Finite Group Databasebeta

← #11904623

Subgroups — #11904623

Order 1152.

3530 conjugacy classes of subgroups.

The subgroup lattice has 1697 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#64308C211yesmaximal, characteristic, complemented
2C22×#3799C211yesmaximal, characteristic, complemented
3D4×C4⋊(C3⋊D3)C211yesmaximal, characteristic, complemented
4C3×#5552C211yesmaximal, characteristic, complemented
5C3×#5547C211yesmaximal, characteristic, complemented
6#10595298C212yesmaximal, complemented
7#10595292C212yesmaximal, complemented
8#10595074C211yesmaximal, characteristic, complemented
9D3×#930C211yesmaximal, characteristic, complemented
10#10595018C211yesmaximal, characteristic, complemented
11#10595007C211yesmaximal, characteristic, complemented
12#10594902C211yesmaximal, characteristic, complemented
13#10594894C211yesmaximal, characteristic, complemented
14#10594620C212yesmaximal, complemented
15#10594519C212yesmaximal, complemented
16#10594287C212yesmaximal, complemented
17#10594282C212yesmaximal, complemented
18#10594277C212yesmaximal, complemented
19#10594066C212yesmaximal, complemented
20#10594007C211yesmaximal, characteristic, complemented
21#10594001C211yesmaximal, characteristic, complemented
22#10593902C211yesmaximal, characteristic, complemented
23#10593890C211yesmaximal, characteristic, complemented
24#86713—31nomaximal
25#86041—31nomaximal
26C2×D4×C3⋊D3C2212yescomplemented
27C22×C4⋊(C3⋊D3)C2211yescharacteristic, complemented
28C22×C4⋊(C3⋊D3)C2211yescharacteristic, complemented
29C2×C3×#235C2211yescharacteristic, complemented
30C2×C3×#235C2211yescharacteristic, complemented
31C22×C3×C4×D3C2211yescharacteristic, complemented
32C22×C3×Dic6C2211yescharacteristic, complemented
33C2×#3811C2212yescomplemented
34C2×#3811C2212yescomplemented
35C2×#3811C2212yescomplemented
36C2×D3×#67C2212yescomplemented
37C22×#626C2212yescomplemented
38C22×#624C2212yescomplemented
39#64308—28no—
40C2×D3×D12C2211yescharacteristic, complemented
41C2×D3×D12C2212yescomplemented
42C2×D3×D12C2211yescharacteristic, complemented
43C2×#3799—28no—
44C2×#3799C2211yescharacteristic
45C2×#3799C2212yescomplemented
46C2×#3799C2212yescomplemented
47C2×#3799C2211yescharacteristic, complemented
48C2×#3799C2211yescharacteristic, complemented
49C2×#3799C2211yescharacteristic, complemented
50C2×#3799C2212yescomplemented
51C2×#3799C2211yescharacteristic, complemented
52C32×C4×D4C2211yescharacteristic, complemented
53#64139C2211yescharacteristic, complemented
54#64139C2211yescharacteristic, complemented
55#64104C2212yescomplemented
56#64091C2212yescomplemented
57#64091C2212yescomplemented
58#64083C2211yescharacteristic, complemented
59C4×C4⋊(C3⋊D3)C2211yescharacteristic, complemented
60C3×#939C2211yescharacteristic, complemented
61C3×#939C2212yescomplemented
62C3×#937C2211yescharacteristic, complemented
63C3×#930C2211yescharacteristic, complemented
64C3×C4×#67C2211yescharacteristic, complemented
65C3×C4×#67C2211yescharacteristic, complemented
66C3×#924C2211yescharacteristic, complemented
67C3×#896C2212yescomplemented
68C3×#896C2211yescharacteristic, complemented
69C3×#894C2211yescharacteristic, complemented
70C3×#885C2212yescomplemented
71C3×#884C2211yescharacteristic, complemented
72C3×#883C2211yescharacteristic, complemented
73C3×#882C2211yescharacteristic, complemented
74C3×#67⋊C4C2212yescomplemented
75C3×#878C2211yescharacteristic, complemented
76C3×#875C2211yescharacteristic, complemented
77C3×C4×D12C2211yescharacteristic, complemented
78C3×#872C2211yescharacteristic, complemented
79C3×C4×Dic6C2211yescharacteristic, complemented
80#63981C2212yescomplemented
81#63981C2212yescomplemented
82#63979C2212yescomplemented
83#63978C2212yescomplemented
84#63978C2212yescomplemented
85#63974C2212yescomplemented
86#63971C2212yescomplemented
87#63958C2212yescomplemented
88#63958C2212yescomplemented
89#63952C2212yescomplemented
90#63923C2212yescomplemented
91#63923C2212yescomplemented
92#63923C2212yescomplemented
93#63922C2212yescomplemented
94#63921C2212yescomplemented
95D3×(C2×D3)⋊C4C2212yescomplemented
96#63912C2212yescomplemented
97#63911C2211yescharacteristic, complemented
98#63911C2212yescomplemented
99#63910C2212yescomplemented
100#63910C2212yescomplemented
101#63910C2212yescomplemented
102#63910C2212yescomplemented
103#63910C2212yescomplemented
104#63910C2212yescomplemented
105#63909C2211yescharacteristic, complemented
106#63909C2211yescharacteristic, complemented
107#63908C2211yescharacteristic, complemented
108#63907C2212yescomplemented
109#63906C2212yescomplemented
110#63906C2212yescomplemented
111#63904C2212yescomplemented
112#63897C2212yescomplemented
113#63894C2211yescharacteristic, complemented
114#63894C2212yescomplemented
115D3×C4⋊Dic3C2211yescharacteristic, complemented
116#63888C2212yescomplemented
117#63888C2212yescomplemented
118#63886C2212yescomplemented
119#63883C2212yescomplemented
120#63881C2212yescomplemented
121#63880C2212yescomplemented
122#63864C2211yescharacteristic, complemented
123#63856C2211yescharacteristic, complemented
124#63854C2212yescomplemented
125Dic3×Dic6C2211yescharacteristic, complemented
126#63836C2212yescomplemented
127C2×#1009—31no—
128C2×#1009—31no—
129C22×#239—31no—
130C22×#235—31no—
131C3×#548—31no—
132C3×#525—31no—
133#5834—31no—
134#5833—31no—
135#5817—31no—
136C2×#930—31no—
137#5676—32no—
138#5676—31no—
139#5674—32no—
140#5674—31no—
141#5654—32no—
142#5654—32no—
143#5630—31no—
144#5630—32no—
145#5629—31no—
146#5629—32no—
147#5629—32no—
148#5627—32no—
149#5609—32no—
150#5609—31no—
151#5607—32no—
152D3×#121—31no—
153D3×#121—32no—
154D3×#121—32no—
155#5590—32no—
156#5590—32no—
157#5577—31no—
158#5574—31no—
159#5553—31no—
160#5553—31no—
161#5552—31no—
162#5552D311yescharacteristic, complemented
163#5550—31no—
164#5550—31no—
165D4×D12—31no—
166D4×D12—31no—
167D4×D12—31no—
168D4×D12—32no—
169D4×D12—61no—
170#5547—32no—
171#5547D311yescharacteristic, complemented
172#5525—31no—
173#5523—31no—
174C23×C3⋊D3C2312yes—
175C23×C3⋊D3C2312yes—
176C23×C3×D3C2311yescharacteristic
177C22×D32C2312yes—
178C22×D32C2312yes—
179C2×C32×D4C2311yescharacteristic
180C22×C32×C4C2311yescharacteristic
181C22×C32×C4C2311yescharacteristic
182C2×#638C2312yes—
183C2×#638C2312yes—
184D4×C3⋊D3—44no—
185C2×C4⋊(C3⋊D3)—24no—
186C2×C4⋊(C3⋊D3)—24no—
187C2×C4⋊(C3⋊D3)C2311yescharacteristic
188C2×C4⋊(C3⋊D3)C2312yes—
189C2×C4⋊(C3⋊D3)C2311yescharacteristic
190C2×C4⋊(C3⋊D3)C2312yes—
191C2×C4⋊(C3⋊D3)C2312yes—
192C2×C4⋊(C3⋊D3)C2312yes—
193C2×C4⋊(C3⋊D3)C2311yescharacteristic
194C2×C4×C3⋊D3C2312yes—
195C2×C3×#67C2312yes—
196C2×C3×#67C2311yescharacteristic
197C2×C3×#67C2311yescharacteristic
198C2×C3×#67C2311yescharacteristic
199C2×C3×#67C2312yes—
200C2×C3×#67C2311yescharacteristic
201C22×C3×Dic3C2311yescharacteristic
202C22×C3×Dic3C2312yes—
203C3×#235—24no—
204C3×#235—24no—
205C2×C3×D12C2311yescharacteristic
206C2×C3×D12C2311yescharacteristic
207C2×C3×D12C2311yescharacteristic
208C2×C3×C4×D3—24no—
209C2×C3×C4×D3C2312yes—
210C2×C3×C4×D3C2311yescharacteristic
211C2×C3×C4×D3C2311yescharacteristic
212C2×C3×C4×D3C2311yescharacteristic
213C2×C3×C4×D3C2311yescharacteristic
214C2×C3×C4×D3C2311yescharacteristic
215C2×C3×Dic6—24no—
216C2×C3×Dic6C2311yescharacteristic
217C2×C3×Dic6C2312yes—
218C2×C3×Dic6C2311yescharacteristic
219C2×C3×Dic6C2311yescharacteristic
220#3811—28no—
221#3811—28no—
222#3811—44no—
223D3×#67—44no—
224C2×#626—28no—
225C2×#626C2312yes—
226C2×#626C2312yes—
227C2×#626C2312yes—
228C2×#626C2312yes—
229C2×#626C2312yes—
230C2×#626C2312yes—
231C2×#626C2312yes—
232C2×#626C2312yes—
233C2×#626C2312yes—
234C2×#626C2312yes—
235C2×#626C2312yes—
236C2×#625C2312yes—
237C2×#624—28no—
238C2×#624C2312yes—
239C2×#624C2312yes—
240C2×#624C2312yes—
241C2×#624C2312yes—
242C2×#624C2312yes—
243C2×#624C2312yes—
244C2×D3×Dic3C2312yes—
245D3×D12—24no—
246D3×D12—24no—
247D3×D12—28no—
248#3799—24no—
249#3799—24no—
250#3799—24no—
251#3799—24no—
252#3799—28no—
253#3799—28no—
254#3799—28no—
255#3799D418yescomplemented
256C32×C4⋊C4C2311yescharacteristic
257C32×C22⋊C4C2311yescharacteristic
258C32×C22⋊C4C2311yescharacteristic
259C32×C42C2311yescharacteristic
260#3752C2312yes—
261#3752C2312yes—
262#3752C2312yes—
263C4⋊(C3⋊Dic3)C2311yescharacteristic
264C3×#217C2311yescharacteristic
265C3×#217C2311yescharacteristic
266C3×#217C2312yes—
267C3×(C2×D3)⋊C4C2312yes—
268C3×(C2×D3)⋊C4C2311yescharacteristic
269C3×(C2×D3)⋊C4C2311yescharacteristic
270C3×(C2×D3)⋊C4C2311yescharacteristic
271C3×(C2×D3)⋊C4C2312yes—
272C3×(C2×D3)⋊C4C2311yescharacteristic
273C3×(C2×D3)⋊C4C2311yescharacteristic
274C3×(C2×D3)⋊C4C2311yescharacteristic
275C3×(C2×D3)⋊C4C2312yes—
276C3×C4⋊Dic3C2311yescharacteristic
277C3×C4⋊Dic3C2311yescharacteristic
278C3×Dic3⋊C4C2311yescharacteristic
279C3×Dic3⋊C4C2311yescharacteristic
280C3×Dic3⋊C4C2312yes—
281C3×Dic3⋊C4C2311yescharacteristic
282C3×Dic3⋊C4C2312yes—
283C3×Dic3⋊C4C2311yescharacteristic
284C3×C4×Dic3C2312yes—
285C3×C4×Dic3C2311yescharacteristic
286#3724C2312yes—
287Dic3⋊Dic3C2312yes—
288Dic3⋊Dic3C2312yes—
289#3722C2312yes—
290#3722C2312yes—
291#3722C2312yes—
292#3722C2312yes—
293#3722C2312yes—
294(C2×D3)⋊Dic3C2312yes—
295(C2×D3)⋊Dic3C2312yes—
296Dic32C2312yes—
297#3488—91noSylow
298C2×C3×#41—31no—
299C2×C3×#41—31no—
300C22×C3×Q8—31no—
301C23×C3×C4—31no—
302C22×#67—32no—
303C22×#67—32no—
304#1009—68no—
305#1009—68no—
306C2×#239—31no—
307C2×#239—32no—
308C2×#239—31no—
309C2×#239—32no—
310C2×#239—31no—
311C2×#239—31no—
312C2×#239—31no—
313C2×#239—32no—
314C2×#239—68no—
315C2×D3×D4—32no—
316C2×D3×D4—32no—
317C2×D3×D4—32no—
318C2×D3×D4—32no—
319C2×D3×D4—32no—
320C2×D3×D4—32no—
321C2×D3×D4—32no—
322C2×D3×D4—32no—
323C2×D3×D4—32no—
324C2×D3×D4—32no—
325C2×D3×D4—31no—
326C2×D3×D4—31no—
327C2×D3×D4—62no—
328C2×#235—31no—
329C2×#235—32no—
330C2×#235—31no—
331C2×#235—31no—
332C2×#235—31no—
333C2×#235—32no—
334C2×#235—32no—
335C2×#235—31no—
336C2×#235—68no—
337C2×#235C2×D311yescharacteristic, complemented
338C2×#235C2×D311yescharacteristic, complemented
339C22×D12—32no—
340C22×D12—31no—
341C22×D12—31no—
342C22×D12—31no—
343C22×D12—31no—
344C22×D12—31no—
345C22×D12—31no—
346C22×D12—32no—
347C22×D12—61no—
348C22×D12—61no—
349C22×C4×D3—32no—
350C22×C4×D3—32no—
351C22×C4×D3C2×D311yescharacteristic, complemented
352C22×Dic6C2×D311yescharacteristic, complemented
353C3×#124—32no—
354C3×#124—31no—
355C3×#123—31no—
356C3×#123—31no—
357C3×C22⋊Q8—31no—
358C3×C22⋊Q8—31no—
359C3×C22⋊Q8—32no—
360C3×C22⋊Q8—31no—
361C3×#121—31no—
362C3×#121—32no—
363C3×#121—31no—
364C3×#121—31no—
365C3×#120—31no—
366C3×#120—31no—
367C3×C4×Q8—31no—
368C3×C4×D4—21no—
369C3×C4×D4—31no—
370C3×C4×D4—31no—
371C3×C4×D4—32no—
372C3×C4×D4—31no—
373C3×C4×D4C2×D311yescharacteristic, complemented
374C3×C4×D4C2×D311yescharacteristic, complemented
375C3×#117—31no—
376#947—32no—
377#947—31no—
378#946—31no—
379#946—32no—
380#946—32no—
381Q8×Dic3—31no—
382#940—32no—
383#940—32no—
384#940—31no—
385#940—32no—
386#939—32no—
387#939—32no—
388#939—32no—
389#939—32no—
390#939C2×D311yescharacteristic, complemented
391#939C2×D312yescomplemented
392#938—31no—
393#938—32no—
394#938—32no—
395#937—32no—
396#937—32no—
397#937—32no—
398#937C2×D311yescharacteristic, complemented
399#930—31no—
400#930—31no—
401#930—31no—
402#930—31no—
403#930—32no—
404#930—32no—
405#930—31no—
406#930—32no—
407#930—32no—
408#930—31no—
409#930—31no—
410#930—61no—
411#930—61no—
412#930C2×D311yescharacteristic, complemented
413C4×#67—32no—
414C4×#67—32no—
415C4×#67C2×D311yescharacteristic, complemented
416C4×#67C2×D311yescharacteristic, complemented
417C2×(C2×D3)⋊C4—32no—
418C2×C4⋊Dic3—31no—
419#924—31no—
420#924C2×D311yescharacteristic, complemented
421#896—32no—
422#896—32no—
423#896C2×D312yescomplemented
424#896C2×D311yescharacteristic, complemented
425#895—32no—
426#895—31no—
427#895—31no—
428#895—32no—
429#895—32no—
430#895—32no—
431#895—32no—
432#895—32no—
433#895—32no—
434#895—32no—
435#895—32no—
436#895—62no—
437#894—32no—
438#894—32no—
439#894—32no—
440#894C2×D311yescharacteristic, complemented
441#893—32no—
442#893—32no—
443#893—32no—
444#893—31no—
445#892—32no—
446D3×C4⋊C4—31no—
447D3×C4⋊C4—32no—
448D3×C4⋊C4—32no—
449#885—32no—
450#885C2×D312yescomplemented
451#884—32no—
452#884—32no—
453#884—32no—
454#884—32no—
455#884—32no—
456#884—32no—
457#884—32no—
458#884—32no—
459#884—32no—
460#884—32no—
461#884—32no—
462#884—32no—
463#884—32no—
464#884C2×D311yescharacteristic, complemented
465#883—32no—
466#883C2×D311yescharacteristic, complemented
467#882—32no—
468#882—32no—
469#882—32no—
470#882—32no—
471#882—32no—
472#882—32no—
473#882—32no—
474#882—32no—
475#882—32no—
476#882—32no—
477#882—32no—
478#882—32no—
479#882—32no—
480#882—62no—
481#882—62no—
482#882C2×D311yescharacteristic, complemented
483#67⋊C4—32no—
484#67⋊C4—32no—
485#67⋊C4—32no—
486#67⋊C4C2×D312yescomplemented
487D3×C22⋊C4—32no—
488D3×C22⋊C4—32no—
489D3×C22⋊C4—32no—
490D3×C22⋊C4—32no—
491D3×C22⋊C4—32no—
492#878C2×D311yescharacteristic, complemented
493#875—31no—
494#875C2×D311yescharacteristic, complemented
495#874—32no—
496#874—31no—
497#874—31no—
498#874—31no—
499#874—61no—
500C4×D12—31no—
501C4×D12—31no—
502C4×D12—32no—
503C4×D12—32no—
504C4×D12—31no—
505C4×D12—61no—
506C4×D12C2×D311yescharacteristic, complemented
507#872—32no—
508#872C2×D311yescharacteristic, complemented
509C4×Dic6—31no—
510C4×Dic6C2×D311yescharacteristic, complemented
511C23×C32C2411yescharacteristic
512C23×C32C2411yescharacteristic
513C22×C3⋊D3—24no—
514C22×C3⋊D3—24no—
515C22×C3⋊D3—24no—
516C22×C3⋊D3—42no—
517C22×C3⋊D3—42no—
518C22×C3⋊D3—42no—
519C22×C3⋊D3C2412yes—
520C22×C3⋊D3C2412yes—
521C22×C3⋊D3C2412yes—
522C22×C3×D3—22no—
523C22×C3×D3—22no—
524C22×C3×D3—41no—
525C22×C3×D3C2411yescharacteristic
526C22×C3×D3C2412yes—
527C22×C3×D3C2411yescharacteristic
528C22×C3×D3C2411yescharacteristic
529C2×D32—24no—
530C2×D32—24no—
531C2×D32—42no—
532C2×D32—42no—
533C2×D32—42no—
534C2×D32—42no—
535C32×D4—22no—
536C2×C32×C4—22no—
537C2×C32×C4—22no—
538C2×C32×C4C2411yescharacteristic
539C2×C32×C4C2411yescharacteristic
540C2×C32×C4C2411yescharacteristic
541C2×C32×C4C2411yescharacteristic
542C2×C32×C4C2411yescharacteristic
543#638—24no—
544#638—42no—
545C2×C3⋊Dic3C2412yes—
546C4⋊(C3⋊D3)—24no—
547C4⋊(C3⋊D3)—24no—
548C4⋊(C3⋊D3)—22no—
549C4⋊(C3⋊D3)—22no—
550C4⋊(C3⋊D3)—42no—
551C4⋊(C3⋊D3)—42no—
552C4⋊(C3⋊D3)C2×D414yescomplemented
553C4×C3⋊D3—42no—
554C3×#67—24no—
555C3×#67—22no—
556C3×#67—22no—
557C3×#67—22no—
558C3×#67—24no—
559C3×#67—41no—
560C2×C3×Dic3—22no—
561C2×C3×Dic3—24no—
562C2×C3×Dic3C2411yescharacteristic
563C2×C3×Dic3C2411yescharacteristic
564C2×C3×Dic3C2412yes—
565C2×C3×Dic3C2412yes—
566C2×C3×Dic3C2411yescharacteristic
567C2×C3×Dic3C2411yescharacteristic
568C2×C3×Dic3C2412yes—
569C2×C3×Dic3C2411yescharacteristic
570C3×D12—22no—
571C3×D12—22no—
572C3×D12—41no—
573C3×C4×D3—22no—
574C3×C4×D3—22no—
575C3×C4×D3—22no—
576C3×C4×D3—22no—
577C3×C4×D3—24no—
578C3×C4×D3C2×D414yescomplemented
579C3×Dic6—22no—
580C3×Dic6—24no—
581C3×Dic6—22no—
582C3×Dic6C2×D414yescomplemented
583#626—24no—
584#626—24no—
585#626—24no—
586#626—24no—
587#626—24no—
588#626—24no—
589#626—42no—
590#626—42no—
591#626—42no—
592#626—42no—
593#626C2×D418yescomplemented
594#625—42no—
595#624—24no—
596#624—24no—
597#624—24no—
598#624—24no—
599#624—42no—
600#624C2×D418yescomplemented
601D3×Dic3—42no—
602C2×H(5,𝔽2)—91no—
603C22×#41—91no—
604#550—91no—
605#550—91no—
606#548—31no—
607#548—91no—
608#546—91no—
609#546—91no—
610#546—92no—
611#546—92no—
612D42—92no—
613D42—91no—
614D42—92no—
615D42—91no—
616#537—92no—
617#537—91no—
618#535—91no—
619#535—92no—
620#525—31no—
621#525—92no—
622C2×#121—92no—
623C2×#121—91no—
624#520—91no—
625C24×C3—31no—
626C23×D3—32no—
627C23×D3—32no—
628C23×D3—32no—
629C23×D3—32no—
630C23×D3—32no—
631C23×D3—32no—
632C23×D3—32no—
633C23×D3—32no—
634C23×D3—62no—
635C23×D3—62no—
636C23×D3C22×D311yescharacteristic
637C3×#41—64no—
638C3×#41—64no—
639C2×C3×Q8—31no—
640C2×C3×Q8—31no—
641C2×C3×Q8—32no—
642C2×C3×Q8—31no—
643C2×C3×Q8—64no—
644C2×C3×D4—21no—
645C2×C3×D4—32no—
646C2×C3×D4—31no—
647C2×C3×D4—32no—
648C2×C3×D4—31no—
649C2×C3×D4—31no—
650C2×C3×D4—31no—
651C2×C3×D4—31no—
652C2×C3×D4—31no—
653C2×C3×D4—31no—
654C2×C3×D4C22×D311yescharacteristic
655C2×C3×D4C22×D311yescharacteristic
656C22×C3×C4—21no—
657C22×C3×C4—21no—
658C22×C3×C4—31no—
659C22×C3×C4—32no—
660C22×C3×C4—31no—
661C22×C3×C4—31no—
662C22×C3×C4—31no—
663C22×C3×C4—32no—
664C22×C3×C4—31no—
665C22×C3×C4—31no—
666C22×C3×C4—64no—
667C22×C3×C4C22×D311yescharacteristic
668C22×C3×C4C22×D311yescharacteristic
669C22×C3×C4C22×D311yescharacteristic
670C22×C3×C4C22×D311yescharacteristic
671C2×#67—32no—
672C2×#67—32no—
673C2×#67—32no—
674C2×#67—32no—
675C2×#67—32no—
676C2×#67—32no—
677C2×#67—32no—
678C2×#67—32no—
679C2×#67—32no—
680C2×#67—32no—
681C2×#67—32no—
682C2×#67—32no—
683C2×#67—32no—
684C2×#67—32no—
685C2×#67—32no—
686C2×#67—32no—
687C2×#67—32no—
688C2×#67—62no—
689C2×#67—62no—
690C2×#67—68no—
691C2×#67—124no—
692C2×#67C22×D312yes—
693C2×#67C22×D311yescharacteristic
694C2×#67C22×D311yescharacteristic
695C2×#67C22×D311yescharacteristic
696C2×#67C22×D312yes—
697C2×#67C22×D311yescharacteristic
698C22×Dic3—32no—
699C22×Dic3C22×D311yescharacteristic
700C22×Dic3C22×D312yes—
701#239—38no—
702#239—68no—
703#239—68no—
704#239—68no—
705#239—64no—
706#239—64no—
707#239—64no—
708#239—64no—
709D3×D4—64no—
710D3×D4—68no—
711D3×D4—68no—
712D3×D4—68no—
713D3×D4—68no—
714D3×D4—68no—
715D3×D4—64no—
716D3×D4—124no—
717D3×D4—124no—
718D3×D4—124no—
719D3×D4—124no—
720D3×D4—124no—
721D3×D4—128no—
722#235—24no—
723#235—24no—
724#235—38no—
725#235—68no—
726#235—68no—
727#235—64no—
728#235—68no—
729#235—64no—
730#235—64no—
731#235—64no—
732C2×D12—32no—
733C2×D12—31no—
734C2×D12—31no—
735C2×D12—32no—
736C2×D12—32no—
737C2×D12—32no—
738C2×D12—32no—
739C2×D12—32no—
740C2×D12—32no—
741C2×D12—31no—
742C2×D12—31no—
743C2×D12—31no—
744C2×D12—31no—
745C2×D12—32no—
746C2×D12—32no—
747C2×D12—32no—
748C2×D12—32no—
749C2×D12—32no—
750C2×D12—32no—
751C2×D12—32no—
752C2×D12—32no—
753C2×D12—32no—
754C2×D12—32no—
755C2×D12—32no—
756C2×D12—32no—
757C2×D12—61no—
758C2×D12—62no—
759C2×D12—61no—
760C2×D12—61no—
761C2×D12—62no—
762C2×D12—62no—
763C2×D12—62no—
764C2×D12—68no—
765C2×D12—64no—
766C2×D12—64no—
767C2×D12—64no—
768C2×D12—64no—
769C2×D12—64no—
770C2×D12—64no—
771C2×D12—68no—
772C2×D12—124no—
773C2×D12—124no—
774C2×D12C22×D311yescharacteristic
775C2×D12C22×D311yescharacteristic
776C2×D12C22×D311yescharacteristic
777C2×C4×D3—24no—
778C2×C4×D3—32no—
779C2×C4×D3—32no—
780C2×C4×D3—32no—
781C2×C4×D3—32no—
782C2×C4×D3—32no—
783C2×C4×D3—32no—
784C2×C4×D3—32no—
785C2×C4×D3—32no—
786C2×C4×D3—32no—
787C2×C4×D3—32no—
788C2×C4×D3—32no—
789C2×C4×D3—32no—
790C2×C4×D3—32no—
791C2×C4×D3—32no—
792C2×C4×D3—32no—
793C2×C4×D3—62no—
794C2×C4×D3—68no—
795C2×C4×D3—68no—
796C2×C4×D3C22×D311yescharacteristic
797C2×C4×D3C22×D311yescharacteristic
798C2×C4×D3C22×D311yescharacteristic
799C2×C4×D3C22×D312yes—
800C2×C4×D3C22×D311yescharacteristic
801C2×C4×D3C22×D311yescharacteristic
802C2×Dic6—24no—
803C2×Dic6C22×D311yescharacteristic
804C2×Dic6C22×D311yescharacteristic
805C2×Dic6C22×D312yes—
806C2×Dic6C22×D311yescharacteristic
807C3×C4⋊C4—21no—
808C3×C4⋊C4—31no—
809C3×C4⋊C4—32no—
810C3×C4⋊C4—31no—
811C3×C4⋊C4—31no—
812C3×C4⋊C4—31no—
813C3×C4⋊C4—31no—
814C3×C4⋊C4—32no—
815C3×C4⋊C4—31no—
816C3×C4⋊C4C22×D311yescharacteristic
817C3×C4⋊C4C22×D311yescharacteristic
818C3×C22⋊C4—21no—
819C3×C22⋊C4—21no—
820C3×C22⋊C4—31no—
821C3×C22⋊C4—32no—
822C3×C22⋊C4—31no—
823C3×C22⋊C4—31no—
824C3×C22⋊C4—32no—
825C3×C22⋊C4—32no—
826C3×C22⋊C4—31no—
827C3×C22⋊C4—31no—
828C3×C22⋊C4—32no—
829C3×C22⋊C4—31no—
830C3×C22⋊C4—31no—
831C3×C22⋊C4—31no—
832C3×C22⋊C4C22×D311yescharacteristic
833C3×C22⋊C4C22×D311yescharacteristic
834C3×C22⋊C4C22×D311yescharacteristic
835C3×C22⋊C4C22×D311yescharacteristic
836C3×C42—21no—
837C3×C42—31no—
838C3×C42—32no—
839C3×C42C22×D311yescharacteristic
840C3×C42C22×D311yescharacteristic
841#217—32no—
842#217—32no—
843#217C22×D311yescharacteristic
844#217C22×D311yescharacteristic
845#217C22×D312yes—
846(C2×D3)⋊C4—32no—
847(C2×D3)⋊C4—32no—
848(C2×D3)⋊C4—32no—
849(C2×D3)⋊C4—32no—
850(C2×D3)⋊C4—32no—
851(C2×D3)⋊C4—32no—
852(C2×D3)⋊C4—32no—
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—32no—
859(C2×D3)⋊C4—32no—
860(C2×D3)⋊C4—32no—
861(C2×D3)⋊C4—32no—
862(C2×D3)⋊C4—32no—
863(C2×D3)⋊C4—32no—
864(C2×D3)⋊C4—62no—
865(C2×D3)⋊C4—62no—
866(C2×D3)⋊C4—62no—
867(C2×D3)⋊C4C22×D311yescharacteristic
868(C2×D3)⋊C4C22×D311yescharacteristic
869(C2×D3)⋊C4C22×D311yescharacteristic
870(C2×D3)⋊C4C22×D311yescharacteristic
871(C2×D3)⋊C4C22×D312yes—
872(C2×D3)⋊C4C22×D312yes—
873(C2×D3)⋊C4C22×D311yescharacteristic
874(C2×D3)⋊C4C22×D312yes—
875(C2×D3)⋊C4C22×D311yescharacteristic
876C4⋊Dic3—31no—
877C4⋊Dic3—31no—
878C4⋊Dic3—32no—
879C4⋊Dic3—32no—
880C4⋊Dic3—61no—
881C4⋊Dic3C22×D311yescharacteristic
882C4⋊Dic3C22×D311yescharacteristic
883Dic3⋊C4—32no—
884Dic3⋊C4—32no—
885Dic3⋊C4—32no—
886Dic3⋊C4—32no—
887Dic3⋊C4C22×D312yes—
888Dic3⋊C4C22×D311yescharacteristic
889Dic3⋊C4C22×D311yescharacteristic
890Dic3⋊C4C22×D311yescharacteristic
891Dic3⋊C4C22×D312yes—
892Dic3⋊C4C22×D311yescharacteristic
893C4×Dic3—32no—
894C4×Dic3—32no—
895C4×Dic3C22×D312yes—
896C4×Dic3C22×D311yescharacteristic
897C22×C32—21no—
898C22×C32—21no—
899C22×C32—21no—
900C22×C32—21no—
901C22×C32—21no—
902C22×C32H(5,𝔽2)12yescomplemented
903C22×C32C2511yescharacteristic
904C2×C3⋊D3—22no—
905C2×C3⋊D3—22no—
906C2×C3⋊D3—22no—
907C2×C3⋊D3—22no—
908C2×C3⋊D3—22no—
909C2×C3⋊D3—22no—
910C2×C3⋊D3—22no—
911C2×C3⋊D3—22no—
912C2×C3⋊D3—48no—
913C2×C3⋊D3—84no—
914C2×C3⋊D3C22×D414yes—
915C2×C3×D3—21no—
916C2×C3×D3—21no—
917C2×C3×D3—21no—
918C2×C3×D3—22no—
919C2×C3×D3—21no—
920C2×C3×D3—21no—
921C2×C3×D3—22no—
922C2×C3×D3—21no—
923C2×C3×D3—22no—
924C2×C3×D3—21no—
925C2×C3×D3—21no—
926C2×C3×D3—44no—
927C2×C3×D3C22×D412yes—
928D32—84no—
929D32—84no—
930C32×C4—21no—
931C32×C4—21no—
932C32×C4—21no—
933C32×C4—21no—
934C32×C4C22×D412yes—
935C3⋊Dic3—22no—
936C3×Dic3—21no—
937C3×Dic3—22no—
938C3×Dic3—21no—
939C3×Dic3—22no—
940C3×Dic3—21no—
941C3×Dic3—21no—
942C3×Dic3C22×D412yes—
943C3×Dic3C22×D414yes—
944H(5,𝔽2)—188no—
945C2×#41—31no—
946C2×#41—31no—
947C2×#41—91no—
948C2×#41—92no—
949C2×#41—91no—
950C2×#41—92no—
951C2×#41—92no—
952C2×#41—91no—
953C2×#41—91no—
954C2×#41—91no—
955C2×#41—188no—
956C22×Q8—31no—
957C22×D4—91no—
958C22×D4—91no—
959C22×D4—92no—
960C22×D4—92no—
961C22×D4—92no—
962C22×D4—92no—
963C22×D4—92no—
964C22×D4—92no—
965C22×D4—92no—
966C22×D4—91no—
967C22×D4—91no—
968C23×C4—31no—
969C23×C4—92no—
970#127—91no—
971#127—92no—
972#127—92no—
973#127—91no—
974#124—32no—
975#124—31no—
976#124—91no—
977#124—92no—
978#123—31no—
979#123—31no—
980#123—92no—
981#123—92no—
982C22⋊Q8—31no—
983C22⋊Q8—31no—
984C22⋊Q8—32no—
985C22⋊Q8—31no—
986C22⋊Q8—92no—
987C22⋊Q8—92no—
988C22⋊Q8—91no—
989#121—31no—
990#121—32no—
991#121—31no—
992#121—31no—
993#121—92no—
994#121—92no—
995#121—92no—
996#121—92no—
997#121—92no—
998#121—92no—
999#121—92no—
1000#121—92no—
1001#121—92no—
1002#121—92no—
1003#121—92no—
1004#121—92no—
1005#121—91no—
1006#121—91no—
1007#121—92no—
1008#121—92no—
1009#121—92no—
1010#121—91no—
1011#121—91no—
1012#121—91no—
1013#121—92no—
1014#120—31no—
1015#120—31no—
1016#120—92no—
1017#120—92no—
1018#120—92no—
1019#120—92no—
1020#120—92no—
1021#120—92no—
1022#120—92no—
1023#120—92no—
1024C4×Q8—31no—
1025C4×Q8—91no—
1026C4×D4—31no—
1027C4×D4—31no—
1028C4×D4—32no—
1029C4×D4—31no—
1030C4×D4—92no—
1031C4×D4—91no—
1032C4×D4—92no—
1033C4×D4—92no—
1034C4×D4—92no—
1035C4×D4—92no—
1036C4×D4—91no—
1037C4×D4D3211yescharacteristic, complemented
1038#117—31no—
1039#117—92no—
1040C2×C4⋊C4—92no—
1041C2×C4⋊C4—91no—
1042C2×C22⋊C4—92no—
1043C2×C22⋊C4—92no—
1044C2×C22⋊C4—92no—
1045C23×C3—21no—
1046C23×C3—21no—
1047C23×C3—31no—
1048C23×C3—31no—
1049C23×C3—32no—
1050C23×C3—31no—
1051C23×C3—62no—
1052C23×C3—62no—
1053C23×C3—121no—
1054C23×C3C23×D311yescharacteristic
1055C23×C3C23×D311yescharacteristic
1056C23×C3C23×D311yescharacteristic
1057C23×C3C23×D311yescharacteristic
1058C22×D3—22no—
1059C22×D3—22no—
1060C22×D3—32no—
1061C22×D3—32no—
1062C22×D3—32no—
1063C22×D3—32no—
1064C22×D3—32no—
1065C22×D3—32no—
1066C22×D3—41no—
1067C22×D3—62no—
1068C22×D3—62no—
1069C22×D3—62no—
1070C22×D3—64no—
1071C22×D3—64no—
1072C22×D3—64no—
1073C22×D3—64no—
1074C22×D3—64no—
1075C22×D3—64no—
1076C22×D3—64no—
1077C22×D3—64no—
1078C22×D3—64no—
1079C22×D3—64no—
1080C22×D3—124no—
1081C22×D3—124no—
1082C22×D3—124no—
1083C22×D3—122no—
1084C22×D3—122no—
1085C22×D3—122no—
1086C22×D3—122no—
1087C22×D3—122no—
1088C22×D3—122no—
1089C22×D3—122no—
1090C22×D3—122no—
1091C22×D3—122no—
1092C22×D3—122no—
1093C22×D3—122no—
1094C22×D3—122no—
1095C22×D3—122no—
1096C22×D3—122no—
1097C22×D3—124no—
1098C22×D3—242no—
1099C22×D3—242no—
1100C22×D3C23×D311yescharacteristic
1101C22×D3C23×D312yes—
1102C22×D3C23×D311yescharacteristic
1103C22×D3C23×D311yescharacteristic
1104C3×Q8—34no—
1105C3×Q8—64no—
1106C3×Q8—62no—
1107C3×Q8—62no—
1108C3×D4—24no—
1109C3×D4—22no—
1110C3×D4—22no—
1111C3×D4—62no—
1112C3×D4—62no—
1113C3×D4—64no—
1114C3×D4—62no—
1115C3×D4—62no—
1116C3×D4—64no—
1117C3×D4—62no—
1118C3×D4—121no—
1119C3×D4—121no—
1120C2×C3×C4—22no—
1121C2×C3×C4—22no—
1122C2×C3×C4—22no—
1123C2×C3×C4—22no—
1124C2×C3×C4—21no—
1125C2×C3×C4—21no—
1126C2×C3×C4—21no—
1127C2×C3×C4—21no—
1128C2×C3×C4—21no—
1129C2×C3×C4—32no—
1130C2×C3×C4—31no—
1131C2×C3×C4—34no—
1132C2×C3×C4—31no—
1133C2×C3×C4—31no—
1134C2×C3×C4—31no—
1135C2×C3×C4—32no—
1136C2×C3×C4—32no—
1137C2×C3×C4—31no—
1138C2×C3×C4—42no—
1139C2×C3×C4—42no—
1140C2×C3×C4—64no—
1141C2×C3×C4—62no—
1142C2×C3×C4—62no—
1143C2×C3×C4—62no—
1144C2×C3×C4—64no—
1145C2×C3×C4—62no—
1146C2×C3×C4—62no—
1147C2×C3×C4C23×D311yescharacteristic
1148C2×C3×C4C23×D311yescharacteristic
1149C2×C3×C4C23×D311yescharacteristic
1150C2×C3×C4C23×D311yescharacteristic
1151C2×C3×C4C23×D311yescharacteristic
1152C2×C3×C4C23×D311yescharacteristic
1153C2×C3×C4C23×D311yescharacteristic
1154C2×C3×C4C23×D311yescharacteristic
1155C2×C3×C4C23×D311yescharacteristic
1156C2×C3×C4C23×D311yescharacteristic
1157#67—22no—
1158#67—24no—
1159#67—22no—
1160#67—24no—
1161#67—22no—
1162#67—38no—
1163#67—41no—
1164#67—64no—
1165#67—64no—
1166#67—64no—
1167#67—64no—
1168#67—64no—
1169#67—64no—
1170#67—64no—
1171#67—64no—
1172#67—124no—
1173#67—122no—
1174#67—122no—
1175#67—122no—
1176#67—122no—
1177#67—122no—
1178#67—122no—
1179#67—122no—
1180#67—122no—
1181#67—124no—
1182C2×Dic3—24no—
1183C2×Dic3—22no—
1184C2×Dic3—32no—
1185C2×Dic3—32no—
1186C2×Dic3—62no—
1187C2×Dic3—122no—
1188C2×Dic3C23×D311yescharacteristic
1189C2×Dic3C23×D311yescharacteristic
1190C2×Dic3C23×D312yes—
1191C2×Dic3C23×D311yescharacteristic
1192C2×Dic3C23×D312yes—
1193C2×Dic3C23×D311yescharacteristic
1194C2×Dic3C23×D312yes—
1195C2×Dic3C23×D311yescharacteristic
1196D12—22no—
1197D12—22no—
1198D12—38no—
1199D12—34no—
1200D12—34no—
1201D12—41no—
1202D12—64no—
1203D12—64no—
1204D12—64no—
1205D12—64no—
1206D12—64no—
1207D12—64no—
1208D12—64no—
1209D12—64no—
1210D12—64no—
1211D12—64no—
1212D12—64no—
1213D12—62no—
1214D12—62no—
1215D12—62no—
1216D12—62no—
1217D12—122no—
1218D12—122no—
1219D12—124no—
1220D12—124no—
1221D12—122no—
1222D12—122no—
1223D12—122no—
1224D12—122no—
1225D12—124no—
1226D12—122no—
1227D12—122no—
1228D12—122no—
1229D12—122no—
1230D12—242no—
1231C4×D3—22no—
1232C4×D3—22no—
1233C4×D3—22no—
1234C4×D3—22no—
1235C4×D3—24no—
1236C4×D3—38no—
1237C4×D3—38no—
1238C4×D3—64no—
1239C4×D3—64no—
1240C4×D3—64no—
1241C4×D3—64no—
1242C4×D3—64no—
1243C4×D3—64no—
1244C4×D3—64no—
1245C4×D3—64no—
1246C4×D3—122no—
1247C4×D3—122no—
1248C4×D3—122no—
1249C4×D3—122no—
1250C4×D3—122no—
1251C4×D3—124no—
1252C4×D3D3×D414yescomplemented
1253Dic6—22no—
1254Dic6—24no—
1255Dic6—22no—
1256Dic6D3×D414yescomplemented
1257C2×C32—22no—
1258C2×C32—41no—
1259C2×C32C23×D411yescharacteristic
1260C2×C32C2×H(5,𝔽2)11yescharacteristic
1261C2×C32#58511yescharacteristic
1262C3⋊D3—24no—
1263C3⋊D3—42no—
1264C3⋊D3—42no—
1265C3×D3—22no—
1266C3×D3—41no—
1267C3×D3—42no—
1268C3×D3—41no—
1269C24—31no—
1270C24—92no—
1271C24—92no—
1272C24—92no—
1273C24—92no—
1274#41—64no—
1275#41—64no—
1276#41—98no—
1277#41—184no—
1278#41—188no—
1279#41—188no—
1280#41—188no—
1281#41—184no—
1282#41—184no—
1283#41—184no—
1284C2×Q8—31no—
1285C2×Q8—31no—
1286C2×Q8—32no—
1287C2×Q8—31no—
1288C2×Q8—64no—
1289C2×D4—31no—
1290C2×D4—32no—
1291C2×D4—31no—
1292C2×D4—31no—
1293C2×D4—32no—
1294C2×D4—31no—
1295C2×D4—31no—
1296C2×D4—31no—
1297C2×D4—31no—
1298C2×D4—92no—
1299C2×D4—92no—
1300C2×D4—92no—
1301C2×D4—92no—
1302C2×D4—92no—
1303C2×D4—92no—
1304C2×D4—92no—
1305C2×D4—92no—
1306C2×D4—92no—
1307C2×D4—92no—
1308C2×D4—92no—
1309C2×D4—92no—
1310C2×D4—92no—
1311C2×D4—92no—
1312C2×D4—91no—
1313C2×D4—92no—
1314C2×D4—92no—
1315C2×D4—91no—
1316C2×D4—91no—
1317C2×D4—92no—
1318C2×D4—92no—
1319C2×D4—184no—
1320C2×D4—184no—
1321C2×D4—184no—
1322C2×D4—188no—
1323C2×D4—184no—
1324C2×D4—188no—
1325C2×D4—188no—
1326C2×D4—188no—
1327C2×D4—364no—
1328C2×D4—364no—
1329C2×D4—364no—
1330C2×D4C2×D3211yescharacteristic
1331C22×C4—31no—
1332C22×C4—32no—
1333C22×C4—31no—
1334C22×C4—31no—
1335C22×C4—31no—
1336C22×C4—31no—
1337C22×C4—32no—
1338C22×C4—31no—
1339C22×C4—64no—
1340C22×C4—92no—
1341C22×C4—92no—
1342C22×C4—92no—
1343C22×C4—92no—
1344C22×C4—92no—
1345C22×C4—92no—
1346C22×C4—92no—
1347C22×C4—92no—
1348C22×C4—188no—
1349C22×C4C2×D3211yescharacteristic
1350C22×C4C2×D3211yescharacteristic
1351C4⋊C4—31no—
1352C4⋊C4—32no—
1353C4⋊C4—31no—
1354C4⋊C4—31no—
1355C4⋊C4—31no—
1356C4⋊C4—31no—
1357C4⋊C4—32no—
1358C4⋊C4—31no—
1359C4⋊C4—92no—
1360C4⋊C4—92no—
1361C4⋊C4—92no—
1362C4⋊C4—91no—
1363C4⋊C4C2×D3211yescharacteristic
1364C22⋊C4—31no—
1365C22⋊C4—32no—
1366C22⋊C4—31no—
1367C22⋊C4—31no—
1368C22⋊C4—32no—
1369C22⋊C4—32no—
1370C22⋊C4—31no—
1371C22⋊C4—31no—
1372C22⋊C4—31no—
1373C22⋊C4—31no—
1374C22⋊C4—31no—
1375C22⋊C4—32no—
1376C22⋊C4—92no—
1377C22⋊C4—92no—
1378C22⋊C4—92no—
1379C22⋊C4—92no—
1380C22⋊C4—92no—
1381C22⋊C4—92no—
1382C22⋊C4—92no—
1383C22⋊C4—92no—
1384C22⋊C4—92no—
1385C22⋊C4—92no—
1386C22⋊C4C2×D3211yescharacteristic
1387C22⋊C4C2×D3211yescharacteristic
1388C42—31no—
1389C42—32no—
1390C42—92no—
1391C42C2×D3211yescharacteristic
1392C22×C3—21no—
1393C22×C3—21no—
1394C22×C3—21no—
1395C22×C3—21no—
1396C22×C3—22no—
1397C22×C3—21no—
1398C22×C3—21no—
1399C22×C3—21no—
1400C22×C3—21no—
1401C22×C3—21no—
1402C22×C3—21no—
1403C22×C3—22no—
1404C22×C3—21no—
1405C22×C3—32no—
1406C22×C3—41no—
1407C22×C3—41no—
1408C22×C3—41no—
1409C22×C3—41no—
1410C22×C3—61no—
1411C22×C3—61no—
1412C22×C3—61no—
1413C22×C3—62no—
1414C22×C3—61no—
1415C22×C3—61no—
1416C22×C3—62no—
1417C22×C3—61no—
1418C22×C3—62no—
1419C22×C3—61no—
1420C22×C3—61no—
1421C22×C3—124no—
1422C22×C3#100912yescomplemented
1423C22×C3#100912yescomplemented
1424C22×C3C24×D311yescharacteristic
1425C22×C3C24×D311yescharacteristic
1426C2×D3—21no—
1427C2×D3—21no—
1428C2×D3—21no—
1429C2×D3—21no—
1430C2×D3—22no—
1431C2×D3—21no—
1432C2×D3—21no—
1433C2×D3—22no—
1434C2×D3—21no—
1435C2×D3—21no—
1436C2×D3—22no—
1437C2×D3—34no—
1438C2×D3—34no—
1439C2×D3—44no—
1440C2×D3—64no—
1441C2×D3—62no—
1442C2×D3—62no—
1443C2×D3—62no—
1444C2×D3—62no—
1445C2×D3—62no—
1446C2×D3—62no—
1447C2×D3—62no—
1448C2×D3—62no—
1449C2×D3—62no—
1450C2×D3—62no—
1451C2×D3—62no—
1452C2×D3—62no—
1453C2×D3—62no—
1454C2×D3—62no—
1455C2×D3—62no—
1456C2×D3—62no—
1457C2×D3—122no—
1458C2×D3—122no—
1459C2×D3—122no—
1460C2×D3—122no—
1461C2×D3—122no—
1462C2×D3—122no—
1463C2×D3—122no—
1464C2×D3—122no—
1465C2×D3—128no—
1466C2×D3—128no—
1467C2×D3—248no—
1468C2×D3—244no—
1469C2×D3—244no—
1470C2×D3—244no—
1471C2×D3—244no—
1472C2×D3—244no—
1473C2×D3—244no—
1474C2×D3—248no—
1475C2×D3C2×D3×D412yes—
1476C3×C4—22no—
1477C3×C4—21no—
1478C3×C4—21no—
1479C3×C4—21no—
1480C3×C4—21no—
1481C3×C4—21no—
1482C3×C4—21no—
1483C3×C4—21no—
1484C3×C4—21no—
1485C3×C4—22no—
1486C3×C4—32no—
1487C3×C4—34no—
1488C3×C4—41no—
1489C3×C4—41no—
1490C3×C4—41no—
1491C3×C4—61no—
1492C3×C4—61no—
1493C3×C4—62no—
1494C3×C4—62no—
1495C3×C4—61no—
1496C3×C4—61no—
1497C3×C4C2×D3×D412yes—
1498C3×C4C2×D3×D412yes—
1499Dic3—22no—
1500Dic3—21no—
1501Dic3—21no—
1502Dic3—21no—
1503Dic3—22no—
1504Dic3—21no—
1505Dic3—62no—
1506Dic3—62no—
1507Dic3—122no—
1508Dic3C2×D3×D414yes—
1509Dic3C2×D3×D412yes—
1510C32#348811yescharacteristic, complemented, Sylow
1511C23—31no—
1512C23—32no—
1513C23—31no—
1514C23—31no—
1515C23—62no—
1516C23—62no—
1517C23—92no—
1518C23—92no—
1519C23—92no—
1520C23—121no—
1521C23—184no—
1522C23—184no—
1523C23—184no—
1524C23—184no—
1525C23—184no—
1526C23—362no—
1527C23—362no—
1528C23—362no—
1529C23—362no—
1530C23—362no—
1531C23—362no—
1532C23—362no—
1533C23C22×D3211yescharacteristic
1534C23C22×D3211yescharacteristic
1535Q8—34no—
1536Q8—64no—
1537Q8—62no—
1538Q8—62no—
1539D4—22no—
1540D4—62no—
1541D4—62no—
1542D4—64no—
1543D4—62no—
1544D4—62no—
1545D4—64no—
1546D4—62no—
1547D4—98no—
1548D4—94no—
1549D4—121no—
1550D4—121no—
1551D4—184no—
1552D4—184no—
1553D4—184no—
1554D4—184no—
1555D4—184no—
1556D4—184no—
1557D4—184no—
1558D4—184no—
1559D4—184no—
1560D4—182no—
1561D4—182no—
1562D4—362no—
1563D4—362no—
1564D4—362no—
1565D4—362no—
1566D4—362no—
1567D4—362no—
1568D4—362no—
1569D4—362no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—32no—
1573C2×C4—31no—
1574C2×C4—34no—
1575C2×C4—31no—
1576C2×C4—31no—
1577C2×C4—32no—
1578C2×C4—32no—
1579C2×C4—31no—
1580C2×C4—31no—
1581C2×C4—62no—
1582C2×C4—64no—
1583C2×C4—62no—
1584C2×C4—62no—
1585C2×C4—64no—
1586C2×C4—62no—
1587C2×C4—62no—
1588C2×C4—98no—
1589C2×C4—92no—
1590C2×C4—184no—
1591C2×C4—184no—
1592C2×C4—184no—
1593C2×C4—184no—
1594C2×C4—362no—
1595C2×C4—362no—
1596C2×C4—362no—
1597C2×C4C22×D3211yescharacteristic
1598C2×C4C22×D3211yescharacteristic
1599C2×C4C22×D3211yescharacteristic
1600C2×C4C22×D3211yescharacteristic
1601C2×C4C22×D3211yescharacteristic
1602C2×C3—22no—
1603C2×C3—22no—
1604C2×C3—21no—
1605C2×C3—21no—
1606C2×C3—21no—
1607C2×C3—42no—
1608C2×C3—42no—
1609C2×C3—41no—
1610C2×C3—41no—
1611C2×C3—62no—
1612C2×C3—122no—
1613C2×C3—121no—
1614C2×C3—121no—
1615C2×C3C22×D3×D411yescharacteristic
1616C2×C3C22×D3×D411yescharacteristic
1617C2×C3C2×#100911yescharacteristic
1618C2×C3C2×#100911yescharacteristic
1619C2×C3#596411yescharacteristic
1620C2×C3#596811yescharacteristic
1621D3—22no—
1622D3—41no—
1623D3—41no—
1624D3—42no—
1625D3—64no—
1626D3—64no—
1627D3—124no—
1628D3—122no—
1629D3—122no—
1630D3—122no—
1631D3—122no—
1632D3—242no—
1633D3—242no—
1634C22—21no—
1635C22—21no—
1636C22—21no—
1637C22—21no—
1638C22—21no—
1639C22—32no—
1640C22—61no—
1641C22—61no—
1642C22—61no—
1643C22—62no—
1644C22—61no—
1645C22—61no—
1646C22—62no—
1647C22—61no—
1648C22—61no—
1649C22—61no—
1650C22—62no—
1651C22—94no—
1652C22—124no—
1653C22—182no—
1654C22—182no—
1655C22—182no—
1656C22—182no—
1657C22—182no—
1658C22—182no—
1659C22—182no—
1660C22—182no—
1661C22—368no—
1662C22—724no—
1663C22—724no—
1664C22—724no—
1665C22#6430812yescomplemented
1666C22C23×D3211yescharacteristic
1667C4—21no—
1668C4—21no—
1669C4—21no—
1670C4—21no—
1671C4—32no—
1672C4—34no—
1673C4—61no—
1674C4—62no—
1675C4—61no—
1676C4—61no—
1677C4—62no—
1678C4—61no—
1679C4—182no—
1680C4D32×D412yes—
1681C3—21no—
1682C3#8604111yescharacteristic, complemented
1683C3#8671311yescharacteristic, complemented
1684C2—22no—
1685C2—41no—
1686C2—62no—
1687C2—121no—
1688C2—121no—
1689C2—122no—
1690C2—184no—
1691C2—362no—
1692C2—362no—
1693C2C2×#6430811yescharacteristic
1694C2C2×D32×D411yescharacteristic
1695C2#1059669711yescharacteristic
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×#64308C2semidirect
2. C22×#3799C2semidirect
3. D4×C4⋊(C3⋊D3)C2semidirect
4. C3×#5552C2semidirect
5. C3×#5547C2semidirect
6. #10595298C2semidirect
7. #10595292C2semidirect
8. #10595074C2semidirect
9. D3×#930C2semidirect
10. #10595018C2semidirect
11. #10595007C2semidirect
12. #10594902C2semidirect
13. #10594894C2semidirect
14. #10594620C2semidirect
15. #10594519C2semidirect
16. #10594287C2semidirect
17. #10594282C2semidirect
18. #10594277C2semidirect
19. #10594066C2semidirect
20. #10594007C2semidirect
21. #10594001C2semidirect
22. #10593902C2semidirect
23. #10593890C2semidirect
26. C2×D4×C3⋊D3C22semidirect
27. C22×C4⋊(C3⋊D3)C22semidirect
28. C22×C4⋊(C3⋊D3)C22semidirect
29. C2×C3×#235C22semidirect
30. C2×C3×#235C22semidirect
31. C22×C3×C4×D3C22semidirect
32. C22×C3×Dic6C22semidirect
33. C2×#3811C22semidirect
34. C2×#3811C22semidirect
35. C2×#3811C22semidirect
36. C2×D3×#67C22semidirect
37. C22×#626C22semidirect
38. C22×#624C22semidirect
40. C2×D3×D12C22semidirect
41. C2×D3×D12C22semidirect
42. C2×D3×D12C22semidirect
45. C2×#3799C22semidirect
46. C2×#3799C22semidirect
47. C2×#3799C22semidirect
48. C2×#3799C22semidirect
49. C2×#3799C22semidirect
50. C2×#3799C22semidirect
51. C2×#3799C22semidirect
52. C32×C4×D4C22semidirect
53. #64139C22semidirect
54. #64139C22semidirect
55. #64104C22semidirect
56. #64091C22semidirect
57. #64091C22semidirect
58. #64083C22semidirect
59. C4×C4⋊(C3⋊D3)C22semidirect
60. C3×#939C22semidirect
61. C3×#939C22semidirect
62. C3×#937C22semidirect
63. C3×#930C22semidirect
64. C3×C4×#67C22semidirect
65. C3×C4×#67C22semidirect
66. C3×#924C22semidirect
67. C3×#896C22semidirect
68. C3×#896C22semidirect
69. C3×#894C22semidirect
70. C3×#885C22semidirect
71. C3×#884C22semidirect
72. C3×#883C22semidirect
73. C3×#882C22semidirect
74. C3×#67⋊C4C22semidirect
75. C3×#878C22semidirect
76. C3×#875C22semidirect
77. C3×C4×D12C22semidirect
78. C3×#872C22semidirect
79. C3×C4×Dic6C22semidirect
80. #63981C22semidirect
81. #63981C22semidirect
82. #63979C22semidirect
83. #63978C22semidirect
84. #63978C22semidirect
85. #63974C22semidirect
86. #63971C22semidirect
87. #63958C22semidirect
88. #63958C22semidirect
89. #63952C22semidirect
90. #63923C22semidirect
91. #63923C22semidirect
92. #63923C22semidirect
93. #63922C22semidirect
94. #63921C22semidirect
95. D3×(C2×D3)⋊C4C22semidirect
96. #63912C22semidirect
97. #63911C22semidirect
98. #63911C22semidirect
99. #63910C22semidirect
100. #63910C22semidirect
101. #63910C22semidirect
102. #63910C22semidirect
103. #63910C22semidirect
104. #63910C22semidirect
105. #63909C22semidirect
106. #63909C22semidirect
107. #63908C22semidirect
108. #63907C22semidirect
109. #63906C22semidirect
110. #63906C22semidirect
111. #63904C22semidirect
112. #63897C22semidirect
113. #63894C22semidirect
114. #63894C22semidirect
115. D3×C4⋊Dic3C22semidirect
116. #63888C22semidirect
117. #63888C22semidirect
118. #63886C22semidirect
119. #63883C22semidirect
120. #63881C22semidirect
121. #63880C22semidirect
122. #63864C22semidirect
123. #63856C22semidirect
124. #63854C22semidirect
125. Dic3×Dic6C22semidirect
126. #63836C22semidirect
162. #5552D3semidirect
171. #5547D3semidirect
255. #3799D4semidirect
337. C2×#235C2×D3semidirect
338. C2×#235C2×D3semidirect
351. C22×C4×D3C2×D3semidirect
352. C22×Dic6C2×D3semidirect
373. C3×C4×D4C2×D3semidirect
374. C3×C4×D4C2×D3semidirect
390. #939C2×D3semidirect
391. #939C2×D3semidirect
398. #937C2×D3semidirect
412. #930C2×D3semidirect
415. C4×#67C2×D3semidirect
416. C4×#67C2×D3semidirect
420. #924C2×D3semidirect
423. #896C2×D3semidirect
424. #896C2×D3semidirect
440. #894C2×D3semidirect
450. #885C2×D3semidirect
464. #884C2×D3semidirect
466. #883C2×D3semidirect
482. #882C2×D3semidirect
486. #67⋊C4C2×D3semidirect
492. #878C2×D3semidirect
494. #875C2×D3semidirect
506. C4×D12C2×D3semidirect
508. #872C2×D3semidirect
510. C4×Dic6C2×D3semidirect
552. C4⋊(C3⋊D3)C2×D4semidirect
578. C3×C4×D3C2×D4semidirect
582. C3×Dic6C2×D4semidirect
593. #626C2×D4semidirect
600. #624C2×D4semidirect
902. C22×C32H(5,𝔽2)semidirect
1037. C4×D4D32semidirect
1252. C4×D3D3×D4semidirect
1256. Dic6D3×D4semidirect
1422. C22×C3#1009semidirect
1423. C22×C3#1009semidirect
1510. C32#3488semidirect
1665. C22#64308semidirect
1682. C3#86041semidirect
1683. C3#86713semidirect

Maximal subgroups

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

subgroupindex
C2×#643082
C22×#37992
D4×C4⋊(C3⋊D3)2
C3×#55522
C3×#55472
#105952982
#105952922
#105950742
D3×#9302
#105950182
#105950072
#105949022
#105948942
#105946202
#105945192
#105942872
#105942822
#105942772
#105940662
#105940072
#105940012
#105939022
#105938902
#867133
#860413