Finite Group Databasebeta

← #11079648

Subgroups — #11079648

Order 768.

2598 conjugacy classes of subgroups.

The subgroup lattice has 1744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5681C211yesmaximal, characteristic, complemented
2C2×#5586C211yesmaximal, characteristic, complemented
3C3×#2670C211yesmaximal, characteristic, complemented
4#82985C211yesmaximal, characteristic, complemented
5#82975C211yesmaximal, characteristic, complemented
6#82953C211yesmaximal, characteristic, complemented
7#82610C211yesmaximal, characteristic, complemented
8#82609C211yesmaximal, characteristic, complemented
9Dic3×#120C211yesmaximal, characteristic, complemented
10#77008C211yesmaximal, characteristic, complemented
11#76974C211yesmaximal, characteristic, complemented
12#76965C211yesmaximal, characteristic, complemented
13#76916C211yesmaximal, characteristic, complemented
14#76805C211yesmaximal, characteristic, complemented
15#76797C211yesmaximal, characteristic, complemented
16#76757C211yesmaximal, characteristic, complemented
17#76712C211yesmaximal, characteristic, complemented
18#76700C211yesmaximal, characteristic, complemented
19#76693C211yesmaximal, characteristic, complemented
20#76683C211yesmaximal, characteristic, complemented
21#76676C211yesmaximal, characteristic, complemented
22#76441C211yesmaximal, characteristic, complemented
23#76435C211yesmaximal, characteristic, complemented
24#76372C211yesmaximal, characteristic, complemented
25#76326C211yesmaximal, characteristic, complemented
26#75835C211yesmaximal, characteristic, complemented
27#75829C211yesmaximal, characteristic, complemented
28#75668C211yesmaximal, characteristic, complemented
29#75515C211yesmaximal, characteristic, complemented
30#73859C211yesmaximal, characteristic, complemented
31#73847C211yesmaximal, characteristic, complemented
32#39845—31nomaximal, Sylow
33C24×Dic3C2211yescharacteristic
34C22×#237C2211yescharacteristic
35C2×C3×#124C2211yescharacteristic
36C2×C3×#124C2211yescharacteristic
37C2×C3×#120C2211yescharacteristic
38C2×C3×#120C2211yescharacteristic
39C2×#953C2211yescharacteristic
40C2×#953C2211yescharacteristic
41C2×#947C2211yescharacteristic, complemented
42C2×Q8×Dic3C2211yescharacteristic, complemented
43C2×#940C2211yescharacteristic
44C2×#939C2211yescharacteristic
45C2×#939C2211yescharacteristic
46C2×#938C2211yescharacteristic
47C2×#938C2211yescharacteristic
48C2×#938C2211yescharacteristic, complemented
49C2×#935C2211yescharacteristic
50C2×D4×Dic3C2211yescharacteristic
51C2×D4×Dic3C2211yescharacteristic
52C2×D4×Dic3C2211yescharacteristic
53C2×D4×Dic3C2211yescharacteristic
54C2×D4×Dic3C2211yescharacteristic
55#5681—28no—
56#5586—28no—
57C2×#897C2211yescharacteristic, complemented
58C2×#886C2211yescharacteristic
59C2×#886C2211yescharacteristic
60C2×#886C2211yescharacteristic
61C2×#886C2211yescharacteristic, complemented
62C2×#885C2211yescharacteristic
63C2×#885C2211yescharacteristic, complemented
64C2×#884C2211yescharacteristic
65C2×#883C2211yescharacteristic
66C2×#883C2211yescharacteristic, complemented
67C2×#67⋊C4C2211yescharacteristic
68C2×#67⋊C4C2211yescharacteristic
69C2×#67⋊C4C2211yescharacteristic, complemented
70C2×#878C2211yescharacteristic
71C2×#878C2211yescharacteristic
72C2×#877C2211yescharacteristic
73C2×C4×D12C2211yescharacteristic, complemented
74C2×C4×Dic6C2211yescharacteristic, complemented
75C3×#394C2211yescharacteristic
76C3×#394C2211yescharacteristic
77C3×#393C2211yescharacteristic
78C3×#392C2211yescharacteristic
79C3×#392C2211yescharacteristic
80C3×#392C2211yescharacteristic
81C3×#390C2211yescharacteristic
82C3×#390C2211yescharacteristic
83C3×#388C2211yescharacteristic
84C3×#388C2211yescharacteristic
85C3×#379C2211yescharacteristic
86#5247C2211yescharacteristic
87#5230C2211yescharacteristic, complemented
88#5229C2211yescharacteristic, complemented
89#5223C2211yescharacteristic
90#5223C2211yescharacteristic
91#5223C2211yescharacteristic
92#5223C2211yescharacteristic
93#5223C2211yescharacteristic
94#5223C2211yescharacteristic, complemented
95#5222C2211yescharacteristic
96#5222C2211yescharacteristic
97#5222C2211yescharacteristic
98#5221C2211yescharacteristic
99#5220C2211yescharacteristic
100#5220C2211yescharacteristic
101#5220C2211yescharacteristic
102#5220C2211yescharacteristic, complemented
103#5220C2211yescharacteristic, complemented
104#4990C2211yescharacteristic, complemented
105#4987C2211yescharacteristic, complemented
106#4987C2211yescharacteristic, complemented
107#4984C2211yescharacteristic, complemented
108#4981C2211yescharacteristic, complemented
109#4979C2211yescharacteristic, complemented
110#4978C2211yescharacteristic, complemented
111#4961C2211yescharacteristic
112#4961C2211yescharacteristic
113#4961C2211yescharacteristic, complemented
114#4961C2211yescharacteristic, complemented
115#4960C2211yescharacteristic
116#4960C2211yescharacteristic, complemented
117#4959C2211yescharacteristic
118#4959C2211yescharacteristic, complemented
119#4958C2211yescharacteristic
120#4958C2211yescharacteristic
121#4958C2211yescharacteristic
122#4958C2211yescharacteristic
123#4958C2211yescharacteristic, complemented
124#4957C2211yescharacteristic
125#4957C2211yescharacteristic, complemented
126#4956C2211yescharacteristic
127#4956C2211yescharacteristic
128#4956C2211yescharacteristic
129#4956C2211yescharacteristic
130#4956C2211yescharacteristic
131#4956C2211yescharacteristic, complemented
132#4953C2211yescharacteristic
133#4953C2211yescharacteristic
134#4953C2211yescharacteristic, complemented
135#4952C2211yescharacteristic
136#4951C2211yescharacteristic
137#4951C2211yescharacteristic
138#4951C2211yescharacteristic
139#4951C2211yescharacteristic, complemented
140#4951C2211yescharacteristic, complemented
141#4951C2211yescharacteristic, complemented
142#4950C2211yescharacteristic
143#4950C2211yescharacteristic
144#4950C2211yescharacteristic
145#4950C2211yescharacteristic
146#4950C2211yescharacteristic
147#4950C2211yescharacteristic
148#4950C2211yescharacteristic
149#4950C2211yescharacteristic, complemented
150#4950C2211yescharacteristic, complemented
151#4950C2211yescharacteristic, complemented
152#4948C2211yescharacteristic
153#4948C2211yescharacteristic, complemented
154#4947C2211yescharacteristic
155#4947C2211yescharacteristic
156#4947C2211yescharacteristic, complemented
157#4947C2211yescharacteristic, complemented
158#4945C2211yescharacteristic
159#4945C2211yescharacteristic
160#4945C2211yescharacteristic, complemented
161#4945C2211yescharacteristic, complemented
162#4945C2211yescharacteristic, complemented
163#4943C2211yescharacteristic
164#4943C2211yescharacteristic
165Dic3×C22⋊C4C2211yescharacteristic
166Dic3×C22⋊C4C2211yescharacteristic
167Dic3×C22⋊C4C2211yescharacteristic
168#4940C2211yescharacteristic, complemented
169C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
170#4935C2211yescharacteristic, complemented
171#4933C2211yescharacteristic, complemented
172#4932C2211yescharacteristic, complemented
173#4929C2211yescharacteristic, complemented
174#4675C2211yescharacteristic, complemented
175#4674C2211yescharacteristic, complemented
176#4670C2211yescharacteristic, complemented
177#4668C2211yescharacteristic, complemented
178#4666C2211yescharacteristic, complemented
179#4665C2211yescharacteristic, complemented
180D3×#95C2211yescharacteristic, complemented
181#4661C2211yescharacteristic, complemented
182#4656C2211yescharacteristic, complemented
183#4655C2211yescharacteristic, complemented
184#4655C2211yescharacteristic, complemented
185#4655C2211yescharacteristic, complemented
186#4655C2211yescharacteristic, complemented
187#4654C2211yescharacteristic, complemented
188#4654C2211yescharacteristic, complemented
189#4651C2211yescharacteristic, complemented
190C2×#559—31no—
191C2×#525—31no—
192#2849—31no—
193#2700—31no—
194#2686—31no—
195#2684—31no—
196#2680—31no—
197#2678—31no—
198#2673—31no—
199#2670D311yescharacteristic, complemented
200#2669—31no—
201#2631—31no—
202#2630—31no—
203#2610—31no—
204#2602—31no—
205#2600—31no—
206#2599—31no—
207#2557—31no—
208#2555—31no—
209#2465—31no—
210#2464—31no—
211#2463—31no—
212#2458—31no—
213#2456—31no—
214#2430—31no—
215#2422—31no—
216#2407—31no—
217#2353—31no—
218#2326—31no—
219#2325—31no—
220C4×#120—31no—
221C25×C3C2311yescharacteristic
222C22×C3×Q8C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C22×C3×D4C2311yescharacteristic
229C22×C3×D4C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C23×Dic3—24no—
241C23×Dic3—42no—
242C23×Dic3—42no—
243C23×Dic3C2311yescharacteristic
244C23×Dic3C2311yescharacteristic
245C23×Dic3C2311yescharacteristic
246C23×Dic3C2311yescharacteristic
247C23×Dic3C2311yescharacteristic
248C23×Dic3C2311yescharacteristic
249C23×Dic3C2311yescharacteristic
250C23×Dic3C2311yescharacteristic
251C2×#237—24no—
252C2×#237—42no—
253C2×#237—42no—
254C22×D12C2311yescharacteristic
255C22×C4×D3C2311yescharacteristic
256C22×C4×D3C2311yescharacteristic
257C22×C4×D3C2311yescharacteristic
258C22×C4×D3C2311yescharacteristic
259C22×Dic6C2311yescharacteristic
260C22×Dic6C2311yescharacteristic
261C3×#124—24no—
262C3×#124—24no—
263C3×#120—24no—
264C3×#120—24no—
265C2×C3×C4⋊C4C2311yescharacteristic
266C2×C3×C4⋊C4C2311yescharacteristic
267C2×C3×C22⋊C4C2311yescharacteristic
268C2×C3×C22⋊C4C2311yescharacteristic
269C2×C3×C22⋊C4C2311yescharacteristic
270C2×C3×C22⋊C4C2311yescharacteristic
271C2×C3×C22⋊C4C2311yescharacteristic
272C2×C3×C22⋊C4C2311yescharacteristic
273C2×C3×C22⋊C4C2311yescharacteristic
274C2×C3×C22⋊C4C2311yescharacteristic
275C2×C3×C22⋊C4C2311yescharacteristic
276C2×C3×C22⋊C4C2311yescharacteristic
277C2×C3×C22⋊C4C2311yescharacteristic
278C2×C3×C22⋊C4C2311yescharacteristic
279C2×C3×C22⋊C4C2311yescharacteristic
280C2×C3×C22⋊C4C2311yescharacteristic
281C2×C3×C22⋊C4C2311yescharacteristic
282C2×C3×C22⋊C4C2311yescharacteristic
283C2×C3×C22⋊C4C2311yescharacteristic
284C2×C3×C22⋊C4C2311yescharacteristic
285C2×C3×C42C2311yescharacteristic
286C2×C3×C42C2311yescharacteristic
287#953—24no—
288#953—42no—
289C2×#217C2311yescharacteristic
290C2×#217C2311yescharacteristic
291C2×#217C2311yescharacteristic
292C2×#217C2311yescharacteristic
293C2×#217C2311yescharacteristic
294C2×#217C2311yescharacteristic
295C2×#217C2311yescharacteristic
296C2×#217C2311yescharacteristic
297C2×#217C2311yescharacteristic
298C2×#217C2311yescharacteristic
299C2×#217C2311yescharacteristic
300C2×#217C2311yescharacteristic
301C2×#217C2311yescharacteristic
302C2×#217C2311yescharacteristic
303C2×#217C2311yescharacteristic
304C2×#217C2311yescharacteristic
305C2×#217C2311yescharacteristic
306C2×#217C2311yescharacteristic
307C2×#217C2311yescharacteristic
308C2×#217C2311yescharacteristic
309C2×#217C2311yescharacteristic
310C2×#217C2311yescharacteristic
311#947—24no—
312Q8×Dic3—24no—
313#940—24no—
314#939—24no—
315#939—24no—
316#938—42no—
317#938—42no—
318#938—42no—
319#935—24no—
320D4×Dic3—24no—
321D4×Dic3—24no—
322D4×Dic3—24no—
323D4×Dic3—42no—
324D4×Dic3—42no—
325C2×(C2×D3)⋊C4C2311yescharacteristic
326C2×(C2×D3)⋊C4C2311yescharacteristic
327C2×(C2×D3)⋊C4C2311yescharacteristic
328C2×(C2×D3)⋊C4C2311yescharacteristic
329C2×(C2×D3)⋊C4C2311yescharacteristic
330C2×(C2×D3)⋊C4C2311yescharacteristic
331C2×(C2×D3)⋊C4C2311yescharacteristic
332C2×(C2×D3)⋊C4C2311yescharacteristic
333C2×(C2×D3)⋊C4C2311yescharacteristic
334C2×(C2×D3)⋊C4C2311yescharacteristic
335C2×(C2×D3)⋊C4C2311yescharacteristic
336C2×(C2×D3)⋊C4C2311yescharacteristic
337C2×(C2×D3)⋊C4C2311yescharacteristic
338C2×(C2×D3)⋊C4C2311yescharacteristic
339C2×C4⋊Dic3C2311yescharacteristic
340C2×C4⋊Dic3C2311yescharacteristic
341C2×C4⋊Dic3C2311yescharacteristic
342C2×C4⋊Dic3C2311yescharacteristic
343C2×C4⋊Dic3C2311yescharacteristic
344C2×C4⋊Dic3C2311yescharacteristic
345C2×C4⋊Dic3C2311yescharacteristic
346C2×C4⋊Dic3C2311yescharacteristic
347C2×C4⋊Dic3C2311yescharacteristic
348C2×C4⋊Dic3C2311yescharacteristic
349C2×C4⋊Dic3C2311yescharacteristic
350C2×C4⋊Dic3C2311yescharacteristic
351C2×C4⋊Dic3C2311yescharacteristic
352C2×Dic3⋊C4C2311yescharacteristic
353C2×Dic3⋊C4C2311yescharacteristic
354C2×Dic3⋊C4C2311yescharacteristic
355C2×Dic3⋊C4C2311yescharacteristic
356C2×Dic3⋊C4C2311yescharacteristic
357C2×Dic3⋊C4C2311yescharacteristic
358C2×Dic3⋊C4C2311yescharacteristic
359C2×Dic3⋊C4C2311yescharacteristic
360C2×C4×Dic3C2311yescharacteristic
361C2×C4×Dic3C2311yescharacteristic
362C2×C4×Dic3C2311yescharacteristic
363C2×C4×Dic3C2311yescharacteristic
364C2×C4×Dic3C2311yescharacteristic
365C2×C4×Dic3C2311yescharacteristic
366C2×C4×Dic3C2311yescharacteristic
367C2×C4×Dic3C2311yescharacteristic
368#897—42no—
369#886—24no—
370#886—24no—
371#886—24no—
372#886—42no—
373#885—24no—
374#885—24no—
375#884—24no—
376#883—24no—
377#883—24no—
378#67⋊C4—24no—
379#67⋊C4—24no—
380#67⋊C4D418yescomplemented
381#878—24no—
382#878—24no—
383#877—24no—
384C4×D12—24no—
385C4×Dic6—24no—
386C3×#95C2311yescharacteristic
387C3×#95C2311yescharacteristic
388C3×#95C2311yescharacteristic
389C3×#95C2311yescharacteristic
390C3⋊#95C2311yescharacteristic
391C3⋊#95C2311yescharacteristic
392C3⋊#95C2311yescharacteristic
393C3⋊#95C2311yescharacteristic
394C3⋊#95C2311yescharacteristic
395C3⋊#95C2311yescharacteristic
396C3⋊#95C2311yescharacteristic
397C3⋊#95C2311yescharacteristic
398C3⋊#95C2311yescharacteristic
399C3⋊#95C2311yescharacteristic
400C3⋊#95C2311yescharacteristic
401C3⋊#95C2311yescharacteristic
402C3⋊#95C2311yescharacteristic
403C3⋊#95C2311yescharacteristic
404C3⋊#95C2311yescharacteristic
405C3⋊#95C2311yescharacteristic
406C3⋊#95C2311yescharacteristic
407C3⋊#95C2311yescharacteristic
408C3⋊#95C2311yescharacteristic
409C3⋊#95C2311yescharacteristic
410C3⋊#95C2311yescharacteristic
411C3⋊#95C2311yescharacteristic
412C3⋊#95C2311yescharacteristic
413C3⋊#95C2311yescharacteristic
414C3⋊#95C2311yescharacteristic
415C3⋊#95C2311yescharacteristic
416C3⋊#95C2311yescharacteristic
417C3⋊#95C2311yescharacteristic
418C3⋊#95C2311yescharacteristic
419C3⋊#95C2311yescharacteristic
420C22×#41—31no—
421C24×C4—31no—
422#559—68no—
423C2×#127—31no—
424C2×#124—31no—
425C2×#124—31no—
426C2×#124—31no—
427C2×#124C2×D311yescharacteristic
428C2×#124C2×D311yescharacteristic
429#525—68no—
430C2×#123—31no—
431C2×#123—31no—
432C2×#123—31no—
433C2×#123—31no—
434C2×#123—31no—
435C2×#123—31no—
436C2×#123—31no—
437C2×C22⋊Q8—31no—
438C2×C22⋊Q8—31no—
439C2×C22⋊Q8—31no—
440C2×#121—31no—
441C2×#121—31no—
442C2×#121—31no—
443C2×#121—31no—
444C2×#121—31no—
445C2×#121—31no—
446C2×#120—31no—
447C2×#120—31no—
448C2×#120C2×D311yescharacteristic
449C2×#120C2×D311yescharacteristic
450C2×C4×Q8—31no—
451C2×C4×Q8—31no—
452C2×C4×D4—31no—
453C2×C4×D4—31no—
454C2×C4×D4—31no—
455C2×C4×D4—31no—
456C2×C4×D4—31no—
457C2×C4×D4—31no—
458C2×C4×D4—31no—
459C2×C4×D4—31no—
460C2×C4×D4—31no—
461C2×#117—31no—
462#398—31no—
463#398—31no—
464#397—31no—
465#397—31no—
466#397—31no—
467#397—31no—
468#397—31no—
469#397—31no—
470#396—31no—
471#396—31no—
472#395—31no—
473#395—31no—
474#395—31no—
475#394—31no—
476#394—31no—
477#394—31no—
478#394—31no—
479#394—31no—
480#394—31no—
481#394—31no—
482#394—31no—
483#394—31no—
484#394C2×D311yescharacteristic
485#394C2×D311yescharacteristic
486#393—31no—
487#393—31no—
488#393—31no—
489#393—31no—
490#393C2×D311yescharacteristic
491#392—31no—
492#392—31no—
493#392—31no—
494#392—31no—
495#392—31no—
496#392—31no—
497#392—31no—
498#392—31no—
499#392C2×D311yescharacteristic
500#392C2×D311yescharacteristic
501#392C2×D311yescharacteristic
502#391—31no—
503#391—31no—
504#390—31no—
505#390—31no—
506#390—31no—
507#390C2×D311yescharacteristic
508#390C2×D311yescharacteristic
509#389—31no—
510#388—31no—
511#388—31no—
512#388—31no—
513#388—31no—
514#388—31no—
515#388—31no—
516#388—31no—
517#388—31no—
518#388—31no—
519#388—31no—
520#388—31no—
521#388—31no—
522#388—31no—
523#388—31no—
524#388C2×D311yescharacteristic
525#388C2×D311yescharacteristic
526#387—31no—
527#387—31no—
528#387—31no—
529#387—31no—
530#387—31no—
531#387—31no—
532#387—31no—
533#387—31no—
534#386—31no—
535#386—31no—
536#386—31no—
537#386—31no—
538#386—31no—
539#386—31no—
540#386—31no—
541#386—31no—
542#386—31no—
543#386—31no—
544#386—31no—
545#386—31no—
546#386—31no—
547#386—31no—
548#386—31no—
549#386—31no—
550#386—31no—
551#385—31no—
552#385—31no—
553#385—31no—
554#385—31no—
555#385—31no—
556#385—31no—
557#385—31no—
558#385—31no—
559#385—31no—
560#385—31no—
561#385—31no—
562#384—31no—
563#383—31no—
564#381—31no—
565#381—31no—
566#380—31no—
567#380—31no—
568#379—31no—
569#379C2×D311yescharacteristic
570C4×C22⋊C4—31no—
571C4×C22⋊C4—31no—
572C4×C22⋊C4—31no—
573C4×C22⋊C4—31no—
574C4×C22⋊C4—31no—
575#376—31no—
576C2×#95—31no—
577C24×C3—22no—
578C24×C3—22no—
579C24×C3—22no—
580C24×C3—41no—
581C24×C3—41no—
582C24×C3—41no—
583C24×C3—41no—
584C24×C3C2411yescharacteristic
585C24×C3C2411yescharacteristic
586C24×C3C2411yescharacteristic
587C24×C3C2411yescharacteristic
588C24×C3C2411yescharacteristic
589C23×D3C2411yescharacteristic
590C23×D3C2411yescharacteristic
591C2×C3×Q8—22no—
592C2×C3×Q8—22no—
593C2×C3×Q8—41no—
594C2×C3×D4—22no—
595C2×C3×D4—22no—
596C2×C3×D4—22no—
597C2×C3×D4—22no—
598C2×C3×D4—22no—
599C2×C3×D4—22no—
600C2×C3×D4—22no—
601C2×C3×D4—22no—
602C2×C3×D4—22no—
603C2×C3×D4—22no—
604C2×C3×D4—41no—
605C2×C3×D4—41no—
606C2×C3×D4—41no—
607C2×C3×D4—41no—
608C2×C3×D4—41no—
609C2×C3×D4—41no—
610C2×C3×D4—41no—
611C2×C3×D4—41no—
612C2×C3×D4—41no—
613C2×C3×D4—41no—
614C2×C3×D4—41no—
615C22×C3×C4C2411yescharacteristic
616C22×C3×C4C2411yescharacteristic
617C22×C3×C4C2411yescharacteristic
618C22×C3×C4C2411yescharacteristic
619C22×C3×C4C2411yescharacteristic
620C22×C3×C4C2411yescharacteristic
621C22×C3×C4C2411yescharacteristic
622C22×C3×C4C2411yescharacteristic
623C22×C3×C4C2411yescharacteristic
624C22×C3×C4C2411yescharacteristic
625C2×#67—22no—
626C2×#67—22no—
627C2×#67—22no—
628C2×#67—22no—
629C2×#67—22no—
630C2×#67—22no—
631C2×#67—22no—
632C2×#67—22no—
633C2×#67—22no—
634C2×#67—22no—
635C2×#67—22no—
636C2×#67—41no—
637C2×#67—41no—
638C2×#67—41no—
639C2×#67—41no—
640C2×#67—41no—
641C2×#67—41no—
642C2×#67—41no—
643C2×#67—41no—
644C2×#67—41no—
645C2×#67—41no—
646C2×#67—41no—
647C2×#67—41no—
648C2×#67—41no—
649C2×#67—41no—
650C2×#67—41no—
651C2×#67—41no—
652C2×#67—41no—
653C2×#67—41no—
654C2×#67C2×D414yes—
655C22×Dic3—22no—
656C22×Dic3—22no—
657C22×Dic3—22no—
658C22×Dic3—22no—
659C22×Dic3—22no—
660C22×Dic3—22no—
661C22×Dic3—22no—
662C22×Dic3—22no—
663C22×Dic3—22no—
664C22×Dic3—22no—
665C22×Dic3—22no—
666C22×Dic3—22no—
667C22×Dic3—41no—
668C22×Dic3—41no—
669C22×Dic3—41no—
670C22×Dic3—41no—
671C22×Dic3—41no—
672C22×Dic3—41no—
673C22×Dic3—41no—
674C22×Dic3—41no—
675C22×Dic3—41no—
676C22×Dic3—41no—
677C22×Dic3—41no—
678C22×Dic3—416no—
679C22×Dic3C2×D414yes—
680C22×Dic3C2411yescharacteristic
681C22×Dic3C2411yescharacteristic
682C22×Dic3C2411yescharacteristic
683C22×Dic3C2411yescharacteristic
684C22×Dic3C2411yescharacteristic
685C22×Dic3C2411yescharacteristic
686C22×Dic3C2411yescharacteristic
687C22×Dic3C2411yescharacteristic
688C22×Dic3C2411yescharacteristic
689C22×Dic3C2411yescharacteristic
690C22×Dic3C2411yescharacteristic
691C22×Dic3C2411yescharacteristic
692C22×Dic3C2411yescharacteristic
693C22×Dic3C2411yescharacteristic
694#237—416no—
695C2×D12—22no—
696C2×D12—22no—
697C2×D12—41no—
698C2×C4×D3—22no—
699C2×C4×D3—22no—
700C2×C4×D3—41no—
701C2×C4×D3—41no—
702C2×C4×D3—41no—
703C2×C4×D3—41no—
704C2×C4×D3—41no—
705C2×C4×D3—41no—
706C2×C4×D3—41no—
707C2×C4×D3—41no—
708C2×C4×D3—41no—
709C2×C4×D3C2×D414yes—
710C2×Dic6—22no—
711C2×Dic6—22no—
712C2×Dic6—22no—
713C2×Dic6—41no—
714C2×Dic6—41no—
715C2×Dic6—41no—
716C3×C4⋊C4—41no—
717C3×C4⋊C4—41no—
718C3×C22⋊C4—22no—
719C3×C22⋊C4—22no—
720C3×C22⋊C4—22no—
721C3×C22⋊C4—22no—
722C3×C22⋊C4—22no—
723C3×C22⋊C4—22no—
724C3×C22⋊C4—22no—
725C3×C22⋊C4—22no—
726C3×C22⋊C4—22no—
727C3×C22⋊C4—22no—
728C3×C22⋊C4—41no—
729C3×C22⋊C4—41no—
730C3×C22⋊C4—41no—
731C3×C22⋊C4—41no—
732C3×C22⋊C4—41no—
733C3×C22⋊C4—41no—
734C3×C22⋊C4C2×D414yes—
735C3×C22⋊C4#4114yescomplemented
736C3×C42—22no—
737C3×C42—22no—
738#217—22no—
739#217—22no—
740#217—22no—
741#217—22no—
742#217—22no—
743#217—22no—
744#217—22no—
745#217—22no—
746#217—22no—
747#217—22no—
748#217—41no—
749#217—41no—
750#217—41no—
751#217—41no—
752#217—41no—
753#217—41no—
754#217—41no—
755#217—41no—
756#217—41no—
757#217—41no—
758#217—41no—
759#217—41no—
760(C2×D3)⋊C4—22no—
761(C2×D3)⋊C4—22no—
762(C2×D3)⋊C4—22no—
763(C2×D3)⋊C4—22no—
764(C2×D3)⋊C4—22no—
765(C2×D3)⋊C4—22no—
766(C2×D3)⋊C4—22no—
767(C2×D3)⋊C4—22no—
768(C2×D3)⋊C4—41no—
769(C2×D3)⋊C4—41no—
770(C2×D3)⋊C4—41no—
771(C2×D3)⋊C4—41no—
772(C2×D3)⋊C4—41no—
773(C2×D3)⋊C4C2×D414yes—
774C4⋊Dic3—22no—
775C4⋊Dic3—22no—
776C4⋊Dic3—22no—
777C4⋊Dic3—22no—
778C4⋊Dic3—22no—
779C4⋊Dic3—22no—
780C4⋊Dic3—22no—
781C4⋊Dic3—22no—
782C4⋊Dic3—41no—
783C4⋊Dic3—41no—
784C4⋊Dic3—41no—
785C4⋊Dic3—41no—
786C4⋊Dic3—41no—
787Dic3⋊C4—22no—
788Dic3⋊C4—22no—
789Dic3⋊C4—22no—
790Dic3⋊C4—22no—
791Dic3⋊C4—22no—
792Dic3⋊C4—41no—
793Dic3⋊C4—41no—
794Dic3⋊C4C2×D414yes—
795C4×Dic3—22no—
796C4×Dic3—22no—
797C4×Dic3—22no—
798C4×Dic3—22no—
799C4×Dic3—41no—
800C4×Dic3—41no—
801C4×Dic3—41no—
802C4×Dic3C2×D414yes—
803C25C22×D311yescharacteristic
804C2×#41—64no—
805C2×#41—122no—
806C2×#41—122no—
807C22×Q8—31no—
808C22×Q8—31no—
809C22×Q8C22×D311yescharacteristic
810C22×D4—31no—
811C22×D4—31no—
812C22×D4—31no—
813C22×D4—31no—
814C22×D4—31no—
815C22×D4—31no—
816C22×D4—31no—
817C22×D4—31no—
818C22×D4—31no—
819C22×D4—31no—
820C22×D4—31no—
821C22×D4C22×D311yescharacteristic
822C22×D4C22×D311yescharacteristic
823C22×D4C22×D311yescharacteristic
824C22×D4C22×D311yescharacteristic
825C22×D4C22×D311yescharacteristic
826C22×D4C22×D311yescharacteristic
827C22×D4C22×D311yescharacteristic
828C23×C4—31no—
829C23×C4—31no—
830C23×C4—31no—
831C23×C4—31no—
832C23×C4—31no—
833C23×C4—31no—
834C23×C4—31no—
835C23×C4—31no—
836C23×C4—31no—
837C23×C4—31no—
838C23×C4—31no—
839C23×C4—31no—
840C23×C4—64no—
841C23×C4—122no—
842C23×C4—122no—
843#127—64no—
844#124—24no—
845#124—24no—
846#124—64no—
847#124—64no—
848#124—64no—
849#123—64no—
850#123—64no—
851#123—64no—
852#123—64no—
853#123—64no—
854#123—64no—
855#123—122no—
856C22⋊Q8—64no—
857C22⋊Q8—64no—
858C22⋊Q8—122no—
859#121—64no—
860#121—64no—
861#121—64no—
862#121—122no—
863#121—122no—
864#121—122no—
865#120—24no—
866#120—24no—
867#120—64no—
868#120—122no—
869C4×Q8—64no—
870C4×Q8—64no—
871C4×D4—38no—
872C4×D4—64no—
873C4×D4—64no—
874C4×D4—64no—
875C4×D4—64no—
876C4×D4—64no—
877C4×D4—64no—
878C4×D4—122no—
879C4×D4—122no—
880#117—64no—
881C2×C4⋊C4—31no—
882C2×C4⋊C4—31no—
883C2×C4⋊C4—31no—
884C2×C4⋊C4—31no—
885C2×C4⋊C4—31no—
886C2×C4⋊C4—31no—
887C2×C4⋊C4—31no—
888C2×C4⋊C4—31no—
889C2×C4⋊C4—31no—
890C2×C4⋊C4—31no—
891C2×C4⋊C4—31no—
892C2×C4⋊C4—31no—
893C2×C4⋊C4—31no—
894C2×C4⋊C4—31no—
895C2×C4⋊C4—31no—
896C2×C4⋊C4—31no—
897C2×C4⋊C4—31no—
898C2×C4⋊C4—31no—
899C2×C4⋊C4—31no—
900C2×C4⋊C4—31no—
901C2×C4⋊C4—31no—
902C2×C4⋊C4C22×D311yescharacteristic
903C2×C4⋊C4C22×D311yescharacteristic
904C2×C22⋊C4—31no—
905C2×C22⋊C4—31no—
906C2×C22⋊C4—31no—
907C2×C22⋊C4—31no—
908C2×C22⋊C4—31no—
909C2×C22⋊C4—31no—
910C2×C22⋊C4—31no—
911C2×C22⋊C4—31no—
912C2×C22⋊C4—31no—
913C2×C22⋊C4—31no—
914C2×C22⋊C4—31no—
915C2×C22⋊C4—31no—
916C2×C22⋊C4—31no—
917C2×C22⋊C4—31no—
918C2×C22⋊C4—31no—
919C2×C22⋊C4—31no—
920C2×C22⋊C4—31no—
921C2×C22⋊C4—31no—
922C2×C22⋊C4—31no—
923C2×C22⋊C4—31no—
924C2×C22⋊C4—31no—
925C2×C22⋊C4—31no—
926C2×C22⋊C4—31no—
927C2×C22⋊C4—31no—
928C2×C22⋊C4—31no—
929C2×C22⋊C4—31no—
930C2×C22⋊C4—31no—
931C2×C22⋊C4—31no—
932C2×C22⋊C4—31no—
933C2×C22⋊C4—31no—
934C2×C22⋊C4—31no—
935C2×C22⋊C4—31no—
936C2×C22⋊C4—31no—
937C2×C22⋊C4—31no—
938C2×C22⋊C4—31no—
939C2×C22⋊C4—31no—
940C2×C22⋊C4C22×D311yescharacteristic
941C2×C22⋊C4C22×D311yescharacteristic
942C2×C22⋊C4C22×D311yescharacteristic
943C2×C22⋊C4C22×D311yescharacteristic
944C2×C22⋊C4C22×D311yescharacteristic
945C2×C22⋊C4C22×D311yescharacteristic
946C2×C22⋊C4C22×D311yescharacteristic
947C2×C22⋊C4C22×D311yescharacteristic
948C2×C22⋊C4C22×D311yescharacteristic
949C2×C22⋊C4C22×D311yescharacteristic
950C2×C22⋊C4C22×D311yescharacteristic
951C2×C22⋊C4C22×D311yescharacteristic
952C2×C22⋊C4C22×D311yescharacteristic
953C2×C22⋊C4C22×D311yescharacteristic
954C2×C22⋊C4C22×D311yescharacteristic
955C2×C22⋊C4C22×D311yescharacteristic
956C2×C22⋊C4C22×D311yescharacteristic
957C2×C22⋊C4C22×D311yescharacteristic
958C2×C42—31no—
959C2×C42—31no—
960C2×C42—31no—
961C2×C42—31no—
962C2×C42—31no—
963C2×C42—31no—
964C2×C42—31no—
965C2×C42—31no—
966C2×C42C22×D311yescharacteristic
967C2×C42C22×D311yescharacteristic
968#95—31no—
969#95—31no—
970#95—31no—
971#95—31no—
972#95—31no—
973#95—31no—
974#95—31no—
975#95—31no—
976#95—31no—
977#95—31no—
978#95—31no—
979#95—31no—
980#95—31no—
981#95—31no—
982#95—31no—
983#95—31no—
984#95—31no—
985#95—31no—
986#95—31no—
987#95—31no—
988#95—31no—
989#95—31no—
990#95—31no—
991#95—31no—
992#95—31no—
993#95—31no—
994#95—31no—
995#95—31no—
996#95—31no—
997#95—31no—
998#95C22×D311yescharacteristic
999#95C22×D311yescharacteristic
1000#95C22×D311yescharacteristic
1001#95C22×D311yescharacteristic
1002C23×C3—21no—
1003C23×C3—21no—
1004C23×C3—21no—
1005C23×C3—21no—
1006C23×C3—21no—
1007C23×C3—21no—
1008C23×C3—21no—
1009C23×C3—21no—
1010C23×C3—21no—
1011C23×C3—21no—
1012C23×C3—21no—
1013C23×C3—21no—
1014C23×C3—21no—
1015C23×C3—21no—
1016C23×C3—21no—
1017C23×C3—21no—
1018C23×C3—21no—
1019C23×C3—21no—
1020C23×C3—21no—
1021C23×C3—21no—
1022C23×C3—21no—
1023C23×C3—21no—
1024C23×C3—21no—
1025C23×C3—21no—
1026C23×C3—21no—
1027C23×C3—21no—
1028C23×C3—21no—
1029C23×C3—21no—
1030C23×C3—21no—
1031C23×C3—21no—
1032C23×C3—21no—
1033C23×C3—21no—
1034C23×C3—44no—
1035C23×C3—44no—
1036C23×C3—44no—
1037C23×C3—44no—
1038C23×C3—44no—
1039C23×C3—44no—
1040C23×C3—44no—
1041C23×C3C22×D412yes—
1042C23×C3C2×#4112yes—
1043C23×C3H(5,𝔽2)12yes—
1044C23×C3C2511yescharacteristic
1045C22×D3—21no—
1046C22×D3—21no—
1047C22×D3—21no—
1048C22×D3—21no—
1049C22×D3—21no—
1050C22×D3—21no—
1051C22×D3—21no—
1052C22×D3—21no—
1053C22×D3—21no—
1054C22×D3—21no—
1055C22×D3—21no—
1056C22×D3—21no—
1057C22×D3—21no—
1058C22×D3C22×D412yes—
1059C3×Q8—44no—
1060C3×D4—44no—
1061C3×D4—44no—
1062C3×D4—44no—
1063C3×D4—44no—
1064C3×D4—44no—
1065C3×D4—44no—
1066C3×D4—82no—
1067C2×C3×C4—21no—
1068C2×C3×C4—21no—
1069C2×C3×C4—21no—
1070C2×C3×C4—21no—
1071C2×C3×C4—21no—
1072C2×C3×C4—21no—
1073C2×C3×C4—21no—
1074C2×C3×C4—21no—
1075C2×C3×C4—21no—
1076C2×C3×C4—21no—
1077C2×C3×C4—21no—
1078C2×C3×C4—21no—
1079C2×C3×C4—21no—
1080C2×C3×C4—21no—
1081C2×C3×C4—21no—
1082C2×C3×C4—21no—
1083C2×C3×C4—21no—
1084C2×C3×C4—21no—
1085C2×C3×C4—21no—
1086C2×C3×C4—21no—
1087C2×C3×C4—21no—
1088C2×C3×C4—21no—
1089C2×C3×C4—21no—
1090C2×C3×C4—21no—
1091C2×C3×C4—21no—
1092C2×C3×C4—21no—
1093C2×C3×C4C22×D412yes—
1094C2×C3×C4C22×D412yes—
1095C2×C3×C4C2×#4112yes—
1096C2×C3×C4C2×#4112yes—
1097#67—44no—
1098#67—44no—
1099#67—44no—
1100#67—44no—
1101#67—44no—
1102#67—82no—
1103#67—82no—
1104#67—82no—
1105#67—82no—
1106#67—82no—
1107C2×Dic3—28no—
1108C2×Dic3—21no—
1109C2×Dic3—21no—
1110C2×Dic3—21no—
1111C2×Dic3—21no—
1112C2×Dic3—21no—
1113C2×Dic3—21no—
1114C2×Dic3—21no—
1115C2×Dic3—21no—
1116C2×Dic3—21no—
1117C2×Dic3—21no—
1118C2×Dic3—21no—
1119C2×Dic3—21no—
1120C2×Dic3—21no—
1121C2×Dic3—21no—
1122C2×Dic3—21no—
1123C2×Dic3—21no—
1124C2×Dic3—21no—
1125C2×Dic3—21no—
1126C2×Dic3—21no—
1127C2×Dic3—21no—
1128C2×Dic3—21no—
1129C2×Dic3—21no—
1130C2×Dic3—21no—
1131C2×Dic3—21no—
1132C2×Dic3—21no—
1133C2×Dic3—21no—
1134C2×Dic3—21no—
1135C2×Dic3—21no—
1136C2×Dic3—21no—
1137C2×Dic3—21no—
1138C2×Dic3—21no—
1139C2×Dic3—21no—
1140C2×Dic3—21no—
1141C2×Dic3—21no—
1142C2×Dic3—21no—
1143C2×Dic3—21no—
1144C2×Dic3—21no—
1145C2×Dic3—21no—
1146C2×Dic3—44no—
1147C2×Dic3—44no—
1148C2×Dic3—44no—
1149C2×Dic3—44no—
1150C2×Dic3—44no—
1151C2×Dic3—44no—
1152C2×Dic3—82no—
1153C2×Dic3C22×D412yes—
1154C2×Dic3C22×D412yes—
1155C2×Dic3C22×D412yes—
1156C2×Dic3H(5,𝔽2)12yes—
1157D12—44no—
1158C4×D3—44no—
1159C4×D3—82no—
1160C4×D3—82no—
1161C4×D3—82no—
1162Dic6—44no—
1163Dic6—44no—
1164C24—22no—
1165C24—22no—
1166C24—22no—
1167C24—31no—
1168C24—31no—
1169C24—41no—
1170C24—41no—
1171C24—41no—
1172C24—41no—
1173C24C23×D311yescharacteristic
1174C24C23×D311yescharacteristic
1175C24C23×D311yescharacteristic
1176C24C23×D311yescharacteristic
1177C24C23×D311yescharacteristic
1178#41—1216no—
1179C2×Q8—22no—
1180C2×Q8—22no—
1181C2×Q8—41no—
1182C2×Q8—62no—
1183C2×Q8—62no—
1184C2×Q8—62no—
1185C2×Q8—121no—
1186C2×Q8—121no—
1187C2×Q8—121no—
1188C2×D4—22no—
1189C2×D4—22no—
1190C2×D4—22no—
1191C2×D4—22no—
1192C2×D4—22no—
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—22no—
1197C2×D4—22no—
1198C2×D4—34no—
1199C2×D4—41no—
1200C2×D4—41no—
1201C2×D4—41no—
1202C2×D4—41no—
1203C2×D4—41no—
1204C2×D4—41no—
1205C2×D4—41no—
1206C2×D4—41no—
1207C2×D4—41no—
1208C2×D4—41no—
1209C2×D4—41no—
1210C2×D4—62no—
1211C2×D4—62no—
1212C2×D4—62no—
1213C2×D4—62no—
1214C2×D4—62no—
1215C2×D4—62no—
1216C2×D4—62no—
1217C2×D4—62no—
1218C2×D4—62no—
1219C2×D4—62no—
1220C2×D4—62no—
1221C2×D4—62no—
1222C2×D4—62no—
1223C2×D4—121no—
1224C2×D4—121no—
1225C2×D4—121no—
1226C2×D4—121no—
1227C2×D4—121no—
1228C2×D4—121no—
1229C2×D4—121no—
1230C2×D4—121no—
1231C2×D4—121no—
1232C2×D4—121no—
1233C2×D4—121no—
1234C2×D4—121no—
1235C2×D4—121no—
1236C2×D4—121no—
1237C2×D4—121no—
1238C2×D4—121no—
1239C2×D4—121no—
1240C2×D4—121no—
1241C2×D4—121no—
1242C22×C4—31no—
1243C22×C4—31no—
1244C22×C4—31no—
1245C22×C4—31no—
1246C22×C4—34no—
1247C22×C4—34no—
1248C22×C4—31no—
1249C22×C4—31no—
1250C22×C4—31no—
1251C22×C4—31no—
1252C22×C4—31no—
1253C22×C4—31no—
1254C22×C4—31no—
1255C22×C4—31no—
1256C22×C4—31no—
1257C22×C4—31no—
1258C22×C4—62no—
1259C22×C4—62no—
1260C22×C4—62no—
1261C22×C4—62no—
1262C22×C4—62no—
1263C22×C4—62no—
1264C22×C4—62no—
1265C22×C4—62no—
1266C22×C4—62no—
1267C22×C4—62no—
1268C22×C4—62no—
1269C22×C4—62no—
1270C22×C4—62no—
1271C22×C4—62no—
1272C22×C4—121no—
1273C22×C4—121no—
1274C22×C4—121no—
1275C22×C4—121no—
1276C22×C4—121no—
1277C22×C4—121no—
1278C22×C4—121no—
1279C22×C4—121no—
1280C22×C4—121no—
1281C22×C4—121no—
1282C22×C4—121no—
1283C22×C4—121no—
1284C22×C4—121no—
1285C22×C4—121no—
1286C22×C4—121no—
1287C22×C4—121no—
1288C22×C4—121no—
1289C22×C4—121no—
1290C22×C4—121no—
1291C22×C4—121no—
1292C22×C4—1216no—
1293C22×C4C23×D311yescharacteristic
1294C22×C4C23×D311yescharacteristic
1295C22×C4C23×D311yescharacteristic
1296C22×C4C23×D311yescharacteristic
1297C22×C4C23×D311yescharacteristic
1298C22×C4C23×D311yescharacteristic
1299C22×C4C23×D311yescharacteristic
1300C22×C4C23×D311yescharacteristic
1301C22×C4C23×D311yescharacteristic
1302C22×C4C23×D311yescharacteristic
1303C4⋊C4—34no—
1304C4⋊C4—41no—
1305C4⋊C4—41no—
1306C4⋊C4—62no—
1307C4⋊C4—62no—
1308C4⋊C4—62no—
1309C4⋊C4—62no—
1310C4⋊C4—62no—
1311C4⋊C4—62no—
1312C4⋊C4—62no—
1313C4⋊C4—62no—
1314C4⋊C4—62no—
1315C4⋊C4—62no—
1316C4⋊C4—62no—
1317C4⋊C4—62no—
1318C4⋊C4—62no—
1319C4⋊C4—121no—
1320C4⋊C4—121no—
1321C4⋊C4—121no—
1322C4⋊C4—121no—
1323C4⋊C4—121no—
1324C4⋊C4—121no—
1325C4⋊C4—121no—
1326C22⋊C4—22no—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—34no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—62no—
1344C22⋊C4—62no—
1345C22⋊C4—62no—
1346C22⋊C4—62no—
1347C22⋊C4—62no—
1348C22⋊C4—62no—
1349C22⋊C4—62no—
1350C22⋊C4—62no—
1351C22⋊C4—62no—
1352C22⋊C4—62no—
1353C22⋊C4—62no—
1354C22⋊C4—62no—
1355C22⋊C4—62no—
1356C22⋊C4—62no—
1357C22⋊C4—62no—
1358C22⋊C4—62no—
1359C22⋊C4—62no—
1360C22⋊C4—62no—
1361C22⋊C4—121no—
1362C22⋊C4—121no—
1363C22⋊C4—121no—
1364C22⋊C4—121no—
1365C22⋊C4—121no—
1366C22⋊C4—121no—
1367C22⋊C4—121no—
1368C22⋊C4—121no—
1369C22⋊C4—121no—
1370C22⋊C4—121no—
1371C22⋊C4—121no—
1372C22⋊C4—121no—
1373C22⋊C4—121no—
1374C22⋊C4—121no—
1375C22⋊C4—121no—
1376C22⋊C4—121no—
1377C22⋊C4—121no—
1378C22⋊C4D3×D414yes—
1379C22⋊C4#23714yescomplemented
1380C42—22no—
1381C42—22no—
1382C42—34no—
1383C42—62no—
1384C42—62no—
1385C42—62no—
1386C42—62no—
1387C42—121no—
1388C42—121no—
1389C42—121no—
1390C22×C3—22no—
1391C22×C3—22no—
1392C22×C3—22no—
1393C22×C3—22no—
1394C22×C3—22no—
1395C22×C3—22no—
1396C22×C3—22no—
1397C22×C3—22no—
1398C22×C3—22no—
1399C22×C3—416no—
1400C22×C3—41no—
1401C22×C3—41no—
1402C22×C3—41no—
1403C22×C3—41no—
1404C22×C3—41no—
1405C22×C3—41no—
1406C22×C3—41no—
1407C22×C3—41no—
1408C22×C3—41no—
1409C22×C3—41no—
1410C22×C3—41no—
1411C22×C3—41no—
1412C22×C3—41no—
1413C22×C3—41no—
1414C22×C3—41no—
1415C22×C3—41no—
1416C22×C3—41no—
1417C22×C3—41no—
1418C22×C3—41no—
1419C22×C3—41no—
1420C22×C3—41no—
1421C22×C3—41no—
1422C22×C3—41no—
1423C22×C3—41no—
1424C22×C3—41no—
1425C22×C3—41no—
1426C22×C3C23×D411yescharacteristic
1427C22×C3C22×#4111yescharacteristic
1428C22×C3C2×H(5,𝔽2)11yescharacteristic
1429C22×C3C2×H(5,𝔽2)11yescharacteristic
1430C22×C3#58511yescharacteristic
1431C22×C3#58511yescharacteristic
1432C22×C3#58511yescharacteristic
1433C2×D3—22no—
1434C2×D3—22no—
1435C2×D3—22no—
1436C2×D3—41no—
1437C2×D3—41no—
1438C2×D3—41no—
1439C2×D3—41no—
1440C2×D3—41no—
1441C2×D3—41no—
1442C2×D3—41no—
1443C2×D3—41no—
1444C2×D3—41no—
1445C2×D3—41no—
1446C2×D3—41no—
1447C3×C4—22no—
1448C3×C4—22no—
1449C3×C4—22no—
1450C3×C4—22no—
1451C3×C4—41no—
1452C3×C4—41no—
1453C3×C4—41no—
1454C3×C4—41no—
1455C3×C4—41no—
1456C3×C4—41no—
1457Dic3—22no—
1458Dic3—22no—
1459Dic3—22no—
1460Dic3—22no—
1461Dic3—41no—
1462Dic3—41no—
1463Dic3—41no—
1464Dic3—41no—
1465Dic3—41no—
1466Dic3—41no—
1467Dic3—41no—
1468Dic3—41no—
1469Dic3—41no—
1470Dic3—41no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—32no—
1504C23—44no—
1505C23—44no—
1506C23—44no—
1507C23—44no—
1508C23—44no—
1509C23—44no—
1510C23—44no—
1511C23—61no—
1512C23—61no—
1513C23—61no—
1514C23—61no—
1515C23—61no—
1516C23—61no—
1517C23—61no—
1518C23—61no—
1519C23—61no—
1520C23—61no—
1521C23—61no—
1522C23—61no—
1523C23—61no—
1524C23C2×D3×D412yes—
1525C23C2×#23712yes—
1526C23#100912yes—
1527C23C24×D311yescharacteristic
1528Q8—44no—
1529Q8—124no—
1530Q8—124no—
1531D4—44no—
1532D4—44no—
1533D4—44no—
1534D4—44no—
1535D4—44no—
1536D4—44no—
1537D4—82no—
1538D4—124no—
1539D4—124no—
1540D4—124no—
1541D4—124no—
1542D4—124no—
1543D4—124no—
1544D4—242no—
1545D4—242no—
1546D4—242no—
1547D4—242no—
1548D4—242no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—32no—
1576C2×C4—32no—
1577C2×C4—32no—
1578C2×C4—32no—
1579C2×C4—68no—
1580C2×C4—61no—
1581C2×C4—61no—
1582C2×C4—61no—
1583C2×C4—61no—
1584C2×C4—61no—
1585C2×C4—61no—
1586C2×C4—61no—
1587C2×C4—61no—
1588C2×C4—61no—
1589C2×C4—61no—
1590C2×C4—61no—
1591C2×C4—61no—
1592C2×C4—61no—
1593C2×C4—61no—
1594C2×C4—61no—
1595C2×C4—61no—
1596C2×C4—61no—
1597C2×C4—61no—
1598C2×C4—61no—
1599C2×C4—61no—
1600C2×C4—61no—
1601C2×C4—61no—
1602C2×C4—61no—
1603C2×C4—61no—
1604C2×C4—61no—
1605C2×C4—61no—
1606C2×C4—61no—
1607C2×C4—61no—
1608C2×C4—61no—
1609C2×C4—61no—
1610C2×C4—61no—
1611C2×C4—61no—
1612C2×C4—61no—
1613C2×C4—61no—
1614C2×C4—61no—
1615C2×C4—61no—
1616C2×C4—61no—
1617C2×C4—61no—
1618C2×C4—124no—
1619C2×C4—124no—
1620C2×C4—124no—
1621C2×C4—124no—
1622C2×C4—124no—
1623C2×C4—124no—
1624C2×C4—124no—
1625C2×C4—242no—
1626C2×C4—242no—
1627C2×C4—242no—
1628C2×C4—242no—
1629C2×C4C2×D3×D412yes—
1630C2×C4C2×D3×D412yes—
1631C2×C4C2×#23712yes—
1632C2×C4C2×#23712yes—
1633C2×C3—42no—
1634C2×C3—42no—
1635C2×C3—42no—
1636C2×C3—81no—
1637C2×C3—81no—
1638C2×C3#344911yescharacteristic
1639C2×C3D4×#4111yescharacteristic
1640C2×C3#348411yescharacteristic
1641C2×C3#350611yescharacteristic
1642C2×C3#351311yescharacteristic
1643C2×C3#353311yescharacteristic
1644C2×C3#354011yescharacteristic
1645D3—42no—
1646D3—81no—
1647C22—22no—
1648C22—22no—
1649C22—22no—
1650C22—22no—
1651C22—22no—
1652C22—22no—
1653C22—22no—
1654C22—22no—
1655C22—22no—
1656C22—416no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—62no—
1684C22—62no—
1685C22—62no—
1686C22—121no—
1687C22—121no—
1688C22—121no—
1689C22—121no—
1690C22—121no—
1691C22—121no—
1692C22—121no—
1693C22—121no—
1694C22—121no—
1695C22—121no—
1696C22—121no—
1697C22C22×D3×D411yescharacteristic
1698C22C22×#23711yescharacteristic
1699C22C2×#100911yescharacteristic
1700C22D3×H(5,𝔽2)11yescharacteristic
1701C22#596611yescharacteristic
1702C22#596611yescharacteristic
1703C22#596611yescharacteristic
1704C4—22no—
1705C4—22no—
1706C4—22no—
1707C4—22no—
1708C4—41no—
1709C4—41no—
1710C4—41no—
1711C4—41no—
1712C4—41no—
1713C4—41no—
1714C4—62no—
1715C4—62no—
1716C4—62no—
1717C4—62no—
1718C4—121no—
1719C4—121no—
1720C4—121no—
1721C4—121no—
1722C4—121no—
1723C4—121no—
1724C4—121no—
1725C4—121no—
1726C4—121no—
1727C4—121no—
1728C3#3984511yescharacteristic, complemented, Sylow
1729C2—42no—
1730C2—42no—
1731C2—42no—
1732C2—81no—
1733C2—81no—
1734C2—122no—
1735C2—241no—
1736C2#8631311yescharacteristic
1737C2#8631811yescharacteristic
1738C2#8639411yescharacteristic
1739C2D4×#23711yescharacteristic
1740C2#8663411yescharacteristic
1741C2#8666211yescharacteristic
1742C2#8708611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2670C2
hypercenter#2670D3
hypocenterC3#39845
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2670

Complements

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

NH ≅ G/Ntype
1. C2×#5681C2semidirect
2. C2×#5586C2semidirect
3. C3×#2670C2semidirect
4. #82985C2semidirect
5. #82975C2semidirect
6. #82953C2semidirect
7. #82610C2semidirect
8. #82609C2semidirect
9. Dic3×#120C2semidirect
10. #77008C2semidirect
11. #76974C2semidirect
12. #76965C2semidirect
13. #76916C2semidirect
14. #76805C2semidirect
15. #76797C2semidirect
16. #76757C2semidirect
17. #76712C2semidirect
18. #76700C2semidirect
19. #76693C2semidirect
20. #76683C2semidirect
21. #76676C2semidirect
22. #76441C2semidirect
23. #76435C2semidirect
24. #76372C2semidirect
25. #76326C2semidirect
26. #75835C2semidirect
27. #75829C2semidirect
28. #75668C2semidirect
29. #75515C2semidirect
30. #73859C2semidirect
31. #73847C2semidirect
41. C2×#947C22semidirect
42. C2×Q8×Dic3C22semidirect
48. C2×#938C22semidirect
57. C2×#897C22semidirect
61. C2×#886C22semidirect
63. C2×#885C22semidirect
66. C2×#883C22semidirect
69. C2×#67⋊C4C22semidirect
73. C2×C4×D12C22semidirect
74. C2×C4×Dic6C22semidirect
87. #5230C22semidirect
88. #5229C22semidirect
94. #5223C22semidirect
102. #5220C22semidirect
103. #5220C22semidirect
104. #4990C22semidirect
105. #4987C22semidirect
106. #4987C22semidirect
107. #4984C22semidirect
108. #4981C22semidirect
109. #4979C22semidirect
110. #4978C22semidirect
113. #4961C22semidirect
114. #4961C22semidirect
116. #4960C22semidirect
118. #4959C22semidirect
123. #4958C22semidirect
125. #4957C22semidirect
131. #4956C22semidirect
134. #4953C22semidirect
139. #4951C22semidirect
140. #4951C22semidirect
141. #4951C22semidirect
149. #4950C22semidirect
150. #4950C22semidirect
151. #4950C22semidirect
153. #4948C22semidirect
156. #4947C22semidirect
157. #4947C22semidirect
160. #4945C22semidirect
161. #4945C22semidirect
162. #4945C22semidirect
168. #4940C22semidirect
169. C4×(C2×D3)⋊C4C22semidirect
170. #4935C22semidirect
171. #4933C22semidirect
172. #4932C22semidirect
173. #4929C22semidirect
174. #4675C22semidirect
175. #4674C22semidirect
176. #4670C22semidirect
177. #4668C22semidirect
178. #4666C22semidirect
179. #4665C22semidirect
180. D3×#95C22semidirect
181. #4661C22semidirect
182. #4656C22semidirect
183. #4655C22semidirect
184. #4655C22semidirect
185. #4655C22semidirect
186. #4655C22semidirect
187. #4654C22semidirect
188. #4654C22semidirect
189. #4651C22semidirect
199. #2670D3semidirect
380. #67⋊C4D4semidirect
735. C3×C22⋊C4#41semidirect
1379. C22⋊C4#237semidirect
1728. C3#39845semidirect

Maximal subgroups

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

subgroupindex
C2×#56812
C2×#55862
C3×#26702
#829852
#829752
#829532
#826102
#826092
Dic3×#1202
#770082
#769742
#769652
#769162
#768052
#767972
#767572
#767122
#767002
#766932
#766832
#766762
#764412
#764352
#763722
#763262
#758352
#758292
#756682
#755152
#738592
#738472
#398453