Finite Group Databasebeta

← #11141382

Subgroups — #11141382

Order 768.

2752 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5619C211yesmaximal, characteristic, complemented
2C2×#5591C211yesmaximal, characteristic, complemented
3C3×#2668C211yesmaximal, characteristic, complemented
4#82713C211yesmaximal, characteristic, complemented
5#82680C211yesmaximal, characteristic, complemented
6#82648C211yesmaximal, characteristic, complemented
7#82594C211yesmaximal, characteristic, complemented
8#82588C211yesmaximal, characteristic, complemented
9#82586C211yesmaximal, characteristic, complemented
10#78064C211yesmaximal, characteristic, complemented
11#78019C211yesmaximal, characteristic, complemented
12#77669C211yesmaximal, characteristic, complemented
13#77575C211yesmaximal, characteristic, complemented
14#77565C211yesmaximal, characteristic, complemented
15#77542C211yesmaximal, characteristic, complemented
16#77159C211yesmaximal, characteristic, complemented
17#77113C211yesmaximal, characteristic, complemented
18#77086C211yesmaximal, characteristic, complemented
19#76917C211yesmaximal, characteristic, complemented
20#76697C211yesmaximal, characteristic, complemented
21#76671C211yesmaximal, characteristic, complemented
22#74915C211yesmaximal, characteristic, complemented
23#74912C211yesmaximal, characteristic, complemented
24#74792C211yesmaximal, characteristic, complemented
25#74780C211yesmaximal, characteristic, complemented
26#74775C211yesmaximal, characteristic, complemented
27#74719C211yesmaximal, characteristic, complemented
28#74699C211yesmaximal, characteristic, complemented
29#74674C211yesmaximal, characteristic, complemented
30#73855C211yesmaximal, characteristic, complemented
31#73826C211yesmaximal, characteristic, complemented
32#41955—31nomaximal, Sylow
33C23×#67C2211yescharacteristic
34C22×#237C2211yescharacteristic
35C2×C3×#121C2211yescharacteristic
36C2×C3×#121C2211yescharacteristic, complemented
37C2×C3×#120C2211yescharacteristic
38C2×C3×#120C2211yescharacteristic
39C2×#953C2211yescharacteristic
40C2×#953C2211yescharacteristic
41C22×#217C2211yescharacteristic
42C2×#940C2211yescharacteristic
43C2×#940C2211yescharacteristic
44C2×#940C2211yescharacteristic
45C2×#939C2211yescharacteristic
46C2×#939C2211yescharacteristic
47C2×#939C2211yescharacteristic
48C2×#939C2211yescharacteristic, complemented
49C2×#939C2211yescharacteristic, complemented
50C2×#939C2211yescharacteristic, complemented
51C2×#939C2211yescharacteristic, complemented
52C2×#939C2211yescharacteristic, complemented
53C2×#938C2211yescharacteristic
54C2×#938C2211yescharacteristic
55C2×#938C2211yescharacteristic, complemented
56C2×#937C2211yescharacteristic
57C2×#937C2211yescharacteristic
58C2×D4×Dic3C2211yescharacteristic
59C2×#930C2211yescharacteristic, complemented
60C2×#930C2211yescharacteristic, complemented
61C2×#930C2211yescharacteristic, complemented
62C2×#926C2211yescharacteristic, complemented
63#5619—28no—
64#5591—28no—
65C2×#893C2211yescharacteristic, complemented
66C2×#893C2211yescharacteristic, complemented
67C2×#893C2211yescharacteristic, complemented
68C2×#890C2211yescharacteristic, complemented
69C2×#886C2211yescharacteristic
70C2×#886C2211yescharacteristic
71C2×#886C2211yescharacteristic, complemented
72C2×#885C2211yescharacteristic
73C2×#884C2211yescharacteristic, complemented
74C2×#883C2211yescharacteristic
75C2×#883C2211yescharacteristic
76C2×#883C2211yescharacteristic, complemented
77C2×#882C2211yescharacteristic
78C2×#882C2211yescharacteristic
79C2×#67⋊C4C2211yescharacteristic
80C2×#67⋊C4C2211yescharacteristic, complemented
81C2×#67⋊C4C2211yescharacteristic, complemented
82C2×D3×C22⋊C4C2211yescharacteristic
83C2×#878C2211yescharacteristic
84C3×#399C2211yescharacteristic, complemented
85C3×#397C2211yescharacteristic
86C3×#397C2211yescharacteristic, complemented
87C3×#394C2211yescharacteristic
88C3×#394C2211yescharacteristic, complemented
89C3×#392C2211yescharacteristic, complemented
90C3×#386C2211yescharacteristic
91C3×#386C2211yescharacteristic, complemented
92C3×#386C2211yescharacteristic, complemented
93C3×#386C2211yescharacteristic, complemented
94C3×#379C2211yescharacteristic
95#5223C2211yescharacteristic
96#5223C2211yescharacteristic
97#5223C2211yescharacteristic, complemented
98#5223C2211yescharacteristic, complemented
99#5223C2211yescharacteristic, complemented
100#5223C2211yescharacteristic, complemented
101#5222C2211yescharacteristic
102#5221C2211yescharacteristic, complemented
103#5220C2211yescharacteristic
104#5220C2211yescharacteristic, complemented
105#5213C2211yescharacteristic, complemented
106#5213C2211yescharacteristic, complemented
107C4×#217C2211yescharacteristic, complemented
108C2×C3⋊#95C2211yescharacteristic, complemented
109#4994C2211yescharacteristic, complemented
110#4993C2211yescharacteristic, complemented
111#4993C2211yescharacteristic, complemented
112#4993C2211yescharacteristic, complemented
113#4993C2211yescharacteristic, complemented
114#4992C2211yescharacteristic, complemented
115#4984C2211yescharacteristic, complemented
116#4982C2211yescharacteristic, complemented
117#4961C2211yescharacteristic
118#4961C2211yescharacteristic
119#4961C2211yescharacteristic
120#4961C2211yescharacteristic
121#4961C2211yescharacteristic
122#4961C2211yescharacteristic
123#4961C2211yescharacteristic, complemented
124#4960C2211yescharacteristic
125#4960C2211yescharacteristic
126#4960C2211yescharacteristic
127#4960C2211yescharacteristic
128#4960C2211yescharacteristic
129#4960C2211yescharacteristic
130#4960C2211yescharacteristic, complemented
131#4960C2211yescharacteristic, complemented
132#4960C2211yescharacteristic, complemented
133#4960C2211yescharacteristic, complemented
134#4960C2211yescharacteristic, complemented
135#4959C2211yescharacteristic
136#4959C2211yescharacteristic
137#4959C2211yescharacteristic, complemented
138#4959C2211yescharacteristic, complemented
139#4959C2211yescharacteristic, complemented
140#4958C2211yescharacteristic, complemented
141#4958C2211yescharacteristic, complemented
142#4957C2211yescharacteristic
143#4957C2211yescharacteristic
144#4957C2211yescharacteristic, complemented
145#4956C2211yescharacteristic, complemented
146#4956C2211yescharacteristic, complemented
147#4956C2211yescharacteristic, complemented
148#4955C2211yescharacteristic
149#4952C2211yescharacteristic
150#4951C2211yescharacteristic, complemented
151#4950C2211yescharacteristic, complemented
152#4950C2211yescharacteristic, complemented
153#4949C2211yescharacteristic, complemented
154#4949C2211yescharacteristic, complemented
155#4948C2211yescharacteristic, complemented
156#4947C2211yescharacteristic, complemented
157#4945C2211yescharacteristic
158#4944C2211yescharacteristic
159#4944C2211yescharacteristic, complemented
160#4944C2211yescharacteristic, complemented
161#4943C2211yescharacteristic
162#4942C2211yescharacteristic, complemented
163#4942C2211yescharacteristic, complemented
164Dic3×C22⋊C4C2211yescharacteristic
165Dic3×C22⋊C4C2211yescharacteristic, complemented
166#4673C2211yescharacteristic, complemented
167#4673C2211yescharacteristic, complemented
168#4672C2211yescharacteristic, complemented
169#4671C2211yescharacteristic, complemented
170#4671C2211yescharacteristic, complemented
171#4670C2211yescharacteristic, complemented
172#4670C2211yescharacteristic, complemented
173#4670C2211yescharacteristic, complemented
174#4670C2211yescharacteristic, complemented
175#4669C2211yescharacteristic, complemented
176#4668C2211yescharacteristic, complemented
177#4668C2211yescharacteristic, complemented
178#4667C2211yescharacteristic, complemented
179#4665C2211yescharacteristic, complemented
180#4665C2211yescharacteristic, complemented
181#4665C2211yescharacteristic, complemented
182#4660C2211yescharacteristic, complemented
183#4657C2211yescharacteristic, complemented
184#4656C2211yescharacteristic, complemented
185#4654C2211yescharacteristic, complemented
186#4653C2211yescharacteristic, complemented
187#4651C2211yescharacteristic, complemented
188#4648C2211yescharacteristic, complemented
189#4647C2211yescharacteristic, complemented
190C2×#546—31no—
191C2×#540—31no—
192#2816—31no—
193#2813—31no—
194#2694—31no—
195#2694—31no—
196#2673—31no—
197#2673—31no—
198#2669—31no—
199#2669—31no—
200#2668—31no—
201#2668D311yescharacteristic, complemented
202#2663—31no—
203#2656—31no—
204#2631—31no—
205#2615—31no—
206#2613—31no—
207#2610—31no—
208#2598—31no—
209#2464—31no—
210#2464—31no—
211#2433—31no—
212#2430—31no—
213#2428—31no—
214#2428—31no—
215#2424—31no—
216#2424—31no—
217#2418—31no—
218#2418—31no—
219#2397—31no—
220#2353—31no—
221C25×C3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C22×C3×D4C2311yescharacteristic
229C22×C3×D4C2311yescharacteristic
230C23×C3×C4C2311yescharacteristic
231C23×C3×C4C2311yescharacteristic
232C22×#67—24no—
233C22×#67—42no—
234C22×#67—42no—
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C22×#67C2311yescharacteristic
242C22×#67C2311yescharacteristic
243C22×#67C2311yescharacteristic
244C22×#67C2311yescharacteristic
245C22×#67C2311yescharacteristic
246C22×#67C2311yescharacteristic
247C22×#67C2311yescharacteristic
248C22×#67C2311yescharacteristic
249C22×#67C2311yescharacteristic
250C22×#67C2311yescharacteristic
251C22×#67C2311yescharacteristic
252C22×#67C2311yescharacteristic
253C23×Dic3C2311yescharacteristic
254C23×Dic3C2311yescharacteristic
255C23×Dic3C2311yescharacteristic
256C23×Dic3C2311yescharacteristic
257C23×Dic3C2311yescharacteristic
258C2×#237—24no—
259C2×#237—42no—
260C2×#237—42no—
261C22×D12C2311yescharacteristic
262C22×D12C2311yescharacteristic
263C22×D12C2311yescharacteristic
264C22×D12C2311yescharacteristic
265C22×D12C2311yescharacteristic
266C22×C4×D3C2311yescharacteristic
267C22×C4×D3C2311yescharacteristic
268C22×C4×D3C2311yescharacteristic
269C22×C4×D3C2311yescharacteristic
270C22×Dic6C2311yescharacteristic
271C3×#121—24no—
272C3×#121—42no—
273C3×#120—24no—
274C3×#120—42no—
275C2×C3×C4⋊C4C2311yescharacteristic
276C2×C3×C4⋊C4C2311yescharacteristic
277C2×C3×C4⋊C4C2311yescharacteristic
278C2×C3×C22⋊C4C2311yescharacteristic
279C2×C3×C22⋊C4C2311yescharacteristic
280C2×C3×C22⋊C4C2311yescharacteristic
281C2×C3×C22⋊C4C2311yescharacteristic
282C2×C3×C22⋊C4C2311yescharacteristic
283C2×C3×C22⋊C4C2311yescharacteristic
284C2×C3×C22⋊C4C2311yescharacteristic
285C2×C3×C22⋊C4C2311yescharacteristic
286C2×C3×C22⋊C4C2311yescharacteristic
287C2×C3×C22⋊C4C2311yescharacteristic
288C2×C3×C22⋊C4C2311yescharacteristic
289C2×C3×C22⋊C4C2311yescharacteristic
290C2×C3×C22⋊C4C2311yescharacteristic
291C2×C3×C22⋊C4C2311yescharacteristic
292C2×C3×C22⋊C4C2311yescharacteristic
293C2×C3×C22⋊C4C2311yescharacteristic
294#953—42no—
295#953—42no—
296C2×#217—24no—
297C2×#217C2311yescharacteristic
298C2×#217C2311yescharacteristic
299C2×#217C2311yescharacteristic
300C2×#217C2311yescharacteristic
301C2×#217C2311yescharacteristic
302C2×#217C2311yescharacteristic
303C2×#217C2311yescharacteristic
304C2×#217C2311yescharacteristic
305C2×#217C2311yescharacteristic
306C2×#217C2311yescharacteristic
307C2×#217C2311yescharacteristic
308C2×#217C2311yescharacteristic
309C2×#217C2311yescharacteristic
310C2×#217C2311yescharacteristic
311C2×#217C2311yescharacteristic
312C2×#217C2311yescharacteristic
313#940—24no—
314#940—42no—
315#940—42no—
316#939—24no—
317#939—24no—
318#939—24no—
319#939—24no—
320#939—42no—
321#939—42no—
322#939—42no—
323#939—42no—
324#938—24no—
325#938—24no—
326#938—24no—
327#937—24no—
328#937—42no—
329D4×Dic3D418yescomplemented
330#930—24no—
331#930—42no—
332#930—42no—
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
359#926—24no—
360C2×C4⋊Dic3C2311yescharacteristic
361C2×C4⋊Dic3C2311yescharacteristic
362C2×C4⋊Dic3C2311yescharacteristic
363C2×C4⋊Dic3C2311yescharacteristic
364C2×C4⋊Dic3C2311yescharacteristic
365C2×C4⋊Dic3C2311yescharacteristic
366C2×C4⋊Dic3C2311yescharacteristic
367C2×C4⋊Dic3C2311yescharacteristic
368C2×Dic3⋊C4C2311yescharacteristic
369C2×Dic3⋊C4C2311yescharacteristic
370C2×Dic3⋊C4C2311yescharacteristic
371C2×Dic3⋊C4C2311yescharacteristic
372C2×Dic3⋊C4C2311yescharacteristic
373C2×Dic3⋊C4C2311yescharacteristic
374C2×Dic3⋊C4C2311yescharacteristic
375C2×Dic3⋊C4C2311yescharacteristic
376C2×Dic3⋊C4C2311yescharacteristic
377C2×Dic3⋊C4C2311yescharacteristic
378C2×C4×Dic3C2311yescharacteristic
379C2×C4×Dic3C2311yescharacteristic
380C2×C4×Dic3C2311yescharacteristic
381C2×C4×Dic3C2311yescharacteristic
382C2×C4×Dic3C2311yescharacteristic
383C2×C4×Dic3C2311yescharacteristic
384#893—24no—
385#893—42no—
386#893—42no—
387#890—24no—
388#886—24no—
389#886—24no—
390#886—24no—
391#885—24no—
392#884—42no—
393#883—24no—
394#883—24no—
395#883—24no—
396#882—42no—
397#882—42no—
398#67⋊C4—24no—
399#67⋊C4—42no—
400#67⋊C4—42no—
401D3×C22⋊C4—24no—
402#878—24no—
403C3×#95C2311yescharacteristic
404C3×#95C2311yescharacteristic
405C3×#95C2311yescharacteristic
406C3×#95C2311yescharacteristic
407C3×#95C2311yescharacteristic
408C3×#95C2311yescharacteristic
409C3⋊#95C2311yescharacteristic
410C3⋊#95C2311yescharacteristic
411C3⋊#95C2311yescharacteristic
412C3⋊#95C2311yescharacteristic
413C3⋊#95C2311yescharacteristic
414C3⋊#95C2311yescharacteristic
415C3⋊#95C2311yescharacteristic
416C3⋊#95C2311yescharacteristic
417C3⋊#95C2311yescharacteristic
418C3⋊#95C2311yescharacteristic
419C3⋊#95C2311yescharacteristic
420C3⋊#95C2311yescharacteristic
421C3⋊#95C2311yescharacteristic
422C3⋊#95C2311yescharacteristic
423C3⋊#95C2311yescharacteristic
424C3⋊#95C2311yescharacteristic
425C3⋊#95C2311yescharacteristic
426C3⋊#95C2311yescharacteristic
427C3⋊#95C2311yescharacteristic
428C3⋊#95C2311yescharacteristic
429C22×#41—31no—
430C23×D4—31no—
431#546—68no—
432#540—68no—
433C2×#127—31no—
434C2×#127—31no—
435C2×#127—31no—
436C2×#125—31no—
437C2×#124—31no—
438C2×#123—31no—
439C2×#123—31no—
440C2×#123—31no—
441C2×#123—31no—
442C2×#123—31no—
443C2×#123—31no—
444C2×C22⋊Q8—31no—
445C2×#121—31no—
446C2×#121—31no—
447C2×#121—31no—
448C2×#121—31no—
449C2×#121—31no—
450C2×#121—31no—
451C2×#121—31no—
452C2×#121—31no—
453C2×#121—31no—
454C2×#121—31no—
455C2×#121—31no—
456C2×#121—31no—
457C2×#121—31no—
458C2×#121—31no—
459C2×#121—31no—
460C2×#121C2×D311yescharacteristic
461C2×#121C2×D311yescharacteristic, complemented
462C2×#120—31no—
463C2×#120—31no—
464C2×#120—31no—
465C2×#120—31no—
466C2×#120—31no—
467C2×#120—31no—
468C2×#120C2×D311yescharacteristic
469C2×#120C2×D311yescharacteristic
470C2×C4×D4—31no—
471C2×C4×D4—31no—
472C2×C4×D4—31no—
473C2×C4×D4—31no—
474C2×C4×D4—31no—
475C2×C4×D4—31no—
476C2×C4×D4—31no—
477C2×#117—31no—
478C22×C22⋊C4—31no—
479C22×C22⋊C4—31no—
480#400—31no—
481#399—31no—
482#399—31no—
483#399—31no—
484#399—31no—
485#399—31no—
486#399—31no—
487#399C2×D311yescharacteristic, complemented
488#398—31no—
489#398—31no—
490#397—31no—
491#397—31no—
492#397C2×D311yescharacteristic
493#397C2×D311yescharacteristic, complemented
494#396—31no—
495#396—31no—
496#395—31no—
497#394—31no—
498#394—31no—
499#394—31no—
500#394—31no—
501#394—31no—
502#394—31no—
503#394—31no—
504#394—31no—
505#394—31no—
506#394—31no—
507#394—31no—
508#394—31no—
509#394—31no—
510#394—31no—
511#394C2×D311yescharacteristic
512#394C2×D311yescharacteristic, complemented
513#393—31no—
514#393—31no—
515#393—31no—
516#392—31no—
517#392—31no—
518#392—31no—
519#392—31no—
520#392—31no—
521#392—31no—
522#392—31no—
523#392—31no—
524#392—31no—
525#392—31no—
526#392—31no—
527#392—31no—
528#392—31no—
529#392—31no—
530#392—31no—
531#392—31no—
532#392—31no—
533#392—31no—
534#392—31no—
535#392C2×D311yescharacteristic, complemented
536#390—31no—
537#390—31no—
538#390—31no—
539#390—31no—
540#389—31no—
541#389—31no—
542#388—31no—
543#388—31no—
544#388—31no—
545#388—31no—
546#388—31no—
547#388—31no—
548#388—31no—
549#388—31no—
550#388—31no—
551#388—31no—
552#387—31no—
553#387—31no—
554#386—31no—
555#386—31no—
556#386—31no—
557#386—31no—
558#386—31no—
559#386—31no—
560#386—31no—
561#386—31no—
562#386—31no—
563#386—31no—
564#386—31no—
565#386—31no—
566#386C2×D311yescharacteristic
567#386C2×D311yescharacteristic, complemented
568#386C2×D311yescharacteristic, complemented
569#386C2×D311yescharacteristic, complemented
570#385—31no—
571#385—31no—
572#385—31no—
573#385—31no—
574#383—31no—
575#381—31no—
576#380—31no—
577#380—31no—
578#380—31no—
579#379—31no—
580#379C2×D311yescharacteristic
581C4×C22⋊C4—31no—
582C4×C22⋊C4—31no—
583C4×C22⋊C4—31no—
584#376—31no—
585C2×#95—31no—
586C24×C3—22no—
587C24×C3—22no—
588C24×C3—41no—
589C24×C3—41no—
590C24×C3—41no—
591C24×C3—41no—
592C24×C3—41no—
593C24×C3C2411yescharacteristic
594C24×C3C2411yescharacteristic
595C24×C3C2411yescharacteristic
596C24×C3C2411yescharacteristic
597C24×C3C2411yescharacteristic
598C23×D3—22no—
599C23×D3—22no—
600C23×D3—41no—
601C23×D3—41no—
602C23×D3—41no—
603C23×D3—41no—
604C23×D3—41no—
605C23×D3C2411yescharacteristic
606C23×D3C2411yescharacteristic
607C23×D3C2411yescharacteristic
608C23×D3C2411yescharacteristic
609C2×C3×D4—22no—
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—
619C2×C3×D4—41no—
620C2×C3×D4—41no—
621C2×C3×D4—41no—
622C2×C3×D4—41no—
623C2×C3×D4—41no—
624C2×C3×D4—41no—
625C2×C3×D4—41no—
626C2×C3×D4—41no—
627C2×C3×D4—41no—
628C2×C3×D4—41no—
629C2×C3×D4C2×D414yes—
630C22×C3×C4—22no—
631C22×C3×C4—22no—
632C22×C3×C4—41no—
633C22×C3×C4—41no—
634C22×C3×C4—41no—
635C22×C3×C4—41no—
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
645C22×C3×C4C2411yescharacteristic
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—22no—
661C2×#67—22no—
662C2×#67—22no—
663C2×#67—22no—
664C2×#67—22no—
665C2×#67—22no—
666C2×#67—22no—
667C2×#67—22no—
668C2×#67—41no—
669C2×#67—41no—
670C2×#67—41no—
671C2×#67—41no—
672C2×#67—41no—
673C2×#67—41no—
674C2×#67—41no—
675C2×#67—41no—
676C2×#67—41no—
677C2×#67—41no—
678C2×#67—41no—
679C2×#67—41no—
680C2×#67—41no—
681C2×#67—41no—
682C2×#67—41no—
683C2×#67—41no—
684C2×#67—41no—
685C2×#67—41no—
686C2×#67—41no—
687C2×#67—41no—
688C2×#67—41no—
689C2×#67—41no—
690C2×#67—41no—
691C2×#67—41no—
692C2×#67—41no—
693C2×#67—41no—
694C2×#67—41no—
695C2×#67—41no—
696C2×#67—41no—
697C2×#67—41no—
698C2×#67—41no—
699C2×#67—41no—
700C2×#67—416no—
701C22×Dic3—22no—
702C22×Dic3—22no—
703C22×Dic3—22no—
704C22×Dic3—22no—
705C22×Dic3—41no—
706C22×Dic3—41no—
707C22×Dic3—41no—
708C22×Dic3—41no—
709C22×Dic3—41no—
710C22×Dic3—41no—
711C22×Dic3—41no—
712C22×Dic3—41no—
713C22×Dic3—41no—
714C22×Dic3C2×D414yes—
715C22×Dic3C2×D414yes—
716C22×Dic3C2411yescharacteristic
717C22×Dic3C2411yescharacteristic
718C22×Dic3C2411yescharacteristic
719C22×Dic3C2411yescharacteristic
720C22×Dic3C2411yescharacteristic
721C22×Dic3C2411yescharacteristic
722C22×Dic3C2411yescharacteristic
723C22×Dic3C2411yescharacteristic
724C22×Dic3C2411yescharacteristic
725C22×Dic3C2411yescharacteristic
726C22×Dic3C2411yescharacteristic
727C22×Dic3C2411yescharacteristic
728#237—416no—
729C2×D12—22no—
730C2×D12—22no—
731C2×D12—22no—
732C2×D12—22no—
733C2×D12—41no—
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×C4×D3—22no—
745C2×C4×D3—22no—
746C2×C4×D3—22no—
747C2×C4×D3—22no—
748C2×C4×D3—22no—
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×Dic6—22no—
757C2×Dic6—41no—
758C2×Dic6—41no—
759C3×C4⋊C4—22no—
760C3×C4⋊C4—22no—
761C3×C4⋊C4—41no—
762C3×C22⋊C4—22no—
763C3×C22⋊C4—22no—
764C3×C22⋊C4—22no—
765C3×C22⋊C4—22no—
766C3×C22⋊C4—22no—
767C3×C22⋊C4—22no—
768C3×C22⋊C4—22no—
769C3×C22⋊C4—41no—
770C3×C22⋊C4—41no—
771C3×C22⋊C4—41no—
772C3×C22⋊C4—41no—
773C3×C22⋊C4—41no—
774C3×C22⋊C4—41no—
775C3×C22⋊C4—41no—
776C3×C22⋊C4—41no—
777C3×C22⋊C4—41no—
778#217—22no—
779#217—22no—
780#217—22no—
781#217—22no—
782#217—22no—
783#217—22no—
784#217—22no—
785#217—22no—
786#217—41no—
787#217—41no—
788#217—41no—
789#217—41no—
790#217—41no—
791#217—41no—
792#217C2×D414yes—
793#217C2×D414yes—
794(C2×D3)⋊C4—22no—
795(C2×D3)⋊C4—22no—
796(C2×D3)⋊C4—22no—
797(C2×D3)⋊C4—22no—
798(C2×D3)⋊C4—22no—
799(C2×D3)⋊C4—22no—
800(C2×D3)⋊C4—22no—
801(C2×D3)⋊C4—22no—
802(C2×D3)⋊C4—22no—
803(C2×D3)⋊C4—22no—
804(C2×D3)⋊C4—22no—
805(C2×D3)⋊C4—22no—
806(C2×D3)⋊C4—22no—
807(C2×D3)⋊C4—41no—
808(C2×D3)⋊C4—41no—
809(C2×D3)⋊C4—41no—
810(C2×D3)⋊C4—41no—
811(C2×D3)⋊C4—41no—
812(C2×D3)⋊C4—41no—
813(C2×D3)⋊C4—41no—
814(C2×D3)⋊C4—41no—
815(C2×D3)⋊C4—41no—
816(C2×D3)⋊C4—41no—
817(C2×D3)⋊C4—41no—
818(C2×D3)⋊C4—41no—
819(C2×D3)⋊C4—41no—
820C4⋊Dic3—22no—
821C4⋊Dic3—22no—
822C4⋊Dic3—22no—
823C4⋊Dic3—22no—
824C4⋊Dic3—22no—
825C4⋊Dic3—41no—
826C4⋊Dic3—41no—
827C4⋊Dic3C2×D414yes—
828Dic3⋊C4—22no—
829Dic3⋊C4—22no—
830Dic3⋊C4—22no—
831Dic3⋊C4—22no—
832Dic3⋊C4—22no—
833Dic3⋊C4—41no—
834Dic3⋊C4—41no—
835Dic3⋊C4—41no—
836Dic3⋊C4—41no—
837Dic3⋊C4—41no—
838C4×Dic3—22no—
839C4×Dic3—22no—
840C4×Dic3—22no—
841C4×Dic3—41no—
842C4×Dic3—41no—
843C4×Dic3C2×D414yes—
844C25—31no—
845C25C22×D311yescharacteristic
846C2×#41—64no—
847C2×#41—122no—
848C2×#41—122no—
849C22×Q8—31no—
850C22×D4—31no—
851C22×D4—31no—
852C22×D4—31no—
853C22×D4—31no—
854C22×D4—31no—
855C22×D4—31no—
856C22×D4—31no—
857C22×D4—31no—
858C22×D4—31no—
859C22×D4—31no—
860C22×D4—31no—
861C22×D4—31no—
862C22×D4—31no—
863C22×D4—31no—
864C22×D4—31no—
865C22×D4—31no—
866C22×D4—31no—
867C22×D4—31no—
868C22×D4—31no—
869C22×D4—31no—
870C22×D4—31no—
871C22×D4—31no—
872C22×D4—31no—
873C22×D4—64no—
874C22×D4—122no—
875C22×D4—122no—
876C22×D4C22×D311yescharacteristic
877C22×D4C22×D311yescharacteristic
878C22×D4C22×D311yescharacteristic
879C22×D4C22×D311yescharacteristic
880C22×D4C22×D311yescharacteristic
881C22×D4C22×D311yescharacteristic
882C22×D4C22×D311yescharacteristic
883C23×C4—31no—
884C23×C4—31no—
885C23×C4—31no—
886C23×C4—31no—
887C23×C4—31no—
888C23×C4—31no—
889C23×C4—31no—
890C23×C4—31no—
891C23×C4—31no—
892C23×C4C22×D311yescharacteristic
893C23×C4C22×D311yescharacteristic
894#127—64no—
895#127—122no—
896#127—122no—
897#125—64no—
898#124—64no—
899#123—64no—
900#123—64no—
901#123—64no—
902#123—64no—
903#123—64no—
904#123—64no—
905C22⋊Q8—64no—
906#121—24no—
907#121—42no—
908#121—64no—
909#121—64no—
910#121—64no—
911#121—64no—
912#121—64no—
913#121—64no—
914#121—64no—
915#121—64no—
916#121—122no—
917#121—122no—
918#121—122no—
919#121—122no—
920#121—122no—
921#121—122no—
922#121—122no—
923#120—24no—
924#120—42no—
925#120—64no—
926#120—122no—
927#120—122no—
928#120—122no—
929#120—122no—
930#120—122no—
931C4×D4—38no—
932C4×D4—64no—
933C4×D4—64no—
934C4×D4—122no—
935C4×D4—122no—
936C4×D4—122no—
937C4×D4—122no—
938#117—64no—
939C2×C4⋊C4—31no—
940C2×C4⋊C4—31no—
941C2×C4⋊C4—31no—
942C2×C4⋊C4—31no—
943C2×C4⋊C4—31no—
944C2×C4⋊C4—31no—
945C2×C4⋊C4—31no—
946C2×C4⋊C4—31no—
947C2×C4⋊C4—31no—
948C2×C4⋊C4—31no—
949C2×C4⋊C4—31no—
950C2×C4⋊C4—31no—
951C2×C4⋊C4—31no—
952C2×C4⋊C4—31no—
953C2×C4⋊C4—31no—
954C2×C4⋊C4—31no—
955C2×C4⋊C4—31no—
956C2×C4⋊C4—31no—
957C2×C4⋊C4C22×D311yescharacteristic
958C2×C4⋊C4C22×D311yescharacteristic
959C2×C4⋊C4C22×D311yescharacteristic
960C2×C22⋊C4—31no—
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—64no—
1003C2×C22⋊C4—64no—
1004C2×C22⋊C4C22×D311yescharacteristic
1005C2×C22⋊C4C22×D311yescharacteristic
1006C2×C22⋊C4C22×D311yescharacteristic
1007C2×C22⋊C4C22×D311yescharacteristic
1008C2×C22⋊C4C22×D311yescharacteristic
1009C2×C22⋊C4C22×D311yescharacteristic
1010C2×C22⋊C4C22×D311yescharacteristic
1011C2×C22⋊C4C22×D311yescharacteristic
1012C2×C22⋊C4C22×D311yescharacteristic
1013C2×C22⋊C4C22×D311yescharacteristic
1014C2×C22⋊C4C22×D311yescharacteristic
1015C2×C22⋊C4C22×D311yescharacteristic
1016C2×C22⋊C4C22×D311yescharacteristic
1017C2×C22⋊C4C22×D311yescharacteristic
1018C2×C22⋊C4C22×D311yescharacteristic
1019C2×C22⋊C4C22×D311yescharacteristic
1020C2×C42—31no—
1021C2×C42—31no—
1022C2×C42—31no—
1023C2×C42—31no—
1024C2×C42—31no—
1025C2×C42—31no—
1026#95—31no—
1027#95—31no—
1028#95—31no—
1029#95—31no—
1030#95—31no—
1031#95—31no—
1032#95—31no—
1033#95—31no—
1034#95—31no—
1035#95—31no—
1036#95—31no—
1037#95—31no—
1038#95—31no—
1039#95—31no—
1040#95—31no—
1041#95—31no—
1042#95—31no—
1043#95—31no—
1044#95—31no—
1045#95—31no—
1046#95C22×D311yescharacteristic
1047#95C22×D311yescharacteristic
1048#95C22×D311yescharacteristic
1049#95C22×D311yescharacteristic
1050#95C22×D311yescharacteristic
1051#95C22×D311yescharacteristic
1052C23×C3—21no—
1053C23×C3—21no—
1054C23×C3—21no—
1055C23×C3—21no—
1056C23×C3—21no—
1057C23×C3—21no—
1058C23×C3—21no—
1059C23×C3—21no—
1060C23×C3—21no—
1061C23×C3—21no—
1062C23×C3—21no—
1063C23×C3—21no—
1064C23×C3—21no—
1065C23×C3—21no—
1066C23×C3—21no—
1067C23×C3—21no—
1068C23×C3—21no—
1069C23×C3—21no—
1070C23×C3—21no—
1071C23×C3—21no—
1072C23×C3—21no—
1073C23×C3—21no—
1074C23×C3—21no—
1075C23×C3—21no—
1076C23×C3—21no—
1077C23×C3—21no—
1078C23×C3—21no—
1079C23×C3—21no—
1080C23×C3—21no—
1081C23×C3—21no—
1082C23×C3—21no—
1083C23×C3—21no—
1084C23×C3—44no—
1085C23×C3—44no—
1086C23×C3—82no—
1087C23×C3—82no—
1088C23×C3—82no—
1089C23×C3—82no—
1090C23×C3—82no—
1091C23×C3C22×D412yes—
1092C23×C3C22×D412yes—
1093C23×C3H(5,𝔽2)12yes—
1094C23×C3C2511yescharacteristic
1095C22×D3—21no—
1096C22×D3—21no—
1097C22×D3—21no—
1098C22×D3—21no—
1099C22×D3—21no—
1100C22×D3—21no—
1101C22×D3—21no—
1102C22×D3—21no—
1103C22×D3—21no—
1104C22×D3—21no—
1105C22×D3—21no—
1106C22×D3—21no—
1107C22×D3—21no—
1108C22×D3—21no—
1109C22×D3—21no—
1110C22×D3—21no—
1111C22×D3—21no—
1112C22×D3—21no—
1113C22×D3—21no—
1114C22×D3—21no—
1115C22×D3—21no—
1116C22×D3—21no—
1117C22×D3—21no—
1118C22×D3—21no—
1119C22×D3—21no—
1120C22×D3—21no—
1121C22×D3—21no—
1122C22×D3—44no—
1123C22×D3—44no—
1124C22×D3—82no—
1125C22×D3—82no—
1126C22×D3—82no—
1127C22×D3—82no—
1128C22×D3—82no—
1129C22×D3H(5,𝔽2)12yes—
1130C3×D4—44no—
1131C3×D4—44no—
1132C3×D4—82no—
1133C3×D4—82no—
1134C3×D4—82no—
1135C3×D4—82no—
1136C3×D4—82no—
1137C2×C3×C4—21no—
1138C2×C3×C4—21no—
1139C2×C3×C4—21no—
1140C2×C3×C4—21no—
1141C2×C3×C4—21no—
1142C2×C3×C4—21no—
1143C2×C3×C4—21no—
1144C2×C3×C4—21no—
1145C2×C3×C4—21no—
1146C2×C3×C4—21no—
1147C2×C3×C4—21no—
1148C2×C3×C4—21no—
1149C2×C3×C4—21no—
1150C2×C3×C4—21no—
1151C2×C3×C4—21no—
1152C2×C3×C4—21no—
1153C2×C3×C4—21no—
1154C2×C3×C4—21no—
1155C2×C3×C4—21no—
1156C2×C3×C4—21no—
1157C2×C3×C4—21no—
1158C2×C3×C4—21no—
1159C2×C3×C4—21no—
1160C2×C3×C4—21no—
1161C2×C3×C4—21no—
1162C2×C3×C4—21no—
1163C2×C3×C4—21no—
1164C2×C3×C4—21no—
1165C2×C3×C4—44no—
1166C2×C3×C4—82no—
1167C2×C3×C4C22×D412yes—
1168C2×C3×C4H(5,𝔽2)12yes—
1169#67—28no—
1170#67—44no—
1171#67—44no—
1172#67—44no—
1173#67—44no—
1174#67—44no—
1175#67—44no—
1176#67—82no—
1177#67—82no—
1178#67—82no—
1179#67—82no—
1180#67—82no—
1181#67—82no—
1182#67—82no—
1183#67—82no—
1184#67—82no—
1185#67—82no—
1186#67—82no—
1187C2×Dic3—21no—
1188C2×Dic3—21no—
1189C2×Dic3—21no—
1190C2×Dic3—21no—
1191C2×Dic3—21no—
1192C2×Dic3—21no—
1193C2×Dic3—21no—
1194C2×Dic3—21no—
1195C2×Dic3—21no—
1196C2×Dic3—21no—
1197C2×Dic3—21no—
1198C2×Dic3—21no—
1199C2×Dic3—21no—
1200C2×Dic3—21no—
1201C2×Dic3—21no—
1202C2×Dic3—21no—
1203C2×Dic3—21no—
1204C2×Dic3—21no—
1205C2×Dic3—21no—
1206C2×Dic3—21no—
1207C2×Dic3—21no—
1208C2×Dic3—21no—
1209C2×Dic3—21no—
1210C2×Dic3—21no—
1211C2×Dic3—21no—
1212C2×Dic3—21no—
1213C2×Dic3—21no—
1214C2×Dic3—21no—
1215C2×Dic3—21no—
1216C2×Dic3—21no—
1217C2×Dic3—21no—
1218C2×Dic3—44no—
1219C2×Dic3—44no—
1220C2×Dic3—44no—
1221C2×Dic3—82no—
1222C2×Dic3—82no—
1223C2×Dic3C22×D412yes—
1224C2×Dic3C22×D412yes—
1225C2×Dic3C22×D412yes—
1226C2×Dic3C22×D412yes—
1227C2×Dic3H(5,𝔽2)12yes—
1228D12—44no—
1229D12—44no—
1230D12—44no—
1231D12—82no—
1232D12—82no—
1233C4×D3—44no—
1234C4×D3—82no—
1235C4×D3—82no—
1236C4×D3—82no—
1237Dic6—44no—
1238C24—22no—
1239C24—22no—
1240C24—31no—
1241C24—31no—
1242C24—31no—
1243C24—31no—
1244C24—41no—
1245C24—41no—
1246C24—41no—
1247C24—41no—
1248C24—41no—
1249C24—62no—
1250C24—62no—
1251C24—121no—
1252C24—121no—
1253C24—121no—
1254C24—121no—
1255C24—121no—
1256C24C23×D311yescharacteristic
1257C24C23×D311yescharacteristic
1258C24C23×D311yescharacteristic
1259C24C23×D311yescharacteristic
1260C24C23×D311yescharacteristic
1261#41—1216no—
1262C2×Q8—62no—
1263C2×Q8—121no—
1264C2×Q8—121no—
1265C2×D4—22no—
1266C2×D4—22no—
1267C2×D4—22no—
1268C2×D4—22no—
1269C2×D4—22no—
1270C2×D4—22no—
1271C2×D4—22no—
1272C2×D4—41no—
1273C2×D4—41no—
1274C2×D4—41no—
1275C2×D4—41no—
1276C2×D4—41no—
1277C2×D4—41no—
1278C2×D4—41no—
1279C2×D4—41no—
1280C2×D4—41no—
1281C2×D4—41no—
1282C2×D4—41no—
1283C2×D4—41no—
1284C2×D4—41no—
1285C2×D4—62no—
1286C2×D4—62no—
1287C2×D4—62no—
1288C2×D4—62no—
1289C2×D4—62no—
1290C2×D4—62no—
1291C2×D4—62no—
1292C2×D4—62no—
1293C2×D4—62no—
1294C2×D4—62no—
1295C2×D4—62no—
1296C2×D4—62no—
1297C2×D4—62no—
1298C2×D4—62no—
1299C2×D4—62no—
1300C2×D4—62no—
1301C2×D4—62no—
1302C2×D4—62no—
1303C2×D4—62no—
1304C2×D4—62no—
1305C2×D4—62no—
1306C2×D4—62no—
1307C2×D4—62no—
1308C2×D4—62no—
1309C2×D4—62no—
1310C2×D4—62no—
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—1216no—
1355C2×D4D3×D414yes—
1356C22×C4—22no—
1357C22×C4—22no—
1358C22×C4—31no—
1359C22×C4—31no—
1360C22×C4—31no—
1361C22×C4—31no—
1362C22×C4—31no—
1363C22×C4—34no—
1364C22×C4—34no—
1365C22×C4—31no—
1366C22×C4—31no—
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—41no—
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—62no—
1385C22×C4—121no—
1386C22×C4—121no—
1387C22×C4—121no—
1388C22×C4—121no—
1389C22×C4—121no—
1390C22×C4—121no—
1391C22×C4—121no—
1392C22×C4—121no—
1393C22×C4—121no—
1394C22×C4—121no—
1395C22×C4—121no—
1396C22×C4—121no—
1397C22×C4—121no—
1398C22×C4—121no—
1399C22×C4—121no—
1400C22×C4—121no—
1401C22×C4C23×D311yescharacteristic
1402C22×C4C23×D311yescharacteristic
1403C22×C4C23×D311yescharacteristic
1404C22×C4C23×D311yescharacteristic
1405C22×C4C23×D311yescharacteristic
1406C22×C4C23×D311yescharacteristic
1407C22×C4C23×D311yescharacteristic
1408C22×C4C23×D311yescharacteristic
1409C22×C4C23×D311yescharacteristic
1410C22×C4C23×D311yescharacteristic
1411C4⋊C4—22no—
1412C4⋊C4—22no—
1413C4⋊C4—34no—
1414C4⋊C4—41no—
1415C4⋊C4—62no—
1416C4⋊C4—62no—
1417C4⋊C4—62no—
1418C4⋊C4—62no—
1419C4⋊C4—62no—
1420C4⋊C4—62no—
1421C4⋊C4—62no—
1422C4⋊C4—62no—
1423C4⋊C4—62no—
1424C4⋊C4—62no—
1425C4⋊C4—121no—
1426C4⋊C4—121no—
1427C4⋊C4—121no—
1428C4⋊C4—121no—
1429C4⋊C4—121no—
1430C4⋊C4—121no—
1431C4⋊C4—121no—
1432C22⋊C4—22no—
1433C22⋊C4—22no—
1434C22⋊C4—22no—
1435C22⋊C4—22no—
1436C22⋊C4—22no—
1437C22⋊C4—22no—
1438C22⋊C4—22no—
1439C22⋊C4—34no—
1440C22⋊C4—34no—
1441C22⋊C4—41no—
1442C22⋊C4—41no—
1443C22⋊C4—41no—
1444C22⋊C4—41no—
1445C22⋊C4—41no—
1446C22⋊C4—41no—
1447C22⋊C4—41no—
1448C22⋊C4—41no—
1449C22⋊C4—41no—
1450C22⋊C4—62no—
1451C22⋊C4—62no—
1452C22⋊C4—62no—
1453C22⋊C4—62no—
1454C22⋊C4—62no—
1455C22⋊C4—62no—
1456C22⋊C4—62no—
1457C22⋊C4—62no—
1458C22⋊C4—62no—
1459C22⋊C4—62no—
1460C22⋊C4—62no—
1461C22⋊C4—62no—
1462C22⋊C4—62no—
1463C22⋊C4—62no—
1464C22⋊C4—62no—
1465C22⋊C4—62no—
1466C22⋊C4—62no—
1467C22⋊C4—62no—
1468C22⋊C4—62no—
1469C22⋊C4—62no—
1470C22⋊C4—62no—
1471C22⋊C4—121no—
1472C22⋊C4—121no—
1473C22⋊C4—121no—
1474C22⋊C4—121no—
1475C22⋊C4—121no—
1476C22⋊C4—121no—
1477C22⋊C4—121no—
1478C22⋊C4—121no—
1479C22⋊C4—121no—
1480C22⋊C4—121no—
1481C22⋊C4—121no—
1482C22⋊C4—121no—
1483C22⋊C4—121no—
1484C22⋊C4—121no—
1485C22⋊C4—121no—
1486C22⋊C4—121no—
1487C22⋊C4—121no—
1488C22⋊C4—121no—
1489C22⋊C4—121no—
1490C42—34no—
1491C42—62no—
1492C42—62no—
1493C42—62no—
1494C42—121no—
1495C42—121no—
1496C22×C3—22no—
1497C22×C3—22no—
1498C22×C3—22no—
1499C22×C3—22no—
1500C22×C3—22no—
1501C22×C3—22no—
1502C22×C3—22no—
1503C22×C3—22no—
1504C22×C3—22no—
1505C22×C3—41no—
1506C22×C3—41no—
1507C22×C3—41no—
1508C22×C3—41no—
1509C22×C3—41no—
1510C22×C3—41no—
1511C22×C3—41no—
1512C22×C3—41no—
1513C22×C3—41no—
1514C22×C3—41no—
1515C22×C3—41no—
1516C22×C3—41no—
1517C22×C3—41no—
1518C22×C3—41no—
1519C22×C3—41no—
1520C22×C3—41no—
1521C22×C3—41no—
1522C22×C3—41no—
1523C22×C3—41no—
1524C22×C3—41no—
1525C22×C3—41no—
1526C22×C3—41no—
1527C22×C3—41no—
1528C22×C3—41no—
1529C22×C3—41no—
1530C22×C3—41no—
1531C22×C3—88no—
1532C22×C3C23×D411yescharacteristic
1533C22×C3C2×H(5,𝔽2)11yescharacteristic
1534C22×C3C2×H(5,𝔽2)11yescharacteristic
1535C22×C3C2×H(5,𝔽2)11yescharacteristic
1536C22×C3C2×H(5,𝔽2)11yescharacteristic
1537C22×C3#58511yescharacteristic
1538C22×C3#58511yescharacteristic
1539C2×D3—22no—
1540C2×D3—22no—
1541C2×D3—22no—
1542C2×D3—41no—
1543C2×D3—41no—
1544C2×D3—41no—
1545C2×D3—41no—
1546C2×D3—41no—
1547C2×D3—41no—
1548C2×D3—41no—
1549C2×D3—41no—
1550C2×D3—41no—
1551C2×D3—41no—
1552C2×D3—41no—
1553C2×D3—41no—
1554C2×D3—41no—
1555C2×D3—41no—
1556C2×D3—41no—
1557C2×D3—41no—
1558C2×D3—41no—
1559C2×D3—41no—
1560C2×D3—41no—
1561C2×D3—41no—
1562C2×D3—41no—
1563C2×D3—41no—
1564C2×D3—41no—
1565C2×D3—41no—
1566C2×D3—41no—
1567C2×D3—88no—
1568C3×C4—22no—
1569C3×C4—22no—
1570C3×C4—41no—
1571C3×C4—41no—
1572C3×C4—41no—
1573C3×C4—41no—
1574C3×C4—41no—
1575C3×C4—41no—
1576C3×C4—41no—
1577C3×C4—41no—
1578Dic3—22no—
1579Dic3—22no—
1580Dic3—22no—
1581Dic3—22no—
1582Dic3—22no—
1583Dic3—41no—
1584Dic3—41no—
1585Dic3—41no—
1586Dic3—41no—
1587Dic3—41no—
1588Dic3—41no—
1589Dic3—41no—
1590C23—21no—
1591C23—21no—
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—21no—
1607C23—21no—
1608C23—21no—
1609C23—21no—
1610C23—21no—
1611C23—21no—
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—21no—
1616C23—21no—
1617C23—21no—
1618C23—21no—
1619C23—21no—
1620C23—21no—
1621C23—21no—
1622C23—32no—
1623C23—44no—
1624C23—44no—
1625C23—61no—
1626C23—61no—
1627C23—61no—
1628C23—61no—
1629C23—61no—
1630C23—61no—
1631C23—61no—
1632C23—61no—
1633C23—61no—
1634C23—61no—
1635C23—61no—
1636C23—61no—
1637C23—61no—
1638C23—61no—
1639C23—61no—
1640C23—61no—
1641C23—61no—
1642C23—61no—
1643C23—61no—
1644C23—61no—
1645C23—61no—
1646C23—61no—
1647C23—61no—
1648C23—61no—
1649C23—61no—
1650C23—61no—
1651C23—61no—
1652C23—82no—
1653C23—82no—
1654C23—82no—
1655C23—82no—
1656C23—82no—
1657C23—124no—
1658C23—124no—
1659C23—242no—
1660C23—242no—
1661C23—242no—
1662C23—242no—
1663C23—242no—
1664C23C2×D3×D412yes—
1665C23C2×D3×D412yes—
1666C23#100912yes—
1667C23C24×D311yescharacteristic
1668Q8—124no—
1669D4—44no—
1670D4—44no—
1671D4—68no—
1672D4—82no—
1673D4—82no—
1674D4—82no—
1675D4—82no—
1676D4—82no—
1677D4—124no—
1678D4—124no—
1679D4—124no—
1680D4—124no—
1681D4—124no—
1682D4—124no—
1683D4—124no—
1684D4—124no—
1685D4—124no—
1686D4—242no—
1687D4—242no—
1688D4—242no—
1689D4—242no—
1690D4—242no—
1691D4—242no—
1692D4—242no—
1693D4—242no—
1694D4—242no—
1695D4—242no—
1696D4—242no—
1697D4—242no—
1698D4—242no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—32no—
1728C2×C4—32no—
1729C2×C4—32no—
1730C2×C4—32no—
1731C2×C4—32no—
1732C2×C4—44no—
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—61no—
1755C2×C4—61no—
1756C2×C4—61no—
1757C2×C4—61no—
1758C2×C4—61no—
1759C2×C4—61no—
1760C2×C4—61no—
1761C2×C4—61no—
1762C2×C4—61no—
1763C2×C4—61no—
1764C2×C4—82no—
1765C2×C4—124no—
1766C2×C4—124no—
1767C2×C4—124no—
1768C2×C4—124no—
1769C2×C4—242no—
1770C2×C4—242no—
1771C2×C4—242no—
1772C2×C4—242no—
1773C2×C4—242no—
1774C2×C4C2×D3×D412yes—
1775C2×C4#100412yes—
1776C2×C3—42no—
1777C2×C3—42no—
1778C2×C3—42no—
1779C2×C3—81no—
1780C2×C3—81no—
1781C2×C3#344911yescharacteristic
1782C2×C3#348411yescharacteristic
1783C2×C3#349811yescharacteristic
1784C2×C3#353411yescharacteristic
1785C2×C3#353411yescharacteristic
1786C2×C3#354211yescharacteristic
1787C2×C3#354211yescharacteristic
1788D3—42no—
1789D3—81no—
1790D3—81no—
1791D3—81no—
1792C22—22no—
1793C22—22no—
1794C22—22no—
1795C22—22no—
1796C22—22no—
1797C22—22no—
1798C22—22no—
1799C22—22no—
1800C22—22no—
1801C22—41no—
1802C22—41no—
1803C22—41no—
1804C22—41no—
1805C22—41no—
1806C22—41no—
1807C22—41no—
1808C22—41no—
1809C22—41no—
1810C22—41no—
1811C22—41no—
1812C22—41no—
1813C22—41no—
1814C22—41no—
1815C22—41no—
1816C22—41no—
1817C22—41no—
1818C22—41no—
1819C22—41no—
1820C22—41no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—62no—
1828C22—62no—
1829C22—62no—
1830C22—88no—
1831C22—121no—
1832C22—121no—
1833C22—121no—
1834C22—121no—
1835C22—121no—
1836C22—121no—
1837C22—121no—
1838C22—121no—
1839C22—121no—
1840C22—121no—
1841C22—121no—
1842C22—121no—
1843C22—121no—
1844C22—121no—
1845C22—121no—
1846C22—121no—
1847C22—121no—
1848C22—121no—
1849C22—121no—
1850C22—121no—
1851C22—121no—
1852C22—121no—
1853C22—121no—
1854C22—121no—
1855C22—121no—
1856C22—248no—
1857C22C22×D3×D411yescharacteristic
1858C22C2×#100411yescharacteristic
1859C22C2×#100911yescharacteristic
1860C22D3×H(5,𝔽2)11yescharacteristic
1861C22D3×H(5,𝔽2)11yescharacteristic
1862C22#596611yescharacteristic
1863C22#596611yescharacteristic
1864C4—22no—
1865C4—22no—
1866C4—41no—
1867C4—41no—
1868C4—41no—
1869C4—41no—
1870C4—41no—
1871C4—41no—
1872C4—41no—
1873C4—41no—
1874C4—62no—
1875C4—62no—
1876C4—62no—
1877C4—62no—
1878C4—62no—
1879C4—121no—
1880C4—121no—
1881C4—121no—
1882C4—121no—
1883C4—121no—
1884C4—121no—
1885C4—121no—
1886C3#4195511yescharacteristic, complemented, Sylow
1887C2—42no—
1888C2—42no—
1889C2—42no—
1890C2—81no—
1891C2—81no—
1892C2—122no—
1893C2—241no—
1894C2—241no—
1895C2—241no—
1896C2#8629411yescharacteristic
1897C2#8631111yescharacteristic
1898C2#8642011yescharacteristic
1899C2#8660811yescharacteristic
1900C2#8664811yescharacteristic
1901C2#8666211yescharacteristic
1902C2#8707411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2668C2
hypercenter#2668D3
hypocenterC3#41955
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2668

Complements

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

NH ≅ G/Ntype
1. C2×#5619C2semidirect
2. C2×#5591C2semidirect
3. C3×#2668C2semidirect
4. #82713C2semidirect
5. #82680C2semidirect
6. #82648C2semidirect
7. #82594C2semidirect
8. #82588C2semidirect
9. #82586C2semidirect
10. #78064C2semidirect
11. #78019C2semidirect
12. #77669C2semidirect
13. #77575C2semidirect
14. #77565C2semidirect
15. #77542C2semidirect
16. #77159C2semidirect
17. #77113C2semidirect
18. #77086C2semidirect
19. #76917C2semidirect
20. #76697C2semidirect
21. #76671C2semidirect
22. #74915C2semidirect
23. #74912C2semidirect
24. #74792C2semidirect
25. #74780C2semidirect
26. #74775C2semidirect
27. #74719C2semidirect
28. #74699C2semidirect
29. #74674C2semidirect
30. #73855C2semidirect
31. #73826C2semidirect
36. C2×C3×#121C22semidirect
48. C2×#939C22semidirect
49. C2×#939C22semidirect
50. C2×#939C22semidirect
51. C2×#939C22semidirect
52. C2×#939C22semidirect
55. C2×#938C22semidirect
59. C2×#930C22semidirect
60. C2×#930C22semidirect
61. C2×#930C22semidirect
62. C2×#926C22semidirect
65. C2×#893C22semidirect
66. C2×#893C22semidirect
67. C2×#893C22semidirect
68. C2×#890C22semidirect
71. C2×#886C22semidirect
73. C2×#884C22semidirect
76. C2×#883C22semidirect
80. C2×#67⋊C4C22semidirect
81. C2×#67⋊C4C22semidirect
84. C3×#399C22semidirect
86. C3×#397C22semidirect
88. C3×#394C22semidirect
89. C3×#392C22semidirect
91. C3×#386C22semidirect
92. C3×#386C22semidirect
93. C3×#386C22semidirect
97. #5223C22semidirect
98. #5223C22semidirect
99. #5223C22semidirect
100. #5223C22semidirect
102. #5221C22semidirect
104. #5220C22semidirect
105. #5213C22semidirect
106. #5213C22semidirect
107. C4×#217C22semidirect
108. C2×C3⋊#95C22semidirect
109. #4994C22semidirect
110. #4993C22semidirect
111. #4993C22semidirect
112. #4993C22semidirect
113. #4993C22semidirect
114. #4992C22semidirect
115. #4984C22semidirect
116. #4982C22semidirect
123. #4961C22semidirect
130. #4960C22semidirect
131. #4960C22semidirect
132. #4960C22semidirect
133. #4960C22semidirect
134. #4960C22semidirect
137. #4959C22semidirect
138. #4959C22semidirect
139. #4959C22semidirect
140. #4958C22semidirect
141. #4958C22semidirect
144. #4957C22semidirect
145. #4956C22semidirect
146. #4956C22semidirect
147. #4956C22semidirect
150. #4951C22semidirect
151. #4950C22semidirect
152. #4950C22semidirect
153. #4949C22semidirect
154. #4949C22semidirect
155. #4948C22semidirect
156. #4947C22semidirect
159. #4944C22semidirect
160. #4944C22semidirect
162. #4942C22semidirect
163. #4942C22semidirect
165. Dic3×C22⋊C4C22semidirect
166. #4673C22semidirect
167. #4673C22semidirect
168. #4672C22semidirect
169. #4671C22semidirect
170. #4671C22semidirect
171. #4670C22semidirect
172. #4670C22semidirect
173. #4670C22semidirect
174. #4670C22semidirect
175. #4669C22semidirect
176. #4668C22semidirect
177. #4668C22semidirect
178. #4667C22semidirect
179. #4665C22semidirect
180. #4665C22semidirect
181. #4665C22semidirect
182. #4660C22semidirect
183. #4657C22semidirect
184. #4656C22semidirect
185. #4654C22semidirect
186. #4653C22semidirect
187. #4651C22semidirect
188. #4648C22semidirect
189. #4647C22semidirect
201. #2668D3semidirect
329. D4×Dic3D4semidirect
461. C2×#121C2×D3semidirect
487. #399C2×D3semidirect
493. #397C2×D3semidirect
512. #394C2×D3semidirect
535. #392C2×D3semidirect
567. #386C2×D3semidirect
568. #386C2×D3semidirect
569. #386C2×D3semidirect
1886. C3#41955semidirect

Maximal subgroups

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

subgroupindex
C2×#56192
C2×#55912
C3×#26682
#827132
#826802
#826482
#825942
#825882
#825862
#780642
#780192
#776692
#775752
#775652
#775422
#771592
#771132
#770862
#769172
#766972
#766712
#749152
#749122
#747922
#747802
#747752
#747192
#746992
#746742
#738552
#738262
#419553