Finite Group Databasebeta

← #11635555

Subgroups — #11635555

Order 768.

3132 conjugacy classes of subgroups.

The subgroup lattice has 1788 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5655C211yesmaximal, characteristic, complemented
2C2×#5655C211yesmaximal, characteristic, complemented
3C2×#5551C211yesmaximal, characteristic, complemented
4C2×#5548C211yesmaximal, characteristic, complemented
5C3×#2455C211yesmaximal, characteristic, complemented
6#82869C211yesmaximal, characteristic, complemented
7#82845C211yesmaximal, characteristic, complemented
8#82360C211yesmaximal, characteristic, complemented
9#82340C211yesmaximal, characteristic, complemented
10#78115C211yesmaximal, characteristic, complemented
11#78030C211yesmaximal, characteristic, complemented
12#77115C211yesmaximal, characteristic, complemented
13#77001C211yesmaximal, characteristic, complemented
14#76906C211yesmaximal, characteristic, complemented
15#76898C211yesmaximal, characteristic, complemented
16#76757C211yesmaximal, characteristic, complemented
17#76671C211yesmaximal, characteristic, complemented
18#76225C211yesmaximal, characteristic, complemented
19#76217C211yesmaximal, characteristic, complemented
20D3×#389C211yesmaximal, characteristic, complemented
21#76064C211yesmaximal, characteristic, complemented
22#75850C211yesmaximal, characteristic, complemented
23#75666C211yesmaximal, characteristic, complemented
24#75477C211yesmaximal, characteristic, complemented
25#75453C211yesmaximal, characteristic, complemented
26#74606C211yesmaximal, characteristic, complemented
27#74600C211yesmaximal, characteristic, complemented
28#74600C211yesmaximal, characteristic, complemented
29#74425C211yesmaximal, characteristic, complemented
30#74416C211yesmaximal, characteristic, complemented
31#74393C211yesmaximal, characteristic, complemented
32#59112—31nomaximal, Sylow
33C22×#237C2211yescharacteristic
34C22×#235C2211yescharacteristic
35C22×#235C2211yescharacteristic
36C22×#235C2211yescharacteristic
37C2×C3×#123C2211yescharacteristic
38C2×C3×#123C2211yescharacteristic
39C2×C3×C4×D4C2211yescharacteristic
40C2×C3×C4×D4C2211yescharacteristic
41C2×#940C2211yescharacteristic
42C2×#939C2211yescharacteristic
43C2×#939C2211yescharacteristic
44C2×#939C2211yescharacteristic
45C2×#938C2211yescharacteristic
46C2×#938C2211yescharacteristic
47C2×#938C2211yescharacteristic
48C2×C4×#67C2211yescharacteristic
49C2×C4×#67C2211yescharacteristic
50C2×#924C2211yescharacteristic
51C2×#924C2211yescharacteristic
52C22×Dic3⋊C4C2211yescharacteristic
53C22×Dic3⋊C4C2211yescharacteristic
54#5655—28no—
55#5655—28no—
56#5551—28no—
57#5548—28no—
58C2×#896C2211yescharacteristic
59C2×#896C2211yescharacteristic
60C2×#895C2211yescharacteristic
61C2×#894C2211yescharacteristic
62C2×#894C2211yescharacteristic
63C2×#894C2211yescharacteristic
64C2×D3×C4⋊C4C2211yescharacteristic
65C2×D3×C4⋊C4C2211yescharacteristic
66C2×D3×C4⋊C4C2211yescharacteristic
67C2×D3×C4⋊C4C2211yescharacteristic
68C2×D3×C4⋊C4C2211yescharacteristic
69C2×#888C2211yescharacteristic
70C2×#888C2211yescharacteristic
71C2×#888C2211yescharacteristic
72C2×#886C2211yescharacteristic
73C2×#886C2211yescharacteristic
74C2×#885C2211yescharacteristic
75C2×#885C2211yescharacteristic
76C2×#884C2211yescharacteristic
77C2×#884C2211yescharacteristic
78C2×#884C2211yescharacteristic
79C2×#883C2211yescharacteristic
80C2×#883C2211yescharacteristic
81C2×#883C2211yescharacteristic
82C2×#883C2211yescharacteristic
83C2×#883C2211yescharacteristic
84C2×#883C2211yescharacteristic
85C2×#67⋊C4C2211yescharacteristic
86C2×#67⋊C4C2211yescharacteristic
87C2×#67⋊C4C2211yescharacteristic
88C2×#67⋊C4C2211yescharacteristic
89C2×#67⋊C4C2211yescharacteristic
90C2×#878C2211yescharacteristic
91C2×#878C2211yescharacteristic
92C2×C4×D12C2211yescharacteristic
93C2×C4×D12C2211yescharacteristic
94C2×C42×D3C2211yescharacteristic
95C2×#869C2211yescharacteristic
96C3×#399C2211yescharacteristic
97C3×#394C2211yescharacteristic
98C3×#394C2211yescharacteristic
99C3×#392C2211yescharacteristic
100C3×#389C2211yescharacteristic
101C3×#389C2211yescharacteristic
102C3×#388C2211yescharacteristic
103C3×#388C2211yescharacteristic
104C3×#385C2211yescharacteristic
105C3×#385C2211yescharacteristic
106C3×#385C2211yescharacteristic
107#5222C2211yescharacteristic
108#5220C2211yescharacteristic
109#5220C2211yescharacteristic
110#5220C2211yescharacteristic
111#5213C2211yescharacteristic
112#5210C2211yescharacteristic
113#5210C2211yescharacteristic
114#4994C2211yescharacteristic
115#4994C2211yescharacteristic
116#4993C2211yescharacteristic
117#4992C2211yescharacteristic
118#4991C2211yescharacteristic
119#4989C2211yescharacteristic
120#4989C2211yescharacteristic
121#4989C2211yescharacteristic
122#4989C2211yescharacteristic
123#4989C2211yescharacteristic
124#4984C2211yescharacteristic
125#4984C2211yescharacteristic
126#4982C2211yescharacteristic
127#4979C2211yescharacteristic
128#4979C2211yescharacteristic
129#4979C2211yescharacteristic
130#4976C2211yescharacteristic
131#4976C2211yescharacteristic
132#4975C2211yescharacteristic
133#4975C2211yescharacteristic
134Dic3×C4⋊C4C2211yescharacteristic
135#4972C2211yescharacteristic
136#4961C2211yescharacteristic
137#4961C2211yescharacteristic
138#4961C2211yescharacteristic
139#4960C2211yescharacteristic
140#4959C2211yescharacteristic
141#4959C2211yescharacteristic
142#4959C2211yescharacteristic
143#4957C2211yescharacteristic
144#4957C2211yescharacteristic
145#4957C2211yescharacteristic
146#4957C2211yescharacteristic
147#4956C2211yescharacteristic
148#4956C2211yescharacteristic
149#4956C2211yescharacteristic
150#4953C2211yescharacteristic
151#4950C2211yescharacteristic
152#4950C2211yescharacteristic
153#4950C2211yescharacteristic
154#4949C2211yescharacteristic
155#4948C2211yescharacteristic
156#4948C2211yescharacteristic
157#4947C2211yescharacteristic
158#4944C2211yescharacteristic
159#4944C2211yescharacteristic
160#4942C2211yescharacteristic
161#4942C2211yescharacteristic
162Dic3×C22⋊C4C2211yescharacteristic
163Dic3×C22⋊C4C2211yescharacteristic
164#4940C2211yescharacteristic
165#4933C2211yescharacteristic
166C4×Dic3⋊C4C2211yescharacteristic
167#4928C2211yescharacteristic
168#4677C2211yescharacteristic
169#4673C2211yescharacteristic
170#4670C2211yescharacteristic
171#4668C2211yescharacteristic
172#4668C2211yescharacteristic
173#4667C2211yescharacteristic
174#4666C2211yescharacteristic
175#4665C2211yescharacteristic
176#4665C2211yescharacteristic
177#4665C2211yescharacteristic
178#4665C2211yescharacteristic
179#4664C2211yescharacteristic
180D3×#95C2211yescharacteristic
181D3×#95C2211yescharacteristic
182#4657C2211yescharacteristic
183#4656C2211yescharacteristic
184#4656C2211yescharacteristic
185#4656C2211yescharacteristic
186#4653C2211yescharacteristic
187#4649C2211yescharacteristic
188#4647C2211yescharacteristic
189#4647C2211yescharacteristic
190#4647C2211yescharacteristic
191#4647C2211yescharacteristic
192C2×#547—31no—
193C2×#547—31no—
194C2×#547—31no—
195C2×#532—31no—
196#2674—31no—
197#2674—31no—
198#2672—31no—
199#2672—31no—
200#2551—31no—
201#2501—31no—
202#2455—31no—
203#2455D311yescharacteristic, complemented
204#2452—31no—
205#2449—31no—
206#2449—31no—
207#2445—31no—
208#2440—31no—
209#2430—31no—
210#2430—31no—
211#2428—31no—
212#2425—31no—
213#2425—31no—
214#2422—31no—
215#2416—31no—
216#2406—31no—
217#2406—31no—
218#2361—31no—
219#2361—31no—
220D4×C4⋊C4—31no—
221C4×#123—31no—
222C2×#389—31no—
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C23×Dic3C2311yescharacteristic
239C23×Dic3C2311yescharacteristic
240C23×Dic3C2311yescharacteristic
241C23×Dic3C2311yescharacteristic
242C2×#237—24no—
243C2×#237—24no—
244C2×#237—42no—
245C2×#235—24no—
246C2×#235—24no—
247C2×#235—24no—
248C2×#235—24no—
249C2×#235—24no—
250C2×#235—24no—
251C2×#235—42no—
252C2×#235—42no—
253C2×#235—42no—
254C22×D12C2311yescharacteristic
255C22×D12C2311yescharacteristic
256C22×D12C2311yescharacteristic
257C22×C4×D3C2311yescharacteristic
258C22×C4×D3C2311yescharacteristic
259C22×C4×D3C2311yescharacteristic
260C22×C4×D3C2311yescharacteristic
261C22×C4×D3C2311yescharacteristic
262C22×C4×D3C2311yescharacteristic
263C22×C4×D3C2311yescharacteristic
264C22×C4×D3C2311yescharacteristic
265C22×C4×D3C2311yescharacteristic
266C22×C4×D3C2311yescharacteristic
267C22×C4×D3C2311yescharacteristic
268C22×Dic6C2311yescharacteristic
269C22×Dic6C2311yescharacteristic
270C22×Dic6C2311yescharacteristic
271C22×Dic6C2311yescharacteristic
272C3×#123—24no—
273C3×#123—24no—
274C3×C4×D4—24no—
275C3×C4×D4—24no—
276C2×C3×C4⋊C4C2311yescharacteristic
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×C22⋊C4C2311yescharacteristic
286C2×C3×C22⋊C4C2311yescharacteristic
287C2×C3×C22⋊C4C2311yescharacteristic
288C2×C3×C22⋊C4C2311yescharacteristic
289C2×C3×C22⋊C4C2311yescharacteristic
290C2×C3×C22⋊C4C2311yescharacteristic
291C2×C3×C22⋊C4C2311yescharacteristic
292C2×C3×C22⋊C4C2311yescharacteristic
293C2×C3×C22⋊C4C2311yescharacteristic
294C2×C3×C22⋊C4C2311yescharacteristic
295C2×C3×C22⋊C4C2311yescharacteristic
296C2×C3×C22⋊C4C2311yescharacteristic
297C2×C3×C42C2311yescharacteristic
298C2×C3×C42C2311yescharacteristic
299C2×#217C2311yescharacteristic
300C2×#217C2311yescharacteristic
301C2×#217C2311yescharacteristic
302C2×#217C2311yescharacteristic
303C2×#217C2311yescharacteristic
304C2×#217C2311yescharacteristic
305C2×#217C2311yescharacteristic
306C2×#217C2311yescharacteristic
307C2×#217C2311yescharacteristic
308C2×#217C2311yescharacteristic
309C2×#217C2311yescharacteristic
310#940—24no—
311#939—24no—
312#939—24no—
313#939—24no—
314#938—24no—
315#938—24no—
316#938—24no—
317C4×#67—24no—
318C4×#67—24no—
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×C4⋊Dic3C2311yescharacteristic
339C2×C4⋊Dic3C2311yescharacteristic
340C2×C4⋊Dic3C2311yescharacteristic
341C2×C4⋊Dic3C2311yescharacteristic
342C2×C4⋊Dic3C2311yescharacteristic
343C2×C4⋊Dic3C2311yescharacteristic
344C2×C4⋊Dic3C2311yescharacteristic
345C2×C4⋊Dic3C2311yescharacteristic
346C2×C4⋊Dic3C2311yescharacteristic
347C2×C4⋊Dic3C2311yescharacteristic
348C2×C4⋊Dic3C2311yescharacteristic
349#924—24no—
350#924—24no—
351C2×Dic3⋊C4—24no—
352C2×Dic3⋊C4—24no—
353C2×Dic3⋊C4C2311yescharacteristic
354C2×Dic3⋊C4C2311yescharacteristic
355C2×Dic3⋊C4C2311yescharacteristic
356C2×Dic3⋊C4C2311yescharacteristic
357C2×Dic3⋊C4C2311yescharacteristic
358C2×Dic3⋊C4C2311yescharacteristic
359C2×Dic3⋊C4C2311yescharacteristic
360C2×Dic3⋊C4C2311yescharacteristic
361C2×Dic3⋊C4C2311yescharacteristic
362C2×Dic3⋊C4C2311yescharacteristic
363C2×Dic3⋊C4C2311yescharacteristic
364C2×Dic3⋊C4C2311yescharacteristic
365C2×Dic3⋊C4C2311yescharacteristic
366C2×Dic3⋊C4C2311yescharacteristic
367C2×Dic3⋊C4C2311yescharacteristic
368C2×Dic3⋊C4C2311yescharacteristic
369C2×Dic3⋊C4C2311yescharacteristic
370C2×Dic3⋊C4C2311yescharacteristic
371C2×Dic3⋊C4C2311yescharacteristic
372C2×Dic3⋊C4C2311yescharacteristic
373C2×Dic3⋊C4C2311yescharacteristic
374C2×C4×Dic3C2311yescharacteristic
375C2×C4×Dic3C2311yescharacteristic
376C2×C4×Dic3C2311yescharacteristic
377C2×C4×Dic3C2311yescharacteristic
378C2×C4×Dic3C2311yescharacteristic
379C2×C4×Dic3C2311yescharacteristic
380C2×C4×Dic3C2311yescharacteristic
381#896—24no—
382#896—24no—
383#895—24no—
384#894—24no—
385#894—24no—
386#894—42no—
387D3×C4⋊C4—24no—
388D3×C4⋊C4—24no—
389D3×C4⋊C4—24no—
390D3×C4⋊C4—24no—
391D3×C4⋊C4—24no—
392#888—24no—
393#888—24no—
394#888—24no—
395#886—24no—
396#886—24no—
397#885—24no—
398#885—24no—
399#884—24no—
400#884—24no—
401#884D418yescomplemented
402#883—24no—
403#883—24no—
404#883—24no—
405#883—24no—
406#883—42no—
407#883D418yescomplemented
408#67⋊C4—24no—
409#67⋊C4—24no—
410#67⋊C4—24no—
411#67⋊C4—24no—
412#67⋊C4—24no—
413#878—24no—
414#878—24no—
415C4×D12—24no—
416C4×D12—24no—
417C42×D3—24no—
418#869—24no—
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
435C3⋊#95C2311yescharacteristic
436C3⋊#95C2311yescharacteristic
437C3⋊#95C2311yescharacteristic
438C3⋊#95C2311yescharacteristic
439C3⋊#95C2311yescharacteristic
440C3⋊#95C2311yescharacteristic
441C3⋊#95C2311yescharacteristic
442C3⋊#95C2311yescharacteristic
443C3⋊#95C2311yescharacteristic
444C3⋊#95C2311yescharacteristic
445C22×#41—31no—
446C22×#41—31no—
447C22×#41—31no—
448C22×#41—31no—
449#547—68no—
450#547—68no—
451#547—68no—
452#532—68no—
453C2×C4⋊Q8—31no—
454C2×C4⋊Q8—31no—
455C2×C4⋊Q8—31no—
456C2×C4⋊Q8—31no—
457C2×#127—31no—
458C2×#124—31no—
459C2×#124—31no—
460C2×#123—31no—
461C2×#123—31no—
462C2×#123—31no—
463C2×#123—31no—
464C2×#123—31no—
465C2×#123—31no—
466C2×#123—31no—
467C2×#123—31no—
468C2×#123—31no—
469C2×#123—31no—
470C2×#123—31no—
471C2×#123C2×D311yescharacteristic
472C2×#123C2×D311yescharacteristic
473C2×C22⋊Q8—31no—
474C2×C22⋊Q8—31no—
475C2×C22⋊Q8—31no—
476C2×C22⋊Q8—31no—
477C2×C22⋊Q8—31no—
478C2×C22⋊Q8—31no—
479C2×#121—31no—
480C2×#121—31no—
481C2×#121—31no—
482C2×#121—31no—
483C2×#121—31no—
484C2×#121—31no—
485C2×#121—31no—
486C2×#121—31no—
487C2×#121—31no—
488C2×#121—31no—
489C2×C4×D4—31no—
490C2×C4×D4—31no—
491C2×C4×D4—31no—
492C2×C4×D4—31no—
493C2×C4×D4—31no—
494C2×C4×D4—31no—
495C2×C4×D4—31no—
496C2×C4×D4—31no—
497C2×C4×D4—31no—
498C2×C4×D4C2×D311yescharacteristic
499C2×C4×D4C2×D311yescharacteristic
500C22×C4⋊C4—31no—
501C22×C4⋊C4—31no—
502C22×C4⋊C4—31no—
503C22×C4⋊C4—31no—
504C22×C4⋊C4—31no—
505C22×C4⋊C4—31no—
506C22×C4⋊C4—31no—
507C22×C42—31no—
508#399—31no—
509#399—31no—
510#399—31no—
511#399C2×D311yescharacteristic
512#398—31no—
513#398—31no—
514#397—31no—
515#397—31no—
516#396—31no—
517#396—31no—
518#396—31no—
519#396—31no—
520#395—31no—
521#395—31no—
522#395—31no—
523#395—31no—
524#395—31no—
525#395—31no—
526#394—31no—
527#394—31no—
528#394—31no—
529#394—31no—
530#394—31no—
531#394—31no—
532#394—31no—
533#394—31no—
534#394C2×D311yescharacteristic
535#394C2×D311yescharacteristic
536#393—31no—
537#393—31no—
538#392—31no—
539#392C2×D311yescharacteristic
540#390—31no—
541#390—31no—
542#390—31no—
543#390—31no—
544#389—31no—
545#389—31no—
546#389—31no—
547#389—31no—
548#389—31no—
549#389—31no—
550#389—31no—
551#389—31no—
552#389—31no—
553#389—31no—
554#389C2×D311yescharacteristic
555#389C2×D311yescharacteristic
556#388—31no—
557#388—31no—
558#388—31no—
559#388—31no—
560#388C2×D311yescharacteristic
561#388C2×D311yescharacteristic
562#387—31no—
563#387—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#385—31no—
576#385—31no—
577#385—31no—
578#385—31no—
579#385—31no—
580#385—31no—
581#385—31no—
582#385—31no—
583#385—31no—
584#385—31no—
585#385—31no—
586#385—31no—
587#385C2×D311yescharacteristic
588#385C2×D311yescharacteristic
589#385C2×D311yescharacteristic
590#384—31no—
591#384—31no—
592#381—31no—
593#380—31no—
594#380—31no—
595#380—31no—
596C4×C4⋊C4—31no—
597C4×C4⋊C4—31no—
598C4×C4⋊C4—31no—
599C4×C22⋊C4—31no—
600C4×C22⋊C4—31no—
601C4×C22⋊C4—31no—
602C2×#95—31no—
603C2×#95—31no—
604C24×C3C2411yescharacteristic
605C24×C3C2411yescharacteristic
606C24×C3C2411yescharacteristic
607C23×D3C2411yescharacteristic
608C23×D3C2411yescharacteristic
609C23×D3C2411yescharacteristic
610C2×C3×D4—22no—
611C2×C3×D4—22no—
612C2×C3×D4—22no—
613C2×C3×D4—22no—
614C2×C3×D4—22no—
615C2×C3×D4—22no—
616C2×C3×D4—41no—
617C2×C3×D4—41no—
618C2×C3×D4—41no—
619C22×C3×C4—22no—
620C22×C3×C4—22no—
621C22×C3×C4—22no—
622C22×C3×C4—22no—
623C22×C3×C4—22no—
624C22×C3×C4—22no—
625C22×C3×C4—41no—
626C22×C3×C4—41no—
627C22×C3×C4—41no—
628C22×C3×C4C2411yescharacteristic
629C22×C3×C4C2411yescharacteristic
630C22×C3×C4C2411yescharacteristic
631C22×C3×C4C2411yescharacteristic
632C22×C3×C4C2411yescharacteristic
633C22×C3×C4C2411yescharacteristic
634C22×C3×C4C2411yescharacteristic
635C22×C3×C4C2411yescharacteristic
636C22×C3×C4C2411yescharacteristic
637C22×C3×C4C2411yescharacteristic
638C22×C3×C4C2411yescharacteristic
639C22×C3×C4C2411yescharacteristic
640C2×#67—22no—
641C2×#67—22no—
642C2×#67—22no—
643C2×#67—22no—
644C2×#67—22no—
645C2×#67—22no—
646C2×#67—22no—
647C2×#67—22no—
648C2×#67—22no—
649C2×#67—22no—
650C2×#67—22no—
651C2×#67—22no—
652C2×#67—22no—
653C2×#67—22no—
654C2×#67—22no—
655C2×#67—22no—
656C2×#67—22no—
657C2×#67—22no—
658C2×#67—22no—
659C2×#67—22no—
660C2×#67—41no—
661C2×#67—41no—
662C2×#67—41no—
663C2×#67—41no—
664C2×#67C2×D414yes—
665C2×#67C2×D414yes—
666C2×#67C2×D414yes—
667C22×Dic3—22no—
668C22×Dic3—22no—
669C22×Dic3—22no—
670C22×Dic3—22no—
671C22×Dic3—22no—
672C22×Dic3—22no—
673C22×Dic3—22no—
674C22×Dic3—22no—
675C22×Dic3—22no—
676C22×Dic3—41no—
677C22×Dic3—41no—
678C22×Dic3—41no—
679C22×Dic3C2411yescharacteristic
680C22×Dic3C2411yescharacteristic
681C22×Dic3C2411yescharacteristic
682C22×Dic3C2411yescharacteristic
683C22×Dic3C2411yescharacteristic
684C22×Dic3C2411yescharacteristic
685C22×Dic3C2411yescharacteristic
686C22×Dic3C2411yescharacteristic
687C22×Dic3C2411yescharacteristic
688C22×Dic3C2411yescharacteristic
689C22×Dic3C2411yescharacteristic
690C22×Dic3C2411yescharacteristic
691C22×Dic3C2411yescharacteristic
692#237—416no—
693#235—416no—
694#235—416no—
695#235—416no—
696C2×D12—22no—
697C2×D12—22no—
698C2×D12—22no—
699C2×D12—22no—
700C2×D12—22no—
701C2×D12—22no—
702C2×D12—22no—
703C2×D12—41no—
704C2×D12C2×D414yes—
705C2×C4×D3—22no—
706C2×C4×D3—22no—
707C2×C4×D3—22no—
708C2×C4×D3—22no—
709C2×C4×D3—22no—
710C2×C4×D3—22no—
711C2×C4×D3—22no—
712C2×C4×D3—22no—
713C2×C4×D3—22no—
714C2×C4×D3—22no—
715C2×C4×D3—22no—
716C2×C4×D3—22no—
717C2×C4×D3—22no—
718C2×C4×D3—22no—
719C2×C4×D3—22no—
720C2×C4×D3—22no—
721C2×C4×D3—22no—
722C2×C4×D3—22no—
723C2×C4×D3—22no—
724C2×C4×D3—22no—
725C2×C4×D3—22no—
726C2×C4×D3—22no—
727C2×C4×D3—22no—
728C2×C4×D3—22no—
729C2×C4×D3—41no—
730C2×C4×D3—41no—
731C2×C4×D3—41no—
732C2×C4×D3—41no—
733C2×C4×D3—41no—
734C2×C4×D3—41no—
735C2×C4×D3—41no—
736C2×C4×D3C2×D414yes—
737C2×C4×D3C2×D414yes—
738C2×Dic6—22no—
739C2×Dic6—22no—
740C2×Dic6—22no—
741C2×Dic6—22no—
742C2×Dic6—22no—
743C2×Dic6—22no—
744C2×Dic6—22no—
745C2×Dic6—22no—
746C2×Dic6—41no—
747C2×Dic6—41no—
748C2×Dic6—41no—
749C2×Dic6—41no—
750C3×C4⋊C4—22no—
751C3×C4⋊C4—22no—
752C3×C4⋊C4—22no—
753C3×C4⋊C4—22no—
754C3×C4⋊C4—22no—
755C3×C4⋊C4—22no—
756C3×C4⋊C4—22no—
757C3×C4⋊C4—22no—
758C3×C4⋊C4—41no—
759C3×C22⋊C4—22no—
760C3×C22⋊C4—22no—
761C3×C22⋊C4—22no—
762C3×C22⋊C4—22no—
763C3×C22⋊C4—22no—
764C3×C22⋊C4—22no—
765C3×C22⋊C4—22no—
766C3×C22⋊C4—22no—
767C3×C22⋊C4—41no—
768C3×C22⋊C4—41no—
769C3×C22⋊C4C2×D414yes—
770C3×C22⋊C4C2×D414yes—
771C3×C42—22no—
772C3×C42—22no—
773#217—22no—
774#217—22no—
775#217—22no—
776#217—22no—
777#217—22no—
778#217—22no—
779#217—22no—
780#217—41no—
781#217—41no—
782#217—41no—
783#217C2×D414yes—
784(C2×D3)⋊C4—22no—
785(C2×D3)⋊C4—22no—
786(C2×D3)⋊C4—22no—
787(C2×D3)⋊C4—22no—
788(C2×D3)⋊C4—22no—
789(C2×D3)⋊C4—22no—
790(C2×D3)⋊C4—22no—
791(C2×D3)⋊C4—22no—
792(C2×D3)⋊C4—22no—
793(C2×D3)⋊C4—22no—
794(C2×D3)⋊C4—22no—
795(C2×D3)⋊C4—22no—
796(C2×D3)⋊C4—22no—
797(C2×D3)⋊C4—41no—
798(C2×D3)⋊C4—41no—
799(C2×D3)⋊C4—41no—
800(C2×D3)⋊C4—41no—
801(C2×D3)⋊C4C2×D414yes—
802(C2×D3)⋊C4C2×D414yes—
803C4⋊Dic3—22no—
804C4⋊Dic3—22no—
805C4⋊Dic3—22no—
806C4⋊Dic3—22no—
807C4⋊Dic3—22no—
808C4⋊Dic3—22no—
809C4⋊Dic3—22no—
810C4⋊Dic3—22no—
811C4⋊Dic3—22no—
812C4⋊Dic3—41no—
813C4⋊Dic3C2×D414yes—
814Dic3⋊C4—22no—
815Dic3⋊C4—22no—
816Dic3⋊C4—22no—
817Dic3⋊C4—22no—
818Dic3⋊C4—22no—
819Dic3⋊C4—22no—
820Dic3⋊C4—22no—
821Dic3⋊C4—22no—
822Dic3⋊C4—22no—
823Dic3⋊C4—22no—
824Dic3⋊C4—22no—
825Dic3⋊C4—22no—
826Dic3⋊C4—22no—
827Dic3⋊C4—22no—
828Dic3⋊C4—22no—
829Dic3⋊C4—41no—
830Dic3⋊C4—41no—
831Dic3⋊C4—41no—
832Dic3⋊C4C2×D414yes—
833Dic3⋊C4C2×D414yes—
834Dic3⋊C4#4114yescomplemented
835C4×Dic3—22no—
836C4×Dic3—22no—
837C4×Dic3—22no—
838C4×Dic3—22no—
839C4×Dic3—22no—
840C4×Dic3—22no—
841C4×Dic3—22no—
842C2×#41—64no—
843C2×#41—64no—
844C2×#41—64no—
845C2×#41—64no—
846C2×#41—64no—
847C2×#41—64no—
848C2×#41—64no—
849C2×#41—64no—
850C2×#41—122no—
851C2×#41—122no—
852C2×#41—122no—
853C2×#41—122no—
854C22×Q8—31no—
855C22×Q8—31no—
856C22×Q8—31no—
857C22×Q8—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×D4C22×D311yescharacteristic
871C22×D4C22×D311yescharacteristic
872C22×D4C22×D311yescharacteristic
873C23×C4—31no—
874C23×C4—31no—
875C23×C4—31no—
876C23×C4—31no—
877C23×C4—31no—
878C23×C4—31no—
879C23×C4—31no—
880C23×C4—31no—
881C23×C4—31no—
882C23×C4—31no—
883C23×C4—31no—
884C23×C4—31no—
885C23×C4—31no—
886C23×C4—31no—
887C23×C4—31no—
888C23×C4C22×D311yescharacteristic
889C23×C4C22×D311yescharacteristic
890C23×C4C22×D311yescharacteristic
891C4⋊Q8—64no—
892C4⋊Q8—64no—
893C4⋊Q8—64no—
894C4⋊Q8—64no—
895#127—64no—
896#124—64no—
897#124—64no—
898#123—24no—
899#123—24no—
900#123—38no—
901#123—64no—
902#123—64no—
903#123—64no—
904#123—64no—
905#123—64no—
906#123—64no—
907#123—64no—
908#123—64no—
909#123—122no—
910#123—122no—
911C22⋊Q8—64no—
912C22⋊Q8—64no—
913C22⋊Q8—64no—
914C22⋊Q8—64no—
915C22⋊Q8—64no—
916C22⋊Q8—64no—
917#121—38no—
918#121—64no—
919#121—64no—
920#121—64no—
921#121—64no—
922#121—64no—
923#121—64no—
924#121—64no—
925#121—64no—
926#121—64no—
927C4×D4—24no—
928C4×D4—24no—
929C4×D4—64no—
930C4×D4—64no—
931C4×D4—64no—
932C4×D4—64no—
933C4×D4—64no—
934C4×D4—64no—
935C4×D4—64no—
936C4×D4—64no—
937C4×D4—64no—
938C2×C4⋊C4—31no—
939C2×C4⋊C4—31no—
940C2×C4⋊C4—31no—
941C2×C4⋊C4—31no—
942C2×C4⋊C4—31no—
943C2×C4⋊C4—31no—
944C2×C4⋊C4—31no—
945C2×C4⋊C4—31no—
946C2×C4⋊C4—31no—
947C2×C4⋊C4—31no—
948C2×C4⋊C4—31no—
949C2×C4⋊C4—31no—
950C2×C4⋊C4—31no—
951C2×C4⋊C4—31no—
952C2×C4⋊C4—31no—
953C2×C4⋊C4—31no—
954C2×C4⋊C4—31no—
955C2×C4⋊C4—31no—
956C2×C4⋊C4—31no—
957C2×C4⋊C4—31no—
958C2×C4⋊C4—31no—
959C2×C4⋊C4—31no—
960C2×C4⋊C4—31no—
961C2×C4⋊C4—31no—
962C2×C4⋊C4—31no—
963C2×C4⋊C4—31no—
964C2×C4⋊C4—31no—
965C2×C4⋊C4—31no—
966C2×C4⋊C4—31no—
967C2×C4⋊C4—31no—
968C2×C4⋊C4—31no—
969C2×C4⋊C4—31no—
970C2×C4⋊C4—64no—
971C2×C4⋊C4—64no—
972C2×C4⋊C4—64no—
973C2×C4⋊C4—64no—
974C2×C4⋊C4—64no—
975C2×C4⋊C4—64no—
976C2×C4⋊C4—64no—
977C2×C4⋊C4C22×D311yescharacteristic
978C2×C4⋊C4C22×D311yescharacteristic
979C2×C4⋊C4C22×D311yescharacteristic
980C2×C4⋊C4C22×D311yescharacteristic
981C2×C4⋊C4C22×D311yescharacteristic
982C2×C4⋊C4C22×D311yescharacteristic
983C2×C4⋊C4C22×D311yescharacteristic
984C2×C4⋊C4C22×D311yescharacteristic
985C2×C4⋊C4C22×D311yescharacteristic
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—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⋊C4C22×D311yescharacteristic
1017C2×C22⋊C4C22×D311yescharacteristic
1018C2×C22⋊C4C22×D311yescharacteristic
1019C2×C22⋊C4C22×D311yescharacteristic
1020C2×C22⋊C4C22×D311yescharacteristic
1021C2×C22⋊C4C22×D311yescharacteristic
1022C2×C22⋊C4C22×D311yescharacteristic
1023C2×C22⋊C4C22×D311yescharacteristic
1024C2×C22⋊C4C22×D311yescharacteristic
1025C2×C22⋊C4C22×D311yescharacteristic
1026C2×C22⋊C4C22×D311yescharacteristic
1027C2×C22⋊C4C22×D311yescharacteristic
1028C2×C42—31no—
1029C2×C42—31no—
1030C2×C42—31no—
1031C2×C42—31no—
1032C2×C42—31no—
1033C2×C42—31no—
1034C2×C42—31no—
1035C2×C42—64no—
1036C2×C42C22×D311yescharacteristic
1037C2×C42C22×D311yescharacteristic
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#95—31no—
1047#95—31no—
1048#95—31no—
1049#95—31no—
1050#95—31no—
1051#95—31no—
1052#95—31no—
1053#95—31no—
1054#95—31no—
1055#95—31no—
1056#95—31no—
1057#95—31no—
1058#95C22×D311yescharacteristic
1059#95C22×D311yescharacteristic
1060#95C22×D311yescharacteristic
1061#95C22×D311yescharacteristic
1062#95C22×D311yescharacteristic
1063#95C22×D311yescharacteristic
1064C23×C3—21no—
1065C23×C3—21no—
1066C23×C3—21no—
1067C23×C3—21no—
1068C23×C3—21no—
1069C23×C3—21no—
1070C23×C3—21no—
1071C23×C3—21no—
1072C23×C3—21no—
1073C23×C3—21no—
1074C23×C3—21no—
1075C23×C3—21no—
1076C23×C3—21no—
1077C23×C3—21no—
1078C23×C3—21no—
1079C23×C3—21no—
1080C23×C3—21no—
1081C23×C3—21no—
1082C23×C3—21no—
1083C23×C3C22×D412yes—
1084C23×C3C22×D412yes—
1085C23×C3C2511yescharacteristic
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×D3C22×D412yes—
1104C22×D3C22×D412yes—
1105C22×D3C22×D412yes—
1106C22×D3H(5,𝔽2)12yes—
1107C3×D4—44no—
1108C3×D4—44no—
1109C3×D4—44no—
1110C2×C3×C4—21no—
1111C2×C3×C4—21no—
1112C2×C3×C4—21no—
1113C2×C3×C4—21no—
1114C2×C3×C4—21no—
1115C2×C3×C4—21no—
1116C2×C3×C4—21no—
1117C2×C3×C4—21no—
1118C2×C3×C4—21no—
1119C2×C3×C4—21no—
1120C2×C3×C4—21no—
1121C2×C3×C4—21no—
1122C2×C3×C4—21no—
1123C2×C3×C4—21no—
1124C2×C3×C4—21no—
1125C2×C3×C4—21no—
1126C2×C3×C4—21no—
1127C2×C3×C4—21no—
1128C2×C3×C4—21no—
1129C2×C3×C4—21no—
1130C2×C3×C4—21no—
1131C2×C3×C4—21no—
1132C2×C3×C4—21no—
1133C2×C3×C4—21no—
1134C2×C3×C4—21no—
1135C2×C3×C4—21no—
1136C2×C3×C4—21no—
1137C2×C3×C4—21no—
1138C2×C3×C4—21no—
1139C2×C3×C4—21no—
1140C2×C3×C4—44no—
1141C2×C3×C4—44no—
1142C2×C3×C4—44no—
1143C2×C3×C4C22×D412yes—
1144C2×C3×C4C22×D412yes—
1145C2×C3×C4C22×D412yes—
1146C2×C3×C4C22×D412yes—
1147C2×C3×C4C2×#4112yes—
1148C2×C3×C42−1+412yes—
1149#67—28no—
1150#67—28no—
1151#67—28no—
1152#67—44no—
1153#67—44no—
1154#67—44no—
1155#67—44no—
1156#67—44no—
1157#67—44no—
1158C2×Dic3—21no—
1159C2×Dic3—21no—
1160C2×Dic3—21no—
1161C2×Dic3—21no—
1162C2×Dic3—21no—
1163C2×Dic3—21no—
1164C2×Dic3—21no—
1165C2×Dic3—21no—
1166C2×Dic3—21no—
1167C2×Dic3—21no—
1168C2×Dic3—21no—
1169C2×Dic3—21no—
1170C2×Dic3—21no—
1171C2×Dic3—21no—
1172C2×Dic3—21no—
1173C2×Dic3—21no—
1174C2×Dic3—21no—
1175C2×Dic3—21no—
1176C2×Dic3—21no—
1177C2×Dic3—21no—
1178C2×Dic3—21no—
1179C2×Dic3—21no—
1180C2×Dic3—21no—
1181C2×Dic3—21no—
1182C2×Dic3—21no—
1183C2×Dic3—21no—
1184C2×Dic3—21no—
1185C2×Dic3—21no—
1186C2×Dic3—21no—
1187C2×Dic3—21no—
1188C2×Dic3—21no—
1189C2×Dic3—44no—
1190C2×Dic3—44no—
1191C2×Dic3—44no—
1192C2×Dic3—44no—
1193C2×Dic3C22×D412yes—
1194C2×Dic3C22×D412yes—
1195C2×Dic3C22×D412yes—
1196C2×Dic3C22×D412yes—
1197C2×Dic3C22×D412yes—
1198C2×Dic3C2×#4112yes—
1199C2×Dic3C2×#4112yes—
1200C2×Dic32−1+412yes—
1201D12—28no—
1202D12—44no—
1203D12—44no—
1204C4×D3—28no—
1205C4×D3—28no—
1206C4×D3—44no—
1207C4×D3—44no—
1208C4×D3—44no—
1209C4×D3—44no—
1210C4×D3—44no—
1211C4×D3—44no—
1212C4×D3—44no—
1213C4×D3—44no—
1214C4×D3—44no—
1215Dic6—44no—
1216Dic6—44no—
1217Dic6—44no—
1218Dic6—44no—
1219C24—31no—
1220C24—31no—
1221C24—31no—
1222C24C23×D311yescharacteristic
1223C24C23×D311yescharacteristic
1224C24C23×D311yescharacteristic
1225#41—1216no—
1226#41—1216no—
1227#41—1216no—
1228#41—1216no—
1229C2×Q8—62no—
1230C2×Q8—62no—
1231C2×Q8—62no—
1232C2×Q8—62no—
1233C2×Q8—62no—
1234C2×Q8—62no—
1235C2×Q8—62no—
1236C2×Q8—62no—
1237C2×Q8—121no—
1238C2×Q8—121no—
1239C2×Q8—121no—
1240C2×Q8—121no—
1241C2×D4—22no—
1242C2×D4—22no—
1243C2×D4—22no—
1244C2×D4—22no—
1245C2×D4—22no—
1246C2×D4—22no—
1247C2×D4—34no—
1248C2×D4—34no—
1249C2×D4—34no—
1250C2×D4—34no—
1251C2×D4—41no—
1252C2×D4—41no—
1253C2×D4—41no—
1254C2×D4—62no—
1255C2×D4—62no—
1256C2×D4—62no—
1257C2×D4—62no—
1258C2×D4—62no—
1259C2×D4—62no—
1260C2×D4—62no—
1261C2×D4—62no—
1262C2×D4—62no—
1263C2×D4—62no—
1264C2×D4—62no—
1265C2×D4—62no—
1266C2×D4—62no—
1267C2×D4—62no—
1268C2×D4—62no—
1269C2×D4—62no—
1270C2×D4—62no—
1271C2×D4—62no—
1272C2×D4—62no—
1273C2×D4—62no—
1274C2×D4—62no—
1275C2×D4—62no—
1276C2×D4—62no—
1277C2×D4—62no—
1278C2×D4—62no—
1279C2×D4—62no—
1280C2×D4—62no—
1281C2×D4—121no—
1282C2×D4—121no—
1283C2×D4—121no—
1284C2×D4—121no—
1285C2×D4—121no—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—31no—
1293C22×C4—31no—
1294C22×C4—31no—
1295C22×C4—31no—
1296C22×C4—31no—
1297C22×C4—31no—
1298C22×C4—34no—
1299C22×C4—34no—
1300C22×C4—31no—
1301C22×C4—31no—
1302C22×C4—31no—
1303C22×C4—31no—
1304C22×C4—31no—
1305C22×C4—31no—
1306C22×C4—31no—
1307C22×C4—41no—
1308C22×C4—41no—
1309C22×C4—41no—
1310C22×C4—62no—
1311C22×C4—62no—
1312C22×C4—62no—
1313C22×C4—62no—
1314C22×C4—62no—
1315C22×C4—62no—
1316C22×C4—62no—
1317C22×C4—62no—
1318C22×C4—62no—
1319C22×C4—62no—
1320C22×C4—62no—
1321C22×C4—62no—
1322C22×C4—62no—
1323C22×C4—62no—
1324C22×C4—62no—
1325C22×C4—62no—
1326C22×C4—62no—
1327C22×C4—62no—
1328C22×C4—62no—
1329C22×C4—62no—
1330C22×C4—62no—
1331C22×C4—62no—
1332C22×C4—62no—
1333C22×C4—62no—
1334C22×C4—62no—
1335C22×C4—62no—
1336C22×C4—62no—
1337C22×C4—62no—
1338C22×C4—62no—
1339C22×C4—62no—
1340C22×C4—62no—
1341C22×C4—62no—
1342C22×C4—62no—
1343C22×C4—121no—
1344C22×C4—121no—
1345C22×C4—121no—
1346C22×C4—121no—
1347C22×C4—121no—
1348C22×C4—121no—
1349C22×C4—121no—
1350C22×C4—121no—
1351C22×C4—121no—
1352C22×C4—121no—
1353C22×C4C23×D311yescharacteristic
1354C22×C4C23×D311yescharacteristic
1355C22×C4C23×D311yescharacteristic
1356C22×C4C23×D311yescharacteristic
1357C22×C4C23×D311yescharacteristic
1358C22×C4C23×D311yescharacteristic
1359C22×C4C23×D311yescharacteristic
1360C22×C4C23×D311yescharacteristic
1361C22×C4C23×D311yescharacteristic
1362C22×C4C23×D311yescharacteristic
1363C22×C4C23×D311yescharacteristic
1364C22×C4C23×D311yescharacteristic
1365C4⋊C4—22no—
1366C4⋊C4—22no—
1367C4⋊C4—22no—
1368C4⋊C4—22no—
1369C4⋊C4—22no—
1370C4⋊C4—22no—
1371C4⋊C4—22no—
1372C4⋊C4—22no—
1373C4⋊C4—34no—
1374C4⋊C4—34no—
1375C4⋊C4—34no—
1376C4⋊C4—34no—
1377C4⋊C4—41no—
1378C4⋊C4—62no—
1379C4⋊C4—62no—
1380C4⋊C4—62no—
1381C4⋊C4—62no—
1382C4⋊C4—62no—
1383C4⋊C4—62no—
1384C4⋊C4—62no—
1385C4⋊C4—62no—
1386C4⋊C4—62no—
1387C4⋊C4—62no—
1388C4⋊C4—62no—
1389C4⋊C4—62no—
1390C4⋊C4—62no—
1391C4⋊C4—62no—
1392C4⋊C4—62no—
1393C4⋊C4—62no—
1394C4⋊C4—62no—
1395C4⋊C4—62no—
1396C4⋊C4—62no—
1397C4⋊C4—62no—
1398C4⋊C4—62no—
1399C4⋊C4—62no—
1400C4⋊C4—62no—
1401C4⋊C4—62no—
1402C4⋊C4—121no—
1403C4⋊C4—121no—
1404C4⋊C4—121no—
1405C4⋊C4—121no—
1406C22⋊C4—22no—
1407C22⋊C4—22no—
1408C22⋊C4—22no—
1409C22⋊C4—22no—
1410C22⋊C4—22no—
1411C22⋊C4—22no—
1412C22⋊C4—22no—
1413C22⋊C4—22no—
1414C22⋊C4—34no—
1415C22⋊C4—34no—
1416C22⋊C4—34no—
1417C22⋊C4—41no—
1418C22⋊C4—41no—
1419C22⋊C4—62no—
1420C22⋊C4—62no—
1421C22⋊C4—62no—
1422C22⋊C4—62no—
1423C22⋊C4—62no—
1424C22⋊C4—62no—
1425C22⋊C4—62no—
1426C22⋊C4—62no—
1427C22⋊C4—62no—
1428C22⋊C4—62no—
1429C22⋊C4—62no—
1430C22⋊C4—62no—
1431C22⋊C4—62no—
1432C22⋊C4—62no—
1433C22⋊C4—62no—
1434C22⋊C4—62no—
1435C22⋊C4—62no—
1436C22⋊C4—62no—
1437C22⋊C4—62no—
1438C22⋊C4—62no—
1439C22⋊C4—121no—
1440C22⋊C4—121no—
1441C22⋊C4—121no—
1442C22⋊C4—121no—
1443C22⋊C4—121no—
1444C22⋊C4—121no—
1445C22⋊C4—121no—
1446C22⋊C4D3×D414yes—
1447C22⋊C4D3×D414yes—
1448C42—22no—
1449C42—22no—
1450C42—62no—
1451C42—62no—
1452C42—62no—
1453C42—62no—
1454C42—62no—
1455C42—62no—
1456C42—62no—
1457C22×C3—22no—
1458C22×C3—22no—
1459C22×C3—22no—
1460C22×C3—22no—
1461C22×C3—22no—
1462C22×C3—22no—
1463C22×C3—41no—
1464C22×C3—41no—
1465C22×C3—41no—
1466C22×C3—41no—
1467C22×C3—41no—
1468C22×C3—41no—
1469C22×C3—41no—
1470C22×C3—41no—
1471C22×C3—41no—
1472C22×C3—41no—
1473C22×C3—41no—
1474C22×C3—41no—
1475C22×C3—41no—
1476C22×C3—41no—
1477C22×C3—41no—
1478C22×C3C23×D411yescharacteristic
1479C22×C3C23×D411yescharacteristic
1480C22×C3C22×#4111yescharacteristic
1481C22×C3C2×H(5,𝔽2)11yescharacteristic
1482C22×C3C2×2−1+411yescharacteristic
1483C22×C3C2×2−1+411yescharacteristic
1484C22×C3#58511yescharacteristic
1485C2×D3—22no—
1486C2×D3—22no—
1487C2×D3—22no—
1488C2×D3—22no—
1489C2×D3—22no—
1490C2×D3—22no—
1491C2×D3—22no—
1492C2×D3—22no—
1493C2×D3—22no—
1494C2×D3—41no—
1495C2×D3—41no—
1496C2×D3—41no—
1497C2×D3—41no—
1498C2×D3—41no—
1499C2×D3—41no—
1500C2×D3—41no—
1501C2×D3—41no—
1502C2×D3—41no—
1503C2×D3—41no—
1504C2×D3—41no—
1505C2×D3D4214yes—
1506C3×C4—22no—
1507C3×C4—22no—
1508C3×C4—22no—
1509C3×C4—22no—
1510C3×C4—22no—
1511C3×C4—22no—
1512C3×C4—41no—
1513C3×C4—41no—
1514C3×C4—41no—
1515C3×C4—41no—
1516C3×C4—41no—
1517C3×C4—41no—
1518Dic3—22no—
1519Dic3—22no—
1520Dic3—22no—
1521Dic3—22no—
1522Dic3—22no—
1523Dic3—41no—
1524Dic3—41no—
1525Dic3—41no—
1526Dic3—41no—
1527Dic3—41no—
1528Dic3—41no—
1529Dic3—41no—
1530Dic3#54714yescomplemented
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—32no—
1551C23—32no—
1552C23—32no—
1553C23—32no—
1554C23—61no—
1555C23—61no—
1556C23—61no—
1557C23—61no—
1558C23—61no—
1559C23—61no—
1560C23—61no—
1561C23—61no—
1562C23—61no—
1563C23—61no—
1564C23—61no—
1565C23—61no—
1566C23—61no—
1567C23—61no—
1568C23—61no—
1569C23—61no—
1570C23—61no—
1571C23C2×D3×D412yes—
1572C23C2×D3×D412yes—
1573C23C24×D311yescharacteristic
1574Q8—124no—
1575Q8—124no—
1576Q8—124no—
1577Q8—124no—
1578D4—44no—
1579D4—44no—
1580D4—44no—
1581D4—68no—
1582D4—68no—
1583D4—68no—
1584D4—68no—
1585D4—124no—
1586D4—124no—
1587D4—124no—
1588D4—124no—
1589D4—124no—
1590D4—124no—
1591D4—124no—
1592D4—124no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—32no—
1624C2×C4—32no—
1625C2×C4—32no—
1626C2×C4—32no—
1627C2×C4—32no—
1628C2×C4—32no—
1629C2×C4—32no—
1630C2×C4—32no—
1631C2×C4—44no—
1632C2×C4—44no—
1633C2×C4—44no—
1634C2×C4—68no—
1635C2×C4—68no—
1636C2×C4—61no—
1637C2×C4—61no—
1638C2×C4—61no—
1639C2×C4—61no—
1640C2×C4—61no—
1641C2×C4—61no—
1642C2×C4—61no—
1643C2×C4—61no—
1644C2×C4—61no—
1645C2×C4—61no—
1646C2×C4—61no—
1647C2×C4—61no—
1648C2×C4—61no—
1649C2×C4—61no—
1650C2×C4—61no—
1651C2×C4—61no—
1652C2×C4—61no—
1653C2×C4—61no—
1654C2×C4—61no—
1655C2×C4—61no—
1656C2×C4—61no—
1657C2×C4—61no—
1658C2×C4—61no—
1659C2×C4—61no—
1660C2×C4—61no—
1661C2×C4—61no—
1662C2×C4—61no—
1663C2×C4—61no—
1664C2×C4—61no—
1665C2×C4—61no—
1666C2×C4—61no—
1667C2×C4—124no—
1668C2×C4—124no—
1669C2×C4—124no—
1670C2×C4—124no—
1671C2×C4—124no—
1672C2×C4—124no—
1673C2×C4—124no—
1674C2×C4—124no—
1675C2×C4—124no—
1676C2×C4—124no—
1677C2×C4—124no—
1678C2×C4—124no—
1679C2×C4—124no—
1680C2×C4C2×D3×D412yes—
1681C2×C4C2×D3×D412yes—
1682C2×C4C2×D3×D412yes—
1683C2×C4C2×D3×D412yes—
1684C2×C4D3×#4112yes—
1685C2×C4#101012yes—
1686C2×C3—42no—
1687C2×C3—42no—
1688C2×C3—81no—
1689C2×C3C2×D4211yescharacteristic
1690C2×C3C2×#54711yescharacteristic
1691C2×C3D4×#4111yescharacteristic
1692C2×C3#348911yescharacteristic
1693C2×C3#349911yescharacteristic
1694C2×C3#352211yescharacteristic
1695C2×C3#355911yescharacteristic
1696D3—24no—
1697D3—42no—
1698D3—81no—
1699C22—22no—
1700C22—22no—
1701C22—22no—
1702C22—22no—
1703C22—22no—
1704C22—22no—
1705C22—34no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—62no—
1722C22—62no—
1723C22—62no—
1724C22—62no—
1725C22—62no—
1726C22—62no—
1727C22—62no—
1728C22—62no—
1729C22—62no—
1730C22—121no—
1731C22—121no—
1732C22—121no—
1733C22—121no—
1734C22—121no—
1735C22—121no—
1736C22—121no—
1737C22—121no—
1738C22—121no—
1739C22—121no—
1740C22—121no—
1741C22C22×D3×D411yescharacteristic
1742C22C22×D3×D411yescharacteristic
1743C22C2×D3×#4111yescharacteristic
1744C22C2×#101011yescharacteristic
1745C22#596411yescharacteristic
1746C22D3×H(5,𝔽2)11yescharacteristic
1747C22D3×2−1+411yescharacteristic
1748C4—22no—
1749C4—22no—
1750C4—22no—
1751C4—22no—
1752C4—22no—
1753C4—22no—
1754C4—34no—
1755C4—41no—
1756C4—41no—
1757C4—41no—
1758C4—41no—
1759C4—41no—
1760C4—41no—
1761C4—62no—
1762C4—62no—
1763C4—62no—
1764C4—62no—
1765C4—62no—
1766C4—121no—
1767C4—121no—
1768C4—121no—
1769C4—121no—
1770C4—121no—
1771C4—121no—
1772C4—121no—
1773C3#5911211yescharacteristic, complemented, Sylow
1774C2—42no—
1775C2—42no—
1776C2—64no—
1777C2—81no—
1778C2—122no—
1779C2—241no—
1780C2#8603711yescharacteristic
1781C2#8604211yescharacteristic
1782C2#8646411yescharacteristic
1783C2D3×D4211yescharacteristic
1784C2#8667911yescharacteristic
1785C2D3×#54711yescharacteristic
1786C2#8705511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2455C2
hypercenter#2455D3
hypocenterC3#59112
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2455

Complements

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

NH ≅ G/Ntype
1. C2×#5655C2semidirect
2. C2×#5655C2semidirect
3. C2×#5551C2semidirect
4. C2×#5548C2semidirect
5. C3×#2455C2semidirect
6. #82869C2semidirect
7. #82845C2semidirect
8. #82360C2semidirect
9. #82340C2semidirect
10. #78115C2semidirect
11. #78030C2semidirect
12. #77115C2semidirect
13. #77001C2semidirect
14. #76906C2semidirect
15. #76898C2semidirect
16. #76757C2semidirect
17. #76671C2semidirect
18. #76225C2semidirect
19. #76217C2semidirect
20. D3×#389C2semidirect
21. #76064C2semidirect
22. #75850C2semidirect
23. #75666C2semidirect
24. #75477C2semidirect
25. #75453C2semidirect
26. #74606C2semidirect
27. #74600C2semidirect
28. #74600C2semidirect
29. #74425C2semidirect
30. #74416C2semidirect
31. #74393C2semidirect
203. #2455D3semidirect
401. #884D4semidirect
407. #883D4semidirect
834. Dic3⋊C4#41semidirect
1530. Dic3#547semidirect
1773. C3#59112semidirect

Maximal subgroups

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

subgroupindex
C2×#56552
C2×#55512
C2×#55482
C3×#24552
#828692
#828452
#823602
#823402
#781152
#780302
#771152
#770012
#769062
#768982
#767572
#766712
#762252
#762172
D3×#3892
#760642
#758502
#756662
#754772
#754532
#746062
#746002
#744252
#744162
#743932
#591123