31no—
146#5629—31no—
147#5612—31no—
148#5612—32no—
149#5609—31no—
150#5609—32no—
151#5609—32no—
152#5608—31no—
153#5608—32no—
154D3×#121—31no—
155D3×#121—31no—
156D3×#121—32no—
157#5599—31no—
158#5597—32no—
159#5592—32no—
160#5590—32no—
161#5576—31no—
162#5574—31no—
163#5553D311yescharacteristic, complemented
164#5550—32no—
165#5550D311yescharacteristic, complemented
166D4×D12—31no—
167#5547—31no—
168#5547—31no—
169#5547—32no—
170#5547—61no—
171#5546—31no—
172#5490—32no—
173C2×#884—32no—
174C23×C3⋊D3C2311yescharacteristic
175C23×C3×D3C2312yes—
176C22×D32C2312yes—
177C22×D32C2312yes—
178C22×D32C2312yes—
179C2×C32×D4C2311yescharacteristic
180C22×C32×C4C2311yescharacteristic
181C22×C32×C4C2311yescharacteristic
182C2×#638C2311yescharacteristic
183C2×#638C2311yescharacteristic
184C2×#638C2311yescharacteristic
185C2×#638C2311yescharacteristic
186C22×C3⋊Dic3C2311yescharacteristic
187#3828—24no—
188C2×C4⋊(C3⋊D3)C2311yescharacteristic
189C2×C4⋊(C3⋊D3)C2311yescharacteristic
190C2×C4×C3⋊D3—24no—
191C2×C4×C3⋊D3C2311yescharacteristic
192C2×C4×C3⋊D3C2311yescharacteristic
193C2×C4×C3⋊D3C2311yescharacteristic
194C2×C4×C3⋊D3C2311yescharacteristic
195C2×C4×C3⋊D3C2311yescharacteristic
196C2×#634C2311yescharacteristic
197C2×C3×#67C2312yes—
198C2×C3×#67C2312yes—
199C2×C3×#67C2312yes—
200C2×C3×#67C2312yes—
201C2×C3×#67C2312yes—
202C2×C3×#67C2312yes—
203C3×#235—24no—
204C3×#235—24no—
205C3×#235—24no—
206C2×C3×D12—24no—
207C2×C3×D12C2312yes—
208C2×C3×D12C2311yescharacteristic
209C2×C3×D12C2311yescharacteristic
210C2×C3×D12C2311yescharacteristic
211C2×C3×D12C2312yes—
212C2×C3×D12C2312yes—
213C2×C3×D12C2311yescharacteristic
214C2×C3×C4×D3C2312yes—
215C2×C3×C4×D3C2312yes—
216C2×C3×C4×D3C2312yes—
217C2×C3×C4×D3C2312yes—
218C2×C3×Dic6C2311yescharacteristic
219C2×C3×Dic6C2311yescharacteristic
220#3811—28no—
221#3811—44no—
222D3×#67—28no—
223D3×#67—28no—
224D3×#67—44no—
225C2×#627C2312yes—
226C2×#626C2312yes—
227C2×#626C2312yes—
228C2×#626C2312yes—
229C2×#626C2312yes—
230C2×#626C2312yes—
231C2×#626C2312yes—
232C2×#625C2312yes—
233C2×#625C2312yes—
234C2×#625C2312yes—
235C2×#625C2312yes—
236C2×#625C2312yes—
237C2×#624C2312yes—
238C2×#624C2312yes—
239#3805—28no—
240C2×D3×Dic3C2312yes—
241C2×D3×Dic3C2312yes—
242C2×D3×Dic3C2312yes—
243C2×D3×Dic3C2312yes—
244#3802—24no—
245#3802—24no—
246#3802—24no—
247D3×D12—28no—
248D3×D12—44no—
249C4×D32—28no—
250#3798—28no—
251#3797—24no—
252#3796—24no—
253#3796—24no—
254#3796D418yescomplemented
255#3795—28no—
256C32×C4⋊C4C2311yescharacteristic
257C32×C22⋊C4C2311yescharacteristic
258C32×C22⋊C4C2311yescharacteristic
259C32×C42C2311yescharacteristic
260#3757C2311yescharacteristic
261#3757C2311yescharacteristic
262#3752C2311yescharacteristic
263#3752C2311yescharacteristic
264#3752C2311yescharacteristic
265#3752C2311yescharacteristic
266#3752C2311yescharacteristic
267#3752C2311yescharacteristic
268C4⋊(C3⋊Dic3)C2311yescharacteristic
269#3750C2311yescharacteristic
270#3750C2311yescharacteristic
271#3750C2311yescharacteristic
272#3750C2311yescharacteristic
273C4×C3⋊Dic3C2311yescharacteristic
274C3×#217C2312yes—
275C3×(C2×D3)⋊C4C2312yes—
276C3×(C2×D3)⋊C4C2312yes—
277C3×(C2×D3)⋊C4C2312yes—
278C3×(C2×D3)⋊C4C2312yes—
279C3×(C2×D3)⋊C4C2312yes—
280C3×(C2×D3)⋊C4C2312yes—
281C3×C4⋊Dic3C2311yescharacteristic
282C3×C4⋊Dic3C2311yescharacteristic
283C3×Dic3⋊C4C2312yes—
284C3×Dic3⋊C4C2312yes—
285C3×C4×Dic3C2312yes—
286#3724C2312yes—
287Dic3⋊Dic3C2312yes—
288Dic3⋊Dic3C2312yes—
289#3722C2312yes—
290(C2×D3)⋊Dic3C2312yes—
291(C2×D3)⋊Dic3C2312yes—
292(C2×D3)⋊Dic3C2312yes—
293(C2×D3)⋊Dic3C2312yes—
294(C2×D3)⋊Dic3C2312yes—
295(C2×D3)⋊Dic3C2312yes—
296Dic32C2312yes—
297#3488—91noSylow
298C2×C3×#41—31no—
299C2×C3×#41—31no—
300C2×C3×#41—31no—
301C22×C3×D4—31no—
302C22×#67—32no—
303C22×#67—32no—
304C22×#67—32no—
305#1009—68no—
306D3×#41—68no—
307D3×#41—68no—
308C2×#239—31no—
309C2×#239—31no—
310C2×#239—31no—
311C2×D3×Q8—31no—
312C2×D3×Q8—31no—
313#1004—68no—
314C2×#237—32no—
315C2×#237—32no—
316C2×#237—32no—
317C2×#237—31no—
318C2×#237—31no—
319C2×#237—31no—
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—31no—
330C2×D3×D4—31no—
331C2×D3×D4—31no—
332C2×D3×D4—31no—
333C2×D3×D4—32no—
334C2×D3×D4—32no—
335C2×#235—31no—
336C2×#235—31no—
337C2×#235—32no—
338C2×#235—32no—
339C2×#235—32no—
340C2×#235—61no—
341C2×#235C2×D311yescharacteristic, complemented
342C2×#235C2×D311yescharacteristic, complemented
343C2×#235C2×D311yescharacteristic, complemented
344C22×D12—32no—
345C22×D12—32no—
346C22×D12C2×D311yescharacteristic, complemented
347C22×C4×D3—31no—
348C22×C4×D3—31no—
349C22×C4×D3—32no—
350C22×C4×D3—32no—
351C22×C4×D3—61no—
352C3×#127—32no—
353C3×#127—31no—
354C3×#124—31no—
355C3×#123—32no—
356C3×C22⋊Q8—31no—
357C3×#121—31no—
358C3×#121—31no—
359C3×#121—31no—
360C3×#121—32no—
361C3×#121—32no—
362C3×#121—32no—
363C3×#120—32no—
364C3×C4×Q8—31no—
365C3×C4×D4—21no—
366C3×C4×D4—32no—
367C3×C4×D4—31no—
368C3×C4×D4C2×D311yescharacteristic, complemented
369C3×C4×D4C2×D311yescharacteristic, complemented
370C2×C3×C22⋊C4—32no—
371#953—32no—
372#947—31no—
373#946—31no—
374Q8×Dic3—31no—
375#940—32no—
376#940—32no—
377#940—31no—
378#940—31no—
379#940C2×D312yescomplemented
380#939—31no—
381#939—31no—
382#939—32no—
383#939—32no—
384#939—32no—
385#939—32no—
386#939—32no—
387#939—32no—
388#939—32no—
389#939—32no—
390#939—61no—
391#938—32no—
392#938—32no—
393#938—32no—
394#938—32no—
395#938—32no—
396#938—31no—
397#938—31no—
398#938—31no—
399#937—32no—
400#937—31no—
401#937—31no—
402#937—32no—
403#937—32no—
404#937—32no—
405#937—32no—
406#937—32no—
407#937—32no—
408#937—32no—
409#937—61no—
410#937C2×D312yescomplemented
411#936—31no—
412#936—32no—
413D4×Dic3—31no—
414#930—32no—
415#930—32no—
416#930C2×D311yescharacteristic, complemented
417#930C2×D311yescharacteristic, complemented
418#930C2×D311yescharacteristic, complemented
419#929—32no—
420C4×#67—31no—
421C4×#67—31no—
422C4×#67—31no—
423C4×#67—31no—
424C4×#67—32no—
425C4×#67—32no—
426C4×#67—32no—
427C4×#67—61no—
428C4×#67—61no—
429C2×(C2×D3)⋊C4—32no—
430#924—32no—
431#924C2×D311yescharacteristic, complemented
432C2×Dic3⋊C4—32no—
433#897—31no—
434#897—32no—
435#896—32no—
436#896—31no—
437#896—31no—
438#896—32no—
439#896—61no—
440#895—31no—
441#895—31no—
442#895—31no—
443#895—32no—
444#895—32no—
445#894—31no—
446#894—31no—
447#894—61no—
448#894C2×D312yescomplemented
449#893—31no—
450#893—32no—
451#893—32no—
452#893C2×D312yescomplemented
453D3×C4⋊C4—32no—
454D3×C4⋊C4—31no—
455D3×C4⋊C4—31no—
456#887—31no—
457#885—32no—
458#885—32no—
459#884—32no—
460#884—32no—
461#884—32no—
462#884—32no—
463#884—32no—
464#884—32no—
465#884—32no—
466#884—31no—
467#884—31no—
468#884—32no—
469#884—32no—
470#884—32no—
471#884—32no—
472#884—61no—
473#884C2×D312yescomplemented
474#884C2×D312yescomplemented
475#884C2×D312yescomplemented
476#883—32no—
477#883—31no—
478#883—31no—
479#883—61no—
480#882—32no—
481#882—32no—
482#882—32no—
483#882—32no—
484#882—32no—
485#882—31no—
486#882—31no—
487#882—61no—
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—31no—
496#878—31no—
497#878—32no—
498#878—32no—
499#878—61no—
500#877—32no—
501#875—32no—
502#875C2×D311yescharacteristic, complemented
503#874C2×D311yescharacteristic, complemented
504C4×D12—31no—
505C4×D12—31no—
506C4×D12—32no—
507C4×D12—32no—
508C4×D12—61no—
509C4×D12C2×D311yescharacteristic, complemented
510#872—31no—
511#872—31no—
512#872—32no—
513#872—61no—
514C4×Dic6C2×D311yescharacteristic, complemented
515C23×C32C2411yescharacteristic
516C23×C32C2411yescharacteristic
517C22×C3⋊D3—22no—
518C22×C3⋊D3—22no—
519C22×C3⋊D3—41no—
520C22×C3⋊D3C2411yescharacteristic
521C22×C3⋊D3C2411yescharacteristic
522C22×C3⋊D3C2411yescharacteristic
523C22×C3×D3—24no—
524C22×C3×D3—42no—
525C22×C3×D3—42no—
526C22×C3×D3C2412yes—
527C22×C3×D3C2412yes—
528C22×C3×D3C2412yes—
529C22×C3×D3C2412yes—
530C2×D32—24no—
531C2×D32—24no—
532C2×D32—24no—
533C2×D32—24no—
534C2×D32—42no—
535C2×D32—42no—
536C2×D32—42no—
537C2×D32—42no—
538C2×D32—42no—
539C32×D4—41no—
540C2×C32×C4—22no—
541C2×C32×C4—22no—
542C2×C32×C4C2411yescharacteristic
543C2×C32×C4C2411yescharacteristic
544C2×C32×C4C2411yescharacteristic
545C2×C32×C4C2411yescharacteristic
546C2×C32×C4C2411yescharacteristic
547#638—22no—
548#638—22no—
549#638—22no—
550#638—41no—
551C2×C3⋊Dic3—22no—
552C2×C3⋊Dic3C2411yescharacteristic
553C2×C3⋊Dic3C2411yescharacteristic
554C2×C3⋊Dic3C2411yescharacteristic
555C2×C3⋊Dic3C2411yescharacteristic
556C2×C3⋊Dic3C2411yescharacteristic
557C4⋊(C3⋊D3)—22no—
558C4⋊(C3⋊D3)—22no—
559C4×C3⋊D3—22no—
560C4×C3⋊D3—22no—
561C4×C3⋊D3—22no—
562C4×C3⋊D3—22no—
563C4×C3⋊D3C2×D414yescomplemented
564#634—22no—
565C3×#67—24no—
566C3×#67—24no—
567C3×#67—24no—
568C3×#67—42no—
569C3×#67—42no—
570C3×#67—42no—
571C2×C3×Dic3C2412yes—
572C2×C3×Dic3C2412yes—
573C2×C3×Dic3C2412yes—
574C2×C3×Dic3C2412yes—
575C3×D12—24no—
576C3×D12—22no—
577C3×D12—22no—
578C3×D12—22no—
579C3×D12—42no—
580C3×D12—42no—
581C3×D12C2×D414yescomplemented
582C3×C4×D3—24no—
583C3×C4×D3—24no—
584C3×C4×D3—24no—
585C3×C4×D3—42no—
586C3×Dic6—22no—
587C3×Dic6C2×D414yescomplemented
588#627—24no—
589#626—24no—
590#626—24no—
591#626—24no—
592#626—24no—
593#626—42no—
594#626C2×D418yescomplemented
595#625—24no—
596#625—24no—
597#625—24no—
598#625—42no—
599#625—42no—
600#624—24no—
601#624—42no—
602D3×Dic3—24no—
603D3×Dic3—24no—
604D3×Dic3—42no—
605D3×Dic3C2×D418yescomplemented
606C2×H(5,𝔽2)—91no—
607C22×#41—91no—
608#550—31no—
609#550—91no—
610#548—91no—
611#548—91no—
612#546—31no—
613#546—92no—
614#546—92no—
615#546—91no—
616D42—91no—
617D42—92no—
618D42—92no—
619D42—91no—
620#537—92no—
621#537—91no—
622#535—92no—
623#535—91no—
624#525—92no—
625#525—91no—
626C2×#121—92no—
627C2×#121—91no—
628#520—91no—
629C24×C3—32no—
630C23×D3—31no—
631C23×D3—31no—
632C23×D3—32no—
633C23×D3—32no—
634C23×D3—32no—
635C23×D3—32no—
636C23×D3—32no—
637C23×D3—32no—
638C23×D3—61no—
639C23×D3C22×D312yes—
640C3×#41—64no—
641C3×#41—64no—
642C3×#41—64no—
643C2×C3×Q8—31no—
644C2×C3×Q8—31no—
645C2×C3×D4—21no—
646C2×C3×D4—32no—
647C2×C3×D4—32no—
648C2×C3×D4—32no—
649C2×C3×D4—32no—
650C2×C3×D4—32no—
651C2×C3×D4—32no—
652C2×C3×D4—31no—
653C2×C3×D4—31no—
654C2×C3×D4—32no—
655C2×C3×D4—31no—
656C2×C3×D4—31no—
657C2×C3×D4—32no—
658C2×C3×D4—32no—
659C2×C3×D4—64no—
660C2×C3×D4C22×D311yescharacteristic
661C2×C3×D4C22×D311yescharacteristic
662C22×C3×C4—21no—
663C22×C3×C4—21no—
664C22×C3×C4—32no—
665C22×C3×C4—32no—
666C22×C3×C4—32no—
667C22×C3×C4—32no—
668C22×C3×C4C22×D311yescharacteristic
669C22×C3×C4C22×D311yescharacteristic
670C22×C3×C4C22×D311yescharacteristic
671C22×C3×C4C22×D311yescharacteristic
672C2×#67—31no—
673C2×#67—31no—
674C2×#67—31no—
675C2×#67—31no—
676C2×#67—31no—
677C2×#67—31no—
678C2×#67—32no—
679C2×#67—32no—
680C2×#67—32no—
681C2×#67—32no—
682C2×#67—32no—
683C2×#67—32no—
684C2×#67—31no—
685C2×#67—31no—
686C2×#67—32no—
687C2×#67—32no—
688C2×#67—32no—
689C2×#67—32no—
690C2×#67—32no—
691C2×#67—32no—
692C2×#67—32no—
693C2×#67—32no—
694C2×#67—32no—
695C2×#67—32no—
696C2×#67—61no—
697C2×#67—61no—
698C2×#67—61no—
699C2×#67—61no—
700C2×#67—68no—
701C2×#67—68no—
702C2×#67—124no—
703C2×#67C22×D312yes—
704C2×#67C22×D312yes—
705C2×#67C22×D312yes—
706C2×#67C22×D312yes—
707C2×#67C22×D312yes—
708C2×#67C22×D312yes—
709C22×Dic3—32no—
710C22×Dic3—31no—
711C22×Dic3—31no—
712C22×Dic3—32no—
713C22×Dic3—32no—
714C22×Dic3—32no—
715C22×Dic3—61no—
716#239—38no—
717#239—64no—
718#239—64no—
719D3×Q8—64no—
720D3×Q8—64no—
721#237—38no—
722#237—64no—
723#237—68no—
724#237—68no—
725#237—68no—
726#237—64no—
727D3×D4—68no—
728D3×D4—64no—
729D3×D4—64no—
730D3×D4—68no—
731D3×D4—64no—
732D3×D4—64no—
733D3×D4—68no—
734D3×D4—68no—
735D3×D4—68no—
736D3×D4—64no—
737D3×D4—64no—
738D3×D4—124no—
739D3×D4—124no—
740D3×D4—124no—
741D3×D4—124no—
742#235—24no—
743#235—24no—
744#235—24no—
745#235—68no—
746#235—68no—
747#235—68no—
748#235—64no—
749#235—64no—
750#235—124no—
751C2×D12—24no—
752C2×D12—32no—
753C2×D12—32no—
754C2×D12—32no—
755C2×D12—32no—
756C2×D12—32no—
757C2×D12—31no—
758C2×D12—31no—
759C2×D12—31no—
760C2×D12—31no—
761C2×D12—32no—
762C2×D12—61no—
763C2×D12—61no—
764C2×D12—68no—
765C2×D12—124no—
766C2×D12C22×D311yescharacteristic
767C2×D12C22×D311yescharacteristic
768C2×D12C22×D311yescharacteristic
769C2×D12C22×D312yes—
770C2×D12C22×D312yes—
771C2×D12C22×D312yes—
772C2×D12C22×D311yescharacteristic
773C2×C4×D3—32no—
774C2×C4×D3—31no—
775C2×C4×D3—31no—
776C2×C4×D3—32no—
777C2×C4×D3—32no—
778C2×C4×D3—31no—
779C2×C4×D3—31no—
780C2×C4×D3—31no—
781C2×C4×D3—31no—
782C2×C4×D3—31no—
783C2×C4×D3—31no—
784C2×C4×D3—31no—
785C2×C4×D3—31no—
786C2×C4×D3—32no—
787C2×C4×D3—32no—
788C2×C4×D3—32no—
789C2×C4×D3—32no—
790C2×C4×D3—32no—
791C2×C4×D3—61no—
792C2×C4×D3—61no—
793C2×C4×D3—61no—
794C2×C4×D3—61no—
795C2×C4×D3—61no—
796C2×C4×D3—68no—
797C2×C4×D3—68no—
798C2×C4×D3—64no—
799C2×C4×D3—64no—
800C2×C4×D3—124no—
801C2×C4×D3C22×D312yes—
802C2×C4×D3C22×D312yes—
803C2×C4×D3C22×D312yes—
804C2×C4×D3C22×D312yes—
805C2×Dic6—31no—
806C2×Dic6—31no—
807C2×Dic6—32no—
808C2×Dic6—32no—
809C2×Dic6—61no—
810C2×Dic6C22×D311yescharacteristic
811C2×Dic6C22×D311yescharacteristic
812C3×C4⋊C4—21no—
813C3×C4⋊C4—31no—
814C3×C4⋊C4—32no—
815C3×C4⋊C4—31no—
816C3×C4⋊C4—32no—
817C3×C4⋊C4C22×D311yescharacteristic
818C3×C4⋊C4C22×D311yescharacteristic
819C3×C22⋊C4—21no—
820C3×C22⋊C4—21no—
821C3×C22⋊C4—32no—
822C3×C22⋊C4—32no—
823C3×C22⋊C4—32no—
824C3×C22⋊C4—32no—
825C3×C22⋊C4—32no—
826C3×C22⋊C4—32no—
827C3×C22⋊C4—32no—
828C3×C22⋊C4C22×D311yescharacteristic
829C3×C22⋊C4C22×D311yescharacteristic
830C3×C22⋊C4C22×D311yescharacteristic
831C3×C22⋊C4C22×D311yescharacteristic
832C3×C42—21no—
833C3×C42—32no—
834C3×C42C22×D311yescharacteristic
835C3×C42C22×D311yescharacteristic
836#217—31no—
837#217—31no—
838#217—31no—
839#217—31no—
840#217—32no—
841#217—32no—
842#217—32no—
843#217—32no—
844#217—32no—
845#217—32no—
846#217—61no—
847#217—61no—
848#217C22×D312yes—
849(C2×D3)⋊C4—32no—
850(C2×D3)⋊C4—32no—
851(C2×D3)⋊C4—32no—
852(C2×D3)⋊C4—32no—
853(C2×D3)⋊C4—32no—
854(C2×D3)⋊C4—32no—
855(C2×D3)⋊C4—31no—
856(C2×D3)⋊C4—31no—
857(C2×D3)⋊C4—31no—
858(C2×D3)⋊C4—31no—
859(C2×D3)⋊C4—31no—
860(C2×D3)⋊C4—31no—
861(C2×D3)⋊C4—31no—
862(C2×D3)⋊C4—31no—
863(C2×D3)⋊C4—31no—
864(C2×D3)⋊C4—31no—
865(C2×D3)⋊C4—31no—
866(C2×D3)⋊C4—31no—
867(C2×D3)⋊C4—32no—
868(C2×D3)⋊C4—32no—
869(C2×D3)⋊C4—61no—
870(C2×D3)⋊C4—61no—
871(C2×D3)⋊C4—61no—
872(C2×D3)⋊C4—61no—
873(C2×D3)⋊C4—61no—
874(C2×D3)⋊C4—61no—
875(C2×D3)⋊C4C22×D312yes—
876(C2×D3)⋊C4C22×D312yes—
877(C2×D3)⋊C4C22×D312yes—
878(C2×D3)⋊C4C22×D312yes—
879(C2×D3)⋊C4C22×D312yes—
880(C2×D3)⋊C4C22×D312yes—
881C4⋊Dic3—31no—
882C4⋊Dic3—31no—
883C4⋊Dic3—32no—
884C4⋊Dic3—32no—
885C4⋊Dic3—61no—
886C4⋊Dic3C22×D311yescharacteristic
887C4⋊Dic3C22×D311yescharacteristic
888Dic3⋊C4—31no—
889Dic3⋊C4—31no—
890Dic3⋊C4—31no—
891Dic3⋊C4—31no—
892Dic3⋊C4—31no—
893Dic3⋊C4—31no—
894Dic3⋊C4—31no—
895Dic3⋊C4—31no—
896Dic3⋊C4—32no—
897Dic3⋊C4—32no—
898Dic3⋊C4—32no—
899Dic3⋊C4—32no—
900Dic3⋊C4—61no—
901Dic3⋊C4—61no—
902Dic3⋊C4—61no—
903Dic3⋊C4—61no—
904Dic3⋊C4C22×D312yes—
905Dic3⋊C4C22×D312yes—
906C4×Dic3—31no—
907C4×Dic3—31no—
908C4×Dic3—32no—
909C4×Dic3—32no—
910C4×Dic3—61no—
911C4×Dic3C22×D312yes—
912C22×C32—21no—
913C22×C32—21no—
914C22×C32—21no—
915C22×C32—21no—
916C22×C32—21no—
917C22×C32—21no—
918C22×C32C2511yescharacteristic
919C2×C3⋊D3—21no—
920C2×C3⋊D3—21no—
921C2×C3⋊D3—21no—
922C2×C3⋊D3—21no—
923C2×C3⋊D3—21no—
924C2×C3⋊D3—21no—
925C2×C3⋊D3—21no—
926C2×C3⋊D3—44no—
927C2×C3⋊D3C22×D412yes—
928C2×C3⋊D3H(5,𝔽2)12yescomplemented
929C2×C3×D3—22no—
930C2×C3×D3—22no—
931C2×C3×D3—22no—
932C2×C3×D3—22no—
933C2×C3×D3—22no—
934C2×C3×D3—22no—
935C2×C3×D3—22no—
936C2×C3×D3—22no—
937C2×C3×D3—22no—
938C2×C3×D3—22no—
939C2×C3×D3—22no—
940C2×C3×D3—84no—
941C2×C3×D3C22×D414yes—
942D32—48no—
943D32—84no—
944D32—84no—
945C32×C4—21no—
946C32×C4—21no—
947C32×C4—21no—
948C32×C4—21no—
949C32×C4C22×D412yes—
950C3⋊Dic3—21no—
951C3⋊Dic3—21no—
952C3⋊Dic3—21no—
953C3⋊Dic3—21no—
954C3⋊Dic3C22×D412yes—
955C3×Dic3—22no—
956C3×Dic3—22no—
957C3×Dic3—22no—
958C3×Dic3C22×D414yes—
959H(5,𝔽2)—188no—
960C2×#41—31no—
961C2×#41—31no—
962C2×#41—31no—
963C2×#41—92no—
964C2×#41—92no—
965C2×#41—92no—
966C2×#41—91no—
967C2×#41—91no—
968C2×#41—91no—
969C2×#41—91no—
970C2×#41—188no—
971C22×Q8—91no—
972C22×D4—31no—
973C22×D4—92no—
974C22×D4—92no—
975C22×D4—91no—
976C22×D4—92no—
977C22×D4—91no—
978C22×D4—91no—
979C22×D4—92no—
980C22×D4—92no—
981C22×D4—92no—
982C22×D4—92no—
983C23×C4—92no—
984C23×C4—91no—
985#127—32no—
986#127—31no—
987#127—92no—
988#127—91no—
989#124—31no—
990#124—92no—
991#124—92no—
992#124—91no—
993#123—32no—
994#123—92no—
995#123—91no—
996#123—91no—
997C22⋊Q8—31no—
998C22⋊Q8—92no—
999C22⋊Q8—92no—
1000C22⋊Q8—92no—
1001C22⋊Q8—91no—
1002C22⋊Q8—91no—
1003C22⋊Q8—91no—
1004#121—31no—
1005#121—31no—
1006#121—31no—
1007#121—32no—
1008#121—32no—
1009#121—32no—
1010#121—92no—
1011#121—92no—
1012#121—92no—
1013#121—92no—
1014#121—92no—
1015#121—92no—
1016#121—92no—
1017#121—92no—
1018#121—92no—
1019#121—92no—
1020#121—91no—
1021#121—91no—
1022#121—91no—
1023#121—92no—
1024#121—92no—
1025#121—92no—
1026#121—92no—
1027#121—91no—
1028#121—91no—
1029#120—32no—
1030#120—92no—
1031#120—92no—
1032#120—92no—
1033#120—92no—
1034#120—92no—
1035#120—92no—
1036#120—92no—
1037#120—91no—
1038#120—91no—
1039C4×Q8—31no—
1040C4×Q8—91no—
1041C4×D4—32no—
1042C4×D4—31no—
1043C4×D4—92no—
1044C4×D4—92no—
1045C4×D4—92no—
1046C4×D4—92no—
1047C4×D4—92no—
1048C4×D4—91no—
1049C4×D4—91no—
1050C4×D4—91no—
1051C4×D4—91no—
1052C4×D4D3211yescharacteristic, complemented
1053#117—92no—
1054#117—91no—
1055C2×C4⋊C4—91no—
1056C2×C4⋊C4—92no—
1057C2×C22⋊C4—32no—
1058C2×C22⋊C4—92no—
1059C2×C22⋊C4—92no—
1060C23×C3—21no—
1061C23×C3—21no—
1062C23×C3—32no—
1063C23×C3—32no—
1064C23×C3—32no—
1065C23×C3—32no—
1066C23×C3—64no—
1067C23×C3—122no—
1068C23×C3—122no—
1069C23×C3C23×D311yescharacteristic
1070C23×C3C23×D311yescharacteristic
1071C23×C3C23×D311yescharacteristic
1072C23×C3C23×D311yescharacteristic
1073C22×D3—24no—
1074C22×D3—31no—
1075C22×D3—31no—
1076C22×D3—31no—
1077C22×D3—31no—
1078C22×D3—31no—
1079C22×D3—31no—
1080C22×D3—42no—
1081C22×D3—42no—
1082C22×D3—61no—
1083C22×D3—61no—
1084C22×D3—61no—
1085C22×D3—64no—
1086C22×D3—64no—
1087C22×D3—64no—
1088C22×D3—64no—
1089C22×D3—64no—
1090C22×D3—64no—
1091C22×D3—62no—
1092C22×D3—62no—
1093C22×D3—62no—
1094C22×D3—62no—
1095C22×D3—64no—
1096C22×D3—64no—
1097C22×D3—122no—
1098C22×D3—122no—
1099C22×D3—122no—
1100C22×D3—122no—
1101C22×D3—122no—
1102C22×D3—122no—
1103C22×D3—122no—
1104C22×D3—122no—
1105C22×D3—122no—
1106C22×D3—122no—
1107C22×D3—122no—
1108C22×D3—122no—
1109C22×D3—121no—
1110C22×D3—121no—
1111C22×D3—122no—
1112C22×D3C23×D312yes—
1113C22×D3C23×D312yes—
1114C22×D3C23×D312yes—
1115C22×D3C23×D312yes—
1116C3×Q8—34no—
1117C3×Q8—62no—
1118C3×D4—34no—
1119C3×D4—41no—
1120C3×D4—41no—
1121C3×D4—42no—
1122C3×D4—64no—
1123C3×D4—64no—
1124C3×D4—64no—
1125C3×D4—64no—
1126C3×D4—62no—
1127C3×D4—62no—
1128C3×D4—62no—
1129C3×D4—122no—
1130C3×D4—122no—
1131C3×D4—122no—
1132C3×D4—122no—
1133C3×D4—122no—
1134C2×C3×C4—22no—
1135C2×C3×C4—22no—
1136C2×C3×C4—22no—
1137C2×C3×C4—22no—
1138C2×C3×C4—21no—
1139C2×C3×C4—21no—
1140C2×C3×C4—21no—
1141C2×C3×C4—21no—
1142C2×C3×C4—21no—
1143C2×C3×C4—32no—
1144C2×C3×C4—32no—
1145C2×C3×C4—32no—
1146C2×C3×C4—32no—
1147C2×C3×C4—42no—
1148C2×C3×C4—42no—
1149C2×C3×C4—64no—
1150C2×C3×C4—64no—
1151C2×C3×C4—64no—
1152C2×C3×C4—122no—
1153C2×C3×C4C23×D311yescharacteristic
1154C2×C3×C4C23×D311yescharacteristic
1155C2×C3×C4C23×D311yescharacteristic
1156C2×C3×C4C23×D311yescharacteristic
1157C2×C3×C4C23×D311yescharacteristic
1158C2×C3×C4C23×D311yescharacteristic
1159C2×C3×C4C23×D311yescharacteristic
1160C2×C3×C4C23×D311yescharacteristic
1161C2×C3×C4C23×D311yescharacteristic
1162C2×C3×C4C23×D311yescharacteristic
1163#67—24no—
1164#67—24no—
1165#67—24no—
1166#67—38no—
1167#67—42no—
1168#67—42no—
1169#67—42no—
1170#67—64no—
1171#67—64no—
1172#67—64no—
1173#67—64no—
1174#67—64no—
1175#67—62no—
1176#67—62no—
1177#67—64no—
1178#67—64no—
1179#67—62no—
1180#67—62no—
1181#67—62no—
1182#67—62no—
1183#67—64no—
1184#67—64no—
1185#67—64no—
1186#67—122no—
1187#67—122no—
1188#67—122no—
1189#67—122no—
1190#67—122no—
1191#67—122no—
1192#67—122no—
1193#67—122no—
1194#67—121no—
1195#67—121no—
1196#67—122no—
1197C2×Dic3—31no—
1198C2×Dic3—31no—
1199C2×Dic3—38no—
1200C2×Dic3—31no—
1201C2×Dic3—31no—
1202C2×Dic3—31no—
1203C2×Dic3—31no—
1204C2×Dic3—31no—
1205C2×Dic3—31no—
1206C2×Dic3—31no—
1207C2×Dic3—31no—
1208C2×Dic3—61no—
1209C2×Dic3—61no—
1210C2×Dic3—61no—
1211C2×Dic3—61no—
1212C2×Dic3—61no—
1213C2×Dic3—64no—
1214C2×Dic3—62no—
1215C2×Dic3—62no—
1216C2×Dic3—64no—
1217C2×Dic3—122no—
1218C2×Dic3—122no—
1219C2×Dic3C23×D312yes—
1220C2×Dic3C23×D312yes—
1221C2×Dic3C23×D312yes—
1222C2×Dic3C23×D312yes—
1223D12—24no—
1224D12—22no—
1225D12—22no—
1226D12—22no—
1227D12—38no—
1228D12—42no—
1229D12—42no—
1230D12—62no—
1231D12—62no—
1232D12—62no—
1233D12—62no—
1234D12—64no—
1235D12—64no—
1236D12—64no—
1237D12—64no—
1238D12—122no—
1239D12—122no—
1240D12—122no—
1241D12D3×D414yescomplemented
1242C4×D3—24no—
1243C4×D3—24no—
1244C4×D3—24no—
1245C4×D3—38no—
1246C4×D3—34no—
1247C4×D3—34no—
1248C4×D3—42no—
1249C4×D3—64no—
1250C4×D3—64no—
1251C4×D3—62no—
1252C4×D3—62no—
1253C4×D3—64no—
1254C4×D3—62no—
1255C4×D3—62no—
1256C4×D3—64no—
1257C4×D3—62no—
1258C4×D3—62no—
1259C4×D3—62no—
1260C4×D3—62no—
1261C4×D3—64no—
1262C4×D3—122no—
1263C4×D3—122no—
1264C4×D3—122no—
1265C4×D3—122no—
1266C4×D3—122no—
1267C4×D3—122no—
1268C4×D3—122no—
1269Dic6—22no—
1270Dic6—64no—
1271Dic6—62no—
1272Dic6—62no—
1273Dic6—64no—
1274Dic6—122no—
1275Dic6D3×D414yescomplemented
1276C2×C32—41no—
1277C2×C32—41no—
1278C2×C32C23×D411yescharacteristic
1279C2×C32C2×H(5,𝔽2)11yescharacteristic
1280C2×C32#58511yescharacteristic
1281C3⋊D3—22no—
1282C3⋊D3—22no—
1283C3⋊D3—41no—
1284C3×D3—24no—
1285C3×D3—42no—
1286C3×D3—42no—
1287C3×D3—42no—
1288C24—32no—
1289C24—92no—
1290C24—92no—
1291C24—92no—
1292C24—91no—
1293#41—64no—
1294#41—64no—
1295#41—64no—
1296#41—98no—
1297#41—184no—
1298#41—188no—
1299#41—188no—
1300#41—188no—
1301#41—184no—
1302#41—184no—
1303C2×Q8—31no—
1304C2×Q8—31no—
1305C2×Q8—92no—
1306C2×Q8—91no—
1307C2×Q8—184no—
1308C2×D4—32no—
1309C2×D4—32no—
1310C2×D4—32no—
1311C2×D4—32no—
1312C2×D4—32no—
1313C2×D4—32no—
1314C2×D4—31no—
1315C2×D4—32no—
1316C2×D4—31no—
1317C2×D4—31no—
1318C2×D4—31no—
1319C2×D4—32no—
1320C2×D4—32no—
1321C2×D4—64no—
1322C2×D4—92no—
1323C2×D4—92no—
1324C2×D4—92no—
1325C2×D4—92no—
1326C2×D4—92no—
1327C2×D4—92no—
1328C2×D4—92no—
1329C2×D4—92no—
1330C2×D4—92no—
1331C2×D4—91no—
1332C2×D4—91no—
1333C2×D4—91no—
1334C2×D4—92no—
1335C2×D4—92no—
1336C2×D4—91no—
1337C2×D4—91no—
1338C2×D4—91no—
1339C2×D4—188no—
1340C2×D4—184no—
1341C2×D4—188no—
1342C2×D4—184no—
1343C2×D4—184no—
1344C2×D4—188no—
1345C2×D4—188no—
1346C2×D4—364no—
1347C2×D4—364no—
1348C2×D4—364no—
1349C2×D4C2×D3211yescharacteristic
1350C22×C4—32no—
1351C22×C4—32no—
1352C22×C4—32no—
1353C22×C4—32no—
1354C22×C4—92no—
1355C22×C4—92no—
1356C22×C4—92no—
1357C22×C4—92no—
1358C22×C4—92no—
1359C22×C4—92no—
1360C22×C4—91no—
1361C22×C4—91no—
1362C22×C4—91no—
1363C22×C4—91no—
1364C22×C4—91no—
1365C22×C4—91no—
1366C22×C4—184no—
1367C22×C4—188no—
1368C22×C4C2×D3211yescharacteristic
1369C22×C4C2×D3211yescharacteristic
1370C4⋊C4—31no—
1371C4⋊C4—32no—
1372C4⋊C4—31no—
1373C4⋊C4—32no—
1374C4⋊C4—92no—
1375C4⋊C4—92no—
1376C4⋊C4—92no—
1377C4⋊C4—91no—
1378C4⋊C4—91no—
1379C4⋊C4—91no—
1380C4⋊C4—91no—
1381C4⋊C4—91no—
1382C4⋊C4C2×D3211yescharacteristic
1383C22⋊C4—32no—
1384C22⋊C4—32no—
1385C22⋊C4—32no—
1386C22⋊C4—32no—
1387C22⋊C4—32no—
1388C22⋊C4—32no—
1389C22⋊C4—32no—
1390C22⋊C4—92no—
1391C22⋊C4—92no—
1392C22⋊C4—92no—
1393C22⋊C4—92no—
1394C22⋊C4—92no—
1395C22⋊C4—92no—
1396C22⋊C4—92no—
1397C22⋊C4—91no—
1398C22⋊C4—91no—
1399C22⋊C4—91no—
1400C22⋊C4—91no—
1401C22⋊C4—91no—
1402C22⋊C4—91no—
1403C22⋊C4—91no—
1404C22⋊C4—91no—
1405C22⋊C4C2×D3211yescharacteristic
1406C22⋊C4C2×D3211yescharacteristic
1407C42—32no—
1408C42—92no—
1409C42—91no—
1410C42C2×D3211yescharacteristic
1411C22×C3—22no—
1412C22×C3—21no—
1413C22×C3—21no—
1414C22×C3—21no—
1415C22×C3—21no—
1416C22×C3—21no—
1417C22×C3—21no—
1418C22×C3—21no—
1419C22×C3—21no—
1420C22×C3—21no—
1421C22×C3—21no—
1422C22×C3—21no—
1423C22×C3—21no—
1424C22×C3—21no—
1425C22×C3—34no—
1426C22×C3—41no—
1427C22×C3—41no—
1428C22×C3—41no—
1429C22×C3—41no—
1430C22×C3—41no—
1431C22×C3—62no—
1432C22×C3—62no—
1433C22×C3—62no—
1434C22×C3—62no—
1435C22×C3—62no—
1436C22×C3—62no—
1437C22×C3—62no—
1438C22×C3—62no—
1439C22×C3—62no—
1440C22×C3—62no—
1441C22×C3—62no—
1442C22×C3—244no—
1443C22×C3C24×D311yescharacteristic
1444C22×C3C24×D311yescharacteristic
1445C2×D3—22no—
1446C2×D3—22no—
1447C2×D3—22no—
1448C2×D3—22no—
1449C2×D3—22no—
1450C2×D3—22no—
1451C2×D3—22no—
1452C2×D3—22no—
1453C2×D3—22no—
1454C2×D3—22no—
1455C2×D3—22no—
1456C2×D3—32no—
1457C2×D3—32no—
1458C2×D3—32no—
1459C2×D3—32no—
1460C2×D3—62no—
1461C2×D3—62no—
1462C2×D3—61no—
1463C2×D3—61no—
1464C2×D3—61no—
1465C2×D3—61no—
1466C2×D3—61no—
1467C2×D3—61no—
1468C2×D3—61no—
1469C2×D3—61no—
1470C2×D3—61no—
1471C2×D3—61no—
1472C2×D3—61no—
1473C2×D3—61no—
1474C2×D3—61no—
1475C2×D3—61no—
1476C2×D3—84no—
1477C2×D3—121no—
1478C2×D3—121no—
1479C2×D3—121no—
1480C2×D3—121no—
1481C2×D3—121no—
1482C2×D3—121no—
1483C2×D3—121no—
1484C2×D3—128no—
1485C2×D3—128no—
1486C2×D3—124no—
1487C2×D3—124no—
1488C2×D3—128no—
1489C2×D3—244no—
1490C2×D3—244no—
1491C2×D3—244no—
1492C2×D3—244no—
1493C2×D3C2×D3×D414yes—
1494C3×C4—21no—
1495C3×C4—21no—
1496C3×C4—21no—
1497C3×C4—21no—
1498C3×C4—21no—
1499C3×C4—21no—
1500C3×C4—21no—
1501C3×C4—21no—
1502C3×C4—22no—
1503C3×C4—34no—
1504C3×C4—41no—
1505C3×C4—41no—
1506C3×C4—41no—
1507C3×C4—41no—
1508C3×C4—62no—
1509C3×C4—62no—
1510C3×C4—62no—
1511C3×C4C2×D3×D412yes—
1512C3×C4C2×D3×D412yes—
1513Dic3—22no—
1514Dic3—22no—
1515Dic3—22no—
1516Dic3—32no—
1517Dic3—32no—
1518Dic3—62no—
1519Dic3—61no—
1520Dic3—61no—
1521Dic3—61no—
1522Dic3—61no—
1523Dic3—61no—
1524Dic3—61no—
1525Dic3—61no—
1526Dic3—61no—
1527Dic3—121no—
1528Dic3—121no—
1529Dic3—121no—
1530Dic3—121no—
1531Dic3C2×D3×D414yes—
1532C32#348811yescharacteristic, complemented, Sylow
1533C23—32no—
1534C23—32no—
1535C23—32no—
1536C23—32no—
1537C23—64no—
1538C23—91no—
1539C23—91no—
1540C23—91no—
1541C23—122no—
1542C23—122no—
1543C23—182no—
1544C23—182no—
1545C23—184no—
1546C23—184no—
1547C23—184no—
1548C23—184no—
1549C23—361no—
1550C23—362no—
1551C23—362no—
1552C23—362no—
1553C23—362no—
1554C23—362no—
1555C23C22×D3211yescharacteristic
1556C23C22×D3211yescharacteristic
1557Q8—34no—
1558Q8—62no—
1559Q8—182no—
1560Q8—184no—
1561D4—34no—
1562D4—41no—
1563D4—64no—
1564D4—64no—
1565D4—64no—
1566D4—64no—
1567D4—62no—
1568D4—62no—
1569D4—62no—
1570D4—98no—
1571D4—122no—
1572D4—122no—
1573D4—122no—
1574D4—122no—
1575D4—122no—
1576D4—182no—
1577D4—182no—
1578D4—184no—
1579D4—184no—
1580D4—184no—
1581D4—184no—
1582D4—182no—
1583D4—184no—
1584D4—182no—
1585D4—182no—
1586D4—184no—
1587D4—184no—
1588D4—362no—
1589D4—361no—
1590D4—362no—
1591D4—362no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—32no—
1595C2×C4—32no—
1596C2×C4—32no—
1597C2×C4—32no—
1598C2×C4—64no—
1599C2×C4—64no—
1600C2×C4—64no—
1601C2×C4—98no—
1602C2×C4—91no—
1603C2×C4—94no—
1604C2×C4—91no—
1605C2×C4—91no—
1606C2×C4—91no—
1607C2×C4—91no—
1608C2×C4—122no—
1609C2×C4—182no—
1610C2×C4—182no—
1611C2×C4—184no—
1612C2×C4—184no—
1613C2×C4—184no—
1614C2×C4—182no—
1615C2×C4—182no—
1616C2×C4—182no—
1617C2×C4—362no—
1618C2×C4—362no—
1619C2×C4C22×D3211yescharacteristic
1620C2×C4C22×D3211yescharacteristic
1621C2×C4C22×D3211yescharacteristic
1622C2×C4C22×D3211yescharacteristic
1623C2×C4C22×D3211yescharacteristic
1624C2×C3—21no—
1625C2×C3—21no—
1626C2×C3—21no—
1627C2×C3—42no—
1628C2×C3—41no—
1629C2×C3—41no—
1630C2×C3—41no—
1631C2×C3—41no—
1632C2×C3—64no—
1633C2×C3—81no—
1634C2×C3—122no—
1635C2×C3—122no—
1636C2×C3—122no—
1637C2×C3C22×D3×D411yescharacteristic
1638C2×C3C22×D3×D411yescharacteristic
1639C2×C3#596411yescharacteristic
1640C2×C3#596411yescharacteristic
1641C2×C3D3×H(5,𝔽2)11yescharacteristic
1642C2×C3D3×H(5,𝔽2)11yescharacteristic
1643D3—24no—
1644D3—42no—
1645D3—42no—
1646D3—42no—
1647D3—62no—
1648D3—62no—
1649D3—62no—
1650D3—62no—
1651D3—122no—
1652D3—122no—
1653D3—121no—
1654D3—121no—
1655D3—241no—
1656C22—21no—
1657C22—21no—
1658C22—21no—
1659C22—21no—
1660C22—21no—
1661C22—21no—
1662C22—34no—
1663C22—62no—
1664C22—62no—
1665C22—62no—
1666C22—62no—
1667C22—62no—
1668C22—62no—
1669C22—62no—
1670C22—62no—
1671C22—62no—
1672C22—62no—
1673C22—62no—
1674C22—92no—
1675C22—92no—
1676C22—181no—
1677C22—181no—
1678C22—181no—
1679C22—181no—
1680C22—181no—
1681C22—181no—
1682C22—181no—
1683C22—244no—
1684C22—364no—
1685C22—368no—
1686C22—724no—
1687C22—724no—
1688C22C23×D3211yescharacteristic
1689C4—21no—
1690C4—21no—
1691C4—21no—
1692C4—21no—
1693C4—34no—
1694C4—62no—
1695C4—62no—
1696C4—62no—
1697C4—92no—
1698C4—181no—
1699C4—181no—
1700C4—181no—
1701C4—181no—
1702C4D32×D412yes—
1703C3—21no—
1704C3#8662911yescharacteristic, complemented
1705C3#8676911yescharacteristic, complemented
1706C2—41no—
1707C2—41no—
1708C2—64no—
1709C2—122no—
1710C2—122no—
1711C2—122no—
1712C2—182no—
1713C2—182no—
1714C2—361no—
1715C2#1059666911yescharacteristic
1716C2C2×D32×D411yescharacteristic
1717C2#1059669211yescharacteristic
subgroupG/H
center, FrattiniC22C23×D32
commutator, socle, cosocleC22×C32C25
FittingC32×C4×D4C22
hypercenterC4×D4D32
hypocenterC32#3488
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C22 ◁ C4×D4

Complements

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

NH ≅ G/Ntype
1. C2×#64307C2semidirect
2. C2×#64306C2semidirect
3. #10596018C2semidirect
4. C3×#5553C2semidirect
5. C3×#5550C2semidirect
6. #10595295C2semidirect
7. #10595286C2semidirect
8. #10595081C2semidirect
9. #10595070C2semidirect
10. #10595069C2semidirect
11. #10595006C2semidirect
12. #10594923C2semidirect
13. #10594830C2semidirect
14. #10594619C2semidirect
15. #10594614C2semidirect
16. #10594284C2semidirect
17. #10594278C2semidirect
18. D3×#884C2semidirect
19. #10594060C2semidirect
20. #10594010C2semidirect
21. #10594004C2semidirect
22. #10593901C2semidirect
23. #10593889C2semidirect
26. C2×#3828C22semidirect
27. C22×C4×C3⋊D3C22semidirect
28. C2×C3×#235C22semidirect
29. C2×C3×#235C22semidirect
30. C2×C3×#235C22semidirect
31. C22×C3×D12C22semidirect
32. C2×#3811C22semidirect
33. C2×#3811C22semidirect
34. C2×D3×#67C22semidirect
35. C2×D3×#67C22semidirect
36. C2×D3×#67C22semidirect
37. C2×#3805C22semidirect
40. C2×#3802C22semidirect
41. C2×#3802C22semidirect
42. C2×#3802C22semidirect
43. C2×D3×D12C22semidirect
44. C2×D3×D12C22semidirect
45. C2×C4×D32C22semidirect
46. C2×#3798C22semidirect
47. C2×#3797C22semidirect
49. C2×#3796C22semidirect
50. C2×#3796C22semidirect
51. C2×#3795C22semidirect
52. C32×C4×D4C22semidirect
53. #64148C22semidirect
54. #64146C22semidirect
55. C4×#638C22semidirect
56. C4×#638C22semidirect
57. #64105C22semidirect
58. #64103C22semidirect
59. #64093C22semidirect
60. #64092C22semidirect
61. #64091C22semidirect
62. #64087C22semidirect
63. C4×C4⋊(C3⋊D3)C22semidirect
64. #64081C22semidirect
65. C3×#940C22semidirect
66. C3×#937C22semidirect
67. C3×#930C22semidirect
68. C3×#930C22semidirect
69. C3×#930C22semidirect
70. C3×#924C22semidirect
71. C3×#894C22semidirect
72. C3×#893C22semidirect
73. C3×#884C22semidirect
74. C3×#884C22semidirect
75. C3×#884C22semidirect
76. C3×D3×C22⋊C4C22semidirect
77. C3×#875C22semidirect
78. C3×#874C22semidirect
79. C3×C4×D12C22semidirect
80. C3×C4×Dic6C22semidirect
81. #63983C22semidirect
82. #63980C22semidirect
83. #63979C22semidirect
84. #63976C22semidirect
85. #63971C22semidirect
86. #63970C22semidirect
87. #63970C22semidirect
88. #63959C22semidirect
89. #63958C22semidirect
90. #63958C22semidirect
91. #63922C22semidirect
92. #63922C22semidirect
93. #63922C22semidirect
94. #63922C22semidirect
95. #63922C22semidirect
96. #63921C22semidirect
97. D3×(C2×D3)⋊C4C22semidirect
98. #63916C22semidirect
99. #63916C22semidirect
100. #63916C22semidirect
101. #63914C22semidirect
102. #63912C22semidirect
103. #63910C22semidirect
104. #63910C22semidirect
105. #63908C22semidirect
106. #63906C22semidirect
107. #63905C22semidirect
108. #63904C22semidirect
109. #63904C22semidirect
110. #63900C22semidirect
111. #63898C22semidirect
112. #63896C22semidirect
113. #63893C22semidirect
114. #63885C22semidirect
115. #63885C22semidirect
116. #63885C22semidirect
117. #63880C22semidirect
118. #63880C22semidirect
119. #63879C22semidirect
120. #63877C22semidirect
121. D3×Dic3⋊C4C22semidirect
122. #63871C22semidirect
123. #63863C22semidirect
124. #63852C22semidirect
125. #63851C22semidirect
126. #63843C22semidirect
163. #5553D3semidirect
165. #5550D3semidirect
254. #3796D4semidirect
341. C2×#235C2×D3semidirect
342. C2×#235C2×D3semidirect
343. C2×#235C2×D3semidirect
346. C22×D12C2×D3semidirect
368. C3×C4×D4C2×D3semidirect
369. C3×C4×D4C2×D3semidirect
379. #940C2×D3semidirect
410. #937C2×D3semidirect
416. #930C2×D3semidirect
417. #930C2×D3semidirect
418. #930C2×D3semidirect
431. #924C2×D3semidirect
448. #894C2×D3semidirect
452. #893C2×D3semidirect
473. #884C2×D3semidirect
474. #884C2×D3semidirect
475. #884C2×D3semidirect
494. D3×C22⋊C4C2×D3semidirect
502. #875C2×D3semidirect
503. #874C2×D3semidirect
509. C4×D12C2×D3semidirect
514. C4×Dic6C2×D3semidirect
563. C4×C3⋊D3C2×D4semidirect
581. C3×D12C2×D4semidirect
587. C3×Dic6C2×D4semidirect
594. #626C2×D4semidirect
605. D3×Dic3C2×D4semidirect
928. C2×C3⋊D3H(5,𝔽2)semidirect
1052. C4×D4D32semidirect
1241. D12D3×D4semidirect
1275. Dic6D3×D4semidirect
1532. C32#3488semidirect
1704. C3#86629semidirect
1705. C3#86769semidirect

Maximal subgroups

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

subgroupindex
C2×#643072
C2×#643062
#105960182
C3×#55532
C3×#55502
#105952952
#105952862
#105950812
#105950702
#105950692
#105950062
#105949232
#105948302
#105946192
#105946142
#105942842
#105942782
D3×#8842
#105940602
#105940102
#105940042
#105939012
#105938892
#867693
#866293