Finite Group Databasebeta

← #11904301

Subgroups — #11904301

Order 1152.

4014 conjugacy classes of subgroups.

The subgroup lattice has 1777 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#64314C211yesmaximal, characteristic, complemented
2C22×D3×D12C211yesmaximal, characteristic, complemented
3#10596080C211yesmaximal, characteristic, complemented
4C3×#5609C211yesmaximal, characteristic, complemented
5C3×#5606C211yesmaximal, characteristic, complemented
6#10595303C211yesmaximal, characteristic, complemented
7#10595297C211yesmaximal, characteristic, complemented
8#10595288C211yesmaximal, characteristic, complemented
9#10595278C212yesmaximal, complemented
10D3×#937C212yesmaximal, complemented
11D4×#626C212yesmaximal, complemented
12#10595135C212yesmaximal, complemented
13#10595018C211yesmaximal, characteristic, complemented
14#10595002C211yesmaximal, characteristic, complemented
15#10594889C211yesmaximal, characteristic, complemented
16#10594633C211yesmaximal, characteristic, complemented
17#10594629C211yesmaximal, characteristic, complemented
18#10594628C211yesmaximal, characteristic, complemented
19#10594604C211yesmaximal, characteristic, complemented
20#10594283C212yesmaximal, complemented
21#10594277C212yesmaximal, complemented
22#10594264C212yesmaximal, complemented
23#10594262C212yesmaximal, complemented
24#86620—31nomaximal
25#86039—31nomaximal
26C23×D32C2212yescomplemented
27C2×D4×C3⋊D3C2212yescomplemented
28C2×D4×C3⋊D3C2211yescharacteristic, complemented
29C22×C4⋊(C3⋊D3)C2211yescharacteristic, complemented
30C2×C3×#237C2211yescharacteristic, complemented
31C2×C3×D3×D4C2212yescomplemented
32C2×C3×D3×D4C2211yescharacteristic, complemented
33C22×C3×D12C2211yescharacteristic, complemented
34C22×C3×C4×D3C2211yescharacteristic, complemented
35C2×#3811C2212yescomplemented
36C2×#3811C2212yescomplemented
37C2×D3×#67C2212yescomplemented
38C2×D3×#67C2212yescomplemented
39C22×#626C2212yescomplemented
40C22×#626C2212yescomplemented
41C2×#3804C2212yescomplemented
42#64314—28no—
43C2×D3×D12—28no—
44C2×D3×D12C2211yescharacteristic
45C2×D3×D12C2211yescharacteristic, complemented
46C2×D3×D12C2211yescharacteristic, complemented
47C2×D3×D12C2211yescharacteristic, complemented
48C2×D3×D12C2212yescomplemented
49C2×D3×D12C2212yescomplemented
50C2×#3799C2211yescharacteristic, complemented
51C2×#3798C2211yescharacteristic, complemented
52C2×#3796C2211yescharacteristic, complemented
53C32×#121C2211yescharacteristic, complemented
54#64149C2211yescharacteristic, complemented
55#64146C2212yescomplemented
56C4×#638C2211yescharacteristic, complemented
57#64104C2211yescharacteristic, complemented
58#64102C2211yescharacteristic, complemented
59#64093C2212yescomplemented
60#64091C2212yescomplemented
61C3×#940C2211yescharacteristic, complemented
62C3×#938C2211yescharacteristic, complemented
63C3×#937C2212yescomplemented
64C3×#937C2212yescomplemented
65C3×D4×Dic3C2212yescomplemented
66C3×C4×#67C2211yescharacteristic, complemented
67C3×#924C2211yescharacteristic, complemented
68C3×#897C2211yescharacteristic, complemented
69C3×#895C2211yescharacteristic, complemented
70C3×#893C2211yescharacteristic, complemented
71C3×#892C2211yescharacteristic, complemented
72C3×#884C2212yescomplemented
73C3×#883C2212yescomplemented
74C3×#882C2212yescomplemented
75C3×#67⋊C4C2212yescomplemented
76#63983C2212yescomplemented
77#63983C2212yescomplemented
78#63983C2212yescomplemented
79#63983C2212yescomplemented
80#63981C2212yescomplemented
81#63981C2212yescomplemented
82#63978C2212yescomplemented
83#63978C2212yescomplemented
84#63978C2211yescharacteristic, complemented
85#63977C2211yescharacteristic, complemented
86#63977C2212yescomplemented
87#63977C2212yescomplemented
88#63976C2211yescharacteristic, complemented
89#63974C2212yescomplemented
90#63971C2212yescomplemented
91D3×#217C2212yescomplemented
92#63964C2211yescharacteristic, complemented
93#63958C2212yescomplemented
94#63923C2212yescomplemented
95#63923C2212yescomplemented
96#63922C2212yescomplemented
97#63922C2212yescomplemented
98#63921C2212yescomplemented
99#63921C2212yescomplemented
100D3×(C2×D3)⋊C4C2212yescomplemented
101D3×(C2×D3)⋊C4C2212yescomplemented
102#63916C2212yescomplemented
103#63916C2211yescharacteristic, complemented
104#63911C2212yescomplemented
105#63910C2212yescomplemented
106#63909C2212yescomplemented
107#63909C2211yescharacteristic, complemented
108#63906C2211yescharacteristic, complemented
109#63905C2211yescharacteristic, complemented
110C4×#626C2211yescharacteristic, complemented
111C4×#626C2212yescomplemented
112C4×#625C2211yescharacteristic, complemented
113#63898C2211yescharacteristic, complemented
114#63897C2212yescomplemented
115#63894C2211yescharacteristic, complemented
116#63890C2212yescomplemented
117#63886C2212yescomplemented
118#63884C2212yescomplemented
119#63880C2212yescomplemented
120#63864C2211yescharacteristic, complemented
121#63863C2211yescharacteristic, complemented
122#63855C2211yescharacteristic, complemented
123#63854C2212yescomplemented
124#63852C2212yescomplemented
125#63851C2211yescharacteristic, complemented
126#63850C2211yescharacteristic, complemented
127C2×#1009—31no—
128C2×#1004—31no—
129C22×D3×D4—31no—
130C23×D12—31no—
131C3×D42—31no—
132C3×#525—31no—
133#5830—31no—
134#5806—31no—
135D4×#67—31no—
136D4×#67—32no—
137C2×#937—32no—
138#5791—31no—
139#5717—31no—
140#5715—31no—
141#5653—32no—
142#5653—32no—
143#5630—31no—
144#5630—31no—
145#5630—31no—
146#5630—31no—
147#5612—31no—
148#5610—32no—
149#5609—31no—
150#5609—31no—
151#5609—31no—
152#5609—31no—
153#5609—61no—
154#5609D311yescharacteristic, complemented
155#5607—31no—
156#5606D311yescharacteristic, complemented
157#5605—32no—
158#5591—32no—
159#5590—32no—
160#5589—32no—
161D3×#120—32no—
162D3×#120—32no—
163D3×#120—32no—
164#5554—31no—
165#5550—32no—
166#5550—31no—
167#5550—32no—
168D4×D12—32no—
169D4×D12—32no—
170#5547—31no—
171#5545—31no—
172#5525—31no—
173#5521—31no—
174C23×C3⋊D3C2312yes—
175C23×C3⋊D3C2312yescomplemented
176C23×C3×D3C2311yescharacteristic
177C23×C3×D3C2312yes—
178C23×C3×D3C2312yescomplemented
179C22×D32—28no—
180C22×D32—44no—
181C22×D32—44no—
182C22×D32C2312yes—
183C22×D32C2312yes—
184C22×D32C2312yes—
185C22×D32C2312yes—
186C2×C32×D4C2312yes—
187C2×C32×D4C2311yescharacteristic, complemented
188C22×C32×C4C2311yescharacteristic
189C2×#638C2311yescharacteristic
190C2×#638C2312yescomplemented
191C2×#638C2312yescomplemented
192C2×#638C2312yescomplemented
193D4×C3⋊D3—24no—
194D4×C3⋊D3—44no—
195C2×C4⋊(C3⋊D3)—24no—
196C2×C4⋊(C3⋊D3)C2312yes—
197C2×C4⋊(C3⋊D3)C2311yescharacteristic
198C2×C4⋊(C3⋊D3)C2311yescharacteristic
199C2×C4⋊(C3⋊D3)C2312yescomplemented
200C2×C4×C3⋊D3C2311yescharacteristic, complemented
201C2×C4×C3⋊D3C2312yescomplemented
202C2×C3×#67C2312yes—
203C2×C3×#67C2312yes—
204C2×C3×#67C2311yescharacteristic
205C2×C3×#67C2312yescomplemented
206C2×C3×#67C2312yescomplemented
207C2×C3×#67C2312yescomplemented
208C22×C3×Dic3C2311yescharacteristic
209C22×C3×Dic3C2312yescomplemented
210C3×#237—24no—
211C3×D3×D4—24no—
212C3×D3×D4—44no—
213C2×C3×D12—24no—
214C2×C3×D12C2312yes—
215C2×C3×D12C2311yescharacteristic
216C2×C3×D12C2311yescharacteristic
217C2×C3×D12C2312yescomplemented
218C2×C3×C4×D3—24no—
219C2×C3×C4×D3C2311yescharacteristic
220C2×C3×C4×D3C2311yescharacteristic
221C2×C3×C4×D3C2311yescharacteristic
222C2×C3×C4×D3C2311yescharacteristic
223C2×C3×C4×D3C2311yescharacteristic, complemented
224C2×C3×C4×D3C2312yescomplemented
225C2×C3×Dic6C2311yescharacteristic, complemented
226#3811—28no—
227#3811—44no—
228D3×#67—28no—
229D3×#67—44no—
230C2×#627C2311yescharacteristic, complemented
231C2×#626—28no—
232C2×#626—28no—
233C2×#626C2311yescharacteristic
234C2×#626C2312yes—
235C2×#626C2312yes—
236C2×#626C2312yes—
237C2×#626C2311yescharacteristic
238C2×#626C2312yes—
239C2×#626C2312yescomplemented
240C2×#626C2311yescharacteristic, complemented
241C2×#626C2312yescomplemented
242C2×#626C2312yescomplemented
243C2×#626C2312yescomplemented
244C2×#625C2311yescharacteristic
245C2×#625C2311yescharacteristic
246C2×#624C2312yescomplemented
247C2×#624C2312yescomplemented
248#3804—28no—
249C2×D3×Dic3C2312yescomplemented
250C2×D3×Dic3C2312yescomplemented
251D3×D12—28no—
252D3×D12—24no—
253D3×D12—24no—
254D3×D12—24no—
255D3×D12—28no—
256D3×D12D418yescomplemented
257#3799—24no—
258#3798—24no—
259#3796—24no—
260C32×C4⋊C4C2311yescharacteristic, complemented
261C32×C22⋊C4C2312yescomplemented
262#3757C2311yescharacteristic
263#3752C2311yescharacteristic, complemented
264#3752C2312yescomplemented
265#3752C2312yescomplemented
266#3750C2311yescharacteristic, complemented
267C4×C3⋊Dic3C2311yescharacteristic, complemented
268C3×#217C2312yes—
269C3×#217C2311yescharacteristic
270C3×#217C2312yescomplemented
271C3×(C2×D3)⋊C4C2312yes—
272C3×(C2×D3)⋊C4C2312yes—
273C3×(C2×D3)⋊C4C2311yescharacteristic, complemented
274C3×(C2×D3)⋊C4C2312yescomplemented
275C3×(C2×D3)⋊C4C2312yescomplemented
276C3×C4⋊Dic3C2312yescomplemented
277C3×C4⋊Dic3C2311yescharacteristic, complemented
278C3×Dic3⋊C4C2312yescomplemented
279C3×Dic3⋊C4C2311yescharacteristic, complemented
280C3×C4×Dic3C2312yescomplemented
281C3×C4×Dic3C2311yescharacteristic, complemented
282#3724C2311yescharacteristic, complemented
283Dic3⋊Dic3C2311yescharacteristic, complemented
284Dic3⋊Dic3C2311yescharacteristic, complemented
285Dic3⋊Dic3C2311yescharacteristic, complemented
286#3722C2311yescharacteristic, complemented
287#3722C2312yescomplemented
288#3722C2312yescomplemented
289#3722C2312yescomplemented
290#3722C2312yescomplemented
291(C2×D3)⋊Dic3C2311yescharacteristic
292(C2×D3)⋊Dic3C2311yescharacteristic
293(C2×D3)⋊Dic3C2311yescharacteristic
294(C2×D3)⋊Dic3C2311yescharacteristic
295(C2×D3)⋊Dic3C2312yescomplemented
296(C2×D3)⋊Dic3C2312yescomplemented
297(C2×D3)⋊Dic3C2312yescomplemented
298(C2×D3)⋊Dic3C2312yescomplemented
299(C2×D3)⋊Dic3C2311yescharacteristic, complemented
300#3484—91noSylow
301C24×D3—32no—
302C24×D3—32no—
303C2×C3×#41—31no—
304C22×C3×D4—31no—
305C22×C3×D4—32no—
306C22×C3×D4—31no—
307C23×C3×C4—31no—
308C22×#67—32no—
309C22×#67—32no—
310C22×#67—32no—
311C22×#67—32no—
312#1009—68no—
313C2×#239—31no—
314C2×#239—31no—
315#1004—68no—
316C2×#237—32no—
317C2×#237—31no—
318C2×#237C2×D311yescharacteristic, complemented
319C2×D3×D4—32no—
320C2×D3×D4—31no—
321C2×D3×D4—31no—
322C2×D3×D4—32no—
323C2×D3×D4—32no—
324C2×D3×D4—32no—
325C2×D3×D4—32no—
326C2×D3×D4—32no—
327C2×D3×D4—32no—
328C2×D3×D4—32no—
329C2×D3×D4—31no—
330C2×D3×D4—31no—
331C2×D3×D4—31no—
332C2×D3×D4—31no—
333C2×D3×D4—32no—
334C2×D3×D4—32no—
335C2×D3×D4—61no—
336C2×D3×D4—62no—
337C2×D3×D4—68no—
338C2×D3×D4C2×D311yescharacteristic, complemented
339C2×D3×D4C2×D312yescomplemented
340C2×#235—32no—
341C2×#235—31no—
342C2×#235—31no—
343C2×#235—31no—
344C22×D12—31no—
345C22×D12—32no—
346C22×D12—32no—
347C22×D12—31no—
348C22×D12—31no—
349C22×D12—32no—
350C22×D12—31no—
351C22×D12—32no—
352C22×D12—31no—
353C22×D12—31no—
354C22×D12—61no—
355C22×D12—68no—
356C22×D12C2×D311yescharacteristic, complemented
357C22×C4×D3C2×D311yescharacteristic, complemented
358C3×#127—31no—
359C3×#123—32no—
360C3×C22⋊Q8—31no—
361C3×C22⋊Q8—31no—
362C3×#121—21no—
363C3×#121—31no—
364C3×#121—31no—
365C3×#121—32no—
366C3×#121C2×D311yescharacteristic, complemented
367C3×#121C2×D311yescharacteristic, complemented
368C3×#120—32no—
369C3×#120—32no—
370C3×#120—32no—
371C3×C4×D4—32no—
372C3×C4×D4—31no—
373C3×C4×D4—31no—
374C3×C4×D4—32no—
375C3×#117—31no—
376#953—31no—
377#953—31no—
378#953—32no—
379#953—32no—
380C2×#217—32no—
381#947—31no—
382#947—31no—
383#940—31no—
384#940—31no—
385#940—32no—
386#940—61no—
387#940C2×D311yescharacteristic, complemented
388#939—31no—
389#939—32no—
390#939—32no—
391#939—32no—
392#939—32no—
393#938—32no—
394#938—31no—
395#938—32no—
396#938C2×D311yescharacteristic, complemented
397#937—31no—
398#937—32no—
399#937—32no—
400#937—32no—
401#937—32no—
402#937—32no—
403#937—32no—
404#937—32no—
405#937—32no—
406#937—32no—
407#937—32no—
408#937—32no—
409#937—32no—
410#937—32no—
411#937—32no—
412#937—62no—
413#937C2×D312yescomplemented
414#937C2×D312yescomplemented
415#936—31no—
416#935—32no—
417D4×Dic3—31no—
418D4×Dic3C2×D312yescomplemented
419#930—31no—
420#930—32no—
421#930—32no—
422#930—31no—
423#930—31no—
424#930—32no—
425#929—31no—
426#929—31no—
427C4×#67—31no—
428C4×#67—31no—
429C4×#67—31no—
430C4×#67—31no—
431C4×#67—31no—
432C4×#67—32no—
433C4×#67—61no—
434C4×#67C2×D311yescharacteristic, complemented
435C2×(C2×D3)⋊C4—32no—
436C2×(C2×D3)⋊C4—32no—
437#926—31no—
438#924—31no—
439#924—31no—
440#924C2×D311yescharacteristic, complemented
441#897C2×D311yescharacteristic, complemented
442#896—31no—
443#895—32no—
444#895—31no—
445#895—32no—
446#895—32no—
447#895—31no—
448#895—31no—
449#895—31no—
450#895—32no—
451#895—61no—
452#895C2×D311yescharacteristic, complemented
453#894—32no—
454#894—31no—
455#894—32no—
456#894—32no—
457#894—32no—
458#894—32no—
459#893—31no—
460#893—31no—
461#893—31no—
462#893—31no—
463#893—61no—
464#893C2×D311yescharacteristic, complemented
465#892C2×D311yescharacteristic, complemented
466#886—32no—
467#885—32no—
468#884—32no—
469#884—32no—
470#884—31no—
471#884—32no—
472#884—32no—
473#884—32no—
474#884—62no—
475#884C2×D312yescomplemented
476#883—31no—
477#883—32no—
478#883C2×D312yescomplemented
479#882—31no—
480#882—32no—
481#882—32no—
482#882—32no—
483#882—32no—
484#882—32no—
485#882—32no—
486#882—32no—
487#882—32no—
488#882—32no—
489#882—32no—
490#882—32no—
491#882—32no—
492#882—62no—
493#882C2×D312yescomplemented
494#67⋊C4—32no—
495#67⋊C4C2×D312yescomplemented
496D3×C22⋊C4—32no—
497D3×C22⋊C4—32no—
498D3×C22⋊C4—32no—
499D3×C22⋊C4—32no—
500D3×C22⋊C4—32no—
501D3×C22⋊C4—32no—
502D3×C22⋊C4—32no—
503D3×C22⋊C4—32no—
504D3×C22⋊C4—32no—
505#878—31no—
506#875—31no—
507#875—32no—
508#874—32no—
509C4×D12—31no—
510C4×D12—32no—
511C4×D12—32no—
512C4×D12—31no—
513#872—31no—
514C23×C32C2412yes—
515C23×C32C2411yescharacteristic
516C22×C3⋊D3—24no—
517C22×C3⋊D3—24no—
518C22×C3⋊D3—24no—
519C22×C3⋊D3—42no—
520C22×C3⋊D3—42no—
521C22×C3⋊D3—42no—
522C22×C3⋊D3C2412yes—
523C22×C3⋊D3C2411yescharacteristic
524C22×C3⋊D3C2412yes—
525C22×C3×D3—22no—
526C22×C3×D3—22no—
527C22×C3×D3—22no—
528C22×C3×D3—24no—
529C22×C3×D3—24no—
530C22×C3×D3—24no—
531C22×C3×D3—42no—
532C22×C3×D3—42no—
533C22×C3×D3—42no—
534C22×C3×D3C2412yes—
535C22×C3×D3C2411yescharacteristic
536C22×C3×D3C2411yescharacteristic
537C22×C3×D3C2412yes—
538C22×C3×D3C2411yescharacteristic
539C2×D32—24no—
540C2×D32—24no—
541C2×D32—24no—
542C2×D32—24no—
543C2×D32—24no—
544C2×D32—42no—
545C2×D32—42no—
546C2×D32—42no—
547C2×D32—42no—
548C2×D32—42no—
549C2×D32—42no—
550C2×D32—432no—
551C2×D32C2×D418yescomplemented
552C32×D4—24no—
553C32×D4—22no—
554C2×C32×C4—22no—
555C2×C32×C4C2412yes—
556C2×C32×C4C2411yescharacteristic
557C2×C32×C4C2411yescharacteristic
558#638—22no—
559#638—24no—
560#638—42no—
561#638—42no—
562C2×C3⋊Dic3C2411yescharacteristic
563C2×C3⋊Dic3C2411yescharacteristic
564C2×C3⋊Dic3C2411yescharacteristic
565C4⋊(C3⋊D3)—24no—
566C4⋊(C3⋊D3)—22no—
567C4⋊(C3⋊D3)—42no—
568C4⋊(C3⋊D3)C2×D414yescomplemented
569C4×C3⋊D3—22no—
570C4×C3⋊D3—42no—
571C3×#67—22no—
572C3×#67—24no—
573C3×#67—24no—
574C3×#67—24no—
575C3×#67—42no—
576C3×#67—42no—
577C2×C3×Dic3—24no—
578C2×C3×Dic3—22no—
579C2×C3×Dic3C2411yescharacteristic
580C2×C3×Dic3C2411yescharacteristic
581C2×C3×Dic3C2411yescharacteristic
582C2×C3×Dic3C2412yes—
583C2×C3×Dic3C2412yes—
584C2×C3×Dic3C2411yescharacteristic
585C2×C3×Dic3C2411yescharacteristic
586C3×D12—24no—
587C3×D12—22no—
588C3×D12—42no—
589C3×D12C2×D414yescomplemented
590C3×C4×D3—22no—
591C3×C4×D3—22no—
592C3×C4×D3—22no—
593C3×C4×D3—22no—
594C3×C4×D3—42no—
595C3×C4×D3C2×D414yescomplemented
596C3×Dic6—22no—
597#627—22no—
598#626—24no—
599#626—24no—
600#626—24no—
601#626—22no—
602#626—24no—
603#626—22no—
604#626—22no—
605#626—24no—
606#626—42no—
607#626—42no—
608#626C2×D418yescomplemented
609#625—22no—
610#625—22no—
611#624—24no—
612#624—42no—
613D3×Dic3—24no—
614D3×Dic3—42no—
615C2×H(5,𝔽2)—91no—
616C23×D4—91no—
617#546—92no—
618#546—92no—
619#546—91no—
620#546—91no—
621#546—91no—
622#546—91no—
623D42—31no—
624D42—92no—
625D42—92no—
626D42—91no—
627D42—91no—
628D42—91no—
629#535—91no—
630#535—91no—
631#534—92no—
632#534—92no—
633#525—31no—
634#525—91no—
635C2×#120—92no—
636C2×#120—92no—
637#518—91no—
638C24×C3—31no—
639C24×C3—32no—
640C24×C3—32no—
641C23×D3—32no—
642C23×D3—32no—
643C23×D3—32no—
644C23×D3—32no—
645C23×D3—32no—
646C23×D3—32no—
647C23×D3—32no—
648C23×D3—32no—
649C23×D3—32no—
650C23×D3—32no—
651C23×D3—32no—
652C23×D3—32no—
653C23×D3—62no—
654C23×D3—62no—
655C23×D3—68no—
656C23×D3—68no—
657C23×D3—124no—
658C23×D3—124no—
659C23×D3—124no—
660C23×D3—124no—
661C23×D3C22×D311yescharacteristic
662C23×D3C22×D312yes—
663C23×D3C22×D312yescomplemented
664C3×#41—64no—
665C2×C3×Q8—31no—
666C2×C3×D4—22no—
667C2×C3×D4—21no—
668C2×C3×D4—31no—
669C2×C3×D4—32no—
670C2×C3×D4—32no—
671C2×C3×D4—32no—
672C2×C3×D4—32no—
673C2×C3×D4—32no—
674C2×C3×D4—31no—
675C2×C3×D4—32no—
676C2×C3×D4—31no—
677C2×C3×D4—32no—
678C2×C3×D4—64no—
679C2×C3×D4—64no—
680C2×C3×D4—124no—
681C2×C3×D4C22×D312yes—
682C2×C3×D4C22×D312yes—
683C2×C3×D4C22×D311yescharacteristic, complemented
684C2×C3×D4C22×D311yescharacteristic, complemented
685C22×C3×C4—21no—
686C22×C3×C4—31no—
687C22×C3×C4—31no—
688C22×C3×C4—32no—
689C22×C3×C4—31no—
690C22×C3×C4—31no—
691C22×C3×C4—31no—
692C22×C3×C4—31no—
693C22×C3×C4—32no—
694C22×C3×C4—64no—
695C22×C3×C4C22×D311yescharacteristic
696C22×C3×C4C22×D311yescharacteristic
697C2×#67—31no—
698C2×#67—31no—
699C2×#67—32no—
700C2×#67—32no—
701C2×#67—31no—
702C2×#67—31no—
703C2×#67—31no—
704C2×#67—31no—
705C2×#67—32no—
706C2×#67—32no—
707C2×#67—32no—
708C2×#67—32no—
709C2×#67—32no—
710C2×#67—31no—
711C2×#67—31no—
712C2×#67—32no—
713C2×#67—32no—
714C2×#67—32no—
715C2×#67—31no—
716C2×#67—32no—
717C2×#67—32no—
718C2×#67—32no—
719C2×#67—32no—
720C2×#67—61no—
721C2×#67—62no—
722C2×#67—62no—
723C2×#67—62no—
724C2×#67—68no—
725C2×#67—68no—
726C2×#67—68no—
727C2×#67—124no—
728C2×#67C22×D312yes—
729C2×#67C22×D311yescharacteristic
730C2×#67C22×D312yes—
731C2×#67C22×D312yescomplemented
732C2×#67C22×D312yescomplemented
733C2×#67C22×D312yescomplemented
734C22×Dic3—32no—
735C22×Dic3—32no—
736C22×Dic3C22×D311yescharacteristic
737C22×Dic3C22×D312yescomplemented
738#239—64no—
739#239—64no—
740#237—24no—
741#237—64no—
742#237—68no—
743D3×D4—24no—
744D3×D4—38no—
745D3×D4—44no—
746D3×D4—64no—
747D3×D4—68no—
748D3×D4—64no—
749D3×D4—68no—
750D3×D4—64no—
751D3×D4—64no—
752D3×D4—68no—
753D3×D4—68no—
754D3×D4—68no—
755D3×D4—64no—
756D3×D4—124no—
757D3×D4—124no—
758D3×D4—124no—
759D3×D4—124no—
760D3×D4—124no—
761D3×D4—128no—
762D3×D4—124no—
763#235—64no—
764#235—64no—
765#235—68no—
766#235—64no—
767C2×D12—24no—
768C2×D12—32no—
769C2×D12—31no—
770C2×D12—31no—
771C2×D12—38no—
772C2×D12—31no—
773C2×D12—31no—
774C2×D12—32no—
775C2×D12—31no—
776C2×D12—32no—
777C2×D12—32no—
778C2×D12—32no—
779C2×D12—32no—
780C2×D12—31no—
781C2×D12—32no—
782C2×D12—32no—
783C2×D12—31no—
784C2×D12—32no—
785C2×D12—32no—
786C2×D12—32no—
787C2×D12—32no—
788C2×D12—61no—
789C2×D12—62no—
790C2×D12—62no—
791C2×D12—61no—
792C2×D12—68no—
793C2×D12—64no—
794C2×D12—64no—
795C2×D12—68no—
796C2×D12—64no—
797C2×D12—64no—
798C2×D12—68no—
799C2×D12—68no—
800C2×D12—64no—
801C2×D12—124no—
802C2×D12C22×D312yes—
803C2×D12C22×D311yescharacteristic
804C2×D12C22×D311yescharacteristic
805C2×D12C22×D312yescomplemented
806C2×C4×D3—24no—
807C2×C4×D3—32no—
808C2×C4×D3—31no—
809C2×C4×D3—31no—
810C2×C4×D3—32no—
811C2×C4×D3—32no—
812C2×C4×D3—32no—
813C2×C4×D3—32no—
814C2×C4×D3—32no—
815C2×C4×D3—32no—
816C2×C4×D3—32no—
817C2×C4×D3—62no—
818C2×C4×D3—61no—
819C2×C4×D3C22×D311yescharacteristic
820C2×C4×D3C22×D311yescharacteristic
821C2×C4×D3C22×D311yescharacteristic
822C2×C4×D3C22×D311yescharacteristic
823C2×C4×D3C22×D311yescharacteristic, complemented
824C2×C4×D3C22×D312yescomplemented
825C2×Dic6—31no—
826C2×Dic6—31no—
827C2×Dic6C22×D311yescharacteristic, complemented
828C3×C4⋊C4—21no—
829C3×C4⋊C4—31no—
830C3×C4⋊C4—31no—
831C3×C4⋊C4—32no—
832C3×C4⋊C4—32no—
833C3×C4⋊C4C22×D311yescharacteristic, complemented
834C3×C4⋊C4C22×D311yescharacteristic, complemented
835C3×C22⋊C4—22no—
836C3×C22⋊C4—31no—
837C3×C22⋊C4—32no—
838C3×C22⋊C4—32no—
839C3×C22⋊C4—32no—
840C3×C22⋊C4—32no—
841C3×C22⋊C4—32no—
842C3×C22⋊C4—32no—
843C3×C22⋊C4—31no—
844C3×C22⋊C4C22×D312yescomplemented
845C3×C22⋊C4C22×D312yescomplemented
846C3×C42—31no—
847C3×C42—32no—
848#217—31no—
849#217—31no—
850#217—31no—
851#217—31no—
852#217—31no—
853#217—31no—
854#217—32no—
855#217—32no—
856#217—31no—
857#217—32no—
858#217—32no—
859#217—61no—
860#217C22×D311yescharacteristic
861#217C22×D312yes—
862#217C22×D312yescomplemented
863(C2×D3)⋊C4—31no—
864(C2×D3)⋊C4—31no—
865(C2×D3)⋊C4—32no—
866(C2×D3)⋊C4—31no—
867(C2×D3)⋊C4—32no—
868(C2×D3)⋊C4—31no—
869(C2×D3)⋊C4—32no—
870(C2×D3)⋊C4—32no—
871(C2×D3)⋊C4—31no—
872(C2×D3)⋊C4—32no—
873(C2×D3)⋊C4—32no—
874(C2×D3)⋊C4—32no—
875(C2×D3)⋊C4—31no—
876(C2×D3)⋊C4—31no—
877(C2×D3)⋊C4—32no—
878(C2×D3)⋊C4—32no—
879(C2×D3)⋊C4—32no—
880(C2×D3)⋊C4—31no—
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—32no—
887(C2×D3)⋊C4—31no—
888(C2×D3)⋊C4—61no—
889(C2×D3)⋊C4—62no—
890(C2×D3)⋊C4—62no—
891(C2×D3)⋊C4C22×D312yes—
892(C2×D3)⋊C4C22×D312yes—
893(C2×D3)⋊C4C22×D312yescomplemented
894(C2×D3)⋊C4C22×D312yescomplemented
895(C2×D3)⋊C4C22×D311yescharacteristic, complemented
896C4⋊Dic3—31no—
897C4⋊Dic3—31no—
898C4⋊Dic3—31no—
899C4⋊Dic3C22×D311yescharacteristic, complemented
900C4⋊Dic3C22×D312yescomplemented
901Dic3⋊C4—31no—
902Dic3⋊C4—31no—
903Dic3⋊C4—31no—
904Dic3⋊C4—31no—
905Dic3⋊C4—31no—
906Dic3⋊C4—31no—
907Dic3⋊C4—31no—
908Dic3⋊C4—61no—
909Dic3⋊C4C22×D312yescomplemented
910Dic3⋊C4C22×D311yescharacteristic, complemented
911C4×Dic3—31no—
912C4×Dic3—31no—
913C4×Dic3—61no—
914C4×Dic3C22×D312yescomplemented
915C4×Dic3C22×D311yescharacteristic, complemented
916C22×C32—21no—
917C22×C32—21no—
918C22×C32—22no—
919C22×C32—22no—
920C22×C32—22no—
921C22×C32H(5,𝔽2)12yescomplemented
922C22×C32C2511yescharacteristic
923C2×C3⋊D3—21no—
924C2×C3⋊D3—22no—
925C2×C3⋊D3—22no—
926C2×C3⋊D3—21no—
927C2×C3⋊D3—22no—
928C2×C3⋊D3—21no—
929C2×C3⋊D3—22no—
930C2×C3⋊D3—22no—
931C2×C3⋊D3—48no—
932C2×C3⋊D3—84no—
933C2×C3⋊D3C22×D414yes—
934C2×C3×D3—28no—
935C2×C3×D3—21no—
936C2×C3×D3—22no—
937C2×C3×D3—22no—
938C2×C3×D3—21no—
939C2×C3×D3—21no—
940C2×C3×D3—21no—
941C2×C3×D3—21no—
942C2×C3×D3—22no—
943C2×C3×D3—21no—
944C2×C3×D3—22no—
945C2×C3×D3—21no—
946C2×C3×D3—22no—
947C2×C3×D3—48no—
948C2×C3×D3—84no—
949C2×C3×D3C22×D414yes—
950C2×C3×D3C22×D412yes—
951C2×C3×D3H(5,𝔽2)12yescomplemented
952D32—48no—
953D32—48no—
954D32—48no—
955D32—48no—
956C32×C4—21no—
957C32×C4—22no—
958C32×C4C22×D412yes—
959C3⋊Dic3—21no—
960C3⋊Dic3—21no—
961C3⋊Dic3—21no—
962C3×Dic3—22no—
963C3×Dic3—21no—
964C3×Dic3—21no—
965C3×Dic3—22no—
966C3×Dic3—21no—
967C3×Dic3—21no—
968C3×Dic3C22×D412yes—
969C25—92no—
970H(5,𝔽2)—188no—
971C2×#41—31no—
972C2×#41—91no—
973C2×#41—92no—
974C2×#41—91no—
975C2×#41—91no—
976C22×D4—31no—
977C22×D4—32no—
978C22×D4—31no—
979C22×D4—91no—
980C22×D4—92no—
981C22×D4—91no—
982C22×D4—92no—
983C22×D4—91no—
984C22×D4—91no—
985C22×D4—92no—
986C22×D4—92no—
987C22×D4—92no—
988C22×D4—92no—
989C22×D4—92no—
990C22×D4—92no—
991C22×D4—91no—
992C22×D4—92no—
993C22×D4—91no—
994C22×D4—188no—
995C23×C4—31no—
996#127—31no—
997#127—92no—
998#127—91no—
999#124—92no—
1000#124—91no—
1001#124—91no—
1002#123—32no—
1003#123—92no—
1004#123—92no—
1005#123—91no—
1006#123—92no—
1007#123—91no—
1008#123—92no—
1009C22⋊Q8—31no—
1010C22⋊Q8—31no—
1011C22⋊Q8—91no—
1012C22⋊Q8—91no—
1013#121—31no—
1014#121—31no—
1015#121—32no—
1016#121—92no—
1017#121—91no—
1018#121—92no—
1019#121—92no—
1020#121—92no—
1021#121—91no—
1022#121—92no—
1023#121—92no—
1024#121—91no—
1025#121—91no—
1026#121—92no—
1027#121—92no—
1028#121—91no—
1029#121—92no—
1030#121D3211yescharacteristic, complemented
1031#120—32no—
1032#120—32no—
1033#120—32no—
1034#120—92no—
1035#120—92no—
1036#120—92no—
1037#120—92no—
1038#120—92no—
1039#120—92no—
1040#120—91no—
1041#120—92no—
1042#120—92no—
1043#120—92no—
1044#120—92no—
1045#120—92no—
1046#120—92no—
1047#120—91no—
1048#120—92no—
1049#120—92no—
1050C4×D4—32no—
1051C4×D4—31no—
1052C4×D4—31no—
1053C4×D4—32no—
1054C4×D4—92no—
1055C4×D4—91no—
1056C4×D4—92no—
1057C4×D4—91no—
1058C4×D4—91no—
1059C4×D4—91no—
1060C4×D4—91no—
1061C4×D4—91no—
1062#117—31no—
1063#117—91no—
1064C2×C22⋊C4—92no—
1065C2×C22⋊C4—92no—
1066C2×C22⋊C4—92no—
1067C2×C22⋊C4—92no—
1068C2×C22⋊C4—92no—
1069C2×C22⋊C4—92no—
1070C23×C3—21no—
1071C23×C3—22no—
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—62no—
1082C23×C3—64no—
1083C23×C3—122no—
1084C23×C3—122no—
1085C23×C3—122no—
1086C23×C3C23×D312yes—
1087C23×C3C23×D312yes—
1088C23×C3C23×D311yescharacteristic
1089C23×C3C23×D311yescharacteristic
1090C22×D3—22no—
1091C22×D3—22no—
1092C22×D3—22no—
1093C22×D3—24no—
1094C22×D3—24no—
1095C22×D3—24no—
1096C22×D3—32no—
1097C22×D3—32no—
1098C22×D3—38no—
1099C22×D3—38no—
1100C22×D3—32no—
1101C22×D3—32no—
1102C22×D3—31no—
1103C22×D3—31no—
1104C22×D3—42no—
1105C22×D3—42no—
1106C22×D3—42no—
1107C22×D3—62no—
1108C22×D3—61no—
1109C22×D3—62no—
1110C22×D3—64no—
1111C22×D3—64no—
1112C22×D3—64no—
1113C22×D3—64no—
1114C22×D3—64no—
1115C22×D3—64no—
1116C22×D3—64no—
1117C22×D3—64no—
1118C22×D3—64no—
1119C22×D3—64no—
1120C22×D3—64no—
1121C22×D3—64no—
1122C22×D3—64no—
1123C22×D3—64no—
1124C22×D3—64no—
1125C22×D3—64no—
1126C22×D3—124no—
1127C22×D3—124no—
1128C22×D3—124no—
1129C22×D3—122no—
1130C22×D3—122no—
1131C22×D3—122no—
1132C22×D3—122no—
1133C22×D3—122no—
1134C22×D3—122no—
1135C22×D3—122no—
1136C22×D3—122no—
1137C22×D3—122no—
1138C22×D3—122no—
1139C22×D3—122no—
1140C22×D3—122no—
1141C22×D3—1232no—
1142C22×D3—1232no—
1143C22×D3—122no—
1144C22×D3—122no—
1145C22×D3—122no—
1146C22×D3—122no—
1147C22×D3—122no—
1148C22×D3—122no—
1149C22×D3—124no—
1150C22×D3—242no—
1151C22×D3—242no—
1152C22×D3C23×D312yes—
1153C22×D3C23×D311yescharacteristic
1154C22×D3C23×D311yescharacteristic
1155C22×D3C23×D312yes—
1156C22×D3C23×D311yescharacteristic
1157C3×Q8—62no—
1158C3×D4—24no—
1159C3×D4—24no—
1160C3×D4—22no—
1161C3×D4—22no—
1162C3×D4—34no—
1163C3×D4—42no—
1164C3×D4—44no—
1165C3×D4—64no—
1166C3×D4—64no—
1167C3×D4—64no—
1168C3×D4—64no—
1169C3×D4—62no—
1170C3×D4—62no—
1171C3×D4—122no—
1172C3×D4—122no—
1173C3×D4—122no—
1174C2×C3×C4—22no—
1175C2×C3×C4—22no—
1176C2×C3×C4—21no—
1177C2×C3×C4—21no—
1178C2×C3×C4—22no—
1179C2×C3×C4—31no—
1180C2×C3×C4—34no—
1181C2×C3×C4—31no—
1182C2×C3×C4—31no—
1183C2×C3×C4—31no—
1184C2×C3×C4—31no—
1185C2×C3×C4—32no—
1186C2×C3×C4—32no—
1187C2×C3×C4—42no—
1188C2×C3×C4—62no—
1189C2×C3×C4—62no—
1190C2×C3×C4—62no—
1191C2×C3×C4—64no—
1192C2×C3×C4—62no—
1193C2×C3×C4—62no—
1194C2×C3×C4—122no—
1195C2×C3×C4C23×D312yes—
1196C2×C3×C4C23×D311yescharacteristic
1197C2×C3×C4C23×D311yescharacteristic
1198C2×C3×C4C23×D312yes—
1199C2×C3×C4C23×D311yescharacteristic
1200C2×C3×C4C23×D311yescharacteristic
1201#67—22no—
1202#67—24no—
1203#67—24no—
1204#67—24no—
1205#67—38no—
1206#67—42no—
1207#67—42no—
1208#67—64no—
1209#67—64no—
1210#67—62no—
1211#67—64no—
1212#67—64no—
1213#67—62no—
1214#67—62no—
1215#67—62no—
1216#67—64no—
1217#67—64no—
1218#67—64no—
1219#67—62no—
1220#67—62no—
1221#67—62no—
1222#67—62no—
1223#67—62no—
1224#67—64no—
1225#67—124no—
1226#67—122no—
1227#67—122no—
1228#67—122no—
1229#67—122no—
1230#67—122no—
1231#67—122no—
1232#67—124no—
1233#67—242no—
1234C2×Dic3—22no—
1235C2×Dic3—24no—
1236C2×Dic3—31no—
1237C2×Dic3—31no—
1238C2×Dic3—31no—
1239C2×Dic3—31no—
1240C2×Dic3—31no—
1241C2×Dic3—31no—
1242C2×Dic3—61no—
1243C2×Dic3—61no—
1244C2×Dic3—61no—
1245C2×Dic3—64no—
1246C2×Dic3—122no—
1247C2×Dic3C23×D311yescharacteristic
1248C2×Dic3C23×D311yescharacteristic
1249C2×Dic3C23×D312yes—
1250C2×Dic3C23×D311yescharacteristic
1251C2×Dic3C23×D311yescharacteristic
1252C2×Dic3C23×D312yes—
1253C2×Dic3C23×D311yescharacteristic
1254D12—24no—
1255D12—22no—
1256D12—38no—
1257D12—34no—
1258D12—34no—
1259D12—42no—
1260D12—64no—
1261D12—64no—
1262D12—64no—
1263D12—64no—
1264D12—62no—
1265D12—64no—
1266D12—64no—
1267D12—64no—
1268D12—64no—
1269D12—62no—
1270D12—62no—
1271D12—62no—
1272D12—62no—
1273D12—122no—
1274D12—124no—
1275D12—122no—
1276D12—122no—
1277D12—124no—
1278D12—122no—
1279D12—122no—
1280D12D3×D414yescomplemented
1281C4×D3—22no—
1282C4×D3—22no—
1283C4×D3—22no—
1284C4×D3—22no—
1285C4×D3—42no—
1286C4×D3—64no—
1287C4×D3—64no—
1288C4×D3—64no—
1289C4×D3—62no—
1290C4×D3—62no—
1291C4×D3—122no—
1292C4×D3—122no—
1293C4×D3—122no—
1294C4×D3—122no—
1295C4×D3—122no—
1296C4×D3—124no—
1297C4×D3—122no—
1298C4×D3D3×D414yescomplemented
1299Dic6—22no—
1300Dic6—62no—
1301Dic6—62no—
1302C2×C32—22no—
1303C2×C32—42no—
1304C2×C32C23×D411yescharacteristic
1305C2×C32C2×H(5,𝔽2)11yescharacteristic
1306C2×C32C2×H(5,𝔽2)11yescharacteristic
1307C3⋊D3—24no—
1308C3⋊D3—41no—
1309C3⋊D3—42no—
1310C3×D3—22no—
1311C3×D3—22no—
1312C3×D3—24no—
1313C3×D3—42no—
1314C3×D3—41no—
1315C24—31no—
1316C24—32no—
1317C24—32no—
1318C24—92no—
1319C24—92no—
1320C24—92no—
1321C24—92no—
1322C24—92no—
1323C24—92no—
1324C24—188no—
1325C24—364no—
1326C24—364no—
1327#41—64no—
1328#41—184no—
1329#41—188no—
1330#41—184no—
1331#41—184no—
1332C2×Q8—31no—
1333C2×Q8—91no—
1334C2×D4—32no—
1335C2×D4—31no—
1336C2×D4—32no—
1337C2×D4—32no—
1338C2×D4—32no—
1339C2×D4—32no—
1340C2×D4—31no—
1341C2×D4—32no—
1342C2×D4—31no—
1343C2×D4—32no—
1344C2×D4—64no—
1345C2×D4—64no—
1346C2×D4—98no—
1347C2×D4—92no—
1348C2×D4—91no—
1349C2×D4—91no—
1350C2×D4—92no—
1351C2×D4—92no—
1352C2×D4—92no—
1353C2×D4—92no—
1354C2×D4—92no—
1355C2×D4—91no—
1356C2×D4—92no—
1357C2×D4—92no—
1358C2×D4—91no—
1359C2×D4—91no—
1360C2×D4—91no—
1361C2×D4—92no—
1362C2×D4—92no—
1363C2×D4—92no—
1364C2×D4—91no—
1365C2×D4—92no—
1366C2×D4—91no—
1367C2×D4—92no—
1368C2×D4—124no—
1369C2×D4—184no—
1370C2×D4—184no—
1371C2×D4—184no—
1372C2×D4—188no—
1373C2×D4—184no—
1374C2×D4—188no—
1375C2×D4—188no—
1376C2×D4—188no—
1377C2×D4—184no—
1378C2×D4—188no—
1379C2×D4—188no—
1380C2×D4—364no—
1381C2×D4—364no—
1382C2×D4—364no—
1383C2×D4C2×D3212yes—
1384C2×D4C2×D3211yescharacteristic, complemented
1385C22×C4—31no—
1386C22×C4—32no—
1387C22×C4—31no—
1388C22×C4—31no—
1389C22×C4—31no—
1390C22×C4—31no—
1391C22×C4—31no—
1392C22×C4—32no—
1393C22×C4—64no—
1394C22×C4—92no—
1395C22×C4—92no—
1396C22×C4—92no—
1397C22×C4—92no—
1398C22×C4—91no—
1399C22×C4—92no—
1400C22×C4C2×D3211yescharacteristic
1401C4⋊C4—31no—
1402C4⋊C4—31no—
1403C4⋊C4—32no—
1404C4⋊C4—32no—
1405C4⋊C4—91no—
1406C4⋊C4—91no—
1407C4⋊C4—91no—
1408C4⋊C4—91no—
1409C4⋊C4—91no—
1410C4⋊C4C2×D3211yescharacteristic, complemented
1411C22⋊C4—31no—
1412C22⋊C4—32no—
1413C22⋊C4—32no—
1414C22⋊C4—32no—
1415C22⋊C4—32no—
1416C22⋊C4—32no—
1417C22⋊C4—32no—
1418C22⋊C4—31no—
1419C22⋊C4—92no—
1420C22⋊C4—92no—
1421C22⋊C4—92no—
1422C22⋊C4—92no—
1423C22⋊C4—91no—
1424C22⋊C4—91no—
1425C22⋊C4—91no—
1426C22⋊C4—91no—
1427C22⋊C4—91no—
1428C22⋊C4—92no—
1429C22⋊C4—92no—
1430C22⋊C4—92no—
1431C22⋊C4—92no—
1432C22⋊C4—91no—
1433C22⋊C4—91no—
1434C22⋊C4—92no—
1435C22⋊C4—92no—
1436C22⋊C4—91no—
1437C22⋊C4C2×D3212yescomplemented
1438C42—32no—
1439C42—31no—
1440C42—91no—
1441C22×C3—21no—
1442C22×C3—21no—
1443C22×C3—21no—
1444C22×C3—21no—
1445C22×C3—22no—
1446C22×C3—22no—
1447C22×C3—22no—
1448C22×C3—22no—
1449C22×C3—22no—
1450C22×C3—22no—
1451C22×C3—22no—
1452C22×C3—21no—
1453C22×C3—34no—
1454C22×C3—32no—
1455C22×C3—32no—
1456C22×C3—41no—
1457C22×C3—41no—
1458C22×C3—42no—
1459C22×C3—42no—
1460C22×C3—42no—
1461C22×C3—68no—
1462C22×C3—61no—
1463C22×C3—61no—
1464C22×C3—61no—
1465C22×C3—62no—
1466C22×C3—62no—
1467C22×C3—61no—
1468C22×C3—61no—
1469C22×C3—62no—
1470C22×C3—61no—
1471C22×C3—62no—
1472C22×C3—61no—
1473C22×C3—62no—
1474C22×C3—128no—
1475C22×C3—244no—
1476C22×C3#100412yescomplemented
1477C22×C3#100912yescomplemented
1478C22×C3C24×D311yescharacteristic
1479C22×C3C24×D311yescharacteristic
1480C2×D3—28no—
1481C2×D3—21no—
1482C2×D3—22no—
1483C2×D3—21no—
1484C2×D3—21no—
1485C2×D3—21no—
1486C2×D3—22no—
1487C2×D3—21no—
1488C2×D3—22no—
1489C2×D3—21no—
1490C2×D3—22no—
1491C2×D3—21no—
1492C2×D3—22no—
1493C2×D3—34no—
1494C2×D3—34no—
1495C2×D3—48no—
1496C2×D3—64no—
1497C2×D3—62no—
1498C2×D3—62no—
1499C2×D3—62no—
1500C2×D3—62no—
1501C2×D3—62no—
1502C2×D3—61no—
1503C2×D3—61no—
1504C2×D3—62no—
1505C2×D3—62no—
1506C2×D3—61no—
1507C2×D3—62no—
1508C2×D3—61no—
1509C2×D3—61no—
1510C2×D3—62no—
1511C2×D3—62no—
1512C2×D3—61no—
1513C2×D3—62no—
1514C2×D3—84no—
1515C2×D3—122no—
1516C2×D3—121no—
1517C2×D3—122no—
1518C2×D3—121no—
1519C2×D3—122no—
1520C2×D3—122no—
1521C2×D3—122no—
1522C2×D3—128no—
1523C2×D3—128no—
1524C2×D3—128no—
1525C2×D3—128no—
1526C2×D3—128no—
1527C2×D3—128no—
1528C2×D3—128no—
1529C2×D3—128no—
1530C2×D3—128no—
1531C2×D3—128no—
1532C2×D3—248no—
1533C2×D3—244no—
1534C2×D3—244no—
1535C2×D3—248no—
1536C2×D3C2×D3×D412yes—
1537C2×D3C2×D3×D414yes—
1538C2×D3#100912yescomplemented
1539C3×C4—21no—
1540C3×C4—21no—
1541C3×C4—22no—
1542C3×C4—22no—
1543C3×C4—22no—
1544C3×C4—32no—
1545C3×C4—42no—
1546C3×C4—41no—
1547C3×C4—61no—
1548C3×C4—62no—
1549C3×C4—61no—
1550C3×C4—61no—
1551C3×C4—61no—
1552C3×C4—62no—
1553C3×C4C2×D3×D412yes—
1554C3×C4C2×D3×D412yes—
1555Dic3—22no—
1556Dic3—21no—
1557Dic3—21no—
1558Dic3—21no—
1559Dic3—22no—
1560Dic3—21no—
1561Dic3—62no—
1562Dic3—61no—
1563Dic3—61no—
1564Dic3—61no—
1565Dic3—61no—
1566Dic3—61no—
1567Dic3—61no—
1568Dic3—121no—
1569Dic3—121no—
1570Dic3C2×D3×D412yes—
1571C32#348411yescharacteristic, complemented, Sylow
1572C23—31no—
1573C23—31no—
1574C23—32no—
1575C23—32no—
1576C23—31no—
1577C23—62no—
1578C23—62no—
1579C23—64no—
1580C23—64no—
1581C23—62no—
1582C23—64no—
1583C23—98no—
1584C23—92no—
1585C23—92no—
1586C23—91no—
1587C23—122no—
1588C23—122no—
1589C23—122no—
1590C23—184no—
1591C23—184no—
1592C23—184no—
1593C23—184no—
1594C23—184no—
1595C23—184no—
1596C23—184no—
1597C23—184no—
1598C23—362no—
1599C23—362no—
1600C23—362no—
1601C23—362no—
1602C23—362no—
1603C23—362no—
1604C23—362no—
1605C23—362no—
1606C23—362no—
1607C23—3632no—
1608C23C22×D3212yes—
1609C23C22×D3211yescharacteristic
1610Q8—62no—
1611Q8—182no—
1612D4—24no—
1613D4—22no—
1614D4—34no—
1615D4—64no—
1616D4—64no—
1617D4—64no—
1618D4—64no—
1619D4—62no—
1620D4—62no—
1621D4—98no—
1622D4—94no—
1623D4—122no—
1624D4—122no—
1625D4—122no—
1626D4—184no—
1627D4—184no—
1628D4—182no—
1629D4—184no—
1630D4—182no—
1631D4—184no—
1632D4—182no—
1633D4—184no—
1634D4—184no—
1635D4—184no—
1636D4—182no—
1637D4—182no—
1638D4—182no—
1639D4—182no—
1640D4—362no—
1641D4—362no—
1642D4—362no—
1643D4—362no—
1644D4—362no—
1645C2×C4—22no—
1646C2×C4—31no—
1647C2×C4—34no—
1648C2×C4—31no—
1649C2×C4—32no—
1650C2×C4—31no—
1651C2×C4—31no—
1652C2×C4—32no—
1653C2×C4—31no—
1654C2×C4—62no—
1655C2×C4—62no—
1656C2×C4—62no—
1657C2×C4—64no—
1658C2×C4—62no—
1659C2×C4—62no—
1660C2×C4—91no—
1661C2×C4—91no—
1662C2×C4—91no—
1663C2×C4—122no—
1664C2×C4—184no—
1665C2×C4—184no—
1666C2×C4—182no—
1667C2×C4—362no—
1668C2×C4—362no—
1669C2×C4—362no—
1670C2×C4C22×D3212yes—
1671C2×C4C22×D3211yescharacteristic
1672C2×C4C22×D3211yescharacteristic
1673C2×C3—22no—
1674C2×C3—22no—
1675C2×C3—21no—
1676C2×C3—21no—
1677C2×C3—21no—
1678C2×C3—42no—
1679C2×C3—42no—
1680C2×C3—42no—
1681C2×C3—64no—
1682C2×C3—62no—
1683C2×C3—62no—
1684C2×C3—82no—
1685C2×C3—122no—
1686C2×C3—121no—
1687C2×C3C22×D3×D411yescharacteristic
1688C2×C3C22×D3×D411yescharacteristic
1689C2×C3C2×#100411yescharacteristic
1690C2×C3C2×#100911yescharacteristic
1691C2×C3C2×#100911yescharacteristic
1692C2×C3D3×H(5,𝔽2)11yescharacteristic
1693D3—22no—
1694D3—22no—
1695D3—24no—
1696D3—42no—
1697D3—41no—
1698D3—64no—
1699D3—64no—
1700D3—124no—
1701D3—122no—
1702D3—122no—
1703D3—121no—
1704D3—122no—
1705D3—121no—
1706D3—242no—
1707C22—21no—
1708C22—21no—
1709C22—22no—
1710C22—22no—
1711C22—22no—
1712C22—32no—
1713C22—34no—
1714C22—32no—
1715C22—68no—
1716C22—61no—
1717C22—62no—
1718C22—61no—
1719C22—61no—
1720C22—62no—
1721C22—61no—
1722C22—61no—
1723C22—62no—
1724C22—61no—
1725C22—62no—
1726C22—62no—
1727C22—61no—
1728C22—94no—
1729C22—128no—
1730C22—182no—
1731C22—182no—
1732C22—181no—
1733C22—182no—
1734C22—181no—
1735C22—182no—
1736C22—181no—
1737C22—182no—
1738C22—244no—
1739C22—368no—
1740C22—368no—
1741C22—368no—
1742C22—368no—
1743C22—368no—
1744C22—724no—
1745C22#6431412yescomplemented
1746C22C23×D3211yescharacteristic
1747C4—21no—
1748C4—22no—
1749C4—32no—
1750C4—61no—
1751C4—61no—
1752C4—62no—
1753C4—61no—
1754C4—62no—
1755C4—61no—
1756C4—181no—
1757C4—181no—
1758C4—181no—
1759C4D32×D412yes—
1760C3—21no—
1761C3#8603911yescharacteristic, complemented
1762C3#8662011yescharacteristic, complemented
1763C2—22no—
1764C2—42no—
1765C2—62no—
1766C2—62no—
1767C2—64no—
1768C2—122no—
1769C2—121no—
1770C2—184no—
1771C2—362no—
1772C2—361no—
1773C2C2×D32×D411yescharacteristic
1774C2C2×#6431411yescharacteristic
1775C2D3×#100911yescharacteristic
subgroupG/H
center, FrattiniC22C23×D32
commutator, socle, cosocleC22×C32C25
FittingC32×#121C22
hypercenter#121D32
hypocenterC32#3484
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C22 ◁ #121

Complements

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

NH ≅ G/Ntype
1. C2×#64314C2semidirect
2. C22×D3×D12C2semidirect
3. #10596080C2semidirect
4. C3×#5609C2semidirect
5. C3×#5606C2semidirect
6. #10595303C2semidirect
7. #10595297C2semidirect
8. #10595288C2semidirect
9. #10595278C2semidirect
10. D3×#937C2semidirect
11. D4×#626C2semidirect
12. #10595135C2semidirect
13. #10595018C2semidirect
14. #10595002C2semidirect
15. #10594889C2semidirect
16. #10594633C2semidirect
17. #10594629C2semidirect
18. #10594628C2semidirect
19. #10594604C2semidirect
20. #10594283C2semidirect
21. #10594277C2semidirect
22. #10594264C2semidirect
23. #10594262C2semidirect
26. C23×D32C22semidirect
27. C2×D4×C3⋊D3C22semidirect
28. C2×D4×C3⋊D3C22semidirect
29. C22×C4⋊(C3⋊D3)C22semidirect
30. C2×C3×#237C22semidirect
31. C2×C3×D3×D4C22semidirect
32. C2×C3×D3×D4C22semidirect
33. C22×C3×D12C22semidirect
34. C22×C3×C4×D3C22semidirect
35. C2×#3811C22semidirect
36. C2×#3811C22semidirect
37. C2×D3×#67C22semidirect
38. C2×D3×#67C22semidirect
39. C22×#626C22semidirect
40. C22×#626C22semidirect
41. C2×#3804C22semidirect
45. C2×D3×D12C22semidirect
46. C2×D3×D12C22semidirect
47. C2×D3×D12C22semidirect
48. C2×D3×D12C22semidirect
49. C2×D3×D12C22semidirect
50. C2×#3799C22semidirect
51. C2×#3798C22semidirect
52. C2×#3796C22semidirect
53. C32×#121C22semidirect
54. #64149C22semidirect
55. #64146C22semidirect
56. C4×#638C22semidirect
57. #64104C22semidirect
58. #64102C22semidirect
59. #64093C22semidirect
60. #64091C22semidirect
61. C3×#940C22semidirect
62. C3×#938C22semidirect
63. C3×#937C22semidirect
64. C3×#937C22semidirect
65. C3×D4×Dic3C22semidirect
66. C3×C4×#67C22semidirect
67. C3×#924C22semidirect
68. C3×#897C22semidirect
69. C3×#895C22semidirect
70. C3×#893C22semidirect
71. C3×#892C22semidirect
72. C3×#884C22semidirect
73. C3×#883C22semidirect
74. C3×#882C22semidirect
75. C3×#67⋊C4C22semidirect
76. #63983C22semidirect
77. #63983C22semidirect
78. #63983C22semidirect
79. #63983C22semidirect
80. #63981C22semidirect
81. #63981C22semidirect
82. #63978C22semidirect
83. #63978C22semidirect
84. #63978C22semidirect
85. #63977C22semidirect
86. #63977C22semidirect
87. #63977C22semidirect
88. #63976C22semidirect
89. #63974C22semidirect
90. #63971C22semidirect
91. D3×#217C22semidirect
92. #63964C22semidirect
93. #63958C22semidirect
94. #63923C22semidirect
95. #63923C22semidirect
96. #63922C22semidirect
97. #63922C22semidirect
98. #63921C22semidirect
99. #63921C22semidirect
100. D3×(C2×D3)⋊C4C22semidirect
101. D3×(C2×D3)⋊C4C22semidirect
102. #63916C22semidirect
103. #63916C22semidirect
104. #63911C22semidirect
105. #63910C22semidirect
106. #63909C22semidirect
107. #63909C22semidirect
108. #63906C22semidirect
109. #63905C22semidirect
110. C4×#626C22semidirect
111. C4×#626C22semidirect
112. C4×#625C22semidirect
113. #63898C22semidirect
114. #63897C22semidirect
115. #63894C22semidirect
116. #63890C22semidirect
117. #63886C22semidirect
118. #63884C22semidirect
119. #63880C22semidirect
120. #63864C22semidirect
121. #63863C22semidirect
122. #63855C22semidirect
123. #63854C22semidirect
124. #63852C22semidirect
125. #63851C22semidirect
126. #63850C22semidirect
154. #5609D3semidirect
156. #5606D3semidirect
175. C23×C3⋊D3C23semidirect
178. C23×C3×D3C23semidirect
187. C2×C32×D4C23semidirect
190. C2×#638C23semidirect
191. C2×#638C23semidirect
192. C2×#638C23semidirect
199. C2×C4⋊(C3⋊D3)C23semidirect
200. C2×C4×C3⋊D3C23semidirect
201. C2×C4×C3⋊D3C23semidirect
205. C2×C3×#67C23semidirect
206. C2×C3×#67C23semidirect
207. C2×C3×#67C23semidirect
209. C22×C3×Dic3C23semidirect
217. C2×C3×D12C23semidirect
223. C2×C3×C4×D3C23semidirect
224. C2×C3×C4×D3C23semidirect
225. C2×C3×Dic6C23semidirect
230. C2×#627C23semidirect
239. C2×#626C23semidirect
240. C2×#626C23semidirect
241. C2×#626C23semidirect
242. C2×#626C23semidirect
243. C2×#626C23semidirect
246. C2×#624C23semidirect
247. C2×#624C23semidirect
249. C2×D3×Dic3C23semidirect
250. C2×D3×Dic3C23semidirect
256. D3×D12D4semidirect
260. C32×C4⋊C4C23semidirect
261. C32×C22⋊C4C23semidirect
263. #3752C23semidirect
264. #3752C23semidirect
265. #3752C23semidirect
266. #3750C23semidirect
267. C4×C3⋊Dic3C23semidirect
270. C3×#217C23semidirect
273. C3×(C2×D3)⋊C4C23semidirect
274. C3×(C2×D3)⋊C4C23semidirect
275. C3×(C2×D3)⋊C4C23semidirect
276. C3×C4⋊Dic3C23semidirect
277. C3×C4⋊Dic3C23semidirect
278. C3×Dic3⋊C4C23semidirect
279. C3×Dic3⋊C4C23semidirect
280. C3×C4×Dic3C23semidirect
281. C3×C4×Dic3C23semidirect
282. #3724C23semidirect
283. Dic3⋊Dic3C23semidirect
284. Dic3⋊Dic3C23semidirect
285. Dic3⋊Dic3C23semidirect
286. #3722C23semidirect
287. #3722C23semidirect
288. #3722C23semidirect
289. #3722C23semidirect
290. #3722C23semidirect
295. (C2×D3)⋊Dic3C23semidirect
296. (C2×D3)⋊Dic3C23semidirect
297. (C2×D3)⋊Dic3C23semidirect
298. (C2×D3)⋊Dic3C23semidirect
299. (C2×D3)⋊Dic3C23semidirect
318. C2×#237C2×D3semidirect
338. C2×D3×D4C2×D3semidirect
339. C2×D3×D4C2×D3semidirect
356. C22×D12C2×D3semidirect
357. C22×C4×D3C2×D3semidirect
366. C3×#121C2×D3semidirect
367. C3×#121C2×D3semidirect
387. #940C2×D3semidirect
396. #938C2×D3semidirect
413. #937C2×D3semidirect
414. #937C2×D3semidirect
418. D4×Dic3C2×D3semidirect
434. C4×#67C2×D3semidirect
440. #924C2×D3semidirect
441. #897C2×D3semidirect
452. #895C2×D3semidirect
464. #893C2×D3semidirect
465. #892C2×D3semidirect
475. #884C2×D3semidirect
478. #883C2×D3semidirect
493. #882C2×D3semidirect
495. #67⋊C4C2×D3semidirect
551. C2×D32C2×D4semidirect
568. C4⋊(C3⋊D3)C2×D4semidirect
589. C3×D12C2×D4semidirect
595. C3×C4×D3C2×D4semidirect
608. #626C2×D4semidirect
663. C23×D3C22×D3semidirect
683. C2×C3×D4C22×D3semidirect
684. C2×C3×D4C22×D3semidirect
731. C2×#67C22×D3semidirect
732. C2×#67C22×D3semidirect
733. C2×#67C22×D3semidirect
737. C22×Dic3C22×D3semidirect
805. C2×D12C22×D3semidirect
823. C2×C4×D3C22×D3semidirect
824. C2×C4×D3C22×D3semidirect
827. C2×Dic6C22×D3semidirect
833. C3×C4⋊C4C22×D3semidirect
834. C3×C4⋊C4C22×D3semidirect
844. C3×C22⋊C4C22×D3semidirect
845. C3×C22⋊C4C22×D3semidirect
862. #217C22×D3semidirect
893. (C2×D3)⋊C4C22×D3semidirect
894. (C2×D3)⋊C4C22×D3semidirect
895. (C2×D3)⋊C4C22×D3semidirect
899. C4⋊Dic3C22×D3semidirect
900. C4⋊Dic3C22×D3semidirect
909. Dic3⋊C4C22×D3semidirect
910. Dic3⋊C4C22×D3semidirect
914. C4×Dic3C22×D3semidirect
915. C4×Dic3C22×D3semidirect
921. C22×C32H(5,𝔽2)semidirect
951. C2×C3×D3H(5,𝔽2)semidirect
1030. #121D32semidirect
1280. D12D3×D4semidirect
1298. C4×D3D3×D4semidirect
1384. C2×D4C2×D32semidirect
1410. C4⋊C4C2×D32semidirect
1437. C22⋊C4C2×D32semidirect
1476. C22×C3#1004semidirect
1477. C22×C3#1009semidirect
1538. C2×D3#1009semidirect
1571. C32#3484semidirect
1745. C22#64314semidirect
1761. C3#86039semidirect
1762. C3#86620semidirect

Maximal subgroups

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

subgroupindex
C2×#643142
C22×D3×D122
#105960802
C3×#56092
C3×#56062
#105953032
#105952972
#105952882
#105952782
D3×#9372
D4×#6262
#105951352
#105950182
#105950022
#105948892
#105946332
#105946292
#105946282
#105946042
#105942832
#105942772
#105942642
#105942622
#866203
#860393