Finite Group Databasebeta

← #11069743

Subgroups — #11069743

Order 768.

2296 conjugacy classes of subgroups.

The subgroup lattice has 1654 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5669C211yesmaximal, characteristic, complemented
2C2×#5613C211yesmaximal, characteristic, complemented
3C3×#2427C211yesmaximal, characteristic, complemented
4#83005C211yesmaximal, characteristic, complemented
5#82818C211yesmaximal, characteristic, complemented
6#82790C211yesmaximal, characteristic, complemented
7#82689C211yesmaximal, characteristic, complemented
8#82407C211yesmaximal, characteristic, complemented
9C4×#935C211yesmaximal, characteristic, complemented
10#77669C211yesmaximal, characteristic, complemented
11#77584C211yesmaximal, characteristic, complemented
12#77578C211yesmaximal, characteristic, complemented
13#77546C211yesmaximal, characteristic, complemented
14#77129C211yesmaximal, characteristic, complemented
15#77014C211yesmaximal, characteristic, complemented
16#76979C211yesmaximal, characteristic, complemented
17#76927C211yesmaximal, characteristic, complemented
18#76540C211yesmaximal, characteristic, complemented
19#76517C211yesmaximal, characteristic, complemented
20#76121C211yesmaximal, characteristic, complemented
21#76021C211yesmaximal, characteristic, complemented
22#74869C211yesmaximal, characteristic, complemented
23#74759C211yesmaximal, characteristic, complemented
24#74756C211yesmaximal, characteristic, complemented
25#74727C211yesmaximal, characteristic, complemented
26#74009C211yesmaximal, characteristic, complemented
27#73929C211yesmaximal, characteristic, complemented
28#73929C211yesmaximal, characteristic, complemented
29#73865C211yesmaximal, characteristic, complemented
30#73535C211yesmaximal, characteristic, complemented
31#73472C211yesmaximal, characteristic, complemented
32#39389—31nomaximal, Sylow
33C2×C3×#124C2211yescharacteristic
34C2×C3×C22⋊Q8C2211yescharacteristic, complemented
35C2×C3×#121C2211yescharacteristic
36C2×C3×C4×D4C2211yescharacteristic
37C2×#946C2211yescharacteristic, complemented
38C2×#944C2211yescharacteristic, complemented
39C2×#939C2211yescharacteristic
40C2×#939C2211yescharacteristic
41C2×#938C2211yescharacteristic
42C2×#937C2211yescharacteristic
43C2×#937C2211yescharacteristic
44C2×#936C2211yescharacteristic
45C2×#935C2211yescharacteristic
46C2×#930C2211yescharacteristic
47C2×#929C2211yescharacteristic
48C2×C4×#67C2211yescharacteristic
49C22×(C2×D3)⋊C4C2211yescharacteristic
50C22×C4×Dic3C2211yescharacteristic, complemented
51#5669—28no—
52#5613—28no—
53C2×#898C2211yescharacteristic
54C2×#896C2211yescharacteristic
55C2×#893C2211yescharacteristic
56C2×#885C2211yescharacteristic
57C2×#885C2211yescharacteristic
58C2×#885C2211yescharacteristic
59C2×#885C2211yescharacteristic
60C2×#885C2211yescharacteristic, complemented
61C2×#883C2211yescharacteristic
62C2×#882C2211yescharacteristic
63C2×#67⋊C4C2211yescharacteristic
64C2×#67⋊C4C2211yescharacteristic, complemented
65C2×D3×C22⋊C4C2211yescharacteristic
66C2×#879C2211yescharacteristic
67C2×#879C2211yescharacteristic, complemented
68C2×#878C2211yescharacteristic
69C2×#878C2211yescharacteristic, complemented
70C2×#877C2211yescharacteristic
71C2×#876C2211yescharacteristic, complemented
72C2×C4×Dic6C2211yescharacteristic, complemented
73C3×#397C2211yescharacteristic
74C3×#397C2211yescharacteristic, complemented
75C3×#394C2211yescharacteristic
76C3×#394C2211yescharacteristic, complemented
77C3×#391C2211yescharacteristic, complemented
78C3×#389C2211yescharacteristic, complemented
79C3×#386C2211yescharacteristic
80C3×#386C2211yescharacteristic, complemented
81C3×#380C2211yescharacteristic
82C3×#380C2211yescharacteristic, complemented
83C3×C4×C22⋊C4C2211yescharacteristic, complemented
84#5231C2211yescharacteristic
85#5231C2211yescharacteristic
86#5223C2211yescharacteristic
87#5223C2211yescharacteristic, complemented
88#5220C2211yescharacteristic
89#5220C2211yescharacteristic
90#5220C2211yescharacteristic, complemented
91#5213C2211yescharacteristic
92#5213C2211yescharacteristic
93#5213C2211yescharacteristic, complemented
94#5210C2211yescharacteristic, complemented
95C4×#217C2211yescharacteristic
96C4×#217C2211yescharacteristic
97C4×#217C2211yescharacteristic, complemented
98#4994C2211yescharacteristic
99#4993C2211yescharacteristic
100#4993C2211yescharacteristic, complemented
101#4992C2211yescharacteristic, complemented
102#4991C2211yescharacteristic
103#4990C2211yescharacteristic
104#4990C2211yescharacteristic
105#4990C2211yescharacteristic
106#4990C2211yescharacteristic, complemented
107#4989C2211yescharacteristic
108#4989C2211yescharacteristic
109#4988C2211yescharacteristic
110#4985C2211yescharacteristic, complemented
111#4980C2211yescharacteristic, complemented
112#4980C2211yescharacteristic, complemented
113#4979C2211yescharacteristic, complemented
114#4979C2211yescharacteristic, complemented
115#4978C2211yescharacteristic, complemented
116#4978C2211yescharacteristic, complemented
117Dic3×C4⋊C4C2211yescharacteristic, complemented
118#4972C2211yescharacteristic, complemented
119#4961C2211yescharacteristic
120#4961C2211yescharacteristic
121#4960C2211yescharacteristic
122#4960C2211yescharacteristic
123#4960C2211yescharacteristic
124#4959C2211yescharacteristic
125#4959C2211yescharacteristic
126#4959C2211yescharacteristic
127#4959C2211yescharacteristic
128#4958C2211yescharacteristic
129#4958C2211yescharacteristic
130#4958C2211yescharacteristic, complemented
131#4957C2211yescharacteristic
132#4957C2211yescharacteristic
133#4957C2211yescharacteristic, complemented
134#4956C2211yescharacteristic, complemented
135#4955C2211yescharacteristic
136#4955C2211yescharacteristic
137#4952C2211yescharacteristic
138#4952C2211yescharacteristic
139#4952C2211yescharacteristic, complemented
140#4952C2211yescharacteristic, complemented
141#4951C2211yescharacteristic, complemented
142#4951C2211yescharacteristic, complemented
143#4950C2211yescharacteristic
144#4948C2211yescharacteristic, complemented
145#4946C2211yescharacteristic, complemented
146#4945C2211yescharacteristic, complemented
147#4944C2211yescharacteristic
148#4944C2211yescharacteristic
149#4944C2211yescharacteristic, complemented
150#4943C2211yescharacteristic
151#4943C2211yescharacteristic, complemented
152#4940C2211yescharacteristic
153#4940C2211yescharacteristic
154#4940C2211yescharacteristic
155#4939C2211yescharacteristic
156C4×Dic3⋊C4C2211yescharacteristic, complemented
157C4×Dic3⋊C4C2211yescharacteristic, complemented
158#4675C2211yescharacteristic
159#4673C2211yescharacteristic
160#4673C2211yescharacteristic
161#4673C2211yescharacteristic, complemented
162#4672C2211yescharacteristic
163#4672C2211yescharacteristic
164#4670C2211yescharacteristic
165#4670C2211yescharacteristic
166#4670C2211yescharacteristic, complemented
167#4669C2211yescharacteristic
168#4669C2211yescharacteristic
169#4669C2211yescharacteristic
170#4669C2211yescharacteristic, complemented
171#4668C2211yescharacteristic
172#4667C2211yescharacteristic
173#4666C2211yescharacteristic
174#4666C2211yescharacteristic
175#4666C2211yescharacteristic, complemented
176#4665C2211yescharacteristic
177#4665C2211yescharacteristic
178#4661C2211yescharacteristic, complemented
179#4658C2211yescharacteristic, complemented
180#4657C2211yescharacteristic, complemented
181#4656C2211yescharacteristic, complemented
182#4655C2211yescharacteristic, complemented
183#4654C2211yescharacteristic, complemented
184#4650C2211yescharacteristic, complemented
185#4649C2211yescharacteristic, complemented
186#4646C2211yescharacteristic, complemented
187#4646C2211yescharacteristic, complemented
188#4646C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#542—31no—
191C2×#538—31no—
192#2850—31no—
193#2723—31no—
194#2712—31no—
195#2698—31no—
196#2691—31no—
197#2688—31no—
198#2684—31no—
199#2674—31no—
200#2670—31no—
201#2638—31no—
202#2635—31no—
203#2560—31no—
204#2557—31no—
205#2555—31no—
206#2554—31no—
207#2521—31no—
208#2521—31no—
209#2492—31no—
210#2474—31no—
211#2472—31no—
212#2469—31no—
213#2463—31no—
214#2427D311yescharacteristic, complemented
215#2424—31no—
216#2418—31no—
217#2367—31no—
218#2342—31no—
219C4×#123—31no—
220C4×#121—31no—
221C24×D3C2311yescharacteristic
222C22×C3×Q8C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C23×Dic3C2311yescharacteristic
237C23×Dic3C2311yescharacteristic
238C23×Dic3C2311yescharacteristic
239C22×D12C2311yescharacteristic
240C22×D12C2311yescharacteristic
241C22×C4×D3C2311yescharacteristic
242C22×C4×D3C2311yescharacteristic
243C22×C4×D3C2311yescharacteristic
244C22×Dic6C2311yescharacteristic
245C22×Dic6C2311yescharacteristic
246C22×Dic6C2311yescharacteristic
247C3×#124—24no—
248C3×C22⋊Q8—42no—
249C3×#121—24no—
250C3×C4×D4—42no—
251C2×C3×C4⋊C4C2311yescharacteristic
252C2×C3×C4⋊C4C2311yescharacteristic
253C2×C3×C4⋊C4C2311yescharacteristic
254C2×C3×C4⋊C4C2311yescharacteristic
255C2×C3×C4⋊C4C2311yescharacteristic
256C2×C3×C4⋊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×C3×C22⋊C4C2311yescharacteristic
265C2×C3×C22⋊C4C2311yescharacteristic
266C2×C3×C22⋊C4C2311yescharacteristic
267C2×C3×C22⋊C4C2311yescharacteristic
268C2×C3×C22⋊C4C2311yescharacteristic
269C2×C3×C42C2311yescharacteristic
270C2×C3×C42C2311yescharacteristic
271C2×#217C2311yescharacteristic
272C2×#217C2311yescharacteristic
273C2×#217C2311yescharacteristic
274C2×#217C2311yescharacteristic
275C2×#217C2311yescharacteristic
276C2×#217C2311yescharacteristic
277C2×#217C2311yescharacteristic
278C2×#217C2311yescharacteristic
279C2×#217C2311yescharacteristic
280C2×#217C2311yescharacteristic
281C2×#217C2311yescharacteristic
282C2×#217C2311yescharacteristic
283C2×#217C2311yescharacteristic
284#946—24no—
285#944—24no—
286#939—24no—
287#939—24no—
288#938—24no—
289#937—24no—
290#937—24no—
291#936—24no—
292#935D418yescomplemented
293#930—24no—
294#929—24no—
295C4×#67—24no—
296C2×(C2×D3)⋊C4—24no—
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×(C2×D3)⋊C4C2311yescharacteristic
326C2×C4⋊Dic3C2311yescharacteristic
327C2×C4⋊Dic3C2311yescharacteristic
328C2×C4⋊Dic3C2311yescharacteristic
329C2×C4⋊Dic3C2311yescharacteristic
330C2×C4⋊Dic3C2311yescharacteristic
331C2×Dic3⋊C4C2311yescharacteristic
332C2×Dic3⋊C4C2311yescharacteristic
333C2×Dic3⋊C4C2311yescharacteristic
334C2×Dic3⋊C4C2311yescharacteristic
335C2×Dic3⋊C4C2311yescharacteristic
336C2×Dic3⋊C4C2311yescharacteristic
337C2×Dic3⋊C4C2311yescharacteristic
338C2×Dic3⋊C4C2311yescharacteristic
339C2×Dic3⋊C4C2311yescharacteristic
340C2×Dic3⋊C4C2311yescharacteristic
341C2×Dic3⋊C4C2311yescharacteristic
342C2×Dic3⋊C4C2311yescharacteristic
343C2×Dic3⋊C4C2311yescharacteristic
344C2×Dic3⋊C4C2311yescharacteristic
345C2×Dic3⋊C4C2311yescharacteristic
346C2×C4×Dic3—42no—
347C2×C4×Dic3C2311yescharacteristic
348C2×C4×Dic3C2311yescharacteristic
349C2×C4×Dic3C2311yescharacteristic
350C2×C4×Dic3C2311yescharacteristic
351C2×C4×Dic3C2311yescharacteristic
352C2×C4×Dic3C2311yescharacteristic
353C2×C4×Dic3C2311yescharacteristic
354C2×C4×Dic3C2311yescharacteristic
355C2×C4×Dic3C2311yescharacteristic
356C2×C4×Dic3C2311yescharacteristic
357C2×C4×Dic3C2311yescharacteristic
358#898—24no—
359#896—24no—
360#893—42no—
361#885—24no—
362#885—24no—
363#885—24no—
364#885—24no—
365#885—42no—
366#883—24no—
367#882—42no—
368#67⋊C4—24no—
369#67⋊C4—24no—
370D3×C22⋊C4—24no—
371#879—24no—
372#879—24no—
373#878—24no—
374#878—24no—
375#877—24no—
376#876—24no—
377C4×Dic6—24no—
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
404C3⋊#95C2311yescharacteristic
405C3⋊#95C2311yescharacteristic
406C3⋊#95C2311yescharacteristic
407C3⋊#95C2311yescharacteristic
408C3⋊#95C2311yescharacteristic
409C3⋊#95C2311yescharacteristic
410C3⋊#95C2311yescharacteristic
411C3⋊#95C2311yescharacteristic
412C3⋊#95C2311yescharacteristic
413C3⋊#95C2311yescharacteristic
414#542—68no—
415#538—68no—
416C2×C4⋊Q8—31no—
417C2×#126—31no—
418C2×#126—31no—
419C2×#126—31no—
420C2×#126—31no—
421C2×#124—31no—
422C2×#124—31no—
423C2×#124—31no—
424C2×#124—31no—
425C2×#124—31no—
426C2×#124—31no—
427C2×#124C2×D311yescharacteristic
428C2×#123—31no—
429C2×#123—31no—
430C2×#123—31no—
431C2×C22⋊Q8—31no—
432C2×C22⋊Q8—31no—
433C2×C22⋊Q8—31no—
434C2×C22⋊Q8—31no—
435C2×C22⋊Q8C2×D311yescharacteristic, complemented
436C2×#121—31no—
437C2×#121—31no—
438C2×#121—31no—
439C2×#121—31no—
440C2×#121C2×D311yescharacteristic
441C2×#120—31no—
442C2×#120—31no—
443C2×#120—31no—
444C2×C4×Q8—31no—
445C2×C4×D4—31no—
446C2×C4×D4—31no—
447C2×C4×D4—31no—
448C2×C4×D4—31no—
449C2×C4×D4C2×D311yescharacteristic
450C2×#117—31no—
451C22×C22⋊C4—31no—
452C22×C22⋊C4—31no—
453C22×C42—31no—
454#400—31no—
455#400—31no—
456#399—31no—
457#399—31no—
458#398—31no—
459#398—31no—
460#397—31no—
461#397—31no—
462#397—31no—
463#397—31no—
464#397—31no—
465#397—31no—
466#397C2×D311yescharacteristic
467#397C2×D311yescharacteristic, complemented
468#396—31no—
469#396—31no—
470#395—31no—
471#395—31no—
472#395—31no—
473#394—31no—
474#394—31no—
475#394—31no—
476#394—31no—
477#394—31no—
478#394—31no—
479#394—31no—
480#394—31no—
481#394—31no—
482#394C2×D311yescharacteristic
483#394C2×D311yescharacteristic, complemented
484#393—31no—
485#393—31no—
486#393—31no—
487#393—31no—
488#393—31no—
489#392—31no—
490#392—31no—
491#392—31no—
492#392—31no—
493#392—31no—
494#391—31no—
495#391—31no—
496#391—31no—
497#391—31no—
498#391C2×D311yescharacteristic, complemented
499#390—31no—
500#390—31no—
501#390—31no—
502#390—31no—
503#390—31no—
504#389—31no—
505#389C2×D311yescharacteristic, complemented
506#388—31no—
507#388—31no—
508#388—31no—
509#388—31no—
510#388—31no—
511#388—31no—
512#388—31no—
513#388—31no—
514#388—31no—
515#388—31no—
516#388—31no—
517#388—31no—
518#388—31no—
519#388—31no—
520#388—31no—
521#388—31no—
522#388—31no—
523#388—31no—
524#388—31no—
525#388—31no—
526#387—31no—
527#387—31no—
528#387—31no—
529#387—31no—
530#387—31no—
531#387—31no—
532#386—31no—
533#386—31no—
534#386—31no—
535#386—31no—
536#386—31no—
537#386—31no—
538#386—31no—
539#386—31no—
540#386—31no—
541#386—31no—
542#386—31no—
543#386—31no—
544#386C2×D311yescharacteristic
545#386C2×D311yescharacteristic, complemented
546#385—31no—
547#385—31no—
548#385—31no—
549#385—31no—
550#385—31no—
551#385—31no—
552#382—31no—
553#381—31no—
554#381—31no—
555#380—31no—
556#380C2×D311yescharacteristic
557#380C2×D311yescharacteristic, complemented
558#379—31no—
559#379—31no—
560C4×C4⋊C4—31no—
561C4×C4⋊C4—31no—
562C4×C4⋊C4—31no—
563C4×C4⋊C4—31no—
564C4×C22⋊C4—31no—
565C4×C22⋊C4—31no—
566C4×C22⋊C4—31no—
567C4×C22⋊C4—31no—
568C4×C22⋊C4—31no—
569C4×C22⋊C4—31no—
570C4×C22⋊C4C2×D311yescharacteristic, complemented
571C24×C3C2411yescharacteristic
572C24×C3C2411yescharacteristic
573C24×C3C2411yescharacteristic
574C23×D3—22no—
575C23×D3—22no—
576C23×D3—41no—
577C23×D3—41no—
578C23×D3—41no—
579C23×D3—41no—
580C23×D3—41no—
581C23×D3C2411yescharacteristic
582C23×D3C2411yescharacteristic
583C23×D3C2411yescharacteristic
584C2×C3×Q8—22no—
585C2×C3×Q8—41no—
586C2×C3×Q8—41no—
587C2×C3×D4—22no—
588C2×C3×D4—22no—
589C2×C3×D4—41no—
590C2×C3×D4—41no—
591C2×C3×D4—41no—
592C2×C3×D4—41no—
593C2×C3×D4—41no—
594C2×C3×D4—41no—
595C2×C3×D4C2×D414yes—
596C22×C3×C4—22no—
597C22×C3×C4—22no—
598C22×C3×C4—22no—
599C22×C3×C4—22no—
600C22×C3×C4—41no—
601C22×C3×C4—41no—
602C22×C3×C4—41no—
603C22×C3×C4—41no—
604C22×C3×C4—41no—
605C22×C3×C4C2411yescharacteristic
606C22×C3×C4C2411yescharacteristic
607C22×C3×C4C2411yescharacteristic
608C22×C3×C4C2411yescharacteristic
609C22×C3×C4C2411yescharacteristic
610C22×C3×C4C2411yescharacteristic
611C22×C3×C4C2411yescharacteristic
612C22×C3×C4C2411yescharacteristic
613C22×C3×C4C2411yescharacteristic
614C22×C3×C4C2411yescharacteristic
615C22×C3×C4C2411yescharacteristic
616C22×C3×C4C2411yescharacteristic
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—41no—
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—41no—
636C2×#67—41no—
637C2×#67—41no—
638C22×Dic3—22no—
639C22×Dic3—22no—
640C22×Dic3—41no—
641C22×Dic3—41no—
642C22×Dic3—41no—
643C22×Dic3—41no—
644C22×Dic3—41no—
645C22×Dic3—41no—
646C22×Dic3C2×D414yes—
647C22×Dic3C2411yescharacteristic
648C22×Dic3C2411yescharacteristic
649C22×Dic3C2411yescharacteristic
650C22×Dic3C2411yescharacteristic
651C22×Dic3C2411yescharacteristic
652C22×Dic3C2411yescharacteristic
653C22×Dic3C2411yescharacteristic
654C22×Dic3C2411yescharacteristic
655C22×Dic3C2411yescharacteristic
656C22×Dic3C2411yescharacteristic
657C22×Dic3C2411yescharacteristic
658C22×Dic3C2411yescharacteristic
659C22×Dic3C2411yescharacteristic
660C2×D12—22no—
661C2×D12—22no—
662C2×D12—41no—
663C2×D12—41no—
664C2×D12—41no—
665C2×D12—41no—
666C2×C4×D3—22no—
667C2×C4×D3—22no—
668C2×C4×D3—22no—
669C2×C4×D3—41no—
670C2×C4×D3—41no—
671C2×C4×D3—41no—
672C2×C4×D3—41no—
673C2×C4×D3—41no—
674C2×C4×D3—41no—
675C2×Dic6—22no—
676C2×Dic6—22no—
677C2×Dic6—22no—
678C2×Dic6—22no—
679C2×Dic6—41no—
680C2×Dic6—41no—
681C2×Dic6—41no—
682C2×Dic6—41no—
683C2×Dic6—41no—
684C3×C4⋊C4—22no—
685C3×C4⋊C4—22no—
686C3×C4⋊C4—22no—
687C3×C4⋊C4—41no—
688C3×C4⋊C4—41no—
689C3×C4⋊C4—41no—
690C3×C22⋊C4—22no—
691C3×C22⋊C4—22no—
692C3×C22⋊C4—22no—
693C3×C22⋊C4—22no—
694C3×C22⋊C4—22no—
695C3×C22⋊C4—22no—
696C3×C22⋊C4—22no—
697C3×C22⋊C4—22no—
698C3×C22⋊C4—22no—
699C3×C22⋊C4—41no—
700C3×C22⋊C4—41no—
701C3×C22⋊C4—41no—
702C3×C42—22no—
703C3×C42—41no—
704#217—22no—
705#217—22no—
706#217—22no—
707#217—22no—
708#217—22no—
709#217—41no—
710#217—41no—
711#217—41no—
712#217—41no—
713#217—41no—
714#217C2×D414yes—
715#217C2×D414yes—
716#217C2×D414yes—
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—22no—
726(C2×D3)⋊C4—22no—
727(C2×D3)⋊C4—22no—
728(C2×D3)⋊C4—22no—
729(C2×D3)⋊C4—22no—
730(C2×D3)⋊C4—22no—
731(C2×D3)⋊C4—22no—
732(C2×D3)⋊C4—22no—
733(C2×D3)⋊C4—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#4114yes—
746C4⋊Dic3—22no—
747C4⋊Dic3—22no—
748C4⋊Dic3—22no—
749C4⋊Dic3—22no—
750C4⋊Dic3—41no—
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—41no—
760Dic3⋊C4—41no—
761Dic3⋊C4—41no—
762Dic3⋊C4—41no—
763Dic3⋊C4—41no—
764Dic3⋊C4C2×D414yes—
765Dic3⋊C4C2×D414yes—
766C4×Dic3—22no—
767C4×Dic3—22no—
768C4×Dic3—22no—
769C4×Dic3—22no—
770C4×Dic3—22no—
771C4×Dic3—22no—
772C4×Dic3—22no—
773C4×Dic3—22no—
774C4×Dic3—41no—
775C4×Dic3—41no—
776C4×Dic3—41no—
777C25—31no—
778C22×Q8—31no—
779C22×Q8—31no—
780C22×Q8—31no—
781C22×Q8C22×D311yescharacteristic
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×D4C22×D311yescharacteristic
792C22×D4C22×D311yescharacteristic
793C22×D4C22×D311yescharacteristic
794C23×C4—31no—
795C23×C4—31no—
796C23×C4—31no—
797C23×C4—31no—
798C23×C4—31no—
799C23×C4—31no—
800C23×C4C22×D311yescharacteristic
801C23×C4C22×D311yescharacteristic
802C23×C4C22×D311yescharacteristic
803C4⋊Q8—64no—
804#126—64no—
805#126—64no—
806#126—64no—
807#126—64no—
808#124—24no—
809#124—64no—
810#124—64no—
811#124—64no—
812#124—64no—
813#124—64no—
814#124—122no—
815#123—38no—
816#123—64no—
817#123—64no—
818C22⋊Q8—42no—
819C22⋊Q8—64no—
820C22⋊Q8—64no—
821C22⋊Q8—64no—
822C22⋊Q8—64no—
823#121—24no—
824#121—64no—
825#121—64no—
826#121—64no—
827#121—64no—
828#120—64no—
829#120—64no—
830#120—122no—
831C4×Q8—64no—
832C4×D4—42no—
833C4×D4—64no—
834C4×D4—64no—
835C4×D4—64no—
836C4×D4—122no—
837#117—64no—
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×C4⋊C4—31no—
852C2×C4⋊C4—31no—
853C2×C4⋊C4—31no—
854C2×C4⋊C4—31no—
855C2×C4⋊C4—31no—
856C2×C4⋊C4—31no—
857C2×C4⋊C4—31no—
858C2×C4⋊C4C22×D311yescharacteristic
859C2×C4⋊C4C22×D311yescharacteristic
860C2×C4⋊C4C22×D311yescharacteristic
861C2×C4⋊C4C22×D311yescharacteristic
862C2×C4⋊C4C22×D311yescharacteristic
863C2×C4⋊C4C22×D311yescharacteristic
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—31no—
898C2×C22⋊C4—31no—
899C2×C22⋊C4—31no—
900C2×C22⋊C4—31no—
901C2×C22⋊C4—31no—
902C2×C22⋊C4—31no—
903C2×C22⋊C4—31no—
904C2×C22⋊C4—31no—
905C2×C22⋊C4—31no—
906C2×C22⋊C4—64no—
907C2×C22⋊C4—64no—
908C2×C22⋊C4C22×D311yescharacteristic
909C2×C22⋊C4C22×D311yescharacteristic
910C2×C22⋊C4C22×D311yescharacteristic
911C2×C22⋊C4C22×D311yescharacteristic
912C2×C22⋊C4C22×D311yescharacteristic
913C2×C22⋊C4C22×D311yescharacteristic
914C2×C22⋊C4C22×D311yescharacteristic
915C2×C22⋊C4C22×D311yescharacteristic
916C2×C22⋊C4C22×D311yescharacteristic
917C2×C22⋊C4C22×D311yescharacteristic
918C2×C22⋊C4C22×D311yescharacteristic
919C2×C22⋊C4C22×D311yescharacteristic
920C2×C42—31no—
921C2×C42—31no—
922C2×C42—31no—
923C2×C42—31no—
924C2×C42—31no—
925C2×C42—31no—
926C2×C42—31no—
927C2×C42—31no—
928C2×C42—31no—
929C2×C42—31no—
930C2×C42—31no—
931C2×C42—122no—
932C2×C42C22×D311yescharacteristic
933C2×C42C22×D311yescharacteristic
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#95—31no—
946#95—31no—
947#95—31no—
948#95—31no—
949#95—31no—
950#95—31no—
951#95—31no—
952#95—31no—
953#95—31no—
954#95—31no—
955#95—31no—
956#95—31no—
957#95—31no—
958#95—31no—
959#95—31no—
960#95—31no—
961#95—31no—
962#95C22×D311yescharacteristic
963#95C22×D311yescharacteristic
964#95C22×D311yescharacteristic
965#95C22×D311yescharacteristic
966#95C22×D311yescharacteristic
967#95C22×D311yescharacteristic
968#95C22×D311yescharacteristic
969#95C22×D311yescharacteristic
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×C3—21no—
981C23×C3—21no—
982C23×C3—21no—
983C23×C3—21no—
984C23×C3—21no—
985C23×C3—21no—
986C23×C3—21no—
987C23×C3—21no—
988C23×C3—21no—
989C23×C3C22×D412yes—
990C23×C3C22×D412yes—
991C23×C3C2511yescharacteristic
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—21no—
1009C22×D3—21no—
1010C22×D3—21no—
1011C22×D3—21no—
1012C22×D3—44no—
1013C22×D3—44no—
1014C22×D3—82no—
1015C22×D3—82no—
1016C22×D3—82no—
1017C22×D3—82no—
1018C22×D3—82no—
1019C22×D3C2×#4112yes—
1020C3×Q8—82no—
1021C3×D4—44no—
1022C3×D4—82no—
1023C3×D4—82no—
1024C2×C3×C4—21no—
1025C2×C3×C4—21no—
1026C2×C3×C4—21no—
1027C2×C3×C4—21no—
1028C2×C3×C4—21no—
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—44no—
1058C2×C3×C4—82no—
1059C2×C3×C4—82no—
1060C2×C3×C4C22×D412yes—
1061C2×C3×C4C2×#4112yes—
1062C2×C3×C4H(5,𝔽2)12yes—
1063#67—44no—
1064#67—44no—
1065#67—44no—
1066#67—82no—
1067#67—82no—
1068#67—82no—
1069#67—82no—
1070C2×Dic3—21no—
1071C2×Dic3—21no—
1072C2×Dic3—21no—
1073C2×Dic3—21no—
1074C2×Dic3—21no—
1075C2×Dic3—21no—
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—44no—
1105C2×Dic3—44no—
1106C2×Dic3—44no—
1107C2×Dic3C22×D412yes—
1108C2×Dic3C22×D412yes—
1109C2×Dic3C22×D412yes—
1110C2×Dic3C22×D412yes—
1111C2×Dic3C2×#4112yes—
1112D12—44no—
1113D12—82no—
1114C4×D3—82no—
1115C4×D3—82no—
1116C4×D3—82no—
1117Dic6—44no—
1118Dic6—82no—
1119Dic6—82no—
1120C24—31no—
1121C24—31no—
1122C24—31no—
1123C24—62no—
1124C24—62no—
1125C24—121no—
1126C24—121no—
1127C24—121no—
1128C24—121no—
1129C24—121no—
1130C24C23×D311yescharacteristic
1131C24C23×D311yescharacteristic
1132C24C23×D311yescharacteristic
1133C2×Q8—22no—
1134C2×Q8—41no—
1135C2×Q8—41no—
1136C2×Q8—62no—
1137C2×Q8—62no—
1138C2×Q8—62no—
1139C2×Q8—62no—
1140C2×Q8—121no—
1141C2×Q8—121no—
1142C2×Q8—121no—
1143C2×Q8—121no—
1144C2×Q8—121no—
1145C2×D4—22no—
1146C2×D4—22no—
1147C2×D4—41no—
1148C2×D4—41no—
1149C2×D4—41no—
1150C2×D4—41no—
1151C2×D4—41no—
1152C2×D4—41no—
1153C2×D4—62no—
1154C2×D4—62no—
1155C2×D4—62no—
1156C2×D4—62no—
1157C2×D4—62no—
1158C2×D4—62no—
1159C2×D4—62no—
1160C2×D4—62no—
1161C2×D4—62no—
1162C2×D4—62no—
1163C2×D4—62no—
1164C2×D4—121no—
1165C2×D4—121no—
1166C2×D4—121no—
1167C2×D4—121no—
1168C2×D4—121no—
1169C2×D4—121no—
1170C2×D4—121no—
1171C2×D4—121no—
1172C2×D4—121no—
1173C2×D4—121no—
1174C2×D4—121no—
1175C2×D4—121no—
1176C2×D4—121no—
1177C2×D4—121no—
1178C2×D4—121no—
1179C2×D4—121no—
1180C2×D4D3×D414yes—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—22no—
1185C22×C4—31no—
1186C22×C4—31no—
1187C22×C4—31no—
1188C22×C4—31no—
1189C22×C4—31no—
1190C22×C4—34no—
1191C22×C4—31no—
1192C22×C4—31no—
1193C22×C4—31no—
1194C22×C4—31no—
1195C22×C4—31no—
1196C22×C4—31no—
1197C22×C4—31no—
1198C22×C4—31no—
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—121no—
1210C22×C4—121no—
1211C22×C4—121no—
1212C22×C4—121no—
1213C22×C4—121no—
1214C22×C4—121no—
1215C22×C4—121no—
1216C22×C4—121no—
1217C22×C4—121no—
1218C22×C4—121no—
1219C22×C4—121no—
1220C22×C4—121no—
1221C22×C4C23×D311yescharacteristic
1222C22×C4C23×D311yescharacteristic
1223C22×C4C23×D311yescharacteristic
1224C22×C4C23×D311yescharacteristic
1225C22×C4C23×D311yescharacteristic
1226C22×C4C23×D311yescharacteristic
1227C22×C4C23×D311yescharacteristic
1228C22×C4C23×D311yescharacteristic
1229C22×C4C23×D311yescharacteristic
1230C22×C4C23×D311yescharacteristic
1231C22×C4C23×D311yescharacteristic
1232C22×C4C23×D311yescharacteristic
1233C4⋊C4—22no—
1234C4⋊C4—22no—
1235C4⋊C4—22no—
1236C4⋊C4—34no—
1237C4⋊C4—34no—
1238C4⋊C4—41no—
1239C4⋊C4—41no—
1240C4⋊C4—41no—
1241C4⋊C4—62no—
1242C4⋊C4—62no—
1243C4⋊C4—62no—
1244C4⋊C4—62no—
1245C4⋊C4—62no—
1246C4⋊C4—62no—
1247C4⋊C4—62no—
1248C4⋊C4—62no—
1249C4⋊C4—62no—
1250C4⋊C4—62no—
1251C4⋊C4—62no—
1252C4⋊C4—62no—
1253C4⋊C4—121no—
1254C4⋊C4—121no—
1255C4⋊C4—121no—
1256C4⋊C4—121no—
1257C4⋊C4—121no—
1258C4⋊C4—121no—
1259C22⋊C4—22no—
1260C22⋊C4—22no—
1261C22⋊C4—22no—
1262C22⋊C4—22no—
1263C22⋊C4—22no—
1264C22⋊C4—22no—
1265C22⋊C4—22no—
1266C22⋊C4—22no—
1267C22⋊C4—22no—
1268C22⋊C4—34no—
1269C22⋊C4—34no—
1270C22⋊C4—34no—
1271C22⋊C4—34no—
1272C22⋊C4—41no—
1273C22⋊C4—41no—
1274C22⋊C4—41no—
1275C22⋊C4—62no—
1276C22⋊C4—62no—
1277C22⋊C4—62no—
1278C22⋊C4—62no—
1279C22⋊C4—62no—
1280C22⋊C4—62no—
1281C22⋊C4—62no—
1282C22⋊C4—62no—
1283C22⋊C4—62no—
1284C22⋊C4—62no—
1285C22⋊C4—62no—
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—121no—
1297C22⋊C4—121no—
1298C22⋊C4—121no—
1299C22⋊C4—121no—
1300C22⋊C4—121no—
1301C22⋊C4—121no—
1302C22⋊C4—121no—
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—
1313C42—22no—
1314C42—41no—
1315C42—62no—
1316C42—62no—
1317C42—62no—
1318C42—62no—
1319C42—62no—
1320C42—62no—
1321C42—62no—
1322C42—62no—
1323C42—121no—
1324C42—121no—
1325C42—121no—
1326C22×C3—22no—
1327C22×C3—22no—
1328C22×C3—22no—
1329C22×C3—22no—
1330C22×C3—22no—
1331C22×C3—22no—
1332C22×C3—41no—
1333C22×C3—41no—
1334C22×C3—41no—
1335C22×C3—41no—
1336C22×C3—41no—
1337C22×C3—41no—
1338C22×C3—41no—
1339C22×C3—41no—
1340C22×C3—41no—
1341C22×C3—41no—
1342C22×C3—41no—
1343C22×C3—41no—
1344C22×C3—41no—
1345C22×C3—41no—
1346C22×C3—41no—
1347C22×C3C23×D411yescharacteristic
1348C22×C3C22×#4111yescharacteristic
1349C22×C3C2×H(5,𝔽2)11yescharacteristic
1350C22×C3#58511yescharacteristic
1351C22×C3#58511yescharacteristic
1352C22×C3#58511yescharacteristic
1353C22×C3#58511yescharacteristic
1354C2×D3—22no—
1355C2×D3—22no—
1356C2×D3—22no—
1357C2×D3—41no—
1358C2×D3—41no—
1359C2×D3—41no—
1360C2×D3—41no—
1361C2×D3—41no—
1362C2×D3—41no—
1363C2×D3—41no—
1364C2×D3—41no—
1365C2×D3—41no—
1366C2×D3—41no—
1367C2×D3—41no—
1368C2×D3—41no—
1369C2×D3—41no—
1370C2×D3—41no—
1371C2×D3—41no—
1372C2×D3—41no—
1373C2×D3—41no—
1374C2×D3—41no—
1375C2×D3—88no—
1376C3×C4—22no—
1377C3×C4—22no—
1378C3×C4—22no—
1379C3×C4—41no—
1380C3×C4—41no—
1381C3×C4—41no—
1382C3×C4—41no—
1383C3×C4—41no—
1384C3×C4—41no—
1385C3×C4—41no—
1386C3×C4—41no—
1387C3×C4—41no—
1388Dic3—22no—
1389Dic3—22no—
1390Dic3—22no—
1391Dic3—22no—
1392Dic3—22no—
1393Dic3—41no—
1394Dic3—41no—
1395Dic3—41no—
1396Dic3—41no—
1397Dic3—41no—
1398Dic3—41no—
1399Dic3—41no—
1400Dic3—41no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—32no—
1421C23—61no—
1422C23—61no—
1423C23—61no—
1424C23—61no—
1425C23—61no—
1426C23—61no—
1427C23—61no—
1428C23—61no—
1429C23—61no—
1430C23—61no—
1431C23—61no—
1432C23—61no—
1433C23—61no—
1434C23—61no—
1435C23—61no—
1436C23—61no—
1437C23—61no—
1438C23—61no—
1439C23—61no—
1440C23—61no—
1441C23—124no—
1442C23—124no—
1443C23—242no—
1444C23—242no—
1445C23—242no—
1446C23—242no—
1447C23—242no—
1448C23C2×D3×D412yes—
1449C23C2×D3×D412yes—
1450C23C24×D311yescharacteristic
1451Q8—82no—
1452Q8—124no—
1453Q8—242no—
1454Q8—242no—
1455D4—44no—
1456D4—82no—
1457D4—82no—
1458D4—124no—
1459D4—124no—
1460D4—124no—
1461D4—124no—
1462D4—242no—
1463D4—242no—
1464D4—242no—
1465D4—242no—
1466D4—242no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—32no—
1501C2×C4—32no—
1502C2×C4—32no—
1503C2×C4—32no—
1504C2×C4—32no—
1505C2×C4—44no—
1506C2×C4—61no—
1507C2×C4—61no—
1508C2×C4—61no—
1509C2×C4—61no—
1510C2×C4—61no—
1511C2×C4—61no—
1512C2×C4—61no—
1513C2×C4—61no—
1514C2×C4—61no—
1515C2×C4—61no—
1516C2×C4—61no—
1517C2×C4—61no—
1518C2×C4—61no—
1519C2×C4—61no—
1520C2×C4—61no—
1521C2×C4—61no—
1522C2×C4—61no—
1523C2×C4—61no—
1524C2×C4—61no—
1525C2×C4—61no—
1526C2×C4—61no—
1527C2×C4—61no—
1528C2×C4—61no—
1529C2×C4—61no—
1530C2×C4—61no—
1531C2×C4—61no—
1532C2×C4—61no—
1533C2×C4—61no—
1534C2×C4—61no—
1535C2×C4—61no—
1536C2×C4—61no—
1537C2×C4—61no—
1538C2×C4—61no—
1539C2×C4—61no—
1540C2×C4—82no—
1541C2×C4—82no—
1542C2×C4—124no—
1543C2×C4—124no—
1544C2×C4—124no—
1545C2×C4—242no—
1546C2×C4—242no—
1547C2×C4—242no—
1548C2×C4C2×D3×D412yes—
1549C2×C4#100412yes—
1550C2×C4D3×#4112yes—
1551C2×C3—42no—
1552C2×C3—42no—
1553C2×C3—81no—
1554C2×C3#345511yescharacteristic
1555C2×C3D4×#4111yescharacteristic
1556C2×C3#349611yescharacteristic
1557C2×C3#350011yescharacteristic
1558C2×C3#351311yescharacteristic
1559C2×C3#354011yescharacteristic
1560C2×C3#356811yescharacteristic
1561D3—42no—
1562D3—81no—
1563D3—81no—
1564C22—22no—
1565C22—22no—
1566C22—22no—
1567C22—22no—
1568C22—22no—
1569C22—22no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—62no—
1586C22—62no—
1587C22—62no—
1588C22—121no—
1589C22—121no—
1590C22—121no—
1591C22—121no—
1592C22—121no—
1593C22—121no—
1594C22—121no—
1595C22—121no—
1596C22—121no—
1597C22—121no—
1598C22—121no—
1599C22—121no—
1600C22—121no—
1601C22—121no—
1602C22—121no—
1603C22—121no—
1604C22—121no—
1605C22—121no—
1606C22—248no—
1607C22C22×D3×D411yescharacteristic
1608C22C2×#100411yescharacteristic
1609C22C2×D3×#4111yescharacteristic
1610C22#596411yescharacteristic
1611C22#596411yescharacteristic
1612C22#596611yescharacteristic
1613C22#596811yescharacteristic
1614C4—22no—
1615C4—22no—
1616C4—22no—
1617C4—41no—
1618C4—41no—
1619C4—41no—
1620C4—41no—
1621C4—41no—
1622C4—41no—
1623C4—41no—
1624C4—41no—
1625C4—41no—
1626C4—62no—
1627C4—62no—
1628C4—62no—
1629C4—62no—
1630C4—62no—
1631C4—121no—
1632C4—121no—
1633C4—121no—
1634C4—121no—
1635C4—121no—
1636C4—121no—
1637C4—121no—
1638C4—121no—
1639C3#3938911yescharacteristic, complemented, Sylow
1640C2—42no—
1641C2—42no—
1642C2—81no—
1643C2—122no—
1644C2—241no—
1645C2—241no—
1646C2#8595011yescharacteristic
1647C2#8614611yescharacteristic
1648C2#8654811yescharacteristic
1649C2#8663211yescharacteristic
1650C2#8663511yescharacteristic
1651C2#8667411yescharacteristic
1652C2#8674011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2427C2
hypercenter#2427D3
hypocenterC3#39389
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2427

Complements

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

NH ≅ G/Ntype
1. C2×#5669C2semidirect
2. C2×#5613C2semidirect
3. C3×#2427C2semidirect
4. #83005C2semidirect
5. #82818C2semidirect
6. #82790C2semidirect
7. #82689C2semidirect
8. #82407C2semidirect
9. C4×#935C2semidirect
10. #77669C2semidirect
11. #77584C2semidirect
12. #77578C2semidirect
13. #77546C2semidirect
14. #77129C2semidirect
15. #77014C2semidirect
16. #76979C2semidirect
17. #76927C2semidirect
18. #76540C2semidirect
19. #76517C2semidirect
20. #76121C2semidirect
21. #76021C2semidirect
22. #74869C2semidirect
23. #74759C2semidirect
24. #74756C2semidirect
25. #74727C2semidirect
26. #74009C2semidirect
27. #73929C2semidirect
28. #73929C2semidirect
29. #73865C2semidirect
30. #73535C2semidirect
31. #73472C2semidirect
34. C2×C3×C22⋊Q8C22semidirect
37. C2×#946C22semidirect
38. C2×#944C22semidirect
50. C22×C4×Dic3C22semidirect
60. C2×#885C22semidirect
64. C2×#67⋊C4C22semidirect
67. C2×#879C22semidirect
69. C2×#878C22semidirect
71. C2×#876C22semidirect
72. C2×C4×Dic6C22semidirect
74. C3×#397C22semidirect
76. C3×#394C22semidirect
77. C3×#391C22semidirect
78. C3×#389C22semidirect
80. C3×#386C22semidirect
82. C3×#380C22semidirect
83. C3×C4×C22⋊C4C22semidirect
87. #5223C22semidirect
90. #5220C22semidirect
93. #5213C22semidirect
94. #5210C22semidirect
97. C4×#217C22semidirect
100. #4993C22semidirect
101. #4992C22semidirect
106. #4990C22semidirect
110. #4985C22semidirect
111. #4980C22semidirect
112. #4980C22semidirect
113. #4979C22semidirect
114. #4979C22semidirect
115. #4978C22semidirect
116. #4978C22semidirect
117. Dic3×C4⋊C4C22semidirect
118. #4972C22semidirect
130. #4958C22semidirect
133. #4957C22semidirect
134. #4956C22semidirect
139. #4952C22semidirect
140. #4952C22semidirect
141. #4951C22semidirect
142. #4951C22semidirect
144. #4948C22semidirect
145. #4946C22semidirect
146. #4945C22semidirect
149. #4944C22semidirect
151. #4943C22semidirect
156. C4×Dic3⋊C4C22semidirect
157. C4×Dic3⋊C4C22semidirect
161. #4673C22semidirect
166. #4670C22semidirect
170. #4669C22semidirect
175. #4666C22semidirect
178. #4661C22semidirect
179. #4658C22semidirect
180. #4657C22semidirect
181. #4656C22semidirect
182. #4655C22semidirect
183. #4654C22semidirect
184. #4650C22semidirect
185. #4649C22semidirect
186. #4646C22semidirect
187. #4646C22semidirect
188. #4646C22semidirect
189. #4646C22semidirect
214. #2427D3semidirect
292. #935D4semidirect
435. C2×C22⋊Q8C2×D3semidirect
467. #397C2×D3semidirect
483. #394C2×D3semidirect
498. #391C2×D3semidirect
505. #389C2×D3semidirect
545. #386C2×D3semidirect
557. #380C2×D3semidirect
570. C4×C22⋊C4C2×D3semidirect
1639. C3#39389semidirect

Maximal subgroups

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

subgroupindex
C2×#56692
C2×#56132
C3×#24272
#830052
#828182
#827902
#826892
#824072
C4×#9352
#776692
#775842
#775782
#775462
#771292
#770142
#769792
#769272
#765402
#765172
#761212
#760212
#748692
#747592
#747562
#747272
#740092
#739292
#738652
#735352
#734722
#393893