Finite Group Databasebeta

← #11097868

Subgroups — #11097868

Order 768.

2700 conjugacy classes of subgroups.

The subgroup lattice has 1894 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5644C211yesmaximal, characteristic, complemented
2C2×#5599C211yesmaximal, characteristic, complemented
3C3×#2672C211yesmaximal, characteristic, complemented
4#82979C211yesmaximal, characteristic, complemented
5#82975C211yesmaximal, characteristic, complemented
6#82906C211yesmaximal, characteristic, complemented
7#82901C211yesmaximal, characteristic, complemented
8#82826C211yesmaximal, characteristic, complemented
9#82714C211yesmaximal, characteristic, complemented
10#78111C211yesmaximal, characteristic, complemented
11#78025C211yesmaximal, characteristic, complemented
12#77448C211yesmaximal, characteristic, complemented
13#77292C211yesmaximal, characteristic, complemented
14#77203C211yesmaximal, characteristic, complemented
15#77187C211yesmaximal, characteristic, complemented
16#77162C211yesmaximal, characteristic, complemented
17#77128C211yesmaximal, characteristic, complemented
18#77128C211yesmaximal, characteristic, complemented
19#76979C211yesmaximal, characteristic, complemented
20#76903C211yesmaximal, characteristic, complemented
21#76889C211yesmaximal, characteristic, complemented
22#76220C211yesmaximal, characteristic, complemented
23#76097C211yesmaximal, characteristic, complemented
24#75912C211yesmaximal, characteristic, complemented
25#75835C211yesmaximal, characteristic, complemented
26#74885C211yesmaximal, characteristic, complemented
27#74791C211yesmaximal, characteristic, complemented
28#74606C211yesmaximal, characteristic, complemented
29#74427C211yesmaximal, characteristic, complemented
30#74030C211yesmaximal, characteristic, complemented
31#73906C211yesmaximal, characteristic, complemented
32#40501—31nomaximal, Sylow
33C22×#237C2211yescharacteristic
34C22×#235C2211yescharacteristic, complemented
35C2×C3×#124C2211yescharacteristic, complemented
36C2×C3×#123C2211yescharacteristic
37C2×C3×C22⋊Q8C2211yescharacteristic
38C2×C3×#121C2211yescharacteristic
39C2×#947C2211yescharacteristic
40C2×#947C2211yescharacteristic
41C2×#947C2211yescharacteristic, complemented
42C2×#940C2211yescharacteristic
43C2×#940C2211yescharacteristic
44C2×#940C2211yescharacteristic
45C2×#940C2211yescharacteristic, complemented
46C2×#939C2211yescharacteristic
47C2×#939C2211yescharacteristic, complemented
48C2×#937C2211yescharacteristic
49C2×#937C2211yescharacteristic
50C2×#930C2211yescharacteristic
51C2×#930C2211yescharacteristic
52C2×#929C2211yescharacteristic
53C2×C4×#67C2211yescharacteristic, complemented
54C22×(C2×D3)⋊C4C2211yescharacteristic
55#5644—28no—
56#5599—28no—
57C2×#898C2211yescharacteristic
58C2×#898C2211yescharacteristic
59C2×#895C2211yescharacteristic
60C2×#895C2211yescharacteristic
61C2×#895C2211yescharacteristic
62C2×#895C2211yescharacteristic
63C2×#895C2211yescharacteristic
64C2×#895C2211yescharacteristic, complemented
65C2×#895C2211yescharacteristic, complemented
66C2×#894C2211yescharacteristic
67C2×#894C2211yescharacteristic
68C2×#893C2211yescharacteristic, complemented
69C2×#887C2211yescharacteristic, complemented
70C2×#884C2211yescharacteristic
71C2×#884C2211yescharacteristic
72C2×#884C2211yescharacteristic
73C2×#884C2211yescharacteristic, complemented
74C2×#884C2211yescharacteristic, complemented
75C2×#882C2211yescharacteristic
76C2×#882C2211yescharacteristic
77C2×#882C2211yescharacteristic
78C2×#882C2211yescharacteristic
79C2×#67⋊C4C2211yescharacteristic
80C2×#67⋊C4C2211yescharacteristic
81C2×#67⋊C4C2211yescharacteristic, complemented
82C2×#67⋊C4C2211yescharacteristic, complemented
83C2×#874C2211yescharacteristic
84C3×#399C2211yescharacteristic, complemented
85C3×#396C2211yescharacteristic, complemented
86C3×#395C2211yescharacteristic, complemented
87C3×#394C2211yescharacteristic
88C3×#394C2211yescharacteristic
89C3×#394C2211yescharacteristic, complemented
90C3×#389C2211yescharacteristic, complemented
91C3×#388C2211yescharacteristic
92C3×#386C2211yescharacteristic
93C3×#385C2211yescharacteristic, complemented
94C3×#380C2211yescharacteristic, complemented
95#5230C2211yescharacteristic, complemented
96#5223C2211yescharacteristic
97#5223C2211yescharacteristic
98#5223C2211yescharacteristic
99#5213C2211yescharacteristic
100#5213C2211yescharacteristic
101#4994C2211yescharacteristic, complemented
102#4993C2211yescharacteristic
103#4993C2211yescharacteristic
104#4993C2211yescharacteristic, complemented
105#4993C2211yescharacteristic, complemented
106#4991C2211yescharacteristic
107#4991C2211yescharacteristic
108#4991C2211yescharacteristic, complemented
109#4991C2211yescharacteristic, complemented
110#4990C2211yescharacteristic
111#4990C2211yescharacteristic
112#4990C2211yescharacteristic
113#4990C2211yescharacteristic, complemented
114#4990C2211yescharacteristic, complemented
115#4989C2211yescharacteristic, complemented
116#4988C2211yescharacteristic
117#4988C2211yescharacteristic
118#4987C2211yescharacteristic, complemented
119#4987C2211yescharacteristic, complemented
120#4980C2211yescharacteristic, complemented
121#4979C2211yescharacteristic, complemented
122#4978C2211yescharacteristic, complemented
123#4976C2211yescharacteristic, complemented
124#4961C2211yescharacteristic
125#4961C2211yescharacteristic, complemented
126#4961C2211yescharacteristic, complemented
127#4960C2211yescharacteristic
128#4960C2211yescharacteristic
129#4960C2211yescharacteristic
130#4960C2211yescharacteristic
131#4960C2211yescharacteristic
132#4960C2211yescharacteristic
133#4960C2211yescharacteristic
134#4960C2211yescharacteristic
135#4960C2211yescharacteristic
136#4960C2211yescharacteristic
137#4960C2211yescharacteristic
138#4960C2211yescharacteristic
139#4960C2211yescharacteristic
140#4960C2211yescharacteristic, complemented
141#4960C2211yescharacteristic, complemented
142#4960C2211yescharacteristic, complemented
143#4960C2211yescharacteristic, complemented
144#4960C2211yescharacteristic, complemented
145#4959C2211yescharacteristic
146#4959C2211yescharacteristic
147#4959C2211yescharacteristic, complemented
148#4959C2211yescharacteristic, complemented
149#4959C2211yescharacteristic, complemented
150#4958C2211yescharacteristic
151#4958C2211yescharacteristic
152#4957C2211yescharacteristic
153#4957C2211yescharacteristic
154#4956C2211yescharacteristic
155#4956C2211yescharacteristic
156#4956C2211yescharacteristic, complemented
157#4956C2211yescharacteristic, complemented
158#4951C2211yescharacteristic
159#4945C2211yescharacteristic, complemented
160#4943C2211yescharacteristic
161Dic3×C22⋊C4C2211yescharacteristic
162Dic3×C22⋊C4C2211yescharacteristic, complemented
163#4940C2211yescharacteristic
164C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
165#4932C2211yescharacteristic, complemented
166#4673C2211yescharacteristic
167#4673C2211yescharacteristic
168#4673C2211yescharacteristic, complemented
169#4672C2211yescharacteristic
170#4671C2211yescharacteristic
171#4671C2211yescharacteristic
172#4671C2211yescharacteristic
173#4671C2211yescharacteristic
174#4671C2211yescharacteristic, complemented
175#4669C2211yescharacteristic
176#4669C2211yescharacteristic
177#4669C2211yescharacteristic, complemented
178#4666C2211yescharacteristic, complemented
179#4666C2211yescharacteristic, complemented
180#4665C2211yescharacteristic
181#4665C2211yescharacteristic
182#4665C2211yescharacteristic
183#4665C2211yescharacteristic, complemented
184#4665C2211yescharacteristic, complemented
185D3×#95C2211yescharacteristic, complemented
186#4658C2211yescharacteristic, complemented
187#4655C2211yescharacteristic, complemented
188#4655C2211yescharacteristic, complemented
189#4651C2211yescharacteristic, complemented
190C2×#550—31no—
191C2×#538—31no—
192#2818—31no—
193#2813—31no—
194#2673—31no—
195#2673—31no—
196#2672—31no—
197#2672D311yescharacteristic, complemented
198#2669—31no—
199#2669—31no—
200#2669—31no—
201#2669—31no—
202#2657—31no—
203#2656—31no—
204#2635—31no—
205#2632—31no—
206#2615—31no—
207#2604—31no—
208#2555—31no—
209#2555—31no—
210#2539—31no—
211#2467—31no—
212#2467—31no—
213#2456—31no—
214#2456—31no—
215#2430—31no—
216#2428—31no—
217#2428—31no—
218#2404—31no—
219#2388—31no—
220#2353—31no—
221C24×D3C2311yescharacteristic
222C22×C3×Q8C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C22×#67C2311yescharacteristic
242C22×#67C2311yescharacteristic
243C22×#67C2311yescharacteristic
244C23×Dic3C2311yescharacteristic
245C23×Dic3C2311yescharacteristic
246C2×#237—24no—
247C2×#237—42no—
248C2×#237—42no—
249C2×#235—24no—
250C2×#235—42no—
251C2×#235—42no—
252C22×D12C2311yescharacteristic
253C22×D12C2311yescharacteristic
254C22×D12C2311yescharacteristic
255C22×D12C2311yescharacteristic
256C22×D12C2311yescharacteristic
257C22×D12C2311yescharacteristic
258C22×D12C2311yescharacteristic
259C22×D12C2311yescharacteristic
260C22×D12C2311yescharacteristic
261C22×D12C2311yescharacteristic
262C22×D12C2311yescharacteristic
263C22×D12C2311yescharacteristic
264C22×D12C2311yescharacteristic
265C22×D12C2311yescharacteristic
266C22×C4×D3C2311yescharacteristic
267C22×C4×D3C2311yescharacteristic
268C22×C4×D3C2311yescharacteristic
269C22×C4×D3C2311yescharacteristic
270C22×C4×D3C2311yescharacteristic
271C22×C4×D3C2311yescharacteristic
272C22×Dic6C2311yescharacteristic
273C3×#124—42no—
274C3×#123—42no—
275C3×C22⋊Q8—24no—
276C3×#121—24no—
277C2×C3×C4⋊C4C2311yescharacteristic
278C2×C3×C4⋊C4C2311yescharacteristic
279C2×C3×C4⋊C4C2311yescharacteristic
280C2×C3×C4⋊C4C2311yescharacteristic
281C2×C3×C4⋊C4C2311yescharacteristic
282C2×C3×C4⋊C4C2311yescharacteristic
283C2×C3×C4⋊C4C2311yescharacteristic
284C2×C3×C4⋊C4C2311yescharacteristic
285C2×C3×C4⋊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×C22⋊C4C2311yescharacteristic
297C2×C3×C22⋊C4C2311yescharacteristic
298C2×C3×C22⋊C4C2311yescharacteristic
299C2×C3×C42C2311yescharacteristic
300C2×#217C2311yescharacteristic
301C2×#217C2311yescharacteristic
302C2×#217C2311yescharacteristic
303C2×#217C2311yescharacteristic
304C2×#217C2311yescharacteristic
305#947—24no—
306#947—24no—
307#947—42no—
308#940—24no—
309#940—24no—
310#940—24no—
311#940—42no—
312#939—24no—
313#939—24no—
314#937—42no—
315#937—42no—
316#930—24no—
317#930—42no—
318#929—42no—
319C4×#67—24no—
320C2×(C2×D3)⋊C4—24no—
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×(C2×D3)⋊C4C2311yescharacteristic
351C2×(C2×D3)⋊C4C2311yescharacteristic
352C2×(C2×D3)⋊C4C2311yescharacteristic
353C2×(C2×D3)⋊C4C2311yescharacteristic
354C2×(C2×D3)⋊C4C2311yescharacteristic
355C2×(C2×D3)⋊C4C2311yescharacteristic
356C2×(C2×D3)⋊C4C2311yescharacteristic
357C2×(C2×D3)⋊C4C2311yescharacteristic
358C2×(C2×D3)⋊C4C2311yescharacteristic
359C2×C4⋊Dic3C2311yescharacteristic
360C2×C4⋊Dic3C2311yescharacteristic
361C2×Dic3⋊C4C2311yescharacteristic
362C2×Dic3⋊C4C2311yescharacteristic
363C2×Dic3⋊C4C2311yescharacteristic
364C2×Dic3⋊C4C2311yescharacteristic
365C2×Dic3⋊C4C2311yescharacteristic
366C2×Dic3⋊C4C2311yescharacteristic
367C2×Dic3⋊C4C2311yescharacteristic
368C2×Dic3⋊C4C2311yescharacteristic
369C2×C4×Dic3C2311yescharacteristic
370C2×C4×Dic3C2311yescharacteristic
371C2×C4×Dic3C2311yescharacteristic
372C2×C4×Dic3C2311yescharacteristic
373C2×C4×Dic3C2311yescharacteristic
374C2×C4×Dic3C2311yescharacteristic
375C2×C4×Dic3C2311yescharacteristic
376#898—24no—
377#898—24no—
378#895—24no—
379#895—24no—
380#895—24no—
381#895—42no—
382#895—42no—
383#895—42no—
384#895—42no—
385#894—24no—
386#894—24no—
387#893—42no—
388#887—24no—
389#884—24no—
390#884—24no—
391#884—42no—
392#884—42no—
393#884—42no—
394#882—24no—
395#882—24no—
396#882—42no—
397#882—42no—
398#67⋊C4—24no—
399#67⋊C4—24no—
400#67⋊C4—42no—
401#67⋊C4D418yescomplemented
402#874—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—
430C22×#41—31no—
431#550—68no—
432#538—68no—
433C2×#127—31no—
434C2×#127—31no—
435C2×#127—31no—
436C2×#127—31no—
437C2×#127—31no—
438C2×#126—31no—
439C2×#126—31no—
440C2×#124—31no—
441C2×#124—31no—
442C2×#124—31no—
443C2×#124C2×D311yescharacteristic, complemented
444C2×#123—31no—
445C2×#123—31no—
446C2×#123—31no—
447C2×#123C2×D311yescharacteristic
448C2×C22⋊Q8C2×D311yescharacteristic
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×#121—31no—
463C2×#121—31no—
464C2×#121—31no—
465C2×#121C2×D311yescharacteristic
466C2×#120—31no—
467C2×#120—31no—
468C2×#120—31no—
469C2×#120—31no—
470C2×#120—31no—
471C2×#120—31no—
472C2×C4×Q8—31no—
473C2×C4×D4—31no—
474C2×C4×D4—31no—
475C2×C4×D4—31no—
476C2×C4×D4—31no—
477C2×C4×D4—31no—
478C2×C4×D4—31no—
479C22×C22⋊C4—31no—
480#400—31no—
481#399—31no—
482#399—31no—
483#399—31no—
484#399—31no—
485#399C2×D311yescharacteristic, complemented
486#396—31no—
487#396C2×D311yescharacteristic, complemented
488#395—31no—
489#395—31no—
490#395C2×D311yescharacteristic, complemented
491#394—31no—
492#394—31no—
493#394—31no—
494#394—31no—
495#394—31no—
496#394—31no—
497#394—31no—
498#394—31no—
499#394—31no—
500#394—31no—
501#394—31no—
502#394—31no—
503#394—31no—
504#394C2×D311yescharacteristic
505#394C2×D311yescharacteristic
506#394C2×D311yescharacteristic, complemented
507#393—31no—
508#393—31no—
509#393—31no—
510#392—31no—
511#392—31no—
512#392—31no—
513#392—31no—
514#392—31no—
515#392—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#389C2×D311yescharacteristic, complemented
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#388—31no—
551#388—31no—
552#388—31no—
553#388C2×D311yescharacteristic
554#387—31no—
555#387—31no—
556#387—31no—
557#387—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#386—31no—
569#386—31no—
570#386—31no—
571#386C2×D311yescharacteristic
572#385—31no—
573#385C2×D311yescharacteristic, complemented
574#383—31no—
575#381—31no—
576#380—31no—
577#380—31no—
578#380C2×D311yescharacteristic, complemented
579C4×C22⋊C4—31no—
580C4×C22⋊C4—31no—
581C4×C22⋊C4—31no—
582C4×C22⋊C4—31no—
583C4×C22⋊C4—31no—
584#376—31no—
585C2×#95—31no—
586C24×C3C2411yescharacteristic
587C24×C3C2411yescharacteristic
588C24×C3C2411yescharacteristic
589C23×D3—22no—
590C23×D3—41no—
591C23×D3—41no—
592C23×D3—41no—
593C23×D3—41no—
594C23×D3—41no—
595C23×D3—41no—
596C23×D3C2411yescharacteristic
597C23×D3C2411yescharacteristic
598C23×D3C2411yescharacteristic
599C23×D3C2411yescharacteristic
600C23×D3C2411yescharacteristic
601C23×D3C2411yescharacteristic
602C2×C3×Q8—22no—
603C2×C3×Q8—41no—
604C2×C3×Q8—41no—
605C2×C3×D4—22no—
606C2×C3×D4—22no—
607C2×C3×D4—22no—
608C2×C3×D4—22no—
609C2×C3×D4—41no—
610C2×C3×D4—41no—
611C2×C3×D4—41no—
612C2×C3×D4—41no—
613C2×C3×D4—41no—
614C22×C3×C4—22no—
615C22×C3×C4—22no—
616C22×C3×C4—22no—
617C22×C3×C4—41no—
618C22×C3×C4—41no—
619C22×C3×C4—41no—
620C22×C3×C4C2411yescharacteristic
621C22×C3×C4C2411yescharacteristic
622C22×C3×C4C2411yescharacteristic
623C22×C3×C4C2411yescharacteristic
624C22×C3×C4C2411yescharacteristic
625C22×C3×C4C2411yescharacteristic
626C22×C3×C4C2411yescharacteristic
627C22×C3×C4C2411yescharacteristic
628C22×C3×C4C2411yescharacteristic
629C22×C3×C4C2411yescharacteristic
630C22×C3×C4C2411yescharacteristic
631C22×C3×C4C2411yescharacteristic
632C2×#67—22no—
633C2×#67—22no—
634C2×#67—22no—
635C2×#67—22no—
636C2×#67—22no—
637C2×#67—22no—
638C2×#67—22no—
639C2×#67—22no—
640C2×#67—22no—
641C2×#67—22no—
642C2×#67—22no—
643C2×#67—22no—
644C2×#67—22no—
645C2×#67—41no—
646C2×#67—41no—
647C2×#67—41no—
648C2×#67—41no—
649C2×#67—41no—
650C2×#67—41no—
651C2×#67—41no—
652C2×#67—41no—
653C2×#67—41no—
654C2×#67—41no—
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—
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×#67C2×D414yes—
680C22×Dic3—22no—
681C22×Dic3—22no—
682C22×Dic3—41no—
683C22×Dic3—41no—
684C22×Dic3—41no—
685C22×Dic3C2×D414yes—
686C22×Dic3C2411yescharacteristic
687C22×Dic3C2411yescharacteristic
688C22×Dic3C2411yescharacteristic
689C22×Dic3C2411yescharacteristic
690C22×Dic3C2411yescharacteristic
691C22×Dic3C2411yescharacteristic
692C22×Dic3C2411yescharacteristic
693C22×Dic3C2411yescharacteristic
694C22×Dic3C2411yescharacteristic
695C22×Dic3C2411yescharacteristic
696#237—416no—
697#235—416no—
698C2×D12—22no—
699C2×D12—22no—
700C2×D12—22no—
701C2×D12—22no—
702C2×D12—22no—
703C2×D12—22no—
704C2×D12—22no—
705C2×D12—22no—
706C2×D12—22no—
707C2×D12—22no—
708C2×D12—22no—
709C2×D12—41no—
710C2×D12—41no—
711C2×D12—41no—
712C2×D12—41no—
713C2×D12—41no—
714C2×D12—41no—
715C2×D12—41no—
716C2×D12—41no—
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×D12—41no—
736C2×D12—41no—
737C2×D12—41no—
738C2×D12—41no—
739C2×D12—41no—
740C2×C4×D3—22no—
741C2×C4×D3—22no—
742C2×C4×D3—22no—
743C2×C4×D3—22no—
744C2×C4×D3—22no—
745C2×C4×D3—22no—
746C2×C4×D3—22no—
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×D3—41no—
756C2×C4×D3—41no—
757C2×C4×D3C2×D414yes—
758C2×Dic6—22no—
759C2×Dic6—22no—
760C2×Dic6—22no—
761C3×C4⋊C4—22no—
762C3×C4⋊C4—22no—
763C3×C4⋊C4—22no—
764C3×C4⋊C4—22no—
765C3×C4⋊C4—22no—
766C3×C4⋊C4—22no—
767C3×C4⋊C4—41no—
768C3×C4⋊C4—41no—
769C3×C4⋊C4—41no—
770C3×C22⋊C4—22no—
771C3×C22⋊C4—22no—
772C3×C22⋊C4—22no—
773C3×C22⋊C4—22no—
774C3×C22⋊C4—22no—
775C3×C22⋊C4—41no—
776C3×C22⋊C4—41no—
777C3×C22⋊C4—41no—
778C3×C22⋊C4—41no—
779C3×C22⋊C4—41no—
780C3×C22⋊C4—41no—
781C3×C22⋊C4—41no—
782C3×C22⋊C4C2×D414yes—
783C3×C42—22no—
784#217—22no—
785#217—22no—
786#217—41no—
787#217—41no—
788#217—41no—
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—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—22no—
808(C2×D3)⋊C4—22no—
809(C2×D3)⋊C4—22no—
810(C2×D3)⋊C4—22no—
811(C2×D3)⋊C4—22no—
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)⋊C4—41no—
823(C2×D3)⋊C4—41no—
824(C2×D3)⋊C4—41no—
825(C2×D3)⋊C4—41no—
826(C2×D3)⋊C4C2×D414yes—
827C4⋊Dic3—22no—
828C4⋊Dic3—41no—
829Dic3⋊C4—22no—
830Dic3⋊C4—22no—
831Dic3⋊C4—22no—
832Dic3⋊C4—22no—
833Dic3⋊C4—22no—
834Dic3⋊C4—41no—
835Dic3⋊C4—41no—
836Dic3⋊C4C2×D414yes—
837C4×Dic3—22no—
838C4×Dic3—22no—
839C4×Dic3—22no—
840C4×Dic3—22no—
841C4×Dic3—41no—
842C4×Dic3—41no—
843C4×Dic3C2×D414yes—
844C25—31no—
845C2×#41—64no—
846C2×#41—64no—
847C2×#41—122no—
848C2×#41—122no—
849C2×#41—122no—
850C2×#41—122no—
851C22×Q8—31no—
852C22×Q8C22×D311yescharacteristic
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—31no—
878C22×D4—31no—
879C22×D4—31no—
880C22×D4—31no—
881C22×D4—31no—
882C22×D4—31no—
883C22×D4C22×D311yescharacteristic
884C22×D4C22×D311yescharacteristic
885C22×D4C22×D311yescharacteristic
886C23×C4—31no—
887C23×C4—31no—
888C23×C4—31no—
889C23×C4—31no—
890C23×C4—31no—
891C23×C4—31no—
892C23×C4—31no—
893C23×C4—31no—
894C23×C4C22×D311yescharacteristic
895C23×C4C22×D311yescharacteristic
896#127—64no—
897#127—64no—
898#127—64no—
899#127—122no—
900#127—122no—
901#126—64no—
902#126—64no—
903#124—42no—
904#124—64no—
905#124—64no—
906#124—122no—
907#123—42no—
908#123—64no—
909#123—64no—
910#123—122no—
911C22⋊Q8—24no—
912#121—24no—
913#121—64no—
914#121—64no—
915#121—64no—
916#121—64no—
917#121—64no—
918#121—64no—
919#121—64no—
920#121—64no—
921#121—122no—
922#121—122no—
923#121—122no—
924#121—122no—
925#121—122no—
926#121—122no—
927#121—122no—
928#121—122no—
929#120—64no—
930#120—64no—
931#120—122no—
932#120—122no—
933#120—122no—
934#120—122no—
935C4×Q8—64no—
936C4×D4—38no—
937C4×D4—64no—
938C4×D4—64no—
939C4×D4—64no—
940C4×D4—122no—
941C4×D4—122no—
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⋊C4C22×D311yescharacteristic
953C2×C4⋊C4C22×D311yescharacteristic
954C2×C4⋊C4C22×D311yescharacteristic
955C2×C4⋊C4C22×D311yescharacteristic
956C2×C4⋊C4C22×D311yescharacteristic
957C2×C4⋊C4C22×D311yescharacteristic
958C2×C4⋊C4C22×D311yescharacteristic
959C2×C4⋊C4C22×D311yescharacteristic
960C2×C4⋊C4C22×D311yescharacteristic
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—31no—
1004C2×C22⋊C4—64no—
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×C42—31no—
1019C2×C42—31no—
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×C3C22×D412yes—
1073C23×C3C2511yescharacteristic
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—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—44no—
1116C22×D3—82no—
1117C22×D3—82no—
1118C22×D3—82no—
1119C22×D3—82no—
1120C22×D3—82no—
1121C22×D3—82no—
1122C22×D3C22×D412yes—
1123C3×Q8—82no—
1124C3×D4—44no—
1125C3×D4—82no—
1126C3×D4—82no—
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—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—44no—
1160C2×C3×C4—82no—
1161C2×C3×C4C22×D412yes—
1162C2×C3×C4C22×D412yes—
1163C2×C3×C4H(5,𝔽2)12yes—
1164C2×C3×C4H(5,𝔽2)12yes—
1165#67—44no—
1166#67—44no—
1167#67—44no—
1168#67—44no—
1169#67—44no—
1170#67—44no—
1171#67—44no—
1172#67—44no—
1173#67—44no—
1174#67—82no—
1175#67—82no—
1176#67—82no—
1177#67—82no—
1178#67—82no—
1179#67—82no—
1180#67—82no—
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—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—44no—
1207C2×Dic3—44no—
1208C2×Dic3C22×D412yes—
1209C2×Dic3C22×D412yes—
1210C2×Dic3C22×D412yes—
1211C2×Dic3H(5,𝔽2)12yes—
1212C2×Dic3H(5,𝔽2)12yes—
1213D12—44no—
1214D12—44no—
1215D12—82no—
1216D12—82no—
1217D12—82no—
1218D12—82no—
1219D12—82no—
1220D12—82no—
1221D12—82no—
1222D12—82no—
1223D12—82no—
1224D12—82no—
1225D12—82no—
1226D12—82no—
1227C4×D3—44no—
1228C4×D3—44no—
1229C4×D3—44no—
1230C4×D3—82no—
1231C4×D3—82no—
1232C4×D3—82no—
1233Dic6—28no—
1234C24—31no—
1235C24—31no—
1236C24—31no—
1237C24—31no—
1238C24—31no—
1239C24—31no—
1240C24—62no—
1241C24—121no—
1242C24—121no—
1243C24—121no—
1244C24—121no—
1245C24—121no—
1246C24—121no—
1247C24C23×D311yescharacteristic
1248C24C23×D311yescharacteristic
1249C24C23×D311yescharacteristic
1250#41—1216no—
1251#41—1216no—
1252C2×Q8—22no—
1253C2×Q8—41no—
1254C2×Q8—41no—
1255C2×Q8—62no—
1256C2×Q8—62no—
1257C2×Q8—62no—
1258C2×D4—22no—
1259C2×D4—22no—
1260C2×D4—22no—
1261C2×D4—22no—
1262C2×D4—34no—
1263C2×D4—41no—
1264C2×D4—41no—
1265C2×D4—41no—
1266C2×D4—41no—
1267C2×D4—41no—
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—62no—
1287C2×D4—62no—
1288C2×D4—62no—
1289C2×D4—62no—
1290C2×D4—62no—
1291C2×D4—62no—
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—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—121no—
1356C2×D4—121no—
1357C22×C4—22no—
1358C22×C4—22no—
1359C22×C4—22no—
1360C22×C4—31no—
1361C22×C4—31no—
1362C22×C4—31no—
1363C22×C4—31no—
1364C22×C4—31no—
1365C22×C4—34no—
1366C22×C4—34no—
1367C22×C4—31no—
1368C22×C4—31no—
1369C22×C4—31no—
1370C22×C4—31no—
1371C22×C4—31no—
1372C22×C4—41no—
1373C22×C4—41no—
1374C22×C4—41no—
1375C22×C4—62no—
1376C22×C4—62no—
1377C22×C4—62no—
1378C22×C4—62no—
1379C22×C4—62no—
1380C22×C4—62no—
1381C22×C4—62no—
1382C22×C4—62no—
1383C22×C4—62no—
1384C22×C4—121no—
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×C4C23×D311yescharacteristic
1398C22×C4C23×D311yescharacteristic
1399C22×C4C23×D311yescharacteristic
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
1409C4⋊C4—22no—
1410C4⋊C4—22no—
1411C4⋊C4—22no—
1412C4⋊C4—22no—
1413C4⋊C4—22no—
1414C4⋊C4—22no—
1415C4⋊C4—34no—
1416C4⋊C4—41no—
1417C4⋊C4—41no—
1418C4⋊C4—41no—
1419C4⋊C4—62no—
1420C4⋊C4—62no—
1421C4⋊C4—62no—
1422C4⋊C4—62no—
1423C4⋊C4—62no—
1424C4⋊C4—62no—
1425C4⋊C4—121no—
1426C4⋊C4—121no—
1427C4⋊C4—121no—
1428C22⋊C4—22no—
1429C22⋊C4—22no—
1430C22⋊C4—22no—
1431C22⋊C4—22no—
1432C22⋊C4—22no—
1433C22⋊C4—34no—
1434C22⋊C4—41no—
1435C22⋊C4—41no—
1436C22⋊C4—41no—
1437C22⋊C4—41no—
1438C22⋊C4—41no—
1439C22⋊C4—41no—
1440C22⋊C4—41no—
1441C22⋊C4—62no—
1442C22⋊C4—62no—
1443C22⋊C4—62no—
1444C22⋊C4—62no—
1445C22⋊C4—62no—
1446C22⋊C4—62no—
1447C22⋊C4—62no—
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—121no—
1467C22⋊C4—121no—
1468C22⋊C4—121no—
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⋊C4D3×D414yes—
1484C42—22no—
1485C42—34no—
1486C42—62no—
1487C42—62no—
1488C42—62no—
1489C42—62no—
1490C42—121no—
1491C42—121no—
1492C22×C3—22no—
1493C22×C3—22no—
1494C22×C3—22no—
1495C22×C3—41no—
1496C22×C3—41no—
1497C22×C3—41no—
1498C22×C3—41no—
1499C22×C3—41no—
1500C22×C3—41no—
1501C22×C3—41no—
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×C3C23×D411yescharacteristic
1514C22×C3C2×H(5,𝔽2)11yescharacteristic
1515C22×C3C2×H(5,𝔽2)11yescharacteristic
1516C22×C3C2×H(5,𝔽2)11yescharacteristic
1517C22×C3C2×H(5,𝔽2)11yescharacteristic
1518C22×C3#58511yescharacteristic
1519C22×C3#58511yescharacteristic
1520C2×D3—22no—
1521C2×D3—22no—
1522C2×D3—22no—
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—41no—
1533C2×D3—41no—
1534C2×D3—41no—
1535C2×D3—41no—
1536C2×D3—41no—
1537C2×D3—41no—
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—88no—
1563C3×C4—22no—
1564C3×C4—22no—
1565C3×C4—22no—
1566C3×C4—22no—
1567C3×C4—41no—
1568C3×C4—41no—
1569C3×C4—41no—
1570C3×C4—41no—
1571C3×C4—41no—
1572C3×C4—41no—
1573C3×C4—41no—
1574C3×C4—41no—
1575Dic3—22no—
1576Dic3—22no—
1577Dic3—22no—
1578Dic3—22no—
1579Dic3—22no—
1580Dic3—41no—
1581Dic3—41no—
1582Dic3—41no—
1583Dic3—41no—
1584Dic3—41no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—21no—
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—32no—
1606C23—61no—
1607C23—61no—
1608C23—61no—
1609C23—61no—
1610C23—61no—
1611C23—61no—
1612C23—61no—
1613C23—61no—
1614C23—61no—
1615C23—61no—
1616C23—61no—
1617C23—61no—
1618C23—61no—
1619C23—61no—
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—124no—
1648C23—242no—
1649C23—242no—
1650C23—242no—
1651C23—242no—
1652C23—242no—
1653C23—242no—
1654C23C2×D3×D412yes—
1655C23C24×D311yescharacteristic
1656Q8—68no—
1657Q8—82no—
1658D4—44no—
1659D4—82no—
1660D4—82no—
1661D4—124no—
1662D4—124no—
1663D4—124no—
1664D4—124no—
1665D4—124no—
1666D4—124no—
1667D4—124no—
1668D4—124no—
1669D4—124no—
1670D4—124no—
1671D4—124no—
1672D4—242no—
1673D4—242no—
1674D4—242no—
1675D4—242no—
1676D4—242no—
1677D4—242no—
1678D4—242no—
1679D4—242no—
1680D4—242no—
1681D4—242no—
1682D4—242no—
1683D4—242no—
1684D4—242no—
1685D4—242no—
1686D4—242no—
1687D4—242no—
1688D4—242no—
1689D4—242no—
1690D4—242no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
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—32no—
1724C2×C4—32no—
1725C2×C4—32no—
1726C2×C4—32no—
1727C2×C4—32no—
1728C2×C4—44no—
1729C2×C4—61no—
1730C2×C4—61no—
1731C2×C4—61no—
1732C2×C4—61no—
1733C2×C4—61no—
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—82no—
1755C2×C4—124no—
1756C2×C4—124no—
1757C2×C4—124no—
1758C2×C4—124no—
1759C2×C4—124no—
1760C2×C4—242no—
1761C2×C4—242no—
1762C2×C4—242no—
1763C2×C4C2×D3×D412yes—
1764C2×C4C2×D3×D412yes—
1765C2×C4#100412yes—
1766C2×C4#100912yes—
1767C2×C3—42no—
1768C2×C3—81no—
1769C2×C3—81no—
1770C2×C3#344911yescharacteristic
1771C2×C3#348411yescharacteristic
1772C2×C3#349811yescharacteristic
1773C2×C3#354211yescharacteristic
1774C2×C3#354211yescharacteristic
1775C2×C3#354611yescharacteristic
1776C2×C3#354611yescharacteristic
1777D3—42no—
1778D3—81no—
1779D3—81no—
1780D3—81no—
1781D3—81no—
1782D3—81no—
1783C22—22no—
1784C22—22no—
1785C22—22no—
1786C22—41no—
1787C22—41no—
1788C22—41no—
1789C22—41no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—41no—
1799C22—41no—
1800C22—41no—
1801C22—41no—
1802C22—41no—
1803C22—41no—
1804C22—62no—
1805C22—62no—
1806C22—62no—
1807C22—121no—
1808C22—121no—
1809C22—121no—
1810C22—121no—
1811C22—121no—
1812C22—121no—
1813C22—121no—
1814C22—121no—
1815C22—121no—
1816C22—121no—
1817C22—121no—
1818C22—121no—
1819C22—121no—
1820C22—121no—
1821C22—121no—
1822C22—121no—
1823C22—121no—
1824C22—121no—
1825C22—121no—
1826C22—121no—
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—248no—
1847C22C22×D3×D411yescharacteristic
1848C22C2×#100411yescharacteristic
1849C22C2×#100911yescharacteristic
1850C22D3×H(5,𝔽2)11yescharacteristic
1851C22D3×H(5,𝔽2)11yescharacteristic
1852C22#596811yescharacteristic
1853C22#596811yescharacteristic
1854C4—22no—
1855C4—22no—
1856C4—22no—
1857C4—22no—
1858C4—41no—
1859C4—41no—
1860C4—41no—
1861C4—41no—
1862C4—41no—
1863C4—41no—
1864C4—41no—
1865C4—41no—
1866C4—62no—
1867C4—62no—
1868C4—62no—
1869C4—62no—
1870C4—62no—
1871C4—121no—
1872C4—121no—
1873C4—121no—
1874C4—121no—
1875C4—121no—
1876C3#4050111yescharacteristic, complemented, Sylow
1877C2—42no—
1878C2—81no—
1879C2—81no—
1880C2—122no—
1881C2—241no—
1882C2—241no—
1883C2—241no—
1884C2—241no—
1885C2—241no—
1886C2#8633811yescharacteristic
1887C2#8637211yescharacteristic
1888C2#8653211yescharacteristic
1889C2#8660811yescharacteristic
1890C2#8666211yescharacteristic
1891C2#8669111yescharacteristic
1892C2#8709711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2672C2
hypercenter#2672D3
hypocenterC3#40501
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2672

Complements

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

NH ≅ G/Ntype
1. C2×#5644C2semidirect
2. C2×#5599C2semidirect
3. C3×#2672C2semidirect
4. #82979C2semidirect
5. #82975C2semidirect
6. #82906C2semidirect
7. #82901C2semidirect
8. #82826C2semidirect
9. #82714C2semidirect
10. #78111C2semidirect
11. #78025C2semidirect
12. #77448C2semidirect
13. #77292C2semidirect
14. #77203C2semidirect
15. #77187C2semidirect
16. #77162C2semidirect
17. #77128C2semidirect
18. #77128C2semidirect
19. #76979C2semidirect
20. #76903C2semidirect
21. #76889C2semidirect
22. #76220C2semidirect
23. #76097C2semidirect
24. #75912C2semidirect
25. #75835C2semidirect
26. #74885C2semidirect
27. #74791C2semidirect
28. #74606C2semidirect
29. #74427C2semidirect
30. #74030C2semidirect
31. #73906C2semidirect
34. C22×#235C22semidirect
35. C2×C3×#124C22semidirect
41. C2×#947C22semidirect
45. C2×#940C22semidirect
47. C2×#939C22semidirect
53. C2×C4×#67C22semidirect
64. C2×#895C22semidirect
65. C2×#895C22semidirect
68. C2×#893C22semidirect
69. C2×#887C22semidirect
73. C2×#884C22semidirect
74. C2×#884C22semidirect
81. C2×#67⋊C4C22semidirect
82. C2×#67⋊C4C22semidirect
84. C3×#399C22semidirect
85. C3×#396C22semidirect
86. C3×#395C22semidirect
89. C3×#394C22semidirect
90. C3×#389C22semidirect
93. C3×#385C22semidirect
94. C3×#380C22semidirect
95. #5230C22semidirect
101. #4994C22semidirect
104. #4993C22semidirect
105. #4993C22semidirect
108. #4991C22semidirect
109. #4991C22semidirect
113. #4990C22semidirect
114. #4990C22semidirect
115. #4989C22semidirect
118. #4987C22semidirect
119. #4987C22semidirect
120. #4980C22semidirect
121. #4979C22semidirect
122. #4978C22semidirect
123. #4976C22semidirect
125. #4961C22semidirect
126. #4961C22semidirect
140. #4960C22semidirect
141. #4960C22semidirect
142. #4960C22semidirect
143. #4960C22semidirect
144. #4960C22semidirect
147. #4959C22semidirect
148. #4959C22semidirect
149. #4959C22semidirect
156. #4956C22semidirect
157. #4956C22semidirect
159. #4945C22semidirect
162. Dic3×C22⋊C4C22semidirect
164. C4×(C2×D3)⋊C4C22semidirect
165. #4932C22semidirect
168. #4673C22semidirect
174. #4671C22semidirect
177. #4669C22semidirect
178. #4666C22semidirect
179. #4666C22semidirect
183. #4665C22semidirect
184. #4665C22semidirect
185. D3×#95C22semidirect
186. #4658C22semidirect
187. #4655C22semidirect
188. #4655C22semidirect
189. #4651C22semidirect
197. #2672D3semidirect
401. #67⋊C4D4semidirect
443. C2×#124C2×D3semidirect
485. #399C2×D3semidirect
487. #396C2×D3semidirect
490. #395C2×D3semidirect
506. #394C2×D3semidirect
541. #389C2×D3semidirect
573. #385C2×D3semidirect
578. #380C2×D3semidirect
1876. C3#40501semidirect

Maximal subgroups

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

subgroupindex
C2×#56442
C2×#55992
C3×#26722
#829792
#829752
#829062
#829012
#828262
#827142
#781112
#780252
#774482
#772922
#772032
#771872
#771622
#771282
#769792
#769032
#768892
#762202
#760972
#759122
#758352
#748852
#747912
#746062
#744272
#740302
#739062
#405013