Finite Group Databasebeta

← #11259031

Subgroups — #11259031

Order 768.

2838 conjugacy classes of subgroups.

The subgroup lattice has 1916 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#535C211yesmaximal, characteristic, complemented
2C2×#5613C211yesmaximal, characteristic, complemented
3#84097C211yesmaximal, characteristic, complemented
4#84091C211yesmaximal, characteristic, complemented
5#84052C211yesmaximal, characteristic, complemented
6#84047C211yesmaximal, characteristic, complemented
7#83190C211yesmaximal, characteristic, complemented
8#83186C211yesmaximal, characteristic, complemented
9#83182C211yesmaximal, characteristic, complemented
10#83178C211yesmaximal, characteristic, complemented
11#82988C211yesmaximal, characteristic, complemented
12#82987C211yesmaximal, characteristic, complemented
13#82965C211yesmaximal, characteristic, complemented
14#82964C211yesmaximal, characteristic, complemented
15#82721C211yesmaximal, characteristic, complemented
16#82719C211yesmaximal, characteristic, complemented
17#82713C211yesmaximal, characteristic, complemented
18#82696C211yesmaximal, characteristic, complemented
19#82694C211yesmaximal, characteristic, complemented
20#82671C211yesmaximal, characteristic, complemented
21#82634C211yesmaximal, characteristic, complemented
22#82608C211yesmaximal, characteristic, complemented
23#82605C211yesmaximal, characteristic, complemented
24#82599C211yesmaximal, characteristic, complemented
25#82598C211yesmaximal, characteristic, complemented
26#82595C211yesmaximal, characteristic, complemented
27#82587C211yesmaximal, characteristic, complemented
28#82586C211yesmaximal, characteristic, complemented
29#82582C211yesmaximal, characteristic, complemented
30#82281C211yesmaximal, characteristic, complemented
31#82253C211yesmaximal, characteristic, complemented
32#46367—31nomaximal, Sylow
33C22×C3×#41C2211yescharacteristic, complemented
34C23×C3×D4C2211yescharacteristic
35C23×#67C2211yescharacteristic
36C3×#535—28no—
37C2×C3×#127C2211yescharacteristic
38C2×C3×#127C2211yescharacteristic, complemented
39C2×C3×#124C2211yescharacteristic
40C2×C3×#124C2211yescharacteristic, complemented
41C2×C3×#121C2211yescharacteristic
42C2×C3×#121C2211yescharacteristic
43C2×C3×#121C2211yescharacteristic, complemented
44C2×C3×#121C2211yescharacteristic, complemented
45C2×C3×#120C2211yescharacteristic
46C2×C3×#120C2211yescharacteristic
47C2×C3×#120C2211yescharacteristic, complemented
48C2×C3×#120C2211yescharacteristic, complemented
49C2×C3×#117C2211yescharacteristic, complemented
50C2×#953C2211yescharacteristic
51C2×#953C2211yescharacteristic
52C22×#217C2211yescharacteristic, complemented
53C2×#946C2211yescharacteristic, complemented
54C2×#939C2211yescharacteristic
55C2×#939C2211yescharacteristic, complemented
56C2×#939C2211yescharacteristic, complemented
57C2×#939C2211yescharacteristic, complemented
58C2×#939C2211yescharacteristic, complemented
59C2×#939C2211yescharacteristic, complemented
60C2×#938C2211yescharacteristic
61C2×#938C2211yescharacteristic, complemented
62C2×#938C2211yescharacteristic, complemented
63C2×#937C2211yescharacteristic
64C2×#937C2211yescharacteristic
65C2×#937C2211yescharacteristic, complemented
66C2×#937C2211yescharacteristic, complemented
67C2×#936C2211yescharacteristic, complemented
68C2×#936C2211yescharacteristic, complemented
69C2×#935C2211yescharacteristic
70C2×#935C2211yescharacteristic, complemented
71C2×D4×Dic3C2211yescharacteristic, complemented
72C2×D4×Dic3C2211yescharacteristic, complemented
73C2×#929C2211yescharacteristic, complemented
74C2×C4×#67C2211yescharacteristic, complemented
75#5613—28no—
76C2×#898C2211yescharacteristic, complemented
77C2×#896C2211yescharacteristic, complemented
78C2×#885C2211yescharacteristic, complemented
79C2×#67⋊C4C2211yescharacteristic, complemented
80C2×D3×C22⋊C4C2211yescharacteristic, complemented
81C2×#879C2211yescharacteristic, complemented
82#5247C2211yescharacteristic
83#5247C2211yescharacteristic
84#5247C2211yescharacteristic
85#5247C2211yescharacteristic, complemented
86#5231C2211yescharacteristic, complemented
87#5230C2211yescharacteristic, complemented
88#5229C2211yescharacteristic, complemented
89#5223C2211yescharacteristic
90#5223C2211yescharacteristic
91#5223C2211yescharacteristic
92#5223C2211yescharacteristic
93#5223C2211yescharacteristic
94#5223C2211yescharacteristic
95#5223C2211yescharacteristic, complemented
96#5223C2211yescharacteristic, complemented
97#5223C2211yescharacteristic, complemented
98#5223C2211yescharacteristic, complemented
99#5223C2211yescharacteristic, complemented
100#5223C2211yescharacteristic, complemented
101#5223C2211yescharacteristic, complemented
102#5222C2211yescharacteristic
103#5222C2211yescharacteristic
104#5222C2211yescharacteristic, complemented
105#5222C2211yescharacteristic, complemented
106#5222C2211yescharacteristic, complemented
107#5222C2211yescharacteristic, complemented
108#5222C2211yescharacteristic, complemented
109#5222C2211yescharacteristic, complemented
110#5222C2211yescharacteristic, complemented
111#5222C2211yescharacteristic, complemented
112#5222C2211yescharacteristic, complemented
113#5222C2211yescharacteristic, complemented
114#5222C2211yescharacteristic, complemented
115#5221C2211yescharacteristic, complemented
116#5221C2211yescharacteristic, complemented
117#5221C2211yescharacteristic, complemented
118#5220C2211yescharacteristic
119#5220C2211yescharacteristic
120#5220C2211yescharacteristic
121#5220C2211yescharacteristic, complemented
122#5220C2211yescharacteristic, complemented
123#5220C2211yescharacteristic, complemented
124#5220C2211yescharacteristic, complemented
125#5220C2211yescharacteristic, complemented
126#5220C2211yescharacteristic, complemented
127#5220C2211yescharacteristic, complemented
128#5220C2211yescharacteristic, complemented
129#5220C2211yescharacteristic, complemented
130#5213C2211yescharacteristic
131#5213C2211yescharacteristic
132#5213C2211yescharacteristic, complemented
133#5213C2211yescharacteristic, complemented
134#5212C2211yescharacteristic, complemented
135#5210C2211yescharacteristic, complemented
136#5210C2211yescharacteristic, complemented
137#5210C2211yescharacteristic, complemented
138#5210C2211yescharacteristic, complemented
139C2×C3⋊#95C2211yescharacteristic, complemented
140#4993C2211yescharacteristic, complemented
141#4992C2211yescharacteristic, complemented
142#4985C2211yescharacteristic, complemented
143#4983C2211yescharacteristic, complemented
144#4980C2211yescharacteristic, complemented
145#4980C2211yescharacteristic, complemented
146#4961C2211yescharacteristic
147#4961C2211yescharacteristic
148#4961C2211yescharacteristic, complemented
149#4961C2211yescharacteristic, complemented
150#4961C2211yescharacteristic, complemented
151#4959C2211yescharacteristic, complemented
152#4958C2211yescharacteristic, complemented
153#4957C2211yescharacteristic
154#4957C2211yescharacteristic, complemented
155#4957C2211yescharacteristic, complemented
156#4956C2211yescharacteristic
157#4956C2211yescharacteristic, complemented
158#4956C2211yescharacteristic, complemented
159#4956C2211yescharacteristic, complemented
160#4955C2211yescharacteristic, complemented
161#4953C2211yescharacteristic, complemented
162#4952C2211yescharacteristic, complemented
163#4952C2211yescharacteristic, complemented
164#4952C2211yescharacteristic, complemented
165#4951C2211yescharacteristic, complemented
166#4951C2211yescharacteristic, complemented
167#4950C2211yescharacteristic, complemented
168#4950C2211yescharacteristic, complemented
169#4949C2211yescharacteristic, complemented
170#4948C2211yescharacteristic, complemented
171#4948C2211yescharacteristic, complemented
172#4948C2211yescharacteristic, complemented
173#4947C2211yescharacteristic, complemented
174#4947C2211yescharacteristic, complemented
175#4946C2211yescharacteristic, complemented
176#4945C2211yescharacteristic, complemented
177#4944C2211yescharacteristic, complemented
178#4944C2211yescharacteristic, complemented
179#4944C2211yescharacteristic, complemented
180#4944C2211yescharacteristic, complemented
181#4942C2211yescharacteristic, complemented
182#4940C2211yescharacteristic, complemented
183#4940C2211yescharacteristic, complemented
184#4940C2211yescharacteristic, complemented
185C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
186#4933C2211yescharacteristic, complemented
187C4×Dic3⋊C4C2211yescharacteristic, complemented
188#4929C2211yescharacteristic, complemented
189#4928C2211yescharacteristic, complemented
190C2×#538—31no—
191C2×#535D311yescharacteristic, complemented
192#2813—31no—
193#2715—31no—
194#2714—31no—
195#2712—31no—
196#2708—31no—
197#2685—31no—
198#2684—31no—
199#2676—31no—
200#2673—31no—
201#2670—31no—
202#2669—31no—
203#2668—31no—
204#2668—31no—
205#2544—31no—
206#2543—31no—
207#2479—31no—
208#2477—31no—
209#2472—31no—
210#2461—31no—
211#2430—31no—
212#2428—31no—
213#2424—31no—
214#2424—31no—
215#2410—31no—
216#2408—31no—
217#2407—31no—
218#2405—31no—
219#2403—31no—
220#2325—31no—
221C25×C3C2311yescharacteristic
222C25×C3C2311yescharacteristic
223C24×D3C2311yescharacteristic
224C2×C3×#41—24no—
225C2×C3×#41—42no—
226C2×C3×#41—42no—
227C22×C3×Q8C2311yescharacteristic
228C22×C3×D4—24no—
229C22×C3×D4—42no—
230C22×C3×D4—42no—
231C22×C3×D4C2311yescharacteristic
232C22×C3×D4C2311yescharacteristic
233C22×C3×D4C2311yescharacteristic
234C22×C3×D4C2311yescharacteristic
235C22×C3×D4C2311yescharacteristic
236C22×C3×D4C2311yescharacteristic
237C22×C3×D4C2311yescharacteristic
238C22×C3×D4C2311yescharacteristic
239C22×C3×D4C2311yescharacteristic
240C22×C3×D4C2311yescharacteristic
241C22×C3×D4C2311yescharacteristic
242C22×C3×D4C2311yescharacteristic
243C22×C3×D4C2311yescharacteristic
244C22×C3×D4C2311yescharacteristic
245C22×C3×D4C2311yescharacteristic
246C23×C3×C4C2311yescharacteristic
247C23×C3×C4C2311yescharacteristic
248C23×C3×C4C2311yescharacteristic
249C22×#67—42no—
250C22×#67—42no—
251C22×#67—42no—
252C22×#67C2311yescharacteristic
253C22×#67C2311yescharacteristic
254C22×#67C2311yescharacteristic
255C22×#67C2311yescharacteristic
256C22×#67C2311yescharacteristic
257C22×#67C2311yescharacteristic
258C22×#67C2311yescharacteristic
259C22×#67C2311yescharacteristic
260C22×#67C2311yescharacteristic
261C22×#67C2311yescharacteristic
262C22×#67C2311yescharacteristic
263C22×#67C2311yescharacteristic
264C23×Dic3C2311yescharacteristic
265C23×Dic3C2311yescharacteristic
266C23×Dic3C2311yescharacteristic
267C23×Dic3C2311yescharacteristic
268C23×Dic3C2311yescharacteristic
269C22×C4×D3C2311yescharacteristic
270C22×C4×D3C2311yescharacteristic
271C22×Dic6C2311yescharacteristic
272C3×#127—24no—
273C3×#127—24no—
274C3×#124—24no—
275C3×#124—24no—
276C3×#121—24no—
277C3×#121—24no—
278C3×#121—24no—
279C3×#121D418yescomplemented
280C3×#120—24no—
281C3×#120—24no—
282C3×#120—24no—
283C3×#120—24no—
284C3×#117—24no—
285C2×C3×C4⋊C4C2311yescharacteristic
286C2×C3×C4⋊C4C2311yescharacteristic
287C2×C3×C22⋊C4C2311yescharacteristic
288C2×C3×C22⋊C4C2311yescharacteristic
289C2×C3×C22⋊C4C2311yescharacteristic
290C2×C3×C22⋊C4C2311yescharacteristic
291C2×C3×C22⋊C4C2311yescharacteristic
292C2×C3×C22⋊C4C2311yescharacteristic
293C2×C3×C22⋊C4C2311yescharacteristic
294C2×C3×C22⋊C4C2311yescharacteristic
295C2×C3×C22⋊C4C2311yescharacteristic
296C2×C3×C22⋊C4C2311yescharacteristic
297C2×C3×C42C2311yescharacteristic
298C2×C3×C42C2311yescharacteristic
299#953—42no—
300#953—42no—
301C2×#217—42no—
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
324C2×#217C2311yescharacteristic
325C2×#217C2311yescharacteristic
326C2×#217C2311yescharacteristic
327C2×#217C2311yescharacteristic
328C2×#217C2311yescharacteristic
329C2×#217C2311yescharacteristic
330C2×#217C2311yescharacteristic
331C2×#217C2311yescharacteristic
332C2×#217C2311yescharacteristic
333C2×#217C2311yescharacteristic
334C2×#217C2311yescharacteristic
335C2×#217C2311yescharacteristic
336C2×#217C2311yescharacteristic
337C2×#217C2311yescharacteristic
338C2×#217C2311yescharacteristic
339C2×#217C2311yescharacteristic
340#946—42no—
341#939—24no—
342#939—42no—
343#939—42no—
344#939—42no—
345#939—42no—
346#939—42no—
347#938—24no—
348#938—42no—
349#938—42no—
350#937—24no—
351#937—24no—
352#937—42no—
353#937—42no—
354#936—24no—
355#936—42no—
356#935—24no—
357#935—42no—
358D4×Dic3—42no—
359D4×Dic3—42no—
360#929—24no—
361C4×#67—24no—
362C2×(C2×D3)⋊C4C2311yescharacteristic
363C2×(C2×D3)⋊C4C2311yescharacteristic
364C2×(C2×D3)⋊C4C2311yescharacteristic
365C2×(C2×D3)⋊C4C2311yescharacteristic
366C2×(C2×D3)⋊C4C2311yescharacteristic
367C2×(C2×D3)⋊C4C2311yescharacteristic
368C2×(C2×D3)⋊C4C2311yescharacteristic
369C2×(C2×D3)⋊C4C2311yescharacteristic
370C2×(C2×D3)⋊C4C2311yescharacteristic
371C2×(C2×D3)⋊C4C2311yescharacteristic
372C2×(C2×D3)⋊C4C2311yescharacteristic
373C2×(C2×D3)⋊C4C2311yescharacteristic
374C2×(C2×D3)⋊C4C2311yescharacteristic
375C2×(C2×D3)⋊C4C2311yescharacteristic
376C2×C4⋊Dic3C2311yescharacteristic
377C2×C4⋊Dic3C2311yescharacteristic
378C2×C4⋊Dic3C2311yescharacteristic
379C2×C4⋊Dic3C2311yescharacteristic
380C2×C4⋊Dic3C2311yescharacteristic
381C2×Dic3⋊C4C2311yescharacteristic
382C2×Dic3⋊C4C2311yescharacteristic
383C2×Dic3⋊C4C2311yescharacteristic
384C2×Dic3⋊C4C2311yescharacteristic
385C2×Dic3⋊C4C2311yescharacteristic
386C2×Dic3⋊C4C2311yescharacteristic
387C2×Dic3⋊C4C2311yescharacteristic
388C2×Dic3⋊C4C2311yescharacteristic
389C2×Dic3⋊C4C2311yescharacteristic
390C2×Dic3⋊C4C2311yescharacteristic
391C2×Dic3⋊C4C2311yescharacteristic
392C2×Dic3⋊C4C2311yescharacteristic
393C2×C4×Dic3C2311yescharacteristic
394C2×C4×Dic3C2311yescharacteristic
395C2×C4×Dic3C2311yescharacteristic
396C2×C4×Dic3C2311yescharacteristic
397#898—24no—
398#896—24no—
399#885—24no—
400#67⋊C4—24no—
401D3×C22⋊C4—24no—
402#879—24no—
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
426C3⋊#95C2311yescharacteristic
427C3⋊#95C2311yescharacteristic
428C3⋊#95C2311yescharacteristic
429C22×#41C2×D311yescharacteristic, complemented
430C23×D4—31no—
431C23×D4C2×D311yescharacteristic
432#538—68no—
433#535—28no—
434C2×#127C2×D311yescharacteristic
435C2×#127C2×D311yescharacteristic, complemented
436C2×#126—31no—
437C2×#126—31no—
438C2×#124—31no—
439C2×#124—31no—
440C2×#124—31no—
441C2×#124C2×D311yescharacteristic
442C2×#124C2×D311yescharacteristic, complemented
443C2×#123—31no—
444C2×#123—31no—
445C2×#123—31no—
446C2×C22⋊Q8—31no—
447C2×C22⋊Q8—31no—
448C2×#121—31no—
449C2×#121—31no—
450C2×#121—31no—
451C2×#121—31no—
452C2×#121—31no—
453C2×#121—31no—
454C2×#121—31no—
455C2×#121—31no—
456C2×#121—31no—
457C2×#121C2×D311yescharacteristic
458C2×#121C2×D311yescharacteristic
459C2×#121C2×D311yescharacteristic, complemented
460C2×#121C2×D311yescharacteristic, complemented
461C2×#120—31no—
462C2×#120—31no—
463C2×#120—31no—
464C2×#120—31no—
465C2×#120—31no—
466C2×#120—31no—
467C2×#120C2×D311yescharacteristic
468C2×#120C2×D311yescharacteristic
469C2×#120C2×D311yescharacteristic, complemented
470C2×#120C2×D311yescharacteristic, complemented
471C2×C4×D4—31no—
472C2×C4×D4—31no—
473C2×C4×D4—31no—
474C2×C4×D4—31no—
475C2×#117C2×D311yescharacteristic, complemented
476C22×C22⋊C4—31no—
477C22×C22⋊C4—31no—
478#400—31no—
479#399—31no—
480#399—31no—
481#398—31no—
482#397—31no—
483#397—31no—
484#397—31no—
485#397—31no—
486#397—31no—
487#396—31no—
488#396—31no—
489#396—31no—
490#395—31no—
491#394—31no—
492#394—31no—
493#394—31no—
494#394—31no—
495#394—31no—
496#394—31no—
497#394—31no—
498#394—31no—
499#394—31no—
500#394—31no—
501#394—31no—
502#394—31no—
503#394—31no—
504#394—31no—
505#394—31no—
506#394—31no—
507#394—31no—
508#394—31no—
509#394—31no—
510#393—31no—
511#393—31no—
512#393—31no—
513#392—31no—
514#392—31no—
515#392—31no—
516#392—31no—
517#392—31no—
518#392—31no—
519#392—31no—
520#392—31no—
521#392—31no—
522#392—31no—
523#392—31no—
524#392—31no—
525#392—31no—
526#391—31no—
527#391—31no—
528#390—31no—
529#390—31no—
530#390—31no—
531#390—31no—
532#390—31no—
533#390—31no—
534#389—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#388—31no—
545#387—31no—
546#387—31no—
547#387—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#386—31no—
560#386—31no—
561#386—31no—
562#386—31no—
563#386—31no—
564#386—31no—
565#386—31no—
566#386—31no—
567#386—31no—
568#386—31no—
569#385—31no—
570#385—31no—
571#385—31no—
572#385—31no—
573#385—31no—
574#385—31no—
575#385—31no—
576#380—31no—
577#380—31no—
578#379—31no—
579#379—31no—
580#379—31no—
581#379—31no—
582#379—31no—
583C4×C4⋊C4—31no—
584C4×C22⋊C4—31no—
585C2×#95—31no—
586C24×C3—22no—
587C24×C3—22no—
588C24×C3—22no—
589C24×C3—22no—
590C24×C3—41no—
591C24×C3—41no—
592C24×C3—41no—
593C24×C3—41no—
594C24×C3—41no—
595C24×C3—41no—
596C24×C3—41no—
597C24×C3—41no—
598C24×C3—41no—
599C24×C3—41no—
600C24×C3C2411yescharacteristic
601C24×C3C2411yescharacteristic
602C24×C3C2411yescharacteristic
603C24×C3C2411yescharacteristic
604C24×C3C2411yescharacteristic
605C24×C3C2411yescharacteristic
606C24×C3C2411yescharacteristic
607C23×D3—22no—
608C23×D3—22no—
609C23×D3—41no—
610C23×D3—41no—
611C23×D3—41no—
612C23×D3—41no—
613C23×D3—41no—
614C23×D3C2411yescharacteristic
615C23×D3C2411yescharacteristic
616C3×#41—416no—
617C2×C3×Q8—22no—
618C2×C3×Q8—22no—
619C2×C3×Q8—41no—
620C2×C3×D4—22no—
621C2×C3×D4—22no—
622C2×C3×D4—22no—
623C2×C3×D4—22no—
624C2×C3×D4—22no—
625C2×C3×D4—22no—
626C2×C3×D4—22no—
627C2×C3×D4—22no—
628C2×C3×D4—22no—
629C2×C3×D4—22no—
630C2×C3×D4—22no—
631C2×C3×D4—22no—
632C2×C3×D4—22no—
633C2×C3×D4—22no—
634C2×C3×D4—22no—
635C2×C3×D4—22no—
636C2×C3×D4—22no—
637C2×C3×D4—41no—
638C2×C3×D4—41no—
639C2×C3×D4—41no—
640C2×C3×D4—41no—
641C2×C3×D4—41no—
642C2×C3×D4—41no—
643C2×C3×D4—41no—
644C2×C3×D4—41no—
645C2×C3×D4—41no—
646C2×C3×D4—41no—
647C2×C3×D4—41no—
648C2×C3×D4—41no—
649C2×C3×D4—41no—
650C2×C3×D4—416no—
651C2×C3×D4—41no—
652C2×C3×D4—41no—
653C2×C3×D4—41no—
654C2×C3×D4—41no—
655C2×C3×D4—41no—
656C2×C3×D4—41no—
657C2×C3×D4—41no—
658C2×C3×D4—41no—
659C2×C3×D4—41no—
660C2×C3×D4—41no—
661C2×C3×D4—41no—
662C2×C3×D4—41no—
663C2×C3×D4C2×D414yes—
664C2×C3×D4C2×D414yes—
665C2×C3×D4C2×D414yescomplemented
666C22×C3×C4—22no—
667C22×C3×C4—22no—
668C22×C3×C4—22no—
669C22×C3×C4—22no—
670C22×C3×C4—41no—
671C22×C3×C4—41no—
672C22×C3×C4—41no—
673C22×C3×C4—41no—
674C22×C3×C4C2×D414yescomplemented
675C22×C3×C4C2411yescharacteristic
676C22×C3×C4C2411yescharacteristic
677C22×C3×C4C2411yescharacteristic
678C22×C3×C4C2411yescharacteristic
679C22×C3×C4C2411yescharacteristic
680C22×C3×C4C2411yescharacteristic
681C22×C3×C4C2411yescharacteristic
682C22×C3×C4C2411yescharacteristic
683C2×#67—22no—
684C2×#67—22no—
685C2×#67—22no—
686C2×#67—22no—
687C2×#67—22no—
688C2×#67—22no—
689C2×#67—22no—
690C2×#67—22no—
691C2×#67—22no—
692C2×#67—22no—
693C2×#67—22no—
694C2×#67—22no—
695C2×#67—22no—
696C2×#67—22no—
697C2×#67—41no—
698C2×#67—41no—
699C2×#67—41no—
700C2×#67—41no—
701C2×#67—41no—
702C2×#67—41no—
703C2×#67—41no—
704C2×#67—41no—
705C2×#67—41no—
706C2×#67—41no—
707C2×#67—41no—
708C2×#67—41no—
709C2×#67—41no—
710C2×#67—41no—
711C2×#67—41no—
712C2×#67—41no—
713C2×#67—41no—
714C2×#67—41no—
715C2×#67—41no—
716C2×#67—41no—
717C2×#67—41no—
718C2×#67—41no—
719C2×#67—416no—
720C22×Dic3—22no—
721C22×Dic3—22no—
722C22×Dic3—22no—
723C22×Dic3—41no—
724C22×Dic3—41no—
725C22×Dic3—41no—
726C22×Dic3—41no—
727C22×Dic3—41no—
728C22×Dic3—41no—
729C22×Dic3—41no—
730C22×Dic3—41no—
731C22×Dic3—41no—
732C22×Dic3—41no—
733C22×Dic3—41no—
734C22×Dic3—41no—
735C22×Dic3C2411yescharacteristic
736C22×Dic3C2411yescharacteristic
737C22×Dic3C2411yescharacteristic
738C22×Dic3C2411yescharacteristic
739C22×Dic3C2411yescharacteristic
740C22×Dic3C2411yescharacteristic
741C22×Dic3C2411yescharacteristic
742C22×Dic3C2411yescharacteristic
743C22×Dic3C2411yescharacteristic
744C22×Dic3C2411yescharacteristic
745C22×Dic3C2411yescharacteristic
746C22×Dic3C2411yescharacteristic
747C22×Dic3C2411yescharacteristic
748C22×Dic3C2411yescharacteristic
749C2×C4×D3—22no—
750C2×C4×D3—22no—
751C2×C4×D3—41no—
752C2×C4×D3—41no—
753C2×C4×D3—41no—
754C2×C4×D3—41no—
755C2×Dic6—22no—
756C2×Dic6—41no—
757C2×Dic6—41no—
758C3×C4⋊C4—22no—
759C3×C4⋊C4C2×D414yescomplemented
760C3×C22⋊C4—22no—
761C3×C22⋊C4—22no—
762C3×C22⋊C4—22no—
763C3×C22⋊C4—22no—
764C3×C22⋊C4—22no—
765C3×C22⋊C4—22no—
766C3×C22⋊C4—22no—
767C3×C22⋊C4—22no—
768C3×C22⋊C4C2×D414yes—
769C3×C22⋊C4C2×D414yescomplemented
770C3×C42—22no—
771C3×C42—22no—
772#217—22no—
773#217—22no—
774#217—22no—
775#217—22no—
776#217—22no—
777#217—22no—
778#217—22no—
779#217—22no—
780#217—22no—
781#217—22no—
782#217—22no—
783#217—41no—
784#217—41no—
785#217—41no—
786#217—41no—
787#217—41no—
788#217—41no—
789#217—41no—
790#217—41no—
791#217—41no—
792#217—41no—
793#217—41no—
794#217—41no—
795#217—41no—
796#217—41no—
797#217—41no—
798#217—41no—
799#217—41no—
800#217—41no—
801#217—41no—
802#217—41no—
803#217—41no—
804#217—41no—
805#217—41no—
806#217—41no—
807#217—41no—
808#217—41no—
809#217—41no—
810(C2×D3)⋊C4—22no—
811(C2×D3)⋊C4—22no—
812(C2×D3)⋊C4—22no—
813(C2×D3)⋊C4—22no—
814(C2×D3)⋊C4—22no—
815(C2×D3)⋊C4—22no—
816(C2×D3)⋊C4—22no—
817(C2×D3)⋊C4—22no—
818(C2×D3)⋊C4—22no—
819(C2×D3)⋊C4—22no—
820(C2×D3)⋊C4—41no—
821(C2×D3)⋊C4—41no—
822(C2×D3)⋊C4—41no—
823(C2×D3)⋊C4—41no—
824C4⋊Dic3—22no—
825C4⋊Dic3—22no—
826C4⋊Dic3—41no—
827C4⋊Dic3—41no—
828C4⋊Dic3—41no—
829Dic3⋊C4—22no—
830Dic3⋊C4—22no—
831Dic3⋊C4—22no—
832Dic3⋊C4—22no—
833Dic3⋊C4—22no—
834Dic3⋊C4—22no—
835Dic3⋊C4—41no—
836Dic3⋊C4—41no—
837Dic3⋊C4—41no—
838Dic3⋊C4—41no—
839Dic3⋊C4—41no—
840Dic3⋊C4—41no—
841C4×Dic3—22no—
842C4×Dic3—22no—
843C4×Dic3—22no—
844C4×Dic3—41no—
845C25—31no—
846C25C22×D311yescharacteristic
847C25C22×D311yescharacteristic
848C2×#41—24no—
849C2×#41—42no—
850C2×#41—42no—
851C22×Q8—31no—
852C22×Q8C22×D311yescharacteristic
853C22×D4—24no—
854C22×D4—31no—
855C22×D4—31no—
856C22×D4—31no—
857C22×D4—31no—
858C22×D4—31no—
859C22×D4—31no—
860C22×D4—31no—
861C22×D4—31no—
862C22×D4—31no—
863C22×D4—31no—
864C22×D4—31no—
865C22×D4—31no—
866C22×D4—42no—
867C22×D4—42no—
868C22×D4—122no—
869C22×D4—122no—
870C22×D4—122no—
871C22×D4C22×D311yescharacteristic
872C22×D4C22×D311yescharacteristic
873C22×D4C22×D311yescharacteristic
874C22×D4C22×D311yescharacteristic
875C22×D4C22×D311yescharacteristic
876C22×D4C22×D311yescharacteristic
877C22×D4C22×D311yescharacteristic
878C22×D4C22×D311yescharacteristic
879C22×D4C22×D311yescharacteristic
880C22×D4C22×D311yescharacteristic
881C22×D4C22×D311yescharacteristic
882C22×D4C22×D311yescharacteristic
883C22×D4C22×D311yescharacteristic
884C22×D4C22×D311yescharacteristic
885C22×D4C22×D311yescharacteristic
886C23×C4—31no—
887C23×C4—31no—
888C23×C4—31no—
889C23×C4—31no—
890C23×C4—31no—
891C23×C4—31no—
892C23×C4—31no—
893C23×C4C22×D311yescharacteristic
894C23×C4C22×D311yescharacteristic
895C23×C4C22×D311yescharacteristic
896#127—24no—
897#127—24no—
898#126—64no—
899#126—64no—
900#124—24no—
901#124—24no—
902#124—64no—
903#124—64no—
904#124—122no—
905#123—64no—
906#123—64no—
907#123—122no—
908C22⋊Q8—64no—
909C22⋊Q8—122no—
910#121—24no—
911#121—24no—
912#121—24no—
913#121—64no—
914#121—64no—
915#121—122no—
916#121—122no—
917#121—122no—
918#121—122no—
919#121—122no—
920#121—122no—
921#121—122no—
922#121#6718yescomplemented
923#120—24no—
924#120—24no—
925#120—24no—
926#120—24no—
927#120—64no—
928#120—64no—
929#120—122no—
930#120—122no—
931#120—122no—
932#120—122no—
933C4×D4—64no—
934C4×D4—64no—
935C4×D4—122no—
936C4×D4—122no—
937#117—24no—
938C2×C4⋊C4—31no—
939C2×C4⋊C4—31no—
940C2×C4⋊C4—31no—
941C2×C4⋊C4—31no—
942C2×C4⋊C4—31no—
943C2×C4⋊C4—31no—
944C2×C4⋊C4—31no—
945C2×C4⋊C4—31no—
946C2×C4⋊C4—31no—
947C2×C4⋊C4—31no—
948C2×C4⋊C4—31no—
949C2×C4⋊C4—31no—
950C2×C4⋊C4—31no—
951C2×C4⋊C4—31no—
952C2×C4⋊C4—31no—
953C2×C4⋊C4—31no—
954C2×C4⋊C4—31no—
955C2×C4⋊C4C22×D311yescharacteristic
956C2×C4⋊C4C22×D311yescharacteristic
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—31no—
978C2×C22⋊C4—31no—
979C2×C22⋊C4—31no—
980C2×C22⋊C4—31no—
981C2×C22⋊C4—31no—
982C2×C22⋊C4—31no—
983C2×C22⋊C4—31no—
984C2×C22⋊C4—31no—
985C2×C22⋊C4—31no—
986C2×C22⋊C4—31no—
987C2×C22⋊C4—31no—
988C2×C22⋊C4—31no—
989C2×C22⋊C4—31no—
990C2×C22⋊C4—31no—
991C2×C22⋊C4—31no—
992C2×C22⋊C4—31no—
993C2×C22⋊C4—31no—
994C2×C22⋊C4—31no—
995C2×C22⋊C4—31no—
996C2×C22⋊C4—31no—
997C2×C22⋊C4—31no—
998C2×C22⋊C4—31no—
999C2×C22⋊C4—31no—
1000C2×C22⋊C4—31no—
1001C2×C22⋊C4—31no—
1002C2×C22⋊C4—31no—
1003C2×C22⋊C4—31no—
1004C2×C22⋊C4—31no—
1005C2×C22⋊C4—31no—
1006C2×C22⋊C4—31no—
1007C2×C22⋊C4—31no—
1008C2×C22⋊C4—31no—
1009C2×C22⋊C4—64no—
1010C2×C22⋊C4—122no—
1011C2×C22⋊C4C22×D311yescharacteristic
1012C2×C22⋊C4C22×D311yescharacteristic
1013C2×C22⋊C4C22×D311yescharacteristic
1014C2×C22⋊C4C22×D311yescharacteristic
1015C2×C22⋊C4C22×D311yescharacteristic
1016C2×C22⋊C4C22×D311yescharacteristic
1017C2×C22⋊C4C22×D311yescharacteristic
1018C2×C22⋊C4C22×D311yescharacteristic
1019C2×C22⋊C4C22×D311yescharacteristic
1020C2×C22⋊C4C22×D311yescharacteristic
1021C2×C42—31no—
1022C2×C42—31no—
1023C2×C42—31no—
1024C2×C42—31no—
1025C2×C42C22×D311yescharacteristic
1026C2×C42C22×D311yescharacteristic
1027#95—31no—
1028#95—31no—
1029#95—31no—
1030#95—31no—
1031#95—31no—
1032#95—31no—
1033#95—31no—
1034#95—31no—
1035#95—31no—
1036#95—31no—
1037#95—31no—
1038#95—31no—
1039#95—31no—
1040#95—31no—
1041#95—31no—
1042#95—31no—
1043#95—31no—
1044#95—31no—
1045#95—31no—
1046#95—31no—
1047#95—31no—
1048#95—31no—
1049#95—31no—
1050#95—31no—
1051#95—31no—
1052#95—31no—
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—21no—
1071C23×C3—21no—
1072C23×C3—21no—
1073C23×C3—21no—
1074C23×C3—21no—
1075C23×C3—21no—
1076C23×C3—21no—
1077C23×C3—21no—
1078C23×C3—21no—
1079C23×C3—21no—
1080C23×C3—21no—
1081C23×C3—21no—
1082C23×C3—21no—
1083C23×C3—21no—
1084C23×C3—21no—
1085C23×C3—21no—
1086C23×C3—21no—
1087C23×C3—21no—
1088C23×C3—21no—
1089C23×C3—21no—
1090C23×C3—21no—
1091C23×C3—21no—
1092C23×C3—21no—
1093C23×C3—21no—
1094C23×C3—21no—
1095C23×C3—21no—
1096C23×C3—21no—
1097C23×C3—21no—
1098C23×C3—44no—
1099C23×C3—44no—
1100C23×C3—44no—
1101C23×C3—44no—
1102C23×C3—82no—
1103C23×C3—82no—
1104C23×C3—82no—
1105C23×C3—82no—
1106C23×C3—82no—
1107C23×C3—82no—
1108C23×C3—82no—
1109C23×C3—82no—
1110C23×C3—82no—
1111C23×C3—82no—
1112C23×C3C22×D412yes—
1113C23×C3C22×D412yes—
1114C23×C3C22×D412yes—
1115C23×C3H(5,𝔽2)12yes—
1116C23×C3C2511yescharacteristic
1117C22×D3—21no—
1118C22×D3—21no—
1119C22×D3—21no—
1120C22×D3—21no—
1121C22×D3—21no—
1122C22×D3—21no—
1123C22×D3—21no—
1124C22×D3—21no—
1125C22×D3—21no—
1126C22×D3—21no—
1127C22×D3—21no—
1128C22×D3—21no—
1129C22×D3—21no—
1130C22×D3—44no—
1131C22×D3—44no—
1132C22×D3—82no—
1133C22×D3—82no—
1134C22×D3—82no—
1135C22×D3—82no—
1136C22×D3—82no—
1137C22×D3H(5,𝔽2)12yes—
1138C3×Q8—44no—
1139C3×D4—44no—
1140C3×D4—44no—
1141C3×D4—44no—
1142C3×D4—44no—
1143C3×D4—44no—
1144C3×D4—44no—
1145C3×D4—44no—
1146C3×D4—44no—
1147C3×D4—44no—
1148C3×D4—82no—
1149C3×D4—82no—
1150C3×D4—82no—
1151C3×D4—82no—
1152C3×D4—82no—
1153C3×D4—82no—
1154C2×C3×C4—28no—
1155C2×C3×C4—21no—
1156C2×C3×C4—21no—
1157C2×C3×C4—21no—
1158C2×C3×C4—21no—
1159C2×C3×C4—21no—
1160C2×C3×C4—21no—
1161C2×C3×C4—21no—
1162C2×C3×C4—21no—
1163C2×C3×C4—21no—
1164C2×C3×C4—21no—
1165C2×C3×C4—21no—
1166C2×C3×C4—21no—
1167C2×C3×C4—21no—
1168C2×C3×C4—21no—
1169C2×C3×C4—21no—
1170C2×C3×C4—21no—
1171C2×C3×C4—21no—
1172C2×C3×C4—21no—
1173C2×C3×C4—21no—
1174C2×C3×C4—44no—
1175C2×C3×C4—44no—
1176C2×C3×C4C22×D412yes—
1177C2×C3×C4C22×D412yes—
1178C2×C3×C4C22×D412yes—
1179C2×C3×C4C22×D412yes—
1180C2×C3×C4H(5,𝔽2)12yes—
1181#67—44no—
1182#67—44no—
1183#67—44no—
1184#67—44no—
1185#67—44no—
1186#67—44no—
1187#67—82no—
1188#67—82no—
1189#67—82no—
1190#67—82no—
1191#67—82no—
1192#67—82no—
1193C2×Dic3—21no—
1194C2×Dic3—21no—
1195C2×Dic3—21no—
1196C2×Dic3—21no—
1197C2×Dic3—21no—
1198C2×Dic3—21no—
1199C2×Dic3—21no—
1200C2×Dic3—21no—
1201C2×Dic3—21no—
1202C2×Dic3—21no—
1203C2×Dic3—21no—
1204C2×Dic3—21no—
1205C2×Dic3—21no—
1206C2×Dic3—21no—
1207C2×Dic3—21no—
1208C2×Dic3—21no—
1209C2×Dic3—21no—
1210C2×Dic3—21no—
1211C2×Dic3—21no—
1212C2×Dic3—21no—
1213C2×Dic3—21no—
1214C2×Dic3—21no—
1215C2×Dic3—21no—
1216C2×Dic3—21no—
1217C2×Dic3—21no—
1218C2×Dic3—21no—
1219C2×Dic3—21no—
1220C2×Dic3—21no—
1221C2×Dic3—21no—
1222C2×Dic3—21no—
1223C2×Dic3—21no—
1224C2×Dic3—21no—
1225C2×Dic3—21no—
1226C2×Dic3—21no—
1227C2×Dic3—21no—
1228C2×Dic3—21no—
1229C2×Dic3—21no—
1230C2×Dic3—21no—
1231C2×Dic3—21no—
1232C2×Dic3—21no—
1233C2×Dic3—21no—
1234C2×Dic3—44no—
1235C2×Dic3—82no—
1236C2×Dic3—82no—
1237C2×Dic3—82no—
1238C2×Dic3—82no—
1239C2×Dic3H(5,𝔽2)12yes—
1240C4×D3—82no—
1241C4×D3—82no—
1242Dic6—82no—
1243C24—22no—
1244C24—22no—
1245C24—22no—
1246C24—22no—
1247C24—31no—
1248C24—31no—
1249C24—41no—
1250C24—41no—
1251C24—41no—
1252C24—41no—
1253C24—41no—
1254C24—41no—
1255C24—41no—
1256C24—41no—
1257C24—41no—
1258C24—41no—
1259C24—62no—
1260C24—62no—
1261C24—121no—
1262C24—121no—
1263C24—121no—
1264C24—121no—
1265C24—121no—
1266C24C23×D311yescharacteristic
1267C24C23×D311yescharacteristic
1268C24C23×D311yescharacteristic
1269C24C23×D311yescharacteristic
1270C24C23×D311yescharacteristic
1271C24C23×D311yescharacteristic
1272C24C23×D311yescharacteristic
1273#41—416no—
1274C2×Q8—22no—
1275C2×Q8—22no—
1276C2×Q8—41no—
1277C2×Q8—62no—
1278C2×Q8—121no—
1279C2×Q8—121no—
1280C2×D4—22no—
1281C2×D4—22no—
1282C2×D4—22no—
1283C2×D4—22no—
1284C2×D4—22no—
1285C2×D4—22no—
1286C2×D4—22no—
1287C2×D4—22no—
1288C2×D4—22no—
1289C2×D4—22no—
1290C2×D4—22no—
1291C2×D4—22no—
1292C2×D4—22no—
1293C2×D4—22no—
1294C2×D4—22no—
1295C2×D4—22no—
1296C2×D4—22no—
1297C2×D4—41no—
1298C2×D4—41no—
1299C2×D4—41no—
1300C2×D4—41no—
1301C2×D4—41no—
1302C2×D4—41no—
1303C2×D4—41no—
1304C2×D4—41no—
1305C2×D4—41no—
1306C2×D4—41no—
1307C2×D4—41no—
1308C2×D4—41no—
1309C2×D4—41no—
1310C2×D4—416no—
1311C2×D4—41no—
1312C2×D4—41no—
1313C2×D4—41no—
1314C2×D4—41no—
1315C2×D4—41no—
1316C2×D4—41no—
1317C2×D4—41no—
1318C2×D4—41no—
1319C2×D4—41no—
1320C2×D4—41no—
1321C2×D4—41no—
1322C2×D4—41no—
1323C2×D4—62no—
1324C2×D4—62no—
1325C2×D4—62no—
1326C2×D4—62no—
1327C2×D4—62no—
1328C2×D4—62no—
1329C2×D4—62no—
1330C2×D4—62no—
1331C2×D4—62no—
1332C2×D4—62no—
1333C2×D4—62no—
1334C2×D4—62no—
1335C2×D4—62no—
1336C2×D4—62no—
1337C2×D4—121no—
1338C2×D4—121no—
1339C2×D4—121no—
1340C2×D4—121no—
1341C2×D4—121no—
1342C2×D4—121no—
1343C2×D4—121no—
1344C2×D4—121no—
1345C2×D4—121no—
1346C2×D4—121no—
1347C2×D4—121no—
1348C2×D4—121no—
1349C2×D4—121no—
1350C2×D4—121no—
1351C2×D4—121no—
1352C2×D4—121no—
1353C2×D4—121no—
1354C2×D4—121no—
1355C2×D4—121no—
1356C2×D4—121no—
1357C2×D4—121no—
1358C2×D4—121no—
1359C2×D4—1216no—
1360C2×D4C2×#6714yes—
1361C2×D4C2×#6714yes—
1362C2×D4C2×#6714yescomplemented
1363C22×C4—22no—
1364C22×C4—22no—
1365C22×C4—22no—
1366C22×C4—22no—
1367C22×C4—31no—
1368C22×C4—31no—
1369C22×C4—31no—
1370C22×C4—31no—
1371C22×C4—31no—
1372C22×C4—31no—
1373C22×C4—31no—
1374C22×C4—31no—
1375C22×C4—31no—
1376C22×C4—31no—
1377C22×C4—31no—
1378C22×C4—31no—
1379C22×C4—31no—
1380C22×C4—31no—
1381C22×C4—41no—
1382C22×C4—41no—
1383C22×C4—41no—
1384C22×C4—41no—
1385C22×C4—62no—
1386C22×C4—62no—
1387C22×C4—62no—
1388C22×C4—62no—
1389C22×C4—62no—
1390C22×C4—121no—
1391C22×C4—121no—
1392C22×C4—121no—
1393C22×C4—121no—
1394C22×C4—121no—
1395C22×C4—121no—
1396C22×C4—121no—
1397C22×C4—121no—
1398C22×C4—121no—
1399C22×C4—121no—
1400C22×C4—121no—
1401C22×C4—121no—
1402C22×C4—121no—
1403C22×C4—121no—
1404C22×C4—121no—
1405C22×C4—121no—
1406C22×C4C2×#6714yescomplemented
1407C22×C4C23×D311yescharacteristic
1408C22×C4C23×D311yescharacteristic
1409C22×C4C23×D311yescharacteristic
1410C22×C4C23×D311yescharacteristic
1411C22×C4C23×D311yescharacteristic
1412C22×C4C23×D311yescharacteristic
1413C22×C4C23×D311yescharacteristic
1414C22×C4C23×D311yescharacteristic
1415C4⋊C4—22no—
1416C4⋊C4—62no—
1417C4⋊C4—62no—
1418C4⋊C4—62no—
1419C4⋊C4—62no—
1420C4⋊C4—62no—
1421C4⋊C4—62no—
1422C4⋊C4—62no—
1423C4⋊C4—62no—
1424C4⋊C4—121no—
1425C4⋊C4—121no—
1426C4⋊C4—121no—
1427C4⋊C4—121no—
1428C4⋊C4—121no—
1429C4⋊C4—121no—
1430C4⋊C4—121no—
1431C4⋊C4—121no—
1432C4⋊C4—121no—
1433C4⋊C4C2×#6714yescomplemented
1434C22⋊C4—22no—
1435C22⋊C4—22no—
1436C22⋊C4—22no—
1437C22⋊C4—22no—
1438C22⋊C4—22no—
1439C22⋊C4—22no—
1440C22⋊C4—22no—
1441C22⋊C4—22no—
1442C22⋊C4—62no—
1443C22⋊C4—62no—
1444C22⋊C4—62no—
1445C22⋊C4—62no—
1446C22⋊C4—62no—
1447C22⋊C4—62no—
1448C22⋊C4—62no—
1449C22⋊C4—62no—
1450C22⋊C4—62no—
1451C22⋊C4—62no—
1452C22⋊C4—62no—
1453C22⋊C4—62no—
1454C22⋊C4—62no—
1455C22⋊C4—62no—
1456C22⋊C4—62no—
1457C22⋊C4—62no—
1458C22⋊C4—62no—
1459C22⋊C4—62no—
1460C22⋊C4—62no—
1461C22⋊C4—62no—
1462C22⋊C4—62no—
1463C22⋊C4—121no—
1464C22⋊C4—121no—
1465C22⋊C4—121no—
1466C22⋊C4—121no—
1467C22⋊C4—121no—
1468C22⋊C4—121no—
1469C22⋊C4—121no—
1470C22⋊C4—121no—
1471C22⋊C4—121no—
1472C22⋊C4—121no—
1473C22⋊C4—121no—
1474C22⋊C4—121no—
1475C22⋊C4—121no—
1476C22⋊C4—121no—
1477C22⋊C4—121no—
1478C22⋊C4—121no—
1479C22⋊C4—121no—
1480C22⋊C4—121no—
1481C22⋊C4—121no—
1482C22⋊C4—121no—
1483C22⋊C4—121no—
1484C22⋊C4—121no—
1485C22⋊C4—121no—
1486C22⋊C4—121no—
1487C22⋊C4—121no—
1488C22⋊C4—121no—
1489C22⋊C4—121no—
1490C22⋊C4—121no—
1491C22⋊C4—121no—
1492C22⋊C4—121no—
1493C22⋊C4—121no—
1494C22⋊C4C2×#6714yes—
1495C22⋊C4C2×#6714yescomplemented
1496C42—22no—
1497C42—22no—
1498C42—62no—
1499C42—62no—
1500C42—62no—
1501C42—121no—
1502C22×C3—22no—
1503C22×C3—22no—
1504C22×C3—22no—
1505C22×C3—22no—
1506C22×C3—22no—
1507C22×C3—22no—
1508C22×C3—22no—
1509C22×C3—22no—
1510C22×C3—22no—
1511C22×C3—22no—
1512C22×C3—22no—
1513C22×C3—22no—
1514C22×C3—41no—
1515C22×C3—41no—
1516C22×C3—41no—
1517C22×C3—41no—
1518C22×C3—41no—
1519C22×C3—41no—
1520C22×C3—41no—
1521C22×C3—41no—
1522C22×C3—41no—
1523C22×C3—41no—
1524C22×C3—41no—
1525C22×C3—41no—
1526C22×C3—41no—
1527C22×C3—41no—
1528C22×C3—41no—
1529C22×C3—41no—
1530C22×C3—41no—
1531C22×C3—41no—
1532C22×C3—41no—
1533C22×C3—41no—
1534C22×C3—41no—
1535C22×C3—41no—
1536C22×C3—41no—
1537C22×C3—41no—
1538C22×C3—41no—
1539C22×C3—41no—
1540C22×C3—41no—
1541C22×C3—41no—
1542C22×C3—41no—
1543C22×C3—41no—
1544C22×C3—41no—
1545C22×C3—41no—
1546C22×C3—41no—
1547C22×C3—41no—
1548C22×C3—41no—
1549C22×C3—41no—
1550C22×C3—41no—
1551C22×C3—88no—
1552C22×C3—88no—
1553C22×C3C23×D411yescharacteristic
1554C22×C3C2×H(5,𝔽2)11yescharacteristic
1555C22×C3C2×H(5,𝔽2)11yescharacteristic
1556C22×C3C2×H(5,𝔽2)11yescharacteristic
1557C22×C3C2×H(5,𝔽2)11yescharacteristic
1558C22×C3#58511yescharacteristic
1559C22×C3#58511yescharacteristic
1560C2×D3—22no—
1561C2×D3—22no—
1562C2×D3—22no—
1563C2×D3—41no—
1564C2×D3—41no—
1565C2×D3—41no—
1566C2×D3—41no—
1567C2×D3—41no—
1568C2×D3—41no—
1569C2×D3—41no—
1570C2×D3—41no—
1571C2×D3—41no—
1572C2×D3—41no—
1573C2×D3—41no—
1574C2×D3—88no—
1575C3×C4—22no—
1576C3×C4—22no—
1577C3×C4—22no—
1578C3×C4—22no—
1579C3×C4—22no—
1580C3×C4—41no—
1581C3×C4—41no—
1582C3×C4—41no—
1583Dic3—22no—
1584Dic3—41no—
1585Dic3—41no—
1586Dic3—41no—
1587Dic3—41no—
1588Dic3—41no—
1589Dic3—41no—
1590Dic3—41no—
1591Dic3—41no—
1592Dic3—41no—
1593Dic3—41no—
1594Dic3—41no—
1595Dic3—41no—
1596Dic3—41no—
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—21no—
1607C23—21no—
1608C23—21no—
1609C23—21no—
1610C23—21no—
1611C23—21no—
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—21no—
1616C23—21no—
1617C23—21no—
1618C23—21no—
1619C23—21no—
1620C23—21no—
1621C23—21no—
1622C23—21no—
1623C23—21no—
1624C23—21no—
1625C23—21no—
1626C23—21no—
1627C23—21no—
1628C23—21no—
1629C23—21no—
1630C23—21no—
1631C23—21no—
1632C23—21no—
1633C23—21no—
1634C23—21no—
1635C23—21no—
1636C23—21no—
1637C23—21no—
1638C23—21no—
1639C23—21no—
1640C23—21no—
1641C23—21no—
1642C23—32no—
1643C23—44no—
1644C23—44no—
1645C23—44no—
1646C23—44no—
1647C23—61no—
1648C23—61no—
1649C23—61no—
1650C23—61no—
1651C23—61no—
1652C23—61no—
1653C23—61no—
1654C23—61no—
1655C23—61no—
1656C23—61no—
1657C23—61no—
1658C23—61no—
1659C23—61no—
1660C23—82no—
1661C23—82no—
1662C23—82no—
1663C23—82no—
1664C23—82no—
1665C23—82no—
1666C23—82no—
1667C23—82no—
1668C23—82no—
1669C23—82no—
1670C23—124no—
1671C23—124no—
1672C23—242no—
1673C23—242no—
1674C23—242no—
1675C23—242no—
1676C23—242no—
1677C23#100412yes—
1678C23C22×#6712yes—
1679C23C22×#6712yes—
1680C23C22×#6712yes—
1681C23C24×D311yescharacteristic
1682Q8—44no—
1683Q8—242no—
1684D4—44no—
1685D4—44no—
1686D4—44no—
1687D4—44no—
1688D4—44no—
1689D4—44no—
1690D4—44no—
1691D4—44no—
1692D4—44no—
1693D4—82no—
1694D4—82no—
1695D4—82no—
1696D4—82no—
1697D4—82no—
1698D4—82no—
1699D4—124no—
1700D4—124no—
1701D4—124no—
1702D4—124no—
1703D4—124no—
1704D4—124no—
1705D4—242no—
1706D4—242no—
1707D4—242no—
1708D4—242no—
1709D4—242no—
1710D4—242no—
1711C2×C4—28no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—32no—
1732C2×C4—44no—
1733C2×C4—44no—
1734C2×C4—61no—
1735C2×C4—61no—
1736C2×C4—61no—
1737C2×C4—61no—
1738C2×C4—61no—
1739C2×C4—61no—
1740C2×C4—61no—
1741C2×C4—61no—
1742C2×C4—61no—
1743C2×C4—61no—
1744C2×C4—61no—
1745C2×C4—61no—
1746C2×C4—61no—
1747C2×C4—61no—
1748C2×C4—61no—
1749C2×C4—61no—
1750C2×C4—61no—
1751C2×C4—61no—
1752C2×C4—61no—
1753C2×C4—61no—
1754C2×C4—61no—
1755C2×C4—61no—
1756C2×C4—61no—
1757C2×C4—61no—
1758C2×C4—61no—
1759C2×C4—61no—
1760C2×C4—61no—
1761C2×C4—61no—
1762C2×C4—61no—
1763C2×C4—61no—
1764C2×C4—61no—
1765C2×C4—61no—
1766C2×C4—61no—
1767C2×C4—61no—
1768C2×C4—61no—
1769C2×C4—61no—
1770C2×C4—61no—
1771C2×C4—61no—
1772C2×C4—61no—
1773C2×C4—61no—
1774C2×C4—61no—
1775C2×C4—124no—
1776C2×C4—242no—
1777C2×C4—242no—
1778C2×C4—242no—
1779C2×C4—242no—
1780C2×C4—242no—
1781C2×C4—242no—
1782C2×C4#100412yes—
1783C2×C4C22×#6712yes—
1784C2×C4C22×#6712yes—
1785C2×C4C22×#6712yes—
1786C2×C4C22×#6712yes—
1787C2×C3—42no—
1788C2×C3—42no—
1789C2×C3—42no—
1790C2×C3—42no—
1791C2×C3—81no—
1792C2×C3—81no—
1793C2×C3—81no—
1794C2×C3#348411yescharacteristic
1795C2×C3#348811yescharacteristic
1796C2×C3#349611yescharacteristic
1797C2×C3#353211yescharacteristic
1798C2×C3#353311yescharacteristic
1799C2×C3#354611yescharacteristic
1800C2×C3#355811yescharacteristic
1801D3—42no—
1802D3—81no—
1803C22—22no—
1804C22—22no—
1805C22—22no—
1806C22—22no—
1807C22—22no—
1808C22—22no—
1809C22—22no—
1810C22—22no—
1811C22—22no—
1812C22—22no—
1813C22—22no—
1814C22—22no—
1815C22—41no—
1816C22—41no—
1817C22—41no—
1818C22—41no—
1819C22—41no—
1820C22—41no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—41no—
1830C22—41no—
1831C22—41no—
1832C22—41no—
1833C22—41no—
1834C22—41no—
1835C22—41no—
1836C22—41no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
1840C22—41no—
1841C22—41no—
1842C22—41no—
1843C22—41no—
1844C22—41no—
1845C22—41no—
1846C22—41no—
1847C22—41no—
1848C22—41no—
1849C22—41no—
1850C22—41no—
1851C22—41no—
1852C22—62no—
1853C22—62no—
1854C22—62no—
1855C22—88no—
1856C22—88no—
1857C22—121no—
1858C22—121no—
1859C22—121no—
1860C22—121no—
1861C22—121no—
1862C22—121no—
1863C22—121no—
1864C22—121no—
1865C22—121no—
1866C22—121no—
1867C22—121no—
1868C22—248no—
1869C22C2×#100411yescharacteristic
1870C22C2×#100411yescharacteristic
1871C22D3×H(5,𝔽2)11yescharacteristic
1872C22D3×H(5,𝔽2)11yescharacteristic
1873C22#596611yescharacteristic
1874C22#596611yescharacteristic
1875C22C23×#6711yescharacteristic
1876C4—22no—
1877C4—22no—
1878C4—22no—
1879C4—22no—
1880C4—22no—
1881C4—41no—
1882C4—41no—
1883C4—41no—
1884C4—62no—
1885C4—121no—
1886C4—121no—
1887C4—121no—
1888C4—121no—
1889C4—121no—
1890C4—121no—
1891C4—121no—
1892C4—121no—
1893C4—121no—
1894C4—121no—
1895C4—121no—
1896C4—121no—
1897C4—121no—
1898C3#4636711yescharacteristic, complemented, Sylow
1899C2—42no—
1900C2—42no—
1901C2—42no—
1902C2—42no—
1903C2—81no—
1904C2—81no—
1905C2—81no—
1906C2—122no—
1907C2—241no—
1908C2#8632111yescharacteristic
1909C2#8632511yescharacteristic
1910C2#8633311yescharacteristic
1911C2#8633711yescharacteristic
1912C2#8723911yescharacteristic
1913C2#8728111yescharacteristic
1914C2#8728511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC2×C3×#535C2
hypercenterC2×#535D3
hypocenterC3#46367
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×#535

Complements

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

NH ≅ G/Ntype
1. C2×C3×#535C2semidirect
2. C2×#5613C2semidirect
3. #84097C2semidirect
4. #84091C2semidirect
5. #84052C2semidirect
6. #84047C2semidirect
7. #83190C2semidirect
8. #83186C2semidirect
9. #83182C2semidirect
10. #83178C2semidirect
11. #82988C2semidirect
12. #82987C2semidirect
13. #82965C2semidirect
14. #82964C2semidirect
15. #82721C2semidirect
16. #82719C2semidirect
17. #82713C2semidirect
18. #82696C2semidirect
19. #82694C2semidirect
20. #82671C2semidirect
21. #82634C2semidirect
22. #82608C2semidirect
23. #82605C2semidirect
24. #82599C2semidirect
25. #82598C2semidirect
26. #82595C2semidirect
27. #82587C2semidirect
28. #82586C2semidirect
29. #82582C2semidirect
30. #82281C2semidirect
31. #82253C2semidirect
33. C22×C3×#41C22semidirect
38. C2×C3×#127C22semidirect
40. C2×C3×#124C22semidirect
43. C2×C3×#121C22semidirect
44. C2×C3×#121C22semidirect
47. C2×C3×#120C22semidirect
48. C2×C3×#120C22semidirect
49. C2×C3×#117C22semidirect
52. C22×#217C22semidirect
53. C2×#946C22semidirect
55. C2×#939C22semidirect
56. C2×#939C22semidirect
57. C2×#939C22semidirect
58. C2×#939C22semidirect
59. C2×#939C22semidirect
61. C2×#938C22semidirect
62. C2×#938C22semidirect
65. C2×#937C22semidirect
66. C2×#937C22semidirect
67. C2×#936C22semidirect
68. C2×#936C22semidirect
70. C2×#935C22semidirect
71. C2×D4×Dic3C22semidirect
72. C2×D4×Dic3C22semidirect
73. C2×#929C22semidirect
74. C2×C4×#67C22semidirect
76. C2×#898C22semidirect
77. C2×#896C22semidirect
78. C2×#885C22semidirect
79. C2×#67⋊C4C22semidirect
80. C2×D3×C22⋊C4C22semidirect
81. C2×#879C22semidirect
85. #5247C22semidirect
86. #5231C22semidirect
87. #5230C22semidirect
88. #5229C22semidirect
95. #5223C22semidirect
96. #5223C22semidirect
97. #5223C22semidirect
98. #5223C22semidirect
99. #5223C22semidirect
100. #5223C22semidirect
101. #5223C22semidirect
104. #5222C22semidirect
105. #5222C22semidirect
106. #5222C22semidirect
107. #5222C22semidirect
108. #5222C22semidirect
109. #5222C22semidirect
110. #5222C22semidirect
111. #5222C22semidirect
112. #5222C22semidirect
113. #5222C22semidirect
114. #5222C22semidirect
115. #5221C22semidirect
116. #5221C22semidirect
117. #5221C22semidirect
121. #5220C22semidirect
122. #5220C22semidirect
123. #5220C22semidirect
124. #5220C22semidirect
125. #5220C22semidirect
126. #5220C22semidirect
127. #5220C22semidirect
128. #5220C22semidirect
129. #5220C22semidirect
132. #5213C22semidirect
133. #5213C22semidirect
134. #5212C22semidirect
135. #5210C22semidirect
136. #5210C22semidirect
137. #5210C22semidirect
138. #5210C22semidirect
139. C2×C3⋊#95C22semidirect
140. #4993C22semidirect
141. #4992C22semidirect
142. #4985C22semidirect
143. #4983C22semidirect
144. #4980C22semidirect
145. #4980C22semidirect
148. #4961C22semidirect
149. #4961C22semidirect
150. #4961C22semidirect
151. #4959C22semidirect
152. #4958C22semidirect
154. #4957C22semidirect
155. #4957C22semidirect
157. #4956C22semidirect
158. #4956C22semidirect
159. #4956C22semidirect
160. #4955C22semidirect
161. #4953C22semidirect
162. #4952C22semidirect
163. #4952C22semidirect
164. #4952C22semidirect
165. #4951C22semidirect
166. #4951C22semidirect
167. #4950C22semidirect
168. #4950C22semidirect
169. #4949C22semidirect
170. #4948C22semidirect
171. #4948C22semidirect
172. #4948C22semidirect
173. #4947C22semidirect
174. #4947C22semidirect
175. #4946C22semidirect
176. #4945C22semidirect
177. #4944C22semidirect
178. #4944C22semidirect
179. #4944C22semidirect
180. #4944C22semidirect
181. #4942C22semidirect
182. #4940C22semidirect
183. #4940C22semidirect
184. #4940C22semidirect
185. C4×(C2×D3)⋊C4C22semidirect
186. #4933C22semidirect
187. C4×Dic3⋊C4C22semidirect
188. #4929C22semidirect
189. #4928C22semidirect
191. C2×#535D3semidirect
279. C3×#121D4semidirect
429. C22×#41C2×D3semidirect
435. C2×#127C2×D3semidirect
442. C2×#124C2×D3semidirect
459. C2×#121C2×D3semidirect
460. C2×#121C2×D3semidirect
469. C2×#120C2×D3semidirect
470. C2×#120C2×D3semidirect
475. C2×#117C2×D3semidirect
665. C2×C3×D4C2×D4semidirect
674. C22×C3×C4C2×D4semidirect
759. C3×C4⋊C4C2×D4semidirect
769. C3×C22⋊C4C2×D4semidirect
922. #121#67semidirect
1362. C2×D4C2×#67semidirect
1406. C22×C4C2×#67semidirect
1433. C4⋊C4C2×#67semidirect
1495. C22⋊C4C2×#67semidirect
1898. C3#46367semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#5352
C2×#56132
#840972
#840912
#840522
#840472
#831902
#831862
#831822
#831782
#829882
#829872
#829652
#829642
#827212
#827192
#827132
#826962
#826942
#826712
#826342
#826082
#826052
#825992
#825982
#825952
#825872
#825862
#825822
#822812
#822532
#463673