Finite Group Databasebeta

← #11069826

Subgroups — #11069826

Order 768.

2438 conjugacy classes of subgroups.

The subgroup lattice has 1736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5562C211yesmaximal, characteristic, complemented
2C2×#5560C211yesmaximal, characteristic, complemented
3C3×C4×#121C211yesmaximal, characteristic, complemented
4#82707C211yesmaximal, characteristic, complemented
5#82650C211yesmaximal, characteristic, complemented
6#82420C211yesmaximal, characteristic, complemented
7#82420C211yesmaximal, characteristic, complemented
8#82410C211yesmaximal, characteristic, complemented
9#82407C211yesmaximal, characteristic, complemented
10#82080C211yesmaximal, characteristic, complemented
11C4×#930C211yesmaximal, characteristic, complemented
12#76465C211yesmaximal, characteristic, complemented
13#76462C211yesmaximal, characteristic, complemented
14#76265C211yesmaximal, characteristic, complemented
15#76124C211yesmaximal, characteristic, complemented
16#75847C211yesmaximal, characteristic, complemented
17#75846C211yesmaximal, characteristic, complemented
18#75598C211yesmaximal, characteristic, complemented
19#75595C211yesmaximal, characteristic, complemented
20#74927C211yesmaximal, characteristic, complemented
21#74920C211yesmaximal, characteristic, complemented
22#74915C211yesmaximal, characteristic, complemented
23#74911C211yesmaximal, characteristic, complemented
24#74022C211yesmaximal, characteristic, complemented
25#73895C211yesmaximal, characteristic, complemented
26#73785C211yesmaximal, characteristic, complemented
27#73782C211yesmaximal, characteristic, complemented
28#73603C211yesmaximal, characteristic, complemented
29#73601C211yesmaximal, characteristic, complemented
30#73579C211yesmaximal, characteristic, complemented
31#73574C211yesmaximal, characteristic, complemented
32#39392—31nomaximal, Sylow
33C2×C3×#121C2211yescharacteristic
34C2×C3×C4×D4C2211yescharacteristic
35C2×C3×C4×D4C2211yescharacteristic
36C2×C3×C4×D4C2211yescharacteristic, complemented
37C22×C3×C42C2211yescharacteristic, complemented
38C2×#940C2211yescharacteristic, complemented
39C2×#939C2211yescharacteristic
40C2×#939C2211yescharacteristic
41C2×#938C2211yescharacteristic
42C2×#937C2211yescharacteristic
43C2×#937C2211yescharacteristic
44C2×#930C2211yescharacteristic
45C2×#930C2211yescharacteristic
46C2×#930C2211yescharacteristic
47C2×#929C2211yescharacteristic
48C2×#929C2211yescharacteristic, complemented
49C2×#929C2211yescharacteristic, complemented
50C2×C4×#67C2211yescharacteristic
51C2×C4×#67C2211yescharacteristic
52C2×C4×#67C2211yescharacteristic, complemented
53C22×(C2×D3)⋊C4C2211yescharacteristic
54#5562—28no—
55#5560—28no—
56C2×#898C2211yescharacteristic
57C2×#896C2211yescharacteristic, complemented
58C2×#895C2211yescharacteristic
59C2×#894C2211yescharacteristic
60C2×#894C2211yescharacteristic
61C2×#890C2211yescharacteristic, complemented
62C2×#885C2211yescharacteristic
63C2×#884C2211yescharacteristic
64C2×#884C2211yescharacteristic
65C2×#884C2211yescharacteristic
66C2×#884C2211yescharacteristic
67C2×#883C2211yescharacteristic, complemented
68C2×#883C2211yescharacteristic, complemented
69C2×#883C2211yescharacteristic, complemented
70C2×#882C2211yescharacteristic
71C2×#882C2211yescharacteristic
72C2×D3×C22⋊C4C2211yescharacteristic
73C2×#878C2211yescharacteristic
74C2×#876C2211yescharacteristic
75C2×#875C2211yescharacteristic
76C2×C4×D12C2211yescharacteristic
77C2×C4×D12C2211yescharacteristic, complemented
78C2×#872C2211yescharacteristic
79C3×#390C2211yescharacteristic
80C3×#389C2211yescharacteristic, complemented
81C3×#388C2211yescharacteristic
82C3×#388C2211yescharacteristic, complemented
83C3×#386C2211yescharacteristic
84C3×#386C2211yescharacteristic, complemented
85C3×#380C2211yescharacteristic, complemented
86C3×C4×C4⋊C4C2211yescharacteristic, complemented
87C3×C4×C22⋊C4C2211yescharacteristic
88C3×C4×C22⋊C4C2211yescharacteristic, complemented
89#5223C2211yescharacteristic
90#5223C2211yescharacteristic
91#5223C2211yescharacteristic
92#5222C2211yescharacteristic
93#5222C2211yescharacteristic
94#5222C2211yescharacteristic, complemented
95#5213C2211yescharacteristic
96#5213C2211yescharacteristic
97#5213C2211yescharacteristic
98#5213C2211yescharacteristic
99#5213C2211yescharacteristic, complemented
100#5213C2211yescharacteristic, complemented
101#5212C2211yescharacteristic, complemented
102#5212C2211yescharacteristic, complemented
103#5210C2211yescharacteristic
104#5210C2211yescharacteristic, complemented
105#4994C2211yescharacteristic
106#4994C2211yescharacteristic
107#4994C2211yescharacteristic
108#4994C2211yescharacteristic, complemented
109#4992C2211yescharacteristic
110#4991C2211yescharacteristic
111#4991C2211yescharacteristic, complemented
112#4989C2211yescharacteristic
113#4989C2211yescharacteristic, complemented
114#4983C2211yescharacteristic, complemented
115#4982C2211yescharacteristic, complemented
116#4982C2211yescharacteristic, complemented
117#4976C2211yescharacteristic, complemented
118#4976C2211yescharacteristic, complemented
119#4961C2211yescharacteristic
120#4961C2211yescharacteristic
121#4961C2211yescharacteristic
122#4961C2211yescharacteristic
123#4960C2211yescharacteristic
124#4960C2211yescharacteristic
125#4959C2211yescharacteristic
126#4959C2211yescharacteristic
127#4959C2211yescharacteristic, complemented
128#4959C2211yescharacteristic, complemented
129#4957C2211yescharacteristic
130#4957C2211yescharacteristic, complemented
131#4956C2211yescharacteristic
132#4956C2211yescharacteristic
133#4956C2211yescharacteristic
134#4956C2211yescharacteristic, complemented
135#4955C2211yescharacteristic
136#4952C2211yescharacteristic, complemented
137#4952C2211yescharacteristic, complemented
138#4951C2211yescharacteristic
139#4951C2211yescharacteristic, complemented
140#4950C2211yescharacteristic
141#4949C2211yescharacteristic
142#4948C2211yescharacteristic
143#4948C2211yescharacteristic, complemented
144#4947C2211yescharacteristic, complemented
145#4946C2211yescharacteristic
146Dic3×C22⋊C4C2211yescharacteristic
147#4940C2211yescharacteristic
148#4940C2211yescharacteristic
149#4940C2211yescharacteristic
150#4940C2211yescharacteristic
151#4940C2211yescharacteristic, complemented
152#4940C2211yescharacteristic, complemented
153#4940C2211yescharacteristic, complemented
154#4940C2211yescharacteristic, complemented
155#4939C2211yescharacteristic
156#4939C2211yescharacteristic
157#4939C2211yescharacteristic
158C4×(C2×D3)⋊C4C2211yescharacteristic
159C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
160C4×C4⋊Dic3C2211yescharacteristic, complemented
161#4933C2211yescharacteristic, complemented
162#4933C2211yescharacteristic, complemented
163#4928C2211yescharacteristic, complemented
164#4928C2211yescharacteristic, complemented
165#4928C2211yescharacteristic, complemented
166#4675C2211yescharacteristic
167#4675C2211yescharacteristic, complemented
168#4674C2211yescharacteristic
169#4672C2211yescharacteristic
170#4671C2211yescharacteristic
171#4669C2211yescharacteristic
172#4669C2211yescharacteristic
173#4668C2211yescharacteristic
174#4668C2211yescharacteristic, complemented
175#4667C2211yescharacteristic
176#4666C2211yescharacteristic, complemented
177#4665C2211yescharacteristic
178#4665C2211yescharacteristic
179#4665C2211yescharacteristic
180#4665C2211yescharacteristic, complemented
181#4664C2211yescharacteristic
182D3×#95C2211yescharacteristic, complemented
183#4660C2211yescharacteristic, complemented
184#4657C2211yescharacteristic, complemented
185#4656C2211yescharacteristic, complemented
186#4655C2211yescharacteristic, complemented
187#4654C2211yescharacteristic, complemented
188#4647C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#540—31no—
191C2×#538—31no—
192#2854—31no—
193#2725—31no—
194#2708—31no—
195#2701—31no—
196#2686—31no—
197#2681—31no—
198#2678—31no—
199#2673—31no—
200#2668—31no—
201#2630—31no—
202#2630—31no—
203#2559—31no—
204#2557—31no—
205#2556—31no—
206#2554—31no—
207#2478—31no—
208#2461—31no—
209#2455—31no—
210#2428—31no—
211#2427—31no—
212#2425—31no—
213#2425—31no—
214#2424—31no—
215#2424—31no—
216#2424—31no—
217#2364—31no—
218#2342—31no—
219C4×#121—31no—
220C4×#121D311yescharacteristic, complemented
221C24×D3C2311yescharacteristic
222C22×C3×D4C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C23×C3×C4C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C23×Dic3C2311yescharacteristic
241C22×D12C2311yescharacteristic
242C22×D12C2311yescharacteristic
243C22×D12C2311yescharacteristic
244C22×D12C2311yescharacteristic
245C22×D12C2311yescharacteristic
246C22×C4×D3C2311yescharacteristic
247C22×C4×D3C2311yescharacteristic
248C22×C4×D3C2311yescharacteristic
249C22×C4×D3C2311yescharacteristic
250C22×C4×D3C2311yescharacteristic
251C22×C4×D3C2311yescharacteristic
252C22×Dic6C2311yescharacteristic
253C3×#121—24no—
254C3×C4×D4—24no—
255C3×C4×D4—24no—
256C3×C4×D4—42no—
257C2×C3×C4⋊C4C2311yescharacteristic
258C2×C3×C4⋊C4C2311yescharacteristic
259C2×C3×C4⋊C4C2311yescharacteristic
260C2×C3×C4⋊C4C2311yescharacteristic
261C2×C3×C4⋊C4C2311yescharacteristic
262C2×C3×C22⋊C4C2311yescharacteristic
263C2×C3×C22⋊C4C2311yescharacteristic
264C2×C3×C22⋊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×C42—42no—
273C2×C3×C42C2311yescharacteristic
274C2×C3×C42C2311yescharacteristic
275C2×C3×C42C2311yescharacteristic
276C2×C3×C42C2311yescharacteristic
277C2×C3×C42C2311yescharacteristic
278C2×C3×C42C2311yescharacteristic
279C2×#217C2311yescharacteristic
280C2×#217C2311yescharacteristic
281C2×#217C2311yescharacteristic
282C2×#217C2311yescharacteristic
283C2×#217C2311yescharacteristic
284C2×#217C2311yescharacteristic
285C2×#217C2311yescharacteristic
286C2×#217C2311yescharacteristic
287C2×#217C2311yescharacteristic
288C2×#217C2311yescharacteristic
289C2×#217C2311yescharacteristic
290C2×#217C2311yescharacteristic
291#940—24no—
292#939—24no—
293#939—42no—
294#938—24no—
295#937—24no—
296#937—42no—
297#930—24no—
298#930—42no—
299#930D418yescomplemented
300#929—24no—
301#929—24no—
302#929—24no—
303C4×#67—24no—
304C4×#67—42no—
305C4×#67—42no—
306C2×(C2×D3)⋊C4—24no—
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×(C2×D3)⋊C4C2311yescharacteristic
326C2×(C2×D3)⋊C4C2311yescharacteristic
327C2×(C2×D3)⋊C4C2311yescharacteristic
328C2×(C2×D3)⋊C4C2311yescharacteristic
329C2×(C2×D3)⋊C4C2311yescharacteristic
330C2×(C2×D3)⋊C4C2311yescharacteristic
331C2×(C2×D3)⋊C4C2311yescharacteristic
332C2×(C2×D3)⋊C4C2311yescharacteristic
333C2×(C2×D3)⋊C4C2311yescharacteristic
334C2×(C2×D3)⋊C4C2311yescharacteristic
335C2×(C2×D3)⋊C4C2311yescharacteristic
336C2×(C2×D3)⋊C4C2311yescharacteristic
337C2×(C2×D3)⋊C4C2311yescharacteristic
338C2×(C2×D3)⋊C4C2311yescharacteristic
339C2×C4⋊Dic3C2311yescharacteristic
340C2×C4⋊Dic3C2311yescharacteristic
341C2×C4⋊Dic3C2311yescharacteristic
342C2×C4⋊Dic3C2311yescharacteristic
343C2×C4⋊Dic3C2311yescharacteristic
344C2×C4⋊Dic3C2311yescharacteristic
345C2×C4⋊Dic3C2311yescharacteristic
346C2×C4⋊Dic3C2311yescharacteristic
347C2×Dic3⋊C4C2311yescharacteristic
348C2×Dic3⋊C4C2311yescharacteristic
349C2×Dic3⋊C4C2311yescharacteristic
350C2×Dic3⋊C4C2311yescharacteristic
351C2×Dic3⋊C4C2311yescharacteristic
352C2×Dic3⋊C4C2311yescharacteristic
353C2×Dic3⋊C4C2311yescharacteristic
354C2×Dic3⋊C4C2311yescharacteristic
355C2×Dic3⋊C4C2311yescharacteristic
356C2×Dic3⋊C4C2311yescharacteristic
357C2×Dic3⋊C4C2311yescharacteristic
358C2×Dic3⋊C4C2311yescharacteristic
359C2×Dic3⋊C4C2311yescharacteristic
360C2×Dic3⋊C4C2311yescharacteristic
361C2×Dic3⋊C4C2311yescharacteristic
362C2×Dic3⋊C4C2311yescharacteristic
363C2×C4×Dic3C2311yescharacteristic
364C2×C4×Dic3C2311yescharacteristic
365C2×C4×Dic3C2311yescharacteristic
366C2×C4×Dic3C2311yescharacteristic
367#898—24no—
368#896—42no—
369#895—24no—
370#894—24no—
371#894—42no—
372#890—24no—
373#885—24no—
374#884—24no—
375#884—24no—
376#884—24no—
377#884—24no—
378#883—24no—
379#883—24no—
380#883—42no—
381#882—24no—
382#882—42no—
383D3×C22⋊C4—24no—
384#878—24no—
385#876—24no—
386#875—24no—
387C4×D12—24no—
388C4×D12—42no—
389#872—24no—
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
417C3⋊#95C2311yescharacteristic
418C3⋊#95C2311yescharacteristic
419C3⋊#95C2311yescharacteristic
420#540—68no—
421#538—68no—
422C2×#127—31no—
423C2×#126—31no—
424C2×#126—31no—
425C2×#125—31no—
426C2×#124—31no—
427C2×#124—31no—
428C2×#123—31no—
429C2×#123—31no—
430C2×#123—31no—
431C2×#123—31no—
432C2×#123—31no—
433C2×#123—31no—
434C2×#123—31no—
435C2×#123—31no—
436C2×C22⋊Q8—31no—
437C2×C22⋊Q8—31no—
438C2×#121—31no—
439C2×#121—31no—
440C2×#121—31no—
441C2×#121—31no—
442C2×#121—31no—
443C2×#121—31no—
444C2×#121—31no—
445C2×#121—31no—
446C2×#121—31no—
447C2×#121—31no—
448C2×#121—31no—
449C2×#121C2×D311yescharacteristic
450C2×#120—31no—
451C2×#120—31no—
452C2×#120—31no—
453C2×#120—31no—
454C2×C4×D4—31no—
455C2×C4×D4—31no—
456C2×C4×D4—31no—
457C2×C4×D4—31no—
458C2×C4×D4—31no—
459C2×C4×D4C2×D311yescharacteristic
460C2×C4×D4C2×D311yescharacteristic
461C2×C4×D4C2×D311yescharacteristic, complemented
462C2×#117—31no—
463C22×C22⋊C4—31no—
464C22×C22⋊C4—31no—
465C22×C42C2×D311yescharacteristic, complemented
466#400—31no—
467#399—31no—
468#398—31no—
469#398—31no—
470#398—31no—
471#398—31no—
472#397—31no—
473#397—31no—
474#397—31no—
475#397—31no—
476#397—31no—
477#397—31no—
478#396—31no—
479#396—31no—
480#396—31no—
481#396—31no—
482#396—31no—
483#396—31no—
484#395—31no—
485#394—31no—
486#394—31no—
487#394—31no—
488#394—31no—
489#394—31no—
490#394—31no—
491#394—31no—
492#394—31no—
493#394—31no—
494#394—31no—
495#394—31no—
496#394—31no—
497#394—31no—
498#394—31no—
499#393—31no—
500#392—31no—
501#392—31no—
502#392—31no—
503#392—31no—
504#392—31no—
505#392—31no—
506#391—31no—
507#390—31no—
508#390—31no—
509#390—31no—
510#390—31no—
511#390—31no—
512#390C2×D311yescharacteristic
513#389—31no—
514#389—31no—
515#389—31no—
516#389—31no—
517#389—31no—
518#389—31no—
519#389C2×D311yescharacteristic, complemented
520#388—31no—
521#388—31no—
522#388—31no—
523#388—31no—
524#388—31no—
525#388—31no—
526#388—31no—
527#388—31no—
528#388—31no—
529#388—31no—
530#388—31no—
531#388—31no—
532#388C2×D311yescharacteristic
533#388C2×D311yescharacteristic, complemented
534#387—31no—
535#387—31no—
536#387—31no—
537#387—31no—
538#386—31no—
539#386—31no—
540#386—31no—
541#386—31no—
542#386—31no—
543#386—31no—
544#386—31no—
545#386—31no—
546#386—31no—
547#386—31no—
548#386—31no—
549#386—31no—
550#386—31no—
551#386—31no—
552#386C2×D311yescharacteristic
553#386C2×D311yescharacteristic, complemented
554#385—31no—
555#385—31no—
556#385—31no—
557#385—31no—
558#385—31no—
559#385—31no—
560#385—31no—
561#385—31no—
562#381—31no—
563#380—31no—
564#380—31no—
565#380—31no—
566#380C2×D311yescharacteristic, complemented
567#379—31no—
568C4×C4⋊C4—31no—
569C4×C4⋊C4C2×D311yescharacteristic, complemented
570C4×C22⋊C4—31no—
571C4×C22⋊C4—31no—
572C4×C22⋊C4—31no—
573C4×C22⋊C4—31no—
574C4×C22⋊C4C2×D311yescharacteristic
575C4×C22⋊C4C2×D311yescharacteristic, complemented
576C2×#95—31no—
577C24×C3C2411yescharacteristic
578C24×C3C2411yescharacteristic
579C24×C3C2411yescharacteristic
580C23×D3—22no—
581C23×D3—22no—
582C23×D3—41no—
583C23×D3—41no—
584C23×D3—41no—
585C23×D3—41no—
586C23×D3—41no—
587C23×D3C2411yescharacteristic
588C23×D3C2411yescharacteristic
589C23×D3C2411yescharacteristic
590C23×D3C2411yescharacteristic
591C2×C3×D4—22no—
592C2×C3×D4—22no—
593C2×C3×D4—22no—
594C2×C3×D4—22no—
595C2×C3×D4—22no—
596C2×C3×D4—22no—
597C2×C3×D4—41no—
598C2×C3×D4—41no—
599C2×C3×D4—41no—
600C22×C3×C4—22no—
601C22×C3×C4—22no—
602C22×C3×C4—22no—
603C22×C3×C4—22no—
604C22×C3×C4—22no—
605C22×C3×C4—41no—
606C22×C3×C4—41no—
607C22×C3×C4—41no—
608C22×C3×C4—41no—
609C22×C3×C4—41no—
610C22×C3×C4—41no—
611C22×C3×C4—41no—
612C22×C3×C4—41no—
613C22×C3×C4—41no—
614C22×C3×C4C2×D414yes—
615C22×C3×C4C2411yescharacteristic
616C22×C3×C4C2411yescharacteristic
617C22×C3×C4C2411yescharacteristic
618C22×C3×C4C2411yescharacteristic
619C22×C3×C4C2411yescharacteristic
620C22×C3×C4C2411yescharacteristic
621C22×C3×C4C2411yescharacteristic
622C22×C3×C4C2411yescharacteristic
623C22×C3×C4C2411yescharacteristic
624C22×C3×C4C2411yescharacteristic
625C22×C3×C4C2411yescharacteristic
626C22×C3×C4C2411yescharacteristic
627C2×#67—22no—
628C2×#67—22no—
629C2×#67—22no—
630C2×#67—22no—
631C2×#67—22no—
632C2×#67—22no—
633C2×#67—22no—
634C2×#67—22no—
635C2×#67—41no—
636C2×#67—41no—
637C2×#67—41no—
638C2×#67—41no—
639C2×#67—41no—
640C2×#67—41no—
641C2×#67—41no—
642C2×#67—41no—
643C2×#67—41no—
644C2×#67—41no—
645C2×#67—41no—
646C2×#67—41no—
647C2×#67—41no—
648C2×#67—41no—
649C2×#67—41no—
650C2×#67—41no—
651C2×#67—41no—
652C2×#67—41no—
653C2×#67—41no—
654C2×#67—41no—
655C2×#67C2×D414yes—
656C2×#67C2×D414yes—
657C22×Dic3—22no—
658C22×Dic3—41no—
659C22×Dic3—41no—
660C22×Dic3C2411yescharacteristic
661C22×Dic3C2411yescharacteristic
662C22×Dic3C2411yescharacteristic
663C22×Dic3C2411yescharacteristic
664C22×Dic3C2411yescharacteristic
665C22×Dic3C2411yescharacteristic
666C22×Dic3C2411yescharacteristic
667C22×Dic3C2411yescharacteristic
668C22×Dic3C2411yescharacteristic
669C22×Dic3C2411yescharacteristic
670C22×Dic3C2411yescharacteristic
671C22×Dic3C2411yescharacteristic
672C2×D12—22no—
673C2×D12—22no—
674C2×D12—22no—
675C2×D12—22no—
676C2×D12—22no—
677C2×D12—41no—
678C2×D12—41no—
679C2×D12—41no—
680C2×D12—41no—
681C2×D12—41no—
682C2×D12—41no—
683C2×D12—41no—
684C2×D12—41no—
685C2×D12—41no—
686C2×D12C2×D414yes—
687C2×C4×D3—22no—
688C2×C4×D3—22no—
689C2×C4×D3—22no—
690C2×C4×D3—22no—
691C2×C4×D3—22no—
692C2×C4×D3—22no—
693C2×C4×D3—22no—
694C2×C4×D3—41no—
695C2×C4×D3—41no—
696C2×C4×D3—41no—
697C2×C4×D3—41no—
698C2×C4×D3—41no—
699C2×C4×D3—41no—
700C2×C4×D3—41no—
701C2×C4×D3—41no—
702C2×C4×D3—41no—
703C2×C4×D3—41no—
704C2×C4×D3—41no—
705C2×Dic6—22no—
706C2×Dic6—41no—
707C2×Dic6—41no—
708C3×C4⋊C4—22no—
709C3×C4⋊C4—22no—
710C3×C4⋊C4—22no—
711C3×C4⋊C4—22no—
712C3×C4⋊C4—41no—
713C3×C22⋊C4—22no—
714C3×C22⋊C4—22no—
715C3×C22⋊C4—22no—
716C3×C22⋊C4—22no—
717C3×C22⋊C4—22no—
718C3×C22⋊C4—22no—
719C3×C22⋊C4—22no—
720C3×C22⋊C4—41no—
721C3×C22⋊C4—41no—
722C3×C22⋊C4#4114yes—
723C3×C42—22no—
724C3×C42—22no—
725C3×C42—22no—
726C3×C42—22no—
727C3×C42—41no—
728C3×C42—41no—
729#217—22no—
730#217—22no—
731#217—22no—
732#217—22no—
733#217—22no—
734#217—41no—
735#217—41no—
736#217—41no—
737#217—41no—
738#217—41no—
739#217—41no—
740#217—41no—
741(C2×D3)⋊C4—22no—
742(C2×D3)⋊C4—22no—
743(C2×D3)⋊C4—22no—
744(C2×D3)⋊C4—22no—
745(C2×D3)⋊C4—22no—
746(C2×D3)⋊C4—22no—
747(C2×D3)⋊C4—22no—
748(C2×D3)⋊C4—22no—
749(C2×D3)⋊C4—22no—
750(C2×D3)⋊C4—22no—
751(C2×D3)⋊C4—22no—
752(C2×D3)⋊C4—22no—
753(C2×D3)⋊C4—22no—
754(C2×D3)⋊C4—22no—
755(C2×D3)⋊C4—22no—
756(C2×D3)⋊C4—22no—
757(C2×D3)⋊C4—22no—
758(C2×D3)⋊C4—22no—
759(C2×D3)⋊C4—22no—
760(C2×D3)⋊C4—22no—
761(C2×D3)⋊C4—22no—
762(C2×D3)⋊C4—41no—
763(C2×D3)⋊C4—41no—
764(C2×D3)⋊C4—41no—
765(C2×D3)⋊C4—41no—
766(C2×D3)⋊C4—41no—
767(C2×D3)⋊C4—41no—
768(C2×D3)⋊C4—41no—
769(C2×D3)⋊C4—41no—
770(C2×D3)⋊C4—41no—
771(C2×D3)⋊C4C2×D414yes—
772(C2×D3)⋊C4C2×D414yes—
773C4⋊Dic3—22no—
774C4⋊Dic3—22no—
775C4⋊Dic3—22no—
776C4⋊Dic3—41no—
777C4⋊Dic3—41no—
778C4⋊Dic3—41no—
779C4⋊Dic3—41no—
780C4⋊Dic3C2×D414yes—
781Dic3⋊C4—22no—
782Dic3⋊C4—22no—
783Dic3⋊C4—22no—
784Dic3⋊C4—22no—
785Dic3⋊C4—22no—
786Dic3⋊C4—22no—
787Dic3⋊C4—22no—
788Dic3⋊C4—22no—
789Dic3⋊C4—22no—
790Dic3⋊C4—22no—
791Dic3⋊C4—22no—
792Dic3⋊C4—41no—
793Dic3⋊C4—41no—
794Dic3⋊C4—41no—
795Dic3⋊C4—41no—
796Dic3⋊C4—41no—
797C4×Dic3—22no—
798C4×Dic3—22no—
799C4×Dic3—41no—
800C4×Dic3—41no—
801C25—31no—
802C22×Q8—31no—
803C22×D4—31no—
804C22×D4—31no—
805C22×D4—31no—
806C22×D4—31no—
807C22×D4—31no—
808C22×D4—31no—
809C22×D4—31no—
810C22×D4—31no—
811C22×D4—31no—
812C22×D4—31no—
813C22×D4—31no—
814C22×D4—31no—
815C22×D4—31no—
816C22×D4—31no—
817C22×D4—31no—
818C22×D4C22×D311yescharacteristic
819C22×D4C22×D311yescharacteristic
820C22×D4C22×D311yescharacteristic
821C23×C4—31no—
822C23×C4—31no—
823C23×C4—31no—
824C23×C4—31no—
825C23×C4—31no—
826C23×C4—31no—
827C23×C4—31no—
828C23×C4C22×D311yescharacteristic
829C23×C4C22×D311yescharacteristic
830C23×C4C22×D311yescharacteristic
831C23×C4C22×D311yescharacteristic
832C23×C4C22×D311yescharacteristic
833#127—64no—
834#126—64no—
835#126—64no—
836#125—64no—
837#124—64no—
838#124—64no—
839#123—64no—
840#123—64no—
841#123—64no—
842#123—64no—
843#123—64no—
844#123—64no—
845#123—122no—
846#123—122no—
847C22⋊Q8—64no—
848C22⋊Q8—122no—
849#121—24no—
850#121—38no—
851#121—64no—
852#121—64no—
853#121—64no—
854#121—64no—
855#121—64no—
856#121—64no—
857#121—64no—
858#121—64no—
859#121—122no—
860#121—122no—
861#120—64no—
862#120—64no—
863#120—122no—
864#120—122no—
865C4×D4—24no—
866C4×D4—24no—
867C4×D4—42no—
868C4×D4—64no—
869C4×D4—64no—
870C4×D4—122no—
871C4×D4—122no—
872C4×D4—122no—
873#117—64no—
874C2×C4⋊C4—31no—
875C2×C4⋊C4—31no—
876C2×C4⋊C4—31no—
877C2×C4⋊C4—31no—
878C2×C4⋊C4—31no—
879C2×C4⋊C4—31no—
880C2×C4⋊C4—31no—
881C2×C4⋊C4—31no—
882C2×C4⋊C4—31no—
883C2×C4⋊C4—31no—
884C2×C4⋊C4—31no—
885C2×C4⋊C4—31no—
886C2×C4⋊C4—31no—
887C2×C4⋊C4—31no—
888C2×C4⋊C4—31no—
889C2×C4⋊C4—31no—
890C2×C4⋊C4—31no—
891C2×C4⋊C4—31no—
892C2×C4⋊C4—31no—
893C2×C4⋊C4—31no—
894C2×C4⋊C4—31no—
895C2×C4⋊C4—31no—
896C2×C4⋊C4—31no—
897C2×C4⋊C4—31no—
898C2×C4⋊C4C22×D311yescharacteristic
899C2×C4⋊C4C22×D311yescharacteristic
900C2×C4⋊C4C22×D311yescharacteristic
901C2×C4⋊C4C22×D311yescharacteristic
902C2×C4⋊C4C22×D311yescharacteristic
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⋊C4—31no—
926C2×C22⋊C4—31no—
927C2×C22⋊C4—31no—
928C2×C22⋊C4—31no—
929C2×C22⋊C4—31no—
930C2×C22⋊C4—31no—
931C2×C22⋊C4—31no—
932C2×C22⋊C4—31no—
933C2×C22⋊C4—31no—
934C2×C22⋊C4—31no—
935C2×C22⋊C4—31no—
936C2×C22⋊C4—31no—
937C2×C22⋊C4—31no—
938C2×C22⋊C4—31no—
939C2×C22⋊C4—31no—
940C2×C22⋊C4—31no—
941C2×C22⋊C4—31no—
942C2×C22⋊C4—31no—
943C2×C22⋊C4—31no—
944C2×C22⋊C4—31no—
945C2×C22⋊C4—31no—
946C2×C22⋊C4—31no—
947C2×C22⋊C4—64no—
948C2×C22⋊C4—64no—
949C2×C22⋊C4C22×D311yescharacteristic
950C2×C22⋊C4C22×D311yescharacteristic
951C2×C22⋊C4C22×D311yescharacteristic
952C2×C22⋊C4C22×D311yescharacteristic
953C2×C22⋊C4C22×D311yescharacteristic
954C2×C22⋊C4C22×D311yescharacteristic
955C2×C22⋊C4C22×D311yescharacteristic
956C2×C22⋊C4C22×D311yescharacteristic
957C2×C22⋊C4C22×D311yescharacteristic
958C2×C22⋊C4C22×D311yescharacteristic
959C2×C42—31no—
960C2×C42—31no—
961C2×C42—31no—
962C2×C42—31no—
963C2×C42—42no—
964C2×C42C22×D311yescharacteristic
965C2×C42C22×D311yescharacteristic
966C2×C42C22×D311yescharacteristic
967C2×C42C22×D311yescharacteristic
968C2×C42C22×D311yescharacteristic
969C2×C42C22×D311yescharacteristic
970#95—31no—
971#95—31no—
972#95—31no—
973#95—31no—
974#95—31no—
975#95—31no—
976#95—31no—
977#95—31no—
978#95—31no—
979#95—31no—
980#95—31no—
981#95—31no—
982#95—31no—
983#95—31no—
984#95—31no—
985#95—31no—
986#95—31no—
987#95—31no—
988#95—31no—
989#95—31no—
990#95—31no—
991#95—31no—
992#95—31no—
993#95—31no—
994#95C22×D311yescharacteristic
995#95C22×D311yescharacteristic
996#95C22×D311yescharacteristic
997#95C22×D311yescharacteristic
998#95C22×D311yescharacteristic
999#95C22×D311yescharacteristic
1000C23×C3—21no—
1001C23×C3—21no—
1002C23×C3—21no—
1003C23×C3—21no—
1004C23×C3—21no—
1005C23×C3—21no—
1006C23×C3—21no—
1007C23×C3—21no—
1008C23×C3—21no—
1009C23×C3—21no—
1010C23×C3—21no—
1011C23×C3—21no—
1012C23×C3—21no—
1013C23×C3—21no—
1014C23×C3—21no—
1015C23×C3—21no—
1016C23×C3—21no—
1017C23×C3—21no—
1018C23×C3—21no—
1019C23×C3C22×D412yes—
1020C23×C3C2×#4112yes—
1021C23×C3C2511yescharacteristic
1022C22×D3—21no—
1023C22×D3—21no—
1024C22×D3—21no—
1025C22×D3—21no—
1026C22×D3—21no—
1027C22×D3—21no—
1028C22×D3—21no—
1029C22×D3—21no—
1030C22×D3—21no—
1031C22×D3—21no—
1032C22×D3—21no—
1033C22×D3—21no—
1034C22×D3—21no—
1035C22×D3—21no—
1036C22×D3—21no—
1037C22×D3—21no—
1038C22×D3—21no—
1039C22×D3—21no—
1040C22×D3—21no—
1041C22×D3—21no—
1042C22×D3—21no—
1043C22×D3—21no—
1044C22×D3—21no—
1045C22×D3—21no—
1046C22×D3—21no—
1047C22×D3—21no—
1048C22×D3—44no—
1049C22×D3—44no—
1050C22×D3—82no—
1051C22×D3—82no—
1052C22×D3—82no—
1053C22×D3—82no—
1054C22×D3—82no—
1055C22×D3C22×D412yes—
1056C22×D3C22×D412yes—
1057C3×D4—44no—
1058C3×D4—44no—
1059C3×D4—44no—
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—21no—
1070C2×C3×C4—21no—
1071C2×C3×C4—21no—
1072C2×C3×C4—21no—
1073C2×C3×C4—21no—
1074C2×C3×C4—21no—
1075C2×C3×C4—21no—
1076C2×C3×C4—21no—
1077C2×C3×C4—21no—
1078C2×C3×C4—21no—
1079C2×C3×C4—21no—
1080C2×C3×C4—21no—
1081C2×C3×C4—21no—
1082C2×C3×C4—21no—
1083C2×C3×C4—21no—
1084C2×C3×C4—21no—
1085C2×C3×C4—21no—
1086C2×C3×C4—21no—
1087C2×C3×C4—21no—
1088C2×C3×C4—21no—
1089C2×C3×C4—21no—
1090C2×C3×C4—44no—
1091C2×C3×C4—44no—
1092C2×C3×C4—44no—
1093C2×C3×C4—82no—
1094C2×C3×C4—82no—
1095C2×C3×C4C22×D412yes—
1096C2×C3×C4C22×D412yes—
1097C2×C3×C4C2×#4112yes—
1098C2×C3×C4C2×#4112yes—
1099C2×C3×C4H(5,𝔽2)12yes—
1100C2×C3×C4H(5,𝔽2)12yes—
1101#67—44no—
1102#67—44no—
1103#67—44no—
1104#67—82no—
1105#67—82no—
1106#67—82no—
1107#67—82no—
1108#67—82no—
1109#67—82no—
1110#67—82no—
1111C2×Dic3—21no—
1112C2×Dic3—21no—
1113C2×Dic3—21no—
1114C2×Dic3—21no—
1115C2×Dic3—21no—
1116C2×Dic3—21no—
1117C2×Dic3—21no—
1118C2×Dic3—21no—
1119C2×Dic3—21no—
1120C2×Dic3—21no—
1121C2×Dic3—21no—
1122C2×Dic3—21no—
1123C2×Dic3—21no—
1124C2×Dic3—21no—
1125C2×Dic3—21no—
1126C2×Dic3—21no—
1127C2×Dic3—21no—
1128C2×Dic3—21no—
1129C2×Dic3—21no—
1130C2×Dic3—21no—
1131C2×Dic3—21no—
1132C2×Dic3—21no—
1133C2×Dic3—21no—
1134C2×Dic3—21no—
1135C2×Dic3—21no—
1136C2×Dic3—21no—
1137C2×Dic3—21no—
1138C2×Dic3—21no—
1139C2×Dic3—21no—
1140C2×Dic3—21no—
1141C2×Dic3—21no—
1142C2×Dic3—21no—
1143C2×Dic3—21no—
1144C2×Dic3—21no—
1145C2×Dic3—82no—
1146C2×Dic3C22×D412yes—
1147C2×Dic3C22×D412yes—
1148D12—44no—
1149D12—44no—
1150D12—82no—
1151D12—82no—
1152D12—82no—
1153C4×D3—44no—
1154C4×D3—82no—
1155C4×D3—82no—
1156C4×D3—82no—
1157C4×D3—82no—
1158C4×D3—82no—
1159Dic6—82no—
1160C24—31no—
1161C24—31no—
1162C24—31no—
1163C24—31no—
1164C24—62no—
1165C24—62no—
1166C24—121no—
1167C24—121no—
1168C24—121no—
1169C24—121no—
1170C24—121no—
1171C24C23×D311yescharacteristic
1172C24C23×D311yescharacteristic
1173C24C23×D311yescharacteristic
1174C2×Q8—62no—
1175C2×Q8—121no—
1176C2×Q8—121no—
1177C2×D4—22no—
1178C2×D4—22no—
1179C2×D4—22no—
1180C2×D4—22no—
1181C2×D4—22no—
1182C2×D4—22no—
1183C2×D4—34no—
1184C2×D4—34no—
1185C2×D4—34no—
1186C2×D4—41no—
1187C2×D4—41no—
1188C2×D4—41no—
1189C2×D4—62no—
1190C2×D4—62no—
1191C2×D4—62no—
1192C2×D4—62no—
1193C2×D4—62no—
1194C2×D4—62no—
1195C2×D4—62no—
1196C2×D4—62no—
1197C2×D4—62no—
1198C2×D4—62no—
1199C2×D4—62no—
1200C2×D4—62no—
1201C2×D4—62no—
1202C2×D4—121no—
1203C2×D4—121no—
1204C2×D4—121no—
1205C2×D4—121no—
1206C2×D4—121no—
1207C2×D4—121no—
1208C2×D4—121no—
1209C2×D4—121no—
1210C2×D4—121no—
1211C2×D4—121no—
1212C2×D4—121no—
1213C2×D4—121no—
1214C2×D4—121no—
1215C2×D4—121no—
1216C2×D4—121no—
1217C2×D4—121no—
1218C2×D4—121no—
1219C2×D4—121no—
1220C2×D4—121no—
1221C2×D4—121no—
1222C2×D4—121no—
1223C2×D4—121no—
1224C2×D4—121no—
1225C2×D4—121no—
1226C2×D4—121no—
1227C2×D4—121no—
1228C2×D4—121no—
1229C2×D4—121no—
1230C2×D4—121no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—31no—
1237C22×C4—31no—
1238C22×C4—31no—
1239C22×C4—31no—
1240C22×C4—31no—
1241C22×C4—31no—
1242C22×C4—31no—
1243C22×C4—31no—
1244C22×C4—31no—
1245C22×C4—31no—
1246C22×C4—31no—
1247C22×C4—31no—
1248C22×C4—41no—
1249C22×C4—41no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—62no—
1258C22×C4—62no—
1259C22×C4—62no—
1260C22×C4—62no—
1261C22×C4—62no—
1262C22×C4—62no—
1263C22×C4—62no—
1264C22×C4—62no—
1265C22×C4—121no—
1266C22×C4—121no—
1267C22×C4—121no—
1268C22×C4—121no—
1269C22×C4—121no—
1270C22×C4—121no—
1271C22×C4—121no—
1272C22×C4—121no—
1273C22×C4—121no—
1274C22×C4—121no—
1275C22×C4—121no—
1276C22×C4—121no—
1277C22×C4—121no—
1278C22×C4D3×D414yes—
1279C22×C4C23×D311yescharacteristic
1280C22×C4C23×D311yescharacteristic
1281C22×C4C23×D311yescharacteristic
1282C22×C4C23×D311yescharacteristic
1283C22×C4C23×D311yescharacteristic
1284C22×C4C23×D311yescharacteristic
1285C22×C4C23×D311yescharacteristic
1286C22×C4C23×D311yescharacteristic
1287C22×C4C23×D311yescharacteristic
1288C22×C4C23×D311yescharacteristic
1289C22×C4C23×D311yescharacteristic
1290C22×C4C23×D311yescharacteristic
1291C4⋊C4—22no—
1292C4⋊C4—22no—
1293C4⋊C4—22no—
1294C4⋊C4—22no—
1295C4⋊C4—34no—
1296C4⋊C4—41no—
1297C4⋊C4—62no—
1298C4⋊C4—62no—
1299C4⋊C4—62no—
1300C4⋊C4—62no—
1301C4⋊C4—62no—
1302C4⋊C4—62no—
1303C4⋊C4—62no—
1304C4⋊C4—62no—
1305C4⋊C4—62no—
1306C4⋊C4—62no—
1307C4⋊C4—62no—
1308C4⋊C4—62no—
1309C4⋊C4—62no—
1310C4⋊C4—62no—
1311C4⋊C4—121no—
1312C4⋊C4—121no—
1313C4⋊C4—121no—
1314C4⋊C4—121no—
1315C4⋊C4—121no—
1316C4⋊C4—121no—
1317C4⋊C4—121no—
1318C4⋊C4—121no—
1319C4⋊C4—121no—
1320C22⋊C4—22no—
1321C22⋊C4—22no—
1322C22⋊C4—22no—
1323C22⋊C4—22no—
1324C22⋊C4—22no—
1325C22⋊C4—22no—
1326C22⋊C4—22no—
1327C22⋊C4—34no—
1328C22⋊C4—34no—
1329C22⋊C4—41no—
1330C22⋊C4—41no—
1331C22⋊C4—62no—
1332C22⋊C4—62no—
1333C22⋊C4—62no—
1334C22⋊C4—62no—
1335C22⋊C4—62no—
1336C22⋊C4—62no—
1337C22⋊C4—62no—
1338C22⋊C4—62no—
1339C22⋊C4—62no—
1340C22⋊C4—62no—
1341C22⋊C4—62no—
1342C22⋊C4—62no—
1343C22⋊C4—62no—
1344C22⋊C4—62no—
1345C22⋊C4—62no—
1346C22⋊C4—62no—
1347C22⋊C4—62no—
1348C22⋊C4—62no—
1349C22⋊C4—62no—
1350C22⋊C4—62no—
1351C22⋊C4—62no—
1352C22⋊C4—62no—
1353C22⋊C4—62no—
1354C22⋊C4—62no—
1355C22⋊C4—62no—
1356C22⋊C4—62no—
1357C22⋊C4—121no—
1358C22⋊C4—121no—
1359C22⋊C4—121no—
1360C22⋊C4—121no—
1361C22⋊C4—121no—
1362C22⋊C4—121no—
1363C22⋊C4—121no—
1364C22⋊C4—121no—
1365C22⋊C4—121no—
1366C22⋊C4—121no—
1367C22⋊C4—121no—
1368C22⋊C4—121no—
1369C22⋊C4—121no—
1370C22⋊C4—121no—
1371C22⋊C4—121no—
1372C22⋊C4—121no—
1373C22⋊C4#23514yes—
1374C42—22no—
1375C42—22no—
1376C42—22no—
1377C42—22no—
1378C42—41no—
1379C42—41no—
1380C42—62no—
1381C42—62no—
1382C42—121no—
1383C42—121no—
1384C22×C3—22no—
1385C22×C3—22no—
1386C22×C3—22no—
1387C22×C3—22no—
1388C22×C3—22no—
1389C22×C3—22no—
1390C22×C3—41no—
1391C22×C3—41no—
1392C22×C3—41no—
1393C22×C3—41no—
1394C22×C3—41no—
1395C22×C3—41no—
1396C22×C3—41no—
1397C22×C3—41no—
1398C22×C3—41no—
1399C22×C3—41no—
1400C22×C3—41no—
1401C22×C3—41no—
1402C22×C3—41no—
1403C22×C3—41no—
1404C22×C3—41no—
1405C22×C3C23×D411yescharacteristic
1406C22×C3C22×#4111yescharacteristic
1407C22×C3C2×H(5,𝔽2)11yescharacteristic
1408C22×C3C2×H(5,𝔽2)11yescharacteristic
1409C22×C3#58511yescharacteristic
1410C22×C3#58511yescharacteristic
1411C22×C3#58511yescharacteristic
1412C2×D3—22no—
1413C2×D3—22no—
1414C2×D3—22no—
1415C2×D3—22no—
1416C2×D3—22no—
1417C2×D3—22no—
1418C2×D3—41no—
1419C2×D3—41no—
1420C2×D3—41no—
1421C2×D3—41no—
1422C2×D3—41no—
1423C2×D3—41no—
1424C2×D3—41no—
1425C2×D3—41no—
1426C2×D3—41no—
1427C2×D3—41no—
1428C2×D3—41no—
1429C2×D3—41no—
1430C2×D3—41no—
1431C2×D3—41no—
1432C2×D3—41no—
1433C2×D3—41no—
1434C2×D3—41no—
1435C2×D3—41no—
1436C2×D3—41no—
1437C2×D3—41no—
1438C2×D3—41no—
1439C2×D3—41no—
1440C2×D3—88no—
1441C3×C4—22no—
1442C3×C4—22no—
1443C3×C4—22no—
1444C3×C4—22no—
1445C3×C4—22no—
1446C3×C4—22no—
1447C3×C4—41no—
1448C3×C4—41no—
1449C3×C4—41no—
1450C3×C4—41no—
1451C3×C4—41no—
1452C3×C4—41no—
1453Dic3—22no—
1454Dic3—22no—
1455Dic3—41no—
1456Dic3—41no—
1457Dic3—41no—
1458Dic3—41no—
1459Dic3—41no—
1460Dic3—41no—
1461Dic3—41no—
1462Dic3—41no—
1463Dic3—41no—
1464Dic3—41no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—32no—
1485C23—32no—
1486C23—61no—
1487C23—61no—
1488C23—61no—
1489C23—61no—
1490C23—61no—
1491C23—61no—
1492C23—61no—
1493C23—61no—
1494C23—61no—
1495C23—61no—
1496C23—61no—
1497C23—61no—
1498C23—61no—
1499C23—61no—
1500C23—61no—
1501C23—61no—
1502C23—61no—
1503C23—61no—
1504C23—61no—
1505C23—61no—
1506C23—61no—
1507C23—61no—
1508C23—61no—
1509C23—61no—
1510C23—61no—
1511C23—61no—
1512C23—124no—
1513C23—124no—
1514C23—242no—
1515C23—242no—
1516C23—242no—
1517C23—242no—
1518C23—242no—
1519C23C2×#23512yes—
1520C23C2×D3×D412yes—
1521C23C24×D311yescharacteristic
1522Q8—242no—
1523D4—44no—
1524D4—44no—
1525D4—44no—
1526D4—124no—
1527D4—124no—
1528D4—124no—
1529D4—124no—
1530D4—124no—
1531D4—242no—
1532D4—242no—
1533D4—242no—
1534D4—242no—
1535D4—242no—
1536D4—242no—
1537D4—242no—
1538D4—242no—
1539D4—242no—
1540D4—242no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—32no—
1572C2×C4—32no—
1573C2×C4—44no—
1574C2×C4—44no—
1575C2×C4—44no—
1576C2×C4—61no—
1577C2×C4—61no—
1578C2×C4—61no—
1579C2×C4—61no—
1580C2×C4—61no—
1581C2×C4—61no—
1582C2×C4—61no—
1583C2×C4—61no—
1584C2×C4—61no—
1585C2×C4—61no—
1586C2×C4—61no—
1587C2×C4—61no—
1588C2×C4—61no—
1589C2×C4—61no—
1590C2×C4—61no—
1591C2×C4—61no—
1592C2×C4—61no—
1593C2×C4—61no—
1594C2×C4—61no—
1595C2×C4—61no—
1596C2×C4—61no—
1597C2×C4—61no—
1598C2×C4—61no—
1599C2×C4—61no—
1600C2×C4—61no—
1601C2×C4—61no—
1602C2×C4—61no—
1603C2×C4—61no—
1604C2×C4—61no—
1605C2×C4—61no—
1606C2×C4—61no—
1607C2×C4—61no—
1608C2×C4—61no—
1609C2×C4—61no—
1610C2×C4—82no—
1611C2×C4—82no—
1612C2×C4—124no—
1613C2×C4—242no—
1614C2×C4—242no—
1615C2×C4—242no—
1616C2×C4—242no—
1617C2×C4—242no—
1618C2×C4—242no—
1619C2×C4C2×#23512yes—
1620C2×C4C2×#23512yes—
1621C2×C4C2×D3×D412yes—
1622C2×C4C2×D3×D412yes—
1623C2×C4#100412yes—
1624C2×C4#100912yes—
1625C2×C3—42no—
1626C2×C3—42no—
1627C2×C3—81no—
1628C2×C3#345511yescharacteristic
1629C2×C3D4×#4111yescharacteristic
1630C2×C3#349611yescharacteristic
1631C2×C3#349611yescharacteristic
1632C2×C3#351911yescharacteristic
1633C2×C3#353311yescharacteristic
1634C2×C3#356211yescharacteristic
1635D3—42no—
1636D3—42no—
1637D3—81no—
1638D3—81no—
1639C22—22no—
1640C22—22no—
1641C22—22no—
1642C22—22no—
1643C22—22no—
1644C22—22no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—62no—
1661C22—62no—
1662C22—62no—
1663C22—62no—
1664C22—62no—
1665C22—62no—
1666C22—121no—
1667C22—121no—
1668C22—121no—
1669C22—121no—
1670C22—121no—
1671C22—121no—
1672C22—121no—
1673C22—121no—
1674C22—121no—
1675C22—121no—
1676C22—121no—
1677C22—121no—
1678C22—121no—
1679C22—121no—
1680C22—121no—
1681C22—121no—
1682C22—121no—
1683C22—121no—
1684C22—121no—
1685C22—121no—
1686C22—121no—
1687C22—121no—
1688C22—248no—
1689C22C22×#23511yescharacteristic
1690C22C22×D3×D411yescharacteristic
1691C22C2×#100411yescharacteristic
1692C22C2×#100911yescharacteristic
1693C22#596411yescharacteristic
1694C22#596411yescharacteristic
1695C22#596411yescharacteristic
1696C4—22no—
1697C4—22no—
1698C4—22no—
1699C4—22no—
1700C4—22no—
1701C4—22no—
1702C4—41no—
1703C4—41no—
1704C4—41no—
1705C4—41no—
1706C4—41no—
1707C4—41no—
1708C4—62no—
1709C4—62no—
1710C4—121no—
1711C4—121no—
1712C4—121no—
1713C4—121no—
1714C4—121no—
1715C4—121no—
1716C4—121no—
1717C4—121no—
1718C4—121no—
1719C4—121no—
1720C3#3939211yescharacteristic, complemented, Sylow
1721C2—42no—
1722C2—42no—
1723C2—81no—
1724C2—122no—
1725C2—122no—
1726C2—241no—
1727C2—241no—
1728C2D4×#23511yescharacteristic
1729C2#8579011yescharacteristic
1730C2#8583711yescharacteristic
1731C2#8595011yescharacteristic
1732C2#8604911yescharacteristic
1733C2#8618011yescharacteristic
1734C2#8624111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×C4×#121C2
hypercenterC4×#121D3
hypocenterC3#39392
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ C4×#121

Complements

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

NH ≅ G/Ntype
1. C2×#5562C2semidirect
2. C2×#5560C2semidirect
3. C3×C4×#121C2semidirect
4. #82707C2semidirect
5. #82650C2semidirect
6. #82420C2semidirect
7. #82420C2semidirect
8. #82410C2semidirect
9. #82407C2semidirect
10. #82080C2semidirect
11. C4×#930C2semidirect
12. #76465C2semidirect
13. #76462C2semidirect
14. #76265C2semidirect
15. #76124C2semidirect
16. #75847C2semidirect
17. #75846C2semidirect
18. #75598C2semidirect
19. #75595C2semidirect
20. #74927C2semidirect
21. #74920C2semidirect
22. #74915C2semidirect
23. #74911C2semidirect
24. #74022C2semidirect
25. #73895C2semidirect
26. #73785C2semidirect
27. #73782C2semidirect
28. #73603C2semidirect
29. #73601C2semidirect
30. #73579C2semidirect
31. #73574C2semidirect
36. C2×C3×C4×D4C22semidirect
37. C22×C3×C42C22semidirect
38. C2×#940C22semidirect
48. C2×#929C22semidirect
49. C2×#929C22semidirect
52. C2×C4×#67C22semidirect
57. C2×#896C22semidirect
61. C2×#890C22semidirect
67. C2×#883C22semidirect
68. C2×#883C22semidirect
69. C2×#883C22semidirect
77. C2×C4×D12C22semidirect
80. C3×#389C22semidirect
82. C3×#388C22semidirect
84. C3×#386C22semidirect
85. C3×#380C22semidirect
86. C3×C4×C4⋊C4C22semidirect
88. C3×C4×C22⋊C4C22semidirect
94. #5222C22semidirect
99. #5213C22semidirect
100. #5213C22semidirect
101. #5212C22semidirect
102. #5212C22semidirect
104. #5210C22semidirect
108. #4994C22semidirect
111. #4991C22semidirect
113. #4989C22semidirect
114. #4983C22semidirect
115. #4982C22semidirect
116. #4982C22semidirect
117. #4976C22semidirect
118. #4976C22semidirect
127. #4959C22semidirect
128. #4959C22semidirect
130. #4957C22semidirect
134. #4956C22semidirect
136. #4952C22semidirect
137. #4952C22semidirect
139. #4951C22semidirect
143. #4948C22semidirect
144. #4947C22semidirect
151. #4940C22semidirect
152. #4940C22semidirect
153. #4940C22semidirect
154. #4940C22semidirect
159. C4×(C2×D3)⋊C4C22semidirect
160. C4×C4⋊Dic3C22semidirect
161. #4933C22semidirect
162. #4933C22semidirect
163. #4928C22semidirect
164. #4928C22semidirect
165. #4928C22semidirect
167. #4675C22semidirect
174. #4668C22semidirect
176. #4666C22semidirect
180. #4665C22semidirect
182. D3×#95C22semidirect
183. #4660C22semidirect
184. #4657C22semidirect
185. #4656C22semidirect
186. #4655C22semidirect
187. #4654C22semidirect
188. #4647C22semidirect
189. #4646C22semidirect
220. C4×#121D3semidirect
299. #930D4semidirect
461. C2×C4×D4C2×D3semidirect
465. C22×C42C2×D3semidirect
519. #389C2×D3semidirect
533. #388C2×D3semidirect
553. #386C2×D3semidirect
566. #380C2×D3semidirect
569. C4×C4⋊C4C2×D3semidirect
575. C4×C22⋊C4C2×D3semidirect
1720. C3#39392semidirect

Maximal subgroups

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

subgroupindex
C2×#55622
C2×#55602
C3×C4×#1212
#827072
#826502
#824202
#824102
#824072
#820802
C4×#9302
#764652
#764622
#762652
#761242
#758472
#758462
#755982
#755952
#749272
#749202
#749152
#749112
#740222
#738952
#737852
#737822
#736032
#736012
#735792
#735742
#393923