Finite Group Databasebeta

← #10974366

Subgroups — #10974366

Order 768.

2802 conjugacy classes of subgroups.

The subgroup lattice has 1714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5547C211yesmaximal, characteristic, complemented
2C2×#5546C211yesmaximal, characteristic, complemented
3C3×#2325C211yesmaximal, characteristic, complemented
4#82706C211yesmaximal, characteristic, complemented
5#82651C211yesmaximal, characteristic, complemented
6C4×#937C211yesmaximal, characteristic, complemented
7#82326C211yesmaximal, characteristic, complemented
8#75899C211yesmaximal, characteristic, complemented
9#75896C211yesmaximal, characteristic, complemented
10#75862C211yesmaximal, characteristic, complemented
11#75853C211yesmaximal, characteristic, complemented
12#75371C211yesmaximal, characteristic, complemented
13#75370C211yesmaximal, characteristic, complemented
14#75331C211yesmaximal, characteristic, complemented
15#75328C211yesmaximal, characteristic, complemented
16#74899C211yesmaximal, characteristic, complemented
17#74889C211yesmaximal, characteristic, complemented
18#74885C211yesmaximal, characteristic, complemented
19#74776C211yesmaximal, characteristic, complemented
20#74710C211yesmaximal, characteristic, complemented
21#74704C211yesmaximal, characteristic, complemented
22#74702C211yesmaximal, characteristic, complemented
23#74688C211yesmaximal, characteristic, complemented
24#74612C211yesmaximal, characteristic, complemented
25#74600C211yesmaximal, characteristic, complemented
26#74487C211yesmaximal, characteristic, complemented
27#74421C211yesmaximal, characteristic, complemented
28#74021C211yesmaximal, characteristic, complemented
29#73897C211yesmaximal, characteristic, complemented
30#73367C211yesmaximal, characteristic, complemented
31C2×#4668C211yesmaximal, characteristic, complemented
32#35353—31nomaximal, Sylow
33C22×#237C2211yescharacteristic
34C22×#235C2211yescharacteristic
35C23×C4×D3C2211yescharacteristic
36C2×C3×#121C2211yescharacteristic
37C2×C3×C4×D4C2211yescharacteristic
38C2×C3×C4×D4C2211yescharacteristic
39C2×#939C2211yescharacteristic
40C2×#939C2211yescharacteristic
41C2×#937C2211yescharacteristic
42C2×#937C2211yescharacteristic
43C2×#935C2211yescharacteristic
44C2×D4×Dic3C2211yescharacteristic
45C2×C4×#67C2211yescharacteristic
46C2×C4×#67C2211yescharacteristic
47C2×C4×#67C2211yescharacteristic
48C2×C4×#67C2211yescharacteristic
49C2×C4×#67C2211yescharacteristic, complemented
50C22×(C2×D3)⋊C4C2211yescharacteristic
51C22×(C2×D3)⋊C4C2211yescharacteristic
52C22×C4⋊Dic3C2211yescharacteristic
53C22×Dic3⋊C4C2211yescharacteristic
54C22×Dic3⋊C4C2211yescharacteristic, complemented
55#5547—28no—
56#5546—28no—
57C2×#896C2211yescharacteristic
58C2×#894C2211yescharacteristic
59C2×#894C2211yescharacteristic
60C2×D3×C4⋊C4C2211yescharacteristic, complemented
61C2×#887C2211yescharacteristic, complemented
62C2×#884C2211yescharacteristic
63C2×#883C2211yescharacteristic
64C2×#883C2211yescharacteristic, complemented
65C2×#882C2211yescharacteristic
66C2×#67⋊C4C2211yescharacteristic
67C2×#67⋊C4C2211yescharacteristic, complemented
68C2×#878C2211yescharacteristic
69C2×#878C2211yescharacteristic, complemented
70C2×#877C2211yescharacteristic
71C2×#877C2211yescharacteristic, complemented
72C2×C4×D12C2211yescharacteristic
73C2×#872C2211yescharacteristic
74C2×#872C2211yescharacteristic, complemented
75C2×C4×Dic6C2211yescharacteristic, complemented
76C3×#388C2211yescharacteristic, complemented
77C3×#388C2211yescharacteristic, complemented
78C3×#387C2211yescharacteristic, complemented
79C3×#387C2211yescharacteristic, complemented
80C3×#386C2211yescharacteristic
81C3×#386C2211yescharacteristic
82C3×#386C2211yescharacteristic, complemented
83C3×#386C2211yescharacteristic, complemented
84C3×#385C2211yescharacteristic, complemented
85C3×#385C2211yescharacteristic, complemented
86C3×#380C2211yescharacteristic
87C2×C3×#95C2211yescharacteristic
88#5223C2211yescharacteristic
89#5223C2211yescharacteristic, complemented
90#5220C2211yescharacteristic
91#5220C2211yescharacteristic
92#5220C2211yescharacteristic, complemented
93#5213C2211yescharacteristic
94#5213C2211yescharacteristic
95#5210C2211yescharacteristic
96#5210C2211yescharacteristic
97#5210C2211yescharacteristic, complemented
98#5210C2211yescharacteristic, complemented
99C4×#217C2211yescharacteristic
100C2×C3⋊#95C2211yescharacteristic
101#4994C2211yescharacteristic
102#4993C2211yescharacteristic
103#4991C2211yescharacteristic
104#4990C2211yescharacteristic
105#4990C2211yescharacteristic
106#4989C2211yescharacteristic
107#4989C2211yescharacteristic
108#4989C2211yescharacteristic, complemented
109#4983C2211yescharacteristic, complemented
110#4980C2211yescharacteristic, complemented
111#4979C2211yescharacteristic, complemented
112#4979C2211yescharacteristic, complemented
113#4976C2211yescharacteristic, complemented
114#4976C2211yescharacteristic, complemented
115#4976C2211yescharacteristic, complemented
116#4961C2211yescharacteristic
117#4961C2211yescharacteristic, complemented
118#4960C2211yescharacteristic
119#4960C2211yescharacteristic
120#4959C2211yescharacteristic
121#4959C2211yescharacteristic
122#4959C2211yescharacteristic
123#4959C2211yescharacteristic, complemented
124#4958C2211yescharacteristic
125#4958C2211yescharacteristic
126#4958C2211yescharacteristic
127#4957C2211yescharacteristic
128#4957C2211yescharacteristic
129#4957C2211yescharacteristic
130#4956C2211yescharacteristic
131#4956C2211yescharacteristic
132#4956C2211yescharacteristic, complemented
133#4955C2211yescharacteristic
134#4951C2211yescharacteristic, complemented
135#4950C2211yescharacteristic, complemented
136#4949C2211yescharacteristic, complemented
137#4949C2211yescharacteristic, complemented
138#4948C2211yescharacteristic, complemented
139#4947C2211yescharacteristic, complemented
140#4946C2211yescharacteristic
141#4946C2211yescharacteristic
142#4946C2211yescharacteristic, complemented
143#4945C2211yescharacteristic, complemented
144#4945C2211yescharacteristic, complemented
145#4943C2211yescharacteristic
146C4×(C2×D3)⋊C4C2211yescharacteristic
147C4×(C2×D3)⋊C4C2211yescharacteristic
148#4933C2211yescharacteristic, complemented
149#4933C2211yescharacteristic, complemented
150#4676C2211yescharacteristic
151#4676C2211yescharacteristic
152#4675C2211yescharacteristic
153#4674C2211yescharacteristic, complemented
154#4673C2211yescharacteristic
155#4673C2211yescharacteristic
156#4672C2211yescharacteristic
157#4669C2211yescharacteristic
158#4669C2211yescharacteristic
159#4669C2211yescharacteristic
160#4669C2211yescharacteristic, complemented
161#4669C2211yescharacteristic, complemented
162#4668C2211yescharacteristic
163#4668C2211yescharacteristic
164#4668C2211yescharacteristic
165#4668C2211yescharacteristic
166#4668C2211yescharacteristic
167#4668C2211yescharacteristic
168#4668C2211yescharacteristic
169#4668C2211yescharacteristic
170#4668C2211yescharacteristic, complemented
171#4667C2211yescharacteristic, complemented
172#4665C2211yescharacteristic
173#4665C2211yescharacteristic
174#4665C2211yescharacteristic
175#4664C2211yescharacteristic, complemented
176#4661C2211yescharacteristic, complemented
177#4658C2211yescharacteristic, complemented
178#4657C2211yescharacteristic, complemented
179#4657C2211yescharacteristic, complemented
180#4656C2211yescharacteristic, complemented
181#4654C2211yescharacteristic, complemented
182#4654C2211yescharacteristic, complemented
183#4652C2211yescharacteristic, complemented
184#4652C2211yescharacteristic, complemented
185#4652C2211yescharacteristic, complemented
186#4651C2211yescharacteristic, complemented
187#4650C2211yescharacteristic, complemented
188#4647C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#525—31no—
191C2×#520—31no—
192#2609—31no—
193#2600—31no—
194#2599—31no—
195#2598—31no—
196#2580—31no—
197#2579—31no—
198#2476—31no—
199#2470—31no—
200#2465—31no—
201#2458—31no—
202#2456—31no—
203#2455—31no—
204#2449—31no—
205#2449—31no—
206#2443—31no—
207#2443—31no—
208#2438—31no—
209#2430—31no—
210#2424—31no—
211#2418—31no—
212#2411—31no—
213#2407—31no—
214#2406—31no—
215#2404—31no—
216#2325D311yescharacteristic, complemented
217#2322—31no—
218#2318—31no—
219C4×#120—31no—
220C2×#385—31no—
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
237C23×Dic3C2311yescharacteristic
238C23×Dic3C2311yescharacteristic
239C23×Dic3C2311yescharacteristic
240C23×Dic3C2311yescharacteristic
241C23×Dic3C2311yescharacteristic
242C2×#237—24no—
243C2×#237—24no—
244C2×#237—24no—
245C2×#235—24no—
246C2×#235—42no—
247C2×#235—42no—
248C22×D12C2311yescharacteristic
249C22×D12C2311yescharacteristic
250C22×C4×D3—24no—
251C22×C4×D3—42no—
252C22×C4×D3—42no—
253C22×C4×D3C2311yescharacteristic
254C22×C4×D3C2311yescharacteristic
255C22×C4×D3C2311yescharacteristic
256C22×C4×D3C2311yescharacteristic
257C22×C4×D3C2311yescharacteristic
258C22×C4×D3C2311yescharacteristic
259C22×C4×D3C2311yescharacteristic
260C22×Dic6C2311yescharacteristic
261C22×Dic6C2311yescharacteristic
262C3×#121—24no—
263C3×C4×D4—24no—
264C3×C4×D4—24no—
265C2×C3×C4⋊C4C2311yescharacteristic
266C2×C3×C4⋊C4C2311yescharacteristic
267C2×C3×C4⋊C4C2311yescharacteristic
268C2×C3×C4⋊C4C2311yescharacteristic
269C2×C3×C4⋊C4C2311yescharacteristic
270C2×C3×C22⋊C4C2311yescharacteristic
271C2×C3×C22⋊C4C2311yescharacteristic
272C2×C3×C22⋊C4C2311yescharacteristic
273C2×C3×C22⋊C4C2311yescharacteristic
274C2×C3×C22⋊C4C2311yescharacteristic
275C2×C3×C22⋊C4C2311yescharacteristic
276C2×C3×C22⋊C4C2311yescharacteristic
277C2×C3×C22⋊C4C2311yescharacteristic
278C2×C3×C22⋊C4C2311yescharacteristic
279C2×C3×C22⋊C4C2311yescharacteristic
280C2×C3×C42C2311yescharacteristic
281C2×C3×C42C2311yescharacteristic
282C2×#217C2311yescharacteristic
283C2×#217C2311yescharacteristic
284C2×#217C2311yescharacteristic
285C2×#217C2311yescharacteristic
286C2×#217C2311yescharacteristic
287C2×#217C2311yescharacteristic
288C2×#217C2311yescharacteristic
289C2×#217C2311yescharacteristic
290C2×#217C2311yescharacteristic
291C2×#217C2311yescharacteristic
292C2×#217C2311yescharacteristic
293#939—24no—
294#939—42no—
295#937—24no—
296#937—24no—
297#935—24no—
298D4×Dic3—24no—
299C4×#67—24no—
300C4×#67—24no—
301C4×#67—42no—
302C4×#67—42no—
303C4×#67D418yescomplemented
304C2×(C2×D3)⋊C4—24no—
305C2×(C2×D3)⋊C4—42no—
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×(C2×D3)⋊C4C2311yescharacteristic
327C2×(C2×D3)⋊C4C2311yescharacteristic
328C2×(C2×D3)⋊C4C2311yescharacteristic
329C2×(C2×D3)⋊C4C2311yescharacteristic
330C2×(C2×D3)⋊C4C2311yescharacteristic
331C2×C4⋊Dic3—42no—
332C2×C4⋊Dic3C2311yescharacteristic
333C2×C4⋊Dic3C2311yescharacteristic
334C2×C4⋊Dic3C2311yescharacteristic
335C2×C4⋊Dic3C2311yescharacteristic
336C2×C4⋊Dic3C2311yescharacteristic
337C2×C4⋊Dic3C2311yescharacteristic
338C2×Dic3⋊C4—24no—
339C2×Dic3⋊C4—24no—
340C2×Dic3⋊C4C2311yescharacteristic
341C2×Dic3⋊C4C2311yescharacteristic
342C2×Dic3⋊C4C2311yescharacteristic
343C2×Dic3⋊C4C2311yescharacteristic
344C2×Dic3⋊C4C2311yescharacteristic
345C2×Dic3⋊C4C2311yescharacteristic
346C2×Dic3⋊C4C2311yescharacteristic
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×C4×Dic3C2311yescharacteristic
362C2×C4×Dic3C2311yescharacteristic
363C2×C4×Dic3C2311yescharacteristic
364C2×C4×Dic3C2311yescharacteristic
365C2×C4×Dic3C2311yescharacteristic
366C2×C4×Dic3C2311yescharacteristic
367C2×C4×Dic3C2311yescharacteristic
368#896—24no—
369#894—24no—
370#894—42no—
371D3×C4⋊C4—24no—
372#887—24no—
373#884—24no—
374#883—24no—
375#883—42no—
376#882—24no—
377#67⋊C4—24no—
378#67⋊C4—24no—
379#878—24no—
380#878—42no—
381#877—24no—
382#877—24no—
383C4×D12—24no—
384#872—24no—
385#872—24no—
386C4×Dic6—24no—
387C3×#95C2311yescharacteristic
388C3×#95C2311yescharacteristic
389C3×#95C2311yescharacteristic
390C3×#95C2311yescharacteristic
391C3×#95C2311yescharacteristic
392C3×#95C2311yescharacteristic
393C3×#95C2311yescharacteristic
394C3×#95C2311yescharacteristic
395C3×#95C2311yescharacteristic
396C3×#95C2311yescharacteristic
397C3⋊#95C2311yescharacteristic
398C3⋊#95C2311yescharacteristic
399C3⋊#95C2311yescharacteristic
400C3⋊#95C2311yescharacteristic
401C3⋊#95C2311yescharacteristic
402C3⋊#95C2311yescharacteristic
403C3⋊#95C2311yescharacteristic
404C3⋊#95C2311yescharacteristic
405C3⋊#95C2311yescharacteristic
406C3⋊#95C2311yescharacteristic
407C3⋊#95C2311yescharacteristic
408C3⋊#95C2311yescharacteristic
409C3⋊#95C2311yescharacteristic
410C3⋊#95C2311yescharacteristic
411C3⋊#95C2311yescharacteristic
412C3⋊#95C2311yescharacteristic
413C3⋊#95C2311yescharacteristic
414C3⋊#95C2311yescharacteristic
415C3⋊#95C2311yescharacteristic
416C3⋊#95C2311yescharacteristic
417C3⋊#95C2311yescharacteristic
418C3⋊#95C2311yescharacteristic
419C3⋊#95C2311yescharacteristic
420C3⋊#95C2311yescharacteristic
421C3⋊#95C2311yescharacteristic
422C3⋊#95C2311yescharacteristic
423C22×#41—31no—
424C22×#41—31no—
425C24×C4—31no—
426#525—68no—
427C2×#123—31no—
428C2×#123—31no—
429C2×#123—31no—
430C2×#123—31no—
431C2×#123—31no—
432C2×C22⋊Q8—31no—
433C2×C22⋊Q8—31no—
434C2×C22⋊Q8—31no—
435C2×#121—31no—
436C2×#121—31no—
437C2×#121—31no—
438C2×#121C2×D311yescharacteristic
439C2×#120—31no—
440C2×#120—31no—
441C2×#120—31no—
442#520—68no—
443C2×C4×Q8—31no—
444C2×C4×Q8—31no—
445C2×C4×D4—31no—
446C2×C4×D4—31no—
447C2×C4×D4—31no—
448C2×C4×D4—31no—
449C2×C4×D4—31no—
450C2×C4×D4—31no—
451C2×C4×D4—31no—
452C2×C4×D4—31no—
453C2×C4×D4—31no—
454C2×C4×D4C2×D311yescharacteristic
455C2×C4×D4C2×D311yescharacteristic
456C2×#117—31no—
457C2×#117—31no—
458C2×#117—31no—
459C2×#117—31no—
460C22×C4⋊C4—31no—
461C22×C4⋊C4—31no—
462C22×C4⋊C4—31no—
463C22×C4⋊C4—31no—
464C22×C22⋊C4—31no—
465C22×C22⋊C4—31no—
466#400—31no—
467#399—31no—
468#399—31no—
469#399—31no—
470#398—31no—
471#398—31no—
472#398—31no—
473#398—31no—
474#397—31no—
475#397—31no—
476#396—31no—
477#396—31no—
478#396—31no—
479#396—31no—
480#395—31no—
481#395—31no—
482#395—31no—
483#394—31no—
484#394—31no—
485#394—31no—
486#394—31no—
487#394—31no—
488#394—31no—
489#394—31no—
490#394—31no—
491#393—31no—
492#393—31no—
493#393—31no—
494#392—31no—
495#392—31no—
496#392—31no—
497#392—31no—
498#391—31no—
499#390—31no—
500#390—31no—
501#390—31no—
502#389—31no—
503#389—31no—
504#389—31no—
505#389—31no—
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#388C2×D311yescharacteristic, complemented
517#388C2×D311yescharacteristic, complemented
518#387—31no—
519#387—31no—
520#387—31no—
521#387—31no—
522#387—31no—
523#387—31no—
524#387—31no—
525#387—31no—
526#387C2×D311yescharacteristic, complemented
527#387C2×D311yescharacteristic, complemented
528#386—31no—
529#386—31no—
530#386—31no—
531#386—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#386C2×D311yescharacteristic
543#386C2×D311yescharacteristic
544#386C2×D311yescharacteristic, complemented
545#386C2×D311yescharacteristic, complemented
546#385—31no—
547#385—31no—
548#385—31no—
549#385—31no—
550#385—31no—
551#385—31no—
552#385—31no—
553#385—31no—
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#385—31no—
563#385—31no—
564#385—31no—
565#385—31no—
566#385C2×D311yescharacteristic, complemented
567#385C2×D311yescharacteristic, complemented
568#383—31no—
569#382—31no—
570#381—31no—
571#381—31no—
572#380—31no—
573#380C2×D311yescharacteristic
574#379—31no—
575C4×C22⋊C4—31no—
576C4×C22⋊C4—31no—
577C4×C22⋊C4—31no—
578C2×#95—31no—
579C2×#95C2×D311yescharacteristic
580C24×C3C2411yescharacteristic
581C24×C3C2411yescharacteristic
582C24×C3C2411yescharacteristic
583C23×D3—22no—
584C23×D3—22no—
585C23×D3—22no—
586C23×D3—22no—
587C23×D3—22no—
588C23×D3—41no—
589C23×D3—41no—
590C23×D3C2411yescharacteristic
591C23×D3C2411yescharacteristic
592C23×D3C2411yescharacteristic
593C2×C3×D4—22no—
594C2×C3×D4—22no—
595C2×C3×D4—22no—
596C2×C3×D4—22no—
597C2×C3×D4—22no—
598C2×C3×D4—22no—
599C2×C3×D4—41no—
600C2×C3×D4—41no—
601C2×C3×D4#4114yescomplemented
602C22×C3×C4—22no—
603C22×C3×C4—22no—
604C22×C3×C4—22no—
605C22×C3×C4—22no—
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×C4—41no—
615C22×C3×C4—41no—
616C22×C3×C4C2×D414yes—
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
627C22×C3×C4C2411yescharacteristic
628C22×C3×C4C2411yescharacteristic
629C2×#67—22no—
630C2×#67—22no—
631C2×#67—22no—
632C2×#67—22no—
633C2×#67—22no—
634C2×#67—22no—
635C2×#67—22no—
636C2×#67—22no—
637C2×#67—22no—
638C2×#67—22no—
639C2×#67—22no—
640C2×#67—22no—
641C2×#67—22no—
642C2×#67—22no—
643C2×#67—22no—
644C2×#67—41no—
645C2×#67—41no—
646C2×#67—41no—
647C2×#67—41no—
648C2×#67—41no—
649C2×#67C2×D414yes—
650C22×Dic3—22no—
651C22×Dic3—22no—
652C22×Dic3—22no—
653C22×Dic3—22no—
654C22×Dic3—22no—
655C22×Dic3—22no—
656C22×Dic3—22no—
657C22×Dic3—22no—
658C22×Dic3—22no—
659C22×Dic3—41no—
660C22×Dic3—41no—
661C22×Dic3—41no—
662C22×Dic3—41no—
663C22×Dic3—41no—
664C22×Dic3#4114yescomplemented
665C22×Dic3C2411yescharacteristic
666C22×Dic3C2411yescharacteristic
667C22×Dic3C2411yescharacteristic
668C22×Dic3C2411yescharacteristic
669C22×Dic3C2411yescharacteristic
670C22×Dic3C2411yescharacteristic
671C22×Dic3C2411yescharacteristic
672C22×Dic3C2411yescharacteristic
673C22×Dic3C2411yescharacteristic
674C22×Dic3C2411yescharacteristic
675C22×Dic3C2411yescharacteristic
676C22×Dic3C2411yescharacteristic
677C22×Dic3C2411yescharacteristic
678#237—232no—
679#235—416no—
680C2×D12—22no—
681C2×D12—22no—
682C2×D12—22no—
683C2×D12—22no—
684C2×D12—41no—
685C2×D12—41no—
686C2×C4×D3—22no—
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—22no—
695C2×C4×D3—22no—
696C2×C4×D3—22no—
697C2×C4×D3—22no—
698C2×C4×D3—416no—
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×C4×D3—41no—
706C2×C4×D3—41no—
707C2×C4×D3C2×D414yes—
708C2×Dic6—22no—
709C2×Dic6—22no—
710C2×Dic6—22no—
711C2×Dic6—22no—
712C2×Dic6—22no—
713C2×Dic6—41no—
714C3×C4⋊C4—22no—
715C3×C4⋊C4—22no—
716C3×C4⋊C4—22no—
717C3×C4⋊C4—41no—
718C3×C4⋊C4—41no—
719C3×C22⋊C4—22no—
720C3×C22⋊C4—22no—
721C3×C22⋊C4—22no—
722C3×C22⋊C4—22no—
723C3×C22⋊C4—22no—
724C3×C22⋊C4—22no—
725C3×C22⋊C4—41no—
726C3×C22⋊C4—41no—
727C3×C22⋊C4—41no—
728C3×C22⋊C4—41no—
729C3×C42—22no—
730C3×C42—22no—
731#217—22no—
732#217—22no—
733#217—22no—
734#217—22no—
735#217—22no—
736#217—22no—
737#217—22no—
738#217—41no—
739#217—41no—
740#217—41no—
741#217C2×D414yes—
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—41no—
759(C2×D3)⋊C4—41no—
760(C2×D3)⋊C4—41no—
761(C2×D3)⋊C4—41no—
762(C2×D3)⋊C4—41no—
763(C2×D3)⋊C4—41no—
764(C2×D3)⋊C4—41no—
765(C2×D3)⋊C4—41no—
766(C2×D3)⋊C4C2×D414yes—
767C4⋊Dic3—22no—
768C4⋊Dic3—22no—
769C4⋊Dic3—22no—
770C4⋊Dic3—22no—
771C4⋊Dic3—41no—
772C4⋊Dic3—41no—
773Dic3⋊C4—22no—
774Dic3⋊C4—22no—
775Dic3⋊C4—22no—
776Dic3⋊C4—22no—
777Dic3⋊C4—22no—
778Dic3⋊C4—22no—
779Dic3⋊C4—22no—
780Dic3⋊C4—22no—
781Dic3⋊C4—22no—
782Dic3⋊C4—22no—
783Dic3⋊C4—22no—
784Dic3⋊C4—22no—
785Dic3⋊C4—22no—
786Dic3⋊C4—41no—
787Dic3⋊C4—41no—
788Dic3⋊C4—41no—
789Dic3⋊C4—41no—
790Dic3⋊C4—41no—
791Dic3⋊C4—41no—
792Dic3⋊C4—41no—
793Dic3⋊C4C2×D414yes—
794C4×Dic3—22no—
795C4×Dic3—22no—
796C4×Dic3—22no—
797C4×Dic3—22no—
798C4×Dic3—41no—
799C4×Dic3—41no—
800C4×Dic3C2×D414yes—
801C25—31no—
802C2×#41—64no—
803C2×#41—64no—
804C2×#41—64no—
805C2×#41—64no—
806C2×#41—122no—
807C2×#41—122no—
808C22×Q8—31no—
809C22×Q8—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×D4—31no—
819C22×D4C22×D311yescharacteristic
820C22×D4C22×D311yescharacteristic
821C22×D4C22×D311yescharacteristic
822C23×C4—31no—
823C23×C4—31no—
824C23×C4—31no—
825C23×C4—31no—
826C23×C4—31no—
827C23×C4—31no—
828C23×C4—31no—
829C23×C4—31no—
830C23×C4—31no—
831C23×C4—31no—
832C23×C4—31no—
833C23×C4—31no—
834C23×C4—64no—
835C23×C4—122no—
836C23×C4—122no—
837C23×C4C22×D311yescharacteristic
838C23×C4C22×D311yescharacteristic
839C23×C4C22×D311yescharacteristic
840C23×C4C22×D311yescharacteristic
841C23×C4C22×D311yescharacteristic
842#123—64no—
843#123—64no—
844#123—64no—
845#123—122no—
846#123—122no—
847C22⋊Q8—64no—
848C22⋊Q8—64no—
849C22⋊Q8—122no—
850#121—24no—
851#121—64no—
852#121—64no—
853#121—122no—
854#120—64no—
855#120—64no—
856#120—64no—
857C4×Q8—64no—
858C4×Q8—64no—
859C4×D4—24no—
860C4×D4—24no—
861C4×D4—38no—
862C4×D4—64no—
863C4×D4—64no—
864C4×D4—64no—
865C4×D4—64no—
866C4×D4—64no—
867C4×D4—64no—
868C4×D4—122no—
869C4×D4—122no—
870#117—64no—
871#117—64no—
872#117—64no—
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⋊C4—31no—
899C2×C4⋊C4—31no—
900C2×C4⋊C4—31no—
901C2×C4⋊C4—64no—
902C2×C4⋊C4—64no—
903C2×C4⋊C4—64no—
904C2×C4⋊C4—122no—
905C2×C4⋊C4C22×D311yescharacteristic
906C2×C4⋊C4C22×D311yescharacteristic
907C2×C4⋊C4C22×D311yescharacteristic
908C2×C4⋊C4C22×D311yescharacteristic
909C2×C4⋊C4C22×D311yescharacteristic
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—64no—
947C2×C22⋊C4—122no—
948C2×C22⋊C4C22×D311yescharacteristic
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×C42—31no—
959C2×C42—31no—
960C2×C42—31no—
961C2×C42—31no—
962C2×C42—31no—
963C2×C42—31no—
964C2×C42—31no—
965C2×C42C22×D311yescharacteristic
966C2×C42C22×D311yescharacteristic
967#95—31no—
968#95—31no—
969#95—31no—
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#95C22×D311yescharacteristic
994#95C22×D311yescharacteristic
995#95C22×D311yescharacteristic
996#95C22×D311yescharacteristic
997#95C22×D311yescharacteristic
998#95C22×D311yescharacteristic
999#95C22×D311yescharacteristic
1000#95C22×D311yescharacteristic
1001#95C22×D311yescharacteristic
1002#95C22×D311yescharacteristic
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×C3—21no—
1020C23×C3C22×D412yes—
1021C23×C3C2×#4112yes—
1022C23×C3C2×#4112yes—
1023C23×C3C2×#4112yes—
1024C23×C3C2511yescharacteristic
1025C22×D3—28no—
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—44no—
1045C22×D3—44no—
1046C22×D3—44no—
1047C22×D3—44no—
1048C22×D3—44no—
1049C22×D3—44no—
1050C22×D3C22×D412yes—
1051C22×D3H(5,𝔽2)12yes—
1052C22×D32−1+412yes—
1053C3×D4—28no—
1054C3×D4—44no—
1055C3×D4—82no—
1056C2×C3×C4—21no—
1057C2×C3×C4—21no—
1058C2×C3×C4—21no—
1059C2×C3×C4—21no—
1060C2×C3×C4—21no—
1061C2×C3×C4—21no—
1062C2×C3×C4—21no—
1063C2×C3×C4—21no—
1064C2×C3×C4—21no—
1065C2×C3×C4—21no—
1066C2×C3×C4—21no—
1067C2×C3×C4—21no—
1068C2×C3×C4—21no—
1069C2×C3×C4—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—44no—
1090C2×C3×C4—44no—
1091C2×C3×C4—44no—
1092C2×C3×C4—82no—
1093C2×C3×C4—82no—
1094C2×C3×C4C22×D412yes—
1095C2×C3×C4C22×D412yes—
1096C2×C3×C4C2×#4112yes—
1097#67—28no—
1098#67—28no—
1099#67—44no—
1100#67—44no—
1101#67—44no—
1102#67—44no—
1103#67—44no—
1104C2×Dic3—28no—
1105C2×Dic3—28no—
1106C2×Dic3—21no—
1107C2×Dic3—21no—
1108C2×Dic3—21no—
1109C2×Dic3—21no—
1110C2×Dic3—21no—
1111C2×Dic3—21no—
1112C2×Dic3—21no—
1113C2×Dic3—21no—
1114C2×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—44no—
1140C2×Dic3—82no—
1141C2×Dic3—82no—
1142C2×Dic3C22×D412yes—
1143C2×Dic3C22×D412yes—
1144C2×Dic3C22×D412yes—
1145C2×Dic3C2×#4112yes—
1146C2×Dic3C2×#4112yes—
1147C2×Dic3H(5,𝔽2)12yes—
1148D12—44no—
1149D12—44no—
1150C4×D3—28no—
1151C4×D3—28no—
1152C4×D3—44no—
1153C4×D3—44no—
1154C4×D3—44no—
1155C4×D3—44no—
1156C4×D3—82no—
1157Dic6—28no—
1158Dic6—44no—
1159C24—31no—
1160C24—31no—
1161C24—31no—
1162C24—62no—
1163C24—62no—
1164C24—62no—
1165C24—62no—
1166C24—62no—
1167C24—121no—
1168C24—121no—
1169C24C23×D311yescharacteristic
1170C24C23×D311yescharacteristic
1171C24C23×D311yescharacteristic
1172#41—632no—
1173#41—1216no—
1174C2×Q8—62no—
1175C2×Q8—62no—
1176C2×Q8—62no—
1177C2×Q8—62no—
1178C2×Q8—62no—
1179C2×Q8—121no—
1180C2×D4—22no—
1181C2×D4—22no—
1182C2×D4—22no—
1183C2×D4—22no—
1184C2×D4—22no—
1185C2×D4—22no—
1186C2×D4—34no—
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—62no—
1203C2×D4—62no—
1204C2×D4—62no—
1205C2×D4—62no—
1206C2×D4—62no—
1207C2×D4—62no—
1208C2×D4—121no—
1209C2×D4—121no—
1210C2×D4—121no—
1211C2×D4—121no—
1212C2×D4—121no—
1213C2×D4—121no—
1214C2×D4—121no—
1215C2×D4#23514yescomplemented
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—34no—
1221C22×C4—31no—
1222C22×C4—31no—
1223C22×C4—31no—
1224C22×C4—31no—
1225C22×C4—31no—
1226C22×C4—31no—
1227C22×C4—34no—
1228C22×C4—31no—
1229C22×C4—31no—
1230C22×C4—31no—
1231C22×C4—31no—
1232C22×C4—31no—
1233C22×C4—31no—
1234C22×C4—31no—
1235C22×C4—41no—
1236C22×C4—41no—
1237C22×C4—41no—
1238C22×C4—41no—
1239C22×C4—41no—
1240C22×C4—41no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4—41no—
1245C22×C4—62no—
1246C22×C4—62no—
1247C22×C4—62no—
1248C22×C4—62no—
1249C22×C4—62no—
1250C22×C4—62no—
1251C22×C4—62no—
1252C22×C4—62no—
1253C22×C4—62no—
1254C22×C4—62no—
1255C22×C4—62no—
1256C22×C4—62no—
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—62no—
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—1216no—
1275C22×C4—121no—
1276C22×C4—121no—
1277C22×C4—121no—
1278C22×C4—121no—
1279C22×C4—121no—
1280C22×C4D3×D414yes—
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
1291C22×C4C23×D311yescharacteristic
1292C22×C4C23×D311yescharacteristic
1293C4⋊C4—22no—
1294C4⋊C4—22no—
1295C4⋊C4—22no—
1296C4⋊C4—34no—
1297C4⋊C4—41no—
1298C4⋊C4—41no—
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—62no—
1312C4⋊C4—62no—
1313C4⋊C4—62no—
1314C4⋊C4—62no—
1315C4⋊C4—62no—
1316C4⋊C4—121no—
1317C4⋊C4—121no—
1318C4⋊C4—121no—
1319C4⋊C4—121no—
1320C4⋊C4—121no—
1321C4⋊C4—121no—
1322C4⋊C4—121no—
1323C4⋊C4—121no—
1324C4⋊C4—121no—
1325C22⋊C4—22no—
1326C22⋊C4—22no—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—34no—
1332C22⋊C4—34no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
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—62no—
1358C22⋊C4—62no—
1359C22⋊C4—62no—
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—
1371C42—22no—
1372C42—22no—
1373C42—34no—
1374C42—62no—
1375C42—62no—
1376C42—62no—
1377C42—62no—
1378C42—121no—
1379C42—121no—
1380C22×C3—22no—
1381C22×C3—22no—
1382C22×C3—22no—
1383C22×C3—22no—
1384C22×C3—22no—
1385C22×C3—22no—
1386C22×C3—22no—
1387C22×C3—22no—
1388C22×C3—22no—
1389C22×C3—41no—
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#52514yes—
1401C22×C3C23×D411yescharacteristic
1402C22×C3C22×#4111yescharacteristic
1403C22×C3C22×#4111yescharacteristic
1404C22×C3C2×H(5,𝔽2)11yescharacteristic
1405C22×C3C2×H(5,𝔽2)11yescharacteristic
1406C22×C3C2×2−1+411yescharacteristic
1407C22×C3#58511yescharacteristic
1408C2×D3—22no—
1409C2×D3—22no—
1410C2×D3—22no—
1411C2×D3—22no—
1412C2×D3—22no—
1413C2×D3—22no—
1414C2×D3—22no—
1415C2×D3—22no—
1416C2×D3—22no—
1417C2×D3—416no—
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—
1430C3×C4—22no—
1431C3×C4—22no—
1432C3×C4—22no—
1433C3×C4—41no—
1434C3×C4—41no—
1435C3×C4—41no—
1436C3×C4—41no—
1437C3×C4—41no—
1438C3×C4—41no—
1439C3×C4—41no—
1440C3×C4—41no—
1441C3×C4—41no—
1442Dic3—22no—
1443Dic3—22no—
1444Dic3—22no—
1445Dic3—22no—
1446Dic3—22no—
1447Dic3—22no—
1448Dic3—41no—
1449Dic3—41no—
1450Dic3—41no—
1451Dic3—41no—
1452Dic3—41no—
1453Dic3—41no—
1454Dic3—41no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—32no—
1473C23—32no—
1474C23—32no—
1475C23—68no—
1476C23—61no—
1477C23—61no—
1478C23—61no—
1479C23—61no—
1480C23—61no—
1481C23—61no—
1482C23—61no—
1483C23—61no—
1484C23—61no—
1485C23—61no—
1486C23—61no—
1487C23—61no—
1488C23—61no—
1489C23—61no—
1490C23—61no—
1491C23—61no—
1492C23—61no—
1493C23—61no—
1494C23—124no—
1495C23—124no—
1496C23—124no—
1497C23—124no—
1498C23—124no—
1499C23—124no—
1500C23C2×#23512yes—
1501C23C2×#23512yes—
1502C23C2×D3×D412yes—
1503C23D3×#4112yes—
1504C23C24×D311yescharacteristic
1505Q8—68no—
1506Q8—124no—
1507D4—28no—
1508D4—44no—
1509D4—68no—
1510D4—68no—
1511D4—82no—
1512D4—124no—
1513D4—124no—
1514D4—124no—
1515D4—124no—
1516D4—124no—
1517D4—124no—
1518D4—124no—
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—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—32no—
1553C2×C4—32no—
1554C2×C4—32no—
1555C2×C4—32no—
1556C2×C4—32no—
1557C2×C4—32no—
1558C2×C4—44no—
1559C2×C4—44no—
1560C2×C4—44no—
1561C2×C4—68no—
1562C2×C4—68no—
1563C2×C4—68no—
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—68no—
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—82no—
1599C2×C4—82no—
1600C2×C4—124no—
1601C2×C4—124no—
1602C2×C4—124no—
1603C2×C4—124no—
1604C2×C4—124no—
1605C2×C4—242no—
1606C2×C4—242no—
1607C2×C4—242no—
1608C2×C4C2×#23512yes—
1609C2×C4C2×D3×D412yes—
1610C2×C4C2×D3×D412yes—
1611C2×C3—24no—
1612C2×C3—42no—
1613C2×C3—81no—
1614C2×C3C2×#52511yescharacteristic
1615C2×C3#348411yescharacteristic
1616C2×C3#348911yescharacteristic
1617C2×C3#349211yescharacteristic
1618C2×C3#350611yescharacteristic
1619C2×C3#351311yescharacteristic
1620C2×C3#352011yescharacteristic
1621D3—42no—
1622D3—42no—
1623D3—42no—
1624C22—22no—
1625C22—22no—
1626C22—22no—
1627C22—22no—
1628C22—22no—
1629C22—22no—
1630C22—22no—
1631C22—22no—
1632C22—22no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—62no—
1645C22—62no—
1646C22—62no—
1647C22—62no—
1648C22—62no—
1649C22—62no—
1650C22—62no—
1651C22—62no—
1652C22—62no—
1653C22—1216no—
1654C22—121no—
1655C22—121no—
1656C22—121no—
1657C22—121no—
1658C22—121no—
1659C22—121no—
1660C22—121no—
1661C22—121no—
1662C22—121no—
1663C22—121no—
1664C22—121no—
1665C22—121no—
1666C22#554714yes—
1667C22C22×#23511yescharacteristic
1668C22C22×D3×D411yescharacteristic
1669C22C2×D3×#4111yescharacteristic
1670C22D3×H(5,𝔽2)11yescharacteristic
1671C22D3×H(5,𝔽2)11yescharacteristic
1672C22#596611yescharacteristic
1673C22D3×2−1+411yescharacteristic
1674C4—22no—
1675C4—22no—
1676C4—22no—
1677C4—41no—
1678C4—41no—
1679C4—41no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—62no—
1687C4—62no—
1688C4—62no—
1689C4—62no—
1690C4—62no—
1691C4—62no—
1692C4—121no—
1693C4—121no—
1694C4—121no—
1695C4—121no—
1696C4—121no—
1697C4—121no—
1698C4—121no—
1699C3#3535311yescharacteristic, complemented, Sylow
1700C2—24no—
1701C2—42no—
1702C2—81no—
1703C2—122no—
1704C2—122no—
1705C2—122no—
1706C2C2×#554711yescharacteristic
1707C2#8587011yescharacteristic
1708C2#8590711yescharacteristic
1709C2#8630811yescharacteristic
1710C2#8638011yescharacteristic
1711C2#8639111yescharacteristic
1712C2#8643011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2325C2
hypercenter#2325D3
hypocenterC3#35353
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2325

Complements

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

NH ≅ G/Ntype
1. C2×#5547C2semidirect
2. C2×#5546C2semidirect
3. C3×#2325C2semidirect
4. #82706C2semidirect
5. #82651C2semidirect
6. C4×#937C2semidirect
7. #82326C2semidirect
8. #75899C2semidirect
9. #75896C2semidirect
10. #75862C2semidirect
11. #75853C2semidirect
12. #75371C2semidirect
13. #75370C2semidirect
14. #75331C2semidirect
15. #75328C2semidirect
16. #74899C2semidirect
17. #74889C2semidirect
18. #74885C2semidirect
19. #74776C2semidirect
20. #74710C2semidirect
21. #74704C2semidirect
22. #74702C2semidirect
23. #74688C2semidirect
24. #74612C2semidirect
25. #74600C2semidirect
26. #74487C2semidirect
27. #74421C2semidirect
28. #74021C2semidirect
29. #73897C2semidirect
30. #73367C2semidirect
31. C2×#4668C2semidirect
49. C2×C4×#67C22semidirect
54. C22×Dic3⋊C4C22semidirect
60. C2×D3×C4⋊C4C22semidirect
61. C2×#887C22semidirect
64. C2×#883C22semidirect
67. C2×#67⋊C4C22semidirect
69. C2×#878C22semidirect
71. C2×#877C22semidirect
74. C2×#872C22semidirect
75. C2×C4×Dic6C22semidirect
76. C3×#388C22semidirect
77. C3×#388C22semidirect
78. C3×#387C22semidirect
79. C3×#387C22semidirect
82. C3×#386C22semidirect
83. C3×#386C22semidirect
84. C3×#385C22semidirect
85. C3×#385C22semidirect
89. #5223C22semidirect
92. #5220C22semidirect
97. #5210C22semidirect
98. #5210C22semidirect
108. #4989C22semidirect
109. #4983C22semidirect
110. #4980C22semidirect
111. #4979C22semidirect
112. #4979C22semidirect
113. #4976C22semidirect
114. #4976C22semidirect
115. #4976C22semidirect
117. #4961C22semidirect
123. #4959C22semidirect
132. #4956C22semidirect
134. #4951C22semidirect
135. #4950C22semidirect
136. #4949C22semidirect
137. #4949C22semidirect
138. #4948C22semidirect
139. #4947C22semidirect
142. #4946C22semidirect
143. #4945C22semidirect
144. #4945C22semidirect
148. #4933C22semidirect
149. #4933C22semidirect
153. #4674C22semidirect
160. #4669C22semidirect
161. #4669C22semidirect
170. #4668C22semidirect
171. #4667C22semidirect
175. #4664C22semidirect
176. #4661C22semidirect
177. #4658C22semidirect
178. #4657C22semidirect
179. #4657C22semidirect
180. #4656C22semidirect
181. #4654C22semidirect
182. #4654C22semidirect
183. #4652C22semidirect
184. #4652C22semidirect
185. #4652C22semidirect
186. #4651C22semidirect
187. #4650C22semidirect
188. #4647C22semidirect
189. #4646C22semidirect
216. #2325D3semidirect
303. C4×#67D4semidirect
516. #388C2×D3semidirect
517. #388C2×D3semidirect
526. #387C2×D3semidirect
527. #387C2×D3semidirect
544. #386C2×D3semidirect
545. #386C2×D3semidirect
566. #385C2×D3semidirect
567. #385C2×D3semidirect
601. C2×C3×D4#41semidirect
664. C22×Dic3#41semidirect
1215. C2×D4#235semidirect
1699. C3#35353semidirect

Maximal subgroups

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

subgroupindex
C2×#55472
C2×#55462
C3×#23252
#827062
#826512
C4×#9372
#823262
#758992
#758962
#758622
#758532
#753712
#753702
#753312
#753282
#748992
#748892
#748852
#747762
#747102
#747042
#747022
#746882
#746122
#746002
#744872
#744212
#740212
#738972
#733672
C2×#46682
#353533