Finite Group Databasebeta

← #11634022

Subgroups — #11634022

Order 768.

2936 conjugacy classes of subgroups.

The subgroup lattice has 1854 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5547C211yesmaximal, characteristic, complemented
2C2×#5527C211yesmaximal, characteristic, complemented
3C3×#2363C211yesmaximal, characteristic, complemented
4#82702C211yesmaximal, characteristic, complemented
5#82683C211yesmaximal, characteristic, complemented
6#82411C211yesmaximal, characteristic, complemented
7#82279C211yesmaximal, characteristic, complemented
8#76454C211yesmaximal, characteristic, complemented
9#76454C211yesmaximal, characteristic, complemented
10#76446C211yesmaximal, characteristic, complemented
11#76401C211yesmaximal, characteristic, complemented
12#76396C211yesmaximal, characteristic, complemented
13#76314C211yesmaximal, characteristic, complemented
14#76217C211yesmaximal, characteristic, complemented
15#76027C211yesmaximal, characteristic, complemented
16#75883C211yesmaximal, characteristic, complemented
17#75882C211yesmaximal, characteristic, complemented
18#75842C211yesmaximal, characteristic, complemented
19#75708C211yesmaximal, characteristic, complemented
20#74894C211yesmaximal, characteristic, complemented
21D3×#386C211yesmaximal, characteristic, complemented
22#74688C211yesmaximal, characteristic, complemented
23#74679C211yesmaximal, characteristic, complemented
24#73780C211yesmaximal, characteristic, complemented
25#73775C211yesmaximal, characteristic, complemented
26#73586C211yesmaximal, characteristic, complemented
27#73578C211yesmaximal, characteristic, complemented
28#73577C211yesmaximal, characteristic, complemented
29C4×#882C211yesmaximal, characteristic, complemented
30#73500C211yesmaximal, characteristic, complemented
31#73499C211yesmaximal, characteristic, complemented
32#59045—31nomaximal, Sylow
33C22×D3×D4C2211yescharacteristic
34C22×#235C2211yescharacteristic, complemented
35C23×C4×D3C2211yescharacteristic
36C2×C3×#121C2211yescharacteristic
37C2×C3×C4×D4C2211yescharacteristic, complemented
38C2×C3×#117C2211yescharacteristic, complemented
39C2×#940C2211yescharacteristic
40C2×#939C2211yescharacteristic
41C2×#939C2211yescharacteristic, complemented
42C2×#937C2211yescharacteristic
43C2×#937C2211yescharacteristic
44C2×#930C2211yescharacteristic, complemented
45C2×#929C2211yescharacteristic, complemented
46C2×C4×#67C2211yescharacteristic
47C2×C4×#67C2211yescharacteristic, complemented
48C2×C4×#67C2211yescharacteristic, complemented
49C22×(C2×D3)⋊C4C2211yescharacteristic
50#5547—28no—
51#5527—28no—
52C2×#898C2211yescharacteristic, complemented
53C2×#896C2211yescharacteristic
54C2×#895C2211yescharacteristic
55C2×#894C2211yescharacteristic
56C2×#894C2211yescharacteristic
57C2×#894C2211yescharacteristic, complemented
58C2×#894C2211yescharacteristic, complemented
59C2×#884C2211yescharacteristic
60C2×#884C2211yescharacteristic
61C2×#883C2211yescharacteristic
62C2×#883C2211yescharacteristic, complemented
63C2×#882C2211yescharacteristic
64C2×#882C2211yescharacteristic
65C2×#882C2211yescharacteristic
66C2×#882C2211yescharacteristic
67C2×#67⋊C4C2211yescharacteristic, complemented
68C2×#67⋊C4C2211yescharacteristic, complemented
69C2×D3×C22⋊C4C2211yescharacteristic
70C2×D3×C22⋊C4C2211yescharacteristic
71C2×D3×C22⋊C4C2211yescharacteristic
72C2×#878C2211yescharacteristic, complemented
73C2×#878C2211yescharacteristic, complemented
74C2×#876C2211yescharacteristic, complemented
75C2×#875C2211yescharacteristic, complemented
76C2×#874C2211yescharacteristic
77C2×C4×D12C2211yescharacteristic
78C2×C4×D12C2211yescharacteristic
79C2×C4×D12C2211yescharacteristic, complemented
80C2×#872C2211yescharacteristic
81C2×#872C2211yescharacteristic, complemented
82C3×#390C2211yescharacteristic
83C3×#390C2211yescharacteristic, complemented
84C3×#390C2211yescharacteristic, complemented
85C3×#389C2211yescharacteristic, complemented
86C3×#388C2211yescharacteristic, complemented
87C3×#388C2211yescharacteristic, complemented
88C3×#386C2211yescharacteristic
89C3×#386C2211yescharacteristic, complemented
90C3×C4×C4⋊C4C2211yescharacteristic, complemented
91C3×C4×C22⋊C4C2211yescharacteristic, complemented
92C3×C4×C22⋊C4C2211yescharacteristic, complemented
93C3×C4×C22⋊C4C2211yescharacteristic, complemented
94#5223C2211yescharacteristic
95#5223C2211yescharacteristic, complemented
96#5223C2211yescharacteristic, complemented
97#5223C2211yescharacteristic, complemented
98#5220C2211yescharacteristic
99#5220C2211yescharacteristic
100#5213C2211yescharacteristic
101#5213C2211yescharacteristic
102#5213C2211yescharacteristic, complemented
103#5210C2211yescharacteristic, complemented
104#4994C2211yescharacteristic, complemented
105#4993C2211yescharacteristic, complemented
106#4993C2211yescharacteristic, complemented
107#4992C2211yescharacteristic, complemented
108#4991C2211yescharacteristic
109#4991C2211yescharacteristic, complemented
110#4990C2211yescharacteristic, complemented
111#4989C2211yescharacteristic
112#4988C2211yescharacteristic
113#4982C2211yescharacteristic, complemented
114#4982C2211yescharacteristic, complemented
115#4980C2211yescharacteristic, complemented
116#4978C2211yescharacteristic, complemented
117#4961C2211yescharacteristic, complemented
118#4960C2211yescharacteristic
119#4960C2211yescharacteristic
120#4960C2211yescharacteristic
121#4960C2211yescharacteristic
122#4960C2211yescharacteristic
123#4960C2211yescharacteristic, complemented
124#4960C2211yescharacteristic, complemented
125#4960C2211yescharacteristic, complemented
126#4959C2211yescharacteristic
127#4959C2211yescharacteristic, complemented
128#4959C2211yescharacteristic, complemented
129#4958C2211yescharacteristic
130#4958C2211yescharacteristic, complemented
131#4957C2211yescharacteristic, complemented
132#4957C2211yescharacteristic, complemented
133#4957C2211yescharacteristic, complemented
134#4957C2211yescharacteristic, complemented
135#4957C2211yescharacteristic, complemented
136#4957C2211yescharacteristic, complemented
137#4956C2211yescharacteristic
138#4956C2211yescharacteristic
139#4956C2211yescharacteristic
140#4956C2211yescharacteristic, complemented
141#4955C2211yescharacteristic
142#4951C2211yescharacteristic, complemented
143#4950C2211yescharacteristic, complemented
144#4950C2211yescharacteristic, complemented
145#4949C2211yescharacteristic, complemented
146#4949C2211yescharacteristic, complemented
147#4948C2211yescharacteristic, complemented
148#4948C2211yescharacteristic, complemented
149#4944C2211yescharacteristic, complemented
150#4940C2211yescharacteristic, complemented
151#4940C2211yescharacteristic, complemented
152#4940C2211yescharacteristic, complemented
153#4939C2211yescharacteristic, complemented
154#4939C2211yescharacteristic, complemented
155#4939C2211yescharacteristic, complemented
156#4939C2211yescharacteristic, complemented
157C4×(C2×D3)⋊C4C2211yescharacteristic
158C4×(C2×D3)⋊C4C2211yescharacteristic
159C4×(C2×D3)⋊C4C2211yescharacteristic
160C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
161#4933C2211yescharacteristic, complemented
162#4933C2211yescharacteristic, complemented
163#4933C2211yescharacteristic, complemented
164#4929C2211yescharacteristic, complemented
165#4928C2211yescharacteristic, complemented
166#4676C2211yescharacteristic, complemented
167#4675C2211yescharacteristic, complemented
168#4672C2211yescharacteristic, complemented
169#4672C2211yescharacteristic, complemented
170#4670C2211yescharacteristic, complemented
171#4669C2211yescharacteristic, complemented
172#4668C2211yescharacteristic
173#4668C2211yescharacteristic
174#4668C2211yescharacteristic, complemented
175#4667C2211yescharacteristic, complemented
176#4665C2211yescharacteristic
177#4665C2211yescharacteristic
178#4665C2211yescharacteristic
179#4665C2211yescharacteristic
180#4665C2211yescharacteristic, complemented
181#4665C2211yescharacteristic, complemented
182#4665C2211yescharacteristic, complemented
183#4665C2211yescharacteristic, complemented
184D3×#95C2211yescharacteristic
185D3×#95C2211yescharacteristic
186#4654C2211yescharacteristic, complemented
187#4649C2211yescharacteristic, complemented
188#4649C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#551—31no—
191C2×#525—31no—
192#2732—31no—
193#2730—31no—
194#2714—31no—
195#2673—31no—
196#2554—31no—
197#2543—31no—
198#2539—31no—
199#2539—31no—
200#2479—31no—
201#2471—31no—
202#2471—31no—
203#2467—31no—
204#2456—31no—
205#2456—31no—
206#2445—31no—
207#2433—31no—
208#2431—31no—
209#2425—31no—
210#2424—31no—
211#2411—31no—
212#2410—31no—
213#2407—31no—
214#2368—31no—
215#2366—31no—
216#2363D311yescharacteristic, complemented
217#2359—31no—
218#2358—31no—
219C4×#120—31no—
220C2×#386—31no—
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
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
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C23×Dic3C2311yescharacteristic
241C23×Dic3C2311yescharacteristic
242C2×D3×D4—24no—
243C2×D3×D4—42no—
244C2×D3×D4—42no—
245C2×#235—24no—
246C2×#235—42no—
247C2×#235—42no—
248C22×D12C2311yescharacteristic
249C22×D12C2311yescharacteristic
250C22×D12C2311yescharacteristic
251C22×D12C2311yescharacteristic
252C22×D12C2311yescharacteristic
253C22×D12C2311yescharacteristic
254C22×D12C2311yescharacteristic
255C22×D12C2311yescharacteristic
256C22×C4×D3—24no—
257C22×C4×D3—42no—
258C22×C4×D3—42no—
259C22×C4×D3C2311yescharacteristic
260C22×C4×D3C2311yescharacteristic
261C22×C4×D3C2311yescharacteristic
262C22×C4×D3C2311yescharacteristic
263C22×C4×D3C2311yescharacteristic
264C22×C4×D3C2311yescharacteristic
265C22×C4×D3C2311yescharacteristic
266C22×C4×D3C2311yescharacteristic
267C22×C4×D3C2311yescharacteristic
268C22×Dic6C2311yescharacteristic
269C3×#121—24no—
270C3×C4×D4—24no—
271C3×#117—24no—
272C2×C3×C4⋊C4C2311yescharacteristic
273C2×C3×C4⋊C4C2311yescharacteristic
274C2×C3×C4⋊C4C2311yescharacteristic
275C2×C3×C4⋊C4C2311yescharacteristic
276C2×C3×C4⋊C4C2311yescharacteristic
277C2×C3×C22⋊C4C2311yescharacteristic
278C2×C3×C22⋊C4C2311yescharacteristic
279C2×C3×C22⋊C4C2311yescharacteristic
280C2×C3×C22⋊C4C2311yescharacteristic
281C2×C3×C22⋊C4C2311yescharacteristic
282C2×C3×C22⋊C4C2311yescharacteristic
283C2×C3×C22⋊C4C2311yescharacteristic
284C2×C3×C22⋊C4C2311yescharacteristic
285C2×C3×C22⋊C4C2311yescharacteristic
286C2×C3×C22⋊C4C2311yescharacteristic
287C2×C3×C22⋊C4C2311yescharacteristic
288C2×C3×C22⋊C4C2311yescharacteristic
289C2×C3×C42C2311yescharacteristic
290C2×C3×C42C2311yescharacteristic
291C2×C3×C42C2311yescharacteristic
292C2×C3×C42C2311yescharacteristic
293C2×C3×C42C2311yescharacteristic
294C2×C3×C42C2311yescharacteristic
295C2×#217C2311yescharacteristic
296C2×#217C2311yescharacteristic
297C2×#217C2311yescharacteristic
298C2×#217C2311yescharacteristic
299C2×#217C2311yescharacteristic
300C2×#217C2311yescharacteristic
301C2×#217C2311yescharacteristic
302C2×#217C2311yescharacteristic
303C2×#217C2311yescharacteristic
304#940—24no—
305#939—24no—
306#939—42no—
307#937—24no—
308#937—42no—
309#930—42no—
310#929—24no—
311C4×#67—24no—
312C4×#67—24no—
313C4×#67—42no—
314C2×(C2×D3)⋊C4—24no—
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×(C2×D3)⋊C4C2311yescharacteristic
340C2×(C2×D3)⋊C4C2311yescharacteristic
341C2×(C2×D3)⋊C4C2311yescharacteristic
342C2×(C2×D3)⋊C4C2311yescharacteristic
343C2×(C2×D3)⋊C4C2311yescharacteristic
344C2×(C2×D3)⋊C4C2311yescharacteristic
345C2×(C2×D3)⋊C4C2311yescharacteristic
346C2×(C2×D3)⋊C4C2311yescharacteristic
347C2×(C2×D3)⋊C4C2311yescharacteristic
348C2×(C2×D3)⋊C4C2311yescharacteristic
349C2×(C2×D3)⋊C4C2311yescharacteristic
350C2×C4⋊Dic3C2311yescharacteristic
351C2×C4⋊Dic3C2311yescharacteristic
352C2×C4⋊Dic3C2311yescharacteristic
353C2×C4⋊Dic3C2311yescharacteristic
354C2×C4⋊Dic3C2311yescharacteristic
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×Dic3⋊C4C2311yescharacteristic
364C2×Dic3⋊C4C2311yescharacteristic
365C2×Dic3⋊C4C2311yescharacteristic
366C2×Dic3⋊C4C2311yescharacteristic
367C2×Dic3⋊C4C2311yescharacteristic
368C2×C4×Dic3C2311yescharacteristic
369C2×C4×Dic3C2311yescharacteristic
370C2×C4×Dic3C2311yescharacteristic
371C2×C4×Dic3C2311yescharacteristic
372C2×C4×Dic3C2311yescharacteristic
373#898—24no—
374#896D418yescomplemented
375#895—42no—
376#894—24no—
377#894—24no—
378#894—24no—
379#894—42no—
380#884—24no—
381#884—42no—
382#883—24no—
383#883—24no—
384#882—24no—
385#882—24no—
386#882—24no—
387#882—24no—
388#67⋊C4—24no—
389#67⋊C4—42no—
390D3×C22⋊C4—24no—
391D3×C22⋊C4—42no—
392D3×C22⋊C4—42no—
393#878—24no—
394#878—24no—
395#876—24no—
396#875—24no—
397#874—42no—
398C4×D12—24no—
399C4×D12—24no—
400C4×D12—42no—
401#872—24no—
402#872—24no—
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
423C3⋊#95C2311yescharacteristic
424C3⋊#95C2311yescharacteristic
425C3⋊#95C2311yescharacteristic
426C3⋊#95C2311yescharacteristic
427C3⋊#95C2311yescharacteristic
428C3⋊#95C2311yescharacteristic
429C22×#41—31no—
430C23×D4—31no—
431C24×C4—31no—
432#551—68no—
433C2×#127—31no—
434C2×#127—31no—
435C2×#126—31no—
436C2×#126—31no—
437C2×#124—31no—
438#525—68no—
439C2×#123—31no—
440C2×#123—31no—
441C2×#123—31no—
442C2×#123—31no—
443C2×#123—31no—
444C2×#123—31no—
445C2×#123—31no—
446C2×C22⋊Q8—31no—
447C2×C22⋊Q8—31no—
448C2×C22⋊Q8—31no—
449C2×#121—31no—
450C2×#121—31no—
451C2×#121—31no—
452C2×#121—31no—
453C2×#121—31no—
454C2×#121—31no—
455C2×#121C2×D311yescharacteristic
456C2×#120—31no—
457C2×#120—31no—
458C2×#120—31no—
459C2×#120—31no—
460C2×#120—31no—
461C2×#120—31no—
462C2×C4×D4—31no—
463C2×C4×D4—31no—
464C2×C4×D4—31no—
465C2×C4×D4—31no—
466C2×C4×D4—31no—
467C2×C4×D4—31no—
468C2×C4×D4—31no—
469C2×C4×D4—31no—
470C2×C4×D4C2×D311yescharacteristic, complemented
471C2×#117—31no—
472C2×#117—31no—
473C2×#117C2×D311yescharacteristic, complemented
474C22×C22⋊C4—31no—
475C22×C22⋊C4—31no—
476C22×C22⋊C4—31no—
477C22×C22⋊C4—31no—
478#399—31no—
479#399—31no—
480#399—31no—
481#399—31no—
482#398—31no—
483#398—31no—
484#397—31no—
485#397—31no—
486#396—31no—
487#396—31no—
488#396—31no—
489#396—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#392—31no—
499#392—31no—
500#392—31no—
501#392—31no—
502#392—31no—
503#392—31no—
504#392—31no—
505#392—31no—
506#392—31no—
507#392—31no—
508#392—31no—
509#392—31no—
510#391—31no—
511#391—31no—
512#390—31no—
513#390—31no—
514#390—31no—
515#390—31no—
516#390—31no—
517#390—31no—
518#390—31no—
519#390—31no—
520#390—31no—
521#390—31no—
522#390—31no—
523#390C2×D311yescharacteristic
524#390C2×D311yescharacteristic, complemented
525#390C2×D311yescharacteristic, complemented
526#389—31no—
527#389C2×D311yescharacteristic, complemented
528#388—31no—
529#388—31no—
530#388—31no—
531#388—31no—
532#388—31no—
533#388—31no—
534#388—31no—
535#388—31no—
536#388C2×D311yescharacteristic, complemented
537#388C2×D311yescharacteristic, complemented
538#387—31no—
539#387—31no—
540#387—31no—
541#387—31no—
542#387—31no—
543#387—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#386—31no—
553#386—31no—
554#386—31no—
555#386—31no—
556#386—31no—
557#386—31no—
558#386—31no—
559#386—31no—
560#386—31no—
561#386—31no—
562#386—31no—
563#386C2×D311yescharacteristic
564#386C2×D311yescharacteristic, complemented
565#385—31no—
566#385—31no—
567#385—31no—
568#385—31no—
569#385—31no—
570#385—31no—
571#385—31no—
572#380—31no—
573#379—31no—
574C4×C4⋊C4—31no—
575C4×C4⋊C4—31no—
576C4×C4⋊C4C2×D311yescharacteristic, complemented
577C4×C22⋊C4—31no—
578C4×C22⋊C4—31no—
579C4×C22⋊C4—31no—
580C4×C22⋊C4—31no—
581C4×C22⋊C4C2×D311yescharacteristic, complemented
582C4×C22⋊C4C2×D311yescharacteristic, complemented
583C4×C22⋊C4C2×D311yescharacteristic, complemented
584C2×#95—31no—
585C2×#95—31no—
586C24×C3C2411yescharacteristic
587C24×C3C2411yescharacteristic
588C24×C3C2411yescharacteristic
589C23×D3—22no—
590C23×D3—22no—
591C23×D3—22no—
592C23×D3—22no—
593C23×D3—22no—
594C23×D3—22no—
595C23×D3—22no—
596C23×D3—22no—
597C23×D3—22no—
598C23×D3—41no—
599C23×D3—41no—
600C23×D3—41no—
601C23×D3—41no—
602C23×D3—41no—
603C23×D3C2411yescharacteristic
604C23×D3C2411yescharacteristic
605C23×D3C2411yescharacteristic
606C23×D3C2411yescharacteristic
607C23×D3C2411yescharacteristic
608C2×C3×D4—22no—
609C2×C3×D4—22no—
610C2×C3×D4—22no—
611C2×C3×D4—41no—
612C2×C3×D4—41no—
613C2×C3×D4—41no—
614C2×C3×D4—41no—
615C2×C3×D4—41no—
616C2×C3×D4#4114yescomplemented
617C22×C3×C4—22no—
618C22×C3×C4—22no—
619C22×C3×C4—22no—
620C22×C3×C4—22no—
621C22×C3×C4—22no—
622C22×C3×C4—22no—
623C22×C3×C4—41no—
624C22×C3×C4—41no—
625C22×C3×C4—41no—
626C22×C3×C4C2411yescharacteristic
627C22×C3×C4C2411yescharacteristic
628C22×C3×C4C2411yescharacteristic
629C22×C3×C4C2411yescharacteristic
630C22×C3×C4C2411yescharacteristic
631C22×C3×C4C2411yescharacteristic
632C22×C3×C4C2411yescharacteristic
633C22×C3×C4C2411yescharacteristic
634C22×C3×C4C2411yescharacteristic
635C22×C3×C4C2411yescharacteristic
636C22×C3×C4C2411yescharacteristic
637C22×C3×C4C2411yescharacteristic
638C2×#67—22no—
639C2×#67—22no—
640C2×#67—22no—
641C2×#67—22no—
642C2×#67—22no—
643C2×#67—22no—
644C2×#67—22no—
645C2×#67—22no—
646C2×#67—22no—
647C2×#67—22no—
648C2×#67—22no—
649C2×#67—22no—
650C2×#67—22no—
651C2×#67—22no—
652C2×#67—22no—
653C2×#67—22no—
654C2×#67—22no—
655C2×#67—41no—
656C2×#67—41no—
657C2×#67—41no—
658C2×#67—41no—
659C2×#67—41no—
660C2×#67—41no—
661C2×#67—41no—
662C2×#67—41no—
663C2×#67—41no—
664C2×#67—41no—
665C2×#67—41no—
666C2×#67—41no—
667C2×#67—41no—
668C2×#67—41no—
669C2×#67—41no—
670C2×#67—41no—
671C22×Dic3—22no—
672C22×Dic3—22no—
673C22×Dic3—41no—
674C22×Dic3—41no—
675C22×Dic3—41no—
676C22×Dic3—41no—
677C22×Dic3C2411yescharacteristic
678C22×Dic3C2411yescharacteristic
679C22×Dic3C2411yescharacteristic
680C22×Dic3C2411yescharacteristic
681C22×Dic3C2411yescharacteristic
682C22×Dic3C2411yescharacteristic
683C22×Dic3C2411yescharacteristic
684C22×Dic3C2411yescharacteristic
685C22×Dic3C2411yescharacteristic
686C22×Dic3C2411yescharacteristic
687C22×Dic3C2411yescharacteristic
688D3×D4—416no—
689#235—416no—
690C2×D12—22no—
691C2×D12—22no—
692C2×D12—22no—
693C2×D12—22no—
694C2×D12—22no—
695C2×D12—22no—
696C2×D12—22no—
697C2×D12—22no—
698C2×D12—22no—
699C2×D12—22no—
700C2×D12—22no—
701C2×D12—22no—
702C2×D12—22no—
703C2×D12—22no—
704C2×D12—22no—
705C2×D12—41no—
706C2×D12—41no—
707C2×D12—41no—
708C2×D12—41no—
709C2×D12—41no—
710C2×D12—41no—
711C2×D12—41no—
712C2×D12—41no—
713C2×D12—41no—
714C2×C4×D3—22no—
715C2×C4×D3—22no—
716C2×C4×D3—22no—
717C2×C4×D3—22no—
718C2×C4×D3—22no—
719C2×C4×D3—22no—
720C2×C4×D3—22no—
721C2×C4×D3—22no—
722C2×C4×D3—22no—
723C2×C4×D3—22no—
724C2×C4×D3—22no—
725C2×C4×D3—22no—
726C2×C4×D3—22no—
727C2×C4×D3—22no—
728C2×C4×D3—22no—
729C2×C4×D3—22no—
730C2×C4×D3—416no—
731C2×C4×D3—41no—
732C2×C4×D3—41no—
733C2×C4×D3—41no—
734C2×C4×D3—41no—
735C2×C4×D3—41no—
736C2×C4×D3—41no—
737C2×C4×D3—41no—
738C2×C4×D3—41no—
739C2×C4×D3—41no—
740C2×C4×D3—41no—
741C2×C4×D3C2×D414yes—
742C2×Dic6—41no—
743C2×Dic6—41no—
744C2×Dic6C2×D414yescomplemented
745C3×C4⋊C4—22no—
746C3×C4⋊C4—22no—
747C3×C4⋊C4—41no—
748C3×C4⋊C4—41no—
749C3×C4⋊C4C2×D414yescomplemented
750C3×C22⋊C4—22no—
751C3×C22⋊C4—22no—
752C3×C22⋊C4—22no—
753C3×C22⋊C4—22no—
754C3×C22⋊C4—22no—
755C3×C22⋊C4—22no—
756C3×C22⋊C4—22no—
757C3×C22⋊C4—22no—
758C3×C22⋊C4—22no—
759C3×C22⋊C4—22no—
760C3×C22⋊C4—41no—
761C3×C22⋊C4—41no—
762C3×C42—22no—
763C3×C42—22no—
764C3×C42—22no—
765C3×C42—41no—
766C3×C42—41no—
767C3×C42—41no—
768#217—22no—
769#217—22no—
770#217—22no—
771#217—22no—
772#217—41no—
773#217—41no—
774#217—41no—
775#217—41no—
776#217—41no—
777(C2×D3)⋊C4—22no—
778(C2×D3)⋊C4—22no—
779(C2×D3)⋊C4—22no—
780(C2×D3)⋊C4—22no—
781(C2×D3)⋊C4—22no—
782(C2×D3)⋊C4—22no—
783(C2×D3)⋊C4—22no—
784(C2×D3)⋊C4—22no—
785(C2×D3)⋊C4—22no—
786(C2×D3)⋊C4—22no—
787(C2×D3)⋊C4—22no—
788(C2×D3)⋊C4—22no—
789(C2×D3)⋊C4—22no—
790(C2×D3)⋊C4—22no—
791(C2×D3)⋊C4—22no—
792(C2×D3)⋊C4—22no—
793(C2×D3)⋊C4—22no—
794(C2×D3)⋊C4—22no—
795(C2×D3)⋊C4—22no—
796(C2×D3)⋊C4—41no—
797(C2×D3)⋊C4—41no—
798(C2×D3)⋊C4—41no—
799(C2×D3)⋊C4—41no—
800(C2×D3)⋊C4—41no—
801(C2×D3)⋊C4—41no—
802(C2×D3)⋊C4—41no—
803(C2×D3)⋊C4—41no—
804(C2×D3)⋊C4—41no—
805(C2×D3)⋊C4—41no—
806(C2×D3)⋊C4—41no—
807(C2×D3)⋊C4—41no—
808(C2×D3)⋊C4—41no—
809(C2×D3)⋊C4C2×D414yes—
810(C2×D3)⋊C4C2×D414yes—
811(C2×D3)⋊C4#4114yescomplemented
812C4⋊Dic3—22no—
813C4⋊Dic3—22no—
814C4⋊Dic3—22no—
815C4⋊Dic3—41no—
816C4⋊Dic3—41no—
817Dic3⋊C4—22no—
818Dic3⋊C4—22no—
819Dic3⋊C4—22no—
820Dic3⋊C4—22no—
821Dic3⋊C4—22no—
822Dic3⋊C4—22no—
823Dic3⋊C4—22no—
824Dic3⋊C4—41no—
825Dic3⋊C4—41no—
826Dic3⋊C4—41no—
827Dic3⋊C4—41no—
828Dic3⋊C4C2×D414yescomplemented
829Dic3⋊C4C2×D414yescomplemented
830C4×Dic3—22no—
831C4×Dic3—22no—
832C4×Dic3—22no—
833C4×Dic3—41no—
834C4×Dic3—41no—
835C25—31no—
836C25—31no—
837C2×#41—64no—
838C2×#41—122no—
839C2×#41—122no—
840C22×Q8—31no—
841C22×D4—31no—
842C22×D4—31no—
843C22×D4—31no—
844C22×D4—31no—
845C22×D4—31no—
846C22×D4—31no—
847C22×D4—31no—
848C22×D4—31no—
849C22×D4—31no—
850C22×D4—31no—
851C22×D4—31no—
852C22×D4—31no—
853C22×D4—31no—
854C22×D4—31no—
855C22×D4—31no—
856C22×D4—31no—
857C22×D4—31no—
858C22×D4—31no—
859C22×D4—31no—
860C22×D4—64no—
861C22×D4—122no—
862C22×D4—122no—
863C22×D4C22×D311yescharacteristic
864C22×D4C22×D311yescharacteristic
865C22×D4C22×D311yescharacteristic
866C23×C4—31no—
867C23×C4—31no—
868C23×C4—31no—
869C23×C4—31no—
870C23×C4—31no—
871C23×C4—31no—
872C23×C4—31no—
873C23×C4—31no—
874C23×C4—31no—
875C23×C4—31no—
876C23×C4—31no—
877C23×C4—64no—
878C23×C4—122no—
879C23×C4—122no—
880C23×C4C22×D311yescharacteristic
881C23×C4C22×D311yescharacteristic
882C23×C4C22×D311yescharacteristic
883#127—64no—
884#127—122no—
885#126—64no—
886#126—64no—
887#124—64no—
888#123—64no—
889#123—64no—
890#123—64no—
891#123—64no—
892#123—64no—
893#123—64no—
894#123—122no—
895C22⋊Q8—38no—
896C22⋊Q8—64no—
897C22⋊Q8—64no—
898#121—24no—
899#121—64no—
900#121—64no—
901#121—122no—
902#121—122no—
903#121—122no—
904#121—122no—
905#120—64no—
906#120—64no—
907#120—64no—
908#120—64no—
909#120—64no—
910#120—122no—
911C4×D4—24no—
912C4×D4—64no—
913C4×D4—64no—
914C4×D4—64no—
915C4×D4—64no—
916C4×D4—64no—
917C4×D4—122no—
918C4×D4—122no—
919C4×D4—122no—
920#117—24no—
921#117—64no—
922#117—64no—
923C2×C4⋊C4—31no—
924C2×C4⋊C4—31no—
925C2×C4⋊C4—31no—
926C2×C4⋊C4—31no—
927C2×C4⋊C4—31no—
928C2×C4⋊C4—31no—
929C2×C4⋊C4—31no—
930C2×C4⋊C4—31no—
931C2×C4⋊C4—31no—
932C2×C4⋊C4—31no—
933C2×C4⋊C4—31no—
934C2×C4⋊C4—31no—
935C2×C4⋊C4—31no—
936C2×C4⋊C4—31no—
937C2×C4⋊C4—31no—
938C2×C4⋊C4—31no—
939C2×C4⋊C4—31no—
940C2×C4⋊C4—31no—
941C2×C4⋊C4C22×D311yescharacteristic
942C2×C4⋊C4C22×D311yescharacteristic
943C2×C4⋊C4C22×D311yescharacteristic
944C2×C4⋊C4C22×D311yescharacteristic
945C2×C4⋊C4C22×D311yescharacteristic
946C2×C22⋊C4—31no—
947C2×C22⋊C4—31no—
948C2×C22⋊C4—31no—
949C2×C22⋊C4—31no—
950C2×C22⋊C4—31no—
951C2×C22⋊C4—31no—
952C2×C22⋊C4—31no—
953C2×C22⋊C4—31no—
954C2×C22⋊C4—31no—
955C2×C22⋊C4—31no—
956C2×C22⋊C4—31no—
957C2×C22⋊C4—31no—
958C2×C22⋊C4—31no—
959C2×C22⋊C4—31no—
960C2×C22⋊C4—31no—
961C2×C22⋊C4—31no—
962C2×C22⋊C4—31no—
963C2×C22⋊C4—31no—
964C2×C22⋊C4—31no—
965C2×C22⋊C4—31no—
966C2×C22⋊C4—31no—
967C2×C22⋊C4—31no—
968C2×C22⋊C4—31no—
969C2×C22⋊C4—31no—
970C2×C22⋊C4—31no—
971C2×C22⋊C4—31no—
972C2×C22⋊C4—31no—
973C2×C22⋊C4—31no—
974C2×C22⋊C4—31no—
975C2×C22⋊C4—31no—
976C2×C22⋊C4—31no—
977C2×C22⋊C4—31no—
978C2×C22⋊C4—31no—
979C2×C22⋊C4—31no—
980C2×C22⋊C4—31no—
981C2×C22⋊C4—31no—
982C2×C22⋊C4—31no—
983C2×C22⋊C4—31no—
984C2×C22⋊C4—31no—
985C2×C22⋊C4—31no—
986C2×C22⋊C4—31no—
987C2×C22⋊C4—31no—
988C2×C22⋊C4—31no—
989C2×C22⋊C4—31no—
990C2×C22⋊C4—64no—
991C2×C22⋊C4—64no—
992C2×C22⋊C4—122no—
993C2×C22⋊C4—122no—
994C2×C22⋊C4C22×D311yescharacteristic
995C2×C22⋊C4C22×D311yescharacteristic
996C2×C22⋊C4C22×D311yescharacteristic
997C2×C22⋊C4C22×D311yescharacteristic
998C2×C22⋊C4C22×D311yescharacteristic
999C2×C22⋊C4C22×D311yescharacteristic
1000C2×C22⋊C4C22×D311yescharacteristic
1001C2×C22⋊C4C22×D311yescharacteristic
1002C2×C22⋊C4C22×D311yescharacteristic
1003C2×C22⋊C4C22×D311yescharacteristic
1004C2×C22⋊C4C22×D311yescharacteristic
1005C2×C22⋊C4C22×D311yescharacteristic
1006C2×C42—31no—
1007C2×C42—31no—
1008C2×C42—31no—
1009C2×C42—31no—
1010C2×C42—31no—
1011C2×C42C22×D311yescharacteristic
1012C2×C42C22×D311yescharacteristic
1013C2×C42C22×D311yescharacteristic
1014C2×C42C22×D311yescharacteristic
1015C2×C42C22×D311yescharacteristic
1016C2×C42C22×D311yescharacteristic
1017#95—31no—
1018#95—31no—
1019#95—31no—
1020#95—31no—
1021#95—31no—
1022#95—31no—
1023#95—31no—
1024#95—31no—
1025#95—31no—
1026#95—31no—
1027#95—31no—
1028#95—31no—
1029#95—31no—
1030#95—31no—
1031#95—31no—
1032#95—31no—
1033#95—31no—
1034#95—31no—
1035#95—31no—
1036#95—31no—
1037#95C22×D311yescharacteristic
1038#95C22×D311yescharacteristic
1039#95C22×D311yescharacteristic
1040#95C22×D311yescharacteristic
1041#95C22×D311yescharacteristic
1042#95C22×D311yescharacteristic
1043C23×C3—21no—
1044C23×C3—21no—
1045C23×C3—21no—
1046C23×C3—21no—
1047C23×C3—21no—
1048C23×C3—21no—
1049C23×C3—21no—
1050C23×C3—21no—
1051C23×C3—21no—
1052C23×C3—21no—
1053C23×C3—21no—
1054C23×C3—21no—
1055C23×C3—21no—
1056C23×C3—21no—
1057C23×C3—21no—
1058C23×C3—21no—
1059C23×C3—21no—
1060C23×C3—21no—
1061C23×C3—21no—
1062C23×C3C2×#4112yes—
1063C23×C3C2×#4112yes—
1064C23×C3C2511yescharacteristic
1065C22×D3—21no—
1066C22×D3—21no—
1067C22×D3—21no—
1068C22×D3—21no—
1069C22×D3—28no—
1070C22×D3—21no—
1071C22×D3—21no—
1072C22×D3—21no—
1073C22×D3—21no—
1074C22×D3—21no—
1075C22×D3—21no—
1076C22×D3—21no—
1077C22×D3—21no—
1078C22×D3—21no—
1079C22×D3—21no—
1080C22×D3—21no—
1081C22×D3—21no—
1082C22×D3—21no—
1083C22×D3—21no—
1084C22×D3—21no—
1085C22×D3—21no—
1086C22×D3—21no—
1087C22×D3—21no—
1088C22×D3—21no—
1089C22×D3—21no—
1090C22×D3—21no—
1091C22×D3—21no—
1092C22×D3—21no—
1093C22×D3—21no—
1094C22×D3—21no—
1095C22×D3—21no—
1096C22×D3—21no—
1097C22×D3—44no—
1098C22×D3—44no—
1099C22×D3—44no—
1100C22×D3—44no—
1101C22×D3—44no—
1102C22×D3—44no—
1103C22×D3—44no—
1104C22×D3—44no—
1105C22×D3—44no—
1106C22×D3—44no—
1107C22×D3—82no—
1108C22×D3—82no—
1109C22×D3—82no—
1110C22×D3C22×D412yes—
1111C22×D3C2×#4112yes—
1112C22×D3H(5,𝔽2)12yes—
1113C22×D3H(5,𝔽2)12yes—
1114C3×D4—44no—
1115C3×D4—44no—
1116C3×D4—82no—
1117C2×C3×C4—21no—
1118C2×C3×C4—21no—
1119C2×C3×C4—21no—
1120C2×C3×C4—21no—
1121C2×C3×C4—21no—
1122C2×C3×C4—21no—
1123C2×C3×C4—21no—
1124C2×C3×C4—21no—
1125C2×C3×C4—21no—
1126C2×C3×C4—21no—
1127C2×C3×C4—21no—
1128C2×C3×C4—21no—
1129C2×C3×C4—21no—
1130C2×C3×C4—21no—
1131C2×C3×C4—21no—
1132C2×C3×C4—21no—
1133C2×C3×C4—21no—
1134C2×C3×C4—21no—
1135C2×C3×C4—21no—
1136C2×C3×C4—21no—
1137C2×C3×C4—21no—
1138C2×C3×C4—21no—
1139C2×C3×C4—21no—
1140C2×C3×C4—21no—
1141C2×C3×C4—21no—
1142C2×C3×C4—21no—
1143C2×C3×C4—21no—
1144C2×C3×C4—21no—
1145C2×C3×C4—21no—
1146C2×C3×C4—21no—
1147C2×C3×C4—44no—
1148C2×C3×C4—44no—
1149C2×C3×C4—44no—
1150C2×C3×C4C22×D412yes—
1151C2×C3×C4C22×D412yes—
1152C2×C3×C4C22×D412yes—
1153C2×C3×C4C2×#4112yes—
1154C2×C3×C4C2×#4112yes—
1155C2×C3×C4H(5,𝔽2)12yes—
1156#67—44no—
1157#67—44no—
1158#67—44no—
1159#67—44no—
1160#67—44no—
1161#67—44no—
1162#67—44no—
1163#67—44no—
1164#67—44no—
1165#67—82no—
1166#67—82no—
1167C2×Dic3—21no—
1168C2×Dic3—21no—
1169C2×Dic3—21no—
1170C2×Dic3—21no—
1171C2×Dic3—21no—
1172C2×Dic3—21no—
1173C2×Dic3—21no—
1174C2×Dic3—21no—
1175C2×Dic3—21no—
1176C2×Dic3—21no—
1177C2×Dic3—21no—
1178C2×Dic3—21no—
1179C2×Dic3—21no—
1180C2×Dic3—21no—
1181C2×Dic3—21no—
1182C2×Dic3—21no—
1183C2×Dic3—21no—
1184C2×Dic3—21no—
1185C2×Dic3—21no—
1186C2×Dic3—21no—
1187C2×Dic3—21no—
1188C2×Dic3—21no—
1189C2×Dic3—21no—
1190C2×Dic3—21no—
1191C2×Dic3—21no—
1192C2×Dic3—21no—
1193C2×Dic3—21no—
1194C2×Dic3—21no—
1195C2×Dic3—21no—
1196C2×Dic3—44no—
1197C2×Dic3—82no—
1198C2×Dic3C22×D412yes—
1199C2×Dic3C22×D412yes—
1200C2×Dic3C22×D412yes—
1201C2×Dic3C2×#4112yes—
1202D12—44no—
1203D12—44no—
1204D12—44no—
1205D12—44no—
1206D12—44no—
1207D12—82no—
1208D12—82no—
1209D12—82no—
1210C4×D3—28no—
1211C4×D3—44no—
1212C4×D3—44no—
1213C4×D3—44no—
1214C4×D3—44no—
1215C4×D3—44no—
1216C4×D3—44no—
1217C4×D3—82no—
1218C4×D3—82no—
1219Dic6—44no—
1220C24—31no—
1221C24—31no—
1222C24—31no—
1223C24—31no—
1224C24—31no—
1225C24—62no—
1226C24—62no—
1227C24—62no—
1228C24—62no—
1229C24—62no—
1230C24—62no—
1231C24—62no—
1232C24—62no—
1233C24—62no—
1234C24—121no—
1235C24—121no—
1236C24—121no—
1237C24—121no—
1238C24—121no—
1239C24C23×D311yescharacteristic
1240C24C23×D311yescharacteristic
1241C24C23×D311yescharacteristic
1242#41—1216no—
1243C2×Q8—34no—
1244C2×Q8—121no—
1245C2×Q8—121no—
1246C2×D4—22no—
1247C2×D4—22no—
1248C2×D4—22no—
1249C2×D4—41no—
1250C2×D4—41no—
1251C2×D4—41no—
1252C2×D4—41no—
1253C2×D4—41no—
1254C2×D4—62no—
1255C2×D4—62no—
1256C2×D4—62no—
1257C2×D4—62no—
1258C2×D4—62no—
1259C2×D4—62no—
1260C2×D4—62no—
1261C2×D4—62no—
1262C2×D4—62no—
1263C2×D4—62no—
1264C2×D4—62no—
1265C2×D4—62no—
1266C2×D4—62no—
1267C2×D4—62no—
1268C2×D4—62no—
1269C2×D4—62no—
1270C2×D4—62no—
1271C2×D4—62no—
1272C2×D4—62no—
1273C2×D4—62no—
1274C2×D4—62no—
1275C2×D4—62no—
1276C2×D4—62no—
1277C2×D4—62no—
1278C2×D4—62no—
1279C2×D4—62no—
1280C2×D4—62no—
1281C2×D4—62no—
1282C2×D4—62no—
1283C2×D4—62no—
1284C2×D4—62no—
1285C2×D4—62no—
1286C2×D4—121no—
1287C2×D4—121no—
1288C2×D4—121no—
1289C2×D4—121no—
1290C2×D4—121no—
1291C2×D4—121no—
1292C2×D4—121no—
1293C2×D4—121no—
1294C2×D4—121no—
1295C2×D4—121no—
1296C2×D4—121no—
1297C2×D4—121no—
1298C2×D4—121no—
1299C2×D4—121no—
1300C2×D4—121no—
1301C2×D4—121no—
1302C2×D4—121no—
1303C2×D4—121no—
1304C2×D4—121no—
1305C2×D4—121no—
1306C2×D4—121no—
1307C2×D4—121no—
1308C2×D4—121no—
1309C2×D4—121no—
1310C2×D4—121no—
1311C2×D4—1216no—
1312C2×D4#23514yescomplemented
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—22no—
1319C22×C4—31no—
1320C22×C4—31no—
1321C22×C4—31no—
1322C22×C4—31no—
1323C22×C4—34no—
1324C22×C4—31no—
1325C22×C4—31no—
1326C22×C4—31no—
1327C22×C4—31no—
1328C22×C4—31no—
1329C22×C4—31no—
1330C22×C4—31no—
1331C22×C4—41no—
1332C22×C4—41no—
1333C22×C4—41no—
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—121no—
1353C22×C4—121no—
1354C22×C4—121no—
1355C22×C4—121no—
1356C22×C4—121no—
1357C22×C4—121no—
1358C22×C4—121no—
1359C22×C4—121no—
1360C22×C4—121no—
1361C22×C4—121no—
1362C22×C4—1216no—
1363C22×C4—121no—
1364C22×C4—121no—
1365C22×C4—121no—
1366C22×C4—121no—
1367C22×C4C23×D311yescharacteristic
1368C22×C4C23×D311yescharacteristic
1369C22×C4C23×D311yescharacteristic
1370C22×C4C23×D311yescharacteristic
1371C22×C4C23×D311yescharacteristic
1372C22×C4C23×D311yescharacteristic
1373C22×C4C23×D311yescharacteristic
1374C22×C4C23×D311yescharacteristic
1375C22×C4C23×D311yescharacteristic
1376C22×C4C23×D311yescharacteristic
1377C22×C4C23×D311yescharacteristic
1378C22×C4C23×D311yescharacteristic
1379C4⋊C4—22no—
1380C4⋊C4—22no—
1381C4⋊C4—34no—
1382C4⋊C4—34no—
1383C4⋊C4—41no—
1384C4⋊C4—41no—
1385C4⋊C4—62no—
1386C4⋊C4—62no—
1387C4⋊C4—62no—
1388C4⋊C4—62no—
1389C4⋊C4—62no—
1390C4⋊C4—62no—
1391C4⋊C4—62no—
1392C4⋊C4—62no—
1393C4⋊C4—62no—
1394C4⋊C4—62no—
1395C4⋊C4—121no—
1396C4⋊C4—121no—
1397C4⋊C4—121no—
1398C4⋊C4—121no—
1399C4⋊C4—121no—
1400C4⋊C4—121no—
1401C4⋊C4D3×D414yescomplemented
1402C22⋊C4—22no—
1403C22⋊C4—22no—
1404C22⋊C4—22no—
1405C22⋊C4—22no—
1406C22⋊C4—22no—
1407C22⋊C4—22no—
1408C22⋊C4—22no—
1409C22⋊C4—22no—
1410C22⋊C4—22no—
1411C22⋊C4—22no—
1412C22⋊C4—34no—
1413C22⋊C4—34no—
1414C22⋊C4—34no—
1415C22⋊C4—41no—
1416C22⋊C4—41no—
1417C22⋊C4—62no—
1418C22⋊C4—62no—
1419C22⋊C4—62no—
1420C22⋊C4—62no—
1421C22⋊C4—62no—
1422C22⋊C4—62no—
1423C22⋊C4—62no—
1424C22⋊C4—62no—
1425C22⋊C4—62no—
1426C22⋊C4—62no—
1427C22⋊C4—62no—
1428C22⋊C4—62no—
1429C22⋊C4—62no—
1430C22⋊C4—62no—
1431C22⋊C4—62no—
1432C22⋊C4—62no—
1433C22⋊C4—62no—
1434C22⋊C4—62no—
1435C22⋊C4—62no—
1436C22⋊C4—62no—
1437C22⋊C4—62no—
1438C22⋊C4—62no—
1439C22⋊C4—62no—
1440C22⋊C4—121no—
1441C22⋊C4—121no—
1442C22⋊C4—121no—
1443C22⋊C4—121no—
1444C22⋊C4—121no—
1445C22⋊C4—121no—
1446C22⋊C4—121no—
1447C22⋊C4—121no—
1448C22⋊C4—121no—
1449C22⋊C4—121no—
1450C22⋊C4—121no—
1451C22⋊C4—121no—
1452C22⋊C4—121no—
1453C22⋊C4—121no—
1454C22⋊C4—121no—
1455C22⋊C4—121no—
1456C22⋊C4—121no—
1457C22⋊C4—121no—
1458C42—22no—
1459C42—22no—
1460C42—22no—
1461C42—41no—
1462C42—41no—
1463C42—41no—
1464C42—62no—
1465C42—62no—
1466C42—62no—
1467C42—121no—
1468C42—121no—
1469C22×C3—22no—
1470C22×C3—22no—
1471C22×C3—22no—
1472C22×C3—22no—
1473C22×C3—22no—
1474C22×C3—22no—
1475C22×C3—41no—
1476C22×C3—41no—
1477C22×C3—41no—
1478C22×C3—41no—
1479C22×C3—41no—
1480C22×C3—41no—
1481C22×C3—41no—
1482C22×C3—41no—
1483C22×C3—41no—
1484C22×C3—41no—
1485C22×C3—41no—
1486C22×C3—41no—
1487C22×C3—41no—
1488C22×C3—41no—
1489C22×C3—41no—
1490C22×C3C23×D411yescharacteristic
1491C22×C3C22×#4111yescharacteristic
1492C22×C3C22×#4111yescharacteristic
1493C22×C3C2×H(5,𝔽2)11yescharacteristic
1494C22×C3C2×H(5,𝔽2)11yescharacteristic
1495C22×C3C2×H(5,𝔽2)11yescharacteristic
1496C22×C3#58511yescharacteristic
1497C2×D3—22no—
1498C2×D3—22no—
1499C2×D3—22no—
1500C2×D3—22no—
1501C2×D3—22no—
1502C2×D3—22no—
1503C2×D3—22no—
1504C2×D3—22no—
1505C2×D3—22no—
1506C2×D3—416no—
1507C2×D3—41no—
1508C2×D3—41no—
1509C2×D3—41no—
1510C2×D3—41no—
1511C2×D3—41no—
1512C2×D3—41no—
1513C2×D3—41no—
1514C2×D3—41no—
1515C2×D3—41no—
1516C2×D3—41no—
1517C2×D3—41no—
1518C2×D3—41no—
1519C2×D3—41no—
1520C2×D3—41no—
1521C2×D3—41no—
1522C2×D3—41no—
1523C2×D3—41no—
1524C2×D3—41no—
1525C2×D3—41no—
1526C2×D3—41no—
1527C2×D3—41no—
1528C2×D3—41no—
1529C2×D3—41no—
1530C2×D3—41no—
1531C2×D3—41no—
1532C2×D3—88no—
1533C2×D3#55014yes—
1534C3×C4—22no—
1535C3×C4—22no—
1536C3×C4—22no—
1537C3×C4—22no—
1538C3×C4—22no—
1539C3×C4—22no—
1540C3×C4—41no—
1541C3×C4—41no—
1542C3×C4—41no—
1543C3×C4—41no—
1544C3×C4—41no—
1545C3×C4—41no—
1546Dic3—22no—
1547Dic3—22no—
1548Dic3—22no—
1549Dic3—22no—
1550Dic3—41no—
1551Dic3—41no—
1552Dic3—41no—
1553Dic3—41no—
1554Dic3—41no—
1555Dic3—41no—
1556Dic3—41no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—32no—
1577C23—32no—
1578C23—32no—
1579C23—32no—
1580C23—68no—
1581C23—61no—
1582C23—61no—
1583C23—61no—
1584C23—61no—
1585C23—61no—
1586C23—61no—
1587C23—61no—
1588C23—61no—
1589C23—61no—
1590C23—61no—
1591C23—61no—
1592C23—61no—
1593C23—61no—
1594C23—61no—
1595C23—61no—
1596C23—61no—
1597C23—61no—
1598C23—61no—
1599C23—61no—
1600C23—61no—
1601C23—61no—
1602C23—61no—
1603C23—61no—
1604C23—61no—
1605C23—61no—
1606C23—61no—
1607C23—61no—
1608C23—61no—
1609C23—61no—
1610C23—61no—
1611C23—61no—
1612C23—124no—
1613C23—124no—
1614C23—124no—
1615C23—124no—
1616C23—124no—
1617C23—124no—
1618C23—124no—
1619C23—124no—
1620C23—124no—
1621C23—124no—
1622C23—242no—
1623C23—242no—
1624C23—242no—
1625C23C2×#23512yes—
1626C23C2×#23512yes—
1627C23C24×D311yescharacteristic
1628Q8—124no—
1629D4—44no—
1630D4—44no—
1631D4—82no—
1632D4—124no—
1633D4—124no—
1634D4—124no—
1635D4—124no—
1636D4—124no—
1637D4—124no—
1638D4—124no—
1639D4—124no—
1640D4—124no—
1641D4—124no—
1642D4—124no—
1643D4—124no—
1644D4—124no—
1645D4—124no—
1646D4—242no—
1647D4—242no—
1648D4—242no—
1649D4—242no—
1650D4—242no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—32no—
1682C2×C4—32no—
1683C2×C4—32no—
1684C2×C4—32no—
1685C2×C4—44no—
1686C2×C4—44no—
1687C2×C4—44no—
1688C2×C4—68no—
1689C2×C4—61no—
1690C2×C4—61no—
1691C2×C4—61no—
1692C2×C4—61no—
1693C2×C4—61no—
1694C2×C4—61no—
1695C2×C4—61no—
1696C2×C4—61no—
1697C2×C4—61no—
1698C2×C4—61no—
1699C2×C4—61no—
1700C2×C4—61no—
1701C2×C4—61no—
1702C2×C4—61no—
1703C2×C4—61no—
1704C2×C4—61no—
1705C2×C4—61no—
1706C2×C4—61no—
1707C2×C4—61no—
1708C2×C4—61no—
1709C2×C4—61no—
1710C2×C4—61no—
1711C2×C4—61no—
1712C2×C4—61no—
1713C2×C4—61no—
1714C2×C4—61no—
1715C2×C4—61no—
1716C2×C4—61no—
1717C2×C4—61no—
1718C2×C4—124no—
1719C2×C4—124no—
1720C2×C4—124no—
1721C2×C4—124no—
1722C2×C4—124no—
1723C2×C4—124no—
1724C2×C4—124no—
1725C2×C4—242no—
1726C2×C4—242no—
1727C2×C4—242no—
1728C2×C4C2×#23512yes—
1729C2×C4C2×D3×D412yes—
1730C2×C4C2×D3×D412yes—
1731C2×C4C2×D3×D412yes—
1732C2×C4D3×#4112yes—
1733C2×C4#100912yes—
1734C2×C3—42no—
1735C2×C3—42no—
1736C2×C3—81no—
1737C2×C3C2×#55011yescharacteristic
1738C2×C3D4×#4111yescharacteristic
1739C2×C3#348111yescharacteristic
1740C2×C3#348411yescharacteristic
1741C2×C3#349011yescharacteristic
1742C2×C3#351311yescharacteristic
1743C2×C3#354211yescharacteristic
1744D3—24no—
1745D3—42no—
1746D3—81no—
1747D3—81no—
1748D3—81no—
1749C22—22no—
1750C22—22no—
1751C22—22no—
1752C22—22no—
1753C22—22no—
1754C22—22no—
1755C22—34no—
1756C22—41no—
1757C22—41no—
1758C22—41no—
1759C22—41no—
1760C22—41no—
1761C22—41no—
1762C22—41no—
1763C22—41no—
1764C22—41no—
1765C22—41no—
1766C22—41no—
1767C22—41no—
1768C22—41no—
1769C22—41no—
1770C22—41no—
1771C22—62no—
1772C22—62no—
1773C22—62no—
1774C22—62no—
1775C22—62no—
1776C22—62no—
1777C22—62no—
1778C22—62no—
1779C22—62no—
1780C22—1216no—
1781C22—121no—
1782C22—121no—
1783C22—121no—
1784C22—121no—
1785C22—121no—
1786C22—121no—
1787C22—121no—
1788C22—121no—
1789C22—121no—
1790C22—121no—
1791C22—121no—
1792C22—121no—
1793C22—121no—
1794C22—121no—
1795C22—121no—
1796C22—121no—
1797C22—121no—
1798C22—121no—
1799C22—121no—
1800C22—121no—
1801C22—121no—
1802C22—121no—
1803C22—121no—
1804C22—121no—
1805C22—121no—
1806C22—248no—
1807C22C22×#23511yescharacteristic
1808C22C22×D3×D411yescharacteristic
1809C22C2×D3×#4111yescharacteristic
1810C22C2×#100911yescharacteristic
1811C22#596411yescharacteristic
1812C22D3×H(5,𝔽2)11yescharacteristic
1813C22D3×H(5,𝔽2)11yescharacteristic
1814C4—22no—
1815C4—22no—
1816C4—22no—
1817C4—22no—
1818C4—22no—
1819C4—22no—
1820C4—41no—
1821C4—41no—
1822C4—41no—
1823C4—41no—
1824C4—41no—
1825C4—41no—
1826C4—62no—
1827C4—62no—
1828C4—62no—
1829C4—62no—
1830C4—121no—
1831C4—121no—
1832C4—121no—
1833C4—121no—
1834C4—121no—
1835C4—121no—
1836C4—121no—
1837C3#5904511yescharacteristic, complemented, Sylow
1838C2—42no—
1839C2—42no—
1840C2—64no—
1841C2—81no—
1842C2—122no—
1843C2—241no—
1844C2—241no—
1845C2—241no—
1846C2D4×#23511yescharacteristic
1847C2#8584311yescharacteristic
1848C2#8586811yescharacteristic
1849C2#8666211yescharacteristic
1850C2D3×#55011yescharacteristic
1851C2#8688211yescharacteristic
1852C2#8696611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2363C2
hypercenter#2363D3
hypocenterC3#59045
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2363

Complements

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

NH ≅ G/Ntype
1. C2×#5547C2semidirect
2. C2×#5527C2semidirect
3. C3×#2363C2semidirect
4. #82702C2semidirect
5. #82683C2semidirect
6. #82411C2semidirect
7. #82279C2semidirect
8. #76454C2semidirect
9. #76454C2semidirect
10. #76446C2semidirect
11. #76401C2semidirect
12. #76396C2semidirect
13. #76314C2semidirect
14. #76217C2semidirect
15. #76027C2semidirect
16. #75883C2semidirect
17. #75882C2semidirect
18. #75842C2semidirect
19. #75708C2semidirect
20. #74894C2semidirect
21. D3×#386C2semidirect
22. #74688C2semidirect
23. #74679C2semidirect
24. #73780C2semidirect
25. #73775C2semidirect
26. #73586C2semidirect
27. #73578C2semidirect
28. #73577C2semidirect
29. C4×#882C2semidirect
30. #73500C2semidirect
31. #73499C2semidirect
34. C22×#235C22semidirect
37. C2×C3×C4×D4C22semidirect
38. C2×C3×#117C22semidirect
41. C2×#939C22semidirect
44. C2×#930C22semidirect
45. C2×#929C22semidirect
47. C2×C4×#67C22semidirect
48. C2×C4×#67C22semidirect
52. C2×#898C22semidirect
57. C2×#894C22semidirect
58. C2×#894C22semidirect
62. C2×#883C22semidirect
67. C2×#67⋊C4C22semidirect
68. C2×#67⋊C4C22semidirect
72. C2×#878C22semidirect
73. C2×#878C22semidirect
74. C2×#876C22semidirect
75. C2×#875C22semidirect
79. C2×C4×D12C22semidirect
81. C2×#872C22semidirect
83. C3×#390C22semidirect
84. C3×#390C22semidirect
85. C3×#389C22semidirect
86. C3×#388C22semidirect
87. C3×#388C22semidirect
89. C3×#386C22semidirect
90. C3×C4×C4⋊C4C22semidirect
91. C3×C4×C22⋊C4C22semidirect
92. C3×C4×C22⋊C4C22semidirect
93. C3×C4×C22⋊C4C22semidirect
95. #5223C22semidirect
96. #5223C22semidirect
97. #5223C22semidirect
102. #5213C22semidirect
103. #5210C22semidirect
104. #4994C22semidirect
105. #4993C22semidirect
106. #4993C22semidirect
107. #4992C22semidirect
109. #4991C22semidirect
110. #4990C22semidirect
113. #4982C22semidirect
114. #4982C22semidirect
115. #4980C22semidirect
116. #4978C22semidirect
117. #4961C22semidirect
123. #4960C22semidirect
124. #4960C22semidirect
125. #4960C22semidirect
127. #4959C22semidirect
128. #4959C22semidirect
130. #4958C22semidirect
131. #4957C22semidirect
132. #4957C22semidirect
133. #4957C22semidirect
134. #4957C22semidirect
135. #4957C22semidirect
136. #4957C22semidirect
140. #4956C22semidirect
142. #4951C22semidirect
143. #4950C22semidirect
144. #4950C22semidirect
145. #4949C22semidirect
146. #4949C22semidirect
147. #4948C22semidirect
148. #4948C22semidirect
149. #4944C22semidirect
150. #4940C22semidirect
151. #4940C22semidirect
152. #4940C22semidirect
153. #4939C22semidirect
154. #4939C22semidirect
155. #4939C22semidirect
156. #4939C22semidirect
160. C4×(C2×D3)⋊C4C22semidirect
161. #4933C22semidirect
162. #4933C22semidirect
163. #4933C22semidirect
164. #4929C22semidirect
165. #4928C22semidirect
166. #4676C22semidirect
167. #4675C22semidirect
168. #4672C22semidirect
169. #4672C22semidirect
170. #4670C22semidirect
171. #4669C22semidirect
174. #4668C22semidirect
175. #4667C22semidirect
180. #4665C22semidirect
181. #4665C22semidirect
182. #4665C22semidirect
183. #4665C22semidirect
186. #4654C22semidirect
187. #4649C22semidirect
188. #4649C22semidirect
189. #4646C22semidirect
216. #2363D3semidirect
374. #896D4semidirect
470. C2×C4×D4C2×D3semidirect
473. C2×#117C2×D3semidirect
524. #390C2×D3semidirect
525. #390C2×D3semidirect
527. #389C2×D3semidirect
536. #388C2×D3semidirect
537. #388C2×D3semidirect
564. #386C2×D3semidirect
576. C4×C4⋊C4C2×D3semidirect
581. C4×C22⋊C4C2×D3semidirect
582. C4×C22⋊C4C2×D3semidirect
583. C4×C22⋊C4C2×D3semidirect
616. C2×C3×D4#41semidirect
744. C2×Dic6C2×D4semidirect
749. C3×C4⋊C4C2×D4semidirect
811. (C2×D3)⋊C4#41semidirect
828. Dic3⋊C4C2×D4semidirect
829. Dic3⋊C4C2×D4semidirect
1312. C2×D4#235semidirect
1401. C4⋊C4D3×D4semidirect
1837. C3#59045semidirect

Maximal subgroups

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

subgroupindex
C2×#55472
C2×#55272
C3×#23632
#827022
#826832
#824112
#822792
#764542
#764462
#764012
#763962
#763142
#762172
#760272
#758832
#758822
#758422
#757082
#748942
D3×#3862
#746882
#746792
#737802
#737752
#735862
#735782
#735772
C4×#8822
#735002
#734992
#590453