Finite Group Databasebeta

← #11904676

Subgroups — #11904676

Order 1152.

3463 conjugacy classes of subgroups.

The subgroup lattice has 1758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#64313C211yesmaximal, characteristic, complemented
2C2×D3×#235C211yesmaximal, characteristic, complemented
3#10596079C211yesmaximal, characteristic, complemented
4C3×#5607C211yesmaximal, characteristic, complemented
5C3×D3×#121C211yesmaximal, characteristic, complemented
6#10595306C211yesmaximal, characteristic, complemented
7#10595294C212yesmaximal, complemented
8#10595293C212yesmaximal, complemented
9#10595287C212yesmaximal, complemented
10D3×#938C211yesmaximal, characteristic, complemented
11#10595231C211yesmaximal, characteristic, complemented
12#10595227C212yesmaximal, complemented
13#10595082C211yesmaximal, characteristic, complemented
14#10595004C211yesmaximal, characteristic, complemented
15#10594892C211yesmaximal, characteristic, complemented
16#10594626C211yesmaximal, characteristic, complemented
17#10594612C211yesmaximal, characteristic, complemented
18#10594522C211yesmaximal, characteristic, complemented
19#10594510C211yesmaximal, characteristic, complemented
20#10594280C212yesmaximal, complemented
21#10594275C212yesmaximal, complemented
22#10594184C212yesmaximal, complemented
23#10594076C212yesmaximal, complemented
24#86331—31nomaximal
25#85949—31nomaximal
26C2×#3830C2211yescharacteristic, complemented
27C2×#3828C2211yescharacteristic, complemented
28C2×C3×D3×D4C2211yescharacteristic, complemented
29C2×C3×D3×D4C2211yescharacteristic, complemented
30C2×C3×D3×D4C2212yescomplemented
31C2×C3×#235C2211yescharacteristic, complemented
32C22×C3×C4×D3C2211yescharacteristic, complemented
33C2×D3×#67C2211yescharacteristic, complemented
34C2×D3×#67C2211yescharacteristic, complemented
35C2×D3×#67C2212yescomplemented
36C2×D3×#67C2212yescomplemented
37C2×D3×#67C2212yescomplemented
38C22×#625C2212yescomplemented
39C2×#3805C2212yescomplemented
40C2×#3804C2211yescharacteristic, complemented
41C2×#3804C2211yescharacteristic, complemented
42#64313—28no—
43D3×#235—28no—
44C2×#3802C2211yescharacteristic, complemented
45C2×#3802C2212yescomplemented
46C2×D3×D12C2211yescharacteristic, complemented
47C2×C4×D32C2211yescharacteristic, complemented
48C2×C4×D32C2211yescharacteristic, complemented
49C2×#3799C2211yescharacteristic, complemented
50C2×#3798C2211yescharacteristic
51C2×#3798C2211yescharacteristic, complemented
52C2×#3795C2211yescharacteristic, complemented
53C2×#3795C2211yescharacteristic, complemented
54C2×#3795C2211yescharacteristic, complemented
55C2×D3×Dic6C2211yescharacteristic, complemented
56C32×#121C2211yescharacteristic, complemented
57#64148C2212yescomplemented
58#64147C2211yescharacteristic, complemented
59#64147C2212yescomplemented
60#64133C2211yescharacteristic, complemented
61#64106C2211yescharacteristic, complemented
62C4⋊C4×C3⋊D3C2211yescharacteristic, complemented
63#64093C2212yescomplemented
64#64087C2212yescomplemented
65C3×#940C2212yescomplemented
66C3×#939C2212yescomplemented
67C3×#938C2211yescharacteristic, complemented
68C3×#938C2211yescharacteristic, complemented
69C3×#937C2212yescomplemented
70C3×#930C2211yescharacteristic, complemented
71C3×#930C2211yescharacteristic, complemented
72C3×#895C2211yescharacteristic, complemented
73C3×#895C2211yescharacteristic, complemented
74C3×#892C2211yescharacteristic, complemented
75C3×D3×C4⋊C4C2211yescharacteristic, complemented
76C3×#885C2212yescomplemented
77C3×#884C2212yescomplemented
78C3×#882C2212yescomplemented
79C3×D3×C22⋊C4C2212yescomplemented
80#63983C2212yescomplemented
81#63983C2212yescomplemented
82#63979C2212yescomplemented
83#63979C2212yescomplemented
84#63977C2212yescomplemented
85#63976C2212yescomplemented
86#63976C2212yescomplemented
87#63975C2212yescomplemented
88#67⋊Dic3C2212yescomplemented
89#67⋊Dic3C2212yescomplemented
90Dic3×#67C2212yescomplemented
91#63970C2212yescomplemented
92#63970C2212yescomplemented
93#63970C2212yescomplemented
94D3×#217C2212yescomplemented
95#63959C2212yescomplemented
96#63958C2212yescomplemented
97#63923C2212yescomplemented
98#63922C2212yescomplemented
99#63921C2212yescomplemented
100#63916C2211yescharacteristic, complemented
101#63916C2211yescharacteristic, complemented
102#63913C2212yescomplemented
103#63908C2211yescharacteristic, complemented
104#63908C2211yescharacteristic, complemented
105#63908C2212yescomplemented
106#63906C2212yescomplemented
107#63905C2212yescomplemented
108C4×#626C2212yescomplemented
109#63893C2212yescomplemented
110Dic3×D12C2212yescomplemented
111#63891C2212yescomplemented
112D3×C4⋊Dic3C2211yescharacteristic, complemented
113#63887C2212yescomplemented
114#63886C2212yescomplemented
115#63885C2212yescomplemented
116#63885C2212yescomplemented
117#63885C2212yescomplemented
118#63881C2212yescomplemented
119#63880C2212yescomplemented
120#63879C2212yescomplemented
121#63879C2212yescomplemented
122#63857C2211yescharacteristic, complemented
123#63857C2211yescharacteristic, complemented
124#63849C2211yescharacteristic, complemented
125#63841C2211yescharacteristic, complemented
126#63837C2212yescomplemented
127C2×D3×#41—31no—
128C2×#1004—31no—
129C2×#1004—31no—
130C22×#235—31no—
131C3×#535—31no—
132C2×C3×#121—31no—
133#5833—31no—
134#5805—31no—
135D4×#67—32no—
136D4×#67—32no—
137C2×#938—31no—
138#5791—31no—
139#5718—32no—
140#5717—32no—
141#5677—32no—
142#5676—32no—
143#5612—32no—
144#5609—32no—
145#5608—31no—
146#5608—31no—
147#5608—31no—
148#5608—31no—
149#5608—61no—
150#5607—31no—
151#5607—31no—
152#5607—31no—
153#5607D311yescharacteristic, complemented
154#5606—31no—
155#5606—31no—
156#5606—31no—
157#5606—31no—
158D3×#121—31no—
159D3×#121—31no—
160D3×#121—31no—
161D3×#121D311yescharacteristic, complemented
162#5599—32no—
163#5598—32no—
164#5591—32no—
165#5591—32no—
166#5590—32no—
167#5590—32no—
168#5524—31no—
169#5523—31no—
170#5510—31no—
171#5504—31no—
172#5490—32no—
173#5490—32no—
174C23×C3×D3C2311yescharacteristic
175C23×C3×D3C2312yes—
176C23×C3×D3C2312yes—
177C22×D32C2311yescharacteristic
178C22×D32C2311yescharacteristic
179C22×D32C2312yes—
180C2×C32×D4C2311yescharacteristic
181C2×C32×D4C2312yes—
182C22×C32×C4C2311yescharacteristic
183C2×#638C2311yescharacteristic
184C2×#638C2311yescharacteristic
185C2×#638C2312yes—
186C2×#638C2312yes—
187C22×C3⋊Dic3C2312yes—
188#3830—24no—
189#3828—24no—
190C2×C4⋊(C3⋊D3)C2311yescharacteristic
191C2×C4×C3⋊D3C2311yescharacteristic
192C2×C4×C3⋊D3C2312yes—
193C2×C4×C3⋊D3C2311yescharacteristic
194C2×#634C2311yescharacteristic
195C2×#634C2311yescharacteristic
196C2×C3×#67C2312yes—
197C2×C3×#67C2312yes—
198C2×C3×#67C2312yes—
199C2×C3×#67C2311yescharacteristic
200C2×C3×#67C2311yescharacteristic
201C2×C3×#67C2312yes—
202C2×C3×#67C2312yes—
203C2×C3×#67C2312yes—
204C22×C3×Dic3C2311yescharacteristic
205C3×D3×D4—24no—
206C3×D3×D4—24no—
207C3×D3×D4—44no—
208C3×#235—24no—
209C2×C3×D12C2311yescharacteristic
210C2×C3×D12C2312yes—
211C2×C3×D12C2311yescharacteristic
212C2×C3×D12C2311yescharacteristic
213C2×C3×D12C2312yes—
214C2×C3×C4×D3—24no—
215C2×C3×C4×D3C2311yescharacteristic
216C2×C3×C4×D3C2311yescharacteristic
217C2×C3×C4×D3C2311yescharacteristic
218C2×C3×C4×D3C2311yescharacteristic
219C2×C3×C4×D3C2312yes—
220C2×C3×C4×D3C2311yescharacteristic
221C2×C3×C4×D3C2311yescharacteristic
222C2×C3×Dic6C2311yescharacteristic
223D3×#67—24no—
224D3×#67—28no—
225D3×#67—28no—
226D3×#67—24no—
227D3×#67—44no—
228C2×#627C2311yescharacteristic
229C2×#627C2311yescharacteristic
230C2×#626C2311yescharacteristic
231C2×#626C2311yescharacteristic
232C2×#626C2312yes—
233C2×#626C2312yes—
234C2×#626C2311yescharacteristic
235C2×#626C2311yescharacteristic
236C2×#625—28no—
237C2×#625C2311yescharacteristic
238C2×#625C2312yes—
239C2×#625C2312yes—
240C2×#625C2312yes—
241C2×#625C2312yes—
242C2×#625C2312yes—
243C2×#625C2311yescharacteristic
244C2×#624C2311yescharacteristic
245C2×#624C2311yescharacteristic
246#3805—28no—
247#3804—24no—
248#3804—24no—
249C2×D3×Dic3C2311yescharacteristic
250C2×D3×Dic3C2311yescharacteristic
251C2×D3×Dic3C2311yescharacteristic
252C2×D3×Dic3C2311yescharacteristic
253C2×D3×Dic3C2312yes—
254C2×D3×Dic3C2312yes—
255C2×D3×Dic3C2312yes—
256#3802—24no—
257#3802—44no—
258D3×D12—24no—
259C4×D32—24no—
260C4×D32—24no—
261#3799—24no—
262#3798—24no—
263#3798D418yescomplemented
264#3795—24no—
265#3795—24no—
266#3795—24no—
267D3×Dic6—24no—
268C32×C4⋊C4C2311yescharacteristic
269C32×C22⋊C4C2312yes—
270#3757C2312yes—
271#3757C2312yes—
272#3752C2312yes—
273C4⋊(C3⋊Dic3)C2312yes—
274C4⋊(C3⋊Dic3)C2311yescharacteristic
275#3750C2312yes—
276#3750C2312yes—
277C3×#217C2312yes—
278C3×#217C2312yes—
279C3×(C2×D3)⋊C4C2312yes—
280C3×(C2×D3)⋊C4C2312yes—
281C3×(C2×D3)⋊C4C2312yes—
282C3×(C2×D3)⋊C4C2312yes—
283C3×(C2×D3)⋊C4C2312yes—
284C3×C4⋊Dic3C2311yescharacteristic
285C3×C4⋊Dic3C2311yescharacteristic
286C3×Dic3⋊C4C2312yes—
287C3×C4×Dic3C2312yes—
288Dic3⋊Dic3C2312yes—
289Dic3⋊Dic3C2312yes—
290Dic3⋊Dic3C2312yes—
291#3722C2312yes—
292(C2×D3)⋊Dic3C2312yes—
293(C2×D3)⋊Dic3C2312yes—
294(C2×D3)⋊Dic3C2312yes—
295(C2×D3)⋊Dic3C2312yes—
296(C2×D3)⋊Dic3C2312yes—
297(C2×D3)⋊Dic3C2312yes—
298(C2×D3)⋊Dic3C2312yes—
299Dic32C2312yes—
300Dic32C2312yes—
301#3488—91noSylow
302C2×C3×#41—31no—
303C22×C3×D4—31no—
304C22×C3×D4—31no—
305C22×C3×D4—32no—
306C23×C3×C4—31no—
307C22×#67—32no—
308C22×#67—32no—
309C22×#67—31no—
310C22×#67—31no—
311C22×#67—32no—
312C22×#67—32no—
313C22×#67—32no—
314D3×#41—68no—
315C2×#239—31no—
316C2×D3×Q8—31no—
317#1004—68no—
318#1004—68no—
319C2×#237—31no—
320C2×#237—31no—
321C2×#237—32no—
322C2×#237—32no—
323C2×#237—31no—
324C2×#237—31no—
325C2×#237—31no—
326C2×#237—31no—
327C2×#237—31no—
328C2×#237—61no—
329C2×D3×D4—32no—
330C2×D3×D4—32no—
331C2×D3×D4—31no—
332C2×D3×D4—31no—
333C2×D3×D4—32no—
334C2×D3×D4—31no—
335C2×D3×D4—31no—
336C2×D3×D4—32no—
337C2×D3×D4—32no—
338C2×D3×D4—31no—
339C2×D3×D4C2×D311yescharacteristic, complemented
340C2×D3×D4C2×D311yescharacteristic, complemented
341C2×D3×D4C2×D312yescomplemented
342C2×#235—31no—
343C2×#235—31no—
344C2×#235—31no—
345C2×#235—31no—
346C2×#235—31no—
347C2×#235—31no—
348C2×#235—31no—
349C2×#235—31no—
350C2×#235—31no—
351C2×#235—31no—
352C2×#235—31no—
353C2×#235—31no—
354C2×#235—61no—
355C2×#235—68no—
356C2×#235C2×D311yescharacteristic, complemented
357C22×D12—31no—
358C22×C4×D3—31no—
359C22×C4×D3—31no—
360C22×C4×D3—31no—
361C22×C4×D3—31no—
362C22×C4×D3C2×D311yescharacteristic, complemented
363C22×Dic6—31no—
364C3×#127—32no—
365C3×#124—32no—
366C3×#121—21no—
367C3×#121—31no—
368C3×#121—31no—
369C3×#121—32no—
370C3×#121—31no—
371C3×#121—31no—
372C3×#121—31no—
373C3×#121—31no—
374C3×#121—32no—
375C3×#121C2×D311yescharacteristic, complemented
376C3×#121C2×D311yescharacteristic, complemented
377C3×#120—32no—
378C3×#120—32no—
379C3×#117—31no—
380C2×C3×C4⋊C4—31no—
381C2×C3×C22⋊C4—32no—
382#953—32no—
383#953—32no—
384#953—32no—
385C2×#217—32no—
386#946—32no—
387#940—32no—
388#940—32no—
389#940—32no—
390#940—32no—
391#940C2×D312yescomplemented
392#939—32no—
393#939—32no—
394#939—32no—
395#939—32no—
396#939—32no—
397#939—32no—
398#939—32no—
399#939—32no—
400#939—32no—
401#939—62no—
402#939C2×D312yescomplemented
403#938—32no—
404#938—31no—
405#938—32no—
406#938—31no—
407#938—32no—
408#938—32no—
409#938—32no—
410#938—32no—
411#938—31no—
412#938—31no—
413#938—32no—
414#938—31no—
415#938—31no—
416#938—61no—
417#938—62no—
418#938C2×D311yescharacteristic, complemented
419#938C2×D311yescharacteristic, complemented
420#937—32no—
421#937—32no—
422#937—32no—
423#937—32no—
424#937—32no—
425#937—32no—
426#937—32no—
427#937C2×D312yescomplemented
428#936—32no—
429D4×Dic3—32no—
430D4×Dic3—32no—
431D4×Dic3—32no—
432D4×Dic3—32no—
433#930—32no—
434#930—31no—
435#930—31no—
436#930—32no—
437#930C2×D311yescharacteristic, complemented
438#930C2×D311yescharacteristic, complemented
439#929—32no—
440C4×#67—32no—
441C4×#67—32no—
442C4×#67—32no—
443C4×#67—32no—
444#926—31no—
445C2×C4⋊Dic3—31no—
446#924—31no—
447#924—31no—
448#924—31no—
449#924—31no—
450#924—61no—
451#897—31no—
452#897—31no—
453#897—31no—
454#897—31no—
455#897—32no—
456#897—61no—
457#895—32no—
458#895—31no—
459#895—31no—
460#895C2×D311yescharacteristic, complemented
461#895C2×D311yescharacteristic, complemented
462#893—32no—
463#892—31no—
464#892—31no—
465#892—31no—
466#892C2×D311yescharacteristic, complemented
467D3×C4⋊C4—31no—
468D3×C4⋊C4—31no—
469D3×C4⋊C4—31no—
470D3×C4⋊C4—61no—
471D3×C4⋊C4C2×D311yescharacteristic, complemented
472#887—32no—
473#886—32no—
474#885—32no—
475#885—32no—
476#885—32no—
477#885C2×D312yescomplemented
478#884—32no—
479#884—32no—
480#884—32no—
481#884—32no—
482#884—32no—
483#884—32no—
484#884—32no—
485#884—62no—
486#884C2×D312yescomplemented
487#883—32no—
488#883—32no—
489#883—32no—
490#883—32no—
491#882—32no—
492#882—32no—
493#882—32no—
494#882—32no—
495#882C2×D312yescomplemented
496#67⋊C4—32no—
497#67⋊C4—32no—
498#67⋊C4—32no—
499#67⋊C4—32no—
500#67⋊C4—32no—
501#67⋊C4—32no—
502D3×C22⋊C4—32no—
503D3×C22⋊C4—32no—
504D3×C22⋊C4—32no—
505D3×C22⋊C4C2×D312yescomplemented
506#878—32no—
507#878—32no—
508#878—32no—
509#878—32no—
510#878—62no—
511C4×D12—32no—
512C4×D12—32no—
513C4×D12—32no—
514C4×Dic6—32no—
515C23×C32C2412yes—
516C23×C32C2411yescharacteristic
517C22×C3⋊D3C2411yescharacteristic
518C22×C3⋊D3C2411yescharacteristic
519C22×C3×D3—22no—
520C22×C3×D3—22no—
521C22×C3×D3—24no—
522C22×C3×D3—24no—
523C22×C3×D3—41no—
524C22×C3×D3—42no—
525C22×C3×D3—42no—
526C22×C3×D3—42no—
527C22×C3×D3—42no—
528C22×C3×D3C2412yes—
529C22×C3×D3C2412yes—
530C22×C3×D3C2411yescharacteristic
531C22×C3×D3C2411yescharacteristic
532C22×C3×D3C2411yescharacteristic
533C22×C3×D3C2411yescharacteristic
534C2×D32—22no—
535C2×D32—22no—
536C2×D32—22no—
537C2×D32—22no—
538C2×D32—24no—
539C2×D32—41no—
540C2×D32—41no—
541C2×D32—42no—
542C2×D32—42no—
543C32×D4—22no—
544C32×D4—42no—
545C2×C32×C4—22no—
546C2×C32×C4C2412yes—
547C2×C32×C4C2411yescharacteristic
548C2×C32×C4C2411yescharacteristic
549#638—22no—
550#638—24no—
551#638—22no—
552#638—42no—
553C2×C3⋊Dic3—24no—
554C2×C3⋊Dic3C2412yes—
555C2×C3⋊Dic3C2411yescharacteristic
556C2×C3⋊Dic3C2412yes—
557C2×C3⋊Dic3C2411yescharacteristic
558C4⋊(C3⋊D3)—22no—
559C4×C3⋊D3—22no—
560C4×C3⋊D3—42no—
561C4×C3⋊D3C2×D414yescomplemented
562#634—22no—
563#634—22no—
564C3×#67—22no—
565C3×#67—24no—
566C3×#67—22no—
567C3×#67—24no—
568C3×#67—24no—
569C3×#67—42no—
570C3×#67—42no—
571C3×#67—42no—
572C2×C3×Dic3—22no—
573C2×C3×Dic3C2412yes—
574C2×C3×Dic3C2412yes—
575C2×C3×Dic3C2411yescharacteristic
576C2×C3×Dic3C2411yescharacteristic
577C2×C3×Dic3C2411yescharacteristic
578C2×C3×Dic3C2411yescharacteristic
579C3×D12—22no—
580C3×D12—24no—
581C3×D12—22no—
582C3×D12—22no—
583C3×D12—42no—
584C3×C4×D3—22no—
585C3×C4×D3—22no—
586C3×C4×D3—22no—
587C3×C4×D3—22no—
588C3×C4×D3—42no—
589C3×C4×D3C2×D414yescomplemented
590C3×C4×D3C2×D414yescomplemented
591C3×Dic6—22no—
592#627—22no—
593#627C2×D414yescomplemented
594#626—22no—
595#626—22no—
596#626—42no—
597#626—42no—
598#626C2×D414yescomplemented
599#626C2×D414yescomplemented
600#625—22no—
601#625—24no—
602#625—24no—
603#625—24no—
604#625—24no—
605#625—42no—
606#625C2×D414yescomplemented
607#624—22no—
608#624—22no—
609D3×Dic3—22no—
610D3×Dic3—22no—
611D3×Dic3—22no—
612D3×Dic3—22no—
613D3×Dic3—24no—
614D3×Dic3—24no—
615D3×Dic3—42no—
616C2×H(5,𝔽2)—91no—
617C22×#41—91no—
618#550—92no—
619#548—92no—
620#546—92no—
621#546—92no—
622#546—92no—
623D42—92no—
624D42—92no—
625D42—92no—
626#537—91no—
627#537—91no—
628#537—91no—
629#535—31no—
630#535—91no—
631#535—91no—
632#525—91no—
633#525—91no—
634#525—91no—
635C2×#121—31no—
636C2×#121—91no—
637C2×#121—91no—
638#520—91no—
639C24×C3—31no—
640C24×C3—32no—
641C24×C3—32no—
642C23×D3—31no—
643C23×D3—31no—
644C23×D3—31no—
645C23×D3—31no—
646C23×D3—32no—
647C23×D3—32no—
648C23×D3C22×D311yescharacteristic
649C23×D3C22×D312yes—
650C23×D3C22×D312yes—
651C3×#41—64no—
652C2×C3×Q8—31no—
653C2×C3×D4—21no—
654C2×C3×D4—22no—
655C2×C3×D4—32no—
656C2×C3×D4—32no—
657C2×C3×D4—32no—
658C2×C3×D4—31no—
659C2×C3×D4—31no—
660C2×C3×D4—32no—
661C2×C3×D4—32no—
662C2×C3×D4—32no—
663C2×C3×D4—32no—
664C2×C3×D4—31no—
665C2×C3×D4—31no—
666C2×C3×D4—31no—
667C2×C3×D4—32no—
668C2×C3×D4—64no—
669C2×C3×D4—64no—
670C2×C3×D4—124no—
671C2×C3×D4C22×D311yescharacteristic
672C2×C3×D4C22×D311yescharacteristic
673C2×C3×D4C22×D312yes—
674C2×C3×D4C22×D312yes—
675C22×C3×C4—21no—
676C22×C3×C4—31no—
677C22×C3×C4—31no—
678C22×C3×C4—31no—
679C22×C3×C4—31no—
680C22×C3×C4—31no—
681C22×C3×C4—31no—
682C22×C3×C4—31no—
683C22×C3×C4—32no—
684C22×C3×C4—64no—
685C22×C3×C4C22×D311yescharacteristic
686C22×C3×C4C22×D311yescharacteristic
687C2×#67—31no—
688C2×#67—31no—
689C2×#67—32no—
690C2×#67—32no—
691C2×#67—31no—
692C2×#67—31no—
693C2×#67—31no—
694C2×#67—31no—
695C2×#67—32no—
696C2×#67—32no—
697C2×#67—32no—
698C2×#67—32no—
699C2×#67—32no—
700C2×#67—32no—
701C2×#67—32no—
702C2×#67—32no—
703C2×#67—31no—
704C2×#67—31no—
705C2×#67—32no—
706C2×#67—32no—
707C2×#67—32no—
708C2×#67—32no—
709C2×#67—31no—
710C2×#67—31no—
711C2×#67—31no—
712C2×#67—31no—
713C2×#67—32no—
714C2×#67—32no—
715C2×#67—62no—
716C2×#67—61no—
717C2×#67—61no—
718C2×#67—62no—
719C2×#67—64no—
720C2×#67—64no—
721C2×#67—68no—
722C2×#67—68no—
723C2×#67—68no—
724C2×#67—68no—
725C2×#67—124no—
726C2×#67C22×D312yes—
727C2×#67C22×D312yes—
728C2×#67C22×D312yes—
729C2×#67C22×D311yescharacteristic
730C2×#67C22×D311yescharacteristic
731C2×#67C22×D312yes—
732C2×#67C22×D312yes—
733C2×#67C22×D312yes—
734C22×Dic3—32no—
735C22×Dic3—32no—
736C22×Dic3—32no—
737C22×Dic3—32no—
738C22×Dic3—31no—
739C22×Dic3—31no—
740C22×Dic3—31no—
741C22×Dic3—31no—
742C22×Dic3—32no—
743C22×Dic3—62no—
744C22×Dic3C22×D311yescharacteristic
745#239—64no—
746D3×Q8—64no—
747#237—64no—
748#237—68no—
749#237—68no—
750#237—64no—
751#237—64no—
752#237—64no—
753#237—64no—
754#237—64no—
755#237—64no—
756#237—124no—
757D3×D4—24no—
758D3×D4—24no—
759D3×D4—44no—
760D3×D4—64no—
761D3×D4—64no—
762D3×D4—64no—
763D3×D4—68no—
764D3×D4—68no—
765D3×D4—64no—
766D3×D4—64no—
767D3×D4—124no—
768D3×D4—124no—
769D3×D4—124no—
770#235—24no—
771#235—38no—
772#235—38no—
773#235—64no—
774#235—64no—
775#235—64no—
776#235—64no—
777#235—64no—
778#235—64no—
779#235—64no—
780#235—64no—
781#235—64no—
782#235—64no—
783#235—124no—
784C2×D12—31no—
785C2×D12—31no—
786C2×D12—31no—
787C2×D12—31no—
788C2×D12—31no—
789C2×D12—31no—
790C2×D12—32no—
791C2×D12—32no—
792C2×D12—61no—
793C2×D12—64no—
794C2×D12C22×D312yes—
795C2×D12C22×D311yescharacteristic
796C2×D12C22×D311yescharacteristic
797C2×D12C22×D311yescharacteristic
798C2×D12C22×D312yes—
799C2×C4×D3—24no—
800C2×C4×D3—31no—
801C2×C4×D3—31no—
802C2×C4×D3—31no—
803C2×C4×D3—32no—
804C2×C4×D3—31no—
805C2×C4×D3—31no—
806C2×C4×D3—31no—
807C2×C4×D3—32no—
808C2×C4×D3—31no—
809C2×C4×D3—31no—
810C2×C4×D3—31no—
811C2×C4×D3—31no—
812C2×C4×D3—31no—
813C2×C4×D3—31no—
814C2×C4×D3—32no—
815C2×C4×D3—32no—
816C2×C4×D3—32no—
817C2×C4×D3—61no—
818C2×C4×D3—61no—
819C2×C4×D3—62no—
820C2×C4×D3—64no—
821C2×C4×D3—64no—
822C2×C4×D3—64no—
823C2×C4×D3—64no—
824C2×C4×D3C22×D311yescharacteristic
825C2×C4×D3C22×D311yescharacteristic
826C2×C4×D3C22×D311yescharacteristic
827C2×C4×D3C22×D311yescharacteristic
828C2×C4×D3C22×D312yes—
829C2×C4×D3C22×D311yescharacteristic
830C2×C4×D3C22×D311yescharacteristic
831C2×Dic6—31no—
832C2×Dic6—31no—
833C2×Dic6—31no—
834C2×Dic6—31no—
835C2×Dic6—31no—
836C2×Dic6—31no—
837C2×Dic6—31no—
838C2×Dic6—31no—
839C2×Dic6—61no—
840C2×Dic6—61no—
841C2×Dic6—64no—
842C2×Dic6C22×D311yescharacteristic
843C3×C4⋊C4—21no—
844C3×C4⋊C4—32no—
845C3×C4⋊C4—31no—
846C3×C4⋊C4—31no—
847C3×C4⋊C4C22×D311yescharacteristic
848C3×C4⋊C4C22×D311yescharacteristic
849C3×C22⋊C4—22no—
850C3×C22⋊C4—32no—
851C3×C22⋊C4—32no—
852C3×C22⋊C4—32no—
853C3×C22⋊C4—32no—
854C3×C22⋊C4—32no—
855C3×C22⋊C4—32no—
856C3×C22⋊C4—32no—
857C3×C22⋊C4C22×D312yes—
858C3×C22⋊C4C22×D312yes—
859C3×C42—32no—
860#217—32no—
861#217—32no—
862#217—32no—
863#217—32no—
864#217—32no—
865#217—32no—
866#217—32no—
867#217—32no—
868#217—32no—
869#217—32no—
870#217—32no—
871#217—62no—
872#217—62no—
873#217C22×D312yes—
874#217C22×D312yes—
875(C2×D3)⋊C4—32no—
876(C2×D3)⋊C4—32no—
877(C2×D3)⋊C4—32no—
878(C2×D3)⋊C4—32no—
879(C2×D3)⋊C4—32no—
880(C2×D3)⋊C4—32no—
881(C2×D3)⋊C4—32no—
882(C2×D3)⋊C4—32no—
883(C2×D3)⋊C4—32no—
884(C2×D3)⋊C4—32no—
885(C2×D3)⋊C4—32no—
886(C2×D3)⋊C4—62no—
887(C2×D3)⋊C4C22×D312yes—
888(C2×D3)⋊C4C22×D312yes—
889(C2×D3)⋊C4C22×D312yes—
890(C2×D3)⋊C4C22×D312yes—
891(C2×D3)⋊C4C22×D312yes—
892C4⋊Dic3—32no—
893C4⋊Dic3—32no—
894C4⋊Dic3—31no—
895C4⋊Dic3—31no—
896C4⋊Dic3—32no—
897C4⋊Dic3—32no—
898C4⋊Dic3—32no—
899C4⋊Dic3—62no—
900C4⋊Dic3—61no—
901C4⋊Dic3C22×D311yescharacteristic
902C4⋊Dic3C22×D311yescharacteristic
903Dic3⋊C4—32no—
904Dic3⋊C4—32no—
905Dic3⋊C4—32no—
906Dic3⋊C4—32no—
907Dic3⋊C4—32no—
908Dic3⋊C4—32no—
909Dic3⋊C4—32no—
910Dic3⋊C4—62no—
911Dic3⋊C4—62no—
912Dic3⋊C4C22×D312yes—
913C4×Dic3—32no—
914C4×Dic3—32no—
915C4×Dic3—32no—
916C4×Dic3—32no—
917C4×Dic3C22×D312yes—
918C22×C32—21no—
919C22×C32—22no—
920C22×C32—22no—
921C22×C32—21no—
922C22×C32—21no—
923C22×C32—22no—
924C22×C32C2511yescharacteristic
925C2×C3⋊D3—21no—
926C2×C3⋊D3—21no—
927C2×C3⋊D3—21no—
928C2×C3⋊D3—21no—
929C2×C3⋊D3—21no—
930C2×C3⋊D3C22×D412yes—
931C2×C3×D3—21no—
932C2×C3×D3—21no—
933C2×C3×D3—21no—
934C2×C3×D3—21no—
935C2×C3×D3—21no—
936C2×C3×D3—21no—
937C2×C3×D3—22no—
938C2×C3×D3—22no—
939C2×C3×D3—21no—
940C2×C3×D3—22no—
941C2×C3×D3—21no—
942C2×C3×D3—22no—
943C2×C3×D3—22no—
944C2×C3×D3—21no—
945C2×C3×D3—22no—
946C2×C3×D3—44no—
947C2×C3×D3—84no—
948C2×C3×D3—84no—
949C2×C3×D3C22×D412yes—
950C2×C3×D3C22×D412yes—
951C2×C3×D3H(5,𝔽2)12yescomplemented
952D32—44no—
953D32—44no—
954D32—84no—
955C32×C4—21no—
956C32×C4—22no—
957C32×C4C22×D412yes—
958C3⋊Dic3—22no—
959C3⋊Dic3—21no—
960C3⋊Dic3—22no—
961C3⋊Dic3C22×D412yes—
962C3×Dic3—21no—
963C3×Dic3—21no—
964C3×Dic3—22no—
965C3×Dic3—22no—
966C3×Dic3C22×D412yes—
967C3×Dic3C22×D412yes—
968H(5,𝔽2)—188no—
969C2×#41—31no—
970C2×#41—91no—
971C2×#41—91no—
972C2×#41—91no—
973C2×#41—91no—
974C2×#41—91no—
975C2×#41—91no—
976C2×#41—91no—
977C2×#41—91no—
978C2×#41—92no—
979C2×#41—91no—
980C2×#41—91no—
981C2×#41—188no—
982C22×Q8—91no—
983C22×D4—31no—
984C22×D4—31no—
985C22×D4—32no—
986C22×D4—91no—
987C22×D4—91no—
988C22×D4—92no—
989C22×D4—91no—
990C22×D4—91no—
991C22×D4—92no—
992C22×D4—92no—
993C22×D4—92no—
994C22×D4—92no—
995C23×C4—31no—
996C23×C4—91no—
997C23×C4—91no—
998#127—32no—
999#127—92no—
1000#127—92no—
1001#124—32no—
1002#124—92no—
1003#124—92no—
1004#123—92no—
1005#123—92no—
1006#123—92no—
1007C22⋊Q8—92no—
1008C22⋊Q8—92no—
1009C22⋊Q8—91no—
1010C22⋊Q8—91no—
1011C22⋊Q8—91no—
1012C22⋊Q8—91no—
1013C22⋊Q8—92no—
1014#121—31no—
1015#121—32no—
1016#121—31no—
1017#121—31no—
1018#121—31no—
1019#121—31no—
1020#121—31no—
1021#121—32no—
1022#121—92no—
1023#121—92no—
1024#121—92no—
1025#121—92no—
1026#121—92no—
1027#121—91no—
1028#121—91no—
1029#121—92no—
1030#121—91no—
1031#121—91no—
1032#121—92no—
1033#121—92no—
1034#121—92no—
1035#121—92no—
1036#121—91no—
1037#121—92no—
1038#121—92no—
1039#121—92no—
1040#121D3211yescharacteristic, complemented
1041#120—32no—
1042#120—32no—
1043#120—92no—
1044#120—92no—
1045#120—92no—
1046#120—92no—
1047#120—92no—
1048#120—92no—
1049#120—92no—
1050C4×Q8—92no—
1051C4×D4—92no—
1052C4×D4—92no—
1053C4×D4—92no—
1054C4×D4—92no—
1055C4×D4—92no—
1056C4×D4—92no—
1057C4×D4—92no—
1058C4×D4—92no—
1059C4×D4—92no—
1060#117—31no—
1061#117—91no—
1062#117—91no—
1063C2×C4⋊C4—31no—
1064C2×C4⋊C4—91no—
1065C2×C4⋊C4—91no—
1066C2×C22⋊C4—32no—
1067C2×C22⋊C4—92no—
1068C2×C22⋊C4—92no—
1069C23×C3—21no—
1070C23×C3—22no—
1071C23×C3—31no—
1072C23×C3—31no—
1073C23×C3—31no—
1074C23×C3—32no—
1075C23×C3—32no—
1076C23×C3—31no—
1077C23×C3—62no—
1078C23×C3—62no—
1079C23×C3—64no—
1080C23×C3—64no—
1081C23×C3—121no—
1082C23×C3—122no—
1083C23×C3—122no—
1084C23×C3—122no—
1085C23×C3—122no—
1086C23×C3C23×D311yescharacteristic
1087C23×C3C23×D311yescharacteristic
1088C23×C3C23×D312yes—
1089C23×C3C23×D312yes—
1090C22×D3—22no—
1091C22×D3—22no—
1092C22×D3—24no—
1093C22×D3—24no—
1094C22×D3—31no—
1095C22×D3—31no—
1096C22×D3—31no—
1097C22×D3—31no—
1098C22×D3—41no—
1099C22×D3—42no—
1100C22×D3—42no—
1101C22×D3—42no—
1102C22×D3—42no—
1103C22×D3—61no—
1104C22×D3—61no—
1105C22×D3—62no—
1106C22×D3—62no—
1107C22×D3—64no—
1108C22×D3—64no—
1109C22×D3—62no—
1110C22×D3—62no—
1111C22×D3—62no—
1112C22×D3—62no—
1113C22×D3—62no—
1114C22×D3—62no—
1115C22×D3—121no—
1116C22×D3—121no—
1117C22×D3—121no—
1118C22×D3—121no—
1119C22×D3—122no—
1120C22×D3—122no—
1121C22×D3—122no—
1122C22×D3—122no—
1123C22×D3C23×D312yes—
1124C22×D3C23×D312yes—
1125C22×D3C23×D311yescharacteristic
1126C22×D3C23×D311yescharacteristic
1127C22×D3C23×D311yescharacteristic
1128C22×D3C23×D311yescharacteristic
1129C3×Q8—62no—
1130C3×D4—22no—
1131C3×D4—22no—
1132C3×D4—42no—
1133C3×D4—42no—
1134C3×D4—42no—
1135C3×D4—62no—
1136C3×D4—64no—
1137C3×D4—64no—
1138C3×D4—64no—
1139C3×D4—62no—
1140C3×D4—62no—
1141C3×D4—64no—
1142C3×D4—62no—
1143C3×D4—62no—
1144C3×D4—82no—
1145C3×D4—122no—
1146C3×D4—122no—
1147C3×D4—122no—
1148C3×D4—122no—
1149C2×C3×C4—22no—
1150C2×C3×C4—22no—
1151C2×C3×C4—21no—
1152C2×C3×C4—21no—
1153C2×C3×C4—22no—
1154C2×C3×C4—31no—
1155C2×C3×C4—31no—
1156C2×C3×C4—34no—
1157C2×C3×C4—34no—
1158C2×C3×C4—32no—
1159C2×C3×C4—32no—
1160C2×C3×C4—31no—
1161C2×C3×C4—31no—
1162C2×C3×C4—42no—
1163C2×C3×C4—62no—
1164C2×C3×C4—62no—
1165C2×C3×C4—62no—
1166C2×C3×C4—62no—
1167C2×C3×C4—62no—
1168C2×C3×C4—122no—
1169C2×C3×C4C23×D312yes—
1170C2×C3×C4C23×D311yescharacteristic
1171C2×C3×C4C23×D311yescharacteristic
1172C2×C3×C4C23×D312yes—
1173C2×C3×C4C23×D311yescharacteristic
1174C2×C3×C4C23×D311yescharacteristic
1175#67—22no—
1176#67—24no—
1177#67—22no—
1178#67—24no—
1179#67—24no—
1180#67—34no—
1181#67—34no—
1182#67—34no—
1183#67—34no—
1184#67—42no—
1185#67—42no—
1186#67—42no—
1187#67—62no—
1188#67—64no—
1189#67—64no—
1190#67—62no—
1191#67—62no—
1192#67—62no—
1193#67—64no—
1194#67—64no—
1195#67—64no—
1196#67—62no—
1197#67—62no—
1198#67—64no—
1199#67—64no—
1200#67—62no—
1201#67—64no—
1202#67—64no—
1203#67—64no—
1204#67—62no—
1205#67—122no—
1206#67—122no—
1207#67—124no—
1208#67—122no—
1209#67—122no—
1210#67—122no—
1211#67—122no—
1212#67—122no—
1213#67—122no—
1214#67—242no—
1215C2×Dic3—22no—
1216C2×Dic3—31no—
1217C2×Dic3—31no—
1218C2×Dic3—32no—
1219C2×Dic3—32no—
1220C2×Dic3—32no—
1221C2×Dic3—32no—
1222C2×Dic3—31no—
1223C2×Dic3—31no—
1224C2×Dic3—61no—
1225C2×Dic3—62no—
1226C2×Dic3—62no—
1227C2×Dic3—61no—
1228C2×Dic3—62no—
1229C2×Dic3—62no—
1230C2×Dic3—62no—
1231C2×Dic3—64no—
1232C2×Dic3—64no—
1233C2×Dic3—62no—
1234C2×Dic3—64no—
1235C2×Dic3—64no—
1236C2×Dic3—124no—
1237C2×Dic3—122no—
1238C2×Dic3C23×D312yes—
1239C2×Dic3C23×D312yes—
1240C2×Dic3C23×D311yescharacteristic
1241C2×Dic3C23×D311yescharacteristic
1242C2×Dic3C23×D311yescharacteristic
1243C2×Dic3C23×D311yescharacteristic
1244D12—22no—
1245D12—24no—
1246D12—22no—
1247D12—22no—
1248D12—34no—
1249D12—34no—
1250D12—42no—
1251D12—62no—
1252D12—62no—
1253D12—62no—
1254D12—62no—
1255D12—122no—
1256D12—122no—
1257D12—122no—
1258C4×D3—22no—
1259C4×D3—22no—
1260C4×D3—22no—
1261C4×D3—22no—
1262C4×D3—34no—
1263C4×D3—34no—
1264C4×D3—42no—
1265C4×D3—64no—
1266C4×D3—62no—
1267C4×D3—62no—
1268C4×D3—62no—
1269C4×D3—62no—
1270C4×D3—62no—
1271C4×D3—62no—
1272C4×D3—64no—
1273C4×D3—64no—
1274C4×D3—62no—
1275C4×D3—62no—
1276C4×D3—62no—
1277C4×D3—62no—
1278C4×D3—122no—
1279C4×D3—122no—
1280C4×D3—122no—
1281C4×D3—122no—
1282C4×D3—242no—
1283C4×D3D3×D414yescomplemented
1284C4×D3D3×D414yescomplemented
1285Dic6—22no—
1286Dic6—34no—
1287Dic6—34no—
1288Dic6—62no—
1289Dic6—62no—
1290Dic6—62no—
1291Dic6—62no—
1292Dic6—62no—
1293Dic6—62no—
1294Dic6—122no—
1295Dic6—122no—
1296C2×C32—41no—
1297C2×C32—42no—
1298C2×C32C23×D411yescharacteristic
1299C2×C32C2×H(5,𝔽2)11yescharacteristic
1300C2×C32#58511yescharacteristic
1301C3⋊D3—22no—
1302C3⋊D3—41no—
1303C3×D3—22no—
1304C3×D3—22no—
1305C3×D3—22no—
1306C3×D3—41no—
1307C3×D3—42no—
1308C3×D3—42no—
1309C24—31no—
1310C24—32no—
1311C24—32no—
1312C24—91no—
1313C24—91no—
1314C24—92no—
1315#41—64no—
1316#41—98no—
1317#41—184no—
1318#41—184no—
1319#41—184no—
1320#41—184no—
1321#41—184no—
1322#41—184no—
1323#41—184no—
1324#41—184no—
1325#41—184no—
1326#41—188no—
1327C2×Q8—31no—
1328C2×Q8—91no—
1329C2×Q8—91no—
1330C2×Q8—91no—
1331C2×Q8—91no—
1332C2×Q8—184no—
1333C2×D4—32no—
1334C2×D4—31no—
1335C2×D4—32no—
1336C2×D4—32no—
1337C2×D4—31no—
1338C2×D4—32no—
1339C2×D4—32no—
1340C2×D4—32no—
1341C2×D4—32no—
1342C2×D4—31no—
1343C2×D4—31no—
1344C2×D4—31no—
1345C2×D4—32no—
1346C2×D4—64no—
1347C2×D4—64no—
1348C2×D4—91no—
1349C2×D4—91no—
1350C2×D4—91no—
1351C2×D4—91no—
1352C2×D4—92no—
1353C2×D4—92no—
1354C2×D4—91no—
1355C2×D4—92no—
1356C2×D4—91no—
1357C2×D4—92no—
1358C2×D4—92no—
1359C2×D4—92no—
1360C2×D4—91no—
1361C2×D4—92no—
1362C2×D4—91no—
1363C2×D4—92no—
1364C2×D4—92no—
1365C2×D4—91no—
1366C2×D4—124no—
1367C2×D4—184no—
1368C2×D4—184no—
1369C2×D4—184no—
1370C2×D4—184no—
1371C2×D4—188no—
1372C2×D4—188no—
1373C2×D4—188no—
1374C2×D4—364no—
1375C2×D4—364no—
1376C2×D4C2×D3211yescharacteristic
1377C2×D4C2×D3212yes—
1378C22×C4—31no—
1379C22×C4—31no—
1380C22×C4—31no—
1381C22×C4—31no—
1382C22×C4—31no—
1383C22×C4—31no—
1384C22×C4—31no—
1385C22×C4—32no—
1386C22×C4—64no—
1387C22×C4—91no—
1388C22×C4—91no—
1389C22×C4—91no—
1390C22×C4—91no—
1391C22×C4—91no—
1392C22×C4—91no—
1393C22×C4—92no—
1394C22×C4—92no—
1395C22×C4—92no—
1396C22×C4—91no—
1397C22×C4—92no—
1398C22×C4—91no—
1399C22×C4—92no—
1400C22×C4—184no—
1401C22×C4—184no—
1402C22×C4C2×D3211yescharacteristic
1403C4⋊C4—31no—
1404C4⋊C4—32no—
1405C4⋊C4—31no—
1406C4⋊C4—92no—
1407C4⋊C4—92no—
1408C4⋊C4—92no—
1409C4⋊C4—91no—
1410C4⋊C4—92no—
1411C4⋊C4—92no—
1412C4⋊C4—92no—
1413C4⋊C4C2×D3211yescharacteristic
1414C22⋊C4—32no—
1415C22⋊C4—32no—
1416C22⋊C4—32no—
1417C22⋊C4—32no—
1418C22⋊C4—32no—
1419C22⋊C4—32no—
1420C22⋊C4—32no—
1421C22⋊C4—92no—
1422C22⋊C4—92no—
1423C22⋊C4—92no—
1424C22⋊C4—92no—
1425C22⋊C4—92no—
1426C22⋊C4—92no—
1427C22⋊C4—92no—
1428C22⋊C4—92no—
1429C22⋊C4—92no—
1430C22⋊C4—92no—
1431C22⋊C4—92no—
1432C22⋊C4C2×D3212yes—
1433C42—32no—
1434C42—92no—
1435C42—92no—
1436C22×C3—21no—
1437C22×C3—22no—
1438C22×C3—22no—
1439C22×C3—21no—
1440C22×C3—22no—
1441C22×C3—21no—
1442C22×C3—21no—
1443C22×C3—22no—
1444C22×C3—22no—
1445C22×C3—21no—
1446C22×C3—21no—
1447C22×C3—22no—
1448C22×C3—21no—
1449C22×C3—32no—
1450C22×C3—32no—
1451C22×C3—32no—
1452C22×C3—42no—
1453C22×C3—41no—
1454C22×C3—42no—
1455C22×C3—41no—
1456C22×C3—41no—
1457C22×C3—42no—
1458C22×C3—61no—
1459C22×C3—61no—
1460C22×C3—61no—
1461C22×C3—61no—
1462C22×C3—61no—
1463C22×C3—61no—
1464C22×C3—61no—
1465C22×C3—62no—
1466C22×C3—62no—
1467C22×C3—62no—
1468C22×C3—61no—
1469C22×C3—61no—
1470C22×C3—62no—
1471C22×C3—62no—
1472C22×C3—62no—
1473C22×C3—124no—
1474C22×C3—244no—
1475C22×C3—244no—
1476C22×C3C24×D311yescharacteristic
1477C22×C3C24×D311yescharacteristic
1478C2×D3—21no—
1479C2×D3—21no—
1480C2×D3—21no—
1481C2×D3—21no—
1482C2×D3—21no—
1483C2×D3—21no—
1484C2×D3—21no—
1485C2×D3—22no—
1486C2×D3—22no—
1487C2×D3—22no—
1488C2×D3—22no—
1489C2×D3—21no—
1490C2×D3—22no—
1491C2×D3—21no—
1492C2×D3—22no—
1493C2×D3—32no—
1494C2×D3—32no—
1495C2×D3—44no—
1496C2×D3—62no—
1497C2×D3—61no—
1498C2×D3—61no—
1499C2×D3—61no—
1500C2×D3—61no—
1501C2×D3—61no—
1502C2×D3—61no—
1503C2×D3—61no—
1504C2×D3—61no—
1505C2×D3—61no—
1506C2×D3—61no—
1507C2×D3—84no—
1508C2×D3—84no—
1509C2×D3—121no—
1510C2×D3—121no—
1511C2×D3—121no—
1512C2×D3—121no—
1513C2×D3—121no—
1514C2×D3—124no—
1515C2×D3—124no—
1516C2×D3—124no—
1517C2×D3—124no—
1518C2×D3—244no—
1519C2×D3—244no—
1520C2×D3C2×D3×D412yes—
1521C2×D3C2×D3×D412yes—
1522C2×D3#100412yescomplemented
1523C3×C4—21no—
1524C3×C4—21no—
1525C3×C4—22no—
1526C3×C4—22no—
1527C3×C4—22no—
1528C3×C4—32no—
1529C3×C4—32no—
1530C3×C4—41no—
1531C3×C4—42no—
1532C3×C4—61no—
1533C3×C4—61no—
1534C3×C4—62no—
1535C3×C4—62no—
1536C3×C4C2×D3×D412yes—
1537C3×C4C2×D3×D412yes—
1538Dic3—21no—
1539Dic3—21no—
1540Dic3—22no—
1541Dic3—22no—
1542Dic3—32no—
1543Dic3—32no—
1544Dic3—62no—
1545Dic3—61no—
1546Dic3—61no—
1547Dic3—62no—
1548Dic3—62no—
1549Dic3—62no—
1550Dic3—62no—
1551Dic3—121no—
1552Dic3—122no—
1553Dic3—122no—
1554Dic3C2×D3×D412yes—
1555Dic3C2×D3×D412yes—
1556C32#348811yescharacteristic, complemented, Sylow
1557C23—31no—
1558C23—31no—
1559C23—31no—
1560C23—32no—
1561C23—32no—
1562C23—31no—
1563C23—62no—
1564C23—62no—
1565C23—64no—
1566C23—64no—
1567C23—91no—
1568C23—91no—
1569C23—121no—
1570C23—122no—
1571C23—122no—
1572C23—122no—
1573C23—122no—
1574C23—182no—
1575C23—182no—
1576C23—182no—
1577C23—182no—
1578C23—184no—
1579C23—361no—
1580C23—361no—
1581C23—362no—
1582C23—362no—
1583C23C22×D3212yes—
1584C23C22×D3211yescharacteristic
1585Q8—62no—
1586Q8—94no—
1587Q8—182no—
1588Q8—182no—
1589Q8—182no—
1590D4—22no—
1591D4—42no—
1592D4—64no—
1593D4—62no—
1594D4—64no—
1595D4—64no—
1596D4—62no—
1597D4—64no—
1598D4—62no—
1599D4—62no—
1600D4—62no—
1601D4—94no—
1602D4—94no—
1603D4—94no—
1604D4—122no—
1605D4—122no—
1606D4—122no—
1607D4—122no—
1608D4—182no—
1609D4—182no—
1610D4—182no—
1611D4—182no—
1612D4—184no—
1613D4—184no—
1614D4—182no—
1615D4—184no—
1616D4—184no—
1617D4—182no—
1618D4—184no—
1619D4—362no—
1620D4—362no—
1621D4—362no—
1622D4—362no—
1623C2×C4—22no—
1624C2×C4—31no—
1625C2×C4—31no—
1626C2×C4—34no—
1627C2×C4—34no—
1628C2×C4—32no—
1629C2×C4—32no—
1630C2×C4—31no—
1631C2×C4—31no—
1632C2×C4—62no—
1633C2×C4—62no—
1634C2×C4—62no—
1635C2×C4—62no—
1636C2×C4—62no—
1637C2×C4—91no—
1638C2×C4—94no—
1639C2×C4—92no—
1640C2×C4—91no—
1641C2×C4—92no—
1642C2×C4—122no—
1643C2×C4—182no—
1644C2×C4—182no—
1645C2×C4—184no—
1646C2×C4—184no—
1647C2×C4—182no—
1648C2×C4—182no—
1649C2×C4—182no—
1650C2×C4—182no—
1651C2×C4—184no—
1652C2×C4—182no—
1653C2×C4—362no—
1654C2×C4—362no—
1655C2×C4C22×D3212yes—
1656C2×C4C22×D3211yescharacteristic
1657C2×C4C22×D3211yescharacteristic
1658C2×C3—21no—
1659C2×C3—21no—
1660C2×C3—21no—
1661C2×C3—42no—
1662C2×C3—41no—
1663C2×C3—41no—
1664C2×C3—42no—
1665C2×C3—62no—
1666C2×C3—62no—
1667C2×C3—62no—
1668C2×C3—81no—
1669C2×C3—82no—
1670C2×C3—122no—
1671C2×C3—121no—
1672C2×C3—122no—
1673C2×C3C22×D3×D411yescharacteristic
1674C2×C3C22×D3×D411yescharacteristic
1675C2×C3C2×#100411yescharacteristic
1676C2×C3#596411yescharacteristic
1677C2×C3D3×H(5,𝔽2)11yescharacteristic
1678C2×C3#596611yescharacteristic
1679D3—22no—
1680D3—22no—
1681D3—22no—
1682D3—42no—
1683D3—41no—
1684D3—42no—
1685D3—62no—
1686D3—62no—
1687D3—122no—
1688D3—121no—
1689D3—121no—
1690D3—241no—
1691C22—21no—
1692C22—22no—
1693C22—21no—
1694C22—22no—
1695C22—21no—
1696C22—22no—
1697C22—32no—
1698C22—32no—
1699C22—32no—
1700C22—61no—
1701C22—61no—
1702C22—61no—
1703C22—61no—
1704C22—61no—
1705C22—61no—
1706C22—61no—
1707C22—62no—
1708C22—62no—
1709C22—62no—
1710C22—61no—
1711C22—62no—
1712C22—61no—
1713C22—62no—
1714C22—62no—
1715C22—92no—
1716C22—124no—
1717C22—181no—
1718C22—181no—
1719C22—181no—
1720C22—181no—
1721C22—181no—
1722C22—244no—
1723C22—244no—
1724C22—364no—
1725C22—364no—
1726C22—724no—
1727C22C23×D3211yescharacteristic
1728C4—21no—
1729C4—22no—
1730C4—32no—
1731C4—32no—
1732C4—61no—
1733C4—61no—
1734C4—62no—
1735C4—62no—
1736C4—92no—
1737C4—182no—
1738C4—181no—
1739C4—182no—
1740C4D32×D412yes—
1741C3—21no—
1742C3#8594911yescharacteristic, complemented
1743C3#8633111yescharacteristic, complemented
1744C2—41no—
1745C2—42no—
1746C2—62no—
1747C2—62no—
1748C2—62no—
1749C2—122no—
1750C2—122no—
1751C2—121no—
1752C2—182no—
1753C2—361no—
1754C2C2×D32×D411yescharacteristic
1755C2D3×#100411yescharacteristic
1756C2#1059669611yescharacteristic
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×#64313C2semidirect
2. C2×D3×#235C2semidirect
3. #10596079C2semidirect
4. C3×#5607C2semidirect
5. C3×D3×#121C2semidirect
6. #10595306C2semidirect
7. #10595294C2semidirect
8. #10595293C2semidirect
9. #10595287C2semidirect
10. D3×#938C2semidirect
11. #10595231C2semidirect
12. #10595227C2semidirect
13. #10595082C2semidirect
14. #10595004C2semidirect
15. #10594892C2semidirect
16. #10594626C2semidirect
17. #10594612C2semidirect
18. #10594522C2semidirect
19. #10594510C2semidirect
20. #10594280C2semidirect
21. #10594275C2semidirect
22. #10594184C2semidirect
23. #10594076C2semidirect
26. C2×#3830C22semidirect
27. C2×#3828C22semidirect
28. C2×C3×D3×D4C22semidirect
29. C2×C3×D3×D4C22semidirect
30. C2×C3×D3×D4C22semidirect
31. C2×C3×#235C22semidirect
32. C22×C3×C4×D3C22semidirect
33. C2×D3×#67C22semidirect
34. C2×D3×#67C22semidirect
35. C2×D3×#67C22semidirect
36. C2×D3×#67C22semidirect
37. C2×D3×#67C22semidirect
38. C22×#625C22semidirect
39. C2×#3805C22semidirect
40. C2×#3804C22semidirect
41. C2×#3804C22semidirect
44. C2×#3802C22semidirect
45. C2×#3802C22semidirect
46. C2×D3×D12C22semidirect
47. C2×C4×D32C22semidirect
48. C2×C4×D32C22semidirect
49. C2×#3799C22semidirect
51. C2×#3798C22semidirect
52. C2×#3795C22semidirect
53. C2×#3795C22semidirect
54. C2×#3795C22semidirect
55. C2×D3×Dic6C22semidirect
56. C32×#121C22semidirect
57. #64148C22semidirect
58. #64147C22semidirect
59. #64147C22semidirect
60. #64133C22semidirect
61. #64106C22semidirect
62. C4⋊C4×C3⋊D3C22semidirect
63. #64093C22semidirect
64. #64087C22semidirect
65. C3×#940C22semidirect
66. C3×#939C22semidirect
67. C3×#938C22semidirect
68. C3×#938C22semidirect
69. C3×#937C22semidirect
70. C3×#930C22semidirect
71. C3×#930C22semidirect
72. C3×#895C22semidirect
73. C3×#895C22semidirect
74. C3×#892C22semidirect
75. C3×D3×C4⋊C4C22semidirect
76. C3×#885C22semidirect
77. C3×#884C22semidirect
78. C3×#882C22semidirect
79. C3×D3×C22⋊C4C22semidirect
80. #63983C22semidirect
81. #63983C22semidirect
82. #63979C22semidirect
83. #63979C22semidirect
84. #63977C22semidirect
85. #63976C22semidirect
86. #63976C22semidirect
87. #63975C22semidirect
88. #67⋊Dic3C22semidirect
89. #67⋊Dic3C22semidirect
90. Dic3×#67C22semidirect
91. #63970C22semidirect
92. #63970C22semidirect
93. #63970C22semidirect
94. D3×#217C22semidirect
95. #63959C22semidirect
96. #63958C22semidirect
97. #63923C22semidirect
98. #63922C22semidirect
99. #63921C22semidirect
100. #63916C22semidirect
101. #63916C22semidirect
102. #63913C22semidirect
103. #63908C22semidirect
104. #63908C22semidirect
105. #63908C22semidirect
106. #63906C22semidirect
107. #63905C22semidirect
108. C4×#626C22semidirect
109. #63893C22semidirect
110. Dic3×D12C22semidirect
111. #63891C22semidirect
112. D3×C4⋊Dic3C22semidirect
113. #63887C22semidirect
114. #63886C22semidirect
115. #63885C22semidirect
116. #63885C22semidirect
117. #63885C22semidirect
118. #63881C22semidirect
119. #63880C22semidirect
120. #63879C22semidirect
121. #63879C22semidirect
122. #63857C22semidirect
123. #63857C22semidirect
124. #63849C22semidirect
125. #63841C22semidirect
126. #63837C22semidirect
153. #5607D3semidirect
161. D3×#121D3semidirect
263. #3798D4semidirect
339. C2×D3×D4C2×D3semidirect
340. C2×D3×D4C2×D3semidirect
341. C2×D3×D4C2×D3semidirect
356. C2×#235C2×D3semidirect
362. C22×C4×D3C2×D3semidirect
375. C3×#121C2×D3semidirect
376. C3×#121C2×D3semidirect
391. #940C2×D3semidirect
402. #939C2×D3semidirect
418. #938C2×D3semidirect
419. #938C2×D3semidirect
427. #937C2×D3semidirect
437. #930C2×D3semidirect
438. #930C2×D3semidirect
460. #895C2×D3semidirect
461. #895C2×D3semidirect
466. #892C2×D3semidirect
471. D3×C4⋊C4C2×D3semidirect
477. #885C2×D3semidirect
486. #884C2×D3semidirect
495. #882C2×D3semidirect
505. D3×C22⋊C4C2×D3semidirect
561. C4×C3⋊D3C2×D4semidirect
589. C3×C4×D3C2×D4semidirect
590. C3×C4×D3C2×D4semidirect
593. #627C2×D4semidirect
598. #626C2×D4semidirect
599. #626C2×D4semidirect
606. #625C2×D4semidirect
951. C2×C3×D3H(5,𝔽2)semidirect
1040. #121D32semidirect
1283. C4×D3D3×D4semidirect
1284. C4×D3D3×D4semidirect
1522. C2×D3#1004semidirect
1556. C32#3488semidirect
1742. C3#85949semidirect
1743. C3#86331semidirect

Maximal subgroups

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

subgroupindex
C2×#643132
C2×D3×#2352
#105960792
C3×#56072
C3×D3×#1212
#105953062
#105952942
#105952932
#105952872
D3×#9382
#105952312
#105952272
#105950822
#105950042
#105948922
#105946262
#105946122
#105945222
#105945102
#105942802
#105942752
#105941842
#105940762
#863313
#859493