Finite Group Databasebeta

← #11633531

Subgroups — #11633531

Order 768.

2654 conjugacy classes of subgroups.

The subgroup lattice has 1702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5547C211yesmaximal, characteristic, complemented
2C2×#5531C211yesmaximal, characteristic, complemented
3C3×#2359C211yesmaximal, characteristic, complemented
4#82901C211yesmaximal, characteristic, complemented
5#82859C211yesmaximal, characteristic, complemented
6#82355C211yesmaximal, characteristic, complemented
7#82275C211yesmaximal, characteristic, complemented
8#76110C211yesmaximal, characteristic, complemented
9#76059C211yesmaximal, characteristic, complemented
10#75686C211yesmaximal, characteristic, complemented
11#75674C211yesmaximal, characteristic, complemented
12#75545C211yesmaximal, characteristic, complemented
13#75495C211yesmaximal, characteristic, complemented
14#75153C211yesmaximal, characteristic, complemented
15#75002C211yesmaximal, characteristic, complemented
16#74984C211yesmaximal, characteristic, complemented
17#74982C211yesmaximal, characteristic, complemented
18#74889C211yesmaximal, characteristic, complemented
19#74692C211yesmaximal, characteristic, complemented
20#74426C211yesmaximal, characteristic, complemented
21#74404C211yesmaximal, characteristic, complemented
22#74395C211yesmaximal, characteristic, complemented
23#74379C211yesmaximal, characteristic, complemented
24#73677C211yesmaximal, characteristic, complemented
25#73639C211yesmaximal, characteristic, complemented
26#73597C211yesmaximal, characteristic, complemented
27#73499C211yesmaximal, characteristic, complemented
28#73466C211yesmaximal, characteristic, complemented
29#73454C211yesmaximal, characteristic, complemented
30C2×#4667C211yesmaximal, characteristic, complemented
31#73349C211yesmaximal, characteristic, complemented
32#59022—31nomaximal, Sylow
33C22×#235C2211yescharacteristic
34C23×C4×D3C2211yescharacteristic
35C2×C3×#123C2211yescharacteristic
36C2×C3×C4×D4C2211yescharacteristic
37C2×C3×#117C2211yescharacteristic
38C2×#939C2211yescharacteristic
39C2×#939C2211yescharacteristic
40C2×#937C2211yescharacteristic
41C2×#935C2211yescharacteristic
42C2×#930C2211yescharacteristic
43C2×#929C2211yescharacteristic
44C2×#929C2211yescharacteristic
45C2×C4×#67C2211yescharacteristic
46C2×C4×#67C2211yescharacteristic
47C22×(C2×D3)⋊C4C2211yescharacteristic
48C22×(C2×D3)⋊C4C2211yescharacteristic
49C22×Dic3⋊C4C2211yescharacteristic
50C22×Dic3⋊C4C2211yescharacteristic
51#5547—28no—
52#5531—28no—
53C2×#898C2211yescharacteristic, complemented
54C2×#896C2211yescharacteristic
55C2×#896C2211yescharacteristic, complemented
56C2×#894C2211yescharacteristic
57C2×#893C2211yescharacteristic
58C2×#893C2211yescharacteristic
59C2×#889C2211yescharacteristic, complemented
60C2×#889C2211yescharacteristic, complemented
61C2×#886C2211yescharacteristic
62C2×#886C2211yescharacteristic
63C2×#884C2211yescharacteristic
64C2×#884C2211yescharacteristic, complemented
65C2×#883C2211yescharacteristic
66C2×#882C2211yescharacteristic
67C2×#882C2211yescharacteristic
68C2×#67⋊C4C2211yescharacteristic
69C2×#878C2211yescharacteristic
70C2×#877C2211yescharacteristic
71C2×#876C2211yescharacteristic, complemented
72C2×C4×D12C2211yescharacteristic
73C2×#872C2211yescharacteristic
74C2×#872C2211yescharacteristic, complemented
75C2×#870C2211yescharacteristic, complemented
76C2×C4×Dic6C2211yescharacteristic, complemented
77C2×C4×Dic6C2211yescharacteristic, complemented
78C3×#389C2211yescharacteristic, complemented
79C3×#388C2211yescharacteristic, complemented
80C3×#388C2211yescharacteristic, complemented
81C3×#387C2211yescharacteristic, complemented
82C3×#387C2211yescharacteristic, complemented
83C3×#386C2211yescharacteristic
84C3×#385C2211yescharacteristic
85C3×#385C2211yescharacteristic, complemented
86C3×C4×C4⋊C4C2211yescharacteristic, complemented
87C3×C4×C22⋊C4C2211yescharacteristic
88C3×C4×C22⋊C4C2211yescharacteristic, complemented
89C2×C3×#95C2211yescharacteristic
90#5213C2211yescharacteristic
91#5213C2211yescharacteristic, complemented
92#5212C2211yescharacteristic, complemented
93#5210C2211yescharacteristic
94C2×C3⋊#95C2211yescharacteristic
95#4994C2211yescharacteristic
96#4994C2211yescharacteristic
97#4994C2211yescharacteristic, complemented
98#4993C2211yescharacteristic
99#4993C2211yescharacteristic
100#4993C2211yescharacteristic, complemented
101#4993C2211yescharacteristic, complemented
102#4991C2211yescharacteristic
103#4991C2211yescharacteristic
104#4990C2211yescharacteristic, complemented
105#4989C2211yescharacteristic
106#4989C2211yescharacteristic
107#4989C2211yescharacteristic, complemented
108#4988C2211yescharacteristic
109#4988C2211yescharacteristic
110#4981C2211yescharacteristic, complemented
111#4975C2211yescharacteristic, complemented
112#4975C2211yescharacteristic, complemented
113Dic3×C4⋊C4C2211yescharacteristic, complemented
114#4972C2211yescharacteristic, complemented
115#4961C2211yescharacteristic, complemented
116#4960C2211yescharacteristic
117#4960C2211yescharacteristic
118#4959C2211yescharacteristic
119#4959C2211yescharacteristic
120#4959C2211yescharacteristic, complemented
121#4958C2211yescharacteristic
122#4957C2211yescharacteristic
123#4957C2211yescharacteristic
124#4957C2211yescharacteristic
125#4957C2211yescharacteristic
126#4957C2211yescharacteristic, complemented
127#4957C2211yescharacteristic, complemented
128#4957C2211yescharacteristic, complemented
129#4955C2211yescharacteristic
130#4953C2211yescharacteristic, complemented
131#4950C2211yescharacteristic
132#4949C2211yescharacteristic, complemented
133#4949C2211yescharacteristic, complemented
134#4948C2211yescharacteristic, complemented
135Dic3×C22⋊C4C2211yescharacteristic
136Dic3×C22⋊C4C2211yescharacteristic
137#4940C2211yescharacteristic
138#4940C2211yescharacteristic
139#4940C2211yescharacteristic, complemented
140#4939C2211yescharacteristic
141#4939C2211yescharacteristic
142#4939C2211yescharacteristic
143#4939C2211yescharacteristic
144#4939C2211yescharacteristic
145#4939C2211yescharacteristic
146#4933C2211yescharacteristic, complemented
147C4×Dic3⋊C4C2211yescharacteristic, complemented
148#4928C2211yescharacteristic, complemented
149#4928C2211yescharacteristic, complemented
150#4677C2211yescharacteristic
151#4677C2211yescharacteristic
152#4676C2211yescharacteristic
153#4676C2211yescharacteristic
154#4676C2211yescharacteristic, complemented
155#4676C2211yescharacteristic, complemented
156#4675C2211yescharacteristic, complemented
157#4672C2211yescharacteristic, complemented
158#4672C2211yescharacteristic, complemented
159#4671C2211yescharacteristic
160#4671C2211yescharacteristic
161#4669C2211yescharacteristic
162#4669C2211yescharacteristic
163#4669C2211yescharacteristic, complemented
164#4669C2211yescharacteristic, complemented
165#4667C2211yescharacteristic
166#4667C2211yescharacteristic
167#4667C2211yescharacteristic
168#4667C2211yescharacteristic
169#4667C2211yescharacteristic
170#4667C2211yescharacteristic
171#4667C2211yescharacteristic
172#4667C2211yescharacteristic
173#4667C2211yescharacteristic, complemented
174#4667C2211yescharacteristic, complemented
175#4666C2211yescharacteristic
176#4666C2211yescharacteristic
177#4666C2211yescharacteristic, complemented
178#4665C2211yescharacteristic
179#4665C2211yescharacteristic
180#4665C2211yescharacteristic, complemented
181#4657C2211yescharacteristic, complemented
182#4654C2211yescharacteristic, complemented
183#4654C2211yescharacteristic, complemented
184#4654C2211yescharacteristic, complemented
185#4647C2211yescharacteristic, complemented
186#4647C2211yescharacteristic, complemented
187#4647C2211yescharacteristic, complemented
188#4647C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#552—31no—
191C2×#525—31no—
192#2705—31no—
193#2705—31no—
194#2694—31no—
195#2694—31no—
196#2539—31no—
197#2539—31no—
198#2538—31no—
199#2501—31no—
200#2490—31no—
201#2467—31no—
202#2467—31no—
203#2454—31no—
204#2454—31no—
205#2441—31no—
206#2425—31no—
207#2425—31no—
208#2423—31no—
209#2416—31no—
210#2414—31no—
211#2411—31no—
212#2411—31no—
213#2407—31no—
214#2360—31no—
215#2359—31no—
216#2359D311yescharacteristic, complemented
217#2354—31no—
218#2341—31no—
219C4×#120—31no—
220C2×#380—31no—
221C24×D3C2311yescharacteristic
222C22×C3×D4C2311yescharacteristic
223C23×C3×C4C2311yescharacteristic
224C23×C3×C4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C23×Dic3C2311yescharacteristic
234C23×Dic3C2311yescharacteristic
235C23×Dic3C2311yescharacteristic
236C2×#235—24no—
237C2×#235—24no—
238C2×#235—42no—
239C22×D12C2311yescharacteristic
240C22×D12C2311yescharacteristic
241C22×D12C2311yescharacteristic
242C22×D12C2311yescharacteristic
243C22×D12C2311yescharacteristic
244C22×C4×D3—24no—
245C22×C4×D3—24no—
246C22×C4×D3—42no—
247C22×C4×D3C2311yescharacteristic
248C22×C4×D3C2311yescharacteristic
249C22×C4×D3C2311yescharacteristic
250C22×C4×D3C2311yescharacteristic
251C22×C4×D3C2311yescharacteristic
252C22×C4×D3C2311yescharacteristic
253C22×Dic6C2311yescharacteristic
254C3×#123—24no—
255C3×C4×D4—24no—
256C3×#117—24no—
257C2×C3×C4⋊C4C2311yescharacteristic
258C2×C3×C4⋊C4C2311yescharacteristic
259C2×C3×C4⋊C4C2311yescharacteristic
260C2×C3×C4⋊C4C2311yescharacteristic
261C2×C3×C4⋊C4C2311yescharacteristic
262C2×C3×C4⋊C4C2311yescharacteristic
263C2×C3×C4⋊C4C2311yescharacteristic
264C2×C3×C22⋊C4C2311yescharacteristic
265C2×C3×C22⋊C4C2311yescharacteristic
266C2×C3×C22⋊C4C2311yescharacteristic
267C2×C3×C22⋊C4C2311yescharacteristic
268C2×C3×C22⋊C4C2311yescharacteristic
269C2×C3×C22⋊C4C2311yescharacteristic
270C2×C3×C22⋊C4C2311yescharacteristic
271C2×C3×C22⋊C4C2311yescharacteristic
272C2×C3×C42C2311yescharacteristic
273C2×C3×C42C2311yescharacteristic
274C2×C3×C42C2311yescharacteristic
275C2×C3×C42C2311yescharacteristic
276C2×C3×C42C2311yescharacteristic
277C2×#217C2311yescharacteristic
278C2×#217C2311yescharacteristic
279C2×#217C2311yescharacteristic
280C2×#217C2311yescharacteristic
281C2×#217C2311yescharacteristic
282C2×#217C2311yescharacteristic
283#939—24no—
284#939—42no—
285#937—24no—
286#935—42no—
287#930—42no—
288#929—24no—
289#929—42no—
290C4×#67—24no—
291C4×#67—24no—
292C2×(C2×D3)⋊C4—42no—
293C2×(C2×D3)⋊C4—42no—
294C2×(C2×D3)⋊C4C2311yescharacteristic
295C2×(C2×D3)⋊C4C2311yescharacteristic
296C2×(C2×D3)⋊C4C2311yescharacteristic
297C2×(C2×D3)⋊C4C2311yescharacteristic
298C2×(C2×D3)⋊C4C2311yescharacteristic
299C2×(C2×D3)⋊C4C2311yescharacteristic
300C2×(C2×D3)⋊C4C2311yescharacteristic
301C2×(C2×D3)⋊C4C2311yescharacteristic
302C2×(C2×D3)⋊C4C2311yescharacteristic
303C2×(C2×D3)⋊C4C2311yescharacteristic
304C2×(C2×D3)⋊C4C2311yescharacteristic
305C2×(C2×D3)⋊C4C2311yescharacteristic
306C2×(C2×D3)⋊C4C2311yescharacteristic
307C2×(C2×D3)⋊C4C2311yescharacteristic
308C2×(C2×D3)⋊C4C2311yescharacteristic
309C2×(C2×D3)⋊C4C2311yescharacteristic
310C2×(C2×D3)⋊C4C2311yescharacteristic
311C2×(C2×D3)⋊C4C2311yescharacteristic
312C2×(C2×D3)⋊C4C2311yescharacteristic
313C2×(C2×D3)⋊C4C2311yescharacteristic
314C2×(C2×D3)⋊C4C2311yescharacteristic
315C2×(C2×D3)⋊C4C2311yescharacteristic
316C2×(C2×D3)⋊C4C2311yescharacteristic
317C2×(C2×D3)⋊C4C2311yescharacteristic
318C2×(C2×D3)⋊C4C2311yescharacteristic
319C2×(C2×D3)⋊C4C2311yescharacteristic
320C2×(C2×D3)⋊C4C2311yescharacteristic
321C2×(C2×D3)⋊C4C2311yescharacteristic
322C2×(C2×D3)⋊C4C2311yescharacteristic
323C2×(C2×D3)⋊C4C2311yescharacteristic
324C2×(C2×D3)⋊C4C2311yescharacteristic
325C2×(C2×D3)⋊C4C2311yescharacteristic
326C2×(C2×D3)⋊C4C2311yescharacteristic
327C2×(C2×D3)⋊C4C2311yescharacteristic
328C2×(C2×D3)⋊C4C2311yescharacteristic
329C2×(C2×D3)⋊C4C2311yescharacteristic
330C2×C4⋊Dic3C2311yescharacteristic
331C2×C4⋊Dic3C2311yescharacteristic
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—42no—
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×Dic3⋊C4C2311yescharacteristic
362C2×Dic3⋊C4C2311yescharacteristic
363C2×Dic3⋊C4C2311yescharacteristic
364C2×C4×Dic3C2311yescharacteristic
365C2×C4×Dic3C2311yescharacteristic
366C2×C4×Dic3C2311yescharacteristic
367C2×C4×Dic3C2311yescharacteristic
368C2×C4×Dic3C2311yescharacteristic
369C2×C4×Dic3C2311yescharacteristic
370C2×C4×Dic3C2311yescharacteristic
371C2×C4×Dic3C2311yescharacteristic
372#898—24no—
373#896—24no—
374#896—24no—
375#894—24no—
376#893—24no—
377#893—42no—
378#889—24no—
379#889—24no—
380#886—24no—
381#886—24no—
382#884—24no—
383#884—42no—
384#883—24no—
385#882—24no—
386#882—24no—
387#67⋊C4—24no—
388#878D418yescomplemented
389#877—24no—
390#876—24no—
391C4×D12—24no—
392#872—24no—
393#872—24no—
394#870—24no—
395C4×Dic6—24no—
396C4×Dic6—42no—
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—
424C24×C4—31no—
425#552—68no—
426C2×#126—31no—
427C2×#126—31no—
428C2×#125—31no—
429C2×#125—31no—
430C2×#125—31no—
431#525—68no—
432C2×#123—31no—
433C2×#123—31no—
434C2×#123—31no—
435C2×#123—31no—
436C2×#123—31no—
437C2×#123—31no—
438C2×#123—31no—
439C2×#123C2×D311yescharacteristic
440C2×C22⋊Q8—31no—
441C2×C22⋊Q8—31no—
442C2×C22⋊Q8—31no—
443C2×#121—31no—
444C2×#121—31no—
445C2×#121—31no—
446C2×#121—31no—
447C2×#121—31no—
448C2×#120—31no—
449C2×#120—31no—
450C2×#120—31no—
451C2×C4×Q8—31no—
452C2×C4×Q8—31no—
453C2×C4×D4—31no—
454C2×C4×D4—31no—
455C2×C4×D4—31no—
456C2×C4×D4—31no—
457C2×C4×D4—31no—
458C2×C4×D4—31no—
459C2×C4×D4C2×D311yescharacteristic
460C2×#117—31no—
461C2×#117—31no—
462C2×#117—31no—
463C2×#117C2×D311yescharacteristic
464C22×C4⋊C4—31no—
465C22×C4⋊C4—31no—
466C22×C22⋊C4—31no—
467C22×C22⋊C4—31no—
468#399—31no—
469#399—31no—
470#399—31no—
471#399—31no—
472#399—31no—
473#399—31no—
474#399—31no—
475#399—31no—
476#398—31no—
477#398—31no—
478#397—31no—
479#397—31no—
480#396—31no—
481#396—31no—
482#396—31no—
483#396—31no—
484#396—31no—
485#396—31no—
486#396—31no—
487#396—31no—
488#394—31no—
489#394—31no—
490#394—31no—
491#394—31no—
492#394—31no—
493#394—31no—
494#394—31no—
495#394—31no—
496#392—31no—
497#392—31no—
498#392—31no—
499#392—31no—
500#391—31no—
501#390—31no—
502#390—31no—
503#390—31no—
504#390—31no—
505#390—31no—
506#390—31no—
507#390—31no—
508#390—31no—
509#390—31no—
510#390—31no—
511#390—31no—
512#390—31no—
513#390—31no—
514#390—31no—
515#390—31no—
516#389—31no—
517#389—31no—
518#389—31no—
519#389—31no—
520#389—31no—
521#389—31no—
522#389—31no—
523#389C2×D311yescharacteristic, complemented
524#388—31no—
525#388—31no—
526#388—31no—
527#388—31no—
528#388—31no—
529#388—31no—
530#388—31no—
531#388—31no—
532#388C2×D311yescharacteristic, complemented
533#388C2×D311yescharacteristic, complemented
534#387—31no—
535#387—31no—
536#387—31no—
537#387—31no—
538#387C2×D311yescharacteristic, complemented
539#387C2×D311yescharacteristic, complemented
540#386—31no—
541#386—31no—
542#386—31no—
543#386—31no—
544#386—31no—
545#386—31no—
546#386C2×D311yescharacteristic
547#385—31no—
548#385—31no—
549#385—31no—
550#385—31no—
551#385—31no—
552#385C2×D311yescharacteristic
553#385C2×D311yescharacteristic, complemented
554#384—31no—
555#384—31no—
556#380—31no—
557#380—31no—
558#380—31no—
559#380—31no—
560#380—31no—
561#380—31no—
562#380—31no—
563#380—31no—
564#380—31no—
565#380—31no—
566#380—31no—
567#379—31no—
568C4×C4⋊C4—31no—
569C4×C4⋊C4—31no—
570C4×C4⋊C4C2×D311yescharacteristic, complemented
571C4×C22⋊C4—31no—
572C4×C22⋊C4—31no—
573C4×C22⋊C4—31no—
574C4×C22⋊C4—31no—
575C4×C22⋊C4—31no—
576C4×C22⋊C4C2×D311yescharacteristic
577C4×C22⋊C4C2×D311yescharacteristic, complemented
578C2×#95—31no—
579C2×#95C2×D311yescharacteristic
580C24×C3C2411yescharacteristic
581C24×C3C2411yescharacteristic
582C23×D3—22no—
583C23×D3—22no—
584C23×D3—22no—
585C23×D3—22no—
586C23×D3—22no—
587C23×D3—41no—
588C23×D3—41no—
589C23×D3C2411yescharacteristic
590C23×D3C2411yescharacteristic
591C23×D3C2411yescharacteristic
592C23×D3C2411yescharacteristic
593C2×C3×D4—22no—
594C2×C3×D4—22no—
595C2×C3×D4—22no—
596C22×C3×C4—22no—
597C22×C3×C4—22no—
598C22×C3×C4—22no—
599C22×C3×C4—22no—
600C22×C3×C4—22no—
601C22×C3×C4—22no—
602C22×C3×C4—22no—
603C22×C3×C4—22no—
604C22×C3×C4—41no—
605C22×C3×C4—41no—
606C22×C3×C4—41no—
607C22×C3×C4—41no—
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
617C22×C3×C4C2411yescharacteristic
618C22×C3×C4C2411yescharacteristic
619C22×C3×C4C2411yescharacteristic
620C22×C3×C4C2411yescharacteristic
621C2×#67—22no—
622C2×#67—22no—
623C2×#67—22no—
624C2×#67—22no—
625C2×#67—22no—
626C2×#67—22no—
627C2×#67—22no—
628C2×#67—22no—
629C2×#67—22no—
630C2×#67—22no—
631C2×#67—22no—
632C2×#67—22no—
633C2×#67—22no—
634C2×#67—41no—
635C2×#67—41no—
636C2×#67—41no—
637C2×#67—41no—
638C2×#67—41no—
639C22×Dic3—22no—
640C22×Dic3—22no—
641C22×Dic3—22no—
642C22×Dic3—22no—
643C22×Dic3—22no—
644C22×Dic3—22no—
645C22×Dic3—41no—
646C22×Dic3—41no—
647C22×Dic3C2×D414yes—
648C22×Dic3C2411yescharacteristic
649C22×Dic3C2411yescharacteristic
650C22×Dic3C2411yescharacteristic
651C22×Dic3C2411yescharacteristic
652C22×Dic3C2411yescharacteristic
653C22×Dic3C2411yescharacteristic
654C22×Dic3C2411yescharacteristic
655C22×Dic3C2411yescharacteristic
656C22×Dic3C2411yescharacteristic
657C22×Dic3C2411yescharacteristic
658C22×Dic3C2411yescharacteristic
659C22×Dic3C2411yescharacteristic
660#235—416no—
661C2×D12—22no—
662C2×D12—22no—
663C2×D12—22no—
664C2×D12—22no—
665C2×D12—22no—
666C2×D12—22no—
667C2×D12—22no—
668C2×D12—22no—
669C2×D12—41no—
670C2×D12—41no—
671C2×D12—41no—
672C2×D12—41no—
673C2×D12—41no—
674C2×D12—41no—
675C2×D12—41no—
676C2×C4×D3—22no—
677C2×C4×D3—22no—
678C2×C4×D3—22no—
679C2×C4×D3—22no—
680C2×C4×D3—22no—
681C2×C4×D3—22no—
682C2×C4×D3—22no—
683C2×C4×D3—22no—
684C2×C4×D3—22no—
685C2×C4×D3—22no—
686C2×C4×D3—22no—
687C2×C4×D3—22no—
688C2×C4×D3—22no—
689C2×C4×D3—22no—
690C2×C4×D3—416no—
691C2×C4×D3—41no—
692C2×C4×D3—41no—
693C2×C4×D3—41no—
694C2×C4×D3#4114yes—
695C2×Dic6—22no—
696C2×Dic6—22no—
697C2×Dic6C2×D414yes—
698C3×C4⋊C4—22no—
699C3×C4⋊C4—22no—
700C3×C4⋊C4—22no—
701C3×C4⋊C4—22no—
702C3×C4⋊C4—22no—
703C3×C4⋊C4—22no—
704C3×C4⋊C4—41no—
705C3×C22⋊C4—22no—
706C3×C22⋊C4—22no—
707C3×C22⋊C4—22no—
708C3×C22⋊C4—22no—
709C3×C22⋊C4—41no—
710C3×C22⋊C4—41no—
711C3×C22⋊C4C2×D414yes—
712C3×C22⋊C4#4114yescomplemented
713C3×C42—22no—
714C3×C42—22no—
715C3×C42—22no—
716C3×C42—41no—
717C3×C42—41no—
718#217—22no—
719#217—22no—
720#217—41no—
721#217—41no—
722#217—41no—
723#217C2×D414yes—
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—22no—
734(C2×D3)⋊C4—22no—
735(C2×D3)⋊C4—22no—
736(C2×D3)⋊C4—22no—
737(C2×D3)⋊C4—22no—
738(C2×D3)⋊C4—22no—
739(C2×D3)⋊C4—22no—
740(C2×D3)⋊C4—22no—
741(C2×D3)⋊C4—22no—
742(C2×D3)⋊C4—41no—
743(C2×D3)⋊C4—41no—
744(C2×D3)⋊C4—41no—
745(C2×D3)⋊C4—41no—
746(C2×D3)⋊C4—41no—
747(C2×D3)⋊C4—41no—
748(C2×D3)⋊C4—41no—
749(C2×D3)⋊C4—41no—
750(C2×D3)⋊C4—41no—
751(C2×D3)⋊C4—41no—
752(C2×D3)⋊C4—41no—
753(C2×D3)⋊C4—41no—
754(C2×D3)⋊C4—41no—
755(C2×D3)⋊C4—41no—
756(C2×D3)⋊C4—41no—
757(C2×D3)⋊C4—41no—
758(C2×D3)⋊C4—41no—
759(C2×D3)⋊C4—41no—
760C4⋊Dic3—22no—
761C4⋊Dic3—22no—
762C4⋊Dic3—22no—
763C4⋊Dic3—22no—
764C4⋊Dic3—41no—
765C4⋊Dic3—41no—
766C4⋊Dic3—41no—
767C4⋊Dic3C2×D414yes—
768Dic3⋊C4—22no—
769Dic3⋊C4—22no—
770Dic3⋊C4—22no—
771Dic3⋊C4—22no—
772Dic3⋊C4—22no—
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—41no—
782Dic3⋊C4—41no—
783Dic3⋊C4—41no—
784Dic3⋊C4—41no—
785Dic3⋊C4—41no—
786Dic3⋊C4—41no—
787Dic3⋊C4—41no—
788Dic3⋊C4—41no—
789Dic3⋊C4—41no—
790Dic3⋊C4C2×D414yes—
791Dic3⋊C4C2×D414yes—
792C4×Dic3—22no—
793C4×Dic3—22no—
794C4×Dic3—22no—
795C4×Dic3—22no—
796C4×Dic3—22no—
797C4×Dic3—22no—
798C4×Dic3—41no—
799C4×Dic3—41no—
800C25—31no—
801C2×#41—64no—
802C2×#41—64no—
803C2×#41—122no—
804C22×Q8—31no—
805C22×D4—31no—
806C22×D4—31no—
807C22×D4—31no—
808C22×D4—31no—
809C22×D4—31no—
810C22×D4—31no—
811C22×D4—31no—
812C22×D4—31no—
813C22×D4—31no—
814C22×D4—31no—
815C22×D4—31no—
816C22×D4C22×D311yescharacteristic
817C23×C4—31no—
818C23×C4—31no—
819C23×C4—31no—
820C23×C4—31no—
821C23×C4—31no—
822C23×C4—31no—
823C23×C4—31no—
824C23×C4—31no—
825C23×C4—31no—
826C23×C4—64no—
827C23×C4—64no—
828C23×C4—122no—
829C23×C4C22×D311yescharacteristic
830C23×C4C22×D311yescharacteristic
831C23×C4C22×D311yescharacteristic
832C23×C4C22×D311yescharacteristic
833#126—64no—
834#126—64no—
835#125—64no—
836#125—64no—
837#125—64no—
838#123—24no—
839#123—64no—
840#123—64no—
841#123—64no—
842#123—64no—
843#123—64no—
844#123—122no—
845#123—122no—
846C22⋊Q8—38no—
847C22⋊Q8—64no—
848C22⋊Q8—64no—
849#121—64no—
850#121—64no—
851#121—122no—
852#121—122no—
853#121—122no—
854#120—64no—
855#120—64no—
856#120—64no—
857C4×Q8—64no—
858C4×Q8—122no—
859C4×D4—24no—
860C4×D4—64no—
861C4×D4—64no—
862C4×D4—64no—
863C4×D4—64no—
864C4×D4—64no—
865C4×D4—122no—
866#117—24no—
867#117—64no—
868#117—64no—
869#117—64no—
870C2×C4⋊C4—31no—
871C2×C4⋊C4—31no—
872C2×C4⋊C4—31no—
873C2×C4⋊C4—31no—
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—31no—
902C2×C4⋊C4—64no—
903C2×C4⋊C4—122no—
904C2×C4⋊C4C22×D311yescharacteristic
905C2×C4⋊C4C22×D311yescharacteristic
906C2×C4⋊C4C22×D311yescharacteristic
907C2×C4⋊C4C22×D311yescharacteristic
908C2×C4⋊C4C22×D311yescharacteristic
909C2×C4⋊C4C22×D311yescharacteristic
910C2×C4⋊C4C22×D311yescharacteristic
911C2×C22⋊C4—31no—
912C2×C22⋊C4—31no—
913C2×C22⋊C4—31no—
914C2×C22⋊C4—31no—
915C2×C22⋊C4—31no—
916C2×C22⋊C4—31no—
917C2×C22⋊C4—31no—
918C2×C22⋊C4—31no—
919C2×C22⋊C4—31no—
920C2×C22⋊C4—31no—
921C2×C22⋊C4—31no—
922C2×C22⋊C4—31no—
923C2×C22⋊C4—31no—
924C2×C22⋊C4—31no—
925C2×C22⋊C4—31no—
926C2×C22⋊C4—31no—
927C2×C22⋊C4—31no—
928C2×C22⋊C4—31no—
929C2×C22⋊C4—31no—
930C2×C22⋊C4—31no—
931C2×C22⋊C4—31no—
932C2×C22⋊C4—31no—
933C2×C22⋊C4—31no—
934C2×C22⋊C4—31no—
935C2×C22⋊C4—31no—
936C2×C22⋊C4—31no—
937C2×C22⋊C4—31no—
938C2×C22⋊C4—31no—
939C2×C22⋊C4—31no—
940C2×C22⋊C4—31no—
941C2×C22⋊C4—31no—
942C2×C22⋊C4—31no—
943C2×C22⋊C4—31no—
944C2×C22⋊C4—31no—
945C2×C22⋊C4—31no—
946C2×C22⋊C4—31no—
947C2×C22⋊C4—31no—
948C2×C22⋊C4—31no—
949C2×C22⋊C4—31no—
950C2×C22⋊C4—31no—
951C2×C22⋊C4—31no—
952C2×C22⋊C4—31no—
953C2×C22⋊C4—122no—
954C2×C22⋊C4—122no—
955C2×C22⋊C4C22×D311yescharacteristic
956C2×C22⋊C4C22×D311yescharacteristic
957C2×C22⋊C4C22×D311yescharacteristic
958C2×C22⋊C4C22×D311yescharacteristic
959C2×C22⋊C4C22×D311yescharacteristic
960C2×C22⋊C4C22×D311yescharacteristic
961C2×C22⋊C4C22×D311yescharacteristic
962C2×C22⋊C4C22×D311yescharacteristic
963C2×C42—31no—
964C2×C42—31no—
965C2×C42—31no—
966C2×C42—31no—
967C2×C42—31no—
968C2×C42—31no—
969C2×C42—31no—
970C2×C42—31no—
971C2×C42C22×D311yescharacteristic
972C2×C42C22×D311yescharacteristic
973C2×C42C22×D311yescharacteristic
974C2×C42C22×D311yescharacteristic
975C2×C42C22×D311yescharacteristic
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#95C22×D311yescharacteristic
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
1002C23×C3—21no—
1003C23×C3—21no—
1004C23×C3—21no—
1005C23×C3—21no—
1006C23×C3—21no—
1007C23×C3—21no—
1008C23×C3—21no—
1009C23×C3—21no—
1010C23×C3—21no—
1011C23×C3—21no—
1012C23×C3—21no—
1013C23×C3C22×D412yes—
1014C23×C3C2×#4112yes—
1015C23×C3H(5,𝔽2)12yes—
1016C23×C3C2511yescharacteristic
1017C22×D3—28no—
1018C22×D3—21no—
1019C22×D3—21no—
1020C22×D3—21no—
1021C22×D3—21no—
1022C22×D3—21no—
1023C22×D3—21no—
1024C22×D3—21no—
1025C22×D3—21no—
1026C22×D3—21no—
1027C22×D3—21no—
1028C22×D3—21no—
1029C22×D3—21no—
1030C22×D3—21no—
1031C22×D3—21no—
1032C22×D3—21no—
1033C22×D3—21no—
1034C22×D3—21no—
1035C22×D3—21no—
1036C22×D3—21no—
1037C22×D3—21no—
1038C22×D3—21no—
1039C22×D3—21no—
1040C22×D3—21no—
1041C22×D3—21no—
1042C22×D3—21no—
1043C22×D3—21no—
1044C22×D3—44no—
1045C22×D3—44no—
1046C22×D3—44no—
1047C22×D3—44no—
1048C22×D3—44no—
1049C22×D3—44no—
1050C22×D3C2×#4112yes—
1051C22×D32−1+412yes—
1052C3×D4—44no—
1053C2×C3×C4—21no—
1054C2×C3×C4—21no—
1055C2×C3×C4—21no—
1056C2×C3×C4—21no—
1057C2×C3×C4—21no—
1058C2×C3×C4—21no—
1059C2×C3×C4—21no—
1060C2×C3×C4—21no—
1061C2×C3×C4—21no—
1062C2×C3×C4—21no—
1063C2×C3×C4—21no—
1064C2×C3×C4—21no—
1065C2×C3×C4—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—44no—
1088C2×C3×C4—44no—
1089C2×C3×C4—44no—
1090C2×C3×C4—82no—
1091C2×C3×C4C22×D412yes—
1092C2×C3×C4C22×D412yes—
1093C2×C3×C4C2×#4112yes—
1094C2×C3×C4C2×#4112yes—
1095C2×C3×C4C2×#4112yes—
1096#67—44no—
1097#67—44no—
1098#67—44no—
1099#67—44no—
1100#67—44no—
1101#67—82no—
1102C2×Dic3—21no—
1103C2×Dic3—21no—
1104C2×Dic3—21no—
1105C2×Dic3—21no—
1106C2×Dic3—21no—
1107C2×Dic3—21no—
1108C2×Dic3—28no—
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—44no—
1134C2×Dic3—82no—
1135C2×Dic3C22×D412yes—
1136C2×Dic3C22×D412yes—
1137C2×Dic3C22×D412yes—
1138C2×Dic3C22×D412yes—
1139C2×Dic3C2×#4112yes—
1140C2×Dic3H(5,𝔽2)12yes—
1141D12—44no—
1142D12—44no—
1143D12—44no—
1144D12—44no—
1145D12—82no—
1146C4×D3—28no—
1147C4×D3—44no—
1148C4×D3—44no—
1149C4×D3—44no—
1150C4×D3—44no—
1151C4×D3—44no—
1152Dic6—28no—
1153C24—31no—
1154C24—31no—
1155C24—31no—
1156C24—31no—
1157C24—62no—
1158C24—62no—
1159C24—62no—
1160C24—62no—
1161C24—62no—
1162C24—121no—
1163C24—121no—
1164C24C23×D311yescharacteristic
1165C24C23×D311yescharacteristic
1166#41—1216no—
1167C2×Q8—34no—
1168C2×Q8—62no—
1169C2×Q8—62no—
1170C2×D4—22no—
1171C2×D4—22no—
1172C2×D4—22no—
1173C2×D4—62no—
1174C2×D4—62no—
1175C2×D4—62no—
1176C2×D4—62no—
1177C2×D4—62no—
1178C2×D4—62no—
1179C2×D4—62no—
1180C2×D4—62no—
1181C2×D4—62no—
1182C2×D4—62no—
1183C2×D4—62no—
1184C2×D4—62no—
1185C2×D4—62no—
1186C2×D4—62no—
1187C2×D4—62no—
1188C2×D4—62no—
1189C2×D4—62no—
1190C2×D4—62no—
1191C2×D4—62no—
1192C2×D4—62no—
1193C2×D4—62no—
1194C2×D4—121no—
1195C2×D4—121no—
1196C2×D4—121no—
1197C2×D4—121no—
1198C2×D4—121no—
1199C2×D4—121no—
1200C2×D4—121no—
1201C2×D4—121no—
1202C2×D4—121no—
1203C2×D4—121no—
1204C2×D4—121no—
1205C2×D4—121no—
1206C22×C4—22no—
1207C22×C4—22no—
1208C22×C4—22no—
1209C22×C4—22no—
1210C22×C4—22no—
1211C22×C4—22no—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—31no—
1215C22×C4—34no—
1216C22×C4—31no—
1217C22×C4—31no—
1218C22×C4—31no—
1219C22×C4—34no—
1220C22×C4—31no—
1221C22×C4—31no—
1222C22×C4—31no—
1223C22×C4—31no—
1224C22×C4—31no—
1225C22×C4—31no—
1226C22×C4—31no—
1227C22×C4—31no—
1228C22×C4—41no—
1229C22×C4—41no—
1230C22×C4—41no—
1231C22×C4—41no—
1232C22×C4—62no—
1233C22×C4—62no—
1234C22×C4—62no—
1235C22×C4—62no—
1236C22×C4—62no—
1237C22×C4—62no—
1238C22×C4—62no—
1239C22×C4—62no—
1240C22×C4—62no—
1241C22×C4—62no—
1242C22×C4—62no—
1243C22×C4—62no—
1244C22×C4—62no—
1245C22×C4—62no—
1246C22×C4—62no—
1247C22×C4—62no—
1248C22×C4—62no—
1249C22×C4—62no—
1250C22×C4—62no—
1251C22×C4—62no—
1252C22×C4—121no—
1253C22×C4—121no—
1254C22×C4—121no—
1255C22×C4—1216no—
1256C22×C4—121no—
1257C22×C4—121no—
1258C22×C4C23×D311yescharacteristic
1259C22×C4C23×D311yescharacteristic
1260C22×C4C23×D311yescharacteristic
1261C22×C4C23×D311yescharacteristic
1262C22×C4C23×D311yescharacteristic
1263C22×C4C23×D311yescharacteristic
1264C22×C4C23×D311yescharacteristic
1265C22×C4C23×D311yescharacteristic
1266C22×C4C23×D311yescharacteristic
1267C22×C4C23×D311yescharacteristic
1268C22×C4C23×D311yescharacteristic
1269C22×C4C23×D311yescharacteristic
1270C22×C4C23×D311yescharacteristic
1271C4⋊C4—22no—
1272C4⋊C4—22no—
1273C4⋊C4—22no—
1274C4⋊C4—22no—
1275C4⋊C4—22no—
1276C4⋊C4—22no—
1277C4⋊C4—34no—
1278C4⋊C4—34no—
1279C4⋊C4—34no—
1280C4⋊C4—41no—
1281C4⋊C4—62no—
1282C4⋊C4—62no—
1283C4⋊C4—62no—
1284C4⋊C4—62no—
1285C4⋊C4—62no—
1286C4⋊C4—62no—
1287C4⋊C4—62no—
1288C4⋊C4—62no—
1289C4⋊C4—62no—
1290C4⋊C4—62no—
1291C4⋊C4—62no—
1292C4⋊C4—62no—
1293C4⋊C4—62no—
1294C4⋊C4—62no—
1295C4⋊C4—62no—
1296C4⋊C4—62no—
1297C4⋊C4—62no—
1298C4⋊C4—121no—
1299C4⋊C4—121no—
1300C4⋊C4—121no—
1301C4⋊C4—121no—
1302C4⋊C4—121no—
1303C4⋊C4—121no—
1304C4⋊C4—121no—
1305C4⋊C4—121no—
1306C4⋊C4—121no—
1307C4⋊C4—121no—
1308C4⋊C4—121no—
1309C4⋊C4—121no—
1310C22⋊C4—22no—
1311C22⋊C4—22no—
1312C22⋊C4—22no—
1313C22⋊C4—22no—
1314C22⋊C4—34no—
1315C22⋊C4—41no—
1316C22⋊C4—41no—
1317C22⋊C4—62no—
1318C22⋊C4—62no—
1319C22⋊C4—62no—
1320C22⋊C4—62no—
1321C22⋊C4—62no—
1322C22⋊C4—62no—
1323C22⋊C4—62no—
1324C22⋊C4—62no—
1325C22⋊C4—62no—
1326C22⋊C4—62no—
1327C22⋊C4—62no—
1328C22⋊C4—62no—
1329C22⋊C4—62no—
1330C22⋊C4—62no—
1331C22⋊C4—62no—
1332C22⋊C4—62no—
1333C22⋊C4—62no—
1334C22⋊C4—62no—
1335C22⋊C4—62no—
1336C22⋊C4—62no—
1337C22⋊C4—121no—
1338C22⋊C4—121no—
1339C22⋊C4—121no—
1340C22⋊C4—121no—
1341C22⋊C4—121no—
1342C22⋊C4—121no—
1343C22⋊C4—121no—
1344C22⋊C4—121no—
1345C22⋊C4—121no—
1346C22⋊C4—121no—
1347C22⋊C4—121no—
1348C22⋊C4—121no—
1349C22⋊C4—121no—
1350C22⋊C4—121no—
1351C22⋊C4—121no—
1352C22⋊C4—121no—
1353C22⋊C4—121no—
1354C22⋊C4—121no—
1355C22⋊C4—121no—
1356C22⋊C4—121no—
1357C22⋊C4—121no—
1358C22⋊C4#23514yescomplemented
1359C22⋊C4D3×D414yes—
1360C42—22no—
1361C42—22no—
1362C42—22no—
1363C42—41no—
1364C42—41no—
1365C42—62no—
1366C42—62no—
1367C42—62no—
1368C42—62no—
1369C42—62no—
1370C42—62no—
1371C42—121no—
1372C42—121no—
1373C22×C3—22no—
1374C22×C3—22no—
1375C22×C3—22no—
1376C22×C3—22no—
1377C22×C3—22no—
1378C22×C3—22no—
1379C22×C3—41no—
1380C22×C3—41no—
1381C22×C3—41no—
1382C22×C3—41no—
1383C22×C3—41no—
1384C22×C3—41no—
1385C22×C3—41no—
1386C22×C3#55014yes—
1387C22×C3C23×D411yescharacteristic
1388C22×C3C22×#4111yescharacteristic
1389C22×C3C22×#4111yescharacteristic
1390C22×C3C2×H(5,𝔽2)11yescharacteristic
1391C22×C3C2×H(5,𝔽2)11yescharacteristic
1392C22×C3C2×2−1+411yescharacteristic
1393C22×C3#58511yescharacteristic
1394C2×D3—22no—
1395C2×D3—22no—
1396C2×D3—22no—
1397C2×D3—22no—
1398C2×D3—22no—
1399C2×D3—22no—
1400C2×D3—416no—
1401C2×D3—41no—
1402C2×D3—41no—
1403C2×D3—41no—
1404C2×D3—41no—
1405C2×D3—41no—
1406C2×D3—41no—
1407C2×D3—41no—
1408C2×D3—41no—
1409C2×D3—41no—
1410C2×D3—41no—
1411C2×D3—41no—
1412C2×D3—41no—
1413C2×D3—41no—
1414C2×D3—41no—
1415C2×D3—41no—
1416C2×D3—41no—
1417C2×D3—41no—
1418C2×D3—41no—
1419C2×D3—41no—
1420C2×D3—41no—
1421C2×D3—41no—
1422C2×D3—41no—
1423C3×C4—22no—
1424C3×C4—22no—
1425C3×C4—22no—
1426C3×C4—22no—
1427C3×C4—22no—
1428C3×C4—41no—
1429C3×C4—41no—
1430C3×C4—41no—
1431C3×C4—41no—
1432C3×C4—41no—
1433C3×C4—41no—
1434C3×C4—41no—
1435C3×C4—41no—
1436Dic3—22no—
1437Dic3—22no—
1438Dic3—22no—
1439Dic3—41no—
1440Dic3—41no—
1441Dic3—41no—
1442Dic3—41no—
1443Dic3—41no—
1444Dic3—41no—
1445Dic3—41no—
1446Dic3—41no—
1447Dic3#54614yes—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—32no—
1460C23—32no—
1461C23—68no—
1462C23—61no—
1463C23—61no—
1464C23—61no—
1465C23—61no—
1466C23—61no—
1467C23—61no—
1468C23—61no—
1469C23—61no—
1470C23—61no—
1471C23—61no—
1472C23—61no—
1473C23—61no—
1474C23—61no—
1475C23—61no—
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—124no—
1489C23—124no—
1490C23—124no—
1491C23—124no—
1492C23—124no—
1493C23—124no—
1494C23C2×#23512yes—
1495C23C2×D3×D412yes—
1496C23#100912yes—
1497C23C24×D311yescharacteristic
1498Q8—68no—
1499D4—44no—
1500D4—124no—
1501D4—124no—
1502D4—124no—
1503D4—124no—
1504D4—124no—
1505D4—124no—
1506D4—124no—
1507D4—124no—
1508D4—124no—
1509D4—242no—
1510D4—242no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—32no—
1546C2×C4—32no—
1547C2×C4—32no—
1548C2×C4—32no—
1549C2×C4—32no—
1550C2×C4—32no—
1551C2×C4—44no—
1552C2×C4—44no—
1553C2×C4—44no—
1554C2×C4—68no—
1555C2×C4—68no—
1556C2×C4—61no—
1557C2×C4—61no—
1558C2×C4—61no—
1559C2×C4—61no—
1560C2×C4—61no—
1561C2×C4—61no—
1562C2×C4—61no—
1563C2×C4—61no—
1564C2×C4—61no—
1565C2×C4—61no—
1566C2×C4—61no—
1567C2×C4—61no—
1568C2×C4—61no—
1569C2×C4—61no—
1570C2×C4—61no—
1571C2×C4—61no—
1572C2×C4—61no—
1573C2×C4—61no—
1574C2×C4—61no—
1575C2×C4—61no—
1576C2×C4—61no—
1577C2×C4—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—82no—
1587C2×C4—124no—
1588C2×C4—124no—
1589C2×C4—124no—
1590C2×C4—124no—
1591C2×C4—124no—
1592C2×C4—124no—
1593C2×C4—242no—
1594C2×C4C2×#23512yes—
1595C2×C4C2×#23512yes—
1596C2×C4C2×D3×D412yes—
1597C2×C4C2×D3×D412yes—
1598C2×C4D3×#4112yes—
1599C2×C3—24no—
1600C2×C3—81no—
1601C2×C3C2×#54611yescharacteristic
1602C2×C3C2×#55011yescharacteristic
1603C2×C3#347511yescharacteristic
1604C2×C3#348911yescharacteristic
1605C2×C3#349211yescharacteristic
1606C2×C3#352011yescharacteristic
1607C2×C3#354211yescharacteristic
1608D3—42no—
1609D3—42no—
1610D3—81no—
1611D3—81no—
1612C22—22no—
1613C22—22no—
1614C22—22no—
1615C22—22no—
1616C22—22no—
1617C22—22no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—62no—
1626C22—62no—
1627C22—62no—
1628C22—62no—
1629C22—62no—
1630C22—62no—
1631C22—1216no—
1632C22—121no—
1633C22—121no—
1634C22—121no—
1635C22—121no—
1636C22—121no—
1637C22—121no—
1638C22—121no—
1639C22—121no—
1640C22—121no—
1641C22—121no—
1642C22—121no—
1643C22—121no—
1644C22—121no—
1645C22—121no—
1646C22—121no—
1647C22—121no—
1648C22—121no—
1649C22—121no—
1650C22—121no—
1651C22—121no—
1652C22—121no—
1653C22—121no—
1654C22#555314yes—
1655C22C22×#23511yescharacteristic
1656C22C22×D3×D411yescharacteristic
1657C22C2×D3×#4111yescharacteristic
1658C22C2×#100911yescharacteristic
1659C22#596411yescharacteristic
1660C22D3×H(5,𝔽2)11yescharacteristic
1661C22D3×2−1+411yescharacteristic
1662C4—22no—
1663C4—22no—
1664C4—22no—
1665C4—22no—
1666C4—22no—
1667C4—34no—
1668C4—41no—
1669C4—41no—
1670C4—41no—
1671C4—41no—
1672C4—41no—
1673C4—41no—
1674C4—41no—
1675C4—41no—
1676C4—62no—
1677C4—62no—
1678C4—62no—
1679C4—121no—
1680C4—121no—
1681C4—121no—
1682C4—121no—
1683C4—121no—
1684C4—121no—
1685C4—121no—
1686C4—121no—
1687C3#5902211yescharacteristic, complemented, Sylow
1688C2—24no—
1689C2—81no—
1690C2—122no—
1691C2—122no—
1692C2—241no—
1693C2—241no—
1694C2C2×#555311yescharacteristic
1695C2#8584111yescharacteristic
1696C2#8590711yescharacteristic
1697C2D3×#54611yescharacteristic
1698C2#8667711yescharacteristic
1699C2#8680511yescharacteristic
1700C2#8686011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2359C2
hypercenter#2359D3
hypocenterC3#59022
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2359

Complements

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

NH ≅ G/Ntype
1. C2×#5547C2semidirect
2. C2×#5531C2semidirect
3. C3×#2359C2semidirect
4. #82901C2semidirect
5. #82859C2semidirect
6. #82355C2semidirect
7. #82275C2semidirect
8. #76110C2semidirect
9. #76059C2semidirect
10. #75686C2semidirect
11. #75674C2semidirect
12. #75545C2semidirect
13. #75495C2semidirect
14. #75153C2semidirect
15. #75002C2semidirect
16. #74984C2semidirect
17. #74982C2semidirect
18. #74889C2semidirect
19. #74692C2semidirect
20. #74426C2semidirect
21. #74404C2semidirect
22. #74395C2semidirect
23. #74379C2semidirect
24. #73677C2semidirect
25. #73639C2semidirect
26. #73597C2semidirect
27. #73499C2semidirect
28. #73466C2semidirect
29. #73454C2semidirect
30. C2×#4667C2semidirect
31. #73349C2semidirect
53. C2×#898C22semidirect
55. C2×#896C22semidirect
59. C2×#889C22semidirect
60. C2×#889C22semidirect
64. C2×#884C22semidirect
71. C2×#876C22semidirect
74. C2×#872C22semidirect
75. C2×#870C22semidirect
76. C2×C4×Dic6C22semidirect
77. C2×C4×Dic6C22semidirect
78. C3×#389C22semidirect
79. C3×#388C22semidirect
80. C3×#388C22semidirect
81. C3×#387C22semidirect
82. C3×#387C22semidirect
85. C3×#385C22semidirect
86. C3×C4×C4⋊C4C22semidirect
88. C3×C4×C22⋊C4C22semidirect
91. #5213C22semidirect
92. #5212C22semidirect
97. #4994C22semidirect
100. #4993C22semidirect
101. #4993C22semidirect
104. #4990C22semidirect
107. #4989C22semidirect
110. #4981C22semidirect
111. #4975C22semidirect
112. #4975C22semidirect
113. Dic3×C4⋊C4C22semidirect
114. #4972C22semidirect
115. #4961C22semidirect
120. #4959C22semidirect
126. #4957C22semidirect
127. #4957C22semidirect
128. #4957C22semidirect
130. #4953C22semidirect
132. #4949C22semidirect
133. #4949C22semidirect
134. #4948C22semidirect
139. #4940C22semidirect
146. #4933C22semidirect
147. C4×Dic3⋊C4C22semidirect
148. #4928C22semidirect
149. #4928C22semidirect
154. #4676C22semidirect
155. #4676C22semidirect
156. #4675C22semidirect
157. #4672C22semidirect
158. #4672C22semidirect
163. #4669C22semidirect
164. #4669C22semidirect
173. #4667C22semidirect
174. #4667C22semidirect
177. #4666C22semidirect
180. #4665C22semidirect
181. #4657C22semidirect
182. #4654C22semidirect
183. #4654C22semidirect
184. #4654C22semidirect
185. #4647C22semidirect
186. #4647C22semidirect
187. #4647C22semidirect
188. #4647C22semidirect
189. #4646C22semidirect
216. #2359D3semidirect
388. #878D4semidirect
523. #389C2×D3semidirect
532. #388C2×D3semidirect
533. #388C2×D3semidirect
538. #387C2×D3semidirect
539. #387C2×D3semidirect
553. #385C2×D3semidirect
570. C4×C4⋊C4C2×D3semidirect
577. C4×C22⋊C4C2×D3semidirect
712. C3×C22⋊C4#41semidirect
1358. C22⋊C4#235semidirect
1687. C3#59022semidirect

Maximal subgroups

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

subgroupindex
C2×#55472
C2×#55312
C3×#23592
#829012
#828592
#823552
#822752
#761102
#760592
#756862
#756742
#755452
#754952
#751532
#750022
#749842
#749822
#748892
#746922
#744262
#744042
#743952
#743792
#736772
#736392
#735972
#734992
#734662
#734542
C2×#46672
#733492
#590223