Finite Group Databasebeta

← #11141381

Subgroups — #11141381

Order 768.

2752 conjugacy classes of subgroups.

The subgroup lattice has 1904 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5663C211yesmaximal, characteristic, complemented
2C2×#5490C211yesmaximal, characteristic, complemented
3C3×#2418C211yesmaximal, characteristic, complemented
4#82896C211yesmaximal, characteristic, complemented
5#82609C211yesmaximal, characteristic, complemented
6#82588C211yesmaximal, characteristic, complemented
7#82409C211yesmaximal, characteristic, complemented
8#82347C211yesmaximal, characteristic, complemented
9#82109C211yesmaximal, characteristic, complemented
10#78111C211yesmaximal, characteristic, complemented
11#78063C211yesmaximal, characteristic, complemented
12#77689C211yesmaximal, characteristic, complemented
13#77565C211yesmaximal, characteristic, complemented
14#77160C211yesmaximal, characteristic, complemented
15#77134C211yesmaximal, characteristic, complemented
16#77128C211yesmaximal, characteristic, complemented
17#77086C211yesmaximal, characteristic, complemented
18#75857C211yesmaximal, characteristic, complemented
19#75846C211yesmaximal, characteristic, complemented
20#75835C211yesmaximal, characteristic, complemented
21#75650C211yesmaximal, characteristic, complemented
22#74896C211yesmaximal, characteristic, complemented
23#74791C211yesmaximal, characteristic, complemented
24#74783C211yesmaximal, characteristic, complemented
25#74698C211yesmaximal, characteristic, complemented
26#74496C211yesmaximal, characteristic, complemented
27#74432C211yesmaximal, characteristic, complemented
28#74030C211yesmaximal, characteristic, complemented
29#73962C211yesmaximal, characteristic, complemented
30#73857C211yesmaximal, characteristic, complemented
31#73855C211yesmaximal, characteristic, complemented
32#41955—31nomaximal, Sylow
33C23×#67C2211yescharacteristic
34C22×#235C2211yescharacteristic
35C2×C3×#123C2211yescharacteristic
36C2×C3×#120C2211yescharacteristic
37C2×C3×C4×D4C2211yescharacteristic, complemented
38C22×C3×C22⋊C4C2211yescharacteristic
39C2×#953C2211yescharacteristic
40C2×#953C2211yescharacteristic
41C2×#953C2211yescharacteristic
42C2×#940C2211yescharacteristic
43C2×#940C2211yescharacteristic
44C2×#940C2211yescharacteristic
45C2×#939C2211yescharacteristic
46C2×#938C2211yescharacteristic, complemented
47C2×#937C2211yescharacteristic
48C2×#930C2211yescharacteristic
49C2×#930C2211yescharacteristic, complemented
50C2×#930C2211yescharacteristic, complemented
51C2×#929C2211yescharacteristic
52C2×C4×#67C2211yescharacteristic
53C2×C4×#67C2211yescharacteristic, complemented
54C2×C4×#67C2211yescharacteristic, complemented
55C2×C4×#67C2211yescharacteristic, complemented
56#5663—28no—
57C2×#895C2211yescharacteristic, complemented
58C2×#895C2211yescharacteristic, complemented
59C2×#895C2211yescharacteristic, complemented
60C2×#895C2211yescharacteristic, complemented
61C2×#894C2211yescharacteristic, complemented
62C2×#892C2211yescharacteristic, complemented
63C2×#889C2211yescharacteristic, complemented
64C2×#886C2211yescharacteristic
65C2×#885C2211yescharacteristic
66#5490—28no—
67C2×#884C2211yescharacteristic
68C2×#884C2211yescharacteristic
69C2×#884C2211yescharacteristic
70C2×#884C2211yescharacteristic
71C2×#884C2211yescharacteristic, complemented
72C2×#884C2211yescharacteristic, complemented
73C2×#884C2211yescharacteristic, complemented
74C2×#884C2211yescharacteristic, complemented
75C2×#883C2211yescharacteristic
76C2×#883C2211yescharacteristic, complemented
77C2×#882C2211yescharacteristic
78C2×#882C2211yescharacteristic
79C2×#882C2211yescharacteristic
80C2×#67⋊C4C2211yescharacteristic
81C2×D3×C22⋊C4C2211yescharacteristic
82C2×#878C2211yescharacteristic
83C2×C4×D12C2211yescharacteristic, complemented
84C3×#399C2211yescharacteristic, complemented
85C3×#397C2211yescharacteristic
86C3×#394C2211yescharacteristic
87C3×#394C2211yescharacteristic, complemented
88C3×#388C2211yescharacteristic
89C3×#388C2211yescharacteristic, complemented
90C3×#386C2211yescharacteristic, complemented
91C3×#386C2211yescharacteristic, complemented
92C3×#385C2211yescharacteristic, complemented
93C3×#380C2211yescharacteristic, complemented
94C3×#379C2211yescharacteristic
95#5223C2211yescharacteristic
96#5223C2211yescharacteristic
97#5223C2211yescharacteristic, complemented
98#5223C2211yescharacteristic, complemented
99#5223C2211yescharacteristic, complemented
100#5222C2211yescharacteristic
101#5213C2211yescharacteristic, complemented
102#5213C2211yescharacteristic, complemented
103#5210C2211yescharacteristic, complemented
104#4994C2211yescharacteristic, complemented
105#4993C2211yescharacteristic, complemented
106#4993C2211yescharacteristic, complemented
107#4993C2211yescharacteristic, complemented
108#4993C2211yescharacteristic, complemented
109#4990C2211yescharacteristic, complemented
110#4990C2211yescharacteristic, complemented
111#4989C2211yescharacteristic, complemented
112#4987C2211yescharacteristic, complemented
113#4987C2211yescharacteristic, complemented
114#4984C2211yescharacteristic, complemented
115#4982C2211yescharacteristic, complemented
116#4978C2211yescharacteristic, complemented
117#4961C2211yescharacteristic
118#4961C2211yescharacteristic
119#4961C2211yescharacteristic
120#4961C2211yescharacteristic
121#4961C2211yescharacteristic
122#4961C2211yescharacteristic
123#4961C2211yescharacteristic, complemented
124#4961C2211yescharacteristic, complemented
125#4961C2211yescharacteristic, complemented
126#4960C2211yescharacteristic
127#4960C2211yescharacteristic
128#4960C2211yescharacteristic
129#4960C2211yescharacteristic
130#4960C2211yescharacteristic
131#4960C2211yescharacteristic
132#4960C2211yescharacteristic, complemented
133#4960C2211yescharacteristic, complemented
134#4960C2211yescharacteristic, complemented
135#4960C2211yescharacteristic, complemented
136#4960C2211yescharacteristic, complemented
137#4960C2211yescharacteristic, complemented
138#4959C2211yescharacteristic
139#4959C2211yescharacteristic
140#4959C2211yescharacteristic, complemented
141#4957C2211yescharacteristic
142#4957C2211yescharacteristic
143#4957C2211yescharacteristic, complemented
144#4956C2211yescharacteristic
145#4956C2211yescharacteristic
146#4956C2211yescharacteristic, complemented
147#4956C2211yescharacteristic, complemented
148#4956C2211yescharacteristic, complemented
149#4956C2211yescharacteristic, complemented
150#4956C2211yescharacteristic, complemented
151#4955C2211yescharacteristic
152#4952C2211yescharacteristic
153#4952C2211yescharacteristic, complemented
154#4951C2211yescharacteristic
155#4951C2211yescharacteristic, complemented
156#4949C2211yescharacteristic, complemented
157#4949C2211yescharacteristic, complemented
158#4948C2211yescharacteristic, complemented
159#4947C2211yescharacteristic, complemented
160#4945C2211yescharacteristic, complemented
161#4943C2211yescharacteristic
162Dic3×C22⋊C4C2211yescharacteristic
163#4939C2211yescharacteristic, complemented
164C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
165#4932C2211yescharacteristic, complemented
166#4675C2211yescharacteristic, complemented
167#4673C2211yescharacteristic, complemented
168#4673C2211yescharacteristic, complemented
169#4672C2211yescharacteristic, complemented
170#4671C2211yescharacteristic, complemented
171#4671C2211yescharacteristic, complemented
172#4671C2211yescharacteristic, complemented
173#4670C2211yescharacteristic, complemented
174#4669C2211yescharacteristic, complemented
175#4669C2211yescharacteristic, complemented
176#4668C2211yescharacteristic, complemented
177#4666C2211yescharacteristic, complemented
178#4665C2211yescharacteristic, complemented
179#4665C2211yescharacteristic, complemented
180#4665C2211yescharacteristic, complemented
181#4665C2211yescharacteristic, complemented
182#4665C2211yescharacteristic, complemented
183D3×#95C2211yescharacteristic, complemented
184#4660C2211yescharacteristic, complemented
185#4657C2211yescharacteristic, complemented
186#4656C2211yescharacteristic, complemented
187#4655C2211yescharacteristic, complemented
188#4651C2211yescharacteristic, complemented
189#4647C2211yescharacteristic, complemented
190C2×#546—31no—
191C2×#540—31no—
192#2816—31no—
193#2813—31no—
194#2694—31no—
195#2694—31no—
196#2673—31no—
197#2673—31no—
198#2669—31no—
199#2669—31no—
200#2668—31no—
201#2668—31no—
202#2663—31no—
203#2656—31no—
204#2631—31no—
205#2615—31no—
206#2613—31no—
207#2610—31no—
208#2598—31no—
209#2464—31no—
210#2464—31no—
211#2433—31no—
212#2430—31no—
213#2428—31no—
214#2428—31no—
215#2424—31no—
216#2424—31no—
217#2418—31no—
218#2418D311yescharacteristic, complemented
219#2397—31no—
220#2353—31no—
221C25×C3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C22×#67—24no—
230C22×#67—42no—
231C22×#67—42no—
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C22×#67C2311yescharacteristic
242C22×#67C2311yescharacteristic
243C22×#67C2311yescharacteristic
244C22×#67C2311yescharacteristic
245C22×#67C2311yescharacteristic
246C22×#67C2311yescharacteristic
247C22×#67C2311yescharacteristic
248C22×#67C2311yescharacteristic
249C22×#67C2311yescharacteristic
250C23×Dic3C2311yescharacteristic
251C2×#235—24no—
252C2×#235—42no—
253C2×#235—42no—
254C22×D12C2311yescharacteristic
255C22×D12C2311yescharacteristic
256C22×D12C2311yescharacteristic
257C22×D12C2311yescharacteristic
258C22×D12C2311yescharacteristic
259C22×D12C2311yescharacteristic
260C22×D12C2311yescharacteristic
261C22×D12C2311yescharacteristic
262C22×D12C2311yescharacteristic
263C22×C4×D3C2311yescharacteristic
264C22×C4×D3C2311yescharacteristic
265C22×C4×D3C2311yescharacteristic
266C22×C4×D3C2311yescharacteristic
267C22×C4×D3C2311yescharacteristic
268C22×C4×D3C2311yescharacteristic
269C22×C4×D3C2311yescharacteristic
270C22×Dic6C2311yescharacteristic
271C3×#123—24no—
272C3×#120—42no—
273C3×C4×D4—42no—
274C2×C3×C4⋊C4C2311yescharacteristic
275C2×C3×C4⋊C4C2311yescharacteristic
276C2×C3×C4⋊C4C2311yescharacteristic
277C2×C3×C4⋊C4C2311yescharacteristic
278C2×C3×C4⋊C4C2311yescharacteristic
279C2×C3×C22⋊C4—24no—
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×C22⋊C4C2311yescharacteristic
290C2×C3×C22⋊C4C2311yescharacteristic
291C2×C3×C22⋊C4C2311yescharacteristic
292C2×C3×C22⋊C4C2311yescharacteristic
293C2×C3×C22⋊C4C2311yescharacteristic
294C2×C3×C22⋊C4C2311yescharacteristic
295C2×C3×C22⋊C4C2311yescharacteristic
296C2×C3×C42C2311yescharacteristic
297#953—24no—
298#953—42no—
299#953—42no—
300C2×#217C2311yescharacteristic
301C2×#217C2311yescharacteristic
302C2×#217C2311yescharacteristic
303C2×#217C2311yescharacteristic
304C2×#217C2311yescharacteristic
305C2×#217C2311yescharacteristic
306C2×#217C2311yescharacteristic
307C2×#217C2311yescharacteristic
308C2×#217C2311yescharacteristic
309C2×#217C2311yescharacteristic
310C2×#217C2311yescharacteristic
311C2×#217C2311yescharacteristic
312#940—24no—
313#940—42no—
314#940—42no—
315#939—24no—
316#938—42no—
317#937—42no—
318#930—24no—
319#930—24no—
320#930—42no—
321#929—24no—
322C4×#67—24no—
323C4×#67—24no—
324C4×#67—42no—
325C4×#67—42no—
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×(C2×D3)⋊C4C2311yescharacteristic
351C2×(C2×D3)⋊C4C2311yescharacteristic
352C2×(C2×D3)⋊C4C2311yescharacteristic
353C2×(C2×D3)⋊C4C2311yescharacteristic
354C2×(C2×D3)⋊C4C2311yescharacteristic
355C2×(C2×D3)⋊C4C2311yescharacteristic
356C2×C4⋊Dic3C2311yescharacteristic
357C2×C4⋊Dic3C2311yescharacteristic
358C2×C4⋊Dic3C2311yescharacteristic
359C2×C4⋊Dic3C2311yescharacteristic
360C2×C4⋊Dic3C2311yescharacteristic
361C2×C4⋊Dic3C2311yescharacteristic
362C2×Dic3⋊C4C2311yescharacteristic
363C2×Dic3⋊C4C2311yescharacteristic
364C2×Dic3⋊C4C2311yescharacteristic
365C2×Dic3⋊C4C2311yescharacteristic
366C2×Dic3⋊C4C2311yescharacteristic
367C2×Dic3⋊C4C2311yescharacteristic
368C2×Dic3⋊C4C2311yescharacteristic
369C2×Dic3⋊C4C2311yescharacteristic
370C2×Dic3⋊C4C2311yescharacteristic
371C2×Dic3⋊C4C2311yescharacteristic
372C2×C4×Dic3C2311yescharacteristic
373C2×C4×Dic3C2311yescharacteristic
374C2×C4×Dic3C2311yescharacteristic
375C2×C4×Dic3C2311yescharacteristic
376C2×C4×Dic3C2311yescharacteristic
377#895—24no—
378#895—42no—
379#895—42no—
380#895—42no—
381#894—24no—
382#892—24no—
383#889—24no—
384#886—24no—
385#885—24no—
386#884—24no—
387#884—24no—
388#884—24no—
389#884—24no—
390#884—24no—
391#884—42no—
392#884—42no—
393#884—42no—
394#883—24no—
395#883—24no—
396#882—24no—
397#882—42no—
398#882—42no—
399#67⋊C4D418yescomplemented
400D3×C22⋊C4—24no—
401#878—24no—
402C4×D12—42no—
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—
431#546—68no—
432#540—68no—
433C2×#127—31no—
434C2×#127—31no—
435C2×#127—31no—
436C2×#125—31no—
437C2×#124—31no—
438C2×#123—31no—
439C2×#123—31no—
440C2×#123—31no—
441C2×#123—31no—
442C2×#123—31no—
443C2×#123C2×D311yescharacteristic
444C2×C22⋊Q8—31no—
445C2×#121—31no—
446C2×#121—31no—
447C2×#121—31no—
448C2×#121—31no—
449C2×#121—31no—
450C2×#121—31no—
451C2×#121—31no—
452C2×#121—31no—
453C2×#121—31no—
454C2×#121—31no—
455C2×#121—31no—
456C2×#121—31no—
457C2×#121—31no—
458C2×#121—31no—
459C2×#121—31no—
460C2×#121—31no—
461C2×#121—31no—
462C2×#120—31no—
463C2×#120—31no—
464C2×#120—31no—
465C2×#120—31no—
466C2×#120—31no—
467C2×#120—31no—
468C2×#120—31no—
469C2×#120C2×D311yescharacteristic
470C2×C4×D4—31no—
471C2×C4×D4—31no—
472C2×C4×D4—31no—
473C2×C4×D4—31no—
474C2×C4×D4—31no—
475C2×C4×D4—31no—
476C2×C4×D4C2×D311yescharacteristic, complemented
477C2×#117—31no—
478C22×C22⋊C4—31no—
479C22×C22⋊C4C2×D311yescharacteristic
480#400—31no—
481#399—31no—
482#399—31no—
483#399—31no—
484#399—31no—
485#399—31no—
486#399—31no—
487#399C2×D311yescharacteristic, complemented
488#398—31no—
489#398—31no—
490#397—31no—
491#397—31no—
492#397—31no—
493#397C2×D311yescharacteristic
494#396—31no—
495#396—31no—
496#395—31no—
497#394—31no—
498#394—31no—
499#394—31no—
500#394—31no—
501#394—31no—
502#394—31no—
503#394—31no—
504#394—31no—
505#394—31no—
506#394—31no—
507#394—31no—
508#394—31no—
509#394—31no—
510#394—31no—
511#394C2×D311yescharacteristic
512#394C2×D311yescharacteristic, complemented
513#393—31no—
514#393—31no—
515#393—31no—
516#392—31no—
517#392—31no—
518#392—31no—
519#392—31no—
520#392—31no—
521#392—31no—
522#392—31no—
523#392—31no—
524#392—31no—
525#392—31no—
526#392—31no—
527#392—31no—
528#392—31no—
529#392—31no—
530#392—31no—
531#392—31no—
532#392—31no—
533#392—31no—
534#392—31no—
535#392—31no—
536#390—31no—
537#390—31no—
538#390—31no—
539#390—31no—
540#389—31no—
541#389—31no—
542#388—31no—
543#388—31no—
544#388—31no—
545#388—31no—
546#388—31no—
547#388—31no—
548#388—31no—
549#388—31no—
550#388C2×D311yescharacteristic
551#388C2×D311yescharacteristic, complemented
552#387—31no—
553#387—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#386—31no—
564#386—31no—
565#386—31no—
566#386—31no—
567#386—31no—
568#386C2×D311yescharacteristic, complemented
569#386C2×D311yescharacteristic, complemented
570#385—31no—
571#385—31no—
572#385—31no—
573#385C2×D311yescharacteristic, complemented
574#383—31no—
575#381—31no—
576#380—31no—
577#380—31no—
578#380C2×D311yescharacteristic, complemented
579#379—31no—
580#379C2×D311yescharacteristic
581C4×C22⋊C4—31no—
582C4×C22⋊C4—31no—
583C4×C22⋊C4—31no—
584#376—31no—
585C2×#95—31no—
586C24×C3—22no—
587C24×C3—22no—
588C24×C3—41no—
589C24×C3—41no—
590C24×C3—41no—
591C24×C3—41no—
592C24×C3—41no—
593C24×C3C2411yescharacteristic
594C24×C3C2411yescharacteristic
595C24×C3C2411yescharacteristic
596C24×C3C2411yescharacteristic
597C23×D3—22no—
598C23×D3—22no—
599C23×D3—41no—
600C23×D3—41no—
601C23×D3—41no—
602C23×D3—41no—
603C23×D3—41no—
604C23×D3C2411yescharacteristic
605C23×D3C2411yescharacteristic
606C23×D3C2411yescharacteristic
607C23×D3C2411yescharacteristic
608C23×D3C2411yescharacteristic
609C2×C3×D4—22no—
610C2×C3×D4—22no—
611C2×C3×D4—22no—
612C2×C3×D4—41no—
613C2×C3×D4—41no—
614C2×C3×D4—41no—
615C2×C3×D4—41no—
616C2×C3×D4—41no—
617C2×C3×D4—41no—
618C22×C3×C4—22no—
619C22×C3×C4—22no—
620C22×C3×C4—22no—
621C22×C3×C4—22no—
622C22×C3×C4—41no—
623C22×C3×C4—41no—
624C22×C3×C4—41no—
625C22×C3×C4—41no—
626C22×C3×C4—41no—
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—22no—
656C2×#67—22no—
657C2×#67—22no—
658C2×#67—22no—
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—
671C2×#67—41no—
672C2×#67—41no—
673C2×#67—41no—
674C2×#67—41no—
675C2×#67—41no—
676C2×#67—41no—
677C2×#67—41no—
678C2×#67—41no—
679C2×#67—41no—
680C2×#67—41no—
681C2×#67—41no—
682C2×#67—41no—
683C2×#67—41no—
684C2×#67—41no—
685C2×#67—41no—
686C2×#67—41no—
687C2×#67—41no—
688C2×#67—41no—
689C2×#67—41no—
690C2×#67—41no—
691C2×#67—416no—
692C2×#67C2×D414yes—
693C22×Dic3—41no—
694C22×Dic3—41no—
695C22×Dic3C2×D414yes—
696C22×Dic3C2411yescharacteristic
697C22×Dic3C2411yescharacteristic
698C22×Dic3C2411yescharacteristic
699C22×Dic3C2411yescharacteristic
700C22×Dic3C2411yescharacteristic
701C22×Dic3C2411yescharacteristic
702C22×Dic3C2411yescharacteristic
703C22×Dic3C2411yescharacteristic
704C22×Dic3C2411yescharacteristic
705C22×Dic3C2411yescharacteristic
706C22×Dic3C2411yescharacteristic
707#235—416no—
708C2×D12—22no—
709C2×D12—22no—
710C2×D12—22no—
711C2×D12—22no—
712C2×D12—22no—
713C2×D12—22no—
714C2×D12—22no—
715C2×D12—22no—
716C2×D12—22no—
717C2×D12—41no—
718C2×D12—41no—
719C2×D12—41no—
720C2×D12—41no—
721C2×D12—41no—
722C2×D12—41no—
723C2×D12—41no—
724C2×D12—41no—
725C2×D12—41no—
726C2×D12—41no—
727C2×D12—41no—
728C2×D12—41no—
729C2×D12—41no—
730C2×D12—41no—
731C2×D12—41no—
732C2×D12—41no—
733C2×D12—41no—
734C2×D12—41no—
735C2×C4×D3—22no—
736C2×C4×D3—22no—
737C2×C4×D3—22no—
738C2×C4×D3—22no—
739C2×C4×D3—22no—
740C2×C4×D3—22no—
741C2×C4×D3—22no—
742C2×C4×D3—41no—
743C2×C4×D3—41no—
744C2×C4×D3—41no—
745C2×C4×D3—41no—
746C2×C4×D3—41no—
747C2×C4×D3—41no—
748C2×C4×D3—41no—
749C2×C4×D3—41no—
750C2×C4×D3—41no—
751C2×C4×D3—41no—
752C2×C4×D3—41no—
753C2×C4×D3—41no—
754C2×C4×D3—41no—
755C2×C4×D3C2×D414yes—
756C2×Dic6—22no—
757C2×Dic6—41no—
758C2×Dic6—41no—
759C3×C4⋊C4—22no—
760C3×C4⋊C4—22no—
761C3×C4⋊C4—22no—
762C3×C4⋊C4—41no—
763C3×C4⋊C4—41no—
764C3×C22⋊C4—22no—
765C3×C22⋊C4—22no—
766C3×C22⋊C4—22no—
767C3×C22⋊C4—22no—
768C3×C22⋊C4—22no—
769C3×C22⋊C4—22no—
770C3×C22⋊C4—22no—
771C3×C22⋊C4—41no—
772C3×C22⋊C4—41no—
773C3×C22⋊C4—41no—
774C3×C22⋊C4—41no—
775C3×C22⋊C4—41no—
776C3×C22⋊C4—41no—
777C3×C22⋊C4—41no—
778C3×C22⋊C4—41no—
779C3×C22⋊C4C2×D414yes—
780C3×C42—22no—
781#217—22no—
782#217—22no—
783#217—22no—
784#217—22no—
785#217—22no—
786#217—22no—
787#217—22no—
788#217—41no—
789#217—41no—
790#217—41no—
791#217—41no—
792#217—41no—
793(C2×D3)⋊C4—22no—
794(C2×D3)⋊C4—22no—
795(C2×D3)⋊C4—22no—
796(C2×D3)⋊C4—22no—
797(C2×D3)⋊C4—22no—
798(C2×D3)⋊C4—22no—
799(C2×D3)⋊C4—22no—
800(C2×D3)⋊C4—22no—
801(C2×D3)⋊C4—22no—
802(C2×D3)⋊C4—22no—
803(C2×D3)⋊C4—22no—
804(C2×D3)⋊C4—22no—
805(C2×D3)⋊C4—22no—
806(C2×D3)⋊C4—22no—
807(C2×D3)⋊C4—41no—
808(C2×D3)⋊C4—41no—
809(C2×D3)⋊C4—41no—
810(C2×D3)⋊C4—41no—
811(C2×D3)⋊C4—41no—
812(C2×D3)⋊C4—41no—
813(C2×D3)⋊C4—41no—
814(C2×D3)⋊C4—41no—
815(C2×D3)⋊C4—41no—
816(C2×D3)⋊C4—41no—
817(C2×D3)⋊C4—41no—
818(C2×D3)⋊C4—41no—
819(C2×D3)⋊C4—41no—
820(C2×D3)⋊C4—41no—
821(C2×D3)⋊C4—41no—
822(C2×D3)⋊C4C2×D414yes—
823C4⋊Dic3—22no—
824C4⋊Dic3—22no—
825C4⋊Dic3—22no—
826C4⋊Dic3—41no—
827C4⋊Dic3—41no—
828C4⋊Dic3—41no—
829Dic3⋊C4—22no—
830Dic3⋊C4—22no—
831Dic3⋊C4—22no—
832Dic3⋊C4—22no—
833Dic3⋊C4—22no—
834Dic3⋊C4—22no—
835Dic3⋊C4—41no—
836Dic3⋊C4—41no—
837Dic3⋊C4—41no—
838Dic3⋊C4C2×D414yes—
839C4×Dic3—22no—
840C4×Dic3—22no—
841C4×Dic3—41no—
842C4×Dic3—41no—
843C4×Dic3C2×D414yes—
844C25—31no—
845C25C22×D311yescharacteristic
846C2×#41—64no—
847C2×#41—122no—
848C2×#41—122no—
849C22×Q8—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—31no—
861C22×D4—31no—
862C22×D4—31no—
863C22×D4—31no—
864C22×D4—31no—
865C22×D4—31no—
866C22×D4—31no—
867C22×D4—31no—
868C22×D4—31no—
869C22×D4—31no—
870C22×D4—31no—
871C22×D4—31no—
872C22×D4—31no—
873C22×D4—31no—
874C22×D4—31no—
875C22×D4—31no—
876C22×D4—31no—
877C22×D4—64no—
878C22×D4—122no—
879C22×D4—122no—
880C22×D4C22×D311yescharacteristic
881C22×D4C22×D311yescharacteristic
882C22×D4C22×D311yescharacteristic
883C23×C4—31no—
884C23×C4—31no—
885C23×C4—31no—
886C23×C4—31no—
887C23×C4—31no—
888C23×C4—31no—
889C23×C4—31no—
890C23×C4—31no—
891C23×C4C22×D311yescharacteristic
892C23×C4C22×D311yescharacteristic
893C23×C4C22×D311yescharacteristic
894#127—64no—
895#127—122no—
896#127—122no—
897#125—64no—
898#124—64no—
899#123—24no—
900#123—64no—
901#123—64no—
902#123—64no—
903#123—64no—
904#123—64no—
905C22⋊Q8—64no—
906#121—64no—
907#121—64no—
908#121—64no—
909#121—64no—
910#121—64no—
911#121—64no—
912#121—64no—
913#121—64no—
914#121—64no—
915#121—122no—
916#121—122no—
917#121—122no—
918#121—122no—
919#121—122no—
920#121—122no—
921#121—122no—
922#121—122no—
923#120—42no—
924#120—64no—
925#120—64no—
926#120—122no—
927#120—122no—
928#120—122no—
929#120—122no—
930#120—122no—
931C4×D4—38no—
932C4×D4—42no—
933C4×D4—64no—
934C4×D4—64no—
935C4×D4—122no—
936C4×D4—122no—
937C4×D4—122no—
938#117—64no—
939C2×C4⋊C4—31no—
940C2×C4⋊C4—31no—
941C2×C4⋊C4—31no—
942C2×C4⋊C4—31no—
943C2×C4⋊C4—31no—
944C2×C4⋊C4—31no—
945C2×C4⋊C4—31no—
946C2×C4⋊C4—31no—
947C2×C4⋊C4—31no—
948C2×C4⋊C4—31no—
949C2×C4⋊C4—31no—
950C2×C4⋊C4—31no—
951C2×C4⋊C4—31no—
952C2×C4⋊C4—31no—
953C2×C4⋊C4—31no—
954C2×C4⋊C4—31no—
955C2×C4⋊C4C22×D311yescharacteristic
956C2×C4⋊C4C22×D311yescharacteristic
957C2×C4⋊C4C22×D311yescharacteristic
958C2×C4⋊C4C22×D311yescharacteristic
959C2×C4⋊C4C22×D311yescharacteristic
960C2×C22⋊C4—24no—
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—31no—
991C2×C22⋊C4—31no—
992C2×C22⋊C4—31no—
993C2×C22⋊C4—31no—
994C2×C22⋊C4—31no—
995C2×C22⋊C4—31no—
996C2×C22⋊C4—31no—
997C2×C22⋊C4—31no—
998C2×C22⋊C4—31no—
999C2×C22⋊C4—31no—
1000C2×C22⋊C4—31no—
1001C2×C22⋊C4—31no—
1002C2×C22⋊C4—31no—
1003C2×C22⋊C4—64no—
1004C2×C22⋊C4C22×D311yescharacteristic
1005C2×C22⋊C4C22×D311yescharacteristic
1006C2×C22⋊C4C22×D311yescharacteristic
1007C2×C22⋊C4C22×D311yescharacteristic
1008C2×C22⋊C4C22×D311yescharacteristic
1009C2×C22⋊C4C22×D311yescharacteristic
1010C2×C22⋊C4C22×D311yescharacteristic
1011C2×C22⋊C4C22×D311yescharacteristic
1012C2×C22⋊C4C22×D311yescharacteristic
1013C2×C22⋊C4C22×D311yescharacteristic
1014C2×C22⋊C4C22×D311yescharacteristic
1015C2×C22⋊C4C22×D311yescharacteristic
1016C2×C22⋊C4C22×D311yescharacteristic
1017C2×C22⋊C4C22×D311yescharacteristic
1018C2×C22⋊C4C22×D311yescharacteristic
1019C2×C22⋊C4C22×D311yescharacteristic
1020C2×C42—31no—
1021C2×C42—31no—
1022C2×C42—31no—
1023C2×C42—31no—
1024C2×C42—31no—
1025C2×C42C22×D311yescharacteristic
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#95—31no—
1038#95—31no—
1039#95—31no—
1040#95—31no—
1041#95—31no—
1042#95—31no—
1043#95—31no—
1044#95—31no—
1045#95—31no—
1046#95C22×D311yescharacteristic
1047#95C22×D311yescharacteristic
1048#95C22×D311yescharacteristic
1049#95C22×D311yescharacteristic
1050#95C22×D311yescharacteristic
1051#95C22×D311yescharacteristic
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×C3—21no—
1063C23×C3—21no—
1064C23×C3—21no—
1065C23×C3—21no—
1066C23×C3—21no—
1067C23×C3—21no—
1068C23×C3—21no—
1069C23×C3—21no—
1070C23×C3—21no—
1071C23×C3—21no—
1072C23×C3—21no—
1073C23×C3—21no—
1074C23×C3—21no—
1075C23×C3—21no—
1076C23×C3—21no—
1077C23×C3—21no—
1078C23×C3—44no—
1079C23×C3—44no—
1080C23×C3—82no—
1081C23×C3—82no—
1082C23×C3—82no—
1083C23×C3—82no—
1084C23×C3—82no—
1085C23×C3C22×D412yes—
1086C23×C3H(5,𝔽2)12yes—
1087C23×C3C2511yescharacteristic
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—21no—
1098C22×D3—21no—
1099C22×D3—21no—
1100C22×D3—21no—
1101C22×D3—21no—
1102C22×D3—21no—
1103C22×D3—21no—
1104C22×D3—21no—
1105C22×D3—21no—
1106C22×D3—21no—
1107C22×D3—21no—
1108C22×D3—21no—
1109C22×D3—21no—
1110C22×D3—21no—
1111C22×D3—21no—
1112C22×D3—21no—
1113C22×D3—21no—
1114C22×D3—21no—
1115C22×D3—21no—
1116C22×D3—21no—
1117C22×D3—21no—
1118C22×D3—21no—
1119C22×D3—21no—
1120C22×D3—21no—
1121C22×D3—44no—
1122C22×D3—44no—
1123C22×D3—82no—
1124C22×D3—82no—
1125C22×D3—82no—
1126C22×D3—82no—
1127C22×D3—82no—
1128C22×D3C22×D412yes—
1129C22×D3H(5,𝔽2)12yes—
1130C3×D4—44no—
1131C3×D4—82no—
1132C3×D4—82no—
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—21no—
1148C2×C3×C4—21no—
1149C2×C3×C4—21no—
1150C2×C3×C4—21no—
1151C2×C3×C4—21no—
1152C2×C3×C4—21no—
1153C2×C3×C4—21no—
1154C2×C3×C4—21no—
1155C2×C3×C4—21no—
1156C2×C3×C4—21no—
1157C2×C3×C4—21no—
1158C2×C3×C4—21no—
1159C2×C3×C4—21no—
1160C2×C3×C4—21no—
1161C2×C3×C4—21no—
1162C2×C3×C4—21no—
1163C2×C3×C4—44no—
1164C2×C3×C4—82no—
1165C2×C3×C4—82no—
1166C2×C3×C4C22×D412yes—
1167C2×C3×C4C22×D412yes—
1168C2×C3×C4H(5,𝔽2)12yes—
1169#67—28no—
1170#67—44no—
1171#67—44no—
1172#67—44no—
1173#67—44no—
1174#67—44no—
1175#67—44no—
1176#67—44no—
1177#67—44no—
1178#67—82no—
1179#67—82no—
1180#67—82no—
1181#67—82no—
1182#67—82no—
1183#67—82no—
1184#67—82no—
1185#67—82no—
1186#67—82no—
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—21no—
1197C2×Dic3—21no—
1198C2×Dic3—21no—
1199C2×Dic3—21no—
1200C2×Dic3—21no—
1201C2×Dic3—21no—
1202C2×Dic3—21no—
1203C2×Dic3—21no—
1204C2×Dic3—21no—
1205C2×Dic3—21no—
1206C2×Dic3—21no—
1207C2×Dic3—21no—
1208C2×Dic3—21no—
1209C2×Dic3—21no—
1210C2×Dic3—21no—
1211C2×Dic3—21no—
1212C2×Dic3—21no—
1213C2×Dic3—21no—
1214C2×Dic3—21no—
1215C2×Dic3—21no—
1216C2×Dic3—44no—
1217C2×Dic3C22×D412yes—
1218C2×Dic3C22×D412yes—
1219C2×Dic3C22×D412yes—
1220C2×Dic3H(5,𝔽2)12yes—
1221D12—44no—
1222D12—44no—
1223D12—82no—
1224D12—82no—
1225D12—82no—
1226D12—82no—
1227D12—82no—
1228D12—82no—
1229D12—82no—
1230C4×D3—44no—
1231C4×D3—44no—
1232C4×D3—44no—
1233C4×D3—82no—
1234C4×D3—82no—
1235C4×D3—82no—
1236C4×D3—82no—
1237Dic6—44no—
1238C24—22no—
1239C24—22no—
1240C24—31no—
1241C24—31no—
1242C24—31no—
1243C24—31no—
1244C24—31no—
1245C24—41no—
1246C24—41no—
1247C24—41no—
1248C24—41no—
1249C24—41no—
1250C24—62no—
1251C24—62no—
1252C24—121no—
1253C24—121no—
1254C24—121no—
1255C24—121no—
1256C24—121no—
1257C24C23×D311yescharacteristic
1258C24C23×D311yescharacteristic
1259C24C23×D311yescharacteristic
1260C24C23×D311yescharacteristic
1261#41—1216no—
1262C2×Q8—62no—
1263C2×Q8—121no—
1264C2×Q8—121no—
1265C2×D4—22no—
1266C2×D4—22no—
1267C2×D4—22no—
1268C2×D4—34no—
1269C2×D4—41no—
1270C2×D4—41no—
1271C2×D4—41no—
1272C2×D4—41no—
1273C2×D4—41no—
1274C2×D4—41no—
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—62no—
1287C2×D4—62no—
1288C2×D4—62no—
1289C2×D4—62no—
1290C2×D4—62no—
1291C2×D4—62no—
1292C2×D4—62no—
1293C2×D4—62no—
1294C2×D4—62no—
1295C2×D4—62no—
1296C2×D4—62no—
1297C2×D4—62no—
1298C2×D4—62no—
1299C2×D4—62no—
1300C2×D4—62no—
1301C2×D4—62no—
1302C2×D4—62no—
1303C2×D4—62no—
1304C2×D4—62no—
1305C2×D4—121no—
1306C2×D4—121no—
1307C2×D4—121no—
1308C2×D4—121no—
1309C2×D4—121no—
1310C2×D4—121no—
1311C2×D4—121no—
1312C2×D4—121no—
1313C2×D4—121no—
1314C2×D4—121no—
1315C2×D4—121no—
1316C2×D4—121no—
1317C2×D4—121no—
1318C2×D4—121no—
1319C2×D4—121no—
1320C2×D4—121no—
1321C2×D4—121no—
1322C2×D4—121no—
1323C2×D4—121no—
1324C2×D4—121no—
1325C2×D4—121no—
1326C2×D4—121no—
1327C2×D4—121no—
1328C2×D4—121no—
1329C2×D4—121no—
1330C2×D4—121no—
1331C2×D4—121no—
1332C2×D4—121no—
1333C2×D4—121no—
1334C2×D4—121no—
1335C2×D4—121no—
1336C2×D4—121no—
1337C2×D4—121no—
1338C2×D4—121no—
1339C2×D4—121no—
1340C2×D4—121no—
1341C2×D4—121no—
1342C2×D4—121no—
1343C2×D4—121no—
1344C2×D4—121no—
1345C2×D4—121no—
1346C2×D4—121no—
1347C2×D4—121no—
1348C2×D4—121no—
1349C2×D4—121no—
1350C2×D4—121no—
1351C2×D4—121no—
1352C2×D4—121no—
1353C2×D4—121no—
1354C2×D4—121no—
1355C2×D4—1216no—
1356C22×C4—22no—
1357C22×C4—22no—
1358C22×C4—22no—
1359C22×C4—22no—
1360C22×C4—31no—
1361C22×C4—31no—
1362C22×C4—31no—
1363C22×C4—31no—
1364C22×C4—34no—
1365C22×C4—34no—
1366C22×C4—31no—
1367C22×C4—31no—
1368C22×C4—31no—
1369C22×C4—31no—
1370C22×C4—31no—
1371C22×C4—31no—
1372C22×C4—31no—
1373C22×C4—41no—
1374C22×C4—41no—
1375C22×C4—41no—
1376C22×C4—41no—
1377C22×C4—41no—
1378C22×C4—62no—
1379C22×C4—62no—
1380C22×C4—62no—
1381C22×C4—62no—
1382C22×C4—62no—
1383C22×C4—62no—
1384C22×C4—62no—
1385C22×C4—121no—
1386C22×C4—121no—
1387C22×C4—121no—
1388C22×C4—121no—
1389C22×C4—121no—
1390C22×C4—121no—
1391C22×C4—121no—
1392C22×C4—121no—
1393C22×C4—121no—
1394C22×C4—121no—
1395C22×C4—121no—
1396C22×C4—121no—
1397C22×C4—121no—
1398C22×C4—121no—
1399C22×C4—121no—
1400C22×C4C23×D311yescharacteristic
1401C22×C4C23×D311yescharacteristic
1402C22×C4C23×D311yescharacteristic
1403C22×C4C23×D311yescharacteristic
1404C22×C4C23×D311yescharacteristic
1405C22×C4C23×D311yescharacteristic
1406C22×C4C23×D311yescharacteristic
1407C22×C4C23×D311yescharacteristic
1408C22×C4C23×D311yescharacteristic
1409C22×C4C23×D311yescharacteristic
1410C22×C4C23×D311yescharacteristic
1411C4⋊C4—22no—
1412C4⋊C4—22no—
1413C4⋊C4—22no—
1414C4⋊C4—34no—
1415C4⋊C4—41no—
1416C4⋊C4—41no—
1417C4⋊C4—62no—
1418C4⋊C4—62no—
1419C4⋊C4—62no—
1420C4⋊C4—62no—
1421C4⋊C4—62no—
1422C4⋊C4—62no—
1423C4⋊C4—62no—
1424C4⋊C4—62no—
1425C4⋊C4—62no—
1426C4⋊C4—121no—
1427C4⋊C4—121no—
1428C4⋊C4—121no—
1429C4⋊C4—121no—
1430C4⋊C4—121no—
1431C4⋊C4—121no—
1432C22⋊C4—22no—
1433C22⋊C4—22no—
1434C22⋊C4—22no—
1435C22⋊C4—22no—
1436C22⋊C4—22no—
1437C22⋊C4—22no—
1438C22⋊C4—22no—
1439C22⋊C4—34no—
1440C22⋊C4—41no—
1441C22⋊C4—41no—
1442C22⋊C4—41no—
1443C22⋊C4—41no—
1444C22⋊C4—41no—
1445C22⋊C4—41no—
1446C22⋊C4—41no—
1447C22⋊C4—41no—
1448C22⋊C4—62no—
1449C22⋊C4—62no—
1450C22⋊C4—62no—
1451C22⋊C4—62no—
1452C22⋊C4—62no—
1453C22⋊C4—62no—
1454C22⋊C4—62no—
1455C22⋊C4—62no—
1456C22⋊C4—62no—
1457C22⋊C4—62no—
1458C22⋊C4—62no—
1459C22⋊C4—62no—
1460C22⋊C4—62no—
1461C22⋊C4—62no—
1462C22⋊C4—62no—
1463C22⋊C4—62no—
1464C22⋊C4—62no—
1465C22⋊C4—62no—
1466C22⋊C4—62no—
1467C22⋊C4—62no—
1468C22⋊C4—62no—
1469C22⋊C4—121no—
1470C22⋊C4—121no—
1471C22⋊C4—121no—
1472C22⋊C4—121no—
1473C22⋊C4—121no—
1474C22⋊C4—121no—
1475C22⋊C4—121no—
1476C22⋊C4—121no—
1477C22⋊C4—121no—
1478C22⋊C4—121no—
1479C22⋊C4—121no—
1480C22⋊C4—121no—
1481C22⋊C4—121no—
1482C22⋊C4—121no—
1483C22⋊C4—121no—
1484C22⋊C4—121no—
1485C22⋊C4—121no—
1486C22⋊C4—121no—
1487C22⋊C4—121no—
1488C22⋊C4—121no—
1489C22⋊C4D3×D414yes—
1490C42—22no—
1491C42—34no—
1492C42—62no—
1493C42—62no—
1494C42—121no—
1495C42—121no—
1496C22×C3—22no—
1497C22×C3—22no—
1498C22×C3—22no—
1499C22×C3—22no—
1500C22×C3—22no—
1501C22×C3—22no—
1502C22×C3—41no—
1503C22×C3—41no—
1504C22×C3—41no—
1505C22×C3—41no—
1506C22×C3—41no—
1507C22×C3—41no—
1508C22×C3—41no—
1509C22×C3—41no—
1510C22×C3—41no—
1511C22×C3—41no—
1512C22×C3—41no—
1513C22×C3—41no—
1514C22×C3—41no—
1515C22×C3—41no—
1516C22×C3—41no—
1517C22×C3—41no—
1518C22×C3—41no—
1519C22×C3—41no—
1520C22×C3—41no—
1521C22×C3—41no—
1522C22×C3—41no—
1523C22×C3—41no—
1524C22×C3—88no—
1525C22×C3C23×D411yescharacteristic
1526C22×C3C2×H(5,𝔽2)11yescharacteristic
1527C22×C3C2×H(5,𝔽2)11yescharacteristic
1528C22×C3C2×H(5,𝔽2)11yescharacteristic
1529C22×C3C2×H(5,𝔽2)11yescharacteristic
1530C22×C3#58511yescharacteristic
1531C22×C3#58511yescharacteristic
1532C2×D3—22no—
1533C2×D3—22no—
1534C2×D3—22no—
1535C2×D3—22no—
1536C2×D3—22no—
1537C2×D3—22no—
1538C2×D3—41no—
1539C2×D3—41no—
1540C2×D3—41no—
1541C2×D3—41no—
1542C2×D3—41no—
1543C2×D3—41no—
1544C2×D3—41no—
1545C2×D3—41no—
1546C2×D3—41no—
1547C2×D3—41no—
1548C2×D3—41no—
1549C2×D3—41no—
1550C2×D3—41no—
1551C2×D3—41no—
1552C2×D3—41no—
1553C2×D3—41no—
1554C2×D3—41no—
1555C2×D3—41no—
1556C2×D3—41no—
1557C2×D3—41no—
1558C2×D3—41no—
1559C2×D3—41no—
1560C2×D3—41no—
1561C2×D3—41no—
1562C2×D3—41no—
1563C2×D3—41no—
1564C2×D3—41no—
1565C2×D3—41no—
1566C2×D3—41no—
1567C2×D3—88no—
1568C3×C4—22no—
1569C3×C4—22no—
1570C3×C4—22no—
1571C3×C4—41no—
1572C3×C4—41no—
1573C3×C4—41no—
1574C3×C4—41no—
1575C3×C4—41no—
1576C3×C4—41no—
1577C3×C4—41no—
1578C3×C4—41no—
1579Dic3—22no—
1580Dic3—22no—
1581Dic3—22no—
1582Dic3—22no—
1583Dic3—41no—
1584Dic3—41no—
1585Dic3—41no—
1586Dic3—41no—
1587Dic3—41no—
1588Dic3—41no—
1589Dic3—41no—
1590C23—21no—
1591C23—21no—
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—21no—
1607C23—21no—
1608C23—21no—
1609C23—21no—
1610C23—21no—
1611C23—21no—
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—21no—
1616C23—32no—
1617C23—32no—
1618C23—44no—
1619C23—44no—
1620C23—61no—
1621C23—61no—
1622C23—61no—
1623C23—61no—
1624C23—61no—
1625C23—61no—
1626C23—61no—
1627C23—61no—
1628C23—61no—
1629C23—61no—
1630C23—61no—
1631C23—61no—
1632C23—61no—
1633C23—61no—
1634C23—61no—
1635C23—61no—
1636C23—61no—
1637C23—61no—
1638C23—61no—
1639C23—61no—
1640C23—61no—
1641C23—61no—
1642C23—61no—
1643C23—61no—
1644C23—61no—
1645C23—61no—
1646C23—61no—
1647C23—61no—
1648C23—61no—
1649C23—61no—
1650C23—61no—
1651C23—61no—
1652C23—61no—
1653C23—82no—
1654C23—82no—
1655C23—82no—
1656C23—82no—
1657C23—82no—
1658C23—124no—
1659C23—124no—
1660C23—242no—
1661C23—242no—
1662C23—242no—
1663C23—242no—
1664C23—242no—
1665C23C2×D3×D412yes—
1666C23#100912yes—
1667C23C24×D311yescharacteristic
1668Q8—124no—
1669D4—44no—
1670D4—68no—
1671D4—82no—
1672D4—82no—
1673D4—124no—
1674D4—124no—
1675D4—124no—
1676D4—124no—
1677D4—124no—
1678D4—124no—
1679D4—124no—
1680D4—124no—
1681D4—124no—
1682D4—124no—
1683D4—242no—
1684D4—242no—
1685D4—242no—
1686D4—242no—
1687D4—242no—
1688D4—242no—
1689D4—242no—
1690D4—242no—
1691D4—242no—
1692D4—242no—
1693D4—242no—
1694D4—242no—
1695D4—242no—
1696D4—242no—
1697D4—242no—
1698D4—242no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—32no—
1730C2×C4—32no—
1731C2×C4—32no—
1732C2×C4—32no—
1733C2×C4—44no—
1734C2×C4—61no—
1735C2×C4—61no—
1736C2×C4—61no—
1737C2×C4—61no—
1738C2×C4—61no—
1739C2×C4—61no—
1740C2×C4—61no—
1741C2×C4—61no—
1742C2×C4—61no—
1743C2×C4—61no—
1744C2×C4—61no—
1745C2×C4—61no—
1746C2×C4—61no—
1747C2×C4—61no—
1748C2×C4—61no—
1749C2×C4—61no—
1750C2×C4—61no—
1751C2×C4—61no—
1752C2×C4—61no—
1753C2×C4—61no—
1754C2×C4—61no—
1755C2×C4—61no—
1756C2×C4—61no—
1757C2×C4—61no—
1758C2×C4—61no—
1759C2×C4—61no—
1760C2×C4—61no—
1761C2×C4—61no—
1762C2×C4—61no—
1763C2×C4—82no—
1764C2×C4—82no—
1765C2×C4—124no—
1766C2×C4—124no—
1767C2×C4—124no—
1768C2×C4—124no—
1769C2×C4—242no—
1770C2×C4—242no—
1771C2×C4—242no—
1772C2×C4—242no—
1773C2×C4C2×D3×D412yes—
1774C2×C4C2×D3×D412yes—
1775C2×C4#100412yes—
1776C2×C3—42no—
1777C2×C3—42no—
1778C2×C3—81no—
1779C2×C3—81no—
1780C2×C3#344911yescharacteristic
1781C2×C3#348411yescharacteristic
1782C2×C3#349811yescharacteristic
1783C2×C3#353411yescharacteristic
1784C2×C3#353411yescharacteristic
1785C2×C3#354211yescharacteristic
1786C2×C3#354211yescharacteristic
1787D3—42no—
1788D3—42no—
1789D3—81no—
1790D3—81no—
1791D3—81no—
1792C22—22no—
1793C22—22no—
1794C22—22no—
1795C22—22no—
1796C22—22no—
1797C22—22no—
1798C22—41no—
1799C22—41no—
1800C22—41no—
1801C22—41no—
1802C22—41no—
1803C22—41no—
1804C22—41no—
1805C22—41no—
1806C22—41no—
1807C22—41no—
1808C22—41no—
1809C22—41no—
1810C22—41no—
1811C22—41no—
1812C22—41no—
1813C22—41no—
1814C22—41no—
1815C22—41no—
1816C22—41no—
1817C22—41no—
1818C22—41no—
1819C22—41no—
1820C22—62no—
1821C22—62no—
1822C22—62no—
1823C22—62no—
1824C22—62no—
1825C22—62no—
1826C22—88no—
1827C22—121no—
1828C22—121no—
1829C22—121no—
1830C22—121no—
1831C22—121no—
1832C22—121no—
1833C22—121no—
1834C22—121no—
1835C22—121no—
1836C22—121no—
1837C22—121no—
1838C22—121no—
1839C22—121no—
1840C22—121no—
1841C22—121no—
1842C22—121no—
1843C22—121no—
1844C22—121no—
1845C22—121no—
1846C22—121no—
1847C22—121no—
1848C22—121no—
1849C22—121no—
1850C22—121no—
1851C22—121no—
1852C22—121no—
1853C22—121no—
1854C22—121no—
1855C22—121no—
1856C22—248no—
1857C22C22×D3×D411yescharacteristic
1858C22C2×#100411yescharacteristic
1859C22C2×#100911yescharacteristic
1860C22#596411yescharacteristic
1861C22#596411yescharacteristic
1862C22D3×H(5,𝔽2)11yescharacteristic
1863C22D3×H(5,𝔽2)11yescharacteristic
1864C4—22no—
1865C4—22no—
1866C4—22no—
1867C4—41no—
1868C4—41no—
1869C4—41no—
1870C4—41no—
1871C4—41no—
1872C4—41no—
1873C4—41no—
1874C4—41no—
1875C4—62no—
1876C4—62no—
1877C4—62no—
1878C4—62no—
1879C4—121no—
1880C4—121no—
1881C4—121no—
1882C4—121no—
1883C4—121no—
1884C4—121no—
1885C4—121no—
1886C3#4195511yescharacteristic, complemented, Sylow
1887C2—42no—
1888C2—42no—
1889C2—81no—
1890C2—81no—
1891C2—122no—
1892C2—122no—
1893C2—241no—
1894C2—241no—
1895C2—241no—
1896C2#8601711yescharacteristic
1897C2#8603511yescharacteristic
1898C2#8642111yescharacteristic
1899C2#8660811yescharacteristic
1900C2#8664911yescharacteristic
1901C2#8666211yescharacteristic
1902C2#8680511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2418C2
hypercenter#2418D3
hypocenterC3#41955
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2418

Complements

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

NH ≅ G/Ntype
1. C2×#5663C2semidirect
2. C2×#5490C2semidirect
3. C3×#2418C2semidirect
4. #82896C2semidirect
5. #82609C2semidirect
6. #82588C2semidirect
7. #82409C2semidirect
8. #82347C2semidirect
9. #82109C2semidirect
10. #78111C2semidirect
11. #78063C2semidirect
12. #77689C2semidirect
13. #77565C2semidirect
14. #77160C2semidirect
15. #77134C2semidirect
16. #77128C2semidirect
17. #77086C2semidirect
18. #75857C2semidirect
19. #75846C2semidirect
20. #75835C2semidirect
21. #75650C2semidirect
22. #74896C2semidirect
23. #74791C2semidirect
24. #74783C2semidirect
25. #74698C2semidirect
26. #74496C2semidirect
27. #74432C2semidirect
28. #74030C2semidirect
29. #73962C2semidirect
30. #73857C2semidirect
31. #73855C2semidirect
37. C2×C3×C4×D4C22semidirect
46. C2×#938C22semidirect
49. C2×#930C22semidirect
50. C2×#930C22semidirect
53. C2×C4×#67C22semidirect
54. C2×C4×#67C22semidirect
55. C2×C4×#67C22semidirect
57. C2×#895C22semidirect
58. C2×#895C22semidirect
59. C2×#895C22semidirect
60. C2×#895C22semidirect
61. C2×#894C22semidirect
62. C2×#892C22semidirect
63. C2×#889C22semidirect
71. C2×#884C22semidirect
72. C2×#884C22semidirect
73. C2×#884C22semidirect
74. C2×#884C22semidirect
76. C2×#883C22semidirect
83. C2×C4×D12C22semidirect
84. C3×#399C22semidirect
87. C3×#394C22semidirect
89. C3×#388C22semidirect
90. C3×#386C22semidirect
91. C3×#386C22semidirect
92. C3×#385C22semidirect
93. C3×#380C22semidirect
97. #5223C22semidirect
98. #5223C22semidirect
99. #5223C22semidirect
101. #5213C22semidirect
102. #5213C22semidirect
103. #5210C22semidirect
104. #4994C22semidirect
105. #4993C22semidirect
106. #4993C22semidirect
107. #4993C22semidirect
108. #4993C22semidirect
109. #4990C22semidirect
110. #4990C22semidirect
111. #4989C22semidirect
112. #4987C22semidirect
113. #4987C22semidirect
114. #4984C22semidirect
115. #4982C22semidirect
116. #4978C22semidirect
123. #4961C22semidirect
124. #4961C22semidirect
125. #4961C22semidirect
132. #4960C22semidirect
133. #4960C22semidirect
134. #4960C22semidirect
135. #4960C22semidirect
136. #4960C22semidirect
137. #4960C22semidirect
140. #4959C22semidirect
143. #4957C22semidirect
146. #4956C22semidirect
147. #4956C22semidirect
148. #4956C22semidirect
149. #4956C22semidirect
150. #4956C22semidirect
153. #4952C22semidirect
155. #4951C22semidirect
156. #4949C22semidirect
157. #4949C22semidirect
158. #4948C22semidirect
159. #4947C22semidirect
160. #4945C22semidirect
163. #4939C22semidirect
164. C4×(C2×D3)⋊C4C22semidirect
165. #4932C22semidirect
166. #4675C22semidirect
167. #4673C22semidirect
168. #4673C22semidirect
169. #4672C22semidirect
170. #4671C22semidirect
171. #4671C22semidirect
172. #4671C22semidirect
173. #4670C22semidirect
174. #4669C22semidirect
175. #4669C22semidirect
176. #4668C22semidirect
177. #4666C22semidirect
178. #4665C22semidirect
179. #4665C22semidirect
180. #4665C22semidirect
181. #4665C22semidirect
182. #4665C22semidirect
183. D3×#95C22semidirect
184. #4660C22semidirect
185. #4657C22semidirect
186. #4656C22semidirect
187. #4655C22semidirect
188. #4651C22semidirect
189. #4647C22semidirect
218. #2418D3semidirect
399. #67⋊C4D4semidirect
476. C2×C4×D4C2×D3semidirect
487. #399C2×D3semidirect
512. #394C2×D3semidirect
551. #388C2×D3semidirect
568. #386C2×D3semidirect
569. #386C2×D3semidirect
573. #385C2×D3semidirect
578. #380C2×D3semidirect
1886. C3#41955semidirect

Maximal subgroups

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

subgroupindex
C2×#56632
C2×#54902
C3×#24182
#828962
#826092
#825882
#824092
#823472
#821092
#781112
#780632
#776892
#775652
#771602
#771342
#771282
#770862
#758572
#758462
#758352
#756502
#748962
#747912
#747832
#746982
#744962
#744322
#740302
#739622
#738572
#738552
#419553