Finite Group Databasebeta

← #11301769

Subgroups — #11301769

Order 768.

3038 conjugacy classes of subgroups.

The subgroup lattice has 2006 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5653C211yesmaximal, characteristic, complemented
2C2×#5577C211yesmaximal, characteristic, complemented
3C3×#2458C211yesmaximal, characteristic, complemented
4#82906C211yesmaximal, characteristic, complemented
5#82497C211yesmaximal, characteristic, complemented
6#77978C211yesmaximal, characteristic, complemented
7#77967C211yesmaximal, characteristic, complemented
8#77128C211yesmaximal, characteristic, complemented
9#77108C211yesmaximal, characteristic, complemented
10#76863C211yesmaximal, characteristic, complemented
11#76863C211yesmaximal, characteristic, complemented
12#76863C211yesmaximal, characteristic, complemented
13#76809C211yesmaximal, characteristic, complemented
14#76442C211yesmaximal, characteristic, complemented
15#76314C211yesmaximal, characteristic, complemented
16#75924C211yesmaximal, characteristic, complemented
17#75914C211yesmaximal, characteristic, complemented
18#75912C211yesmaximal, characteristic, complemented
19#75912C211yesmaximal, characteristic, complemented
20#75912C211yesmaximal, characteristic, complemented
21#75902C211yesmaximal, characteristic, complemented
22#75881C211yesmaximal, characteristic, complemented
23#75846C211yesmaximal, characteristic, complemented
24#75387C211yesmaximal, characteristic, complemented
25#75387C211yesmaximal, characteristic, complemented
26#75324C211yesmaximal, characteristic, complemented
27#75313C211yesmaximal, characteristic, complemented
28#74627C211yesmaximal, characteristic, complemented
29#74601C211yesmaximal, characteristic, complemented
30#73589C211yesmaximal, characteristic, complemented
31#73587C211yesmaximal, characteristic, complemented
32#47831—31nomaximal, Sylow
33C22×#239C2211yescharacteristic, complemented
34C22×#239C2211yescharacteristic, complemented
35C22×D3×D4C2211yescharacteristic
36C23×D12C2211yescharacteristic
37C2×C3×#123C2211yescharacteristic
38C2×C3×C4×Q8C2211yescharacteristic, complemented
39C2×#940C2211yescharacteristic
40C2×#937C2211yescharacteristic
41C2×#930C2211yescharacteristic, complemented
42C2×#929C2211yescharacteristic
43#5653—28no—
44#5577—28no—
45C2×#895C2211yescharacteristic
46C2×#895C2211yescharacteristic
47C2×#895C2211yescharacteristic
48C2×#895C2211yescharacteristic, complemented
49C2×#895C2211yescharacteristic, complemented
50C2×#895C2211yescharacteristic, complemented
51C2×#895C2211yescharacteristic, complemented
52C2×#895C2211yescharacteristic, complemented
53C2×#895C2211yescharacteristic, complemented
54C2×#895C2211yescharacteristic, complemented
55C2×#894C2211yescharacteristic
56C2×#894C2211yescharacteristic
57C2×#894C2211yescharacteristic, complemented
58C2×#884C2211yescharacteristic
59C2×#884C2211yescharacteristic
60C2×#884C2211yescharacteristic
61C2×#884C2211yescharacteristic, complemented
62C2×#884C2211yescharacteristic, complemented
63C2×#884C2211yescharacteristic, complemented
64C2×#882C2211yescharacteristic
65C2×#882C2211yescharacteristic
66C2×#882C2211yescharacteristic
67C2×#882C2211yescharacteristic
68C2×#882C2211yescharacteristic
69C2×#882C2211yescharacteristic
70C2×#882C2211yescharacteristic, complemented
71C2×#882C2211yescharacteristic, complemented
72C2×#882C2211yescharacteristic, complemented
73C2×#882C2211yescharacteristic, complemented
74C2×#882C2211yescharacteristic, complemented
75C2×#882C2211yescharacteristic, complemented
76C2×D3×C22⋊C4C2211yescharacteristic
77C2×D3×C22⋊C4C2211yescharacteristic, complemented
78C2×D3×C22⋊C4C2211yescharacteristic, complemented
79C2×#874C2211yescharacteristic
80C2×#874C2211yescharacteristic, complemented
81C2×#874C2211yescharacteristic, complemented
82C2×#874C2211yescharacteristic, complemented
83C2×C4×D12C2211yescharacteristic, complemented
84C2×C4×D12C2211yescharacteristic, complemented
85C2×C4×D12C2211yescharacteristic, complemented
86C3×#398C2211yescharacteristic, complemented
87C3×#394C2211yescharacteristic
88C3×#393C2211yescharacteristic, complemented
89C3×#393C2211yescharacteristic, complemented
90C3×#390C2211yescharacteristic
91C3×#388C2211yescharacteristic, complemented
92C3×#388C2211yescharacteristic, complemented
93C3×#388C2211yescharacteristic, complemented
94C3×#388C2211yescharacteristic, complemented
95C3×#387C2211yescharacteristic, complemented
96C3×#387C2211yescharacteristic, complemented
97C3×#385C2211yescharacteristic, complemented
98C3×C4×C22⋊C4C2211yescharacteristic, complemented
99#5231C2211yescharacteristic, complemented
100#5231C2211yescharacteristic, complemented
101#5223C2211yescharacteristic
102#5213C2211yescharacteristic, complemented
103#4994C2211yescharacteristic, complemented
104#4993C2211yescharacteristic, complemented
105#4991C2211yescharacteristic
106#4991C2211yescharacteristic, complemented
107#4991C2211yescharacteristic, complemented
108#4991C2211yescharacteristic, complemented
109#4991C2211yescharacteristic, complemented
110#4991C2211yescharacteristic, complemented
111#4990C2211yescharacteristic, complemented
112#4990C2211yescharacteristic, complemented
113#4989C2211yescharacteristic, complemented
114#4989C2211yescharacteristic, complemented
115#4988C2211yescharacteristic, complemented
116#4982C2211yescharacteristic, complemented
117#4980C2211yescharacteristic, complemented
118#4961C2211yescharacteristic, complemented
119#4961C2211yescharacteristic, complemented
120#4960C2211yescharacteristic
121#4960C2211yescharacteristic
122#4960C2211yescharacteristic, complemented
123#4960C2211yescharacteristic, complemented
124#4960C2211yescharacteristic, complemented
125#4960C2211yescharacteristic, complemented
126#4960C2211yescharacteristic, complemented
127#4960C2211yescharacteristic, complemented
128#4960C2211yescharacteristic, complemented
129#4960C2211yescharacteristic, complemented
130#4960C2211yescharacteristic, complemented
131#4959C2211yescharacteristic, complemented
132#4959C2211yescharacteristic, complemented
133#4956C2211yescharacteristic
134#4956C2211yescharacteristic, complemented
135#4956C2211yescharacteristic, complemented
136#4956C2211yescharacteristic, complemented
137#4956C2211yescharacteristic, complemented
138#4956C2211yescharacteristic, complemented
139#4955C2211yescharacteristic
140#4948C2211yescharacteristic, complemented
141#4940C2211yescharacteristic, complemented
142#4940C2211yescharacteristic, complemented
143#4940C2211yescharacteristic, complemented
144#4940C2211yescharacteristic, complemented
145#4940C2211yescharacteristic, complemented
146#4939C2211yescharacteristic
147#4939C2211yescharacteristic, complemented
148C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
149#4933C2211yescharacteristic, complemented
150#4672C2211yescharacteristic, complemented
151#4672C2211yescharacteristic, complemented
152#4672C2211yescharacteristic, complemented
153#4672C2211yescharacteristic, complemented
154#4671C2211yescharacteristic
155#4671C2211yescharacteristic
156#4671C2211yescharacteristic
157#4671C2211yescharacteristic, complemented
158#4671C2211yescharacteristic, complemented
159#4671C2211yescharacteristic, complemented
160#4671C2211yescharacteristic, complemented
161#4671C2211yescharacteristic, complemented
162#4671C2211yescharacteristic, complemented
163#4671C2211yescharacteristic, complemented
164#4671C2211yescharacteristic, complemented
165#4669C2211yescharacteristic, complemented
166#4668C2211yescharacteristic, complemented
167#4667C2211yescharacteristic, complemented
168#4667C2211yescharacteristic, complemented
169#4667C2211yescharacteristic, complemented
170#4665C2211yescharacteristic
171#4665C2211yescharacteristic, complemented
172#4665C2211yescharacteristic, complemented
173#4665C2211yescharacteristic, complemented
174#4665C2211yescharacteristic, complemented
175#4665C2211yescharacteristic, complemented
176#4665C2211yescharacteristic, complemented
177#4665C2211yescharacteristic, complemented
178#4665C2211yescharacteristic, complemented
179#4665C2211yescharacteristic, complemented
180#4665C2211yescharacteristic, complemented
181#4665C2211yescharacteristic, complemented
182#4665C2211yescharacteristic, complemented
183#4665C2211yescharacteristic, complemented
184#4665C2211yescharacteristic, complemented
185#4664C2211yescharacteristic, complemented
186#4664C2211yescharacteristic, complemented
187#4664C2211yescharacteristic, complemented
188#4664C2211yescharacteristic, complemented
189#4660C2211yescharacteristic, complemented
190C2×#550—31no—
191C2×#534—31no—
192#2699—31no—
193#2699—31no—
194#2673—31no—
195#2673—31no—
196#2673—31no—
197#2673—31no—
198#2671—31no—
199#2671—31no—
200#2669—31no—
201#2669—31no—
202#2669—31no—
203#2669—31no—
204#2635—31no—
205#2615—31no—
206#2534—31no—
207#2458—31no—
208#2458D311yescharacteristic, complemented
209#2457—31no—
210#2457—31no—
211#2433—31no—
212#2433—31no—
213#2424—31no—
214#2424—31no—
215#2410—31no—
216#2410—31no—
217#2404—31no—
218#2404—31no—
219#2404—31no—
220#2377—31no—
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C24×D3C2311yescharacteristic
224C22×C3×Q8C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C2×#239—24no—
238C2×#239—24no—
239C2×#239—42no—
240C2×#239—42no—
241C2×#239—42no—
242C2×#239—42no—
243C2×D3×D4—24no—
244C2×D3×D4—42no—
245C2×D3×D4—42no—
246C22×D12—24no—
247C22×D12—42no—
248C22×D12—42no—
249C22×D12C2311yescharacteristic
250C22×D12C2311yescharacteristic
251C22×D12C2311yescharacteristic
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×D12C2311yescharacteristic
267C22×D12C2311yescharacteristic
268C22×D12C2311yescharacteristic
269C22×D12C2311yescharacteristic
270C22×D12C2311yescharacteristic
271C22×D12C2311yescharacteristic
272C22×D12C2311yescharacteristic
273C22×D12C2311yescharacteristic
274C22×C4×D3C2311yescharacteristic
275C22×C4×D3C2311yescharacteristic
276C22×C4×D3C2311yescharacteristic
277C22×C4×D3C2311yescharacteristic
278C22×C4×D3C2311yescharacteristic
279C22×C4×D3C2311yescharacteristic
280C22×C4×D3C2311yescharacteristic
281C22×C4×D3C2311yescharacteristic
282C22×C4×D3C2311yescharacteristic
283C22×C4×D3C2311yescharacteristic
284C3×#123—24no—
285C3×C4×Q8—24no—
286C2×C3×C4⋊C4C2311yescharacteristic
287C2×C3×C4⋊C4C2311yescharacteristic
288C2×C3×C4⋊C4C2311yescharacteristic
289C2×C3×C4⋊C4C2311yescharacteristic
290C2×C3×C4⋊C4C2311yescharacteristic
291C2×C3×C4⋊C4C2311yescharacteristic
292C2×C3×C4⋊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×C22⋊C4C2311yescharacteristic
300C2×C3×C22⋊C4C2311yescharacteristic
301C2×C3×C22⋊C4C2311yescharacteristic
302C2×C3×C22⋊C4C2311yescharacteristic
303C2×C3×C22⋊C4C2311yescharacteristic
304C2×C3×C42C2311yescharacteristic
305C2×C3×C42C2311yescharacteristic
306C2×C3×C42C2311yescharacteristic
307C2×C3×C42C2311yescharacteristic
308C2×#217C2311yescharacteristic
309C2×#217C2311yescharacteristic
310C2×#217C2311yescharacteristic
311#940—42no—
312#937—24no—
313#930—42no—
314#929—24no—
315C2×(C2×D3)⋊C4C2311yescharacteristic
316C2×(C2×D3)⋊C4C2311yescharacteristic
317C2×(C2×D3)⋊C4C2311yescharacteristic
318C2×(C2×D3)⋊C4C2311yescharacteristic
319C2×(C2×D3)⋊C4C2311yescharacteristic
320C2×(C2×D3)⋊C4C2311yescharacteristic
321C2×(C2×D3)⋊C4C2311yescharacteristic
322C2×(C2×D3)⋊C4C2311yescharacteristic
323C2×(C2×D3)⋊C4C2311yescharacteristic
324C2×(C2×D3)⋊C4C2311yescharacteristic
325C2×(C2×D3)⋊C4C2311yescharacteristic
326C2×(C2×D3)⋊C4C2311yescharacteristic
327C2×(C2×D3)⋊C4C2311yescharacteristic
328C2×(C2×D3)⋊C4C2311yescharacteristic
329C2×(C2×D3)⋊C4C2311yescharacteristic
330C2×(C2×D3)⋊C4C2311yescharacteristic
331C2×(C2×D3)⋊C4C2311yescharacteristic
332C2×(C2×D3)⋊C4C2311yescharacteristic
333C2×(C2×D3)⋊C4C2311yescharacteristic
334C2×(C2×D3)⋊C4C2311yescharacteristic
335C2×(C2×D3)⋊C4C2311yescharacteristic
336C2×(C2×D3)⋊C4C2311yescharacteristic
337C2×(C2×D3)⋊C4C2311yescharacteristic
338C2×(C2×D3)⋊C4C2311yescharacteristic
339C2×(C2×D3)⋊C4C2311yescharacteristic
340C2×(C2×D3)⋊C4C2311yescharacteristic
341C2×(C2×D3)⋊C4C2311yescharacteristic
342C2×(C2×D3)⋊C4C2311yescharacteristic
343C2×(C2×D3)⋊C4C2311yescharacteristic
344C2×(C2×D3)⋊C4C2311yescharacteristic
345C2×(C2×D3)⋊C4C2311yescharacteristic
346C2×(C2×D3)⋊C4C2311yescharacteristic
347C2×(C2×D3)⋊C4C2311yescharacteristic
348C2×(C2×D3)⋊C4C2311yescharacteristic
349C2×(C2×D3)⋊C4C2311yescharacteristic
350C2×(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×C4×Dic3C2311yescharacteristic
368#895—24no—
369#895—24no—
370#895—24no—
371#895—24no—
372#895—24no—
373#895—24no—
374#895—42no—
375#895—42no—
376#895—42no—
377#895D418yescomplemented
378#894—24no—
379#894—24no—
380#894—42no—
381#884—24no—
382#884—24no—
383#884—42no—
384#884—42no—
385#884—42no—
386#884—42no—
387#882—24no—
388#882—24no—
389#882—24no—
390#882—42no—
391#882—42no—
392#882—42no—
393#882—42no—
394#882—42no—
395#882—42no—
396#882—42no—
397#882—42no—
398#882—42no—
399D3×C22⋊C4—24no—
400D3×C22⋊C4—42no—
401D3×C22⋊C4—42no—
402#874—24no—
403#874—24no—
404#874—24no—
405#874—42no—
406C4×D12—24no—
407C4×D12—24no—
408C4×D12—24no—
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
429C3⋊#95C2311yescharacteristic
430C3⋊#95C2311yescharacteristic
431C3⋊#95C2311yescharacteristic
432C3⋊#95C2311yescharacteristic
433C3⋊#95C2311yescharacteristic
434C3⋊#95C2311yescharacteristic
435C22×#41—31no—
436C22×#41—31no—
437C23×D4—31no—
438C23×D4—31no—
439#550—68no—
440#534—68no—
441C2×#127—31no—
442C2×#127—31no—
443C2×#127—31no—
444C2×#127—31no—
445C2×#127—31no—
446C2×#123—31no—
447C2×#123—31no—
448C2×#123—31no—
449C2×#123—31no—
450C2×#123C2×D311yescharacteristic
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×#121—31no—
466C2×#121—31no—
467C2×#121—31no—
468C2×#120—31no—
469C2×#120—31no—
470C2×#120—31no—
471C2×#120—31no—
472C2×#120—31no—
473C2×#120—31no—
474C2×#120—31no—
475C2×#120—31no—
476C2×#120—31no—
477C2×#120—31no—
478C2×#120—31no—
479C2×#120—31no—
480C2×#120—31no—
481C2×C4×Q8C2×D311yescharacteristic, complemented
482C2×C4×D4—31no—
483C2×C4×D4—31no—
484C2×C4×D4—31no—
485C22×C22⋊C4—31no—
486C22×C22⋊C4—31no—
487C22×C22⋊C4—31no—
488#400—31no—
489#399—31no—
490#398—31no—
491#398C2×D311yescharacteristic, complemented
492#396—31no—
493#396—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#394—31no—
505#394—31no—
506#394—31no—
507#394—31no—
508#394C2×D311yescharacteristic
509#393—31no—
510#393—31no—
511#393C2×D311yescharacteristic, complemented
512#393C2×D311yescharacteristic, complemented
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#390C2×D311yescharacteristic
540#388—31no—
541#388—31no—
542#388—31no—
543#388—31no—
544#388—31no—
545#388—31no—
546#388—31no—
547#388—31no—
548#388C2×D311yescharacteristic, complemented
549#388C2×D311yescharacteristic, complemented
550#388C2×D311yescharacteristic, complemented
551#388C2×D311yescharacteristic, complemented
552#387—31no—
553#387—31no—
554#387C2×D311yescharacteristic, complemented
555#387C2×D311yescharacteristic, complemented
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#386—31no—
569#386—31no—
570#386—31no—
571#386—31no—
572#386—31no—
573#386—31no—
574#386—31no—
575#386—31no—
576#386—31no—
577#386—31no—
578#385—31no—
579#385—31no—
580#385—31no—
581#385C2×D311yescharacteristic, complemented
582#381—31no—
583#381—31no—
584#381—31no—
585#381—31no—
586#380—31no—
587#380—31no—
588#380—31no—
589#379—31no—
590C4×C22⋊C4—31no—
591C4×C22⋊C4C2×D311yescharacteristic, complemented
592C24×C3C2411yescharacteristic
593C24×C3C2411yescharacteristic
594C23×D3—22no—
595C23×D3—22no—
596C23×D3—22no—
597C23×D3—22no—
598C23×D3—22no—
599C23×D3—22no—
600C23×D3—22no—
601C23×D3—41no—
602C23×D3—41no—
603C23×D3—41no—
604C23×D3—41no—
605C23×D3—41no—
606C23×D3—41no—
607C23×D3—41no—
608C23×D3—41no—
609C23×D3—41no—
610C23×D3—41no—
611C23×D3—41no—
612C23×D3—41no—
613C23×D3—41no—
614C23×D3—41no—
615C23×D3C2411yescharacteristic
616C23×D3C2411yescharacteristic
617C23×D3C2411yescharacteristic
618C23×D3C2411yescharacteristic
619C23×D3C2411yescharacteristic
620C23×D3C2411yescharacteristic
621C23×D3C2411yescharacteristic
622C23×D3C2411yescharacteristic
623C2×C3×Q8—22no—
624C2×C3×Q8—22no—
625C2×C3×Q8—22no—
626C2×C3×D4—22no—
627C2×C3×D4—22no—
628C2×C3×D4—41no—
629C22×C3×C4—22no—
630C22×C3×C4—22no—
631C22×C3×C4—41no—
632C22×C3×C4C2411yescharacteristic
633C22×C3×C4C2411yescharacteristic
634C22×C3×C4C2411yescharacteristic
635C22×C3×C4C2411yescharacteristic
636C22×C3×C4C2411yescharacteristic
637C22×C3×C4C2411yescharacteristic
638C22×C3×C4C2411yescharacteristic
639C22×C3×C4C2411yescharacteristic
640C22×C3×C4C2411yescharacteristic
641C22×C3×C4C2411yescharacteristic
642C22×C3×C4C2411yescharacteristic
643C22×C3×C4C2411yescharacteristic
644C22×C3×C4C2411yescharacteristic
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—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—
675C22×Dic3C2411yescharacteristic
676C22×Dic3C2411yescharacteristic
677C22×Dic3C2411yescharacteristic
678C22×Dic3C2411yescharacteristic
679C22×Dic3C2411yescharacteristic
680C22×Dic3C2411yescharacteristic
681C22×Dic3C2411yescharacteristic
682C22×Dic3C2411yescharacteristic
683#239—416no—
684#239—416no—
685D3×D4—416no—
686C2×D12—22no—
687C2×D12—22no—
688C2×D12—22no—
689C2×D12—22no—
690C2×D12—22no—
691C2×D12—22no—
692C2×D12—22no—
693C2×D12—22no—
694C2×D12—22no—
695C2×D12—22no—
696C2×D12—22no—
697C2×D12—22no—
698C2×D12—22no—
699C2×D12—22no—
700C2×D12—22no—
701C2×D12—22no—
702C2×D12—22no—
703C2×D12—22no—
704C2×D12—22no—
705C2×D12—22no—
706C2×D12—22no—
707C2×D12—22no—
708C2×D12—22no—
709C2×D12—22no—
710C2×D12—22no—
711C2×D12—22no—
712C2×D12—22no—
713C2×D12—22no—
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—416no—
734C2×D12—41no—
735C2×D12—41no—
736C2×D12—41no—
737C2×D12—41no—
738C2×D12—41no—
739C2×D12—41no—
740C2×D12—41no—
741C2×D12—41no—
742C2×D12—41no—
743C2×D12—41no—
744C2×D12—41no—
745C2×D12—41no—
746C2×D12—41no—
747C2×D12—41no—
748C2×D12—41no—
749C2×D12—41no—
750C2×D12—41no—
751C2×D12—41no—
752C2×D12—41no—
753C2×D12—41no—
754C2×D12—41no—
755C2×D12—41no—
756C2×D12—41no—
757C2×D12—41no—
758C2×D12—41no—
759C2×D12C2×D414yes—
760C2×D12C2×D414yes—
761C2×D12C2×D414yes—
762C2×C4×D3—22no—
763C2×C4×D3—22no—
764C2×C4×D3—22no—
765C2×C4×D3—22no—
766C2×C4×D3—22no—
767C2×C4×D3—22no—
768C2×C4×D3—22no—
769C2×C4×D3—22no—
770C2×C4×D3—22no—
771C2×C4×D3—22no—
772C2×C4×D3—22no—
773C2×C4×D3—22no—
774C2×C4×D3—41no—
775C2×C4×D3—41no—
776C2×C4×D3—41no—
777C2×C4×D3—41no—
778C2×C4×D3—41no—
779C2×C4×D3—41no—
780C2×C4×D3—41no—
781C2×C4×D3—41no—
782C2×C4×D3—41no—
783C2×C4×D3—41no—
784C2×C4×D3—41no—
785C2×C4×D3—41no—
786C2×C4×D3—41no—
787C2×C4×D3—41no—
788C2×C4×D3—41no—
789C2×C4×D3—41no—
790C2×C4×D3—41no—
791C2×C4×D3C2×D414yes—
792C3×C4⋊C4—22no—
793C3×C4⋊C4—22no—
794C3×C4⋊C4—22no—
795C3×C4⋊C4—22no—
796C3×C4⋊C4—41no—
797C3×C4⋊C4—41no—
798C3×C4⋊C4C2×D414yes—
799C3×C22⋊C4—22no—
800C3×C22⋊C4—22no—
801C3×C22⋊C4—22no—
802C3×C22⋊C4—22no—
803C3×C22⋊C4—22no—
804C3×C22⋊C4—22no—
805C3×C22⋊C4—22no—
806C3×C22⋊C4—22no—
807C3×C22⋊C4—22no—
808C3×C22⋊C4—22no—
809C3×C22⋊C4—41no—
810C3×C42—22no—
811C3×C42—22no—
812C3×C42—22no—
813C3×C42—41no—
814#217—22no—
815#217—41no—
816#217—41no—
817(C2×D3)⋊C4—22no—
818(C2×D3)⋊C4—22no—
819(C2×D3)⋊C4—22no—
820(C2×D3)⋊C4—22no—
821(C2×D3)⋊C4—22no—
822(C2×D3)⋊C4—22no—
823(C2×D3)⋊C4—22no—
824(C2×D3)⋊C4—22no—
825(C2×D3)⋊C4—22no—
826(C2×D3)⋊C4—22no—
827(C2×D3)⋊C4—22no—
828(C2×D3)⋊C4—22no—
829(C2×D3)⋊C4—22no—
830(C2×D3)⋊C4—22no—
831(C2×D3)⋊C4—22no—
832(C2×D3)⋊C4—22no—
833(C2×D3)⋊C4—22no—
834(C2×D3)⋊C4—41no—
835(C2×D3)⋊C4—41no—
836(C2×D3)⋊C4—41no—
837(C2×D3)⋊C4—41no—
838(C2×D3)⋊C4—41no—
839(C2×D3)⋊C4—41no—
840(C2×D3)⋊C4—41no—
841(C2×D3)⋊C4—41no—
842(C2×D3)⋊C4—41no—
843(C2×D3)⋊C4—41no—
844(C2×D3)⋊C4—41no—
845(C2×D3)⋊C4—41no—
846(C2×D3)⋊C4—41no—
847(C2×D3)⋊C4—41no—
848(C2×D3)⋊C4—41no—
849(C2×D3)⋊C4—41no—
850(C2×D3)⋊C4—41no—
851(C2×D3)⋊C4—41no—
852(C2×D3)⋊C4—41no—
853(C2×D3)⋊C4—41no—
854(C2×D3)⋊C4—41no—
855(C2×D3)⋊C4—41no—
856(C2×D3)⋊C4—41no—
857(C2×D3)⋊C4—41no—
858(C2×D3)⋊C4—41no—
859(C2×D3)⋊C4C2×D414yes—
860(C2×D3)⋊C4C2×D414yes—
861C4⋊Dic3—22no—
862C4⋊Dic3—41no—
863Dic3⋊C4—22no—
864Dic3⋊C4—22no—
865Dic3⋊C4—22no—
866Dic3⋊C4—41no—
867Dic3⋊C4—41no—
868Dic3⋊C4—41no—
869C4×Dic3—41no—
870C25—31no—
871C25—31no—
872C25—31no—
873C2×#41—64no—
874C2×#41—64no—
875C2×#41—122no—
876C2×#41—122no—
877C2×#41—122no—
878C2×#41—122no—
879C22×Q8C22×D311yescharacteristic
880C22×D4—31no—
881C22×D4—31no—
882C22×D4—31no—
883C22×D4—31no—
884C22×D4—31no—
885C22×D4—31no—
886C22×D4—31no—
887C22×D4—31no—
888C22×D4—31no—
889C22×D4—31no—
890C22×D4—31no—
891C22×D4—31no—
892C22×D4—31no—
893C22×D4—31no—
894C22×D4—31no—
895C22×D4—31no—
896C22×D4—31no—
897C22×D4—31no—
898C22×D4—31no—
899C22×D4—31no—
900C22×D4—31no—
901C22×D4—31no—
902C22×D4—31no—
903C22×D4—31no—
904C22×D4—31no—
905C22×D4—31no—
906C22×D4—31no—
907C22×D4—31no—
908C22×D4—31no—
909C22×D4—31no—
910C22×D4—31no—
911C22×D4—31no—
912C22×D4—31no—
913C22×D4—31no—
914C22×D4—31no—
915C22×D4—64no—
916C22×D4—64no—
917C22×D4—122no—
918C22×D4—122no—
919C22×D4—122no—
920C22×D4—122no—
921C22×D4C22×D311yescharacteristic
922C23×C4—31no—
923C23×C4—31no—
924C23×C4—31no—
925C23×C4—31no—
926C23×C4—31no—
927C23×C4—31no—
928C23×C4—31no—
929C23×C4—31no—
930C23×C4—31no—
931C23×C4—31no—
932C23×C4C22×D311yescharacteristic
933#127—64no—
934#127—64no—
935#127—64no—
936#127—122no—
937#127—122no—
938#123—24no—
939#123—64no—
940#123—64no—
941#123—64no—
942#123—122no—
943#121—38no—
944#121—64no—
945#121—64no—
946#121—64no—
947#121—64no—
948#121—64no—
949#121—64no—
950#121—64no—
951#121—64no—
952#121—122no—
953#121—122no—
954#121—122no—
955#121—122no—
956#121—122no—
957#121—122no—
958#121—122no—
959#121—122no—
960#120—64no—
961#120—64no—
962#120—64no—
963#120—64no—
964#120—122no—
965#120—122no—
966#120—122no—
967#120—122no—
968#120—122no—
969#120—122no—
970#120—122no—
971#120—122no—
972#120—122no—
973C4×Q8—24no—
974C4×D4—64no—
975C4×D4—64no—
976C4×D4—64no—
977C2×C4⋊C4—31no—
978C2×C4⋊C4—31no—
979C2×C4⋊C4—31no—
980C2×C4⋊C4—31no—
981C2×C4⋊C4—31no—
982C2×C4⋊C4—31no—
983C2×C4⋊C4—31no—
984C2×C4⋊C4—31no—
985C2×C4⋊C4C22×D311yescharacteristic
986C2×C4⋊C4C22×D311yescharacteristic
987C2×C4⋊C4C22×D311yescharacteristic
988C2×C4⋊C4C22×D311yescharacteristic
989C2×C4⋊C4C22×D311yescharacteristic
990C2×C4⋊C4C22×D311yescharacteristic
991C2×C4⋊C4C22×D311yescharacteristic
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—31no—
1005C2×C22⋊C4—31no—
1006C2×C22⋊C4—31no—
1007C2×C22⋊C4—31no—
1008C2×C22⋊C4—31no—
1009C2×C22⋊C4—31no—
1010C2×C22⋊C4—31no—
1011C2×C22⋊C4—31no—
1012C2×C22⋊C4—31no—
1013C2×C22⋊C4—31no—
1014C2×C22⋊C4—31no—
1015C2×C22⋊C4—31no—
1016C2×C22⋊C4—31no—
1017C2×C22⋊C4—31no—
1018C2×C22⋊C4—31no—
1019C2×C22⋊C4—31no—
1020C2×C22⋊C4—31no—
1021C2×C22⋊C4—31no—
1022C2×C22⋊C4—31no—
1023C2×C22⋊C4—31no—
1024C2×C22⋊C4—31no—
1025C2×C22⋊C4—31no—
1026C2×C22⋊C4—31no—
1027C2×C22⋊C4—31no—
1028C2×C22⋊C4—31no—
1029C2×C22⋊C4—31no—
1030C2×C22⋊C4—31no—
1031C2×C22⋊C4—31no—
1032C2×C22⋊C4—31no—
1033C2×C22⋊C4—31no—
1034C2×C22⋊C4—31no—
1035C2×C22⋊C4—31no—
1036C2×C22⋊C4—31no—
1037C2×C22⋊C4—31no—
1038C2×C22⋊C4—31no—
1039C2×C22⋊C4—64no—
1040C2×C22⋊C4—122no—
1041C2×C22⋊C4—122no—
1042C2×C22⋊C4C22×D311yescharacteristic
1043C2×C22⋊C4C22×D311yescharacteristic
1044C2×C22⋊C4C22×D311yescharacteristic
1045C2×C22⋊C4C22×D311yescharacteristic
1046C2×C22⋊C4C22×D311yescharacteristic
1047C2×C22⋊C4C22×D311yescharacteristic
1048C2×C22⋊C4C22×D311yescharacteristic
1049C2×C22⋊C4C22×D311yescharacteristic
1050C2×C22⋊C4C22×D311yescharacteristic
1051C2×C22⋊C4C22×D311yescharacteristic
1052C2×C22⋊C4C22×D311yescharacteristic
1053C2×C42—31no—
1054C2×C42C22×D311yescharacteristic
1055C2×C42C22×D311yescharacteristic
1056C2×C42C22×D311yescharacteristic
1057C2×C42C22×D311yescharacteristic
1058#95—31no—
1059#95—31no—
1060#95—31no—
1061#95—31no—
1062#95—31no—
1063#95—31no—
1064#95—31no—
1065#95—31no—
1066#95—31no—
1067#95—31no—
1068#95—31no—
1069#95—31no—
1070#95—31no—
1071#95—31no—
1072#95—31no—
1073#95—31no—
1074#95C22×D311yescharacteristic
1075#95C22×D311yescharacteristic
1076#95C22×D311yescharacteristic
1077#95C22×D311yescharacteristic
1078#95C22×D311yescharacteristic
1079#95C22×D311yescharacteristic
1080#95C22×D311yescharacteristic
1081#95C22×D311yescharacteristic
1082#95C22×D311yescharacteristic
1083#95C22×D311yescharacteristic
1084C23×C3—21no—
1085C23×C3—21no—
1086C23×C3—21no—
1087C23×C3—21no—
1088C23×C3—21no—
1089C23×C3—21no—
1090C23×C3—21no—
1091C23×C3—21no—
1092C23×C3—21no—
1093C23×C3—21no—
1094C23×C3—21no—
1095C23×C3—21no—
1096C23×C3—21no—
1097C23×C3H(5,𝔽2)12yes—
1098C23×C3C2511yescharacteristic
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—21no—
1122C22×D3—21no—
1123C22×D3—28no—
1124C22×D3—21no—
1125C22×D3—21no—
1126C22×D3—21no—
1127C22×D3—21no—
1128C22×D3—21no—
1129C22×D3—21no—
1130C22×D3—21no—
1131C22×D3—21no—
1132C22×D3—21no—
1133C22×D3—21no—
1134C22×D3—21no—
1135C22×D3—21no—
1136C22×D3—21no—
1137C22×D3—21no—
1138C22×D3—21no—
1139C22×D3—21no—
1140C22×D3—21no—
1141C22×D3—21no—
1142C22×D3—21no—
1143C22×D3—21no—
1144C22×D3—21no—
1145C22×D3—21no—
1146C22×D3—21no—
1147C22×D3—21no—
1148C22×D3—21no—
1149C22×D3—21no—
1150C22×D3—21no—
1151C22×D3—21no—
1152C22×D3—44no—
1153C22×D3—44no—
1154C22×D3—44no—
1155C22×D3—44no—
1156C22×D3—82no—
1157C22×D3—82no—
1158C22×D3—82no—
1159C22×D3—82no—
1160C22×D3—82no—
1161C22×D3—82no—
1162C22×D3—82no—
1163C22×D3—82no—
1164C22×D3—82no—
1165C22×D3—82no—
1166C22×D3—82no—
1167C22×D3—82no—
1168C22×D3—82no—
1169C22×D3—82no—
1170C22×D3—82no—
1171C22×D3—82no—
1172C22×D3C22×D412yes—
1173C22×D3C22×D412yes—
1174C22×D3C22×D412yes—
1175C22×D3H(5,𝔽2)12yes—
1176C3×Q8—28no—
1177C3×D4—44no—
1178C2×C3×C4—21no—
1179C2×C3×C4—21no—
1180C2×C3×C4—21no—
1181C2×C3×C4—21no—
1182C2×C3×C4—21no—
1183C2×C3×C4—21no—
1184C2×C3×C4—21no—
1185C2×C3×C4—21no—
1186C2×C3×C4—21no—
1187C2×C3×C4—21no—
1188C2×C3×C4—21no—
1189C2×C3×C4—21no—
1190C2×C3×C4—21no—
1191C2×C3×C4—21no—
1192C2×C3×C4—21no—
1193C2×C3×C4—21no—
1194C2×C3×C4—21no—
1195C2×C3×C4—21no—
1196C2×C3×C4—21no—
1197C2×C3×C4—21no—
1198C2×C3×C4—21no—
1199C2×C3×C4—21no—
1200C2×C3×C4—21no—
1201C2×C3×C4—21no—
1202C2×C3×C4—21no—
1203C2×C3×C4—21no—
1204C2×C3×C4—21no—
1205C2×C3×C4—21no—
1206C2×C3×C4—21no—
1207C2×C3×C4—21no—
1208C2×C3×C4—21no—
1209C2×C3×C4—21no—
1210C2×C3×C4—21no—
1211C2×C3×C4—44no—
1212C2×C3×C4C22×D412yes—
1213C2×C3×C4C22×D412yes—
1214C2×C3×C4C22×D412yes—
1215C2×C3×C4H(5,𝔽2)12yes—
1216C2×C3×C4H(5,𝔽2)12yes—
1217C2×C3×C4H(5,𝔽2)12yes—
1218#67—44no—
1219#67—44no—
1220#67—82no—
1221#67—82no—
1222#67—82no—
1223#67—82no—
1224#67—82no—
1225#67—82no—
1226#67—82no—
1227#67—82no—
1228C2×Dic3—21no—
1229C2×Dic3—21no—
1230C2×Dic3—21no—
1231C2×Dic3—21no—
1232C2×Dic3—21no—
1233C2×Dic3—21no—
1234C2×Dic3—21no—
1235C2×Dic3—21no—
1236C2×Dic3—21no—
1237C2×Dic3—21no—
1238C2×Dic3—21no—
1239C2×Dic3—21no—
1240C2×Dic3—21no—
1241C2×Dic3—21no—
1242C2×Dic3—21no—
1243C2×Dic3—21no—
1244C2×Dic3—21no—
1245C2×Dic3—21no—
1246C2×Dic3—21no—
1247C2×Dic3—21no—
1248C2×Dic3—21no—
1249C2×Dic3—21no—
1250C2×Dic3—21no—
1251C2×Dic3C22×D412yes—
1252D12—44no—
1253D12—44no—
1254D12—44no—
1255D12—44no—
1256D12—44no—
1257D12—44no—
1258D12—44no—
1259D12—44no—
1260D12—44no—
1261D12—44no—
1262D12—44no—
1263D12—44no—
1264D12—44no—
1265D12—44no—
1266D12—82no—
1267D12—82no—
1268D12—82no—
1269D12—82no—
1270D12—82no—
1271D12—82no—
1272D12—82no—
1273D12—82no—
1274D12—82no—
1275D12—82no—
1276D12—82no—
1277C4×D3—44no—
1278C4×D3—44no—
1279C4×D3—44no—
1280C4×D3—44no—
1281C4×D3—44no—
1282C4×D3—44no—
1283C4×D3—44no—
1284C4×D3—82no—
1285C4×D3—82no—
1286C4×D3—82no—
1287C24—31no—
1288C24—31no—
1289C24—31no—
1290C24—31no—
1291C24—31no—
1292C24—31no—
1293C24—31no—
1294C24—31no—
1295C24—62no—
1296C24—62no—
1297C24—62no—
1298C24—62no—
1299C24—62no—
1300C24—62no—
1301C24—62no—
1302C24—121no—
1303C24—121no—
1304C24—121no—
1305C24—121no—
1306C24—121no—
1307C24—121no—
1308C24—121no—
1309C24—121no—
1310C24—121no—
1311C24—121no—
1312C24—121no—
1313C24—121no—
1314C24—121no—
1315C24—121no—
1316C24C23×D311yescharacteristic
1317C24C23×D311yescharacteristic
1318#41—1216no—
1319#41—1216no—
1320C2×Q8—22no—
1321C2×Q8—22no—
1322C2×Q8—22no—
1323C2×D4—22no—
1324C2×D4—22no—
1325C2×D4—34no—
1326C2×D4—34no—
1327C2×D4—34no—
1328C2×D4—41no—
1329C2×D4—62no—
1330C2×D4—62no—
1331C2×D4—62no—
1332C2×D4—62no—
1333C2×D4—62no—
1334C2×D4—62no—
1335C2×D4—62no—
1336C2×D4—62no—
1337C2×D4—62no—
1338C2×D4—62no—
1339C2×D4—62no—
1340C2×D4—62no—
1341C2×D4—62no—
1342C2×D4—62no—
1343C2×D4—62no—
1344C2×D4—62no—
1345C2×D4—62no—
1346C2×D4—62no—
1347C2×D4—62no—
1348C2×D4—62no—
1349C2×D4—62no—
1350C2×D4—62no—
1351C2×D4—62no—
1352C2×D4—62no—
1353C2×D4—62no—
1354C2×D4—62no—
1355C2×D4—62no—
1356C2×D4—62no—
1357C2×D4—62no—
1358C2×D4—62no—
1359C2×D4—62no—
1360C2×D4—62no—
1361C2×D4—62no—
1362C2×D4—62no—
1363C2×D4—62no—
1364C2×D4—62no—
1365C2×D4—121no—
1366C2×D4—121no—
1367C2×D4—121no—
1368C2×D4—121no—
1369C2×D4—121no—
1370C2×D4—121no—
1371C2×D4—121no—
1372C2×D4—121no—
1373C2×D4—121no—
1374C2×D4—121no—
1375C2×D4—121no—
1376C2×D4—121no—
1377C2×D4—121no—
1378C2×D4—121no—
1379C2×D4—121no—
1380C2×D4—121no—
1381C2×D4—121no—
1382C2×D4—121no—
1383C2×D4—121no—
1384C2×D4—121no—
1385C2×D4—121no—
1386C2×D4—121no—
1387C2×D4—121no—
1388C2×D4—121no—
1389C2×D4—121no—
1390C2×D4—121no—
1391C2×D4—121no—
1392C2×D4—121no—
1393C2×D4—121no—
1394C2×D4—121no—
1395C2×D4—121no—
1396C2×D4—121no—
1397C2×D4—121no—
1398C2×D4—121no—
1399C2×D4—121no—
1400C2×D4—121no—
1401C2×D4—121no—
1402C2×D4—121no—
1403C2×D4—121no—
1404C2×D4—121no—
1405C2×D4—121no—
1406C2×D4—121no—
1407C2×D4—121no—
1408C2×D4—121no—
1409C2×D4—1216no—
1410C2×D4—121no—
1411C2×D4—121no—
1412C2×D4—121no—
1413C2×D4—121no—
1414C2×D4—121no—
1415C2×D4—121no—
1416C2×D4—121no—
1417C2×D4—121no—
1418C2×D4—121no—
1419C2×D4—121no—
1420C2×D4—121no—
1421C2×D4—121no—
1422C2×D4—121no—
1423C2×D4—121no—
1424C2×D4—121no—
1425C2×D4—121no—
1426C2×D4—121no—
1427C2×D4—121no—
1428C2×D4—121no—
1429C2×D4—121no—
1430C2×D4—121no—
1431C2×D4—121no—
1432C2×D4—1216no—
1433C22×C4—22no—
1434C22×C4—22no—
1435C22×C4—31no—
1436C22×C4—34no—
1437C22×C4—31no—
1438C22×C4—31no—
1439C22×C4—31no—
1440C22×C4—31no—
1441C22×C4—31no—
1442C22×C4—31no—
1443C22×C4—31no—
1444C22×C4—41no—
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—121no—
1458C22×C4—121no—
1459C22×C4—121no—
1460C22×C4—121no—
1461C22×C4—121no—
1462C22×C4—121no—
1463C22×C4—121no—
1464C22×C4—121no—
1465C22×C4—121no—
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×C4C23×D311yescharacteristic
1475C22×C4C23×D311yescharacteristic
1476C22×C4C23×D311yescharacteristic
1477C22×C4C23×D311yescharacteristic
1478C22×C4C23×D311yescharacteristic
1479C22×C4C23×D311yescharacteristic
1480C22×C4C23×D311yescharacteristic
1481C22×C4C23×D311yescharacteristic
1482C22×C4C23×D311yescharacteristic
1483C22×C4C23×D311yescharacteristic
1484C22×C4C23×D311yescharacteristic
1485C22×C4C23×D311yescharacteristic
1486C22×C4C23×D311yescharacteristic
1487C4⋊C4—22no—
1488C4⋊C4—22no—
1489C4⋊C4—22no—
1490C4⋊C4—22no—
1491C4⋊C4—41no—
1492C4⋊C4—41no—
1493C4⋊C4—62no—
1494C4⋊C4—62no—
1495C4⋊C4—62no—
1496C4⋊C4—62no—
1497C4⋊C4—121no—
1498C4⋊C4—121no—
1499C4⋊C4—121no—
1500C4⋊C4—121no—
1501C4⋊C4D3×D414yes—
1502C22⋊C4—22no—
1503C22⋊C4—22no—
1504C22⋊C4—22no—
1505C22⋊C4—22no—
1506C22⋊C4—22no—
1507C22⋊C4—22no—
1508C22⋊C4—22no—
1509C22⋊C4—22no—
1510C22⋊C4—22no—
1511C22⋊C4—22no—
1512C22⋊C4—34no—
1513C22⋊C4—34no—
1514C22⋊C4—41no—
1515C22⋊C4—62no—
1516C22⋊C4—62no—
1517C22⋊C4—62no—
1518C22⋊C4—62no—
1519C22⋊C4—62no—
1520C22⋊C4—62no—
1521C22⋊C4—62no—
1522C22⋊C4—62no—
1523C22⋊C4—62no—
1524C22⋊C4—62no—
1525C22⋊C4—62no—
1526C22⋊C4—62no—
1527C22⋊C4—62no—
1528C22⋊C4—62no—
1529C22⋊C4—62no—
1530C22⋊C4—62no—
1531C22⋊C4—62no—
1532C22⋊C4—62no—
1533C22⋊C4—121no—
1534C22⋊C4—121no—
1535C22⋊C4—121no—
1536C22⋊C4—121no—
1537C22⋊C4—121no—
1538C22⋊C4—121no—
1539C22⋊C4—121no—
1540C22⋊C4—121no—
1541C22⋊C4—121no—
1542C22⋊C4—121no—
1543C22⋊C4—121no—
1544C22⋊C4—121no—
1545C22⋊C4—121no—
1546C22⋊C4—121no—
1547C22⋊C4—121no—
1548C22⋊C4—121no—
1549C22⋊C4—121no—
1550C22⋊C4—121no—
1551C22⋊C4—121no—
1552C22⋊C4—121no—
1553C22⋊C4—121no—
1554C22⋊C4—121no—
1555C22⋊C4—121no—
1556C22⋊C4—121no—
1557C22⋊C4—121no—
1558C22⋊C4—121no—
1559C22⋊C4—121no—
1560C42—22no—
1561C42—22no—
1562C42—22no—
1563C42—41no—
1564C42—121no—
1565C22×C3—22no—
1566C22×C3—22no—
1567C22×C3—22no—
1568C22×C3—41no—
1569C22×C3—41no—
1570C22×C3—41no—
1571C22×C3—41no—
1572C22×C3—41no—
1573C22×C3—41no—
1574C22×C3—41no—
1575C22×C3—41no—
1576C22×C3—41no—
1577C22×C3—41no—
1578C22×C3—41no—
1579C22×C3C23×D411yescharacteristic
1580C22×C3C2×H(5,𝔽2)11yescharacteristic
1581C22×C3C2×H(5,𝔽2)11yescharacteristic
1582C22×C3C2×H(5,𝔽2)11yescharacteristic
1583C22×C3C2×H(5,𝔽2)11yescharacteristic
1584C22×C3C2×H(5,𝔽2)11yescharacteristic
1585C22×C3#58511yescharacteristic
1586C2×D3—22no—
1587C2×D3—22no—
1588C2×D3—22no—
1589C2×D3—22no—
1590C2×D3—22no—
1591C2×D3—22no—
1592C2×D3—22no—
1593C2×D3—22no—
1594C2×D3—22no—
1595C2×D3—22no—
1596C2×D3—22no—
1597C2×D3—22no—
1598C2×D3—41no—
1599C2×D3—41no—
1600C2×D3—41no—
1601C2×D3—41no—
1602C2×D3—41no—
1603C2×D3—41no—
1604C2×D3—41no—
1605C2×D3—41no—
1606C2×D3—41no—
1607C2×D3—41no—
1608C2×D3—41no—
1609C2×D3—41no—
1610C2×D3—41no—
1611C2×D3—41no—
1612C2×D3—41no—
1613C2×D3—41no—
1614C2×D3—41no—
1615C2×D3—41no—
1616C2×D3—41no—
1617C2×D3—41no—
1618C2×D3—41no—
1619C2×D3—41no—
1620C2×D3—41no—
1621C2×D3—41no—
1622C2×D3—41no—
1623C2×D3—41no—
1624C2×D3—41no—
1625C2×D3—41no—
1626C2×D3—41no—
1627C2×D3—41no—
1628C2×D3—41no—
1629C2×D3—41no—
1630C2×D3—41no—
1631C2×D3—41no—
1632C2×D3—41no—
1633C2×D3—41no—
1634C2×D3—41no—
1635C2×D3—41no—
1636C2×D3—41no—
1637C2×D3—41no—
1638C2×D3—41no—
1639C2×D3—41no—
1640C2×D3—41no—
1641C2×D3—41no—
1642C2×D3—88no—
1643C2×D3—88no—
1644C2×D3—88no—
1645C3×C4—22no—
1646C3×C4—22no—
1647C3×C4—22no—
1648C3×C4—22no—
1649C3×C4—22no—
1650C3×C4—22no—
1651C3×C4—41no—
1652C3×C4—41no—
1653C3×C4—41no—
1654C3×C4—41no—
1655C3×C4—41no—
1656C3×C4—41no—
1657C3×C4—41no—
1658Dic3—22no—
1659Dic3—41no—
1660Dic3—41no—
1661Dic3—41no—
1662Dic3—41no—
1663Dic3—41no—
1664Dic3—41no—
1665Dic3—41no—
1666C23—21no—
1667C23—21no—
1668C23—21no—
1669C23—21no—
1670C23—21no—
1671C23—21no—
1672C23—21no—
1673C23—21no—
1674C23—21no—
1675C23—21no—
1676C23—21no—
1677C23—21no—
1678C23—21no—
1679C23—32no—
1680C23—32no—
1681C23—32no—
1682C23—32no—
1683C23—68no—
1684C23—61no—
1685C23—61no—
1686C23—61no—
1687C23—61no—
1688C23—61no—
1689C23—61no—
1690C23—61no—
1691C23—61no—
1692C23—61no—
1693C23—61no—
1694C23—61no—
1695C23—61no—
1696C23—61no—
1697C23—61no—
1698C23—61no—
1699C23—61no—
1700C23—61no—
1701C23—61no—
1702C23—61no—
1703C23—61no—
1704C23—61no—
1705C23—61no—
1706C23—61no—
1707C23—61no—
1708C23—61no—
1709C23—61no—
1710C23—61no—
1711C23—61no—
1712C23—61no—
1713C23—61no—
1714C23—61no—
1715C23—61no—
1716C23—61no—
1717C23—61no—
1718C23—61no—
1719C23—61no—
1720C23—61no—
1721C23—61no—
1722C23—61no—
1723C23—61no—
1724C23—61no—
1725C23—61no—
1726C23—61no—
1727C23—61no—
1728C23—61no—
1729C23—61no—
1730C23—61no—
1731C23—61no—
1732C23—61no—
1733C23—61no—
1734C23—61no—
1735C23—61no—
1736C23—124no—
1737C23—124no—
1738C23—124no—
1739C23—124no—
1740C23—242no—
1741C23—242no—
1742C23—242no—
1743C23—242no—
1744C23—242no—
1745C23—242no—
1746C23—242no—
1747C23—242no—
1748C23—242no—
1749C23—242no—
1750C23—242no—
1751C23—242no—
1752C23—242no—
1753C23—242no—
1754C23—242no—
1755C23—242no—
1756C23#100912yes—
1757C23C24×D311yescharacteristic
1758Q8—28no—
1759D4—44no—
1760D4—124no—
1761D4—124no—
1762D4—124no—
1763D4—124no—
1764D4—124no—
1765D4—124no—
1766D4—124no—
1767D4—124no—
1768D4—124no—
1769D4—124no—
1770D4—124no—
1771D4—124no—
1772D4—124no—
1773D4—124no—
1774D4—124no—
1775D4—124no—
1776D4—242no—
1777D4—242no—
1778D4—242no—
1779D4—242no—
1780D4—242no—
1781D4—242no—
1782D4—242no—
1783D4—242no—
1784D4—242no—
1785D4—242no—
1786D4—242no—
1787D4—242no—
1788D4—242no—
1789D4—242no—
1790D4—242no—
1791D4—242no—
1792D4—242no—
1793D4—242no—
1794D4—242no—
1795C2×C4—21no—
1796C2×C4—21no—
1797C2×C4—21no—
1798C2×C4—21no—
1799C2×C4—21no—
1800C2×C4—21no—
1801C2×C4—21no—
1802C2×C4—21no—
1803C2×C4—21no—
1804C2×C4—21no—
1805C2×C4—21no—
1806C2×C4—21no—
1807C2×C4—21no—
1808C2×C4—21no—
1809C2×C4—21no—
1810C2×C4—21no—
1811C2×C4—21no—
1812C2×C4—21no—
1813C2×C4—21no—
1814C2×C4—21no—
1815C2×C4—21no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—21no—
1822C2×C4—21no—
1823C2×C4—21no—
1824C2×C4—21no—
1825C2×C4—21no—
1826C2×C4—21no—
1827C2×C4—21no—
1828C2×C4—32no—
1829C2×C4—44no—
1830C2×C4—61no—
1831C2×C4—61no—
1832C2×C4—61no—
1833C2×C4—61no—
1834C2×C4—61no—
1835C2×C4—61no—
1836C2×C4—61no—
1837C2×C4—61no—
1838C2×C4—61no—
1839C2×C4—61no—
1840C2×C4—61no—
1841C2×C4—61no—
1842C2×C4—61no—
1843C2×C4—61no—
1844C2×C4—61no—
1845C2×C4—61no—
1846C2×C4—61no—
1847C2×C4—61no—
1848C2×C4—61no—
1849C2×C4—61no—
1850C2×C4—61no—
1851C2×C4—61no—
1852C2×C4—61no—
1853C2×C4—124no—
1854C2×C4—124no—
1855C2×C4—124no—
1856C2×C4—124no—
1857C2×C4—124no—
1858C2×C4—124no—
1859C2×C4—124no—
1860C2×C4—242no—
1861C2×C4—242no—
1862C2×C4—242no—
1863C2×C4C2×D3×D412yes—
1864C2×C4C2×D3×D412yes—
1865C2×C4C2×D3×D412yes—
1866C2×C4#100912yes—
1867C2×C4#100912yes—
1868C2×C4#100912yes—
1869C2×C3—42no—
1870C2×C3—81no—
1871C2×C3#348411yescharacteristic
1872C2×C3#348411yescharacteristic
1873C2×C3#348811yescharacteristic
1874C2×C3#354211yescharacteristic
1875C2×C3#354211yescharacteristic
1876C2×C3#354311yescharacteristic
1877C2×C3#354311yescharacteristic
1878D3—42no—
1879D3—42no—
1880D3—42no—
1881D3—42no—
1882D3—81no—
1883D3—81no—
1884D3—81no—
1885D3—81no—
1886C22—22no—
1887C22—22no—
1888C22—22no—
1889C22—41no—
1890C22—41no—
1891C22—41no—
1892C22—41no—
1893C22—41no—
1894C22—41no—
1895C22—41no—
1896C22—41no—
1897C22—41no—
1898C22—41no—
1899C22—41no—
1900C22—62no—
1901C22—62no—
1902C22—62no—
1903C22—62no—
1904C22—62no—
1905C22—62no—
1906C22—62no—
1907C22—62no—
1908C22—62no—
1909C22—62no—
1910C22—62no—
1911C22—62no—
1912C22—121no—
1913C22—121no—
1914C22—121no—
1915C22—121no—
1916C22—121no—
1917C22—121no—
1918C22—121no—
1919C22—121no—
1920C22—121no—
1921C22—121no—
1922C22—121no—
1923C22—121no—
1924C22—121no—
1925C22—121no—
1926C22—121no—
1927C22—121no—
1928C22—121no—
1929C22—121no—
1930C22—121no—
1931C22—121no—
1932C22—121no—
1933C22—121no—
1934C22—121no—
1935C22—121no—
1936C22—121no—
1937C22—121no—
1938C22—121no—
1939C22—121no—
1940C22—121no—
1941C22—121no—
1942C22—121no—
1943C22—121no—
1944C22—121no—
1945C22—121no—
1946C22—121no—
1947C22—121no—
1948C22—121no—
1949C22—121no—
1950C22—121no—
1951C22—121no—
1952C22—121no—
1953C22—121no—
1954C22—121no—
1955C22—121no—
1956C22—248no—
1957C22—248no—
1958C22—248no—
1959C22C22×D3×D411yescharacteristic
1960C22C2×#100911yescharacteristic
1961C22C2×#100911yescharacteristic
1962C22C2×#100911yescharacteristic
1963C22C2×#100911yescharacteristic
1964C22D3×H(5,𝔽2)11yescharacteristic
1965C22#596811yescharacteristic
1966C4—22no—
1967C4—22no—
1968C4—22no—
1969C4—22no—
1970C4—22no—
1971C4—22no—
1972C4—41no—
1973C4—41no—
1974C4—41no—
1975C4—41no—
1976C4—41no—
1977C4—41no—
1978C4—41no—
1979C4—62no—
1980C4—121no—
1981C4—121no—
1982C4—121no—
1983C4—121no—
1984C4—121no—
1985C4—121no—
1986C4—121no—
1987C3#4783111yescharacteristic, complemented, Sylow
1988C2—42no—
1989C2—81no—
1990C2—122no—
1991C2—122no—
1992C2—122no—
1993C2—122no—
1994C2—241no—
1995C2—241no—
1996C2—241no—
1997C2—241no—
1998C2#8603911yescharacteristic
1999C2#8617211yescharacteristic
2000C2#8656311yescharacteristic
2001C2#8666211yescharacteristic
2002C2#8671311yescharacteristic
2003C2#8684611yescharacteristic
2004C2#8706611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2458C2
hypercenter#2458D3
hypocenterC3#47831
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2458

Complements

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

NH ≅ G/Ntype
1. C2×#5653C2semidirect
2. C2×#5577C2semidirect
3. C3×#2458C2semidirect
4. #82906C2semidirect
5. #82497C2semidirect
6. #77978C2semidirect
7. #77967C2semidirect
8. #77128C2semidirect
9. #77108C2semidirect
10. #76863C2semidirect
11. #76863C2semidirect
12. #76863C2semidirect
13. #76809C2semidirect
14. #76442C2semidirect
15. #76314C2semidirect
16. #75924C2semidirect
17. #75914C2semidirect
18. #75912C2semidirect
19. #75912C2semidirect
20. #75912C2semidirect
21. #75902C2semidirect
22. #75881C2semidirect
23. #75846C2semidirect
24. #75387C2semidirect
25. #75387C2semidirect
26. #75324C2semidirect
27. #75313C2semidirect
28. #74627C2semidirect
29. #74601C2semidirect
30. #73589C2semidirect
31. #73587C2semidirect
33. C22×#239C22semidirect
34. C22×#239C22semidirect
38. C2×C3×C4×Q8C22semidirect
41. C2×#930C22semidirect
48. C2×#895C22semidirect
49. C2×#895C22semidirect
50. C2×#895C22semidirect
51. C2×#895C22semidirect
52. C2×#895C22semidirect
53. C2×#895C22semidirect
54. C2×#895C22semidirect
57. C2×#894C22semidirect
61. C2×#884C22semidirect
62. C2×#884C22semidirect
63. C2×#884C22semidirect
70. C2×#882C22semidirect
71. C2×#882C22semidirect
72. C2×#882C22semidirect
73. C2×#882C22semidirect
74. C2×#882C22semidirect
75. C2×#882C22semidirect
77. C2×D3×C22⋊C4C22semidirect
78. C2×D3×C22⋊C4C22semidirect
80. C2×#874C22semidirect
81. C2×#874C22semidirect
82. C2×#874C22semidirect
83. C2×C4×D12C22semidirect
84. C2×C4×D12C22semidirect
85. C2×C4×D12C22semidirect
86. C3×#398C22semidirect
88. C3×#393C22semidirect
89. C3×#393C22semidirect
91. C3×#388C22semidirect
92. C3×#388C22semidirect
93. C3×#388C22semidirect
94. C3×#388C22semidirect
95. C3×#387C22semidirect
96. C3×#387C22semidirect
97. C3×#385C22semidirect
98. C3×C4×C22⋊C4C22semidirect
99. #5231C22semidirect
100. #5231C22semidirect
102. #5213C22semidirect
103. #4994C22semidirect
104. #4993C22semidirect
106. #4991C22semidirect
107. #4991C22semidirect
108. #4991C22semidirect
109. #4991C22semidirect
110. #4991C22semidirect
111. #4990C22semidirect
112. #4990C22semidirect
113. #4989C22semidirect
114. #4989C22semidirect
115. #4988C22semidirect
116. #4982C22semidirect
117. #4980C22semidirect
118. #4961C22semidirect
119. #4961C22semidirect
122. #4960C22semidirect
123. #4960C22semidirect
124. #4960C22semidirect
125. #4960C22semidirect
126. #4960C22semidirect
127. #4960C22semidirect
128. #4960C22semidirect
129. #4960C22semidirect
130. #4960C22semidirect
131. #4959C22semidirect
132. #4959C22semidirect
134. #4956C22semidirect
135. #4956C22semidirect
136. #4956C22semidirect
137. #4956C22semidirect
138. #4956C22semidirect
140. #4948C22semidirect
141. #4940C22semidirect
142. #4940C22semidirect
143. #4940C22semidirect
144. #4940C22semidirect
145. #4940C22semidirect
147. #4939C22semidirect
148. C4×(C2×D3)⋊C4C22semidirect
149. #4933C22semidirect
150. #4672C22semidirect
151. #4672C22semidirect
152. #4672C22semidirect
153. #4672C22semidirect
157. #4671C22semidirect
158. #4671C22semidirect
159. #4671C22semidirect
160. #4671C22semidirect
161. #4671C22semidirect
162. #4671C22semidirect
163. #4671C22semidirect
164. #4671C22semidirect
165. #4669C22semidirect
166. #4668C22semidirect
167. #4667C22semidirect
168. #4667C22semidirect
169. #4667C22semidirect
171. #4665C22semidirect
172. #4665C22semidirect
173. #4665C22semidirect
174. #4665C22semidirect
175. #4665C22semidirect
176. #4665C22semidirect
177. #4665C22semidirect
178. #4665C22semidirect
179. #4665C22semidirect
180. #4665C22semidirect
181. #4665C22semidirect
182. #4665C22semidirect
183. #4665C22semidirect
184. #4665C22semidirect
185. #4664C22semidirect
186. #4664C22semidirect
187. #4664C22semidirect
188. #4664C22semidirect
189. #4660C22semidirect
208. #2458D3semidirect
377. #895D4semidirect
481. C2×C4×Q8C2×D3semidirect
491. #398C2×D3semidirect
511. #393C2×D3semidirect
512. #393C2×D3semidirect
548. #388C2×D3semidirect
549. #388C2×D3semidirect
550. #388C2×D3semidirect
551. #388C2×D3semidirect
554. #387C2×D3semidirect
555. #387C2×D3semidirect
581. #385C2×D3semidirect
591. C4×C22⋊C4C2×D3semidirect
1987. C3#47831semidirect

Maximal subgroups

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

subgroupindex
C2×#56532
C2×#55772
C3×#24582
#829062
#824972
#779782
#779672
#771282
#771082
#768632
#768092
#764422
#763142
#759242
#759142
#759122
#759022
#758812
#758462
#753872
#753242
#753132
#746272
#746012
#735892
#735872
#478313