Finite Group Databasebeta

← #11003372

Subgroups — #11003372

Order 768.

1822 conjugacy classes of subgroups.

The subgroup lattice has 1574 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#2796C211yesmaximal, characteristic, complemented
2#78302C211yesmaximal, characteristic, complemented
3#78212C211yesmaximal, characteristic, complemented
4#78067C211yesmaximal, characteristic, complemented
5#78026C211yesmaximal, characteristic, complemented
6#77699C211yesmaximal, characteristic, complemented
7#77695C211yesmaximal, characteristic, complemented
8#77693C211yesmaximal, characteristic, complemented
9#77518C211yesmaximal, characteristic, complemented
10#77517C211yesmaximal, characteristic, complemented
11#77511C211yesmaximal, characteristic, complemented
12#77029C211yesmaximal, characteristic, complemented
13#76980C211yesmaximal, characteristic, complemented
14#76476C211yesmaximal, characteristic, complemented
15#76400C211yesmaximal, characteristic, complemented
16#76287C211yesmaximal, characteristic, complemented
17#76113C211yesmaximal, characteristic, complemented
18#75930C211yesmaximal, characteristic, complemented
19#75888C211yesmaximal, characteristic, complemented
20#75878C211yesmaximal, characteristic, complemented
21#75669C211yesmaximal, characteristic, complemented
22#75425C211yesmaximal, characteristic, complemented
23#75170C211yesmaximal, characteristic, complemented
24#74952C211yesmaximal, characteristic, complemented
25#74937C211yesmaximal, characteristic, complemented
26#74791C211yesmaximal, characteristic, complemented
27#74669C211yesmaximal, characteristic, complemented
28#74637C211yesmaximal, characteristic, complemented
29#74509C211yesmaximal, characteristic, complemented
30#74475C211yesmaximal, characteristic, complemented
31#74447C211yesmaximal, characteristic, complemented
32#36771—31nomaximal, Sylow
33C2×#940C2211yescharacteristic
34C2×#938C2211yescharacteristic
35C2×#930C2211yescharacteristic
36C2×#929C2211yescharacteristic
37C2×#898C2211yescharacteristic
38C2×#897C2211yescharacteristic
39C2×#895C2211yescharacteristic
40C2×#894C2211yescharacteristic
41C2×#893C2211yescharacteristic
42C2×#892C2211yescharacteristic
43C2×#889C2211yescharacteristic
44C2×#886C2211yescharacteristic
45C2×#885C2211yescharacteristic
46C2×#884C2211yescharacteristic
47C2×#884C2211yescharacteristic
48C2×#884C2211yescharacteristic
49C2×#884C2211yescharacteristic
50C2×#884C2211yescharacteristic
51C2×#878C2211yescharacteristic
52C2×#876C2211yescharacteristic
53C2×C42×D3C2211yescharacteristic
54C3×#400C2211yescharacteristic
55C3×#399C2211yescharacteristic
56C3×#397C2211yescharacteristic
57C3×#397C2211yescharacteristic
58C3×#397C2211yescharacteristic
59C3×#394C2211yescharacteristic
60C3×#390C2211yescharacteristic
61C3×#389C2211yescharacteristic
62C3×#388C2211yescharacteristic
63C3×#388C2211yescharacteristic
64C3×#387C2211yescharacteristic
65C3×#387C2211yescharacteristic
66C3×#386C2211yescharacteristic
67C3×#385C2211yescharacteristic
68C3×#385C2211yescharacteristic
69#5223C2211yescharacteristic
70#5220C2211yescharacteristic
71#5213C2211yescharacteristic
72C4×#217C2211yescharacteristic
73#4994C2211yescharacteristic
74#4994C2211yescharacteristic
75#4994C2211yescharacteristic
76#4993C2211yescharacteristic
77#4992C2211yescharacteristic
78#4991C2211yescharacteristic
79#4991C2211yescharacteristic
80#4991C2211yescharacteristic
81#4990C2211yescharacteristic
82#4990C2211yescharacteristic
83#4989C2211yescharacteristic
84#4989C2211yescharacteristic
85#4989C2211yescharacteristic
86#4988C2211yescharacteristic
87#4988C2211yescharacteristic
88#4987C2211yescharacteristic
89#4987C2211yescharacteristic
90#4986C2211yescharacteristic
91#4980C2211yescharacteristic
92#4980C2211yescharacteristic
93#4980C2211yescharacteristic
94#4980C2211yescharacteristic
95#4975C2211yescharacteristic
96#4973C2211yescharacteristic
97#4972C2211yescharacteristic
98#4961C2211yescharacteristic
99#4961C2211yescharacteristic
100#4961C2211yescharacteristic
101#4961C2211yescharacteristic
102#4961C2211yescharacteristic
103#4961C2211yescharacteristic
104#4961C2211yescharacteristic
105#4960C2211yescharacteristic
106#4960C2211yescharacteristic
107#4960C2211yescharacteristic
108#4960C2211yescharacteristic
109#4959C2211yescharacteristic
110#4959C2211yescharacteristic
111#4959C2211yescharacteristic
112#4958C2211yescharacteristic
113#4958C2211yescharacteristic
114#4958C2211yescharacteristic
115#4957C2211yescharacteristic
116#4957C2211yescharacteristic
117#4957C2211yescharacteristic
118#4957C2211yescharacteristic
119#4957C2211yescharacteristic
120#4957C2211yescharacteristic
121#4956C2211yescharacteristic
122#4956C2211yescharacteristic
123#4956C2211yescharacteristic
124#4956C2211yescharacteristic
125#4956C2211yescharacteristic
126#4952C2211yescharacteristic
127#4951C2211yescharacteristic
128#4951C2211yescharacteristic
129#4948C2211yescharacteristic
130#4945C2211yescharacteristic
131#4945C2211yescharacteristic
132#4944C2211yescharacteristic
133Dic3×C22⋊C4C2211yescharacteristic
134#4940C2211yescharacteristic
135#4939C2211yescharacteristic
136#4939C2211yescharacteristic
137C4×(C2×D3)⋊C4C2211yescharacteristic
138#4929C2211yescharacteristic
139#4928C2211yescharacteristic
140#4677C2211yescharacteristic
141#4675C2211yescharacteristic
142#4675C2211yescharacteristic
143#4673C2211yescharacteristic
144#4673C2211yescharacteristic
145#4672C2211yescharacteristic
146#4672C2211yescharacteristic
147#4671C2211yescharacteristic
148#4671C2211yescharacteristic
149#4671C2211yescharacteristic
150#4670C2211yescharacteristic
151#4670C2211yescharacteristic
152#4669C2211yescharacteristic
153#4669C2211yescharacteristic
154#4669C2211yescharacteristic
155#4669C2211yescharacteristic
156#4668C2211yescharacteristic
157#4668C2211yescharacteristic
158#4666C2211yescharacteristic
159#4666C2211yescharacteristic
160#4666C2211yescharacteristic
161#4665C2211yescharacteristic
162#4665C2211yescharacteristic
163#4665C2211yescharacteristic
164#4665C2211yescharacteristic
165#4665C2211yescharacteristic
166#4665C2211yescharacteristic
167#4665C2211yescharacteristic
168#4665C2211yescharacteristic
169#4664C2211yescharacteristic
170#4664C2211yescharacteristic
171#4664C2211yescharacteristic
172#4661C2211yescharacteristic
173#4658C2211yescharacteristic
174#4658C2211yescharacteristic
175#4658C2211yescharacteristic
176#4657C2211yescharacteristic
177#4657C2211yescharacteristic
178#4655C2211yescharacteristic
179#4655C2211yescharacteristic
180#4655C2211yescharacteristic
181#4654C2211yescharacteristic
182#4654C2211yescharacteristic
183#4653C2211yescharacteristic
184#4653C2211yescharacteristic
185#4652C2211yescharacteristic
186#4649C2211yescharacteristic
187#4648C2211yescharacteristic
188#2856—31no—
189#2855—31no—
190#2796D311yescharacteristic, complemented
191#2794—31no—
192#2751—31no—
193#2730—31no—
194#2721—31no—
195#2714—31no—
196#2711—31no—
197#2709—31no—
198#2708—31no—
199#2705—31no—
200#2703—31no—
201#2691—31no—
202#2688—31no—
203#2681—31no—
204#2676—31no—
205#2673—31no—
206#2635—31no—
207#2635—31no—
208#2560—31no—
209#2559—31no—
210#2558—31no—
211#2557—31no—
212#2531—31no—
213#2526—31no—
214#2476—31no—
215#2471—31no—
216#2333—31no—
217#2333—31no—
218#2290—31no—
219C22×C3×D4C2311yescharacteristic
220C23×C3×C4C2311yescharacteristic
221C22×#67C2311yescharacteristic
222C22×#67C2311yescharacteristic
223C22×#67C2311yescharacteristic
224C22×#67C2311yescharacteristic
225C22×#67C2311yescharacteristic
226C22×#67C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C23×Dic3C2311yescharacteristic
230C22×D12C2311yescharacteristic
231C22×D12C2311yescharacteristic
232C22×D12C2311yescharacteristic
233C22×D12C2311yescharacteristic
234C22×D12C2311yescharacteristic
235C22×D12C2311yescharacteristic
236C22×C4×D3C2311yescharacteristic
237C22×C4×D3C2311yescharacteristic
238C22×C4×D3C2311yescharacteristic
239C22×C4×D3C2311yescharacteristic
240C22×C4×D3C2311yescharacteristic
241C22×C4×D3C2311yescharacteristic
242C22×Dic6C2311yescharacteristic
243C2×C3×C4⋊C4C2311yescharacteristic
244C2×C3×C4⋊C4C2311yescharacteristic
245C2×C3×C4⋊C4C2311yescharacteristic
246C2×C3×C4⋊C4C2311yescharacteristic
247C2×C3×C4⋊C4C2311yescharacteristic
248C2×C3×C4⋊C4C2311yescharacteristic
249C2×C3×C4⋊C4C2311yescharacteristic
250C2×C3×C4⋊C4C2311yescharacteristic
251C2×C3×C22⋊C4C2311yescharacteristic
252C2×C3×C22⋊C4C2311yescharacteristic
253C2×C3×C22⋊C4C2311yescharacteristic
254C2×C3×C22⋊C4C2311yescharacteristic
255C2×C3×C22⋊C4C2311yescharacteristic
256C2×C3×C22⋊C4C2311yescharacteristic
257C2×C3×C22⋊C4C2311yescharacteristic
258C2×C3×C22⋊C4C2311yescharacteristic
259C2×C3×C22⋊C4C2311yescharacteristic
260C2×C3×C22⋊C4C2311yescharacteristic
261C2×C3×C22⋊C4C2311yescharacteristic
262C2×C3×C42C2311yescharacteristic
263C2×C3×C42C2311yescharacteristic
264C2×#217C2311yescharacteristic
265C2×#217C2311yescharacteristic
266C2×#217C2311yescharacteristic
267C2×#217C2311yescharacteristic
268C2×#217C2311yescharacteristic
269C2×#217C2311yescharacteristic
270C2×#217C2311yescharacteristic
271#940—42no—
272#938—24no—
273#930—42no—
274#929—42no—
275C2×(C2×D3)⋊C4C2311yescharacteristic
276C2×(C2×D3)⋊C4C2311yescharacteristic
277C2×(C2×D3)⋊C4C2311yescharacteristic
278C2×(C2×D3)⋊C4C2311yescharacteristic
279C2×(C2×D3)⋊C4C2311yescharacteristic
280C2×(C2×D3)⋊C4C2311yescharacteristic
281C2×(C2×D3)⋊C4C2311yescharacteristic
282C2×(C2×D3)⋊C4C2311yescharacteristic
283C2×(C2×D3)⋊C4C2311yescharacteristic
284C2×(C2×D3)⋊C4C2311yescharacteristic
285C2×(C2×D3)⋊C4C2311yescharacteristic
286C2×(C2×D3)⋊C4C2311yescharacteristic
287C2×(C2×D3)⋊C4C2311yescharacteristic
288C2×(C2×D3)⋊C4C2311yescharacteristic
289C2×(C2×D3)⋊C4C2311yescharacteristic
290C2×(C2×D3)⋊C4C2311yescharacteristic
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×C4⋊Dic3C2311yescharacteristic
310C2×C4⋊Dic3C2311yescharacteristic
311C2×C4⋊Dic3C2311yescharacteristic
312C2×C4⋊Dic3C2311yescharacteristic
313C2×C4⋊Dic3C2311yescharacteristic
314C2×C4⋊Dic3C2311yescharacteristic
315C2×C4⋊Dic3C2311yescharacteristic
316C2×C4⋊Dic3C2311yescharacteristic
317C2×Dic3⋊C4C2311yescharacteristic
318C2×Dic3⋊C4C2311yescharacteristic
319C2×Dic3⋊C4C2311yescharacteristic
320C2×Dic3⋊C4C2311yescharacteristic
321C2×Dic3⋊C4C2311yescharacteristic
322C2×Dic3⋊C4C2311yescharacteristic
323C2×Dic3⋊C4C2311yescharacteristic
324C2×Dic3⋊C4C2311yescharacteristic
325C2×Dic3⋊C4C2311yescharacteristic
326C2×Dic3⋊C4C2311yescharacteristic
327C2×Dic3⋊C4C2311yescharacteristic
328C2×Dic3⋊C4C2311yescharacteristic
329C2×C4×Dic3C2311yescharacteristic
330C2×C4×Dic3C2311yescharacteristic
331C2×C4×Dic3C2311yescharacteristic
332C2×C4×Dic3C2311yescharacteristic
333C2×C4×Dic3C2311yescharacteristic
334C2×C4×Dic3C2311yescharacteristic
335C2×C4×Dic3C2311yescharacteristic
336C2×C4×Dic3C2311yescharacteristic
337C2×C4×Dic3C2311yescharacteristic
338#898—42no—
339#897—42no—
340#895—24no—
341#894—42no—
342#893—24no—
343#892—42no—
344#889—42no—
345#886—42no—
346#885—42no—
347#884—42no—
348#884—42no—
349#884—42no—
350#884—42no—
351#884—42no—
352#878—42no—
353#876—42no—
354C42×D3—42no—
355C3×#95C2311yescharacteristic
356C3×#95C2311yescharacteristic
357C3×#95C2311yescharacteristic
358C3×#95C2311yescharacteristic
359C3×#95C2311yescharacteristic
360C3×#95C2311yescharacteristic
361C3×#95C2311yescharacteristic
362C3×#95C2311yescharacteristic
363C3×#95C2311yescharacteristic
364C3×#95C2311yescharacteristic
365C3×#95C2311yescharacteristic
366C3×#95C2311yescharacteristic
367C3⋊#95C2311yescharacteristic
368C3⋊#95C2311yescharacteristic
369C3⋊#95C2311yescharacteristic
370C3⋊#95C2311yescharacteristic
371C3⋊#95C2311yescharacteristic
372C3⋊#95C2311yescharacteristic
373C3⋊#95C2311yescharacteristic
374C3⋊#95C2311yescharacteristic
375C3⋊#95C2311yescharacteristic
376C3⋊#95C2311yescharacteristic
377C3⋊#95C2311yescharacteristic
378C3⋊#95C2311yescharacteristic
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
395C2×#127—31no—
396C2×#126—31no—
397C2×#126—31no—
398C2×#125—31no—
399C2×#124—31no—
400C2×#123—31no—
401C2×#123—31no—
402C2×#123—31no—
403C2×C22⋊Q8—31no—
404C2×C22⋊Q8—31no—
405C2×#121—31no—
406C2×#121—31no—
407C2×#121—31no—
408C2×#121—31no—
409C2×#121—31no—
410C2×#121—31no—
411C2×#121—31no—
412C2×#121—31no—
413C2×C4×D4—31no—
414C2×#117—31no—
415C22×C42—31no—
416#400—31no—
417#400—31no—
418#400—31no—
419#400—31no—
420#400C2×D311yescharacteristic
421#399—31no—
422#399—31no—
423#399C2×D311yescharacteristic
424#398—31no—
425#398—31no—
426#398—31no—
427#397—31no—
428#397—31no—
429#397—31no—
430#397—31no—
431#397C2×D311yescharacteristic
432#397C2×D311yescharacteristic
433#397C2×D311yescharacteristic
434#396—31no—
435#396—31no—
436#396—31no—
437#396—31no—
438#394—31no—
439#394—31no—
440#394—31no—
441#394—31no—
442#394—31no—
443#394—31no—
444#394—31no—
445#394—31no—
446#394—31no—
447#394—31no—
448#394—31no—
449#394—31no—
450#394—31no—
451#394—31no—
452#394—31no—
453#394C2×D311yescharacteristic
454#393—31no—
455#393—31no—
456#392—31no—
457#392—31no—
458#392—31no—
459#392—31no—
460#392—31no—
461#392—31no—
462#392—31no—
463#392—31no—
464#391—31no—
465#391—31no—
466#390—31no—
467#390—31no—
468#390—31no—
469#390—31no—
470#390—31no—
471#390—31no—
472#390—31no—
473#390—31no—
474#390—31no—
475#390—31no—
476#390C2×D311yescharacteristic
477#389—31no—
478#389—31no—
479#389C2×D311yescharacteristic
480#388—31no—
481#388—31no—
482#388—31no—
483#388—31no—
484#388—31no—
485#388—31no—
486#388—31no—
487#388—31no—
488#388—31no—
489#388—31no—
490#388—31no—
491#388—31no—
492#388—31no—
493#388—31no—
494#388C2×D311yescharacteristic
495#388C2×D311yescharacteristic
496#387—31no—
497#387—31no—
498#387—31no—
499#387—31no—
500#387—31no—
501#387—31no—
502#387—31no—
503#387—31no—
504#387—31no—
505#387—31no—
506#387—31no—
507#387—31no—
508#387C2×D311yescharacteristic
509#387C2×D311yescharacteristic
510#386—31no—
511#386—31no—
512#386—31no—
513#386—31no—
514#386—31no—
515#386—31no—
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#386C2×D311yescharacteristic
529#385—31no—
530#385—31no—
531#385—31no—
532#385—31no—
533#385—31no—
534#385C2×D311yescharacteristic
535#385C2×D311yescharacteristic
536#384—31no—
537#381—31no—
538#381—31no—
539#381—31no—
540#380—31no—
541#380—31no—
542C4×C4⋊C4—31no—
543C4×C22⋊C4—31no—
544C4×C22⋊C4—31no—
545C4×C22⋊C4—31no—
546C4×C22⋊C4—31no—
547C4×C22⋊C4—31no—
548C4×C22⋊C4—31no—
549#376—31no—
550C24×C3C2411yescharacteristic
551C24×C3C2411yescharacteristic
552C23×D3C2411yescharacteristic
553C23×D3C2411yescharacteristic
554C23×D3C2411yescharacteristic
555C23×D3C2411yescharacteristic
556C2×C3×D4—22no—
557C2×C3×D4—41no—
558C2×C3×D4—41no—
559C22×C3×C4—41no—
560C22×C3×C4—41no—
561C22×C3×C4—41no—
562C22×C3×C4C2411yescharacteristic
563C22×C3×C4C2411yescharacteristic
564C22×C3×C4C2411yescharacteristic
565C22×C3×C4C2411yescharacteristic
566C22×C3×C4C2411yescharacteristic
567C22×C3×C4C2411yescharacteristic
568C22×C3×C4C2411yescharacteristic
569C22×C3×C4C2411yescharacteristic
570C22×C3×C4C2411yescharacteristic
571C22×C3×C4C2411yescharacteristic
572C22×C3×C4C2411yescharacteristic
573C22×C3×C4C2411yescharacteristic
574C22×C3×C4C2411yescharacteristic
575C2×#67—22no—
576C2×#67—22no—
577C2×#67—22no—
578C2×#67—22no—
579C2×#67—22no—
580C2×#67—22no—
581C2×#67—41no—
582C2×#67—41no—
583C2×#67—41no—
584C2×#67—41no—
585C2×#67—41no—
586C2×#67—41no—
587C2×#67—41no—
588C2×#67—41no—
589C2×#67—41no—
590C2×#67—41no—
591C2×#67—41no—
592C2×#67—41no—
593C2×#67—41no—
594C2×#67—41no—
595C2×#67—41no—
596C2×#67—41no—
597C2×#67—41no—
598C2×#67—41no—
599C22×Dic3—41no—
600C22×Dic3—41no—
601C22×Dic3—41no—
602C22×Dic3C2411yescharacteristic
603C22×Dic3C2411yescharacteristic
604C22×Dic3C2411yescharacteristic
605C22×Dic3C2411yescharacteristic
606C22×Dic3C2411yescharacteristic
607C22×Dic3C2411yescharacteristic
608C22×Dic3C2411yescharacteristic
609C22×Dic3C2411yescharacteristic
610C22×Dic3C2411yescharacteristic
611C22×Dic3C2411yescharacteristic
612C22×Dic3C2411yescharacteristic
613C22×Dic3C2411yescharacteristic
614C2×D12—22no—
615C2×D12—22no—
616C2×D12—22no—
617C2×D12—22no—
618C2×D12—41no—
619C2×D12—41no—
620C2×D12—41no—
621C2×D12—41no—
622C2×D12—41no—
623C2×D12—41no—
624C2×D12—41no—
625C2×D12—41no—
626C2×D12—41no—
627C2×D12—41no—
628C2×D12—41no—
629C2×D12—41no—
630C2×D12—41no—
631C2×D12—41no—
632C2×C4×D3—22no—
633C2×C4×D3—22no—
634C2×C4×D3—22no—
635C2×C4×D3—22no—
636C2×C4×D3—41no—
637C2×C4×D3—41no—
638C2×C4×D3—41no—
639C2×C4×D3—41no—
640C2×C4×D3—41no—
641C2×C4×D3—41no—
642C2×C4×D3—41no—
643C2×C4×D3—41no—
644C2×C4×D3—41no—
645C2×C4×D3—41no—
646C2×C4×D3—41no—
647C2×C4×D3—41no—
648C2×C4×D3—41no—
649C2×C4×D3#4114yes—
650C2×Dic6—22no—
651C2×Dic6—41no—
652C2×Dic6—41no—
653C3×C4⋊C4—22no—
654C3×C4⋊C4—22no—
655C3×C4⋊C4—22no—
656C3×C4⋊C4—41no—
657C3×C4⋊C4—41no—
658C3×C4⋊C4—41no—
659C3×C4⋊C4—41no—
660C3×C4⋊C4—41no—
661C3×C22⋊C4—22no—
662C3×C22⋊C4—22no—
663C3×C22⋊C4—41no—
664C3×C22⋊C4—41no—
665C3×C22⋊C4—41no—
666C3×C22⋊C4—41no—
667C3×C22⋊C4—41no—
668C3×C22⋊C4—41no—
669C3×C22⋊C4—41no—
670C3×C22⋊C4—41no—
671C3×C22⋊C4—41no—
672C3×C42—41no—
673C3×C42—41no—
674#217—22no—
675#217—22no—
676#217—41no—
677#217—41no—
678#217—41no—
679#217—41no—
680#217—41no—
681(C2×D3)⋊C4—22no—
682(C2×D3)⋊C4—22no—
683(C2×D3)⋊C4—22no—
684(C2×D3)⋊C4—22no—
685(C2×D3)⋊C4—22no—
686(C2×D3)⋊C4—22no—
687(C2×D3)⋊C4—22no—
688(C2×D3)⋊C4—22no—
689(C2×D3)⋊C4—22no—
690(C2×D3)⋊C4—41no—
691(C2×D3)⋊C4—41no—
692(C2×D3)⋊C4—41no—
693(C2×D3)⋊C4—41no—
694(C2×D3)⋊C4—41no—
695(C2×D3)⋊C4—41no—
696(C2×D3)⋊C4—41no—
697(C2×D3)⋊C4—41no—
698(C2×D3)⋊C4—41no—
699(C2×D3)⋊C4—41no—
700(C2×D3)⋊C4—41no—
701(C2×D3)⋊C4—41no—
702(C2×D3)⋊C4—41no—
703(C2×D3)⋊C4—41no—
704(C2×D3)⋊C4—41no—
705(C2×D3)⋊C4—41no—
706(C2×D3)⋊C4—41no—
707(C2×D3)⋊C4—41no—
708(C2×D3)⋊C4—41no—
709(C2×D3)⋊C4—41no—
710(C2×D3)⋊C4—41no—
711(C2×D3)⋊C4—41no—
712(C2×D3)⋊C4—41no—
713(C2×D3)⋊C4—41no—
714(C2×D3)⋊C4—41no—
715C4⋊Dic3—22no—
716C4⋊Dic3—22no—
717C4⋊Dic3—22no—
718C4⋊Dic3—22no—
719C4⋊Dic3—41no—
720C4⋊Dic3—41no—
721C4⋊Dic3—41no—
722C4⋊Dic3—41no—
723Dic3⋊C4—22no—
724Dic3⋊C4—22no—
725Dic3⋊C4—22no—
726Dic3⋊C4—22no—
727Dic3⋊C4—22no—
728Dic3⋊C4—22no—
729Dic3⋊C4—41no—
730Dic3⋊C4—41no—
731Dic3⋊C4—41no—
732Dic3⋊C4—41no—
733Dic3⋊C4—41no—
734Dic3⋊C4—41no—
735C4×Dic3—22no—
736C4×Dic3—22no—
737C4×Dic3—22no—
738C4×Dic3—41no—
739C4×Dic3—41no—
740C4×Dic3—41no—
741C4×Dic3—41no—
742C4×Dic3—41no—
743C4×Dic3—41no—
744C22×Q8—31no—
745C22×D4—31no—
746C22×D4—31no—
747C22×D4—31no—
748C22×D4—31no—
749C22×D4—31no—
750C22×D4—31no—
751C22×D4—31no—
752C22×D4—31no—
753C22×D4—31no—
754C22×D4—31no—
755C22×D4—31no—
756C22×D4—31no—
757C22×D4—31no—
758C22×D4—31no—
759C22×D4C22×D311yescharacteristic
760C23×C4—31no—
761C23×C4—31no—
762C23×C4—31no—
763C23×C4—31no—
764C23×C4—31no—
765C23×C4—31no—
766C23×C4—31no—
767C23×C4C22×D311yescharacteristic
768#127—122no—
769#126—122no—
770#126—122no—
771#125—122no—
772#124—122no—
773#123—122no—
774#123—122no—
775#123—122no—
776C22⋊Q8—122no—
777C22⋊Q8—122no—
778#121—64no—
779#121—64no—
780#121—122no—
781#121—122no—
782#121—122no—
783#121—122no—
784#121—122no—
785#121—122no—
786C4×D4—64no—
787#117—122no—
788C2×C4⋊C4—31no—
789C2×C4⋊C4—31no—
790C2×C4⋊C4—31no—
791C2×C4⋊C4—31no—
792C2×C4⋊C4—31no—
793C2×C4⋊C4—31no—
794C2×C4⋊C4—31no—
795C2×C4⋊C4—31no—
796C2×C4⋊C4—31no—
797C2×C4⋊C4—31no—
798C2×C4⋊C4—31no—
799C2×C4⋊C4—31no—
800C2×C4⋊C4—31no—
801C2×C4⋊C4—31no—
802C2×C4⋊C4—31no—
803C2×C4⋊C4—31no—
804C2×C4⋊C4—31no—
805C2×C4⋊C4—31no—
806C2×C4⋊C4—31no—
807C2×C4⋊C4—31no—
808C2×C4⋊C4C22×D311yescharacteristic
809C2×C4⋊C4C22×D311yescharacteristic
810C2×C4⋊C4C22×D311yescharacteristic
811C2×C4⋊C4C22×D311yescharacteristic
812C2×C4⋊C4C22×D311yescharacteristic
813C2×C4⋊C4C22×D311yescharacteristic
814C2×C4⋊C4C22×D311yescharacteristic
815C2×C4⋊C4C22×D311yescharacteristic
816C2×C22⋊C4—31no—
817C2×C22⋊C4—31no—
818C2×C22⋊C4—31no—
819C2×C22⋊C4—31no—
820C2×C22⋊C4—31no—
821C2×C22⋊C4—31no—
822C2×C22⋊C4—31no—
823C2×C22⋊C4—31no—
824C2×C22⋊C4—31no—
825C2×C22⋊C4—31no—
826C2×C22⋊C4—31no—
827C2×C22⋊C4—31no—
828C2×C22⋊C4—31no—
829C2×C22⋊C4—31no—
830C2×C22⋊C4—31no—
831C2×C22⋊C4—31no—
832C2×C22⋊C4—31no—
833C2×C22⋊C4—31no—
834C2×C22⋊C4—31no—
835C2×C22⋊C4—31no—
836C2×C22⋊C4—31no—
837C2×C22⋊C4—31no—
838C2×C22⋊C4—31no—
839C2×C22⋊C4—31no—
840C2×C22⋊C4—31no—
841C2×C22⋊C4—31no—
842C2×C22⋊C4—31no—
843C2×C22⋊C4—31no—
844C2×C22⋊C4—31no—
845C2×C22⋊C4—31no—
846C2×C22⋊C4—31no—
847C2×C22⋊C4—31no—
848C2×C22⋊C4—31no—
849C2×C22⋊C4—31no—
850C2×C22⋊C4—31no—
851C2×C22⋊C4—31no—
852C2×C22⋊C4—31no—
853C2×C22⋊C4—31no—
854C2×C22⋊C4—31no—
855C2×C22⋊C4—31no—
856C2×C22⋊C4—31no—
857C2×C22⋊C4C22×D311yescharacteristic
858C2×C22⋊C4C22×D311yescharacteristic
859C2×C22⋊C4C22×D311yescharacteristic
860C2×C22⋊C4C22×D311yescharacteristic
861C2×C22⋊C4C22×D311yescharacteristic
862C2×C22⋊C4C22×D311yescharacteristic
863C2×C22⋊C4C22×D311yescharacteristic
864C2×C22⋊C4C22×D311yescharacteristic
865C2×C22⋊C4C22×D311yescharacteristic
866C2×C22⋊C4C22×D311yescharacteristic
867C2×C22⋊C4C22×D311yescharacteristic
868C2×C42—31no—
869C2×C42—31no—
870C2×C42—31no—
871C2×C42—31no—
872C2×C42—31no—
873C2×C42—31no—
874C2×C42—31no—
875C2×C42—31no—
876C2×C42—31no—
877C2×C42—122no—
878C2×C42C22×D311yescharacteristic
879C2×C42C22×D311yescharacteristic
880#95—31no—
881#95—31no—
882#95—31no—
883#95—31no—
884#95—31no—
885#95—31no—
886#95—31no—
887#95—31no—
888#95—31no—
889#95—31no—
890#95—31no—
891#95—31no—
892#95—31no—
893#95—31no—
894#95—31no—
895#95—31no—
896#95—31no—
897#95—31no—
898#95—31no—
899#95—31no—
900#95—31no—
901#95—31no—
902#95—31no—
903#95—31no—
904#95—31no—
905#95—31no—
906#95—31no—
907#95—31no—
908#95C22×D311yescharacteristic
909#95C22×D311yescharacteristic
910#95C22×D311yescharacteristic
911#95C22×D311yescharacteristic
912#95C22×D311yescharacteristic
913#95C22×D311yescharacteristic
914#95C22×D311yescharacteristic
915#95C22×D311yescharacteristic
916#95C22×D311yescharacteristic
917#95C22×D311yescharacteristic
918#95C22×D311yescharacteristic
919#95C22×D311yescharacteristic
920C23×C3—21no—
921C23×C3—21no—
922C23×C3—21no—
923C23×C3—21no—
924C23×C3—21no—
925C23×C3—21no—
926C23×C3—21no—
927C23×C3—21no—
928C23×C3—21no—
929C23×C3—21no—
930C23×C3—21no—
931C23×C3—21no—
932C23×C3—21no—
933C23×C3—21no—
934C23×C3C2511yescharacteristic
935C22×D3—21no—
936C22×D3—21no—
937C22×D3—21no—
938C22×D3—21no—
939C22×D3—21no—
940C22×D3—21no—
941C22×D3—21no—
942C22×D3—21no—
943C22×D3—21no—
944C22×D3—21no—
945C22×D3—21no—
946C22×D3—21no—
947C22×D3—21no—
948C22×D3—21no—
949C22×D3—21no—
950C22×D3—21no—
951C22×D3—21no—
952C22×D3—21no—
953C22×D3—21no—
954C22×D3—21no—
955C22×D3—21no—
956C22×D3—21no—
957C22×D3—21no—
958C22×D3—21no—
959C22×D3—21no—
960C22×D3—21no—
961C22×D3—21no—
962C22×D3C2×#4112yes—
963C3×D4—82no—
964C2×C3×C4—21no—
965C2×C3×C4—21no—
966C2×C3×C4—21no—
967C2×C3×C4—21no—
968C2×C3×C4—21no—
969C2×C3×C4—21no—
970C2×C3×C4—21no—
971C2×C3×C4—21no—
972C2×C3×C4—21no—
973C2×C3×C4—21no—
974C2×C3×C4—21no—
975C2×C3×C4—21no—
976C2×C3×C4—21no—
977C2×C3×C4—21no—
978C2×C3×C4—21no—
979C2×C3×C4—21no—
980C2×C3×C4—21no—
981C2×C3×C4—21no—
982C2×C3×C4—21no—
983C2×C3×C4—21no—
984C2×C3×C4—21no—
985C2×C3×C4—21no—
986C2×C3×C4—21no—
987C2×C3×C4—21no—
988C2×C3×C4—21no—
989C2×C3×C4—21no—
990C2×C3×C4—21no—
991C2×C3×C4—21no—
992C2×C3×C4—21no—
993C2×C3×C4—21no—
994C2×C3×C4—21no—
995C2×C3×C4—21no—
996C2×C3×C4—21no—
997C2×C3×C4—21no—
998C2×C3×C4—21no—
999C2×C3×C4—21no—
1000C2×C3×C4—21no—
1001C2×C3×C4—82no—
1002C2×C3×C4C2×#4112yes—
1003C2×C3×C4H(5,𝔽2)12yes—
1004#67—82no—
1005#67—82no—
1006#67—82no—
1007#67—82no—
1008#67—82no—
1009#67—82no—
1010#67—82no—
1011#67—82no—
1012C2×Dic3—21no—
1013C2×Dic3—21no—
1014C2×Dic3—21no—
1015C2×Dic3—21no—
1016C2×Dic3—21no—
1017C2×Dic3—21no—
1018C2×Dic3—21no—
1019C2×Dic3—21no—
1020C2×Dic3—21no—
1021C2×Dic3—21no—
1022C2×Dic3—21no—
1023C2×Dic3—21no—
1024C2×Dic3—21no—
1025C2×Dic3—21no—
1026C2×Dic3—21no—
1027C2×Dic3—21no—
1028C2×Dic3—21no—
1029C2×Dic3—21no—
1030C2×Dic3—21no—
1031C2×Dic3—21no—
1032C2×Dic3—21no—
1033C2×Dic3—21no—
1034C2×Dic3—21no—
1035C2×Dic3—21no—
1036C2×Dic3—21no—
1037C2×Dic3—21no—
1038C2×Dic3—21no—
1039C2×Dic3—21no—
1040C2×Dic3—21no—
1041C2×Dic3—21no—
1042C2×Dic3—21no—
1043C2×Dic3—21no—
1044C2×Dic3—21no—
1045C2×Dic3—82no—
1046C2×Dic3C2×#4112yes—
1047C2×Dic3H(5,𝔽2)12yes—
1048C2×Dic3H(5,𝔽2)12yes—
1049D12—44no—
1050D12—82no—
1051D12—82no—
1052D12—82no—
1053D12—82no—
1054D12—82no—
1055C4×D3—44no—
1056C4×D3—44no—
1057C4×D3—44no—
1058C4×D3—44no—
1059C4×D3—82no—
1060C4×D3—82no—
1061Dic6—82no—
1062C24—31no—
1063C24—31no—
1064C24—31no—
1065C24—31no—
1066C24C23×D311yescharacteristic
1067C24C23×D311yescharacteristic
1068C2×Q8—62no—
1069C2×Q8—121no—
1070C2×Q8—121no—
1071C2×D4—22no—
1072C2×D4—41no—
1073C2×D4—41no—
1074C2×D4—62no—
1075C2×D4—62no—
1076C2×D4—62no—
1077C2×D4—62no—
1078C2×D4—62no—
1079C2×D4—62no—
1080C2×D4—62no—
1081C2×D4—62no—
1082C2×D4—62no—
1083C2×D4—62no—
1084C2×D4—121no—
1085C2×D4—121no—
1086C2×D4—121no—
1087C2×D4—121no—
1088C2×D4—121no—
1089C2×D4—121no—
1090C2×D4—121no—
1091C2×D4—121no—
1092C2×D4—121no—
1093C2×D4—121no—
1094C2×D4—121no—
1095C2×D4—121no—
1096C2×D4—121no—
1097C2×D4—121no—
1098C2×D4—121no—
1099C2×D4—121no—
1100C2×D4—121no—
1101C2×D4—121no—
1102C2×D4—121no—
1103C2×D4—121no—
1104C2×D4—121no—
1105C2×D4—121no—
1106C2×D4—121no—
1107C2×D4—121no—
1108C2×D4—121no—
1109C2×D4—121no—
1110C2×D4—121no—
1111C2×D4—121no—
1112C2×D4—121no—
1113C2×D4—121no—
1114C2×D4—121no—
1115C2×D4—121no—
1116C22×C4—31no—
1117C22×C4—31no—
1118C22×C4—31no—
1119C22×C4—34no—
1120C22×C4—31no—
1121C22×C4—31no—
1122C22×C4—31no—
1123C22×C4—31no—
1124C22×C4—31no—
1125C22×C4—31no—
1126C22×C4—31no—
1127C22×C4—31no—
1128C22×C4—31no—
1129C22×C4—41no—
1130C22×C4—41no—
1131C22×C4—41no—
1132C22×C4—62no—
1133C22×C4—62no—
1134C22×C4—62no—
1135C22×C4—62no—
1136C22×C4—121no—
1137C22×C4—121no—
1138C22×C4—121no—
1139C22×C4—121no—
1140C22×C4—121no—
1141C22×C4—121no—
1142C22×C4—121no—
1143C22×C4—121no—
1144C22×C4—121no—
1145C22×C4—121no—
1146C22×C4—121no—
1147C22×C4—121no—
1148C22×C4—121no—
1149C22×C4—121no—
1150C22×C4—121no—
1151C22×C4—121no—
1152C22×C4C23×D311yescharacteristic
1153C22×C4C23×D311yescharacteristic
1154C22×C4C23×D311yescharacteristic
1155C22×C4C23×D311yescharacteristic
1156C22×C4C23×D311yescharacteristic
1157C22×C4C23×D311yescharacteristic
1158C22×C4C23×D311yescharacteristic
1159C22×C4C23×D311yescharacteristic
1160C22×C4C23×D311yescharacteristic
1161C22×C4C23×D311yescharacteristic
1162C22×C4C23×D311yescharacteristic
1163C22×C4C23×D311yescharacteristic
1164C22×C4C23×D311yescharacteristic
1165C4⋊C4—22no—
1166C4⋊C4—22no—
1167C4⋊C4—22no—
1168C4⋊C4—41no—
1169C4⋊C4—41no—
1170C4⋊C4—41no—
1171C4⋊C4—41no—
1172C4⋊C4—41no—
1173C4⋊C4—62no—
1174C4⋊C4—62no—
1175C4⋊C4—62no—
1176C4⋊C4—62no—
1177C4⋊C4—62no—
1178C4⋊C4—62no—
1179C4⋊C4—62no—
1180C4⋊C4—62no—
1181C4⋊C4—62no—
1182C4⋊C4—62no—
1183C4⋊C4—121no—
1184C4⋊C4—121no—
1185C4⋊C4—121no—
1186C4⋊C4—121no—
1187C4⋊C4—121no—
1188C4⋊C4—121no—
1189C4⋊C4—121no—
1190C4⋊C4—121no—
1191C4⋊C4—121no—
1192C4⋊C4—121no—
1193C22⋊C4—22no—
1194C22⋊C4—22no—
1195C22⋊C4—41no—
1196C22⋊C4—41no—
1197C22⋊C4—41no—
1198C22⋊C4—41no—
1199C22⋊C4—41no—
1200C22⋊C4—41no—
1201C22⋊C4—41no—
1202C22⋊C4—41no—
1203C22⋊C4—41no—
1204C22⋊C4—62no—
1205C22⋊C4—62no—
1206C22⋊C4—62no—
1207C22⋊C4—62no—
1208C22⋊C4—62no—
1209C22⋊C4—62no—
1210C22⋊C4—62no—
1211C22⋊C4—62no—
1212C22⋊C4—62no—
1213C22⋊C4—62no—
1214C22⋊C4—62no—
1215C22⋊C4—121no—
1216C22⋊C4—121no—
1217C22⋊C4—121no—
1218C22⋊C4—121no—
1219C22⋊C4—121no—
1220C22⋊C4—121no—
1221C22⋊C4—121no—
1222C22⋊C4—121no—
1223C22⋊C4—121no—
1224C22⋊C4—121no—
1225C22⋊C4—121no—
1226C22⋊C4—121no—
1227C22⋊C4—121no—
1228C22⋊C4—121no—
1229C22⋊C4—121no—
1230C22⋊C4—121no—
1231C22⋊C4—121no—
1232C22⋊C4—121no—
1233C22⋊C4—121no—
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—
1245C42—41no—
1246C42—41no—
1247C42—62no—
1248C42—62no—
1249C42—62no—
1250C42—121no—
1251C42—121no—
1252C42—121no—
1253C42—121no—
1254C42—121no—
1255C42—121no—
1256C22×C3—41no—
1257C22×C3—41no—
1258C22×C3—41no—
1259C22×C3—41no—
1260C22×C3—41no—
1261C22×C3—41no—
1262C22×C3—41no—
1263C22×C3—41no—
1264C22×C3—41no—
1265C22×C3—41no—
1266C22×C3—41no—
1267C22×C3—41no—
1268C22×C3—41no—
1269C22×C3—41no—
1270C22×C3C22×#4111yescharacteristic
1271C22×C3C2×H(5,𝔽2)11yescharacteristic
1272C22×C3C2×H(5,𝔽2)11yescharacteristic
1273C22×C3C2×H(5,𝔽2)11yescharacteristic
1274C22×C3#58511yescharacteristic
1275C22×C3#58511yescharacteristic
1276C22×C3#58511yescharacteristic
1277C2×D3—22no—
1278C2×D3—22no—
1279C2×D3—22no—
1280C2×D3—41no—
1281C2×D3—41no—
1282C2×D3—41no—
1283C2×D3—41no—
1284C2×D3—41no—
1285C2×D3—41no—
1286C2×D3—41no—
1287C2×D3—41no—
1288C2×D3—41no—
1289C2×D3—41no—
1290C2×D3—41no—
1291C2×D3—41no—
1292C2×D3—41no—
1293C2×D3—41no—
1294C2×D3—41no—
1295C2×D3—41no—
1296C2×D3—41no—
1297C2×D3—41no—
1298C2×D3—41no—
1299C2×D3—41no—
1300C2×D3—41no—
1301C2×D3—41no—
1302C2×D3—41no—
1303C2×D3—41no—
1304C2×D3—41no—
1305C3×C4—22no—
1306C3×C4—22no—
1307C3×C4—41no—
1308C3×C4—41no—
1309C3×C4—41no—
1310C3×C4—41no—
1311C3×C4—41no—
1312C3×C4—41no—
1313C3×C4—41no—
1314C3×C4—41no—
1315C3×C4—41no—
1316C3×C4—41no—
1317C3×C4—41no—
1318Dic3—22no—
1319Dic3—22no—
1320Dic3—22no—
1321Dic3—41no—
1322Dic3—41no—
1323Dic3—41no—
1324Dic3—41no—
1325Dic3—41no—
1326Dic3—41no—
1327Dic3—41no—
1328Dic3—41no—
1329Dic3—41no—
1330C23—21no—
1331C23—21no—
1332C23—21no—
1333C23—21no—
1334C23—21no—
1335C23—21no—
1336C23—21no—
1337C23—21no—
1338C23—21no—
1339C23—21no—
1340C23—21no—
1341C23—21no—
1342C23—21no—
1343C23—21no—
1344C23—32no—
1345C23—61no—
1346C23—61no—
1347C23—61no—
1348C23—61no—
1349C23—61no—
1350C23—61no—
1351C23—61no—
1352C23—61no—
1353C23—61no—
1354C23—61no—
1355C23—61no—
1356C23—61no—
1357C23—61no—
1358C23—61no—
1359C23—61no—
1360C23—61no—
1361C23—61no—
1362C23—61no—
1363C23—61no—
1364C23—61no—
1365C23—61no—
1366C23—61no—
1367C23—61no—
1368C23—61no—
1369C23—61no—
1370C23—61no—
1371C23—61no—
1372C23C24×D311yescharacteristic
1373Q8—242no—
1374D4—82no—
1375D4—124no—
1376D4—242no—
1377D4—242no—
1378D4—242no—
1379D4—242no—
1380D4—242no—
1381D4—242no—
1382D4—242no—
1383D4—242no—
1384D4—242no—
1385D4—242no—
1386D4—242no—
1387D4—242no—
1388D4—242no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—32no—
1427C2×C4—32no—
1428C2×C4—32no—
1429C2×C4—61no—
1430C2×C4—61no—
1431C2×C4—61no—
1432C2×C4—61no—
1433C2×C4—61no—
1434C2×C4—61no—
1435C2×C4—61no—
1436C2×C4—61no—
1437C2×C4—61no—
1438C2×C4—61no—
1439C2×C4—61no—
1440C2×C4—61no—
1441C2×C4—61no—
1442C2×C4—61no—
1443C2×C4—61no—
1444C2×C4—61no—
1445C2×C4—61no—
1446C2×C4—61no—
1447C2×C4—61no—
1448C2×C4—61no—
1449C2×C4—61no—
1450C2×C4—61no—
1451C2×C4—61no—
1452C2×C4—61no—
1453C2×C4—61no—
1454C2×C4—61no—
1455C2×C4—61no—
1456C2×C4—61no—
1457C2×C4—61no—
1458C2×C4—61no—
1459C2×C4—61no—
1460C2×C4—61no—
1461C2×C4—61no—
1462C2×C4—82no—
1463C2×C4—124no—
1464C2×C4—124no—
1465C2×C4—124no—
1466C2×C4—124no—
1467C2×C4—242no—
1468C2×C4—242no—
1469C2×C4—242no—
1470C2×C4D3×#4112yes—
1471C2×C4#100912yes—
1472C2×C3—81no—
1473C2×C3—81no—
1474C2×C3#345511yescharacteristic
1475C2×C3#350511yescharacteristic
1476C2×C3#350811yescharacteristic
1477C2×C3#353411yescharacteristic
1478C2×C3#354211yescharacteristic
1479C2×C3#355111yescharacteristic
1480C2×C3#356211yescharacteristic
1481D3—42no—
1482D3—81no—
1483D3—81no—
1484D3—81no—
1485C22—41no—
1486C22—41no—
1487C22—41no—
1488C22—41no—
1489C22—41no—
1490C22—41no—
1491C22—41no—
1492C22—41no—
1493C22—41no—
1494C22—41no—
1495C22—41no—
1496C22—41no—
1497C22—41no—
1498C22—41no—
1499C22—62no—
1500C22—62no—
1501C22—62no—
1502C22—121no—
1503C22—121no—
1504C22—121no—
1505C22—121no—
1506C22—121no—
1507C22—121no—
1508C22—121no—
1509C22—121no—
1510C22—121no—
1511C22—121no—
1512C22—121no—
1513C22—121no—
1514C22—121no—
1515C22—121no—
1516C22—121no—
1517C22—121no—
1518C22—121no—
1519C22—121no—
1520C22—121no—
1521C22—121no—
1522C22—121no—
1523C22—121no—
1524C22—121no—
1525C22—121no—
1526C22—121no—
1527C22C2×D3×#4111yescharacteristic
1528C22C2×#100911yescharacteristic
1529C22#596411yescharacteristic
1530C22D3×H(5,𝔽2)11yescharacteristic
1531C22D3×H(5,𝔽2)11yescharacteristic
1532C22#596611yescharacteristic
1533C22#596811yescharacteristic
1534C4—22no—
1535C4—22no—
1536C4—41no—
1537C4—41no—
1538C4—41no—
1539C4—41no—
1540C4—41no—
1541C4—41no—
1542C4—41no—
1543C4—41no—
1544C4—41no—
1545C4—41no—
1546C4—41no—
1547C4—62no—
1548C4—62no—
1549C4—62no—
1550C4—121no—
1551C4—121no—
1552C4—121no—
1553C4—121no—
1554C4—121no—
1555C4—121no—
1556C4—121no—
1557C4—121no—
1558C4—121no—
1559C3#3677111yescharacteristic, complemented, Sylow
1560C2—81no—
1561C2—81no—
1562C2—122no—
1563C2—241no—
1564C2—241no—
1565C2—241no—
1566C2#8644411yescharacteristic
1567C2#8645911yescharacteristic
1568C2#8652311yescharacteristic
1569C2#8681711yescharacteristic
1570C2#8689711yescharacteristic
1571C2#8705111yescharacteristic
1572C2#8707411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2796C2
hypercenter#2796D3
hypocenterC3#36771
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2796

Complements

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

NH ≅ G/Ntype
1. C3×#2796C2semidirect
2. #78302C2semidirect
3. #78212C2semidirect
4. #78067C2semidirect
5. #78026C2semidirect
6. #77699C2semidirect
7. #77695C2semidirect
8. #77693C2semidirect
9. #77518C2semidirect
10. #77517C2semidirect
11. #77511C2semidirect
12. #77029C2semidirect
13. #76980C2semidirect
14. #76476C2semidirect
15. #76400C2semidirect
16. #76287C2semidirect
17. #76113C2semidirect
18. #75930C2semidirect
19. #75888C2semidirect
20. #75878C2semidirect
21. #75669C2semidirect
22. #75425C2semidirect
23. #75170C2semidirect
24. #74952C2semidirect
25. #74937C2semidirect
26. #74791C2semidirect
27. #74669C2semidirect
28. #74637C2semidirect
29. #74509C2semidirect
30. #74475C2semidirect
31. #74447C2semidirect
190. #2796D3semidirect
1559. C3#36771semidirect

Maximal subgroups

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

subgroupindex
C3×#27962
#783022
#782122
#780672
#780262
#776992
#776952
#776932
#775182
#775172
#775112
#770292
#769802
#764762
#764002
#762872
#761132
#759302
#758882
#758782
#756692
#754252
#751702
#749522
#749372
#747912
#746692
#746372
#745092
#744752
#744472
#367713