Finite Group Databasebeta

← #11633483

Subgroups — #11633483

Order 768.

2584 conjugacy classes of subgroups.

The subgroup lattice has 1678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5661C211yesmaximal, characteristic, complemented
2C2×#5547C211yesmaximal, characteristic, complemented
3C3×#2419C211yesmaximal, characteristic, complemented
4#82908C211yesmaximal, characteristic, complemented
5#82405C211yesmaximal, characteristic, complemented
6#78147C211yesmaximal, characteristic, complemented
7#78138C211yesmaximal, characteristic, complemented
8#77788C211yesmaximal, characteristic, complemented
9#77742C211yesmaximal, characteristic, complemented
10#77696C211yesmaximal, characteristic, complemented
11#77689C211yesmaximal, characteristic, complemented
12#77491C211yesmaximal, characteristic, complemented
13#77462C211yesmaximal, characteristic, complemented
14#75309C211yesmaximal, characteristic, complemented
15#75305C211yesmaximal, characteristic, complemented
16#75000C211yesmaximal, characteristic, complemented
17#74984C211yesmaximal, characteristic, complemented
18#74910C211yesmaximal, characteristic, complemented
19#74677C211yesmaximal, characteristic, complemented
20#74604C211yesmaximal, characteristic, complemented
21#74435C211yesmaximal, characteristic, complemented
22#74404C211yesmaximal, characteristic, complemented
23#74379C211yesmaximal, characteristic, complemented
24#74069C211yesmaximal, characteristic, complemented
25#74066C211yesmaximal, characteristic, complemented
26#74066C211yesmaximal, characteristic, complemented
27#74050C211yesmaximal, characteristic, complemented
28#73939C211yesmaximal, characteristic, complemented
29#73935C211yesmaximal, characteristic, complemented
30#73368C211yesmaximal, characteristic, complemented
31#73338C211yesmaximal, characteristic, complemented
32#59020—31nomaximal, Sylow
33C22×#235C2211yescharacteristic
34C23×C4×D3C2211yescharacteristic
35C2×C3×#123C2211yescharacteristic
36C2×C3×C4×D4C2211yescharacteristic
37C2×#939C2211yescharacteristic
38C2×#938C2211yescharacteristic
39C2×#937C2211yescharacteristic
40C2×#930C2211yescharacteristic
41C2×C4×#67C2211yescharacteristic
42C2×C4×#67C2211yescharacteristic
43C2×C4×#67C2211yescharacteristic, complemented
44C2×C4×#67C2211yescharacteristic, complemented
45C2×C4×#67C2211yescharacteristic, complemented
46#5661—28no—
47#5547—28no—
48C2×#898C2211yescharacteristic, complemented
49C2×#896C2211yescharacteristic
50C2×#896C2211yescharacteristic, complemented
51C2×#895C2211yescharacteristic
52C2×#894C2211yescharacteristic
53C2×#893C2211yescharacteristic
54C2×#893C2211yescharacteristic
55C2×#893C2211yescharacteristic, complemented
56C2×D3×C4⋊C4C2211yescharacteristic, complemented
57C2×#889C2211yescharacteristic, complemented
58C2×#884C2211yescharacteristic
59C2×#884C2211yescharacteristic
60C2×#884C2211yescharacteristic, complemented
61C2×#883C2211yescharacteristic
62C2×#883C2211yescharacteristic
63C2×#882C2211yescharacteristic
64C2×#882C2211yescharacteristic
65C2×#67⋊C4C2211yescharacteristic
66C2×#879C2211yescharacteristic, complemented
67C2×#878C2211yescharacteristic
68C2×#877C2211yescharacteristic
69C2×#877C2211yescharacteristic
70C2×C4×D12C2211yescharacteristic
71C2×#872C2211yescharacteristic
72C3×#400C2211yescharacteristic, complemented
73C3×#398C2211yescharacteristic, complemented
74C3×#397C2211yescharacteristic
75C3×#397C2211yescharacteristic
76C3×#387C2211yescharacteristic, complemented
77C3×#387C2211yescharacteristic, complemented
78C3×#386C2211yescharacteristic
79C3×#385C2211yescharacteristic
80C3×#385C2211yescharacteristic, complemented
81C3×#381C2211yescharacteristic
82C3×#381C2211yescharacteristic, complemented
83C3×#380C2211yescharacteristic, complemented
84C2×C3×#95C2211yescharacteristic, complemented
85#5221C2211yescharacteristic
86#5213C2211yescharacteristic
87#5213C2211yescharacteristic
88#5213C2211yescharacteristic
89#5213C2211yescharacteristic
90#5213C2211yescharacteristic, complemented
91#5211C2211yescharacteristic
92#5211C2211yescharacteristic, complemented
93C4×#217C2211yescharacteristic, complemented
94#4994C2211yescharacteristic
95#4994C2211yescharacteristic
96#4994C2211yescharacteristic
97#4993C2211yescharacteristic
98#4991C2211yescharacteristic
99#4990C2211yescharacteristic
100#4990C2211yescharacteristic
101#4989C2211yescharacteristic
102#4989C2211yescharacteristic
103#4989C2211yescharacteristic, complemented
104#4987C2211yescharacteristic, complemented
105#4987C2211yescharacteristic, complemented
106#4982C2211yescharacteristic, complemented
107#4980C2211yescharacteristic, complemented
108#4980C2211yescharacteristic, complemented
109#4977C2211yescharacteristic, complemented
110#4975C2211yescharacteristic, complemented
111#4972C2211yescharacteristic, complemented
112#4961C2211yescharacteristic
113#4961C2211yescharacteristic
114#4960C2211yescharacteristic
115#4959C2211yescharacteristic
116#4959C2211yescharacteristic
117#4959C2211yescharacteristic
118#4959C2211yescharacteristic, complemented
119#4957C2211yescharacteristic
120#4957C2211yescharacteristic, complemented
121#4956C2211yescharacteristic
122#4955C2211yescharacteristic
123#4955C2211yescharacteristic
124#4955C2211yescharacteristic
125#4953C2211yescharacteristic
126#4952C2211yescharacteristic
127#4952C2211yescharacteristic
128#4952C2211yescharacteristic
129#4952C2211yescharacteristic, complemented
130#4945C2211yescharacteristic, complemented
131Dic3×C22⋊C4C2211yescharacteristic
132C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
133#4928C2211yescharacteristic, complemented
134#4677C2211yescharacteristic
135#4676C2211yescharacteristic
136#4675C2211yescharacteristic
137#4674C2211yescharacteristic
138#4674C2211yescharacteristic, complemented
139#4672C2211yescharacteristic
140#4672C2211yescharacteristic
141#4672C2211yescharacteristic, complemented
142#4671C2211yescharacteristic
143#4670C2211yescharacteristic
144#4670C2211yescharacteristic, complemented
145#4670C2211yescharacteristic, complemented
146#4669C2211yescharacteristic
147#4669C2211yescharacteristic, complemented
148#4667C2211yescharacteristic
149#4667C2211yescharacteristic
150#4667C2211yescharacteristic
151#4667C2211yescharacteristic
152#4667C2211yescharacteristic, complemented
153#4667C2211yescharacteristic, complemented
154#4666C2211yescharacteristic
155#4666C2211yescharacteristic
156#4666C2211yescharacteristic
157#4666C2211yescharacteristic
158#4666C2211yescharacteristic
159#4666C2211yescharacteristic
160#4666C2211yescharacteristic, complemented
161#4666C2211yescharacteristic, complemented
162#4665C2211yescharacteristic
163#4665C2211yescharacteristic
164#4665C2211yescharacteristic
165#4665C2211yescharacteristic
166#4665C2211yescharacteristic
167#4665C2211yescharacteristic
168#4665C2211yescharacteristic
169#4665C2211yescharacteristic
170#4665C2211yescharacteristic
171#4665C2211yescharacteristic, complemented
172#4664C2211yescharacteristic, complemented
173#4664C2211yescharacteristic, complemented
174D3×#95C2211yescharacteristic, complemented
175#4658C2211yescharacteristic, complemented
176#4655C2211yescharacteristic, complemented
177#4654C2211yescharacteristic, complemented
178#4654C2211yescharacteristic, complemented
179#4652C2211yescharacteristic, complemented
180#4650C2211yescharacteristic, complemented
181#4650C2211yescharacteristic, complemented
182#4649C2211yescharacteristic, complemented
183#4647C2211yescharacteristic, complemented
184#4647C2211yescharacteristic, complemented
185#4647C2211yescharacteristic, complemented
186#4647C2211yescharacteristic, complemented
187#4646C2211yescharacteristic, complemented
188#4646C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#553—31no—
191C2×#525—31no—
192#2697—31no—
193#2697—31no—
194#2668—31no—
195#2668—31no—
196#2553—31no—
197#2553—31no—
198#2537—31no—
199#2499—31no—
200#2489—31no—
201#2466—31no—
202#2466—31no—
203#2457—31no—
204#2457—31no—
205#2441—31no—
206#2420—31no—
207#2420—31no—
208#2420—31no—
209#2419—31no—
210#2419D311yescharacteristic, complemented
211#2417—31no—
212#2415—31no—
213#2407—31no—
214#2364—31no—
215#2364—31no—
216#2363—31no—
217#2352—31no—
218#2339—31no—
219C4×#120—31no—
220#2280—31no—
221C24×D3C2311yescharacteristic
222C22×C3×D4C2311yescharacteristic
223C23×C3×C4C2311yescharacteristic
224C23×C3×C4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C23×Dic3C2311yescharacteristic
234C2×#235—24no—
235C2×#235—24no—
236C2×#235—42no—
237C22×D12C2311yescharacteristic
238C22×D12C2311yescharacteristic
239C22×D12C2311yescharacteristic
240C22×D12C2311yescharacteristic
241C22×D12C2311yescharacteristic
242C22×C4×D3—24no—
243C22×C4×D3—24no—
244C22×C4×D3—42no—
245C22×C4×D3C2311yescharacteristic
246C22×C4×D3C2311yescharacteristic
247C22×C4×D3C2311yescharacteristic
248C22×C4×D3C2311yescharacteristic
249C22×C4×D3C2311yescharacteristic
250C22×C4×D3C2311yescharacteristic
251C22×C4×D3C2311yescharacteristic
252C22×C4×D3C2311yescharacteristic
253C22×C4×D3C2311yescharacteristic
254C22×C4×D3C2311yescharacteristic
255C22×Dic6C2311yescharacteristic
256C3×#123—24no—
257C3×C4×D4—24no—
258C2×C3×C4⋊C4C2311yescharacteristic
259C2×C3×C4⋊C4C2311yescharacteristic
260C2×C3×C4⋊C4C2311yescharacteristic
261C2×C3×C4⋊C4C2311yescharacteristic
262C2×C3×C4⋊C4C2311yescharacteristic
263C2×C3×C4⋊C4C2311yescharacteristic
264C2×C3×C4⋊C4C2311yescharacteristic
265C2×C3×C22⋊C4C2311yescharacteristic
266C2×C3×C22⋊C4C2311yescharacteristic
267C2×C3×C22⋊C4C2311yescharacteristic
268C2×C3×C22⋊C4C2311yescharacteristic
269C2×C3×C22⋊C4C2311yescharacteristic
270C2×C3×C22⋊C4C2311yescharacteristic
271C2×C3×C22⋊C4C2311yescharacteristic
272C2×C3×C22⋊C4C2311yescharacteristic
273C2×C3×C42C2311yescharacteristic
274C2×#217C2311yescharacteristic
275C2×#217C2311yescharacteristic
276C2×#217C2311yescharacteristic
277C2×#217C2311yescharacteristic
278C2×#217C2311yescharacteristic
279C2×#217C2311yescharacteristic
280C2×#217C2311yescharacteristic
281C2×#217C2311yescharacteristic
282#939D418yescomplemented
283#938—24no—
284#937—24no—
285#930—24no—
286C4×#67—24no—
287C4×#67—24no—
288C4×#67—24no—
289C4×#67—24no—
290C4×#67—42no—
291C2×(C2×D3)⋊C4C2311yescharacteristic
292C2×(C2×D3)⋊C4C2311yescharacteristic
293C2×(C2×D3)⋊C4C2311yescharacteristic
294C2×(C2×D3)⋊C4C2311yescharacteristic
295C2×(C2×D3)⋊C4C2311yescharacteristic
296C2×(C2×D3)⋊C4C2311yescharacteristic
297C2×(C2×D3)⋊C4C2311yescharacteristic
298C2×(C2×D3)⋊C4C2311yescharacteristic
299C2×(C2×D3)⋊C4C2311yescharacteristic
300C2×(C2×D3)⋊C4C2311yescharacteristic
301C2×(C2×D3)⋊C4C2311yescharacteristic
302C2×(C2×D3)⋊C4C2311yescharacteristic
303C2×(C2×D3)⋊C4C2311yescharacteristic
304C2×(C2×D3)⋊C4C2311yescharacteristic
305C2×(C2×D3)⋊C4C2311yescharacteristic
306C2×(C2×D3)⋊C4C2311yescharacteristic
307C2×(C2×D3)⋊C4C2311yescharacteristic
308C2×(C2×D3)⋊C4C2311yescharacteristic
309C2×(C2×D3)⋊C4C2311yescharacteristic
310C2×(C2×D3)⋊C4C2311yescharacteristic
311C2×(C2×D3)⋊C4C2311yescharacteristic
312C2×(C2×D3)⋊C4C2311yescharacteristic
313C2×(C2×D3)⋊C4C2311yescharacteristic
314C2×(C2×D3)⋊C4C2311yescharacteristic
315C2×(C2×D3)⋊C4C2311yescharacteristic
316C2×(C2×D3)⋊C4C2311yescharacteristic
317C2×(C2×D3)⋊C4C2311yescharacteristic
318C2×(C2×D3)⋊C4C2311yescharacteristic
319C2×(C2×D3)⋊C4C2311yescharacteristic
320C2×(C2×D3)⋊C4C2311yescharacteristic
321C2×(C2×D3)⋊C4C2311yescharacteristic
322C2×(C2×D3)⋊C4C2311yescharacteristic
323C2×C4⋊Dic3C2311yescharacteristic
324C2×C4⋊Dic3C2311yescharacteristic
325C2×C4⋊Dic3C2311yescharacteristic
326C2×C4⋊Dic3C2311yescharacteristic
327C2×C4⋊Dic3C2311yescharacteristic
328C2×C4⋊Dic3C2311yescharacteristic
329C2×Dic3⋊C4C2311yescharacteristic
330C2×Dic3⋊C4C2311yescharacteristic
331C2×Dic3⋊C4C2311yescharacteristic
332C2×Dic3⋊C4C2311yescharacteristic
333C2×Dic3⋊C4C2311yescharacteristic
334C2×Dic3⋊C4C2311yescharacteristic
335C2×Dic3⋊C4C2311yescharacteristic
336C2×Dic3⋊C4C2311yescharacteristic
337C2×Dic3⋊C4C2311yescharacteristic
338C2×Dic3⋊C4C2311yescharacteristic
339C2×Dic3⋊C4C2311yescharacteristic
340C2×Dic3⋊C4C2311yescharacteristic
341C2×Dic3⋊C4C2311yescharacteristic
342C2×Dic3⋊C4C2311yescharacteristic
343C2×Dic3⋊C4C2311yescharacteristic
344C2×Dic3⋊C4C2311yescharacteristic
345C2×C4×Dic3C2311yescharacteristic
346C2×C4×Dic3C2311yescharacteristic
347C2×C4×Dic3C2311yescharacteristic
348C2×C4×Dic3C2311yescharacteristic
349C2×C4×Dic3C2311yescharacteristic
350C2×C4×Dic3C2311yescharacteristic
351C2×C4×Dic3C2311yescharacteristic
352C2×C4×Dic3C2311yescharacteristic
353C2×C4×Dic3C2311yescharacteristic
354C2×C4×Dic3C2311yescharacteristic
355#898—24no—
356#896—24no—
357#896—42no—
358#895—24no—
359#894—24no—
360#893—24no—
361#893—24no—
362#893—42no—
363D3×C4⋊C4—24no—
364#889—24no—
365#884—24no—
366#884—24no—
367#884—24no—
368#883—24no—
369#883—24no—
370#882—24no—
371#882—24no—
372#67⋊C4—24no—
373#879—24no—
374#878—24no—
375#877—24no—
376#877—42no—
377C4×D12—24no—
378#872—24no—
379C3×#95C2311yescharacteristic
380C3×#95C2311yescharacteristic
381C3×#95C2311yescharacteristic
382C3×#95C2311yescharacteristic
383C3×#95C2311yescharacteristic
384C3×#95C2311yescharacteristic
385C3×#95C2311yescharacteristic
386C3×#95C2311yescharacteristic
387C3×#95C2311yescharacteristic
388C3×#95C2311yescharacteristic
389C3×#95C2311yescharacteristic
390C3×#95C2311yescharacteristic
391C3×#95C2311yescharacteristic
392C3×#95C2311yescharacteristic
393C3⋊#95C2311yescharacteristic
394C3⋊#95C2311yescharacteristic
395C3⋊#95C2311yescharacteristic
396C3⋊#95C2311yescharacteristic
397C3⋊#95C2311yescharacteristic
398C3⋊#95C2311yescharacteristic
399C3⋊#95C2311yescharacteristic
400C3⋊#95C2311yescharacteristic
401C3⋊#95C2311yescharacteristic
402C3⋊#95C2311yescharacteristic
403C3⋊#95C2311yescharacteristic
404C3⋊#95C2311yescharacteristic
405C3⋊#95C2311yescharacteristic
406C3⋊#95C2311yescharacteristic
407C3⋊#95C2311yescharacteristic
408C3⋊#95C2311yescharacteristic
409C3⋊#95C2311yescharacteristic
410C3⋊#95C2311yescharacteristic
411C3⋊#95C2311yescharacteristic
412C3⋊#95C2311yescharacteristic
413C3⋊#95C2311yescharacteristic
414C3⋊#95C2311yescharacteristic
415C3⋊#95C2311yescharacteristic
416C3⋊#95C2311yescharacteristic
417C22×#41—31no—
418C24×C4—31no—
419#553—68no—
420C2×#126—31no—
421C2×#126—31no—
422C2×#125—31no—
423#525—68no—
424C2×#123—31no—
425C2×#123—31no—
426C2×#123—31no—
427C2×#123C2×D311yescharacteristic
428C2×C22⋊Q8—31no—
429C2×C22⋊Q8—31no—
430C2×C22⋊Q8—31no—
431C2×#121—31no—
432C2×#121—31no—
433C2×#121—31no—
434C2×#121—31no—
435C2×#121—31no—
436C2×#121—31no—
437C2×#121—31no—
438C2×#120—31no—
439C2×#120—31no—
440C2×#120—31no—
441C2×C4×D4—31no—
442C2×C4×D4—31no—
443C2×C4×D4—31no—
444C2×C4×D4—31no—
445C2×C4×D4—31no—
446C2×C4×D4—31no—
447C2×C4×D4—31no—
448C2×C4×D4—31no—
449C2×C4×D4—31no—
450C2×C4×D4—31no—
451C2×C4×D4C2×D311yescharacteristic
452C2×#117—31no—
453C2×#117—31no—
454C2×#117—31no—
455C22×C4⋊C4—31no—
456#400—31no—
457#400C2×D311yescharacteristic, complemented
458#399—31no—
459#399—31no—
460#398—31no—
461#398C2×D311yescharacteristic, complemented
462#397—31no—
463#397—31no—
464#397—31no—
465#397—31no—
466#397—31no—
467#397—31no—
468#397—31no—
469#397—31no—
470#397C2×D311yescharacteristic
471#397C2×D311yescharacteristic
472#396—31no—
473#396—31no—
474#396—31no—
475#396—31no—
476#394—31no—
477#394—31no—
478#394—31no—
479#394—31no—
480#394—31no—
481#394—31no—
482#394—31no—
483#394—31no—
484#394—31no—
485#394—31no—
486#392—31no—
487#392—31no—
488#391—31no—
489#391—31no—
490#391—31no—
491#390—31no—
492#390—31no—
493#390—31no—
494#389—31no—
495#389—31no—
496#389—31no—
497#389—31no—
498#389—31no—
499#389—31no—
500#388—31no—
501#388—31no—
502#388—31no—
503#388—31no—
504#388—31no—
505#388—31no—
506#388—31no—
507#388—31no—
508#387—31no—
509#387—31no—
510#387—31no—
511#387—31no—
512#387—31no—
513#387—31no—
514#387C2×D311yescharacteristic, complemented
515#387C2×D311yescharacteristic, complemented
516#386—31no—
517#386—31no—
518#386—31no—
519#386—31no—
520#386—31no—
521#386—31no—
522#386—31no—
523#386—31no—
524#386—31no—
525#386—31no—
526#386—31no—
527#386—31no—
528#386—31no—
529#386—31no—
530#386—31no—
531#386—31no—
532#386C2×D311yescharacteristic
533#385—31no—
534#385—31no—
535#385—31no—
536#385C2×D311yescharacteristic
537#385C2×D311yescharacteristic, complemented
538#384—31no—
539#382—31no—
540#382—31no—
541#382—31no—
542#381—31no—
543#381—31no—
544#381—31no—
545#381—31no—
546#381C2×D311yescharacteristic
547#381C2×D311yescharacteristic, complemented
548#380—31no—
549#380—31no—
550#380—31no—
551#380—31no—
552#380—31no—
553#380—31no—
554#380—31no—
555#380—31no—
556#380C2×D311yescharacteristic, complemented
557#379—31no—
558#379—31no—
559#379—31no—
560C4×C4⋊C4—31no—
561C4×C22⋊C4—31no—
562C4×C22⋊C4—31no—
563C4×C22⋊C4—31no—
564C4×C22⋊C4—31no—
565C4×C22⋊C4—31no—
566C4×C22⋊C4—31no—
567C4×C22⋊C4—31no—
568C4×C22⋊C4—31no—
569C4×C22⋊C4—31no—
570C4×C22⋊C4—31no—
571C4×C22⋊C4—31no—
572C2×#95—31no—
573C2×#95C2×D311yescharacteristic, complemented
574C24×C3C2411yescharacteristic
575C24×C3C2411yescharacteristic
576C23×D3—22no—
577C23×D3—22no—
578C23×D3—22no—
579C23×D3—41no—
580C23×D3—41no—
581C23×D3—41no—
582C23×D3—41no—
583C23×D3C2411yescharacteristic
584C23×D3C2411yescharacteristic
585C23×D3C2411yescharacteristic
586C23×D3C2411yescharacteristic
587C2×C3×D4—41no—
588C2×C3×D4—41no—
589C2×C3×D4C2×D414yes—
590C22×C3×C4—22no—
591C22×C3×C4—22no—
592C22×C3×C4—22no—
593C22×C3×C4—22no—
594C22×C3×C4—22no—
595C22×C3×C4—22no—
596C22×C3×C4—41no—
597C22×C3×C4—41no—
598C22×C3×C4—41no—
599C22×C3×C4—41no—
600C22×C3×C4—41no—
601C22×C3×C4—41no—
602C22×C3×C4C2411yescharacteristic
603C22×C3×C4C2411yescharacteristic
604C22×C3×C4C2411yescharacteristic
605C22×C3×C4C2411yescharacteristic
606C22×C3×C4C2411yescharacteristic
607C22×C3×C4C2411yescharacteristic
608C22×C3×C4C2411yescharacteristic
609C22×C3×C4C2411yescharacteristic
610C22×C3×C4C2411yescharacteristic
611C22×C3×C4C2411yescharacteristic
612C22×C3×C4C2411yescharacteristic
613C22×C3×C4C2411yescharacteristic
614C22×C3×C4C2411yescharacteristic
615C2×#67—22no—
616C2×#67—22no—
617C2×#67—22no—
618C2×#67—22no—
619C2×#67—22no—
620C2×#67—22no—
621C2×#67—22no—
622C2×#67—22no—
623C2×#67—22no—
624C2×#67—22no—
625C2×#67—41no—
626C2×#67—41no—
627C2×#67—41no—
628C2×#67—41no—
629C2×#67—41no—
630C2×#67—41no—
631C2×#67C2×D414yes—
632C2×#67C2×D414yes—
633C22×Dic3—22no—
634C22×Dic3—22no—
635C22×Dic3C2×D414yes—
636C22×Dic3C2411yescharacteristic
637C22×Dic3C2411yescharacteristic
638C22×Dic3C2411yescharacteristic
639C22×Dic3C2411yescharacteristic
640C22×Dic3C2411yescharacteristic
641C22×Dic3C2411yescharacteristic
642C22×Dic3C2411yescharacteristic
643C22×Dic3C2411yescharacteristic
644C22×Dic3C2411yescharacteristic
645C22×Dic3C2411yescharacteristic
646C22×Dic3C2411yescharacteristic
647C22×Dic3C2411yescharacteristic
648#235—416no—
649C2×D12—22no—
650C2×D12—22no—
651C2×D12—22no—
652C2×D12—22no—
653C2×D12—22no—
654C2×D12—22no—
655C2×D12—22no—
656C2×D12—22no—
657C2×D12—41no—
658C2×D12—41no—
659C2×D12—41no—
660C2×D12—41no—
661C2×D12—41no—
662C2×D12—41no—
663C2×D12#4114yescomplemented
664C2×C4×D3—22no—
665C2×C4×D3—22no—
666C2×C4×D3—22no—
667C2×C4×D3—22no—
668C2×C4×D3—22no—
669C2×C4×D3—22no—
670C2×C4×D3—22no—
671C2×C4×D3—22no—
672C2×C4×D3—22no—
673C2×C4×D3—22no—
674C2×C4×D3—22no—
675C2×C4×D3—22no—
676C2×C4×D3—22no—
677C2×C4×D3—22no—
678C2×C4×D3—22no—
679C2×C4×D3—22no—
680C2×C4×D3—22no—
681C2×C4×D3—22no—
682C2×C4×D3—416no—
683C2×C4×D3—41no—
684C2×C4×D3—41no—
685C2×C4×D3—41no—
686C2×C4×D3—41no—
687C2×C4×D3—41no—
688C2×C4×D3—41no—
689C2×C4×D3—41no—
690C2×C4×D3—41no—
691C2×C4×D3—41no—
692C2×C4×D3—41no—
693C2×C4×D3—41no—
694C2×C4×D3#4114yes—
695C2×Dic6—22no—
696C2×Dic6—22no—
697C2×Dic6—22no—
698C3×C4⋊C4—22no—
699C3×C4⋊C4—22no—
700C3×C4⋊C4—22no—
701C3×C4⋊C4—22no—
702C3×C4⋊C4—22no—
703C3×C4⋊C4—41no—
704C3×C4⋊C4—41no—
705C3×C22⋊C4—22no—
706C3×C22⋊C4—22no—
707C3×C22⋊C4—22no—
708C3×C22⋊C4—22no—
709C3×C22⋊C4—22no—
710C3×C22⋊C4—22no—
711C3×C22⋊C4—41no—
712C3×C22⋊C4—41no—
713C3×C42—22no—
714#217—22no—
715#217—22no—
716#217—22no—
717#217—41no—
718#217—41no—
719#217—41no—
720#217—41no—
721#217C2×D414yes—
722(C2×D3)⋊C4—22no—
723(C2×D3)⋊C4—22no—
724(C2×D3)⋊C4—22no—
725(C2×D3)⋊C4—22no—
726(C2×D3)⋊C4—22no—
727(C2×D3)⋊C4—22no—
728(C2×D3)⋊C4—22no—
729(C2×D3)⋊C4—22no—
730(C2×D3)⋊C4—22no—
731(C2×D3)⋊C4—22no—
732(C2×D3)⋊C4—22no—
733(C2×D3)⋊C4—22no—
734(C2×D3)⋊C4—22no—
735(C2×D3)⋊C4—22no—
736(C2×D3)⋊C4—22no—
737(C2×D3)⋊C4—22no—
738(C2×D3)⋊C4—41no—
739(C2×D3)⋊C4—41no—
740(C2×D3)⋊C4—41no—
741(C2×D3)⋊C4—41no—
742(C2×D3)⋊C4—41no—
743(C2×D3)⋊C4—41no—
744(C2×D3)⋊C4—41no—
745(C2×D3)⋊C4—41no—
746(C2×D3)⋊C4—41no—
747(C2×D3)⋊C4—41no—
748(C2×D3)⋊C4—41no—
749(C2×D3)⋊C4—41no—
750(C2×D3)⋊C4—41no—
751(C2×D3)⋊C4—41no—
752(C2×D3)⋊C4—41no—
753(C2×D3)⋊C4C2×D414yes—
754C4⋊Dic3—22no—
755C4⋊Dic3—22no—
756C4⋊Dic3—22no—
757C4⋊Dic3—22no—
758C4⋊Dic3—41no—
759C4⋊Dic3—41no—
760Dic3⋊C4—22no—
761Dic3⋊C4—22no—
762Dic3⋊C4—22no—
763Dic3⋊C4—22no—
764Dic3⋊C4—22no—
765Dic3⋊C4—22no—
766Dic3⋊C4—22no—
767Dic3⋊C4—22no—
768Dic3⋊C4—22no—
769Dic3⋊C4—22no—
770Dic3⋊C4—41no—
771Dic3⋊C4—41no—
772Dic3⋊C4—41no—
773Dic3⋊C4—41no—
774Dic3⋊C4—41no—
775Dic3⋊C4C2×D414yes—
776C4×Dic3—22no—
777C4×Dic3—22no—
778C4×Dic3—22no—
779C4×Dic3—22no—
780C4×Dic3—22no—
781C4×Dic3—22no—
782C4×Dic3—41no—
783C4×Dic3—41no—
784C4×Dic3—41no—
785C4×Dic3—41no—
786C25—31no—
787C2×#41—64no—
788C2×#41—64no—
789C2×#41—122no—
790C22×Q8—31no—
791C22×D4—31no—
792C22×D4—31no—
793C22×D4—31no—
794C22×D4—31no—
795C22×D4—31no—
796C22×D4—31no—
797C22×D4—31no—
798C22×D4—31no—
799C22×D4—31no—
800C22×D4—31no—
801C22×D4—31no—
802C22×D4C22×D311yescharacteristic
803C23×C4—31no—
804C23×C4—31no—
805C23×C4—31no—
806C23×C4—31no—
807C23×C4—31no—
808C23×C4—31no—
809C23×C4—31no—
810C23×C4—31no—
811C23×C4—31no—
812C23×C4—31no—
813C23×C4—31no—
814C23×C4—64no—
815C23×C4—64no—
816C23×C4—122no—
817C23×C4C22×D311yescharacteristic
818C23×C4C22×D311yescharacteristic
819C23×C4C22×D311yescharacteristic
820C23×C4C22×D311yescharacteristic
821#126—64no—
822#126—64no—
823#125—64no—
824#123—24no—
825#123—64no—
826#123—64no—
827#123—64no—
828C22⋊Q8—64no—
829C22⋊Q8—64no—
830C22⋊Q8—122no—
831#121—38no—
832#121—64no—
833#121—64no—
834#121—64no—
835#121—64no—
836#121—64no—
837#121—64no—
838#120—64no—
839#120—64no—
840#120—64no—
841C4×D4—24no—
842C4×D4—64no—
843C4×D4—64no—
844C4×D4—64no—
845C4×D4—64no—
846C4×D4—64no—
847C4×D4—64no—
848C4×D4—64no—
849C4×D4—64no—
850C4×D4—122no—
851C4×D4—122no—
852#117—64no—
853#117—64no—
854#117—122no—
855C2×C4⋊C4—31no—
856C2×C4⋊C4—31no—
857C2×C4⋊C4—31no—
858C2×C4⋊C4—31no—
859C2×C4⋊C4—31no—
860C2×C4⋊C4—31no—
861C2×C4⋊C4—31no—
862C2×C4⋊C4—31no—
863C2×C4⋊C4—31no—
864C2×C4⋊C4—31no—
865C2×C4⋊C4—31no—
866C2×C4⋊C4—31no—
867C2×C4⋊C4—31no—
868C2×C4⋊C4—31no—
869C2×C4⋊C4—31no—
870C2×C4⋊C4—31no—
871C2×C4⋊C4—31no—
872C2×C4⋊C4—31no—
873C2×C4⋊C4—31no—
874C2×C4⋊C4—31no—
875C2×C4⋊C4—31no—
876C2×C4⋊C4—31no—
877C2×C4⋊C4—64no—
878C2×C4⋊C4C22×D311yescharacteristic
879C2×C4⋊C4C22×D311yescharacteristic
880C2×C4⋊C4C22×D311yescharacteristic
881C2×C4⋊C4C22×D311yescharacteristic
882C2×C4⋊C4C22×D311yescharacteristic
883C2×C4⋊C4C22×D311yescharacteristic
884C2×C4⋊C4C22×D311yescharacteristic
885C2×C22⋊C4—31no—
886C2×C22⋊C4—31no—
887C2×C22⋊C4—31no—
888C2×C22⋊C4—31no—
889C2×C22⋊C4—31no—
890C2×C22⋊C4—31no—
891C2×C22⋊C4—31no—
892C2×C22⋊C4—31no—
893C2×C22⋊C4—31no—
894C2×C22⋊C4—31no—
895C2×C22⋊C4—31no—
896C2×C22⋊C4—31no—
897C2×C22⋊C4—31no—
898C2×C22⋊C4—31no—
899C2×C22⋊C4—31no—
900C2×C22⋊C4—31no—
901C2×C22⋊C4—31no—
902C2×C22⋊C4—31no—
903C2×C22⋊C4—31no—
904C2×C22⋊C4—31no—
905C2×C22⋊C4—31no—
906C2×C22⋊C4—31no—
907C2×C22⋊C4—31no—
908C2×C22⋊C4—31no—
909C2×C22⋊C4—31no—
910C2×C22⋊C4—31no—
911C2×C22⋊C4—31no—
912C2×C22⋊C4—31no—
913C2×C22⋊C4—31no—
914C2×C22⋊C4—31no—
915C2×C22⋊C4—31no—
916C2×C22⋊C4—31no—
917C2×C22⋊C4—31no—
918C2×C22⋊C4—31no—
919C2×C22⋊C4—31no—
920C2×C22⋊C4—31no—
921C2×C22⋊C4—31no—
922C2×C22⋊C4—31no—
923C2×C22⋊C4—31no—
924C2×C22⋊C4—31no—
925C2×C22⋊C4C22×D311yescharacteristic
926C2×C22⋊C4C22×D311yescharacteristic
927C2×C22⋊C4C22×D311yescharacteristic
928C2×C22⋊C4C22×D311yescharacteristic
929C2×C22⋊C4C22×D311yescharacteristic
930C2×C22⋊C4C22×D311yescharacteristic
931C2×C22⋊C4C22×D311yescharacteristic
932C2×C22⋊C4C22×D311yescharacteristic
933C2×C42—31no—
934C2×C42—31no—
935C2×C42—31no—
936C2×C42—31no—
937C2×C42—31no—
938C2×C42—31no—
939C2×C42—31no—
940C2×C42—31no—
941C2×C42—31no—
942C2×C42—31no—
943C2×C42C22×D311yescharacteristic
944#95—31no—
945#95—31no—
946#95—31no—
947#95—31no—
948#95—31no—
949#95—31no—
950#95—31no—
951#95—31no—
952#95—31no—
953#95—31no—
954#95—31no—
955#95—31no—
956#95—31no—
957#95—31no—
958#95—31no—
959#95—31no—
960#95—31no—
961#95—31no—
962#95—31no—
963#95—31no—
964#95—31no—
965#95—31no—
966#95—31no—
967#95—31no—
968#95C22×D311yescharacteristic
969#95C22×D311yescharacteristic
970#95C22×D311yescharacteristic
971#95C22×D311yescharacteristic
972#95C22×D311yescharacteristic
973#95C22×D311yescharacteristic
974#95C22×D311yescharacteristic
975#95C22×D311yescharacteristic
976#95C22×D311yescharacteristic
977#95C22×D311yescharacteristic
978#95C22×D311yescharacteristic
979#95C22×D311yescharacteristic
980#95C22×D311yescharacteristic
981#95C22×D311yescharacteristic
982C23×C3—21no—
983C23×C3—21no—
984C23×C3—21no—
985C23×C3—21no—
986C23×C3—21no—
987C23×C3—21no—
988C23×C3—21no—
989C23×C3—21no—
990C23×C3—21no—
991C23×C3—21no—
992C23×C3—21no—
993C23×C3—21no—
994C23×C3C22×D412yes—
995C23×C3C22×D412yes—
996C23×C3C2511yescharacteristic
997C22×D3—21no—
998C22×D3—21no—
999C22×D3—21no—
1000C22×D3—21no—
1001C22×D3—21no—
1002C22×D3—21no—
1003C22×D3—21no—
1004C22×D3—21no—
1005C22×D3—21no—
1006C22×D3—21no—
1007C22×D3—21no—
1008C22×D3—21no—
1009C22×D3—21no—
1010C22×D3—21no—
1011C22×D3—21no—
1012C22×D3—21no—
1013C22×D3—21no—
1014C22×D3—21no—
1015C22×D3—21no—
1016C22×D3—21no—
1017C22×D3—21no—
1018C22×D3—21no—
1019C22×D3—21no—
1020C22×D3—21no—
1021C22×D3—44no—
1022C22×D3—44no—
1023C22×D3—44no—
1024C22×D3—44no—
1025C22×D3—44no—
1026C22×D3—44no—
1027C22×D3—44no—
1028C22×D3C22×D412yes—
1029C22×D3C2×#4112yes—
1030C22×D3C2×#4112yes—
1031C22×D3C2×#4112yes—
1032C3×D4—44no—
1033C2×C3×C4—21no—
1034C2×C3×C4—21no—
1035C2×C3×C4—21no—
1036C2×C3×C4—21no—
1037C2×C3×C4—21no—
1038C2×C3×C4—21no—
1039C2×C3×C4—21no—
1040C2×C3×C4—21no—
1041C2×C3×C4—21no—
1042C2×C3×C4—21no—
1043C2×C3×C4—21no—
1044C2×C3×C4—21no—
1045C2×C3×C4—21no—
1046C2×C3×C4—21no—
1047C2×C3×C4—21no—
1048C2×C3×C4—21no—
1049C2×C3×C4—21no—
1050C2×C3×C4—21no—
1051C2×C3×C4—21no—
1052C2×C3×C4—21no—
1053C2×C3×C4—21no—
1054C2×C3×C4—21no—
1055C2×C3×C4—21no—
1056C2×C3×C4—21no—
1057C2×C3×C4—21no—
1058C2×C3×C4—21no—
1059C2×C3×C4—21no—
1060C2×C3×C4—21no—
1061C2×C3×C4—21no—
1062C2×C3×C4—21no—
1063C2×C3×C4—21no—
1064C2×C3×C4—21no—
1065C2×C3×C4—21no—
1066C2×C3×C4—21no—
1067C2×C3×C4—21no—
1068C2×C3×C4—21no—
1069C2×C3×C4—44no—
1070C2×C3×C4—44no—
1071C2×C3×C4—82no—
1072C2×C3×C4—82no—
1073C2×C3×C4C22×D412yes—
1074C2×C3×C4C2×#4112yes—
1075C2×C3×C4C2×#4112yes—
1076#67—28no—
1077#67—44no—
1078#67—44no—
1079#67—44no—
1080#67—44no—
1081#67—44no—
1082C2×Dic3—21no—
1083C2×Dic3—21no—
1084C2×Dic3—21no—
1085C2×Dic3—21no—
1086C2×Dic3—28no—
1087C2×Dic3—21no—
1088C2×Dic3—21no—
1089C2×Dic3—21no—
1090C2×Dic3—21no—
1091C2×Dic3—21no—
1092C2×Dic3—21no—
1093C2×Dic3—21no—
1094C2×Dic3—21no—
1095C2×Dic3—21no—
1096C2×Dic3—21no—
1097C2×Dic3—21no—
1098C2×Dic3—21no—
1099C2×Dic3—21no—
1100C2×Dic3—21no—
1101C2×Dic3—21no—
1102C2×Dic3—21no—
1103C2×Dic3—21no—
1104C2×Dic3—21no—
1105C2×Dic3—21no—
1106C2×Dic3—21no—
1107C2×Dic3—21no—
1108C2×Dic3—21no—
1109C2×Dic3—21no—
1110C2×Dic3—21no—
1111C2×Dic3—21no—
1112C2×Dic3—21no—
1113C2×Dic3—21no—
1114C2×Dic3C22×D412yes—
1115C2×Dic3C22×D412yes—
1116C2×Dic3C22×D412yes—
1117C2×Dic3C2×#4112yes—
1118C2×Dic3H(5,𝔽2)12yes—
1119D12—44no—
1120D12—44no—
1121D12—44no—
1122D12—44no—
1123D12—44no—
1124C4×D3—28no—
1125C4×D3—44no—
1126C4×D3—44no—
1127C4×D3—44no—
1128C4×D3—44no—
1129C4×D3—44no—
1130C4×D3—82no—
1131C4×D3—82no—
1132C4×D3—82no—
1133C4×D3—82no—
1134Dic6—44no—
1135C24—31no—
1136C24—31no—
1137C24—31no—
1138C24—31no—
1139C24—62no—
1140C24—62no—
1141C24—62no—
1142C24—121no—
1143C24—121no—
1144C24—121no—
1145C24—121no—
1146C24C23×D311yescharacteristic
1147C24C23×D311yescharacteristic
1148#41—1216no—
1149C2×Q8—62no—
1150C2×Q8—62no—
1151C2×Q8—62no—
1152C2×D4—34no—
1153C2×D4—34no—
1154C2×D4—34no—
1155C2×D4—41no—
1156C2×D4—41no—
1157C2×D4—62no—
1158C2×D4—62no—
1159C2×D4—62no—
1160C2×D4—62no—
1161C2×D4—62no—
1162C2×D4—62no—
1163C2×D4—62no—
1164C2×D4—62no—
1165C2×D4—62no—
1166C2×D4—62no—
1167C2×D4—62no—
1168C2×D4—62no—
1169C2×D4—62no—
1170C2×D4—62no—
1171C2×D4—62no—
1172C2×D4—62no—
1173C2×D4—62no—
1174C2×D4—62no—
1175C2×D4—121no—
1176C2×D4—121no—
1177C2×D4—121no—
1178C2×D4—121no—
1179C2×D4—121no—
1180C2×D4—121no—
1181C2×D4—121no—
1182C2×D4—121no—
1183C2×D4—121no—
1184C2×D4—121no—
1185C2×D4—121no—
1186C2×D4—121no—
1187C2×D4D3×D414yes—
1188C22×C4—22no—
1189C22×C4—22no—
1190C22×C4—22no—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—22no—
1194C22×C4—31no—
1195C22×C4—34no—
1196C22×C4—31no—
1197C22×C4—31no—
1198C22×C4—34no—
1199C22×C4—31no—
1200C22×C4—31no—
1201C22×C4—31no—
1202C22×C4—31no—
1203C22×C4—31no—
1204C22×C4—31no—
1205C22×C4—31no—
1206C22×C4—31no—
1207C22×C4—31no—
1208C22×C4—41no—
1209C22×C4—41no—
1210C22×C4—41no—
1211C22×C4—41no—
1212C22×C4—41no—
1213C22×C4—41no—
1214C22×C4—62no—
1215C22×C4—62no—
1216C22×C4—62no—
1217C22×C4—62no—
1218C22×C4—62no—
1219C22×C4—62no—
1220C22×C4—62no—
1221C22×C4—62no—
1222C22×C4—62no—
1223C22×C4—62no—
1224C22×C4—62no—
1225C22×C4—62no—
1226C22×C4—62no—
1227C22×C4—62no—
1228C22×C4—62no—
1229C22×C4—62no—
1230C22×C4—62no—
1231C22×C4—62no—
1232C22×C4—62no—
1233C22×C4—62no—
1234C22×C4—121no—
1235C22×C4—121no—
1236C22×C4—121no—
1237C22×C4—121no—
1238C22×C4—121no—
1239C22×C4—121no—
1240C22×C4—121no—
1241C22×C4—121no—
1242C22×C4—121no—
1243C22×C4—121no—
1244C22×C4—121no—
1245C22×C4—1216no—
1246C22×C4C23×D311yescharacteristic
1247C22×C4C23×D311yescharacteristic
1248C22×C4C23×D311yescharacteristic
1249C22×C4C23×D311yescharacteristic
1250C22×C4C23×D311yescharacteristic
1251C22×C4C23×D311yescharacteristic
1252C22×C4C23×D311yescharacteristic
1253C22×C4C23×D311yescharacteristic
1254C22×C4C23×D311yescharacteristic
1255C22×C4C23×D311yescharacteristic
1256C22×C4C23×D311yescharacteristic
1257C22×C4C23×D311yescharacteristic
1258C22×C4C23×D311yescharacteristic
1259C4⋊C4—22no—
1260C4⋊C4—22no—
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—22no—
1264C4⋊C4—34no—
1265C4⋊C4—41no—
1266C4⋊C4—41no—
1267C4⋊C4—62no—
1268C4⋊C4—62no—
1269C4⋊C4—62no—
1270C4⋊C4—62no—
1271C4⋊C4—62no—
1272C4⋊C4—62no—
1273C4⋊C4—62no—
1274C4⋊C4—62no—
1275C4⋊C4—62no—
1276C4⋊C4—62no—
1277C4⋊C4—62no—
1278C4⋊C4—62no—
1279C4⋊C4—62no—
1280C4⋊C4—62no—
1281C4⋊C4—121no—
1282C4⋊C4—121no—
1283C4⋊C4—121no—
1284C4⋊C4—121no—
1285C4⋊C4—121no—
1286C4⋊C4—121no—
1287C4⋊C4—121no—
1288C22⋊C4—22no—
1289C22⋊C4—22no—
1290C22⋊C4—22no—
1291C22⋊C4—22no—
1292C22⋊C4—22no—
1293C22⋊C4—22no—
1294C22⋊C4—34no—
1295C22⋊C4—34no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—62no—
1299C22⋊C4—62no—
1300C22⋊C4—62no—
1301C22⋊C4—62no—
1302C22⋊C4—62no—
1303C22⋊C4—62no—
1304C22⋊C4—62no—
1305C22⋊C4—62no—
1306C22⋊C4—62no—
1307C22⋊C4—62no—
1308C22⋊C4—62no—
1309C22⋊C4—62no—
1310C22⋊C4—62no—
1311C22⋊C4—62no—
1312C22⋊C4—62no—
1313C22⋊C4—62no—
1314C22⋊C4—62no—
1315C22⋊C4—62no—
1316C22⋊C4—62no—
1317C22⋊C4—121no—
1318C22⋊C4—121no—
1319C22⋊C4—121no—
1320C22⋊C4—121no—
1321C22⋊C4—121no—
1322C22⋊C4—121no—
1323C22⋊C4—121no—
1324C22⋊C4—121no—
1325C22⋊C4—121no—
1326C22⋊C4—121no—
1327C22⋊C4—121no—
1328C22⋊C4—121no—
1329C22⋊C4—121no—
1330C22⋊C4—121no—
1331C22⋊C4—121no—
1332C22⋊C4—121no—
1333C22⋊C4—121no—
1334C22⋊C4—121no—
1335C22⋊C4—121no—
1336C42—22no—
1337C42—62no—
1338C42—62no—
1339C42—62no—
1340C42—62no—
1341C42—62no—
1342C42—62no—
1343C42—121no—
1344C42—121no—
1345C42—121no—
1346C42—121no—
1347C22×C3—22no—
1348C22×C3—22no—
1349C22×C3—22no—
1350C22×C3—22no—
1351C22×C3—22no—
1352C22×C3—22no—
1353C22×C3—41no—
1354C22×C3—41no—
1355C22×C3—41no—
1356C22×C3—41no—
1357C22×C3—41no—
1358C22×C3—41no—
1359C22×C3—41no—
1360C22×C3—41no—
1361C22×C3C23×D411yescharacteristic
1362C22×C3C22×#4111yescharacteristic
1363C22×C3C22×#4111yescharacteristic
1364C22×C3C2×H(5,𝔽2)11yescharacteristic
1365C22×C3#58511yescharacteristic
1366C22×C3#58511yescharacteristic
1367C22×C3#58511yescharacteristic
1368C2×D3—22no—
1369C2×D3—22no—
1370C2×D3—22no—
1371C2×D3—22no—
1372C2×D3—22no—
1373C2×D3—22no—
1374C2×D3—22no—
1375C2×D3—22no—
1376C2×D3—22no—
1377C2×D3—22no—
1378C2×D3—22no—
1379C2×D3—22no—
1380C2×D3—416no—
1381C2×D3—41no—
1382C2×D3—41no—
1383C2×D3—41no—
1384C2×D3—41no—
1385C2×D3—41no—
1386C2×D3—41no—
1387C2×D3—41no—
1388C2×D3—41no—
1389C2×D3—41no—
1390C2×D3—41no—
1391C2×D3—41no—
1392C2×D3—41no—
1393C2×D3—41no—
1394C2×D3—41no—
1395C2×D3—41no—
1396C2×D3—41no—
1397C3×C4—22no—
1398C3×C4—22no—
1399C3×C4—22no—
1400C3×C4—41no—
1401C3×C4—41no—
1402C3×C4—41no—
1403C3×C4—41no—
1404C3×C4—41no—
1405C3×C4—41no—
1406C3×C4—41no—
1407C3×C4—41no—
1408C3×C4—41no—
1409C3×C4—41no—
1410Dic3—22no—
1411Dic3—22no—
1412Dic3—41no—
1413Dic3—41no—
1414Dic3—41no—
1415Dic3—41no—
1416Dic3—41no—
1417Dic3—41no—
1418Dic3—41no—
1419Dic3—41no—
1420Dic3—41no—
1421Dic3#54614yes—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—32no—
1435C23—32no—
1436C23—32no—
1437C23—32no—
1438C23—61no—
1439C23—61no—
1440C23—61no—
1441C23—61no—
1442C23—61no—
1443C23—61no—
1444C23—61no—
1445C23—61no—
1446C23—61no—
1447C23—61no—
1448C23—61no—
1449C23—61no—
1450C23—61no—
1451C23—61no—
1452C23—61no—
1453C23—61no—
1454C23—61no—
1455C23—61no—
1456C23—61no—
1457C23—61no—
1458C23—61no—
1459C23—61no—
1460C23—61no—
1461C23—61no—
1462C23—124no—
1463C23—124no—
1464C23—124no—
1465C23—124no—
1466C23—124no—
1467C23—124no—
1468C23—124no—
1469C23C2×D3×D412yes—
1470C23C2×D3×D412yes—
1471C23C24×D311yescharacteristic
1472Q8—124no—
1473D4—44no—
1474D4—68no—
1475D4—124no—
1476D4—124no—
1477D4—124no—
1478D4—124no—
1479D4—124no—
1480D4—124no—
1481D4—124no—
1482D4—124no—
1483D4—124no—
1484D4—124no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—32no—
1522C2×C4—32no—
1523C2×C4—32no—
1524C2×C4—32no—
1525C2×C4—32no—
1526C2×C4—44no—
1527C2×C4—44no—
1528C2×C4—68no—
1529C2×C4—68no—
1530C2×C4—61no—
1531C2×C4—61no—
1532C2×C4—61no—
1533C2×C4—61no—
1534C2×C4—61no—
1535C2×C4—61no—
1536C2×C4—61no—
1537C2×C4—61no—
1538C2×C4—61no—
1539C2×C4—61no—
1540C2×C4—61no—
1541C2×C4—61no—
1542C2×C4—61no—
1543C2×C4—61no—
1544C2×C4—61no—
1545C2×C4—61no—
1546C2×C4—61no—
1547C2×C4—61no—
1548C2×C4—61no—
1549C2×C4—61no—
1550C2×C4—61no—
1551C2×C4—61no—
1552C2×C4—61no—
1553C2×C4—61no—
1554C2×C4—61no—
1555C2×C4—61no—
1556C2×C4—61no—
1557C2×C4—61no—
1558C2×C4—61no—
1559C2×C4—61no—
1560C2×C4—61no—
1561C2×C4—82no—
1562C2×C4—82no—
1563C2×C4—124no—
1564C2×C4—124no—
1565C2×C4—124no—
1566C2×C4—124no—
1567C2×C4—124no—
1568C2×C4—242no—
1569C2×C4—242no—
1570C2×C4—242no—
1571C2×C4—242no—
1572C2×C4C2×D3×D412yes—
1573C2×C4D3×#4112yes—
1574C2×C4D3×#4112yes—
1575C2×C3—42no—
1576C2×C3—42no—
1577C2×C3C2×#54611yescharacteristic
1578C2×C3D4×#4111yescharacteristic
1579C2×C3#347511yescharacteristic
1580C2×C3#348511yescharacteristic
1581C2×C3#349311yescharacteristic
1582C2×C3#350511yescharacteristic
1583C2×C3#353911yescharacteristic
1584D3—42no—
1585D3—42no—
1586D3—42no—
1587D3—42no—
1588C22—22no—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—62no—
1603C22—62no—
1604C22—62no—
1605C22—62no—
1606C22—62no—
1607C22—62no—
1608C22—62no—
1609C22—62no—
1610C22—62no—
1611C22—62no—
1612C22—62no—
1613C22—62no—
1614C22—1216no—
1615C22—121no—
1616C22—121no—
1617C22—121no—
1618C22—121no—
1619C22—121no—
1620C22—121no—
1621C22—121no—
1622C22—121no—
1623C22—121no—
1624C22—121no—
1625C22—121no—
1626C22—121no—
1627C22—121no—
1628C22—121no—
1629C22—121no—
1630C22—121no—
1631C22C22×D3×D411yescharacteristic
1632C22C2×D3×#4111yescharacteristic
1633C22C2×D3×#4111yescharacteristic
1634C22#596411yescharacteristic
1635C22#596411yescharacteristic
1636C22D3×H(5,𝔽2)11yescharacteristic
1637C22#596811yescharacteristic
1638C4—22no—
1639C4—22no—
1640C4—22no—
1641C4—34no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—62no—
1653C4—62no—
1654C4—121no—
1655C4—121no—
1656C4—121no—
1657C4—121no—
1658C4—121no—
1659C4—121no—
1660C4—121no—
1661C4—121no—
1662C4—121no—
1663C3#5902011yescharacteristic, complemented, Sylow
1664C2—42no—
1665C2—42no—
1666C2—122no—
1667C2—122no—
1668C2—122no—
1669C2—122no—
1670C2#8601211yescharacteristic
1671C2#8615111yescharacteristic
1672C2#8643611yescharacteristic
1673C2D3×#54611yescharacteristic
1674C2#8667411yescharacteristic
1675C2#8681711yescharacteristic
1676C2#8686111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2419C2
hypercenter#2419D3
hypocenterC3#59020
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2419

Complements

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

NH ≅ G/Ntype
1. C2×#5661C2semidirect
2. C2×#5547C2semidirect
3. C3×#2419C2semidirect
4. #82908C2semidirect
5. #82405C2semidirect
6. #78147C2semidirect
7. #78138C2semidirect
8. #77788C2semidirect
9. #77742C2semidirect
10. #77696C2semidirect
11. #77689C2semidirect
12. #77491C2semidirect
13. #77462C2semidirect
14. #75309C2semidirect
15. #75305C2semidirect
16. #75000C2semidirect
17. #74984C2semidirect
18. #74910C2semidirect
19. #74677C2semidirect
20. #74604C2semidirect
21. #74435C2semidirect
22. #74404C2semidirect
23. #74379C2semidirect
24. #74069C2semidirect
25. #74066C2semidirect
26. #74066C2semidirect
27. #74050C2semidirect
28. #73939C2semidirect
29. #73935C2semidirect
30. #73368C2semidirect
31. #73338C2semidirect
43. C2×C4×#67C22semidirect
44. C2×C4×#67C22semidirect
45. C2×C4×#67C22semidirect
48. C2×#898C22semidirect
50. C2×#896C22semidirect
55. C2×#893C22semidirect
56. C2×D3×C4⋊C4C22semidirect
57. C2×#889C22semidirect
60. C2×#884C22semidirect
66. C2×#879C22semidirect
72. C3×#400C22semidirect
73. C3×#398C22semidirect
76. C3×#387C22semidirect
77. C3×#387C22semidirect
80. C3×#385C22semidirect
82. C3×#381C22semidirect
83. C3×#380C22semidirect
84. C2×C3×#95C22semidirect
90. #5213C22semidirect
92. #5211C22semidirect
93. C4×#217C22semidirect
103. #4989C22semidirect
104. #4987C22semidirect
105. #4987C22semidirect
106. #4982C22semidirect
107. #4980C22semidirect
108. #4980C22semidirect
109. #4977C22semidirect
110. #4975C22semidirect
111. #4972C22semidirect
118. #4959C22semidirect
120. #4957C22semidirect
129. #4952C22semidirect
130. #4945C22semidirect
132. C4×(C2×D3)⋊C4C22semidirect
133. #4928C22semidirect
138. #4674C22semidirect
141. #4672C22semidirect
144. #4670C22semidirect
145. #4670C22semidirect
147. #4669C22semidirect
152. #4667C22semidirect
153. #4667C22semidirect
160. #4666C22semidirect
161. #4666C22semidirect
171. #4665C22semidirect
172. #4664C22semidirect
173. #4664C22semidirect
174. D3×#95C22semidirect
175. #4658C22semidirect
176. #4655C22semidirect
177. #4654C22semidirect
178. #4654C22semidirect
179. #4652C22semidirect
180. #4650C22semidirect
181. #4650C22semidirect
182. #4649C22semidirect
183. #4647C22semidirect
184. #4647C22semidirect
185. #4647C22semidirect
186. #4647C22semidirect
187. #4646C22semidirect
188. #4646C22semidirect
189. #4646C22semidirect
210. #2419D3semidirect
282. #939D4semidirect
457. #400C2×D3semidirect
461. #398C2×D3semidirect
514. #387C2×D3semidirect
515. #387C2×D3semidirect
537. #385C2×D3semidirect
547. #381C2×D3semidirect
556. #380C2×D3semidirect
573. C2×#95C2×D3semidirect
663. C2×D12#41semidirect
1663. C3#59020semidirect

Maximal subgroups

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

subgroupindex
C2×#56612
C2×#55472
C3×#24192
#829082
#824052
#781472
#781382
#777882
#777422
#776962
#776892
#774912
#774622
#753092
#753052
#750002
#749842
#749102
#746772
#746042
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