Finite Group Databasebeta

← #11044336

Subgroups — #11044336

Order 768.

2834 conjugacy classes of subgroups.

The subgroup lattice has 1846 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5591C211yesmaximal, characteristic, complemented
2C2×#5495C211yesmaximal, characteristic, complemented
3C3×#2410C211yesmaximal, characteristic, complemented
4#84052C211yesmaximal, characteristic, complemented
5C2×#5221C211yesmaximal, characteristic, complemented
6#82720C211yesmaximal, characteristic, complemented
7#82703C211yesmaximal, characteristic, complemented
8#82684C211yesmaximal, characteristic, complemented
9#82633C211yesmaximal, characteristic, complemented
10#82591C211yesmaximal, characteristic, complemented
11#82583C211yesmaximal, characteristic, complemented
12#82581C211yesmaximal, characteristic, complemented
13#82108C211yesmaximal, characteristic, complemented
14#77153C211yesmaximal, characteristic, complemented
15#77109C211yesmaximal, characteristic, complemented
16#77041C211yesmaximal, characteristic, complemented
17#76996C211yesmaximal, characteristic, complemented
18#76767C211yesmaximal, characteristic, complemented
19#76728C211yesmaximal, characteristic, complemented
20#76708C211yesmaximal, characteristic, complemented
21#76695C211yesmaximal, characteristic, complemented
22#74876C211yesmaximal, characteristic, complemented
23#74869C211yesmaximal, characteristic, complemented
24#74817C211yesmaximal, characteristic, complemented
25#74802C211yesmaximal, characteristic, complemented
26#74780C211yesmaximal, characteristic, complemented
27#74687C211yesmaximal, characteristic, complemented
28#74407C211yesmaximal, characteristic, complemented
29#74377C211yesmaximal, characteristic, complemented
30#73835C211yesmaximal, characteristic, complemented
31#73823C211yesmaximal, characteristic, complemented
32#38420—31nomaximal, Sylow
33C23×C3×D4C2211yescharacteristic
34C23×#67C2211yescharacteristic
35C22×#237C2211yescharacteristic
36C2×C3×#121C2211yescharacteristic
37C2×C3×#121C2211yescharacteristic, complemented
38C2×C3×#120C2211yescharacteristic
39C2×C3×#120C2211yescharacteristic, complemented
40C22×C3×C22⋊C4C2211yescharacteristic, complemented
41C2×#953C2211yescharacteristic
42C2×#953C2211yescharacteristic
43C22×#217C2211yescharacteristic
44C22×#217C2211yescharacteristic
45C22×#217C2211yescharacteristic, complemented
46C22×#217C2211yescharacteristic, complemented
47C2×#939C2211yescharacteristic
48C2×#939C2211yescharacteristic, complemented
49C2×#938C2211yescharacteristic, complemented
50C2×#937C2211yescharacteristic
51C2×#937C2211yescharacteristic
52C2×#937C2211yescharacteristic, complemented
53C2×#935C2211yescharacteristic, complemented
54C2×D4×Dic3C2211yescharacteristic, complemented
55C2×#929C2211yescharacteristic, complemented
56C2×C4×#67C2211yescharacteristic, complemented
57C2×#926C2211yescharacteristic, complemented
58C22×C4⋊Dic3C2211yescharacteristic, complemented
59C2×#924C2211yescharacteristic, complemented
60C22×C4×Dic3C2211yescharacteristic, complemented
61#5591—28no—
62C2×#892C2211yescharacteristic, complemented
63#5495—28no—
64C2×#886C2211yescharacteristic
65C2×#886C2211yescharacteristic
66C2×#886C2211yescharacteristic
67C2×#885C2211yescharacteristic, complemented
68C2×#885C2211yescharacteristic, complemented
69C2×#885C2211yescharacteristic, complemented
70C2×#883C2211yescharacteristic, complemented
71C2×#883C2211yescharacteristic, complemented
72C2×#67⋊C4C2211yescharacteristic
73C2×D3×C22⋊C4C2211yescharacteristic, complemented
74C2×#879C2211yescharacteristic, complemented
75C2×#879C2211yescharacteristic, complemented
76C2×#878C2211yescharacteristic, complemented
77C2×#878C2211yescharacteristic, complemented
78C2×#877C2211yescharacteristic, complemented
79C3×#394C2211yescharacteristic
80C3×#394C2211yescharacteristic, complemented
81C3×#392C2211yescharacteristic
82C3×#392C2211yescharacteristic, complemented
83C3×#386C2211yescharacteristic
84C3×#386C2211yescharacteristic, complemented
85C3×#386C2211yescharacteristic, complemented
86C3×#385C2211yescharacteristic, complemented
87C3×#379C2211yescharacteristic
88#5247C2211yescharacteristic
89#5223C2211yescharacteristic
90#5223C2211yescharacteristic
91#5223C2211yescharacteristic
92#5223C2211yescharacteristic
93#5223C2211yescharacteristic, complemented
94#5223C2211yescharacteristic, complemented
95#5223C2211yescharacteristic, complemented
96#5223C2211yescharacteristic, complemented
97#5222C2211yescharacteristic, complemented
98#5222C2211yescharacteristic, complemented
99#5221C2211yescharacteristic
100#5221C2211yescharacteristic
101#5221C2211yescharacteristic
102#5221C2211yescharacteristic
103#5221C2211yescharacteristic, complemented
104#5221C2211yescharacteristic, complemented
105#5221C2211yescharacteristic, complemented
106#5221C2211yescharacteristic, complemented
107#5221C2211yescharacteristic, complemented
108#5221C2211yescharacteristic, complemented
109#5221C2211yescharacteristic, complemented
110#5221C2211yescharacteristic, complemented
111#5220C2211yescharacteristic
112#5220C2211yescharacteristic
113#5220C2211yescharacteristic, complemented
114#5220C2211yescharacteristic, complemented
115#5220C2211yescharacteristic, complemented
116#5213C2211yescharacteristic
117#5213C2211yescharacteristic
118#5213C2211yescharacteristic, complemented
119#5213C2211yescharacteristic, complemented
120#5212C2211yescharacteristic, complemented
121#5212C2211yescharacteristic, complemented
122#4994C2211yescharacteristic, complemented
123#4994C2211yescharacteristic, complemented
124#4990C2211yescharacteristic, complemented
125#4984C2211yescharacteristic, complemented
126#4984C2211yescharacteristic, complemented
127#4978C2211yescharacteristic, complemented
128Dic3×C4⋊C4C2211yescharacteristic, complemented
129#4961C2211yescharacteristic, complemented
130#4961C2211yescharacteristic, complemented
131#4961C2211yescharacteristic, complemented
132#4961C2211yescharacteristic, complemented
133#4961C2211yescharacteristic, complemented
134#4961C2211yescharacteristic, complemented
135#4961C2211yescharacteristic, complemented
136#4961C2211yescharacteristic, complemented
137#4958C2211yescharacteristic
138#4958C2211yescharacteristic
139#4957C2211yescharacteristic, complemented
140#4957C2211yescharacteristic, complemented
141#4957C2211yescharacteristic, complemented
142#4956C2211yescharacteristic, complemented
143#4956C2211yescharacteristic, complemented
144#4955C2211yescharacteristic, complemented
145#4955C2211yescharacteristic, complemented
146#4953C2211yescharacteristic, complemented
147#4953C2211yescharacteristic, complemented
148#4952C2211yescharacteristic, complemented
149#4952C2211yescharacteristic, complemented
150#4951C2211yescharacteristic, complemented
151#4951C2211yescharacteristic, complemented
152#4951C2211yescharacteristic, complemented
153#4950C2211yescharacteristic, complemented
154#4950C2211yescharacteristic, complemented
155#4950C2211yescharacteristic, complemented
156#4950C2211yescharacteristic, complemented
157#4950C2211yescharacteristic, complemented
158#4949C2211yescharacteristic, complemented
159#4949C2211yescharacteristic, complemented
160#4948C2211yescharacteristic, complemented
161#4948C2211yescharacteristic, complemented
162#4947C2211yescharacteristic, complemented
163#4947C2211yescharacteristic, complemented
164#4947C2211yescharacteristic, complemented
165#4947C2211yescharacteristic, complemented
166#4944C2211yescharacteristic, complemented
167#4944C2211yescharacteristic, complemented
168#4944C2211yescharacteristic, complemented
169#4944C2211yescharacteristic, complemented
170#4944C2211yescharacteristic, complemented
171#4943C2211yescharacteristic, complemented
172#4943C2211yescharacteristic, complemented
173Dic3×C22⋊C4C2211yescharacteristic, complemented
174#4670C2211yescharacteristic, complemented
175#4670C2211yescharacteristic, complemented
176#4670C2211yescharacteristic, complemented
177#4670C2211yescharacteristic, complemented
178#4669C2211yescharacteristic, complemented
179#4668C2211yescharacteristic, complemented
180#4668C2211yescharacteristic, complemented
181#4666C2211yescharacteristic, complemented
182#4661C2211yescharacteristic, complemented
183#4661C2211yescharacteristic, complemented
184#4656C2211yescharacteristic, complemented
185#4656C2211yescharacteristic, complemented
186#4655C2211yescharacteristic, complemented
187#4650C2211yescharacteristic, complemented
188#4648C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#551—31no—
191C2×#546—31no—
192#2850—31no—
193#2723—31no—
194#2714—31no—
195#2710—31no—
196#2706—31no—
197#2692—31no—
198#2678—31no—
199#2676—31no—
200#2670—31no—
201#2662—31no—
202#2661—31no—
203#2610—31no—
204#2603—31no—
205#2561—31no—
206#2539—31no—
207#2414—31no—
208#2413—31no—
209#2412—31no—
210#2411—31no—
211#2411—31no—
212#2410D311yescharacteristic, complemented
213#2406—31no—
214#2405—31no—
215#2404—31no—
216#2403—31no—
217#2324—31no—
218#2321—31no—
219C2×#390—31no—
220#2290—31no—
221C25×C3C2311yescharacteristic
222C25×C3C2311yescharacteristic
223C24×D3C2311yescharacteristic
224C22×C3×D4—24no—
225C22×C3×D4—42no—
226C22×C3×D4—42no—
227C22×C3×D4C2311yescharacteristic
228C22×C3×D4C2311yescharacteristic
229C22×C3×D4C2311yescharacteristic
230C22×C3×D4C2311yescharacteristic
231C22×C3×D4C2311yescharacteristic
232C22×C3×D4C2311yescharacteristic
233C22×C3×D4C2311yescharacteristic
234C22×C3×D4C2311yescharacteristic
235C22×C3×D4C2311yescharacteristic
236C23×C3×C4C2311yescharacteristic
237C23×C3×C4C2311yescharacteristic
238C23×C3×C4C2311yescharacteristic
239C22×#67—24no—
240C22×#67—42no—
241C22×#67—42no—
242C22×#67C2311yescharacteristic
243C22×#67C2311yescharacteristic
244C22×#67C2311yescharacteristic
245C22×#67C2311yescharacteristic
246C22×#67C2311yescharacteristic
247C22×#67C2311yescharacteristic
248C22×#67C2311yescharacteristic
249C22×#67C2311yescharacteristic
250C22×#67C2311yescharacteristic
251C22×#67C2311yescharacteristic
252C23×Dic3C2311yescharacteristic
253C23×Dic3C2311yescharacteristic
254C23×Dic3C2311yescharacteristic
255C23×Dic3C2311yescharacteristic
256C23×Dic3C2311yescharacteristic
257C23×Dic3C2311yescharacteristic
258C2×#237—24no—
259C2×#237—42no—
260C2×#237—42no—
261C22×C4×D3C2311yescharacteristic
262C22×C4×D3C2311yescharacteristic
263C22×Dic6C2311yescharacteristic
264C22×Dic6C2311yescharacteristic
265C3×#121—24no—
266C3×#121—42no—
267C3×#120—24no—
268C3×#120—42no—
269C2×C3×C4⋊C4C2311yescharacteristic
270C2×C3×C4⋊C4C2311yescharacteristic
271C2×C3×C22⋊C4—24no—
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×C22⋊C4C2311yescharacteristic
286C2×C3×C22⋊C4C2311yescharacteristic
287#953—24no—
288#953—42no—
289C2×#217—24no—
290C2×#217—24no—
291C2×#217—42no—
292C2×#217—42no—
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
311C2×#217C2311yescharacteristic
312C2×#217C2311yescharacteristic
313C2×#217C2311yescharacteristic
314C2×#217C2311yescharacteristic
315C2×#217C2311yescharacteristic
316C2×#217C2311yescharacteristic
317C2×#217C2311yescharacteristic
318C2×#217C2311yescharacteristic
319C2×#217C2311yescharacteristic
320C2×#217C2311yescharacteristic
321C2×#217C2311yescharacteristic
322C2×#217C2311yescharacteristic
323C2×#217C2311yescharacteristic
324#939—24no—
325#939—24no—
326#938—24no—
327#937—24no—
328#937—24no—
329#937—42no—
330#935—42no—
331D4×Dic3—24no—
332#929—24no—
333C4×#67—24no—
334C2×(C2×D3)⋊C4C2311yescharacteristic
335C2×(C2×D3)⋊C4C2311yescharacteristic
336C2×(C2×D3)⋊C4C2311yescharacteristic
337C2×(C2×D3)⋊C4C2311yescharacteristic
338C2×(C2×D3)⋊C4C2311yescharacteristic
339C2×(C2×D3)⋊C4C2311yescharacteristic
340C2×(C2×D3)⋊C4C2311yescharacteristic
341C2×(C2×D3)⋊C4C2311yescharacteristic
342C2×(C2×D3)⋊C4C2311yescharacteristic
343C2×(C2×D3)⋊C4C2311yescharacteristic
344C2×(C2×D3)⋊C4C2311yescharacteristic
345C2×(C2×D3)⋊C4C2311yescharacteristic
346C2×(C2×D3)⋊C4C2311yescharacteristic
347C2×(C2×D3)⋊C4C2311yescharacteristic
348C2×(C2×D3)⋊C4C2311yescharacteristic
349C2×(C2×D3)⋊C4C2311yescharacteristic
350#926—24no—
351C2×C4⋊Dic3—42no—
352C2×C4⋊Dic3C2311yescharacteristic
353C2×C4⋊Dic3C2311yescharacteristic
354C2×C4⋊Dic3C2311yescharacteristic
355C2×C4⋊Dic3C2311yescharacteristic
356C2×C4⋊Dic3C2311yescharacteristic
357C2×C4⋊Dic3C2311yescharacteristic
358C2×C4⋊Dic3C2311yescharacteristic
359C2×C4⋊Dic3C2311yescharacteristic
360C2×C4⋊Dic3C2311yescharacteristic
361C2×C4⋊Dic3C2311yescharacteristic
362C2×C4⋊Dic3C2311yescharacteristic
363C2×C4⋊Dic3C2311yescharacteristic
364C2×C4⋊Dic3C2311yescharacteristic
365#924—24no—
366C2×Dic3⋊C4C2311yescharacteristic
367C2×Dic3⋊C4C2311yescharacteristic
368C2×Dic3⋊C4C2311yescharacteristic
369C2×Dic3⋊C4C2311yescharacteristic
370C2×Dic3⋊C4C2311yescharacteristic
371C2×Dic3⋊C4C2311yescharacteristic
372C2×Dic3⋊C4C2311yescharacteristic
373C2×Dic3⋊C4C2311yescharacteristic
374C2×C4×Dic3—42no—
375C2×C4×Dic3C2311yescharacteristic
376C2×C4×Dic3C2311yescharacteristic
377C2×C4×Dic3C2311yescharacteristic
378C2×C4×Dic3C2311yescharacteristic
379C2×C4×Dic3C2311yescharacteristic
380C2×C4×Dic3C2311yescharacteristic
381C2×C4×Dic3C2311yescharacteristic
382C2×C4×Dic3C2311yescharacteristic
383C2×C4×Dic3C2311yescharacteristic
384#892—42no—
385#886—24no—
386#886—24no—
387#886—42no—
388#885—24no—
389#885—24no—
390#885—42no—
391#883—24no—
392#883—24no—
393#67⋊C4D418yescomplemented
394D3×C22⋊C4—24no—
395#879—24no—
396#879—24no—
397#878—24no—
398#878—24no—
399#877—24no—
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
420C3⋊#95C2311yescharacteristic
421C3⋊#95C2311yescharacteristic
422C3⋊#95C2311yescharacteristic
423C3⋊#95C2311yescharacteristic
424C3⋊#95C2311yescharacteristic
425C3⋊#95C2311yescharacteristic
426C22×#41—31no—
427C23×D4—31no—
428C23×D4C2×D311yescharacteristic
429#551—68no—
430#546—68no—
431C2×#126—31no—
432C2×#126—31no—
433C2×#124—31no—
434C2×#124—31no—
435C2×#124—31no—
436C2×#123—31no—
437C2×#123—31no—
438C2×#123—31no—
439C2×#123—31no—
440C2×#123—31no—
441C2×#123—31no—
442C2×#123—31no—
443C2×C22⋊Q8—31no—
444C2×C22⋊Q8—31no—
445C2×C22⋊Q8—31no—
446C2×#121—31no—
447C2×#121—31no—
448C2×#121—31no—
449C2×#121C2×D311yescharacteristic
450C2×#121C2×D311yescharacteristic, complemented
451C2×#120—31no—
452C2×#120—31no—
453C2×#120—31no—
454C2×#120—31no—
455C2×#120—31no—
456C2×#120C2×D311yescharacteristic
457C2×#120C2×D311yescharacteristic, complemented
458C2×C4×D4—31no—
459C2×C4×D4—31no—
460C2×C4×D4—31no—
461C2×#117—31no—
462C2×#117—31no—
463C2×#117—31no—
464C22×C4⋊C4—31no—
465C22×C22⋊C4—31no—
466C22×C22⋊C4—31no—
467C22×C22⋊C4—31no—
468C22×C22⋊C4—31no—
469C22×C22⋊C4—31no—
470C22×C22⋊C4C2×D311yescharacteristic, complemented
471C22×C42—31no—
472#399—31no—
473#399—31no—
474#398—31no—
475#398—31no—
476#397—31no—
477#397—31no—
478#397—31no—
479#397—31no—
480#396—31no—
481#396—31no—
482#396—31no—
483#396—31no—
484#395—31no—
485#395—31no—
486#394—31no—
487#394—31no—
488#394—31no—
489#394—31no—
490#394—31no—
491#394—31no—
492#394—31no—
493#394—31no—
494#394—31no—
495#394—31no—
496#394C2×D311yescharacteristic
497#394C2×D311yescharacteristic, complemented
498#393—31no—
499#393—31no—
500#393—31no—
501#393—31no—
502#392—31no—
503#392—31no—
504#392—31no—
505#392—31no—
506#392—31no—
507#392—31no—
508#392—31no—
509#392—31no—
510#392C2×D311yescharacteristic
511#392C2×D311yescharacteristic, complemented
512#391—31no—
513#390—31no—
514#390—31no—
515#390—31no—
516#390—31no—
517#390—31no—
518#390—31no—
519#390—31no—
520#390—31no—
521#390—31no—
522#390—31no—
523#390—31no—
524#390—31no—
525#390—31no—
526#390—31no—
527#390—31no—
528#389—31no—
529#389—31no—
530#388—31no—
531#388—31no—
532#388—31no—
533#388—31no—
534#388—31no—
535#388—31no—
536#388—31no—
537#388—31no—
538#388—31no—
539#388—31no—
540#388—31no—
541#388—31no—
542#388—31no—
543#388—31no—
544#387—31no—
545#387—31no—
546#386—31no—
547#386—31no—
548#386—31no—
549#386—31no—
550#386—31no—
551#386—31no—
552#386—31no—
553#386—31no—
554#386—31no—
555#386—31no—
556#386—31no—
557#386—31no—
558#386—31no—
559#386C2×D311yescharacteristic
560#386C2×D311yescharacteristic, complemented
561#386C2×D311yescharacteristic, complemented
562#385—31no—
563#385—31no—
564#385—31no—
565#385—31no—
566#385—31no—
567#385—31no—
568#385—31no—
569#385C2×D311yescharacteristic, complemented
570#382—31no—
571#381—31no—
572#381—31no—
573#380—31no—
574#380—31no—
575#379—31no—
576#379—31no—
577#379—31no—
578#379C2×D311yescharacteristic
579C4×C4⋊C4—31no—
580C4×C22⋊C4—31no—
581C4×C22⋊C4—31no—
582#376—31no—
583C24×C3—22no—
584C24×C3—22no—
585C24×C3—22no—
586C24×C3—22no—
587C24×C3—22no—
588C24×C3—22no—
589C24×C3—22no—
590C24×C3—22no—
591C24×C3—41no—
592C24×C3—41no—
593C24×C3—41no—
594C24×C3—41no—
595C24×C3—41no—
596C24×C3—41no—
597C24×C3C2411yescharacteristic
598C24×C3C2411yescharacteristic
599C24×C3C2411yescharacteristic
600C24×C3C2411yescharacteristic
601C24×C3C2411yescharacteristic
602C24×C3C2411yescharacteristic
603C23×D3—22no—
604C23×D3—22no—
605C23×D3—41no—
606C23×D3—41no—
607C23×D3—41no—
608C23×D3—41no—
609C23×D3—41no—
610C23×D3C2411yescharacteristic
611C23×D3C2411yescharacteristic
612C2×C3×D4—22no—
613C2×C3×D4—22no—
614C2×C3×D4—22no—
615C2×C3×D4—22no—
616C2×C3×D4—22no—
617C2×C3×D4—22no—
618C2×C3×D4—22no—
619C2×C3×D4—22no—
620C2×C3×D4—22no—
621C2×C3×D4—22no—
622C2×C3×D4—22no—
623C2×C3×D4—22no—
624C2×C3×D4—41no—
625C2×C3×D4—41no—
626C2×C3×D4—41no—
627C2×C3×D4—41no—
628C2×C3×D4—41no—
629C2×C3×D4—41no—
630C2×C3×D4—41no—
631C2×C3×D4—416no—
632C2×C3×D4—41no—
633C2×C3×D4—41no—
634C2×C3×D4—41no—
635C2×C3×D4—41no—
636C2×C3×D4—41no—
637C2×C3×D4—41no—
638C2×C3×D4—41no—
639C2×C3×D4#4114yescomplemented
640C22×C3×C4—22no—
641C22×C3×C4—22no—
642C22×C3×C4—22no—
643C22×C3×C4—22no—
644C22×C3×C4—22no—
645C22×C3×C4—22no—
646C22×C3×C4—41no—
647C22×C3×C4—41no—
648C22×C3×C4—41no—
649C22×C3×C4C2411yescharacteristic
650C22×C3×C4C2411yescharacteristic
651C22×C3×C4C2411yescharacteristic
652C22×C3×C4C2411yescharacteristic
653C22×C3×C4C2411yescharacteristic
654C22×C3×C4C2411yescharacteristic
655C22×C3×C4C2411yescharacteristic
656C22×C3×C4C2411yescharacteristic
657C22×C3×C4C2411yescharacteristic
658C2×#67—22no—
659C2×#67—22no—
660C2×#67—22no—
661C2×#67—22no—
662C2×#67—22no—
663C2×#67—22no—
664C2×#67—22no—
665C2×#67—22no—
666C2×#67—22no—
667C2×#67—22no—
668C2×#67—22no—
669C2×#67—22no—
670C2×#67—22no—
671C2×#67—41no—
672C2×#67—41no—
673C2×#67—41no—
674C2×#67—41no—
675C2×#67—41no—
676C2×#67—41no—
677C2×#67—41no—
678C2×#67—41no—
679C2×#67—41no—
680C2×#67—41no—
681C2×#67—41no—
682C2×#67—41no—
683C2×#67—41no—
684C2×#67—41no—
685C2×#67—41no—
686C2×#67—41no—
687C2×#67—416no—
688C2×#67C2×D414yes—
689C22×Dic3—22no—
690C22×Dic3—22no—
691C22×Dic3—22no—
692C22×Dic3—22no—
693C22×Dic3—22no—
694C22×Dic3—22no—
695C22×Dic3—22no—
696C22×Dic3—22no—
697C22×Dic3—22no—
698C22×Dic3—41no—
699C22×Dic3—41no—
700C22×Dic3—41no—
701C22×Dic3—41no—
702C22×Dic3—41no—
703C22×Dic3—41no—
704C22×Dic3—41no—
705C22×Dic3—41no—
706C22×Dic3C2×D414yes—
707C22×Dic3C2411yescharacteristic
708C22×Dic3C2411yescharacteristic
709C22×Dic3C2411yescharacteristic
710C22×Dic3C2411yescharacteristic
711C22×Dic3C2411yescharacteristic
712C22×Dic3C2411yescharacteristic
713C22×Dic3C2411yescharacteristic
714C22×Dic3C2411yescharacteristic
715C22×Dic3C2411yescharacteristic
716C22×Dic3C2411yescharacteristic
717C22×Dic3C2411yescharacteristic
718C22×Dic3C2411yescharacteristic
719C22×Dic3C2411yescharacteristic
720C22×Dic3C2411yescharacteristic
721#237—416no—
722C2×C4×D3—22no—
723C2×C4×D3—41no—
724C2×C4×D3—41no—
725C2×C4×D3—41no—
726C2×C4×D3—41no—
727C2×C4×D3C2×D414yescomplemented
728C2×Dic6—22no—
729C2×Dic6—22no—
730C2×Dic6—41no—
731C2×Dic6—41no—
732C2×Dic6—41no—
733C2×Dic6—41no—
734C3×C4⋊C4—22no—
735C3×C4⋊C4—22no—
736C3×C22⋊C4—22no—
737C3×C22⋊C4—22no—
738C3×C22⋊C4—22no—
739C3×C22⋊C4—22no—
740C3×C22⋊C4—22no—
741C3×C22⋊C4—22no—
742C3×C22⋊C4—22no—
743C3×C22⋊C4—22no—
744C3×C22⋊C4—22no—
745C3×C22⋊C4—41no—
746C3×C22⋊C4—41no—
747C3×C22⋊C4—41no—
748C3×C22⋊C4—41no—
749C3×C22⋊C4—41no—
750C3×C22⋊C4C2×D414yes—
751#217—22no—
752#217—22no—
753#217—22no—
754#217—22no—
755#217—22no—
756#217—22no—
757#217—22no—
758#217—22no—
759#217—22no—
760#217—22no—
761#217—22no—
762#217—22no—
763#217—22no—
764#217—22no—
765#217—41no—
766#217—41no—
767#217—41no—
768#217—41no—
769#217—41no—
770#217—41no—
771#217—41no—
772#217—41no—
773#217—41no—
774#217—41no—
775#217—41no—
776#217—41no—
777#217—41no—
778#217—41no—
779#217—41no—
780#217—41no—
781#217—41no—
782(C2×D3)⋊C4—22no—
783(C2×D3)⋊C4—22no—
784(C2×D3)⋊C4—22no—
785(C2×D3)⋊C4—22no—
786(C2×D3)⋊C4—22no—
787(C2×D3)⋊C4—22no—
788(C2×D3)⋊C4—22no—
789(C2×D3)⋊C4—22no—
790(C2×D3)⋊C4—22no—
791(C2×D3)⋊C4—41no—
792(C2×D3)⋊C4—41no—
793(C2×D3)⋊C4—41no—
794(C2×D3)⋊C4—41no—
795(C2×D3)⋊C4—41no—
796(C2×D3)⋊C4—41no—
797(C2×D3)⋊C4C2×D414yescomplemented
798C4⋊Dic3—22no—
799C4⋊Dic3—22no—
800C4⋊Dic3—22no—
801C4⋊Dic3—22no—
802C4⋊Dic3—22no—
803C4⋊Dic3—41no—
804C4⋊Dic3—41no—
805C4⋊Dic3—41no—
806C4⋊Dic3—41no—
807C4⋊Dic3—41no—
808C4⋊Dic3—41no—
809C4⋊Dic3—41no—
810C4⋊Dic3—41no—
811Dic3⋊C4—22no—
812Dic3⋊C4—22no—
813Dic3⋊C4—22no—
814Dic3⋊C4—22no—
815Dic3⋊C4—22no—
816Dic3⋊C4—41no—
817Dic3⋊C4—41no—
818Dic3⋊C4C2×D414yescomplemented
819C4×Dic3—22no—
820C4×Dic3—22no—
821C4×Dic3—22no—
822C4×Dic3—22no—
823C4×Dic3—41no—
824C4×Dic3—41no—
825C4×Dic3—41no—
826C4×Dic3—41no—
827C4×Dic3C2×D414yescomplemented
828C25—31no—
829C25C22×D311yescharacteristic
830C25C22×D311yescharacteristic
831C2×#41—64no—
832C2×#41—122no—
833C2×#41—122no—
834C22×Q8—31no—
835C22×Q8—31no—
836C22×D4—24no—
837C22×D4—31no—
838C22×D4—31no—
839C22×D4—31no—
840C22×D4—31no—
841C22×D4—31no—
842C22×D4—31no—
843C22×D4—31no—
844C22×D4—31no—
845C22×D4—31no—
846C22×D4—31no—
847C22×D4—42no—
848C22×D4—42no—
849C22×D4—64no—
850C22×D4—122no—
851C22×D4—122no—
852C22×D4C22×D311yescharacteristic
853C22×D4C22×D311yescharacteristic
854C22×D4C22×D311yescharacteristic
855C22×D4C22×D311yescharacteristic
856C22×D4C22×D311yescharacteristic
857C22×D4C22×D311yescharacteristic
858C22×D4C22×D311yescharacteristic
859C22×D4C22×D311yescharacteristic
860C22×D4C22×D311yescharacteristic
861C23×C4—31no—
862C23×C4—31no—
863C23×C4—31no—
864C23×C4—31no—
865C23×C4—31no—
866C23×C4—31no—
867C23×C4—31no—
868C23×C4—31no—
869C23×C4C22×D311yescharacteristic
870C23×C4C22×D311yescharacteristic
871C23×C4C22×D311yescharacteristic
872#126—64no—
873#126—64no—
874#124—64no—
875#124—64no—
876#124—122no—
877#123—64no—
878#123—64no—
879#123—64no—
880#123—64no—
881#123—64no—
882#123—122no—
883#123—122no—
884C22⋊Q8—64no—
885C22⋊Q8—64no—
886C22⋊Q8—64no—
887#121—24no—
888#121—42no—
889#121—64no—
890#121—64no—
891#121—64no—
892#120—24no—
893#120—42no—
894#120—64no—
895#120—64no—
896#120—64no—
897#120—122no—
898#120—122no—
899C4×D4—38no—
900C4×D4—64no—
901C4×D4—64no—
902#117—64no—
903#117—64no—
904#117—122no—
905C2×C4⋊C4—31no—
906C2×C4⋊C4—31no—
907C2×C4⋊C4—31no—
908C2×C4⋊C4—31no—
909C2×C4⋊C4—31no—
910C2×C4⋊C4—31no—
911C2×C4⋊C4—31no—
912C2×C4⋊C4—31no—
913C2×C4⋊C4—31no—
914C2×C4⋊C4—31no—
915C2×C4⋊C4—31no—
916C2×C4⋊C4—31no—
917C2×C4⋊C4—31no—
918C2×C4⋊C4—31no—
919C2×C4⋊C4—31no—
920C2×C4⋊C4—31no—
921C2×C4⋊C4—31no—
922C2×C4⋊C4—31no—
923C2×C4⋊C4—31no—
924C2×C4⋊C4—31no—
925C2×C4⋊C4—31no—
926C2×C4⋊C4—122no—
927C2×C4⋊C4C22×D311yescharacteristic
928C2×C4⋊C4C22×D311yescharacteristic
929C2×C22⋊C4—24no—
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⋊C4—31no—
941C2×C22⋊C4—31no—
942C2×C22⋊C4—31no—
943C2×C22⋊C4—31no—
944C2×C22⋊C4—31no—
945C2×C22⋊C4—31no—
946C2×C22⋊C4—31no—
947C2×C22⋊C4—31no—
948C2×C22⋊C4—31no—
949C2×C22⋊C4—31no—
950C2×C22⋊C4—31no—
951C2×C22⋊C4—31no—
952C2×C22⋊C4—31no—
953C2×C22⋊C4—31no—
954C2×C22⋊C4—31no—
955C2×C22⋊C4—31no—
956C2×C22⋊C4—31no—
957C2×C22⋊C4—31no—
958C2×C22⋊C4—31no—
959C2×C22⋊C4—31no—
960C2×C22⋊C4—31no—
961C2×C22⋊C4—31no—
962C2×C22⋊C4—31no—
963C2×C22⋊C4—31no—
964C2×C22⋊C4—31no—
965C2×C22⋊C4—31no—
966C2×C22⋊C4—31no—
967C2×C22⋊C4—31no—
968C2×C22⋊C4—31no—
969C2×C22⋊C4—31no—
970C2×C22⋊C4—31no—
971C2×C22⋊C4—31no—
972C2×C22⋊C4—31no—
973C2×C22⋊C4—31no—
974C2×C22⋊C4—31no—
975C2×C22⋊C4—31no—
976C2×C22⋊C4—31no—
977C2×C22⋊C4—64no—
978C2×C22⋊C4—64no—
979C2×C22⋊C4—64no—
980C2×C22⋊C4—122no—
981C2×C22⋊C4—122no—
982C2×C22⋊C4C22×D311yescharacteristic
983C2×C22⋊C4C22×D311yescharacteristic
984C2×C22⋊C4C22×D311yescharacteristic
985C2×C22⋊C4C22×D311yescharacteristic
986C2×C22⋊C4C22×D311yescharacteristic
987C2×C22⋊C4C22×D311yescharacteristic
988C2×C22⋊C4C22×D311yescharacteristic
989C2×C22⋊C4C22×D311yescharacteristic
990C2×C22⋊C4C22×D311yescharacteristic
991C2×C22⋊C4C22×D311yescharacteristic
992C2×C22⋊C4C22×D311yescharacteristic
993C2×C22⋊C4C22×D311yescharacteristic
994C2×C22⋊C4C22×D311yescharacteristic
995C2×C22⋊C4C22×D311yescharacteristic
996C2×C22⋊C4C22×D311yescharacteristic
997C2×C42—31no—
998C2×C42—31no—
999C2×C42—31no—
1000C2×C42—31no—
1001C2×C42—31no—
1002C2×C42—31no—
1003C2×C42—31no—
1004C2×C42—31no—
1005C2×C42—31no—
1006C2×C42—122no—
1007#95—31no—
1008#95—31no—
1009#95—31no—
1010#95—31no—
1011#95—31no—
1012#95—31no—
1013#95—31no—
1014#95—31no—
1015#95—31no—
1016#95—31no—
1017#95—31no—
1018#95—31no—
1019#95—31no—
1020#95—31no—
1021#95—31no—
1022#95—31no—
1023#95—31no—
1024#95—31no—
1025#95—31no—
1026#95—31no—
1027#95—31no—
1028#95—31no—
1029#95C22×D311yescharacteristic
1030#95C22×D311yescharacteristic
1031#95C22×D311yescharacteristic
1032#95C22×D311yescharacteristic
1033C23×C3—21no—
1034C23×C3—21no—
1035C23×C3—21no—
1036C23×C3—21no—
1037C23×C3—21no—
1038C23×C3—21no—
1039C23×C3—21no—
1040C23×C3—21no—
1041C23×C3—21no—
1042C23×C3—21no—
1043C23×C3—21no—
1044C23×C3—21no—
1045C23×C3—21no—
1046C23×C3—21no—
1047C23×C3—21no—
1048C23×C3—21no—
1049C23×C3—21no—
1050C23×C3—21no—
1051C23×C3—21no—
1052C23×C3—21no—
1053C23×C3—21no—
1054C23×C3—21no—
1055C23×C3—21no—
1056C23×C3—21no—
1057C23×C3—21no—
1058C23×C3—21no—
1059C23×C3—21no—
1060C23×C3—21no—
1061C23×C3—21no—
1062C23×C3—21no—
1063C23×C3—21no—
1064C23×C3—21no—
1065C23×C3—21no—
1066C23×C3—21no—
1067C23×C3—21no—
1068C23×C3—21no—
1069C23×C3—21no—
1070C23×C3—44no—
1071C23×C3—44no—
1072C23×C3—44no—
1073C23×C3—44no—
1074C23×C3—44no—
1075C23×C3—44no—
1076C23×C3—44no—
1077C23×C3—44no—
1078C23×C3—82no—
1079C23×C3—82no—
1080C23×C3—82no—
1081C23×C3—82no—
1082C23×C3—82no—
1083C23×C3—82no—
1084C23×C3C22×D412yes—
1085C23×C3C2×#4112yes—
1086C23×C3C2×#4112yes—
1087C23×C3H(5,𝔽2)12yes—
1088C23×C3H(5,𝔽2)12yes—
1089C23×C3C2511yescharacteristic
1090C22×D3—21no—
1091C22×D3—21no—
1092C22×D3—21no—
1093C22×D3—21no—
1094C22×D3—21no—
1095C22×D3—21no—
1096C22×D3—21no—
1097C22×D3—21no—
1098C22×D3—21no—
1099C22×D3—21no—
1100C22×D3—21no—
1101C22×D3—21no—
1102C22×D3—21no—
1103C22×D3—44no—
1104C22×D3—44no—
1105C22×D3—82no—
1106C22×D3—82no—
1107C22×D3—82no—
1108C22×D3—82no—
1109C22×D3—82no—
1110C22×D3C22×D412yes—
1111C3×D4—44no—
1112C3×D4—44no—
1113C3×D4—44no—
1114C3×D4—44no—
1115C3×D4—44no—
1116C3×D4—44no—
1117C3×D4—82no—
1118C3×D4—82no—
1119C3×D4—82no—
1120C2×C3×C4—28no—
1121C2×C3×C4—21no—
1122C2×C3×C4—21no—
1123C2×C3×C4—21no—
1124C2×C3×C4—21no—
1125C2×C3×C4—21no—
1126C2×C3×C4—21no—
1127C2×C3×C4—21no—
1128C2×C3×C4—21no—
1129C2×C3×C4—21no—
1130C2×C3×C4—21no—
1131C2×C3×C4—21no—
1132C2×C3×C4—21no—
1133C2×C3×C4—21no—
1134C2×C3×C4—21no—
1135C2×C3×C4—21no—
1136C2×C3×C4—21no—
1137C2×C3×C4—21no—
1138C2×C3×C4—21no—
1139C2×C3×C4—21no—
1140C2×C3×C4—21no—
1141C2×C3×C4—21no—
1142C2×C3×C4—21no—
1143C2×C3×C4—21no—
1144C2×C3×C4—44no—
1145C2×C3×C4—82no—
1146C2×C3×C4C22×D412yes—
1147C2×C3×C4C22×D412yes—
1148C2×C3×C4C2×#4112yes—
1149C2×C3×C4H(5,𝔽2)12yes—
1150#67—28no—
1151#67—44no—
1152#67—44no—
1153#67—44no—
1154#67—44no—
1155#67—44no—
1156#67—82no—
1157#67—82no—
1158#67—82no—
1159#67—82no—
1160C2×Dic3—21no—
1161C2×Dic3—21no—
1162C2×Dic3—21no—
1163C2×Dic3—21no—
1164C2×Dic3—21no—
1165C2×Dic3—21no—
1166C2×Dic3—21no—
1167C2×Dic3—21no—
1168C2×Dic3—21no—
1169C2×Dic3—21no—
1170C2×Dic3—21no—
1171C2×Dic3—21no—
1172C2×Dic3—21no—
1173C2×Dic3—21no—
1174C2×Dic3—21no—
1175C2×Dic3—21no—
1176C2×Dic3—21no—
1177C2×Dic3—21no—
1178C2×Dic3—21no—
1179C2×Dic3—21no—
1180C2×Dic3—21no—
1181C2×Dic3—21no—
1182C2×Dic3—21no—
1183C2×Dic3—21no—
1184C2×Dic3—21no—
1185C2×Dic3—21no—
1186C2×Dic3—21no—
1187C2×Dic3—21no—
1188C2×Dic3—21no—
1189C2×Dic3—21no—
1190C2×Dic3—21no—
1191C2×Dic3—21no—
1192C2×Dic3—21no—
1193C2×Dic3—21no—
1194C2×Dic3—21no—
1195C2×Dic3—21no—
1196C2×Dic3—21no—
1197C2×Dic3—21no—
1198C2×Dic3—21no—
1199C2×Dic3—44no—
1200C2×Dic3—44no—
1201C2×Dic3—44no—
1202C2×Dic3—44no—
1203C2×Dic3—44no—
1204C2×Dic3—44no—
1205C2×Dic3C22×D412yes—
1206C2×Dic3C22×D412yes—
1207C2×Dic3C22×D412yes—
1208C4×D3—44no—
1209C4×D3—44no—
1210Dic6—44no—
1211Dic6—82no—
1212C24—22no—
1213C24—22no—
1214C24—22no—
1215C24—22no—
1216C24—22no—
1217C24—22no—
1218C24—22no—
1219C24—22no—
1220C24—31no—
1221C24—31no—
1222C24—41no—
1223C24—41no—
1224C24—41no—
1225C24—41no—
1226C24—41no—
1227C24—41no—
1228C24—62no—
1229C24—62no—
1230C24—121no—
1231C24—121no—
1232C24—121no—
1233C24—121no—
1234C24—121no—
1235C24C23×D311yescharacteristic
1236C24C23×D311yescharacteristic
1237C24C23×D311yescharacteristic
1238C24C23×D311yescharacteristic
1239C24C23×D311yescharacteristic
1240C24C23×D311yescharacteristic
1241#41—1216no—
1242C2×Q8—62no—
1243C2×Q8—62no—
1244C2×Q8—121no—
1245C2×Q8—121no—
1246C2×Q8—121no—
1247C2×Q8—121no—
1248C2×D4—22no—
1249C2×D4—22no—
1250C2×D4—22no—
1251C2×D4—22no—
1252C2×D4—22no—
1253C2×D4—22no—
1254C2×D4—22no—
1255C2×D4—22no—
1256C2×D4—22no—
1257C2×D4—22no—
1258C2×D4—22no—
1259C2×D4—22no—
1260C2×D4—34no—
1261C2×D4—41no—
1262C2×D4—41no—
1263C2×D4—41no—
1264C2×D4—41no—
1265C2×D4—41no—
1266C2×D4—41no—
1267C2×D4—41no—
1268C2×D4—416no—
1269C2×D4—41no—
1270C2×D4—41no—
1271C2×D4—41no—
1272C2×D4—41no—
1273C2×D4—41no—
1274C2×D4—41no—
1275C2×D4—41no—
1276C2×D4—62no—
1277C2×D4—62no—
1278C2×D4—62no—
1279C2×D4—62no—
1280C2×D4—62no—
1281C2×D4—62no—
1282C2×D4—62no—
1283C2×D4—62no—
1284C2×D4—62no—
1285C2×D4—62no—
1286C2×D4—62no—
1287C2×D4—62no—
1288C2×D4—62no—
1289C2×D4—121no—
1290C2×D4—121no—
1291C2×D4—121no—
1292C2×D4—121no—
1293C2×D4—121no—
1294C2×D4—121no—
1295C2×D4—121no—
1296C2×D4—121no—
1297C2×D4—121no—
1298C2×D4—121no—
1299C2×D4—121no—
1300C2×D4—121no—
1301C2×D4—121no—
1302C2×D4—121no—
1303C2×D4—121no—
1304C2×D4—121no—
1305C2×D4—1216no—
1306C2×D4#23714yescomplemented
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—22no—
1312C22×C4—22no—
1313C22×C4—31no—
1314C22×C4—31no—
1315C22×C4—31no—
1316C22×C4—34no—
1317C22×C4—34no—
1318C22×C4—31no—
1319C22×C4—31no—
1320C22×C4—31no—
1321C22×C4—31no—
1322C22×C4—31no—
1323C22×C4—31no—
1324C22×C4—31no—
1325C22×C4—31no—
1326C22×C4—31no—
1327C22×C4—31no—
1328C22×C4—31no—
1329C22×C4—41no—
1330C22×C4—41no—
1331C22×C4—41no—
1332C22×C4—62no—
1333C22×C4—62no—
1334C22×C4—62no—
1335C22×C4—62no—
1336C22×C4—62no—
1337C22×C4—62no—
1338C22×C4—62no—
1339C22×C4—62no—
1340C22×C4—62no—
1341C22×C4—62no—
1342C22×C4—121no—
1343C22×C4—121no—
1344C22×C4—121no—
1345C22×C4—121no—
1346C22×C4—121no—
1347C22×C4—121no—
1348C22×C4—121no—
1349C22×C4—121no—
1350C22×C4—121no—
1351C22×C4—121no—
1352C22×C4—121no—
1353C22×C4—121no—
1354C22×C4C23×D311yescharacteristic
1355C22×C4C23×D311yescharacteristic
1356C22×C4C23×D311yescharacteristic
1357C22×C4C23×D311yescharacteristic
1358C22×C4C23×D311yescharacteristic
1359C22×C4C23×D311yescharacteristic
1360C22×C4C23×D311yescharacteristic
1361C22×C4C23×D311yescharacteristic
1362C22×C4C23×D311yescharacteristic
1363C4⋊C4—22no—
1364C4⋊C4—22no—
1365C4⋊C4—34no—
1366C4⋊C4—62no—
1367C4⋊C4—62no—
1368C4⋊C4—62no—
1369C4⋊C4—62no—
1370C4⋊C4—62no—
1371C4⋊C4—62no—
1372C4⋊C4—62no—
1373C4⋊C4—62no—
1374C4⋊C4—62no—
1375C4⋊C4—62no—
1376C4⋊C4—121no—
1377C4⋊C4—121no—
1378C4⋊C4—121no—
1379C4⋊C4—121no—
1380C4⋊C4—121no—
1381C4⋊C4—121no—
1382C4⋊C4—121no—
1383C4⋊C4—121no—
1384C4⋊C4—121no—
1385C4⋊C4—121no—
1386C22⋊C4—22no—
1387C22⋊C4—22no—
1388C22⋊C4—22no—
1389C22⋊C4—22no—
1390C22⋊C4—22no—
1391C22⋊C4—22no—
1392C22⋊C4—22no—
1393C22⋊C4—22no—
1394C22⋊C4—22no—
1395C22⋊C4—34no—
1396C22⋊C4—41no—
1397C22⋊C4—41no—
1398C22⋊C4—41no—
1399C22⋊C4—41no—
1400C22⋊C4—41no—
1401C22⋊C4—62no—
1402C22⋊C4—62no—
1403C22⋊C4—62no—
1404C22⋊C4—62no—
1405C22⋊C4—62no—
1406C22⋊C4—62no—
1407C22⋊C4—62no—
1408C22⋊C4—62no—
1409C22⋊C4—62no—
1410C22⋊C4—62no—
1411C22⋊C4—62no—
1412C22⋊C4—62no—
1413C22⋊C4—62no—
1414C22⋊C4—62no—
1415C22⋊C4—62no—
1416C22⋊C4—62no—
1417C22⋊C4—62no—
1418C22⋊C4—62no—
1419C22⋊C4—62no—
1420C22⋊C4—62no—
1421C22⋊C4—62no—
1422C22⋊C4—62no—
1423C22⋊C4—62no—
1424C22⋊C4—121no—
1425C22⋊C4—121no—
1426C22⋊C4—121no—
1427C22⋊C4—121no—
1428C22⋊C4—121no—
1429C22⋊C4—121no—
1430C22⋊C4—121no—
1431C22⋊C4—121no—
1432C22⋊C4—121no—
1433C22⋊C4—121no—
1434C22⋊C4—121no—
1435C22⋊C4—121no—
1436C22⋊C4—121no—
1437C22⋊C4—121no—
1438C22⋊C4—121no—
1439C22⋊C4—121no—
1440C22⋊C4—121no—
1441C22⋊C4—121no—
1442C22⋊C4—121no—
1443C22⋊C4—121no—
1444C22⋊C4—121no—
1445C22⋊C4—121no—
1446C22⋊C4—121no—
1447C22⋊C4D3×D414yes—
1448C42—34no—
1449C42—62no—
1450C42—62no—
1451C42—62no—
1452C42—62no—
1453C42—121no—
1454C42—121no—
1455C42—121no—
1456C42—121no—
1457C22×C3—22no—
1458C22×C3—22no—
1459C22×C3—22no—
1460C22×C3—22no—
1461C22×C3—22no—
1462C22×C3—22no—
1463C22×C3—22no—
1464C22×C3—22no—
1465C22×C3—22no—
1466C22×C3—22no—
1467C22×C3—22no—
1468C22×C3—22no—
1469C22×C3—41no—
1470C22×C3—41no—
1471C22×C3—41no—
1472C22×C3—41no—
1473C22×C3—41no—
1474C22×C3—41no—
1475C22×C3—41no—
1476C22×C3—41no—
1477C22×C3—41no—
1478C22×C3—41no—
1479C22×C3—41no—
1480C22×C3—41no—
1481C22×C3—41no—
1482C22×C3—41no—
1483C22×C3—41no—
1484C22×C3—41no—
1485C22×C3—41no—
1486C22×C3—41no—
1487C22×C3—41no—
1488C22×C3—41no—
1489C22×C3—41no—
1490C22×C3—41no—
1491C22×C3—41no—
1492C22×C3—41no—
1493C22×C3—41no—
1494C22×C3—41no—
1495C22×C3—41no—
1496C22×C3—41no—
1497C22×C3—41no—
1498C22×C3—88no—
1499C22×C3—88no—
1500C22×C3#53514yes—
1501C22×C3C23×D411yescharacteristic
1502C22×C3C22×#4111yescharacteristic
1503C22×C3C2×H(5,𝔽2)11yescharacteristic
1504C22×C3C2×H(5,𝔽2)11yescharacteristic
1505C22×C3C2×H(5,𝔽2)11yescharacteristic
1506C22×C3#58511yescharacteristic
1507C22×C3#58511yescharacteristic
1508C2×D3—22no—
1509C2×D3—22no—
1510C2×D3—22no—
1511C2×D3—41no—
1512C2×D3—41no—
1513C2×D3—41no—
1514C2×D3—41no—
1515C2×D3—41no—
1516C2×D3—41no—
1517C2×D3—41no—
1518C2×D3—41no—
1519C2×D3—41no—
1520C2×D3—41no—
1521C2×D3—41no—
1522C2×D3—88no—
1523C3×C4—22no—
1524C3×C4—22no—
1525C3×C4—22no—
1526C3×C4—22no—
1527C3×C4—41no—
1528C3×C4—41no—
1529C3×C4—41no—
1530C3×C4—41no—
1531C3×C4—41no—
1532Dic3—22no—
1533Dic3—22no—
1534Dic3—22no—
1535Dic3—41no—
1536Dic3—41no—
1537Dic3—41no—
1538Dic3—41no—
1539Dic3—41no—
1540Dic3—41no—
1541Dic3—41no—
1542Dic3—41no—
1543Dic3—41no—
1544Dic3—41no—
1545Dic3—41no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—21no—
1578C23—21no—
1579C23—21no—
1580C23—21no—
1581C23—21no—
1582C23—21no—
1583C23—32no—
1584C23—44no—
1585C23—44no—
1586C23—44no—
1587C23—44no—
1588C23—44no—
1589C23—44no—
1590C23—44no—
1591C23—44no—
1592C23—61no—
1593C23—61no—
1594C23—61no—
1595C23—61no—
1596C23—61no—
1597C23—61no—
1598C23—61no—
1599C23—61no—
1600C23—61no—
1601C23—61no—
1602C23—61no—
1603C23—61no—
1604C23—61no—
1605C23—82no—
1606C23—82no—
1607C23—82no—
1608C23—82no—
1609C23—82no—
1610C23—82no—
1611C23—124no—
1612C23—124no—
1613C23—242no—
1614C23—242no—
1615C23—242no—
1616C23—242no—
1617C23—242no—
1618C23C2×D3×D412yes—
1619C23C2×#23712yes—
1620C23C2×#23712yes—
1621C23#100412yes—
1622C23#100912yes—
1623C23C24×D311yescharacteristic
1624Q8—124no—
1625Q8—242no—
1626D4—44no—
1627D4—44no—
1628D4—44no—
1629D4—44no—
1630D4—44no—
1631D4—44no—
1632D4—68no—
1633D4—82no—
1634D4—82no—
1635D4—82no—
1636D4—124no—
1637D4—124no—
1638D4—124no—
1639D4—124no—
1640D4—124no—
1641D4—242no—
1642D4—242no—
1643D4—242no—
1644D4—242no—
1645C2×C4—28no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—32no—
1670C2×C4—32no—
1671C2×C4—32no—
1672C2×C4—44no—
1673C2×C4—61no—
1674C2×C4—61no—
1675C2×C4—61no—
1676C2×C4—61no—
1677C2×C4—61no—
1678C2×C4—61no—
1679C2×C4—61no—
1680C2×C4—61no—
1681C2×C4—61no—
1682C2×C4—61no—
1683C2×C4—61no—
1684C2×C4—61no—
1685C2×C4—61no—
1686C2×C4—61no—
1687C2×C4—61no—
1688C2×C4—61no—
1689C2×C4—61no—
1690C2×C4—61no—
1691C2×C4—61no—
1692C2×C4—61no—
1693C2×C4—61no—
1694C2×C4—61no—
1695C2×C4—61no—
1696C2×C4—61no—
1697C2×C4—61no—
1698C2×C4—61no—
1699C2×C4—61no—
1700C2×C4—61no—
1701C2×C4—61no—
1702C2×C4—61no—
1703C2×C4—61no—
1704C2×C4—61no—
1705C2×C4—61no—
1706C2×C4—61no—
1707C2×C4—61no—
1708C2×C4—61no—
1709C2×C4—61no—
1710C2×C4—61no—
1711C2×C4—61no—
1712C2×C4—82no—
1713C2×C4—124no—
1714C2×C4—124no—
1715C2×C4—124no—
1716C2×C4—124no—
1717C2×C4—124no—
1718C2×C4—124no—
1719C2×C4—124no—
1720C2×C4—124no—
1721C2×C4C2×D3×D412yes—
1722C2×C4C2×D3×D412yes—
1723C2×C4C2×#23712yes—
1724C2×C4#100412yes—
1725C2×C3—24no—
1726C2×C3—42no—
1727C2×C3—42no—
1728C2×C3—81no—
1729C2×C3—81no—
1730C2×C3—81no—
1731C2×C3C2×#53511yescharacteristic
1732C2×C3D4×#4111yescharacteristic
1733C2×C3#349011yescharacteristic
1734C2×C3#349611yescharacteristic
1735C2×C3#351311yescharacteristic
1736C2×C3#354211yescharacteristic
1737C2×C3#354511yescharacteristic
1738D3—42no—
1739D3—81no—
1740C22—22no—
1741C22—22no—
1742C22—22no—
1743C22—22no—
1744C22—22no—
1745C22—22no—
1746C22—22no—
1747C22—22no—
1748C22—22no—
1749C22—22no—
1750C22—22no—
1751C22—22no—
1752C22—41no—
1753C22—41no—
1754C22—41no—
1755C22—41no—
1756C22—41no—
1757C22—41no—
1758C22—41no—
1759C22—41no—
1760C22—41no—
1761C22—41no—
1762C22—41no—
1763C22—41no—
1764C22—41no—
1765C22—41no—
1766C22—41no—
1767C22—41no—
1768C22—41no—
1769C22—41no—
1770C22—41no—
1771C22—41no—
1772C22—41no—
1773C22—41no—
1774C22—41no—
1775C22—41no—
1776C22—41no—
1777C22—41no—
1778C22—41no—
1779C22—41no—
1780C22—41no—
1781C22—62no—
1782C22—62no—
1783C22—62no—
1784C22—88no—
1785C22—88no—
1786C22—121no—
1787C22—121no—
1788C22—121no—
1789C22—121no—
1790C22—121no—
1791C22—121no—
1792C22—121no—
1793C22—121no—
1794C22—121no—
1795C22—121no—
1796C22—121no—
1797C22—248no—
1798C22#560714yes—
1799C22C22×D3×D411yescharacteristic
1800C22C22×#23711yescharacteristic
1801C22C2×#100411yescharacteristic
1802C22C2×#100411yescharacteristic
1803C22C2×#100911yescharacteristic
1804C22#596611yescharacteristic
1805C22#596611yescharacteristic
1806C4—22no—
1807C4—22no—
1808C4—22no—
1809C4—22no—
1810C4—41no—
1811C4—41no—
1812C4—41no—
1813C4—41no—
1814C4—41no—
1815C4—62no—
1816C4—62no—
1817C4—62no—
1818C4—121no—
1819C4—121no—
1820C4—121no—
1821C4—121no—
1822C4—121no—
1823C4—121no—
1824C4—121no—
1825C4—121no—
1826C4—121no—
1827C4—121no—
1828C4—121no—
1829C3#3842011yescharacteristic, complemented, Sylow
1830C2—24no—
1831C2—42no—
1832C2—42no—
1833C2—81no—
1834C2—81no—
1835C2—81no—
1836C2—122no—
1837C2—241no—
1838C2#8591311yescharacteristic
1839C2C2×#560711yescharacteristic
1840C2#8630411yescharacteristic
1841C2D4×#23711yescharacteristic
1842C2#8662111yescharacteristic
1843C2#8663411yescharacteristic
1844C2#8664811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2410C2
hypercenter#2410D3
hypocenterC3#38420
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2410

Complements

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

NH ≅ G/Ntype
1. C2×#5591C2semidirect
2. C2×#5495C2semidirect
3. C3×#2410C2semidirect
4. #84052C2semidirect
5. C2×#5221C2semidirect
6. #82720C2semidirect
7. #82703C2semidirect
8. #82684C2semidirect
9. #82633C2semidirect
10. #82591C2semidirect
11. #82583C2semidirect
12. #82581C2semidirect
13. #82108C2semidirect
14. #77153C2semidirect
15. #77109C2semidirect
16. #77041C2semidirect
17. #76996C2semidirect
18. #76767C2semidirect
19. #76728C2semidirect
20. #76708C2semidirect
21. #76695C2semidirect
22. #74876C2semidirect
23. #74869C2semidirect
24. #74817C2semidirect
25. #74802C2semidirect
26. #74780C2semidirect
27. #74687C2semidirect
28. #74407C2semidirect
29. #74377C2semidirect
30. #73835C2semidirect
31. #73823C2semidirect
37. C2×C3×#121C22semidirect
39. C2×C3×#120C22semidirect
40. C22×C3×C22⋊C4C22semidirect
45. C22×#217C22semidirect
46. C22×#217C22semidirect
48. C2×#939C22semidirect
49. C2×#938C22semidirect
52. C2×#937C22semidirect
53. C2×#935C22semidirect
54. C2×D4×Dic3C22semidirect
55. C2×#929C22semidirect
56. C2×C4×#67C22semidirect
57. C2×#926C22semidirect
58. C22×C4⋊Dic3C22semidirect
59. C2×#924C22semidirect
60. C22×C4×Dic3C22semidirect
62. C2×#892C22semidirect
67. C2×#885C22semidirect
68. C2×#885C22semidirect
69. C2×#885C22semidirect
70. C2×#883C22semidirect
71. C2×#883C22semidirect
73. C2×D3×C22⋊C4C22semidirect
74. C2×#879C22semidirect
75. C2×#879C22semidirect
76. C2×#878C22semidirect
77. C2×#878C22semidirect
78. C2×#877C22semidirect
80. C3×#394C22semidirect
82. C3×#392C22semidirect
84. C3×#386C22semidirect
85. C3×#386C22semidirect
86. C3×#385C22semidirect
93. #5223C22semidirect
94. #5223C22semidirect
95. #5223C22semidirect
96. #5223C22semidirect
97. #5222C22semidirect
98. #5222C22semidirect
103. #5221C22semidirect
104. #5221C22semidirect
105. #5221C22semidirect
106. #5221C22semidirect
107. #5221C22semidirect
108. #5221C22semidirect
109. #5221C22semidirect
110. #5221C22semidirect
113. #5220C22semidirect
114. #5220C22semidirect
115. #5220C22semidirect
118. #5213C22semidirect
119. #5213C22semidirect
120. #5212C22semidirect
121. #5212C22semidirect
122. #4994C22semidirect
123. #4994C22semidirect
124. #4990C22semidirect
125. #4984C22semidirect
126. #4984C22semidirect
127. #4978C22semidirect
128. Dic3×C4⋊C4C22semidirect
129. #4961C22semidirect
130. #4961C22semidirect
131. #4961C22semidirect
132. #4961C22semidirect
133. #4961C22semidirect
134. #4961C22semidirect
135. #4961C22semidirect
136. #4961C22semidirect
139. #4957C22semidirect
140. #4957C22semidirect
141. #4957C22semidirect
142. #4956C22semidirect
143. #4956C22semidirect
144. #4955C22semidirect
145. #4955C22semidirect
146. #4953C22semidirect
147. #4953C22semidirect
148. #4952C22semidirect
149. #4952C22semidirect
150. #4951C22semidirect
151. #4951C22semidirect
152. #4951C22semidirect
153. #4950C22semidirect
154. #4950C22semidirect
155. #4950C22semidirect
156. #4950C22semidirect
157. #4950C22semidirect
158. #4949C22semidirect
159. #4949C22semidirect
160. #4948C22semidirect
161. #4948C22semidirect
162. #4947C22semidirect
163. #4947C22semidirect
164. #4947C22semidirect
165. #4947C22semidirect
166. #4944C22semidirect
167. #4944C22semidirect
168. #4944C22semidirect
169. #4944C22semidirect
170. #4944C22semidirect
171. #4943C22semidirect
172. #4943C22semidirect
173. Dic3×C22⋊C4C22semidirect
174. #4670C22semidirect
175. #4670C22semidirect
176. #4670C22semidirect
177. #4670C22semidirect
178. #4669C22semidirect
179. #4668C22semidirect
180. #4668C22semidirect
181. #4666C22semidirect
182. #4661C22semidirect
183. #4661C22semidirect
184. #4656C22semidirect
185. #4656C22semidirect
186. #4655C22semidirect
187. #4650C22semidirect
188. #4648C22semidirect
189. #4646C22semidirect
212. #2410D3semidirect
393. #67⋊C4D4semidirect
450. C2×#121C2×D3semidirect
457. C2×#120C2×D3semidirect
470. C22×C22⋊C4C2×D3semidirect
497. #394C2×D3semidirect
511. #392C2×D3semidirect
560. #386C2×D3semidirect
561. #386C2×D3semidirect
569. #385C2×D3semidirect
639. C2×C3×D4#41semidirect
727. C2×C4×D3C2×D4semidirect
797. (C2×D3)⋊C4C2×D4semidirect
818. Dic3⋊C4C2×D4semidirect
827. C4×Dic3C2×D4semidirect
1306. C2×D4#237semidirect
1829. C3#38420semidirect

Maximal subgroups

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

subgroupindex
C2×#55912
C2×#54952
C3×#24102
#840522
C2×#52212
#827202
#827032
#826842
#826332
#825912
#825832
#825812
#821082
#771532
#771092
#770412
#769962
#767672
#767282
#767082
#766952
#748762
#748692
#748172
#748022
#747802
#746872
#744072
#743772
#738352
#738232
#384203