Finite Group Databasebeta

← #11904682

Subgroups — #11904682

Order 1152.

3472 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×#237C211yesmaximal, characteristic, complemented
2C2×#64307C211yesmaximal, characteristic, complemented
3#10596070C211yesmaximal, characteristic, complemented
4C3×#5609C211yesmaximal, characteristic, complemented
5C3×#5608C211yesmaximal, characteristic, complemented
6#10595303C211yesmaximal, characteristic, complemented
7#10595290C212yesmaximal, complemented
8#10595288C211yesmaximal, characteristic, complemented
9#10595288C212yesmaximal, complemented
10#10595285C212yesmaximal, complemented
11D3×#939C212yesmaximal, complemented
12#10595164C211yesmaximal, characteristic, complemented
13#10595060C211yesmaximal, characteristic, complemented
14#10594916C211yesmaximal, characteristic, complemented
15#10594889C211yesmaximal, characteristic, complemented
16#10594629C211yesmaximal, characteristic, complemented
17D3×#895C211yesmaximal, characteristic, complemented
18#10594525C211yesmaximal, characteristic, complemented
19#10594359C211yesmaximal, characteristic, complemented
20#10594276C212yesmaximal, complemented
21#10594275C212yesmaximal, complemented
22#10594059C212yesmaximal, complemented
23#10594055C212yesmaximal, complemented
24#86607—31nomaximal
25#86379—31nomaximal
26C2×#3830C2211yescharacteristic, complemented
27C2×#3828C2211yescharacteristic, complemented
28C2×C3×#237C2211yescharacteristic, complemented
29C2×C3×D3×D4C2211yescharacteristic, complemented
30C2×C3×D3×D4C2212yescomplemented
31C2×C3×#235C2211yescharacteristic, complemented
32C22×C3×D12C2211yescharacteristic, complemented
33C2×D3×#67C2212yescomplemented
34C2×D3×#67C2212yescomplemented
35C2×D3×#67C2212yescomplemented
36C2×D3×#67C2212yescomplemented
37C2×#3805C2212yescomplemented
38C2×#3804C2212yescomplemented
39C22×D3×Dic3C2212yescomplemented
40D3×#237—28no—
41#64307—28no—
42C2×#3802C2212yescomplemented
43C2×D3×D12C2211yescharacteristic, complemented
44C2×D3×D12C2211yescharacteristic, complemented
45C2×D3×D12C2212yescomplemented
46C2×C4×D32C2211yescharacteristic, complemented
47C2×#3796C2212yescomplemented
48C2×#3796C2211yescharacteristic, complemented
49C2×#3795C2211yescharacteristic
50C2×#3795C2211yescharacteristic, complemented
51C2×D3×Dic6C2211yescharacteristic, complemented
52C32×#121C2211yescharacteristic, complemented
53#64149C2212yescomplemented
54#64149C2211yescharacteristic, complemented
55#64148C2212yescomplemented
56C4×#638C2211yescharacteristic, complemented
57#64104C2211yescharacteristic, complemented
58#64096C2211yescharacteristic, complemented
59#64093C2212yescomplemented
60#64090C2212yescomplemented
61C3×#940C2211yescharacteristic, complemented
62C3×#939C2212yescomplemented
63C3×#938C2211yescharacteristic, complemented
64C3×#938C2212yescomplemented
65C3×#937C2212yescomplemented
66C3×C4×#67C2211yescharacteristic, complemented
67C3×#924C2211yescharacteristic, complemented
68C3×#897C2211yescharacteristic, complemented
69C3×#895C2211yescharacteristic, complemented
70C3×#893C2211yescharacteristic, complemented
71C3×D3×C4⋊C4C2211yescharacteristic, complemented
72C3×#884C2212yescomplemented
73C3×#884C2212yescomplemented
74C3×#882C2212yescomplemented
75C3×#878C2212yescomplemented
76#63983C2212yescomplemented
77#63983C2211yescharacteristic, complemented
78#63983C2212yescomplemented
79#63983C2212yescomplemented
80#63980C2212yescomplemented
81#63979C2212yescomplemented
82#63978C2212yescomplemented
83#63978C2212yescomplemented
84#63977C2212yescomplemented
85#63977C2212yescomplemented
86#67⋊Dic3C2212yescomplemented
87#63971C2212yescomplemented
88#63971C2212yescomplemented
89#63971C2212yescomplemented
90#63970C2211yescharacteristic, complemented
91#63969C2211yescharacteristic, complemented
92D3×#217C2212yescomplemented
93#63958C2211yescharacteristic, complemented
94#63953C2212yescomplemented
95#63923C2212yescomplemented
96#63922C2211yescharacteristic, complemented
97D3×(C2×D3)⋊C4C2212yescomplemented
98D3×(C2×D3)⋊C4C2212yescomplemented
99#63916C2211yescharacteristic, complemented
100#63915C2212yescomplemented
101#63910C2212yescomplemented
102#63909C2212yescomplemented
103#63909C2211yescharacteristic, complemented
104C4×#626C2211yescharacteristic, complemented
105C4×#625C2212yescomplemented
106C4×#625C2211yescharacteristic, complemented
107#63899C2212yescomplemented
108#63898C2212yescomplemented
109#63898C2211yescharacteristic, complemented
110#63890C2212yescomplemented
111#63888C2211yescharacteristic, complemented
112#63887C2211yescharacteristic, complemented
113#63886C2212yescomplemented
114#63886C2212yescomplemented
115#63885C2212yescomplemented
116#63884C2212yescomplemented
117#63884C2211yescharacteristic, complemented
118#63881C2212yescomplemented
119#63879C2212yescomplemented
120#63878C2212yescomplemented
121D3×Dic3⋊C4C2212yescomplemented
122#63865C2212yescomplemented
123#63864C2211yescharacteristic, complemented
124#63863C2211yescharacteristic, complemented
125#63855C2211yescharacteristic, complemented
126#63844C2211yescharacteristic, complemented
127C2×#1009—31no—
128C2×D3×#41—31no—
129C2×#1004—31no—
130C22×#237—31no—
131C3×D42—31no—
132C3×#537—31no—
133#5830—31no—
134#5828—31no—
135#5806—31no—
136C2×#939—32no—
137D4×#67—32no—
138D4×#67—31no—
139#5718—31no—
140#5715—31no—
141#5633—31no—
142#5633—31no—
143#5630—31no—
144#5630—31no—
145#5629—32no—
146#5627—32no—
147#5610—32no—
148#5610—32no—
149#5610—32no—
150#5609—32no—
151#5609—31no—
152#5609—32no—
153#5609D311yescharacteristic, complemented
154#5608D311yescharacteristic, complemented
155#5607—32no—
156D3×#121—32no—
157D3×#121—31no—
158#5599—31no—
159#5599—31no—
160#5599—31no—
161#5599—61no—
162#5598—31no—
163#5597—32no—
164#5592—32no—
165#5591—32no—
166#5590—32no—
167#5586—32no—
168#5554—31no—
169#5552—31no—
170#5547—31no—
171#5546—31no—
172C2×#895—31no—
173#5504—31no—
174C23×C3×D3C2312yes—
175C23×C3×D3C2312yes—
176C22×D32C2311yescharacteristic
177C22×D32C2312yes—
178C22×D32C2312yes—
179C2×C32×D4C2311yescharacteristic
180C2×C32×D4C2312yes—
181C22×C32×C4C2311yescharacteristic
182C2×#638C2312yes—
183C2×#638C2312yes—
184C2×#638C2312yes—
185C2×#638C2312yes—
186C2×#638C2311yescharacteristic
187C22×C3⋊Dic3C2312yes—
188#3830—24no—
189#3828—24no—
190C2×C4⋊(C3⋊D3)C2311yescharacteristic
191C2×C4⋊(C3⋊D3)C2312yes—
192C2×C4×C3⋊D3C2311yescharacteristic
193C2×C4×C3⋊D3C2312yes—
194C2×#634C2311yescharacteristic
195C2×C3×#67C2312yes—
196C2×C3×#67C2312yes—
197C2×C3×#67C2311yescharacteristic
198C2×C3×#67C2311yescharacteristic
199C2×C3×#67C2311yescharacteristic
200C2×C3×#67C2312yes—
201C2×C3×#67C2312yes—
202C2×C3×#67C2312yes—
203C22×C3×Dic3C2312yes—
204C3×#237—24no—
205C3×D3×D4—24no—
206C3×D3×D4—44no—
207C3×#235—24no—
208C2×C3×D12—24no—
209C2×C3×D12C2312yes—
210C2×C3×D12C2312yes—
211C2×C3×D12C2311yescharacteristic
212C2×C3×D12C2311yescharacteristic
213C2×C3×D12C2311yescharacteristic
214C2×C3×C4×D3C2311yescharacteristic
215C2×C3×C4×D3C2311yescharacteristic
216C2×C3×C4×D3C2312yes—
217C2×C3×C4×D3C2312yes—
218C2×C3×C4×D3C2311yescharacteristic
219C2×C3×Dic6C2311yescharacteristic
220C2×C3×Dic6C2311yescharacteristic
221D3×#67—28no—
222D3×#67—28no—
223D3×#67—28no—
224D3×#67—44no—
225C2×#627C2312yes—
226C2×#626C2312yes—
227C2×#626C2312yes—
228C2×#626C2312yes—
229C2×#626C2312yes—
230C2×#626C2312yes—
231C2×#626C2311yescharacteristic
232C2×#625C2312yes—
233C2×#625C2311yescharacteristic
234C2×#625C2312yes—
235C2×#624C2311yescharacteristic
236#3805—28no—
237#3804—28no—
238C2×D3×Dic3—28no—
239C2×D3×Dic3C2312yes—
240C2×D3×Dic3C2312yes—
241C2×D3×Dic3C2312yes—
242C2×D3×Dic3C2311yescharacteristic
243C2×D3×Dic3C2311yescharacteristic
244C2×D3×Dic3C2312yes—
245C2×D3×Dic3C2312yes—
246#3802—28no—
247D3×D12—24no—
248D3×D12—24no—
249D3×D12—44no—
250C4×D32—24no—
251#3796—24no—
252#3796—28no—
253#3795—24no—
254#3795D418yescomplemented
255D3×Dic6—24no—
256C32×C4⋊C4C2311yescharacteristic
257C32×C22⋊C4C2312yes—
258#3757C2311yescharacteristic
259#3752C2312yes—
260#3752C2311yescharacteristic
261#3750C2311yescharacteristic
262#3750C2312yes—
263C4×C3⋊Dic3C2312yes—
264C4×C3⋊Dic3C2311yescharacteristic
265C3×#217C2312yes—
266C3×#217C2312yes—
267C3×#217C2311yescharacteristic
268C3×(C2×D3)⋊C4C2311yescharacteristic
269C3×(C2×D3)⋊C4C2312yes—
270C3×(C2×D3)⋊C4C2312yes—
271C3×(C2×D3)⋊C4C2312yes—
272C3×C4⋊Dic3C2312yes—
273C3×C4⋊Dic3C2311yescharacteristic
274C3×Dic3⋊C4C2312yes—
275C3×Dic3⋊C4C2312yes—
276C3×Dic3⋊C4C2311yescharacteristic
277C3×C4×Dic3C2311yescharacteristic
278#3724C2312yes—
279#3724C2311yescharacteristic
280Dic3⋊Dic3C2311yescharacteristic
281Dic3⋊Dic3C2311yescharacteristic
282Dic3⋊Dic3C2311yescharacteristic
283#3722C2312yes—
284#3722C2312yes—
285#3722C2312yes—
286#3722C2311yescharacteristic
287(C2×D3)⋊Dic3C2311yescharacteristic
288(C2×D3)⋊Dic3C2311yescharacteristic
289(C2×D3)⋊Dic3C2312yes—
290(C2×D3)⋊Dic3C2312yes—
291(C2×D3)⋊Dic3C2312yes—
292(C2×D3)⋊Dic3C2312yes—
293(C2×D3)⋊Dic3C2311yescharacteristic
294(C2×D3)⋊Dic3C2311yescharacteristic
295(C2×D3)⋊Dic3C2311yescharacteristic
296Dic32C2312yes—
297#3488—91noSylow
298C2×C3×#41—31no—
299C2×C3×#41—31no—
300C22×C3×D4—31no—
301C22×C3×D4—32no—
302C22×C3×D4—31no—
303C22×#67—32no—
304C22×#67—32no—
305C22×#67—32no—
306C22×#67—32no—
307C23×Dic3—32no—
308#1009—68no—
309D3×#41—68no—
310C2×#239—31no—
311C2×#239—32no—
312C2×D3×Q8—31no—
313#1004—68no—
314C2×#237—31no—
315C2×#237—31no—
316C2×#237—32no—
317C2×#237—32no—
318C2×#237—32no—
319C2×#237—31no—
320C2×#237—31no—
321C2×#237—31no—
322C2×#237—32no—
323C2×#237—61no—
324C2×#237—68no—
325C2×#237C2×D311yescharacteristic, complemented
326C2×D3×D4—32no—
327C2×D3×D4—32no—
328C2×D3×D4—32no—
329C2×D3×D4—32no—
330C2×D3×D4—32no—
331C2×D3×D4—32no—
332C2×D3×D4—31no—
333C2×D3×D4—31no—
334C2×D3×D4—32no—
335C2×D3×D4C2×D311yescharacteristic, complemented
336C2×D3×D4C2×D312yescomplemented
337C2×#235—31no—
338C2×#235—31no—
339C2×#235—32no—
340C2×#235—31no—
341C2×#235—31no—
342C2×#235—61no—
343C2×#235C2×D311yescharacteristic, complemented
344C22×D12—31no—
345C22×D12—31no—
346C22×D12—32no—
347C22×D12C2×D311yescharacteristic, complemented
348C22×C4×D3—32no—
349C22×C4×D3—31no—
350C22×C4×D3—31no—
351C22×Dic6—31no—
352C3×#127—31no—
353C3×C22⋊Q8—31no—
354C3×C22⋊Q8—31no—
355C3×C22⋊Q8—32no—
356C3×#121—21no—
357C3×#121—31no—
358C3×#121—32no—
359C3×#121—32no—
360C3×#121—31no—
361C3×#121—32no—
362C3×#121—32no—
363C3×#121C2×D311yescharacteristic, complemented
364C3×#121C2×D311yescharacteristic, complemented
365C3×#120—32no—
366C3×#120—32no—
367C3×C4×D4—31no—
368C3×C4×D4—31no—
369C2×C3×C4⋊C4—31no—
370#953—32no—
371#953—32no—
372C2×#217—32no—
373#947—31no—
374#947—31no—
375#946—31no—
376#946—31no—
377#940—31no—
378#940—32no—
379#940—31no—
380#940—32no—
381#940—32no—
382#940—32no—
383#940—62no—
384#940—61no—
385#940C2×D311yescharacteristic, complemented
386#939—32no—
387#939—32no—
388#939—32no—
389#939—31no—
390#939—32no—
391#939—32no—
392#939—32no—
393#939—32no—
394#939—32no—
395#939—32no—
396#939—32no—
397#939—32no—
398#939—32no—
399#939—62no—
400#939C2×D312yescomplemented
401#938—31no—
402#938—31no—
403#938—31no—
404#938C2×D311yescharacteristic, complemented
405#938C2×D312yescomplemented
406#937—32no—
407#937—32no—
408#937—31no—
409#937—32no—
410#937—31no—
411#937—32no—
412#937—32no—
413#937—32no—
414#937—31no—
415#937C2×D312yescomplemented
416#936—31no—
417#935—31no—
418#935—32no—
419#935—31no—
420D4×Dic3—32no—
421D4×Dic3—31no—
422D4×Dic3—32no—
423#930—32no—
424#930—32no—
425#930—31no—
426#930—32no—
427C4×#67—31no—
428C4×#67—31no—
429C4×#67—31no—
430C4×#67—32no—
431C4×#67—32no—
432C4×#67—31no—
433C4×#67—32no—
434C4×#67—31no—
435C4×#67—61no—
436C4×#67C2×D311yescharacteristic, complemented
437C2×(C2×D3)⋊C4—32no—
438C2×(C2×D3)⋊C4—32no—
439#926—31no—
440#924C2×D311yescharacteristic, complemented
441C2×Dic3⋊C4—32no—
442#897C2×D311yescharacteristic, complemented
443#896—31no—
444#896—32no—
445#896—32no—
446#896—32no—
447#895—32no—
448#895—31no—
449#895—32no—
450#895—31no—
451#895—32no—
452#895—31no—
453#895—31no—
454#895—32no—
455#895—61no—
456#895C2×D311yescharacteristic, complemented
457#894—31no—
458#894—32no—
459#894—32no—
460#893—32no—
461#893—31no—
462#893—32no—
463#893C2×D311yescharacteristic, complemented
464#892—32no—
465D3×C4⋊C4—32no—
466D3×C4⋊C4C2×D311yescharacteristic, complemented
467#887—31no—
468#887—31no—
469#887—31no—
470#887—61no—
471#886—32no—
472#885—32no—
473#885—32no—
474#885—32no—
475#885—32no—
476#884—32no—
477#884—31no—
478#884—32no—
479#884—32no—
480#884—32no—
481#884—32no—
482#884—32no—
483#884—32no—
484#884—62no—
485#884C2×D312yescomplemented
486#884C2×D312yescomplemented
487#883—31no—
488#882—32no—
489#882—32no—
490#882—31no—
491#882—32no—
492#882—32no—
493#882C2×D312yescomplemented
494#67⋊C4—32no—
495#67⋊C4—32no—
496#67⋊C4—32no—
497#67⋊C4—32no—
498#67⋊C4—32no—
499#67⋊C4—62no—
500D3×C22⋊C4—32no—
501D3×C22⋊C4—32no—
502D3×C22⋊C4—32no—
503#878—31no—
504#878—32no—
505#878C2×D312yescomplemented
506#877—32no—
507#875—31no—
508C4×D12—31no—
509#872—31no—
510C4×Dic6—31no—
511C23×C32C2411yescharacteristic
512C23×C32C2412yes—
513C22×C3⋊D3C2412yes—
514C22×C3⋊D3C2411yescharacteristic
515C22×C3×D3—24no—
516C22×C3×D3—24no—
517C22×C3×D3—24no—
518C22×C3×D3—42no—
519C22×C3×D3—42no—
520C22×C3×D3—42no—
521C22×C3×D3C2411yescharacteristic
522C22×C3×D3C2412yes—
523C22×C3×D3C2411yescharacteristic
524C22×C3×D3C2412yes—
525C22×C3×D3C2411yescharacteristic
526C2×D32—22no—
527C2×D32—22no—
528C2×D32—24no—
529C2×D32—24no—
530C2×D32—41no—
531C2×D32—42no—
532C2×D32—42no—
533C2×D32—42no—
534C2×D32—42no—
535C32×D4—22no—
536C32×D4—42no—
537C2×C32×C4—22no—
538C2×C32×C4C2411yescharacteristic
539C2×C32×C4C2412yes—
540C2×C32×C4C2411yescharacteristic
541#638—24no—
542#638—24no—
543#638—41no—
544#638—42no—
545#638—42no—
546C2×C3⋊Dic3—24no—
547C2×C3⋊Dic3C2411yescharacteristic
548C2×C3⋊Dic3C2411yescharacteristic
549C2×C3⋊Dic3C2411yescharacteristic
550C2×C3⋊Dic3C2412yes—
551C4⋊(C3⋊D3)—22no—
552C4⋊(C3⋊D3)—42no—
553C4×C3⋊D3—22no—
554C4×C3⋊D3—24no—
555#634C2×D414yescomplemented
556C3×#67—24no—
557C3×#67—24no—
558C3×#67—22no—
559C3×#67—22no—
560C3×#67—22no—
561C3×#67—42no—
562C3×#67—42no—
563C3×#67—42no—
564C2×C3×Dic3—24no—
565C2×C3×Dic3C2411yescharacteristic
566C2×C3×Dic3C2412yes—
567C2×C3×Dic3C2411yescharacteristic
568C2×C3×Dic3C2412yes—
569C2×C3×Dic3C2411yescharacteristic
570C2×C3×Dic3C2411yescharacteristic
571C2×C3×Dic3C2411yescharacteristic
572C3×D12—24no—
573C3×D12—22no—
574C3×D12—24no—
575C3×D12—22no—
576C3×D12C2×D414yescomplemented
577C3×C4×D3—22no—
578C3×C4×D3—22no—
579C3×C4×D3—42no—
580C3×C4×D3—42no—
581C3×C4×D3C2×D414yescomplemented
582C3×Dic6—22no—
583C3×Dic6—22no—
584#627—24no—
585#626—24no—
586#626—24no—
587#626—24no—
588#626—24no—
589#626—42no—
590#626—41no—
591#625—22no—
592#625—24no—
593#625C2×D418yescomplemented
594#624—22no—
595D3×Dic3—24no—
596D3×Dic3—22no—
597D3×Dic3—24no—
598D3×Dic3—24no—
599D3×Dic3—22no—
600D3×Dic3—42no—
601D3×Dic3C2×D418yescomplemented
602C2×H(5,𝔽2)—91no—
603C22×#41—91no—
604#550—91no—
605#550—91no—
606#548—91no—
607#548—91no—
608#546—91no—
609#546—92no—
610#546—92no—
611#546—91no—
612D42—31no—
613D42—92no—
614D42—91no—
615D42—92no—
616#537—31no—
617#537—92no—
618#535—92no—
619#535—91no—
620#525—91no—
621#525—92no—
622C2×#121—91no—
623C2×#121—92no—
624#520—91no—
625C24×C3—32no—
626C24×C3—32no—
627C23×D3—31no—
628C23×D3—31no—
629C23×D3—32no—
630C23×D3—32no—
631C23×D3—32no—
632C23×D3—32no—
633C23×D3C22×D312yes—
634C23×D3C22×D312yes—
635C3×#41—64no—
636C3×#41—64no—
637C2×C3×Q8—31no—
638C2×C3×Q8—31no—
639C2×C3×D4—21no—
640C2×C3×D4—22no—
641C2×C3×D4—31no—
642C2×C3×D4—32no—
643C2×C3×D4—31no—
644C2×C3×D4—32no—
645C2×C3×D4—31no—
646C2×C3×D4—32no—
647C2×C3×D4—32no—
648C2×C3×D4—32no—
649C2×C3×D4—31no—
650C2×C3×D4—32no—
651C2×C3×D4—31no—
652C2×C3×D4—32no—
653C2×C3×D4—31no—
654C2×C3×D4—64no—
655C2×C3×D4—64no—
656C2×C3×D4—124no—
657C2×C3×D4C22×D311yescharacteristic
658C2×C3×D4C22×D311yescharacteristic
659C2×C3×D4C22×D312yes—
660C2×C3×D4C22×D312yes—
661C22×C3×C4—21no—
662C22×C3×C4—31no—
663C22×C3×C4—32no—
664C22×C3×C4—31no—
665C22×C3×C4—31no—
666C22×C3×C4—32no—
667C22×C3×C4—32no—
668C22×C3×C4C22×D311yescharacteristic
669C22×C3×C4C22×D311yescharacteristic
670C2×#67—32no—
671C2×#67—32no—
672C2×#67—32no—
673C2×#67—32no—
674C2×#67—32no—
675C2×#67—32no—
676C2×#67—31no—
677C2×#67—31no—
678C2×#67—32no—
679C2×#67—32no—
680C2×#67—32no—
681C2×#67—32no—
682C2×#67—31no—
683C2×#67—32no—
684C2×#67—31no—
685C2×#67—32no—
686C2×#67—32no—
687C2×#67—32no—
688C2×#67—32no—
689C2×#67—32no—
690C2×#67—31no—
691C2×#67—32no—
692C2×#67—62no—
693C2×#67—62no—
694C2×#67—61no—
695C2×#67—62no—
696C2×#67—62no—
697C2×#67—68no—
698C2×#67—68no—
699C2×#67—68no—
700C2×#67—124no—
701C2×#67C22×D311yescharacteristic
702C2×#67C22×D311yescharacteristic
703C2×#67C22×D312yes—
704C2×#67C22×D311yescharacteristic
705C2×#67C22×D312yes—
706C2×#67C22×D312yes—
707C2×#67C22×D312yes—
708C2×#67C22×D312yes—
709C22×Dic3—32no—
710C22×Dic3—32no—
711C22×Dic3—32no—
712C22×Dic3—32no—
713C22×Dic3—31no—
714C22×Dic3—32no—
715C22×Dic3—32no—
716C22×Dic3—31no—
717C22×Dic3—32no—
718C22×Dic3—62no—
719C22×Dic3—68no—
720C22×Dic3C22×D312yes—
721#239—68no—
722#239—64no—
723D3×Q8—64no—
724#237—24no—
725#237—38no—
726#237—68no—
727#237—64no—
728#237—64no—
729#237—64no—
730#237—64no—
731#237—68no—
732#237—68no—
733#237—68no—
734#237—124no—
735D3×D4—24no—
736D3×D4—44no—
737D3×D4—64no—
738D3×D4—68no—
739D3×D4—68no—
740D3×D4—68no—
741D3×D4—68no—
742D3×D4—68no—
743D3×D4—64no—
744D3×D4—124no—
745D3×D4—124no—
746#235—24no—
747#235—38no—
748#235—64no—
749#235—64no—
750#235—64no—
751#235—68no—
752#235—124no—
753C2×D12—24no—
754C2×D12—32no—
755C2×D12—32no—
756C2×D12—32no—
757C2×D12—32no—
758C2×D12—31no—
759C2×D12—31no—
760C2×D12—31no—
761C2×D12—32no—
762C2×D12—32no—
763C2×D12—32no—
764C2×D12—61no—
765C2×D12—62no—
766C2×D12—64no—
767C2×D12—64no—
768C2×D12—124no—
769C2×D12C22×D311yescharacteristic
770C2×D12C22×D312yes—
771C2×D12C22×D312yes—
772C2×D12C22×D311yescharacteristic
773C2×D12C22×D311yescharacteristic
774C2×C4×D3—32no—
775C2×C4×D3—31no—
776C2×C4×D3—32no—
777C2×C4×D3—32no—
778C2×C4×D3—32no—
779C2×C4×D3—31no—
780C2×C4×D3—31no—
781C2×C4×D3—32no—
782C2×C4×D3—32no—
783C2×C4×D3—31no—
784C2×C4×D3—31no—
785C2×C4×D3—31no—
786C2×C4×D3—32no—
787C2×C4×D3—62no—
788C2×C4×D3—61no—
789C2×C4×D3—64no—
790C2×C4×D3—68no—
791C2×C4×D3—64no—
792C2×C4×D3C22×D311yescharacteristic
793C2×C4×D3C22×D311yescharacteristic
794C2×C4×D3C22×D312yes—
795C2×C4×D3C22×D312yes—
796C2×C4×D3C22×D311yescharacteristic
797C2×Dic6—31no—
798C2×Dic6—31no—
799C2×Dic6—32no—
800C2×Dic6—32no—
801C2×Dic6—61no—
802C2×Dic6—64no—
803C2×Dic6C22×D311yescharacteristic
804C2×Dic6C22×D311yescharacteristic
805C3×C4⋊C4—21no—
806C3×C4⋊C4—31no—
807C3×C4⋊C4—32no—
808C3×C4⋊C4—32no—
809C3×C4⋊C4—32no—
810C3×C4⋊C4—31no—
811C3×C4⋊C4C22×D311yescharacteristic
812C3×C4⋊C4C22×D311yescharacteristic
813C3×C22⋊C4—22no—
814C3×C22⋊C4—32no—
815C3×C22⋊C4—32no—
816C3×C22⋊C4—31no—
817C3×C22⋊C4—32no—
818C3×C22⋊C4—32no—
819C3×C22⋊C4—31no—
820C3×C22⋊C4—32no—
821C3×C22⋊C4C22×D312yes—
822C3×C22⋊C4C22×D312yes—
823C3×C42—31no—
824#217—31no—
825#217—31no—
826#217—32no—
827#217—31no—
828#217—32no—
829#217—31no—
830#217—32no—
831#217—31no—
832#217—32no—
833#217—31no—
834#217—31no—
835#217—61no—
836#217C22×D312yes—
837#217C22×D311yescharacteristic
838#217C22×D312yes—
839(C2×D3)⋊C4—31no—
840(C2×D3)⋊C4—31no—
841(C2×D3)⋊C4—31no—
842(C2×D3)⋊C4—32no—
843(C2×D3)⋊C4—32no—
844(C2×D3)⋊C4—32no—
845(C2×D3)⋊C4—31no—
846(C2×D3)⋊C4—32no—
847(C2×D3)⋊C4—31no—
848(C2×D3)⋊C4—32no—
849(C2×D3)⋊C4—32no—
850(C2×D3)⋊C4—31no—
851(C2×D3)⋊C4—31no—
852(C2×D3)⋊C4—31no—
853(C2×D3)⋊C4—32no—
854(C2×D3)⋊C4—32no—
855(C2×D3)⋊C4—32no—
856(C2×D3)⋊C4—32no—
857(C2×D3)⋊C4—32no—
858(C2×D3)⋊C4—31no—
859(C2×D3)⋊C4—32no—
860(C2×D3)⋊C4—62no—
861(C2×D3)⋊C4—61no—
862(C2×D3)⋊C4C22×D312yes—
863(C2×D3)⋊C4C22×D312yes—
864(C2×D3)⋊C4C22×D311yescharacteristic
865(C2×D3)⋊C4C22×D312yes—
866C4⋊Dic3—31no—
867C4⋊Dic3—31no—
868C4⋊Dic3—31no—
869C4⋊Dic3C22×D311yescharacteristic
870C4⋊Dic3C22×D312yes—
871Dic3⋊C4—31no—
872Dic3⋊C4—32no—
873Dic3⋊C4—31no—
874Dic3⋊C4—32no—
875Dic3⋊C4—32no—
876Dic3⋊C4—31no—
877Dic3⋊C4—31no—
878Dic3⋊C4—31no—
879Dic3⋊C4—31no—
880Dic3⋊C4—32no—
881Dic3⋊C4—31no—
882Dic3⋊C4—61no—
883Dic3⋊C4—62no—
884Dic3⋊C4C22×D312yes—
885Dic3⋊C4C22×D312yes—
886Dic3⋊C4C22×D311yescharacteristic
887C4×Dic3—31no—
888C4×Dic3—32no—
889C4×Dic3—32no—
890C4×Dic3—31no—
891C4×Dic3—32no—
892C4×Dic3—32no—
893C4×Dic3—62no—
894C4×Dic3—61no—
895C4×Dic3C22×D311yescharacteristic
896C22×C32—22no—
897C22×C32—21no—
898C22×C32—21no—
899C22×C32—22no—
900C22×C32—22no—
901C22×C32—21no—
902C22×C32C2511yescharacteristic
903C2×C3⋊D3—21no—
904C2×C3⋊D3—22no—
905C2×C3⋊D3—22no—
906C2×C3⋊D3—21no—
907C2×C3⋊D3—21no—
908C2×C3⋊D3—22no—
909C2×C3×D3—21no—
910C2×C3×D3—22no—
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—21no—
920C2×C3×D3—22no—
921C2×C3×D3—48no—
922C2×C3×D3—84no—
923C2×C3×D3C22×D414yes—
924C2×C3×D3C22×D412yes—
925C2×C3×D3H(5,𝔽2)12yescomplemented
926D32—44no—
927D32—84no—
928D32—84no—
929C32×C4—21no—
930C32×C4—22no—
931C32×C4C22×D412yes—
932C3⋊Dic3—21no—
933C3⋊Dic3—21no—
934C3⋊Dic3—21no—
935C3⋊Dic3C22×D414yes—
936C3×Dic3—21no—
937C3×Dic3—22no—
938C3×Dic3—21no—
939C3×Dic3—22no—
940C3×Dic3—21no—
941C3×Dic3—21no—
942C3×Dic3C22×D412yes—
943H(5,𝔽2)—188no—
944C2×#41—31no—
945C2×#41—31no—
946C2×#41—91no—
947C2×#41—92no—
948C2×#41—91no—
949C2×#41—92no—
950C2×#41—92no—
951C2×#41—91no—
952C2×#41—91no—
953C2×#41—91no—
954C2×#41—188no—
955C22×Q8—91no—
956C22×D4—31no—
957C22×D4—32no—
958C22×D4—31no—
959C22×D4—91no—
960C22×D4—91no—
961C22×D4—92no—
962C22×D4—92no—
963C22×D4—92no—
964C22×D4—92no—
965C22×D4—92no—
966C22×D4—92no—
967C23×C4—91no—
968C23×C4—92no—
969#127—31no—
970#127—92no—
971#127—92no—
972#127—91no—
973#124—91no—
974#124—92no—
975#124—92no—
976#124—91no—
977#123—92no—
978#123—91no—
979#123—91no—
980#123—92no—
981C22⋊Q8—31no—
982C22⋊Q8—31no—
983C22⋊Q8—32no—
984C22⋊Q8—92no—
985C22⋊Q8—91no—
986C22⋊Q8—92no—
987C22⋊Q8—91no—
988#121—32no—
989#121—32no—
990#121—31no—
991#121—31no—
992#121—32no—
993#121—32no—
994#121—92no—
995#121—92no—
996#121—92no—
997#121—91no—
998#121—92no—
999#121—92no—
1000#121—91no—
1001#121—92no—
1002#121—92no—
1003#121—91no—
1004#121—92no—
1005#121—92no—
1006#121—92no—
1007#121—91no—
1008#121—92no—
1009#121—92no—
1010#121—91no—
1011#121—92no—
1012#121D3211yescharacteristic, complemented
1013#120—32no—
1014#120—32no—
1015#120—92no—
1016#120—91no—
1017#120—92no—
1018#120—92no—
1019#120—91no—
1020#120—92no—
1021#120—92no—
1022#120—92no—
1023C4×Q8—91no—
1024C4×Q8—91no—
1025C4×D4—31no—
1026C4×D4—31no—
1027C4×D4—91no—
1028C4×D4—92no—
1029C4×D4—92no—
1030C4×D4—92no—
1031C4×D4—91no—
1032C4×D4—92no—
1033C4×D4—92no—
1034C4×D4—91no—
1035C4×D4—91no—
1036C4×D4—92no—
1037#117—91no—
1038#117—92no—
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—22no—
1046C23×C3—31no—
1047C23×C3—32no—
1048C23×C3—31no—
1049C23×C3—32no—
1050C23×C3—31no—
1051C23×C3—64no—
1052C23×C3—64no—
1053C23×C3—64no—
1054C23×C3—122no—
1055C23×C3—122no—
1056C23×C3—122no—
1057C23×C3C23×D311yescharacteristic
1058C23×C3C23×D311yescharacteristic
1059C23×C3C23×D312yes—
1060C23×C3C23×D312yes—
1061C22×D3—24no—
1062C22×D3—24no—
1063C22×D3—24no—
1064C22×D3—32no—
1065C22×D3—32no—
1066C22×D3—31no—
1067C22×D3—31no—
1068C22×D3—42no—
1069C22×D3—42no—
1070C22×D3—42no—
1071C22×D3—62no—
1072C22×D3—61no—
1073C22×D3—62no—
1074C22×D3—62no—
1075C22×D3—64no—
1076C22×D3—64no—
1077C22×D3—62no—
1078C22×D3—62no—
1079C22×D3—64no—
1080C22×D3—64no—
1081C22×D3—121no—
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×D311yescharacteristic
1093C22×D3C23×D311yescharacteristic
1094C22×D3C23×D312yes—
1095C22×D3C23×D311yescharacteristic
1096C3×Q8—62no—
1097C3×Q8—62no—
1098C3×D4—22no—
1099C3×D4—22no—
1100C3×D4—34no—
1101C3×D4—42no—
1102C3×D4—42no—
1103C3×D4—42no—
1104C3×D4—62no—
1105C3×D4—64no—
1106C3×D4—64no—
1107C3×D4—62no—
1108C3×D4—62no—
1109C3×D4—64no—
1110C3×D4—64no—
1111C3×D4—62no—
1112C3×D4—62no—
1113C3×D4—82no—
1114C3×D4—122no—
1115C3×D4—122no—
1116C3×D4—122no—
1117C2×C3×C4—22no—
1118C2×C3×C4—22no—
1119C2×C3×C4—21no—
1120C2×C3×C4—22no—
1121C2×C3×C4—21no—
1122C2×C3×C4—31no—
1123C2×C3×C4—34no—
1124C2×C3×C4—31no—
1125C2×C3×C4—32no—
1126C2×C3×C4—31no—
1127C2×C3×C4—31no—
1128C2×C3×C4—31no—
1129C2×C3×C4—32no—
1130C2×C3×C4—42no—
1131C2×C3×C4—64no—
1132C2×C3×C4—62no—
1133C2×C3×C4—62no—
1134C2×C3×C4—122no—
1135C2×C3×C4—122no—
1136C2×C3×C4C23×D312yes—
1137C2×C3×C4C23×D312yes—
1138C2×C3×C4C23×D311yescharacteristic
1139C2×C3×C4C23×D311yescharacteristic
1140C2×C3×C4C23×D311yescharacteristic
1141C2×C3×C4C23×D311yescharacteristic
1142#67—22no—
1143#67—24no—
1144#67—24no—
1145#67—22no—
1146#67—22no—
1147#67—38no—
1148#67—38no—
1149#67—42no—
1150#67—42no—
1151#67—42no—
1152#67—64no—
1153#67—64no—
1154#67—64no—
1155#67—64no—
1156#67—64no—
1157#67—64no—
1158#67—64no—
1159#67—64no—
1160#67—64no—
1161#67—62no—
1162#67—62no—
1163#67—64no—
1164#67—124no—
1165#67—124no—
1166#67—122no—
1167#67—121no—
1168#67—122no—
1169#67—121no—
1170#67—122no—
1171#67—121no—
1172#67—122no—
1173#67—122no—
1174#67—124no—
1175#67—122no—
1176#67—242no—
1177C2×Dic3—24no—
1178C2×Dic3—32no—
1179C2×Dic3—32no—
1180C2×Dic3—38no—
1181C2×Dic3—31no—
1182C2×Dic3—31no—
1183C2×Dic3—31no—
1184C2×Dic3—31no—
1185C2×Dic3—31no—
1186C2×Dic3—31no—
1187C2×Dic3—61no—
1188C2×Dic3—62no—
1189C2×Dic3—61no—
1190C2×Dic3—61no—
1191C2×Dic3—64no—
1192C2×Dic3—64no—
1193C2×Dic3—62no—
1194C2×Dic3—64no—
1195C2×Dic3—64no—
1196C2×Dic3—64no—
1197C2×Dic3—62no—
1198C2×Dic3—124no—
1199C2×Dic3—122no—
1200C2×Dic3C23×D311yescharacteristic
1201C2×Dic3C23×D312yes—
1202C2×Dic3C23×D311yescharacteristic
1203C2×Dic3C23×D311yescharacteristic
1204C2×Dic3C23×D311yescharacteristic
1205C2×Dic3C23×D312yes—
1206C2×Dic3C23×D311yescharacteristic
1207D12—24no—
1208D12—22no—
1209D12—24no—
1210D12—22no—
1211D12—64no—
1212D12—64no—
1213D12—64no—
1214D12—64no—
1215D12—62no—
1216D12—62no—
1217D12—122no—
1218D12—122no—
1219D12—122no—
1220D12—121no—
1221D12—122no—
1222D12—242no—
1223D12D3×D414yescomplemented
1224C4×D3—22no—
1225C4×D3—22no—
1226C4×D3—38no—
1227C4×D3—42no—
1228C4×D3—42no—
1229C4×D3—62no—
1230C4×D3—64no—
1231C4×D3—64no—
1232C4×D3—64no—
1233C4×D3—64no—
1234C4×D3—62no—
1235C4×D3—62no—
1236C4×D3—64no—
1237C4×D3—62no—
1238C4×D3—62no—
1239C4×D3—62no—
1240C4×D3—124no—
1241C4×D3—122no—
1242C4×D3—122no—
1243C4×D3D3×D414yescomplemented
1244Dic6—22no—
1245Dic6—22no—
1246Dic6—34no—
1247Dic6—34no—
1248Dic6—64no—
1249Dic6—64no—
1250Dic6—64no—
1251C2×C32—42no—
1252C2×C32—41no—
1253C2×C32C23×D411yescharacteristic
1254C2×C32C2×H(5,𝔽2)11yescharacteristic
1255C2×C32#58511yescharacteristic
1256C3⋊D3—41no—
1257C3⋊D3—42no—
1258C3×D3—22no—
1259C3×D3—22no—
1260C3×D3—24no—
1261C3×D3—41no—
1262C3×D3—42no—
1263C24—32no—
1264C24—32no—
1265C24—91no—
1266C24—92no—
1267C24—92no—
1268#41—64no—
1269#41—64no—
1270#41—98no—
1271#41—184no—
1272#41—188no—
1273#41—184no—
1274#41—188no—
1275#41—184no—
1276#41—184no—
1277#41—188no—
1278C2×Q8—31no—
1279C2×Q8—31no—
1280C2×Q8—92no—
1281C2×Q8—91no—
1282C2×Q8—184no—
1283C2×D4—31no—
1284C2×D4—32no—
1285C2×D4—32no—
1286C2×D4—31no—
1287C2×D4—31no—
1288C2×D4—32no—
1289C2×D4—32no—
1290C2×D4—32no—
1291C2×D4—31no—
1292C2×D4—32no—
1293C2×D4—32no—
1294C2×D4—31no—
1295C2×D4—31no—
1296C2×D4—64no—
1297C2×D4—64no—
1298C2×D4—92no—
1299C2×D4—92no—
1300C2×D4—92no—
1301C2×D4—92no—
1302C2×D4—91no—
1303C2×D4—92no—
1304C2×D4—92no—
1305C2×D4—91no—
1306C2×D4—92no—
1307C2×D4—92no—
1308C2×D4—92no—
1309C2×D4—92no—
1310C2×D4—91no—
1311C2×D4—92no—
1312C2×D4—91no—
1313C2×D4—92no—
1314C2×D4—124no—
1315C2×D4—184no—
1316C2×D4—184no—
1317C2×D4—188no—
1318C2×D4—188no—
1319C2×D4—188no—
1320C2×D4—188no—
1321C2×D4—364no—
1322C2×D4—364no—
1323C2×D4C2×D3211yescharacteristic
1324C2×D4C2×D3212yes—
1325C22×C4—31no—
1326C22×C4—32no—
1327C22×C4—31no—
1328C22×C4—31no—
1329C22×C4—32no—
1330C22×C4—32no—
1331C22×C4—91no—
1332C22×C4—92no—
1333C22×C4—91no—
1334C22×C4—92no—
1335C22×C4—92no—
1336C22×C4—92no—
1337C22×C4—91no—
1338C22×C4—92no—
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—31no—
1348C4⋊C4—32no—
1349C4⋊C4—32no—
1350C4⋊C4—91no—
1351C4⋊C4—92no—
1352C4⋊C4—91no—
1353C4⋊C4—91no—
1354C4⋊C4—91no—
1355C4⋊C4—92no—
1356C4⋊C4—91no—
1357C4⋊C4C2×D3211yescharacteristic
1358C22⋊C4—32no—
1359C22⋊C4—31no—
1360C22⋊C4—32no—
1361C22⋊C4—32no—
1362C22⋊C4—32no—
1363C22⋊C4—32no—
1364C22⋊C4—31no—
1365C22⋊C4—92no—
1366C22⋊C4—92no—
1367C22⋊C4—92no—
1368C22⋊C4—91no—
1369C22⋊C4—91no—
1370C22⋊C4—92no—
1371C22⋊C4—92no—
1372C22⋊C4—91no—
1373C22⋊C4—91no—
1374C22⋊C4—92no—
1375C22⋊C4—91no—
1376C22⋊C4—91no—
1377C22⋊C4—92no—
1378C22⋊C4—91no—
1379C22⋊C4—92no—
1380C22⋊C4—91no—
1381C22⋊C4C2×D3212yes—
1382C42—31no—
1383C42—92no—
1384C42—92no—
1385C42—91no—
1386C22×C3—22no—
1387C22×C3—22no—
1388C22×C3—21no—
1389C22×C3—21no—
1390C22×C3—21no—
1391C22×C3—22no—
1392C22×C3—22no—
1393C22×C3—21no—
1394C22×C3—22no—
1395C22×C3—21no—
1396C22×C3—22no—
1397C22×C3—21no—
1398C22×C3—21no—
1399C22×C3—34no—
1400C22×C3—32no—
1401C22×C3—32no—
1402C22×C3—42no—
1403C22×C3—41no—
1404C22×C3—42no—
1405C22×C3—41no—
1406C22×C3—42no—
1407C22×C3—41no—
1408C22×C3—61no—
1409C22×C3—61no—
1410C22×C3—62no—
1411C22×C3—61no—
1412C22×C3—61no—
1413C22×C3—62no—
1414C22×C3—62no—
1415C22×C3—61no—
1416C22×C3—61no—
1417C22×C3—62no—
1418C22×C3—61no—
1419C22×C3—62no—
1420C22×C3—128no—
1421C22×C3—244no—
1422C22×C3C24×D311yescharacteristic
1423C22×C3C24×D311yescharacteristic
1424C2×D3—21no—
1425C2×D3—22no—
1426C2×D3—21no—
1427C2×D3—21no—
1428C2×D3—22no—
1429C2×D3—21no—
1430C2×D3—21no—
1431C2×D3—22no—
1432C2×D3—22no—
1433C2×D3—21no—
1434C2×D3—22no—
1435C2×D3—21no—
1436C2×D3—48no—
1437C2×D3—61no—
1438C2×D3—61no—
1439C2×D3—62no—
1440C2×D3—62no—
1441C2×D3—62no—
1442C2×D3—61no—
1443C2×D3—61no—
1444C2×D3—62no—
1445C2×D3—61no—
1446C2×D3—62no—
1447C2×D3—61no—
1448C2×D3—62no—
1449C2×D3—84no—
1450C2×D3—122no—
1451C2×D3—121no—
1452C2×D3—121no—
1453C2×D3—122no—
1454C2×D3—121no—
1455C2×D3—122no—
1456C2×D3—124no—
1457C2×D3—124no—
1458C2×D3—244no—
1459C2×D3—244no—
1460C2×D3—244no—
1461C2×D3—244no—
1462C2×D3C2×D3×D414yes—
1463C2×D3C2×D3×D412yes—
1464C2×D3#100412yescomplemented
1465C3×C4—21no—
1466C3×C4—21no—
1467C3×C4—22no—
1468C3×C4—22no—
1469C3×C4—22no—
1470C3×C4—32no—
1471C3×C4—41no—
1472C3×C4—42no—
1473C3×C4—61no—
1474C3×C4—62no—
1475C3×C4—61no—
1476C3×C4—62no—
1477C3×C4—61no—
1478C3×C4—61no—
1479C3×C4C2×D3×D412yes—
1480C3×C4C2×D3×D412yes—
1481Dic3—22no—
1482Dic3—21no—
1483Dic3—21no—
1484Dic3—21no—
1485Dic3—22no—
1486Dic3—21no—
1487Dic3—34no—
1488Dic3—34no—
1489Dic3—64no—
1490Dic3—62no—
1491Dic3—61no—
1492Dic3—61no—
1493Dic3—61no—
1494Dic3—61no—
1495Dic3—61no—
1496Dic3—61no—
1497Dic3—121no—
1498Dic3—121no—
1499Dic3C2×D3×D412yes—
1500C32#348811yescharacteristic, complemented, Sylow
1501C23—32no—
1502C23—31no—
1503C23—31no—
1504C23—31no—
1505C23—32no—
1506C23—64no—
1507C23—64no—
1508C23—64no—
1509C23—92no—
1510C23—91no—
1511C23—122no—
1512C23—122no—
1513C23—122no—
1514C23—182no—
1515C23—182no—
1516C23—184no—
1517C23—184no—
1518C23—361no—
1519C23—362no—
1520C23—362no—
1521C23—362no—
1522C23—362no—
1523C23C22×D3211yescharacteristic
1524C23C22×D3212yes—
1525Q8—62no—
1526Q8—62no—
1527Q8—94no—
1528Q8—184no—
1529D4—22no—
1530D4—34no—
1531D4—42no—
1532D4—64no—
1533D4—64no—
1534D4—62no—
1535D4—62no—
1536D4—64no—
1537D4—62no—
1538D4—62no—
1539D4—64no—
1540D4—62no—
1541D4—98no—
1542D4—122no—
1543D4—122no—
1544D4—122no—
1545D4—184no—
1546D4—184no—
1547D4—184no—
1548D4—184no—
1549D4—184no—
1550D4—184no—
1551D4—184no—
1552D4—182no—
1553D4—182no—
1554D4—362no—
1555D4—362no—
1556D4—361no—
1557D4—362no—
1558D4—362no—
1559D4—361no—
1560C2×C4—22no—
1561C2×C4—31no—
1562C2×C4—34no—
1563C2×C4—31no—
1564C2×C4—31no—
1565C2×C4—32no—
1566C2×C4—31no—
1567C2×C4—32no—
1568C2×C4—31no—
1569C2×C4—64no—
1570C2×C4—62no—
1571C2×C4—62no—
1572C2×C4—98no—
1573C2×C4—92no—
1574C2×C4—91no—
1575C2×C4—91no—
1576C2×C4—91no—
1577C2×C4—122no—
1578C2×C4—122no—
1579C2×C4—184no—
1580C2×C4—182no—
1581C2×C4—182no—
1582C2×C4—184no—
1583C2×C4—184no—
1584C2×C4—182no—
1585C2×C4—184no—
1586C2×C4—184no—
1587C2×C4—182no—
1588C2×C4—362no—
1589C2×C4C22×D3212yes—
1590C2×C4C22×D3211yescharacteristic
1591C2×C4C22×D3211yescharacteristic
1592C2×C3—21no—
1593C2×C3—21no—
1594C2×C3—21no—
1595C2×C3—42no—
1596C2×C3—41no—
1597C2×C3—42no—
1598C2×C3—41no—
1599C2×C3—62no—
1600C2×C3—62no—
1601C2×C3—64no—
1602C2×C3—82no—
1603C2×C3—81no—
1604C2×C3—121no—
1605C2×C3—122no—
1606C2×C3C22×D3×D411yescharacteristic
1607C2×C3C22×D3×D411yescharacteristic
1608C2×C3C2×#100411yescharacteristic
1609C2×C3D3×H(5,𝔽2)11yescharacteristic
1610C2×C3#596611yescharacteristic
1611C2×C3#596811yescharacteristic
1612D3—22no—
1613D3—24no—
1614D3—22no—
1615D3—42no—
1616D3—41no—
1617D3—121no—
1618D3—122no—
1619D3—121no—
1620D3—122no—
1621D3—241no—
1622D3—242no—
1623C22—21no—
1624C22—22no—
1625C22—21no—
1626C22—22no—
1627C22—22no—
1628C22—21no—
1629C22—32no—
1630C22—34no—
1631C22—32no—
1632C22—61no—
1633C22—61no—
1634C22—62no—
1635C22—61no—
1636C22—62no—
1637C22—61no—
1638C22—61no—
1639C22—62no—
1640C22—62no—
1641C22—61no—
1642C22—62no—
1643C22—61no—
1644C22—128no—
1645C22—181no—
1646C22—182no—
1647C22—182no—
1648C22—181no—
1649C22—181no—
1650C22—182no—
1651C22—244no—
1652C22—364no—
1653C22—724no—
1654C22—724no—
1655C22C23×D3211yescharacteristic
1656C4—21no—
1657C4—22no—
1658C4—32no—
1659C4—61no—
1660C4—61no—
1661C4—62no—
1662C4—61no—
1663C4—62no—
1664C4—61no—
1665C4—94no—
1666C4—181no—
1667C4—181no—
1668C4—181no—
1669C4D32×D412yes—
1670C3—21no—
1671C3#8637911yescharacteristic, complemented
1672C3#8660711yescharacteristic, complemented
1673C2—42no—
1674C2—41no—
1675C2—62no—
1676C2—64no—
1677C2—62no—
1678C2—122no—
1679C2—121no—
1680C2—361no—
1681C2—362no—
1682C2C2×D32×D411yescharacteristic
1683C2D3×#100411yescharacteristic
1684C2#1059669811yescharacteristic
subgroupG/H
center, FrattiniC22C23×D32
commutator, socle, cosocleC22×C32C25
FittingC32×#121C22
hypercenter#121D32
hypocenterC32#3488
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C22 ◁ #121

Complements

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

NH ≅ G/Ntype
1. C2×D3×#237C2semidirect
2. C2×#64307C2semidirect
3. #10596070C2semidirect
4. C3×#5609C2semidirect
5. C3×#5608C2semidirect
6. #10595303C2semidirect
7. #10595290C2semidirect
8. #10595288C2semidirect
9. #10595288C2semidirect
10. #10595285C2semidirect
11. D3×#939C2semidirect
12. #10595164C2semidirect
13. #10595060C2semidirect
14. #10594916C2semidirect
15. #10594889C2semidirect
16. #10594629C2semidirect
17. D3×#895C2semidirect
18. #10594525C2semidirect
19. #10594359C2semidirect
20. #10594276C2semidirect
21. #10594275C2semidirect
22. #10594059C2semidirect
23. #10594055C2semidirect
26. C2×#3830C22semidirect
27. C2×#3828C22semidirect
28. C2×C3×#237C22semidirect
29. C2×C3×D3×D4C22semidirect
30. C2×C3×D3×D4C22semidirect
31. C2×C3×#235C22semidirect
32. C22×C3×D12C22semidirect
33. C2×D3×#67C22semidirect
34. C2×D3×#67C22semidirect
35. C2×D3×#67C22semidirect
36. C2×D3×#67C22semidirect
37. C2×#3805C22semidirect
38. C2×#3804C22semidirect
39. C22×D3×Dic3C22semidirect
42. C2×#3802C22semidirect
43. C2×D3×D12C22semidirect
44. C2×D3×D12C22semidirect
45. C2×D3×D12C22semidirect
46. C2×C4×D32C22semidirect
47. C2×#3796C22semidirect
48. C2×#3796C22semidirect
50. C2×#3795C22semidirect
51. C2×D3×Dic6C22semidirect
52. C32×#121C22semidirect
53. #64149C22semidirect
54. #64149C22semidirect
55. #64148C22semidirect
56. C4×#638C22semidirect
57. #64104C22semidirect
58. #64096C22semidirect
59. #64093C22semidirect
60. #64090C22semidirect
61. C3×#940C22semidirect
62. C3×#939C22semidirect
63. C3×#938C22semidirect
64. C3×#938C22semidirect
65. C3×#937C22semidirect
66. C3×C4×#67C22semidirect
67. C3×#924C22semidirect
68. C3×#897C22semidirect
69. C3×#895C22semidirect
70. C3×#893C22semidirect
71. C3×D3×C4⋊C4C22semidirect
72. C3×#884C22semidirect
73. C3×#884C22semidirect
74. C3×#882C22semidirect
75. C3×#878C22semidirect
76. #63983C22semidirect
77. #63983C22semidirect
78. #63983C22semidirect
79. #63983C22semidirect
80. #63980C22semidirect
81. #63979C22semidirect
82. #63978C22semidirect
83. #63978C22semidirect
84. #63977C22semidirect
85. #63977C22semidirect
86. #67⋊Dic3C22semidirect
87. #63971C22semidirect
88. #63971C22semidirect
89. #63971C22semidirect
90. #63970C22semidirect
91. #63969C22semidirect
92. D3×#217C22semidirect
93. #63958C22semidirect
94. #63953C22semidirect
95. #63923C22semidirect
96. #63922C22semidirect
97. D3×(C2×D3)⋊C4C22semidirect
98. D3×(C2×D3)⋊C4C22semidirect
99. #63916C22semidirect
100. #63915C22semidirect
101. #63910C22semidirect
102. #63909C22semidirect
103. #63909C22semidirect
104. C4×#626C22semidirect
105. C4×#625C22semidirect
106. C4×#625C22semidirect
107. #63899C22semidirect
108. #63898C22semidirect
109. #63898C22semidirect
110. #63890C22semidirect
111. #63888C22semidirect
112. #63887C22semidirect
113. #63886C22semidirect
114. #63886C22semidirect
115. #63885C22semidirect
116. #63884C22semidirect
117. #63884C22semidirect
118. #63881C22semidirect
119. #63879C22semidirect
120. #63878C22semidirect
121. D3×Dic3⋊C4C22semidirect
122. #63865C22semidirect
123. #63864C22semidirect
124. #63863C22semidirect
125. #63855C22semidirect
126. #63844C22semidirect
153. #5609D3semidirect
154. #5608D3semidirect
254. #3795D4semidirect
325. C2×#237C2×D3semidirect
335. C2×D3×D4C2×D3semidirect
336. C2×D3×D4C2×D3semidirect
343. C2×#235C2×D3semidirect
347. C22×D12C2×D3semidirect
363. C3×#121C2×D3semidirect
364. C3×#121C2×D3semidirect
385. #940C2×D3semidirect
400. #939C2×D3semidirect
404. #938C2×D3semidirect
405. #938C2×D3semidirect
415. #937C2×D3semidirect
436. C4×#67C2×D3semidirect
440. #924C2×D3semidirect
442. #897C2×D3semidirect
456. #895C2×D3semidirect
463. #893C2×D3semidirect
466. D3×C4⋊C4C2×D3semidirect
485. #884C2×D3semidirect
486. #884C2×D3semidirect
493. #882C2×D3semidirect
505. #878C2×D3semidirect
555. #634C2×D4semidirect
576. C3×D12C2×D4semidirect
581. C3×C4×D3C2×D4semidirect
593. #625C2×D4semidirect
601. D3×Dic3C2×D4semidirect
925. C2×C3×D3H(5,𝔽2)semidirect
1012. #121D32semidirect
1223. D12D3×D4semidirect
1243. C4×D3D3×D4semidirect
1464. C2×D3#1004semidirect
1500. C32#3488semidirect
1671. C3#86379semidirect
1672. C3#86607semidirect

Maximal subgroups

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

subgroupindex
C2×D3×#2372
C2×#643072
#105960702
C3×#56092
C3×#56082
#105953032
#105952902
#105952882
#105952852
D3×#9392
#105951642
#105950602
#105949162
#105948892
#105946292
D3×#8952
#105945252
#105943592
#105942762
#105942752
#105940592
#105940552
#866073
#863793