Finite Group Databasebeta

← #11226265

Subgroups — #11226265

Order 768.

2224 conjugacy classes of subgroups.

The subgroup lattice has 1700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#2760C211yesmaximal, characteristic, complemented
2#78435C211yesmaximal, characteristic, complemented
3#78423C211yesmaximal, characteristic, complemented
4#78410C211yesmaximal, characteristic, complemented
5#78409C211yesmaximal, characteristic, complemented
6#76876C211yesmaximal, characteristic, complemented
7#76826C211yesmaximal, characteristic, complemented
8#76799C211yesmaximal, characteristic, complemented
9#76792C211yesmaximal, characteristic, complemented
10#76790C211yesmaximal, characteristic, complemented
11#76783C211yesmaximal, characteristic, complemented
12#76738C211yesmaximal, characteristic, complemented
13#76673C211yesmaximal, characteristic
14#74919C211yesmaximal, characteristic, complemented
15#74901C211yesmaximal, characteristic, complemented
16#74890C211yesmaximal, characteristic, complemented
17#74878C211yesmaximal, characteristic, complemented
18#74878C211yesmaximal, characteristic, complemented
19#74807C211yesmaximal, characteristic, complemented
20#74727C211yesmaximal, characteristic, complemented
21#74713C211yesmaximal, characteristic, complemented
22#74708C211yesmaximal, characteristic, complemented
23#74708C211yesmaximal, characteristic, complemented
24#74679C211yesmaximal, characteristic, complemented
25#74667C211yesmaximal, characteristic, complemented
26#74131C211yesmaximal, characteristic, complemented
27#74126C211yesmaximal, characteristic, complemented
28#74069C211yesmaximal, characteristic, complemented
29#74066C211yesmaximal, characteristic, complemented
30#74061C211yesmaximal, characteristic, complemented
31#74055C211yesmaximal, characteristic, complemented
32#45013—31nomaximal, Sylow
33C22×D3×D4C2211yescharacteristic
34C2×#947C2211yescharacteristic
35C2×#946C2211yescharacteristic, complemented
36C2×#944C2211yescharacteristic, complemented
37C2×#940C2211yescharacteristic
38C2×#940C2211yescharacteristic
39C2×#937C2211yescharacteristic
40C2×#937C2211yescharacteristic
41C2×#929C2211yescharacteristic, complemented
42C2×#929C2211yescharacteristic, complemented
43C2×C4×#67C2211yescharacteristic
44C2×C4×#67C2211yescharacteristic
45C2×C4×#67C2211yescharacteristic, complemented
46C2×C4×#67C2211yescharacteristic, complemented
47C22×(C2×D3)⋊C4C2211yescharacteristic
48C22×(C2×D3)⋊C4C2211yescharacteristic
49C2×#885C2211yescharacteristic
50C2×#884C2211yescharacteristic
51C2×#883C2211yescharacteristic, complemented
52C2×#883C2211yescharacteristic, complemented
53C2×#882C2211yescharacteristic
54C2×#882C2211yescharacteristic
55C2×#67⋊C4C2211yescharacteristic
56C2×#67⋊C4C2211yescharacteristic
57C2×#67⋊C4C2211yescharacteristic, complemented
58C2×D3×C22⋊C4C2211yescharacteristic
59C2×D3×C22⋊C4C2211yescharacteristic
60C2×#878C2211yescharacteristic, complemented
61C3×#401C2211yescharacteristic, complemented
62C3×#401C2211yescharacteristic, complemented
63C3×#393C2211yescharacteristic, complemented
64C3×#393C2211yescharacteristic, complemented
65C3×#393C2211yescharacteristic, complemented
66C3×#392C2211yescharacteristic
67C3×#386C2211yescharacteristic
68C3×#386C2211yescharacteristic
69C3×#386C2211yescharacteristic, complemented
70C3×#386C2211yescharacteristic, complemented
71C3×#386C2211yescharacteristic, complemented
72C3×#386C2211yescharacteristic, complemented
73C3×#381C2211yescharacteristic, complemented
74C3×#381C2211yescharacteristic, complemented
75C3×#381C2211yescharacteristic, complemented
76#5231C2211yescharacteristic, complemented
77#5223C2211yescharacteristic
78#5222C2211yescharacteristic, complemented
79#5222C2211yescharacteristic, complemented
80#5220C2211yescharacteristic
81#5220C2211yescharacteristic
82#5220C2211yescharacteristic, complemented
83#5220C2211yescharacteristic, complemented
84#5213C2211yescharacteristic
85#5213C2211yescharacteristic, complemented
86#5212C2211yescharacteristic, complemented
87C4×#217C2211yescharacteristic, complemented
88#4961C2211yescharacteristic
89#4961C2211yescharacteristic, complemented
90#4961C2211yescharacteristic, complemented
91#4960C2211yescharacteristic
92#4959C2211yescharacteristic
93#4959C2211yescharacteristic, complemented
94#4959C2211yescharacteristic, complemented
95#4958C2211yescharacteristic, complemented
96#4957C2211yescharacteristic
97#4957C2211yescharacteristic
98#4957C2211yescharacteristic
99#4957C2211yescharacteristic
100#4957C2211yescharacteristic
101#4957C2211yescharacteristic
102#4957C2211yescharacteristic, complemented
103#4957C2211yescharacteristic, complemented
104#4957C2211yescharacteristic, complemented
105#4957C2211yescharacteristic, complemented
106#4957C2211yescharacteristic, complemented
107#4956C2211yescharacteristic, complemented
108#4956C2211yescharacteristic, complemented
109#4955C2211yescharacteristic
110#4955C2211yescharacteristic
111#4955C2211yescharacteristic
112#4955C2211yescharacteristic
113#4952C2211yescharacteristic, complemented
114#4948C2211yescharacteristic, complemented
115#4947C2211yescharacteristic, complemented
116#4946C2211yescharacteristic, complemented
117#4945C2211yescharacteristic, complemented
118#4945C2211yescharacteristic, complemented
119#4945C2211yescharacteristic, complemented
120#4944C2211yescharacteristic, complemented
121#4944C2211yescharacteristic, complemented
122#4942C2211yescharacteristic, complemented
123#4942C2211yescharacteristic, complemented
124#4676C2211yescharacteristic
125#4676C2211yescharacteristic, complemented
126#4675C2211yescharacteristic
127#4675C2211yescharacteristic
128#4675C2211yescharacteristic
129#4675C2211yescharacteristic
130#4674C2211yescharacteristic
131#4674C2211yescharacteristic, complemented
132#4673C2211yescharacteristic, complemented
133#4673C2211yescharacteristic, complemented
134#4673C2211yescharacteristic, complemented
135#4672C2211yescharacteristic
136#4672C2211yescharacteristic
137#4672C2211yescharacteristic, complemented
138#4672C2211yescharacteristic, complemented
139#4671C2211yescharacteristic
140#4670C2211yescharacteristic
141#4670C2211yescharacteristic, complemented
142#4670C2211yescharacteristic, complemented
143#4669C2211yescharacteristic
144#4669C2211yescharacteristic, complemented
145#4669C2211yescharacteristic, complemented
146#4669C2211yescharacteristic, complemented
147#4668C2211yescharacteristic, complemented
148#4667C2211yescharacteristic
149#4667C2211yescharacteristic
150#4667C2211yescharacteristic, complemented
151#4667C2211yescharacteristic, complemented
152#4667C2211yescharacteristic, complemented
153#4666C2211yescharacteristic
154#4666C2211yescharacteristic
155#4666C2211yescharacteristic
156#4666C2211yescharacteristic, complemented
157#4665C2211yescharacteristic
158#4665C2211yescharacteristic
159#4665C2211yescharacteristic
160#4665C2211yescharacteristic
161#4665C2211yescharacteristic
162#4665C2211yescharacteristic, complemented
163#4665C2211yescharacteristic, complemented
164#4665C2211yescharacteristic, complemented
165#4665C2211yescharacteristic, complemented
166#4665C2211yescharacteristic, complemented
167#4665C2211yescharacteristic, complemented
168#4664C2211yescharacteristic, complemented
169#4664C2211yescharacteristic, complemented
170#4664C2211yescharacteristic, complemented
171C3⋊#401C2211yescharacteristic, complemented
172#4658C2211yescharacteristic, complemented
173#4658C2211yescharacteristic, complemented
174#4658C2211yescharacteristic, complemented
175#4655C2211yescharacteristic, complemented
176#4653C2211yescharacteristic, complemented
177#4650C2211yescharacteristic, complemented
178#4650C2211yescharacteristic, complemented
179#4649C2211yescharacteristic, complemented
180#4649C2211yescharacteristic, complemented
181#4649C2211yescharacteristic, complemented
182#4649C2211yescharacteristic, complemented
183#4649C2211yescharacteristic, complemented
184#4648C2211yescharacteristic, complemented
185#4647C2211yescharacteristic, complemented
186#4647C2211yescharacteristic, complemented
187#4647C2211yescharacteristic, complemented
188#2778—31no—
189#2778—31no—
190#2760—31no—
191#2760D311yescharacteristic, complemented
192#2696—31no—
193#2696—31no—
194#2684—31no—
195#2684—31no—
196#2563—31no—
197#2534—31no—
198#2534—31no—
199#2494—31no—
200#2491—31no—
201#2472—31no—
202#2472—31no—
203#2457—31no—
204#2457—31no—
205#2452—31no—
206#2445—31no—
207#2445—31no—
208#2433—31no—
209#2420—31no—
210#2412—31no—
211#2412—31no—
212#2401—31no—
213#2366—31no—
214#2357—31no—
215D4×C22⋊C4—31no—
216D4×C22⋊C4—31no—
217#2328—31no—
218#2319—31no—
219C24×D3C2311yescharacteristic
220C24×D3C2311yescharacteristic
221C22×C3×Q8C2311yescharacteristic
222C22×C3×D4C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C23×Dic3C2311yescharacteristic
237C23×Dic3C2311yescharacteristic
238C2×D3×D4—24no—
239C2×D3×D4—24no—
240C2×D3×D4—42no—
241C22×D12C2311yescharacteristic
242C22×D12C2311yescharacteristic
243C22×D12C2311yescharacteristic
244C22×D12C2311yescharacteristic
245C22×C4×D3C2311yescharacteristic
246C22×C4×D3C2311yescharacteristic
247C22×C4×D3C2311yescharacteristic
248C22×C4×D3C2311yescharacteristic
249C22×C4×D3C2311yescharacteristic
250C22×C4×D3C2311yescharacteristic
251C22×Dic6C2311yescharacteristic
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×C22⋊C4C2311yescharacteristic
263C2×C3×C22⋊C4C2311yescharacteristic
264C2×#217C2311yescharacteristic
265C2×#217C2311yescharacteristic
266C2×#217C2311yescharacteristic
267C2×#217C2311yescharacteristic
268C2×#217C2311yescharacteristic
269C2×#217C2311yescharacteristic
270C2×#217C2311yescharacteristic
271C2×#217C2311yescharacteristic
272C2×#217C2311yescharacteristic
273C2×#217C2311yescharacteristic
274C2×#217C2311yescharacteristic
275C2×#217C2311yescharacteristic
276#947—42no—
277#946—42no—
278#944—42no—
279#940—24no—
280#940—24no—
281#937—42no—
282#937—42no—
283#929—42no—
284#929—42no—
285C4×#67—24no—
286C4×#67—24no—
287C4×#67—42no—
288C4×#67—42no—
289C2×(C2×D3)⋊C4—42no—
290C2×(C2×D3)⋊C4—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×(C2×D3)⋊C4C2311yescharacteristic
324C2×(C2×D3)⋊C4C2311yescharacteristic
325C2×C4⋊Dic3C2311yescharacteristic
326C2×C4⋊Dic3C2311yescharacteristic
327C2×C4⋊Dic3C2311yescharacteristic
328C2×Dic3⋊C4C2311yescharacteristic
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×C4×Dic3C2311yescharacteristic
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
354#885—42no—
355#884—42no—
356#883—42no—
357#883—42no—
358#882—42no—
359#882—42no—
360#67⋊C4—42no—
361#67⋊C4—42no—
362#67⋊C4—42no—
363D3×C22⋊C4—42no—
364D3×C22⋊C4—42no—
365#878—42no—
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
395C3⋊#95C2311yescharacteristic
396C3⋊#95C2311yescharacteristic
397C3⋊#95C2311yescharacteristic
398C3⋊#95C2311yescharacteristic
399C3⋊#95C2311yescharacteristic
400C3⋊#95C2311yescharacteristic
401C3⋊#95C2311yescharacteristic
402C3⋊#95C2311yescharacteristic
403C3⋊#95C2311yescharacteristic
404C23×D4—31no—
405C2×C4⋊Q8—31no—
406C2×#127—31no—
407C2×#127—31no—
408C2×#124—31no—
409C2×#124—31no—
410C2×#123—31no—
411C2×#123—31no—
412C2×#123—31no—
413C2×#123—31no—
414C2×C22⋊Q8—31no—
415C2×C22⋊Q8—31no—
416C2×#121—31no—
417C2×#120—31no—
418C2×#120—31no—
419C2×#120—31no—
420C2×#120—31no—
421C2×C4×D4—31no—
422C2×C4×D4—31no—
423C2×C4×D4—31no—
424C2×C4×D4—31no—
425C2×C4×D4—31no—
426C2×C4×D4—31no—
427C2×C4×D4—31no—
428C22×C22⋊C4—31no—
429C22×C22⋊C4—31no—
430C22×C22⋊C4—31no—
431C22×C22⋊C4—31no—
432#401—31no—
433#401C2×D311yescharacteristic, complemented
434#401C2×D311yescharacteristic, complemented
435#400—31no—
436#400—31no—
437#400—31no—
438#397—31no—
439#397—31no—
440#397—31no—
441#397—31no—
442#397—31no—
443#397—31no—
444#397—31no—
445#396—31no—
446#396—31no—
447#396—31no—
448#394—31no—
449#394—31no—
450#394—31no—
451#394—31no—
452#394—31no—
453#394—31no—
454#394—31no—
455#394—31no—
456#394—31no—
457#394—31no—
458#394—31no—
459#394—31no—
460#393—31no—
461#393—31no—
462#393—31no—
463#393—31no—
464#393—31no—
465#393C2×D311yescharacteristic, complemented
466#393C2×D311yescharacteristic, complemented
467#393C2×D311yescharacteristic, complemented
468#392—31no—
469#392—31no—
470#392—31no—
471#392C2×D311yescharacteristic
472#390—31no—
473#390—31no—
474#390—31no—
475#390—31no—
476#390—31no—
477#390—31no—
478#390—31no—
479#390—31no—
480#390—31no—
481#390—31no—
482#390—31no—
483#389—31no—
484#389—31no—
485#389—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#388—31no—
495#388—31no—
496#388—31no—
497#388—31no—
498#387—31no—
499#387—31no—
500#386—31no—
501#386—31no—
502#386—31no—
503#386—31no—
504#386—31no—
505#386—31no—
506#386—31no—
507#386—31no—
508#386—31no—
509#386—31no—
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#386C2×D311yescharacteristic
521#386C2×D311yescharacteristic
522#386C2×D311yescharacteristic, complemented
523#386C2×D311yescharacteristic, complemented
524#386C2×D311yescharacteristic, complemented
525#386C2×D311yescharacteristic, complemented
526#385—31no—
527#385—31no—
528#382—31no—
529#382—31no—
530#381—31no—
531#381—31no—
532#381—31no—
533#381C2×D311yescharacteristic, complemented
534#381C2×D311yescharacteristic, complemented
535#381C2×D311yescharacteristic, complemented
536#380—31no—
537#380—31no—
538#380—31no—
539#380—31no—
540#380—31no—
541#380—31no—
542#380—31no—
543#380—31no—
544#379—31no—
545#379—31no—
546#379—31no—
547#379—31no—
548C4×C4⋊C4—31no—
549C4×C4⋊C4—31no—
550C4×C4⋊C4—31no—
551C4×C4⋊C4—31no—
552C4×C4⋊C4—31no—
553C4×C22⋊C4—31no—
554C4×C22⋊C4—31no—
555C4×C22⋊C4—31no—
556C4×C22⋊C4—31no—
557C4×C22⋊C4—31no—
558#376—31no—
559C24×C3C2411yescharacteristic
560C24×C3C2411yescharacteristic
561C24×C3C2411yescharacteristic
562C23×D3—22no—
563C23×D3—22no—
564C23×D3—22no—
565C23×D3—22no—
566C23×D3—22no—
567C23×D3—22no—
568C23×D3—41no—
569C23×D3—41no—
570C23×D3—41no—
571C23×D3—41no—
572C23×D3—41no—
573C23×D3—41no—
574C23×D3—41no—
575C23×D3—41no—
576C23×D3C2411yescharacteristic
577C23×D3C2411yescharacteristic
578C23×D3C2411yescharacteristic
579C23×D3C2411yescharacteristic
580C2×C3×Q8—41no—
581C2×C3×Q8—41no—
582C2×C3×Q8—41no—
583C2×C3×D4—22no—
584C2×C3×D4—22no—
585C2×C3×D4—22no—
586C2×C3×D4—22no—
587C2×C3×D4—41no—
588C2×C3×D4—41no—
589C2×C3×D4—41no—
590C2×C3×D4—41no—
591C2×C3×D4—41no—
592C22×C3×C4—22no—
593C22×C3×C4—22no—
594C22×C3×C4—41no—
595C22×C3×C4—41no—
596C22×C3×C4—41no—
597C22×C3×C4—41no—
598C22×C3×C4—41no—
599C22×C3×C4—41no—
600C22×C3×C4—41no—
601C22×C3×C4C2411yescharacteristic
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
613C2×#67—22no—
614C2×#67—22no—
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—22no—
626C2×#67—22no—
627C2×#67—41no—
628C2×#67—41no—
629C2×#67—41no—
630C2×#67—41no—
631C2×#67—41no—
632C2×#67—41no—
633C2×#67—41no—
634C2×#67—41no—
635C2×#67#4114yes—
636C2×#67#4114yes—
637C22×Dic3—22no—
638C22×Dic3—41no—
639C22×Dic3—41no—
640C22×Dic3—41no—
641C22×Dic3—41no—
642C22×Dic3—41no—
643C22×Dic3C2411yescharacteristic
644C22×Dic3C2411yescharacteristic
645C22×Dic3C2411yescharacteristic
646C22×Dic3C2411yescharacteristic
647C22×Dic3C2411yescharacteristic
648C22×Dic3C2411yescharacteristic
649C22×Dic3C2411yescharacteristic
650C22×Dic3C2411yescharacteristic
651C22×Dic3C2411yescharacteristic
652C22×Dic3C2411yescharacteristic
653C22×Dic3C2411yescharacteristic
654C22×Dic3C2411yescharacteristic
655D3×D4—416no—
656C2×D12—22no—
657C2×D12—22no—
658C2×D12—22no—
659C2×D12—22no—
660C2×D12—22no—
661C2×D12—41no—
662C2×D12—41no—
663C2×D12—41no—
664C2×D12—41no—
665C2×D12—41no—
666C2×D12—41no—
667C2×D12—41no—
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—41no—
675C2×C4×D3—41no—
676C2×C4×D3—41no—
677C2×C4×D3—41no—
678C2×C4×D3—41no—
679C2×C4×D3—41no—
680C2×C4×D3—41no—
681C2×C4×D3—41no—
682C2×C4×D3—41no—
683C2×C4×D3—41no—
684C2×C4×D3—41no—
685C2×C4×D3—41no—
686C2×Dic6—41no—
687C2×Dic6—41no—
688C2×Dic6—41no—
689C3×C22⋊C4—41no—
690C3×C22⋊C4—41no—
691C3×C22⋊C4—41no—
692C3×C22⋊C4—41no—
693C3×C22⋊C4—41no—
694C3×C22⋊C4—41no—
695C3×C22⋊C4—41no—
696C3×C22⋊C4—41no—
697C3×C22⋊C4—41no—
698C3×C22⋊C4—41no—
699C3×C22⋊C4—41no—
700C3×C22⋊C4—41no—
701#217—22no—
702#217—22no—
703#217—22no—
704#217—22no—
705#217—22no—
706#217—41no—
707#217—41no—
708#217—41no—
709#217—41no—
710#217—41no—
711#217—41no—
712#217—41no—
713(C2×D3)⋊C4—22no—
714(C2×D3)⋊C4—22no—
715(C2×D3)⋊C4—22no—
716(C2×D3)⋊C4—22no—
717(C2×D3)⋊C4—22no—
718(C2×D3)⋊C4—22no—
719(C2×D3)⋊C4—22no—
720(C2×D3)⋊C4—22no—
721(C2×D3)⋊C4—22no—
722(C2×D3)⋊C4—22no—
723(C2×D3)⋊C4—22no—
724(C2×D3)⋊C4—22no—
725(C2×D3)⋊C4—41no—
726(C2×D3)⋊C4—41no—
727(C2×D3)⋊C4—41no—
728(C2×D3)⋊C4—41no—
729(C2×D3)⋊C4—41no—
730(C2×D3)⋊C4—41no—
731(C2×D3)⋊C4—41no—
732(C2×D3)⋊C4—41no—
733(C2×D3)⋊C4—41no—
734(C2×D3)⋊C4—41no—
735(C2×D3)⋊C4—41no—
736(C2×D3)⋊C4—41no—
737(C2×D3)⋊C4—41no—
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—
747C4⋊Dic3—22no—
748C4⋊Dic3—41no—
749C4⋊Dic3—41no—
750Dic3⋊C4—22no—
751Dic3⋊C4—22no—
752Dic3⋊C4—22no—
753Dic3⋊C4—22no—
754Dic3⋊C4—22no—
755Dic3⋊C4—22no—
756Dic3⋊C4—22no—
757Dic3⋊C4—22no—
758Dic3⋊C4—22no—
759Dic3⋊C4—22no—
760Dic3⋊C4—41no—
761Dic3⋊C4—41no—
762Dic3⋊C4—41no—
763Dic3⋊C4—41no—
764Dic3⋊C4—41no—
765Dic3⋊C4—41no—
766C4×Dic3—22no—
767C4×Dic3—22no—
768C4×Dic3—22no—
769C4×Dic3—22no—
770C4×Dic3—22no—
771C4×Dic3—22no—
772C4×Dic3—41no—
773C4×Dic3—41no—
774C4×Dic3—41no—
775C4×Dic3—41no—
776C25—31no—
777C25—31no—
778C22×Q8—31no—
779C22×Q8C22×D311yescharacteristic
780C22×D4—31no—
781C22×D4—31no—
782C22×D4—31no—
783C22×D4—31no—
784C22×D4—31no—
785C22×D4—31no—
786C22×D4—31no—
787C22×D4—31no—
788C22×D4—31no—
789C22×D4—31no—
790C22×D4—31no—
791C22×D4—31no—
792C22×D4—64no—
793C22×D4—64no—
794C22×D4—122no—
795C22×D4C22×D311yescharacteristic
796C22×D4C22×D311yescharacteristic
797C22×D4C22×D311yescharacteristic
798C23×C4—31no—
799C23×C4—31no—
800C23×C4—31no—
801C23×C4—31no—
802C23×C4—31no—
803C23×C4—31no—
804C23×C4—31no—
805C23×C4—31no—
806C23×C4C22×D311yescharacteristic
807C23×C4C22×D311yescharacteristic
808C23×C4C22×D311yescharacteristic
809C4⋊Q8—122no—
810#127—64no—
811#127—64no—
812#124—122no—
813#124—122no—
814#123—122no—
815#123—122no—
816#123—122no—
817#123—122no—
818C22⋊Q8—122no—
819C22⋊Q8—122no—
820#121—122no—
821#120—122no—
822#120—122no—
823#120—122no—
824#120—122no—
825C4×D4—64no—
826C4×D4—64no—
827C4×D4—122no—
828C4×D4—122no—
829C4×D4—122no—
830C4×D4—122no—
831C4×D4—122no—
832C2×C4⋊C4—31no—
833C2×C4⋊C4—31no—
834C2×C4⋊C4—31no—
835C2×C4⋊C4—31no—
836C2×C4⋊C4—31no—
837C2×C4⋊C4—31no—
838C2×C4⋊C4—31no—
839C2×C4⋊C4—31no—
840C2×C4⋊C4—31no—
841C2×C4⋊C4—31no—
842C2×C4⋊C4—31no—
843C2×C4⋊C4—31no—
844C2×C4⋊C4—31no—
845C2×C4⋊C4—31no—
846C2×C4⋊C4—31no—
847C2×C4⋊C4—31no—
848C2×C4⋊C4—31no—
849C2×C4⋊C4—31no—
850C2×C4⋊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⋊C4—31no—
858C2×C22⋊C4—31no—
859C2×C22⋊C4—31no—
860C2×C22⋊C4—31no—
861C2×C22⋊C4—31no—
862C2×C22⋊C4—31no—
863C2×C22⋊C4—31no—
864C2×C22⋊C4—31no—
865C2×C22⋊C4—31no—
866C2×C22⋊C4—31no—
867C2×C22⋊C4—31no—
868C2×C22⋊C4—31no—
869C2×C22⋊C4—31no—
870C2×C22⋊C4—31no—
871C2×C22⋊C4—31no—
872C2×C22⋊C4—31no—
873C2×C22⋊C4—31no—
874C2×C22⋊C4—31no—
875C2×C22⋊C4—31no—
876C2×C22⋊C4—31no—
877C2×C22⋊C4—31no—
878C2×C22⋊C4—31no—
879C2×C22⋊C4—31no—
880C2×C22⋊C4—31no—
881C2×C22⋊C4—31no—
882C2×C22⋊C4—31no—
883C2×C22⋊C4—31no—
884C2×C22⋊C4—31no—
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—122no—
898C2×C22⋊C4—122no—
899C2×C22⋊C4—122no—
900C2×C22⋊C4—122no—
901C2×C22⋊C4C22×D311yescharacteristic
902C2×C22⋊C4C22×D311yescharacteristic
903C2×C22⋊C4C22×D311yescharacteristic
904C2×C22⋊C4C22×D311yescharacteristic
905C2×C22⋊C4C22×D311yescharacteristic
906C2×C22⋊C4C22×D311yescharacteristic
907C2×C22⋊C4C22×D311yescharacteristic
908C2×C22⋊C4C22×D311yescharacteristic
909C2×C22⋊C4C22×D311yescharacteristic
910C2×C22⋊C4C22×D311yescharacteristic
911C2×C22⋊C4C22×D311yescharacteristic
912C2×C22⋊C4C22×D311yescharacteristic
913C2×C42—31no—
914C2×C42—31no—
915C2×C42—31no—
916C2×C42—31no—
917C2×C42—31no—
918C2×C42—31no—
919C2×C42—31no—
920C2×C42—31no—
921C2×C42—31no—
922C2×C42—31no—
923#95—31no—
924#95—31no—
925#95—31no—
926#95—31no—
927#95—31no—
928#95—31no—
929#95—31no—
930#95—31no—
931#95—31no—
932#95—31no—
933#95—31no—
934#95—31no—
935#95—31no—
936#95—31no—
937#95—31no—
938#95—31no—
939#95—31no—
940#95—31no—
941#95—31no—
942#95—31no—
943#95—31no—
944#95—31no—
945#95C22×D311yescharacteristic
946#95C22×D311yescharacteristic
947#95C22×D311yescharacteristic
948#95C22×D311yescharacteristic
949#95C22×D311yescharacteristic
950#95C22×D311yescharacteristic
951#95C22×D311yescharacteristic
952#95C22×D311yescharacteristic
953#95C22×D311yescharacteristic
954#95C22×D311yescharacteristic
955#95C22×D311yescharacteristic
956#95C22×D311yescharacteristic
957#95C22×D311yescharacteristic
958#95C22×D311yescharacteristic
959#95C22×D311yescharacteristic
960#95C22×D311yescharacteristic
961C23×C3—21no—
962C23×C3—21no—
963C23×C3—21no—
964C23×C3—21no—
965C23×C3—21no—
966C23×C3—21no—
967C23×C3—21no—
968C23×C3—21no—
969C23×C3—21no—
970C23×C3—21no—
971C23×C3—21no—
972C23×C3—21no—
973C23×C3—21no—
974C23×C3—21no—
975C23×C3—21no—
976C23×C3—21no—
977C23×C3—21no—
978C23×C3—21no—
979C23×C3—21no—
980C23×C3C2×#4112yes—
981C23×C3C2×#4112yes—
982C23×C3C2511yescharacteristic
983C22×D3—21no—
984C22×D3—21no—
985C22×D3—21no—
986C22×D3—21no—
987C22×D3—21no—
988C22×D3—21no—
989C22×D3—21no—
990C22×D3—21no—
991C22×D3—21no—
992C22×D3—21no—
993C22×D3—21no—
994C22×D3—21no—
995C22×D3—21no—
996C22×D3—21no—
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—44no—
1009C22×D3—44no—
1010C22×D3—44no—
1011C22×D3—44no—
1012C22×D3—44no—
1013C22×D3—44no—
1014C22×D3—82no—
1015C22×D3—82no—
1016C22×D3—82no—
1017C22×D3—82no—
1018C22×D3—82no—
1019C22×D3—82no—
1020C22×D3—82no—
1021C22×D3—82no—
1022C22×D3C2×#4112yes—
1023C22×D3C2×#4112yes—
1024C22×D3H(5,𝔽2)12yes—
1025C3×Q8—82no—
1026C3×D4—44no—
1027C3×D4—82no—
1028C3×D4—82no—
1029C2×C3×C4—21no—
1030C2×C3×C4—21no—
1031C2×C3×C4—21no—
1032C2×C3×C4—21no—
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—82no—
1066C2×C3×C4—82no—
1067C2×C3×C4—82no—
1068#67—28no—
1069#67—28no—
1070#67—44no—
1071#67—44no—
1072#67—44no—
1073#67—82no—
1074#67—82no—
1075#67—82no—
1076C2×Dic3—21no—
1077C2×Dic3—21no—
1078C2×Dic3—21no—
1079C2×Dic3—21no—
1080C2×Dic3—21no—
1081C2×Dic3—21no—
1082C2×Dic3—21no—
1083C2×Dic3—21no—
1084C2×Dic3—21no—
1085C2×Dic3—21no—
1086C2×Dic3—21no—
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—82no—
1108C2×Dic3—82no—
1109C2×Dic3C2×#4112yes—
1110C2×Dic3C2×#4112yes—
1111C2×Dic3H(5,𝔽2)12yes—
1112C2×Dic3H(5,𝔽2)12yes—
1113C2×Dic3H(5,𝔽2)12yes—
1114D12—44no—
1115D12—82no—
1116D12—82no—
1117D12—82no—
1118C4×D3—44no—
1119C4×D3—82no—
1120C4×D3—82no—
1121C4×D3—82no—
1122C4×D3—82no—
1123C4×D3—82no—
1124Dic6—82no—
1125C24—31no—
1126C24—31no—
1127C24—31no—
1128C24—31no—
1129C24—62no—
1130C24—62no—
1131C24—62no—
1132C24—62no—
1133C24—62no—
1134C24—62no—
1135C24—121no—
1136C24—121no—
1137C24—121no—
1138C24—121no—
1139C24—121no—
1140C24—121no—
1141C24—121no—
1142C24—121no—
1143C24C23×D311yescharacteristic
1144C24C23×D311yescharacteristic
1145C24C23×D311yescharacteristic
1146C2×Q8—41no—
1147C2×Q8—41no—
1148C2×Q8—41no—
1149C2×Q8—121no—
1150C2×Q8—121no—
1151C2×Q8—121no—
1152C2×D4—22no—
1153C2×D4—22no—
1154C2×D4—22no—
1155C2×D4—22no—
1156C2×D4—34no—
1157C2×D4—34no—
1158C2×D4—41no—
1159C2×D4—41no—
1160C2×D4—41no—
1161C2×D4—41no—
1162C2×D4—41no—
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—62no—
1176C2×D4—62no—
1177C2×D4—62no—
1178C2×D4—62no—
1179C2×D4—62no—
1180C2×D4—62no—
1181C2×D4—62no—
1182C2×D4—121no—
1183C2×D4—121no—
1184C2×D4—121no—
1185C2×D4—121no—
1186C2×D4—121no—
1187C2×D4—121no—
1188C2×D4—121no—
1189C2×D4—121no—
1190C2×D4—121no—
1191C2×D4—121no—
1192C2×D4—121no—
1193C2×D4—121no—
1194C2×D4—121no—
1195C2×D4—121no—
1196C2×D4—121no—
1197C2×D4—1216no—
1198C22×C4—22no—
1199C22×C4—22no—
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—31no—
1209C22×C4—31no—
1210C22×C4—31no—
1211C22×C4—31no—
1212C22×C4—41no—
1213C22×C4—41no—
1214C22×C4—41no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—62no—
1220C22×C4—62no—
1221C22×C4—62no—
1222C22×C4—62no—
1223C22×C4—62no—
1224C22×C4—62no—
1225C22×C4—62no—
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×C4C23×D311yescharacteristic
1244C22×C4C23×D311yescharacteristic
1245C22×C4C23×D311yescharacteristic
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
1255C4⋊C4—62no—
1256C4⋊C4—62no—
1257C4⋊C4—62no—
1258C4⋊C4—62no—
1259C4⋊C4—62no—
1260C4⋊C4—62no—
1261C4⋊C4—62no—
1262C4⋊C4—62no—
1263C4⋊C4—62no—
1264C4⋊C4—62no—
1265C4⋊C4—62no—
1266C4⋊C4—121no—
1267C4⋊C4—121no—
1268C4⋊C4—121no—
1269C4⋊C4—121no—
1270C4⋊C4—121no—
1271C4⋊C4—121no—
1272C4⋊C4—121no—
1273C4⋊C4—121no—
1274C22⋊C4—41no—
1275C22⋊C4—41no—
1276C22⋊C4—41no—
1277C22⋊C4—41no—
1278C22⋊C4—41no—
1279C22⋊C4—41no—
1280C22⋊C4—41no—
1281C22⋊C4—41no—
1282C22⋊C4—41no—
1283C22⋊C4—41no—
1284C22⋊C4—41no—
1285C22⋊C4—41no—
1286C22⋊C4—62no—
1287C22⋊C4—62no—
1288C22⋊C4—62no—
1289C22⋊C4—62no—
1290C22⋊C4—62no—
1291C22⋊C4—62no—
1292C22⋊C4—62no—
1293C22⋊C4—62no—
1294C22⋊C4—62no—
1295C22⋊C4—62no—
1296C22⋊C4—62no—
1297C22⋊C4—62no—
1298C22⋊C4—62no—
1299C22⋊C4—62no—
1300C22⋊C4—62no—
1301C22⋊C4—62no—
1302C22⋊C4—62no—
1303C22⋊C4—121no—
1304C22⋊C4—121no—
1305C22⋊C4—121no—
1306C22⋊C4—121no—
1307C22⋊C4—121no—
1308C22⋊C4—121no—
1309C22⋊C4—121no—
1310C22⋊C4—121no—
1311C22⋊C4—121no—
1312C22⋊C4—121no—
1313C22⋊C4—121no—
1314C22⋊C4—121no—
1315C22⋊C4—121no—
1316C22⋊C4—121no—
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—
1332C42—62no—
1333C42—62no—
1334C42—62no—
1335C42—62no—
1336C42—62no—
1337C42—62no—
1338C42—121no—
1339C42—121no—
1340C42—121no—
1341C42—121no—
1342C22×C3—22no—
1343C22×C3—22no—
1344C22×C3—22no—
1345C22×C3—22no—
1346C22×C3—22no—
1347C22×C3—22no—
1348C22×C3—41no—
1349C22×C3—41no—
1350C22×C3—41no—
1351C22×C3—41no—
1352C22×C3—41no—
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×C3—41no—
1362C22×C3—41no—
1363C22×C3C22×#4111yescharacteristic
1364C22×C3C22×#4111yescharacteristic
1365C22×C3C2×H(5,𝔽2)11yescharacteristic
1366C22×C3C2×H(5,𝔽2)11yescharacteristic
1367C22×C3C2×H(5,𝔽2)11yescharacteristic
1368C22×C3C2×H(5,𝔽2)11yescharacteristic
1369C22×C3#58511yescharacteristic
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—41no—
1380C2×D3—41no—
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—
1397C2×D3—41no—
1398C2×D3—88no—
1399C2×D3—88no—
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—
1410C3×C4—41no—
1411C3×C4—41no—
1412Dic3—22no—
1413Dic3—22no—
1414Dic3—41no—
1415Dic3—41no—
1416Dic3—41no—
1417Dic3—41no—
1418Dic3—41no—
1419Dic3—41no—
1420Dic3—41no—
1421Dic3—41no—
1422Dic3—41no—
1423Dic3#55114yes—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—32no—
1444C23—32no—
1445C23—32no—
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—61no—
1463C23—61no—
1464C23—61no—
1465C23—61no—
1466C23—61no—
1467C23—61no—
1468C23—61no—
1469C23—61no—
1470C23—61no—
1471C23—124no—
1472C23—124no—
1473C23—124no—
1474C23—124no—
1475C23—124no—
1476C23—124no—
1477C23—242no—
1478C23—242no—
1479C23—242no—
1480C23—242no—
1481C23—242no—
1482C23—242no—
1483C23—242no—
1484C23—242no—
1485C23D3×#4112yes—
1486C23D3×#4112yes—
1487C23C24×D311yescharacteristic
1488Q8—82no—
1489Q8—242no—
1490D4—44no—
1491D4—68no—
1492D4—68no—
1493D4—82no—
1494D4—82no—
1495D4—124no—
1496D4—124no—
1497D4—124no—
1498D4—124no—
1499D4—242no—
1500D4—242no—
1501D4—242no—
1502D4—242no—
1503D4—242no—
1504D4—242no—
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—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—32no—
1542C2×C4—32no—
1543C2×C4—32no—
1544C2×C4—32no—
1545C2×C4—32no—
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—61no—
1562C2×C4—61no—
1563C2×C4—61no—
1564C2×C4—61no—
1565C2×C4—61no—
1566C2×C4—61no—
1567C2×C4—61no—
1568C2×C4—61no—
1569C2×C4—61no—
1570C2×C4—61no—
1571C2×C4—61no—
1572C2×C4—61no—
1573C2×C4—61no—
1574C2×C4—61no—
1575C2×C4—61no—
1576C2×C4—61no—
1577C2×C4—82no—
1578C2×C4—82no—
1579C2×C4—82no—
1580C2×C4—124no—
1581C2×C4—242no—
1582C2×C4—242no—
1583C2×C4—242no—
1584C2×C4—242no—
1585C2×C4—242no—
1586C2×C4—242no—
1587C2×C4—242no—
1588C2×C3—42no—
1589C2×C3—42no—
1590C2×C3—81no—
1591C2×C3C2×#55111yescharacteristic
1592C2×C3#351311yescharacteristic
1593C2×C3#351411yescharacteristic
1594C2×C3#351911yescharacteristic
1595C2×C3#351911yescharacteristic
1596C2×C3#354311yescharacteristic
1597C2×C3#355811yescharacteristic
1598D3—42no—
1599D3—42no—
1600D3—42no—
1601D3—81no—
1602C22—22no—
1603C22—22no—
1604C22—22no—
1605C22—22no—
1606C22—22no—
1607C22—22no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—62no—
1624C22—62no—
1625C22—62no—
1626C22—62no—
1627C22—62no—
1628C22—62no—
1629C22—62no—
1630C22—62no—
1631C22—62no—
1632C22—121no—
1633C22—121no—
1634C22—121no—
1635C22—121no—
1636C22—121no—
1637C22—121no—
1638C22—121no—
1639C22—121no—
1640C22—121no—
1641C22—121no—
1642C22—121no—
1643C22—121no—
1644C22—121no—
1645C22—121no—
1646C22—121no—
1647C22—121no—
1648C22—121no—
1649C22—121no—
1650C22—121no—
1651C22—248no—
1652C22—248no—
1653C22C2×D3×#4111yescharacteristic
1654C22C2×D3×#4111yescharacteristic
1655C22#596411yescharacteristic
1656C22D3×H(5,𝔽2)11yescharacteristic
1657C22D3×H(5,𝔽2)11yescharacteristic
1658C22D3×H(5,𝔽2)11yescharacteristic
1659C22D3×H(5,𝔽2)11yescharacteristic
1660C4—34no—
1661C4—41no—
1662C4—41no—
1663C4—41no—
1664C4—41no—
1665C4—41no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—41no—
1671C4—41no—
1672C4—41no—
1673C4—62no—
1674C4—62no—
1675C4—121no—
1676C4—121no—
1677C4—121no—
1678C4—121no—
1679C4—121no—
1680C4—121no—
1681C4—121no—
1682C4—121no—
1683C4—121no—
1684C3#4501311yescharacteristic, complemented, Sylow
1685C2—42no—
1686C2—42no—
1687C2—81no—
1688C2—122no—
1689C2—122no—
1690C2—122no—
1691C2—241no—
1692C2#8641711yescharacteristic
1693C2#8641711yescharacteristic
1694C2#8642411yescharacteristic
1695C2#8679611yescharacteristic
1696C2#8679711yescharacteristic
1697C2D3×#55111yescharacteristic
1698C2#8708311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2760C2
prime radical#76673C2
hypercenter#2760D3
hypocenterC3#45013
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2760

Complements

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

NH ≅ G/Ntype
1. C3×#2760C2semidirect
2. #78435C2semidirect
3. #78423C2semidirect
4. #78410C2semidirect
5. #78409C2semidirect
6. #76876C2semidirect
7. #76826C2semidirect
8. #76799C2semidirect
9. #76792C2semidirect
10. #76790C2semidirect
11. #76783C2semidirect
12. #76738C2semidirect
14. #74919C2semidirect
15. #74901C2semidirect
16. #74890C2semidirect
17. #74878C2semidirect
18. #74878C2semidirect
19. #74807C2semidirect
20. #74727C2semidirect
21. #74713C2semidirect
22. #74708C2semidirect
23. #74708C2semidirect
24. #74679C2semidirect
25. #74667C2semidirect
26. #74131C2semidirect
27. #74126C2semidirect
28. #74069C2semidirect
29. #74066C2semidirect
30. #74061C2semidirect
31. #74055C2semidirect
35. C2×#946C22semidirect
36. C2×#944C22semidirect
41. C2×#929C22semidirect
42. C2×#929C22semidirect
45. C2×C4×#67C22semidirect
46. C2×C4×#67C22semidirect
51. C2×#883C22semidirect
52. C2×#883C22semidirect
57. C2×#67⋊C4C22semidirect
60. C2×#878C22semidirect
61. C3×#401C22semidirect
62. C3×#401C22semidirect
63. C3×#393C22semidirect
64. C3×#393C22semidirect
65. C3×#393C22semidirect
69. C3×#386C22semidirect
70. C3×#386C22semidirect
71. C3×#386C22semidirect
72. C3×#386C22semidirect
73. C3×#381C22semidirect
74. C3×#381C22semidirect
75. C3×#381C22semidirect
76. #5231C22semidirect
78. #5222C22semidirect
79. #5222C22semidirect
82. #5220C22semidirect
83. #5220C22semidirect
85. #5213C22semidirect
86. #5212C22semidirect
87. C4×#217C22semidirect
89. #4961C22semidirect
90. #4961C22semidirect
93. #4959C22semidirect
94. #4959C22semidirect
95. #4958C22semidirect
102. #4957C22semidirect
103. #4957C22semidirect
104. #4957C22semidirect
105. #4957C22semidirect
106. #4957C22semidirect
107. #4956C22semidirect
108. #4956C22semidirect
113. #4952C22semidirect
114. #4948C22semidirect
115. #4947C22semidirect
116. #4946C22semidirect
117. #4945C22semidirect
118. #4945C22semidirect
119. #4945C22semidirect
120. #4944C22semidirect
121. #4944C22semidirect
122. #4942C22semidirect
123. #4942C22semidirect
125. #4676C22semidirect
131. #4674C22semidirect
132. #4673C22semidirect
133. #4673C22semidirect
134. #4673C22semidirect
137. #4672C22semidirect
138. #4672C22semidirect
141. #4670C22semidirect
142. #4670C22semidirect
144. #4669C22semidirect
145. #4669C22semidirect
146. #4669C22semidirect
147. #4668C22semidirect
150. #4667C22semidirect
151. #4667C22semidirect
152. #4667C22semidirect
156. #4666C22semidirect
162. #4665C22semidirect
163. #4665C22semidirect
164. #4665C22semidirect
165. #4665C22semidirect
166. #4665C22semidirect
167. #4665C22semidirect
168. #4664C22semidirect
169. #4664C22semidirect
170. #4664C22semidirect
171. C3⋊#401C22semidirect
172. #4658C22semidirect
173. #4658C22semidirect
174. #4658C22semidirect
175. #4655C22semidirect
176. #4653C22semidirect
177. #4650C22semidirect
178. #4650C22semidirect
179. #4649C22semidirect
180. #4649C22semidirect
181. #4649C22semidirect
182. #4649C22semidirect
183. #4649C22semidirect
184. #4648C22semidirect
185. #4647C22semidirect
186. #4647C22semidirect
187. #4647C22semidirect
191. #2760D3semidirect
433. #401C2×D3semidirect
434. #401C2×D3semidirect
465. #393C2×D3semidirect
466. #393C2×D3semidirect
467. #393C2×D3semidirect
522. #386C2×D3semidirect
523. #386C2×D3semidirect
524. #386C2×D3semidirect
525. #386C2×D3semidirect
533. #381C2×D3semidirect
534. #381C2×D3semidirect
535. #381C2×D3semidirect
1684. C3#45013semidirect

Maximal subgroups

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

subgroupindex
C3×#27602
#784352
#784232
#784102
#784092
#768762
#768262
#767992
#767922
#767902
#767832
#767382
#766732
#749192
#749012
#748902
#748782
#748072
#747272
#747132
#747082
#746792
#746672
#741312
#741262
#740692
#740662
#740612
#740552
#450133