Finite Group Databasebeta

← #10974368

Subgroups — #10974368

Order 768.

2802 conjugacy classes of subgroups.

The subgroup lattice has 1714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5627C211yesmaximal, characteristic, complemented
2C2×#5523C211yesmaximal, characteristic, complemented
3C3×#2438C211yesmaximal, characteristic, complemented
4#82764C211yesmaximal, characteristic, complemented
5#82275C211yesmaximal, characteristic, complemented
6#78203C211yesmaximal, characteristic, complemented
7#78140C211yesmaximal, characteristic, complemented
8#77960C211yesmaximal, characteristic, complemented
9#77951C211yesmaximal, characteristic, complemented
10#77815C211yesmaximal, characteristic, complemented
11#77760C211yesmaximal, characteristic, complemented
12#77252C211yesmaximal, characteristic, complemented
13#77249C211yesmaximal, characteristic, complemented
14#76618C211yesmaximal, characteristic, complemented
15#76514C211yesmaximal, characteristic, complemented
16#76226C211yesmaximal, characteristic, complemented
17#76075C211yesmaximal, characteristic, complemented
18#75372C211yesmaximal, characteristic, complemented
19#75323C211yesmaximal, characteristic, complemented
20#75125C211yesmaximal, characteristic, complemented
21#74989C211yesmaximal, characteristic, complemented
22#74605C211yesmaximal, characteristic, complemented
23#74418C211yesmaximal, characteristic, complemented
24#74383C211yesmaximal, characteristic, complemented
25#74379C211yesmaximal, characteristic, complemented
26#74125C211yesmaximal, characteristic, complemented
27#74056C211yesmaximal, characteristic, complemented
28#74021C211yesmaximal, characteristic, complemented
29#73873C211yesmaximal, characteristic, complemented
30#73376C211yesmaximal, characteristic, complemented
31C2×#4668C211yesmaximal, characteristic, complemented
32#35353—31nomaximal, Sylow
33C22×#239C2211yescharacteristic
34C22×#235C2211yescharacteristic
35C23×C4×D3C2211yescharacteristic
36C2×C3×C22⋊Q8C2211yescharacteristic
37C2×C3×#117C2211yescharacteristic
38C2×#946C2211yescharacteristic
39C2×#946C2211yescharacteristic, complemented
40C2×#930C2211yescharacteristic
41C2×#930C2211yescharacteristic
42C2×#929C2211yescharacteristic
43C22×(C2×D3)⋊C4C2211yescharacteristic
44C22×(C2×D3)⋊C4C2211yescharacteristic
45C22×C4⋊Dic3C2211yescharacteristic
46C22×Dic3⋊C4C2211yescharacteristic
47#5627—28no—
48#5523—28no—
49C2×#895C2211yescharacteristic
50C2×#895C2211yescharacteristic
51C2×#894C2211yescharacteristic
52C2×#894C2211yescharacteristic
53C2×#894C2211yescharacteristic
54C2×#894C2211yescharacteristic, complemented
55C2×#893C2211yescharacteristic
56C2×#893C2211yescharacteristic
57C2×#893C2211yescharacteristic
58C2×#893C2211yescharacteristic
59C2×#892C2211yescharacteristic
60C2×#892C2211yescharacteristic, complemented
61C2×#892C2211yescharacteristic, complemented
62C2×D3×C4⋊C4C2211yescharacteristic, complemented
63C2×D3×C4⋊C4C2211yescharacteristic, complemented
64C2×#882C2211yescharacteristic
65C2×#882C2211yescharacteristic
66C2×#882C2211yescharacteristic
67C2×#67⋊C4C2211yescharacteristic
68C2×#67⋊C4C2211yescharacteristic
69C2×#67⋊C4C2211yescharacteristic
70C2×#67⋊C4C2211yescharacteristic
71C2×#67⋊C4C2211yescharacteristic
72C2×C4×D12C2211yescharacteristic, complemented
73C2×C4×D12C2211yescharacteristic, complemented
74C2×C4×Dic6C2211yescharacteristic, complemented
75C2×C4×Dic6C2211yescharacteristic, complemented
76C3×#400C2211yescharacteristic, complemented
77C3×#398C2211yescharacteristic, complemented
78C3×#398C2211yescharacteristic, complemented
79C3×#395C2211yescharacteristic, complemented
80C3×#391C2211yescharacteristic, complemented
81C3×#389C2211yescharacteristic, complemented
82C3×#387C2211yescharacteristic, complemented
83C3×#387C2211yescharacteristic, complemented
84C3×#385C2211yescharacteristic
85C3×#385C2211yescharacteristic
86C3×#381C2211yescharacteristic
87C3×#380C2211yescharacteristic
88C2×C3×#95C2211yescharacteristic
89#5230C2211yescharacteristic, complemented
90#5213C2211yescharacteristic
91#5213C2211yescharacteristic
92C2×C3⋊#95C2211yescharacteristic
93#4994C2211yescharacteristic
94#4994C2211yescharacteristic
95#4994C2211yescharacteristic
96#4994C2211yescharacteristic, complemented
97#4993C2211yescharacteristic
98#4993C2211yescharacteristic, complemented
99#4993C2211yescharacteristic, complemented
100#4991C2211yescharacteristic
101#4991C2211yescharacteristic
102#4991C2211yescharacteristic
103#4991C2211yescharacteristic
104#4990C2211yescharacteristic
105#4990C2211yescharacteristic, complemented
106#4990C2211yescharacteristic, complemented
107#4990C2211yescharacteristic, complemented
108#4989C2211yescharacteristic
109#4989C2211yescharacteristic
110#4989C2211yescharacteristic, complemented
111#4989C2211yescharacteristic, complemented
112#4989C2211yescharacteristic, complemented
113#4989C2211yescharacteristic, complemented
114#4988C2211yescharacteristic
115#4987C2211yescharacteristic, complemented
116#4982C2211yescharacteristic, complemented
117#4982C2211yescharacteristic, complemented
118#4978C2211yescharacteristic, complemented
119#4978C2211yescharacteristic, complemented
120#4977C2211yescharacteristic, complemented
121#4972C2211yescharacteristic, complemented
122#4958C2211yescharacteristic
123#4958C2211yescharacteristic
124#4958C2211yescharacteristic
125#4958C2211yescharacteristic
126#4955C2211yescharacteristic
127#4950C2211yescharacteristic
128#4946C2211yescharacteristic
129Dic3×C22⋊C4C2211yescharacteristic
130#4940C2211yescharacteristic
131#4940C2211yescharacteristic
132#4939C2211yescharacteristic
133#4939C2211yescharacteristic
134#4675C2211yescharacteristic
135#4675C2211yescharacteristic, complemented
136#4673C2211yescharacteristic
137#4673C2211yescharacteristic
138#4673C2211yescharacteristic, complemented
139#4672C2211yescharacteristic
140#4672C2211yescharacteristic
141#4672C2211yescharacteristic, complemented
142#4672C2211yescharacteristic, complemented
143#4671C2211yescharacteristic
144#4671C2211yescharacteristic
145#4671C2211yescharacteristic
146#4671C2211yescharacteristic, complemented
147#4670C2211yescharacteristic
148#4670C2211yescharacteristic, complemented
149#4670C2211yescharacteristic, complemented
150#4670C2211yescharacteristic, complemented
151#4669C2211yescharacteristic
152#4669C2211yescharacteristic, complemented
153#4668C2211yescharacteristic
154#4668C2211yescharacteristic
155#4668C2211yescharacteristic
156#4668C2211yescharacteristic
157#4668C2211yescharacteristic
158#4668C2211yescharacteristic
159#4668C2211yescharacteristic
160#4668C2211yescharacteristic
161#4668C2211yescharacteristic, complemented
162#4668C2211yescharacteristic, complemented
163#4668C2211yescharacteristic, complemented
164#4668C2211yescharacteristic, complemented
165#4666C2211yescharacteristic
166#4666C2211yescharacteristic
167#4665C2211yescharacteristic
168#4665C2211yescharacteristic
169#4665C2211yescharacteristic
170#4665C2211yescharacteristic
171#4665C2211yescharacteristic
172#4665C2211yescharacteristic
173#4665C2211yescharacteristic
174#4665C2211yescharacteristic
175#4665C2211yescharacteristic, complemented
176#4665C2211yescharacteristic, complemented
177#4665C2211yescharacteristic, complemented
178#4665C2211yescharacteristic, complemented
179#4664C2211yescharacteristic, complemented
180#4656C2211yescharacteristic, complemented
181#4655C2211yescharacteristic, complemented
182#4655C2211yescharacteristic, complemented
183#4655C2211yescharacteristic, complemented
184#4655C2211yescharacteristic, complemented
185#4654C2211yescharacteristic, complemented
186#4654C2211yescharacteristic, complemented
187#4651C2211yescharacteristic, complemented
188#4647C2211yescharacteristic, complemented
189#4647C2211yescharacteristic, complemented
190C2×#525—31no—
191C2×#520—31no—
192#2609—31no—
193#2600—31no—
194#2599—31no—
195#2598—31no—
196#2580—31no—
197#2579—31no—
198#2476—31no—
199#2470—31no—
200#2465—31no—
201#2458—31no—
202#2456—31no—
203#2455—31no—
204#2449—31no—
205#2449—31no—
206#2443—31no—
207#2443—31no—
208#2438D311yescharacteristic, complemented
209#2430—31no—
210#2424—31no—
211#2418—31no—
212#2411—31no—
213#2407—31no—
214#2406—31no—
215#2404—31no—
216#2325—31no—
217#2322—31no—
218#2318—31no—
219C4×#120—31no—
220C2×#385—31no—
221C24×D3C2311yescharacteristic
222C22×C3×Q8C2311yescharacteristic
223C23×C3×C4C2311yescharacteristic
224C23×C3×C4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C22×#67C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C23×Dic3C2311yescharacteristic
230C23×Dic3C2311yescharacteristic
231C23×Dic3C2311yescharacteristic
232C2×#239—24no—
233C2×#239—42no—
234C2×#239—42no—
235C2×#235—24no—
236C2×#235—24no—
237C2×#235—24no—
238C22×D12C2311yescharacteristic
239C22×D12C2311yescharacteristic
240C22×D12C2311yescharacteristic
241C22×D12C2311yescharacteristic
242C22×D12C2311yescharacteristic
243C22×D12C2311yescharacteristic
244C22×D12C2311yescharacteristic
245C22×D12C2311yescharacteristic
246C22×D12C2311yescharacteristic
247C22×C4×D3—24no—
248C22×C4×D3—42no—
249C22×C4×D3—42no—
250C22×C4×D3C2311yescharacteristic
251C22×C4×D3C2311yescharacteristic
252C22×C4×D3C2311yescharacteristic
253C22×C4×D3C2311yescharacteristic
254C22×C4×D3C2311yescharacteristic
255C22×C4×D3C2311yescharacteristic
256C22×C4×D3C2311yescharacteristic
257C22×C4×D3C2311yescharacteristic
258C22×C4×D3C2311yescharacteristic
259C22×C4×D3C2311yescharacteristic
260C22×C4×D3C2311yescharacteristic
261C22×Dic6C2311yescharacteristic
262C3×C22⋊Q8—24no—
263C3×#117—24no—
264C2×C3×C4⋊C4C2311yescharacteristic
265C2×C3×C4⋊C4C2311yescharacteristic
266C2×C3×C4⋊C4C2311yescharacteristic
267C2×C3×C4⋊C4C2311yescharacteristic
268C2×C3×C4⋊C4C2311yescharacteristic
269C2×C3×C4⋊C4C2311yescharacteristic
270C2×C3×C4⋊C4C2311yescharacteristic
271C2×C3×C4⋊C4C2311yescharacteristic
272C2×C3×C4⋊C4C2311yescharacteristic
273C2×C3×C4⋊C4C2311yescharacteristic
274C2×C3×C4⋊C4C2311yescharacteristic
275C2×C3×C22⋊C4C2311yescharacteristic
276C2×C3×C22⋊C4C2311yescharacteristic
277C2×C3×C22⋊C4C2311yescharacteristic
278C2×C3×C22⋊C4C2311yescharacteristic
279C2×C3×C42C2311yescharacteristic
280C2×C3×C42C2311yescharacteristic
281C2×#217C2311yescharacteristic
282#946—24no—
283#946—42no—
284#930—24no—
285#930—24no—
286#929—24no—
287C2×(C2×D3)⋊C4—24no—
288C2×(C2×D3)⋊C4—42no—
289C2×(C2×D3)⋊C4C2311yescharacteristic
290C2×(C2×D3)⋊C4C2311yescharacteristic
291C2×(C2×D3)⋊C4C2311yescharacteristic
292C2×(C2×D3)⋊C4C2311yescharacteristic
293C2×(C2×D3)⋊C4C2311yescharacteristic
294C2×(C2×D3)⋊C4C2311yescharacteristic
295C2×(C2×D3)⋊C4C2311yescharacteristic
296C2×(C2×D3)⋊C4C2311yescharacteristic
297C2×(C2×D3)⋊C4C2311yescharacteristic
298C2×(C2×D3)⋊C4C2311yescharacteristic
299C2×(C2×D3)⋊C4C2311yescharacteristic
300C2×(C2×D3)⋊C4C2311yescharacteristic
301C2×(C2×D3)⋊C4C2311yescharacteristic
302C2×(C2×D3)⋊C4C2311yescharacteristic
303C2×(C2×D3)⋊C4C2311yescharacteristic
304C2×(C2×D3)⋊C4C2311yescharacteristic
305C2×(C2×D3)⋊C4C2311yescharacteristic
306C2×(C2×D3)⋊C4C2311yescharacteristic
307C2×(C2×D3)⋊C4C2311yescharacteristic
308C2×(C2×D3)⋊C4C2311yescharacteristic
309C2×(C2×D3)⋊C4C2311yescharacteristic
310C2×(C2×D3)⋊C4C2311yescharacteristic
311C2×(C2×D3)⋊C4C2311yescharacteristic
312C2×(C2×D3)⋊C4C2311yescharacteristic
313C2×(C2×D3)⋊C4C2311yescharacteristic
314C2×(C2×D3)⋊C4C2311yescharacteristic
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×C4⋊Dic3—24no—
331C2×C4⋊Dic3C2311yescharacteristic
332C2×C4⋊Dic3C2311yescharacteristic
333C2×C4⋊Dic3C2311yescharacteristic
334C2×C4⋊Dic3C2311yescharacteristic
335C2×C4⋊Dic3C2311yescharacteristic
336C2×C4⋊Dic3C2311yescharacteristic
337C2×C4⋊Dic3C2311yescharacteristic
338C2×C4⋊Dic3C2311yescharacteristic
339C2×Dic3⋊C4—42no—
340C2×Dic3⋊C4C2311yescharacteristic
341C2×Dic3⋊C4C2311yescharacteristic
342C2×Dic3⋊C4C2311yescharacteristic
343C2×Dic3⋊C4C2311yescharacteristic
344C2×Dic3⋊C4C2311yescharacteristic
345C2×Dic3⋊C4C2311yescharacteristic
346C2×Dic3⋊C4C2311yescharacteristic
347C2×Dic3⋊C4C2311yescharacteristic
348C2×Dic3⋊C4C2311yescharacteristic
349C2×Dic3⋊C4C2311yescharacteristic
350C2×Dic3⋊C4C2311yescharacteristic
351C2×Dic3⋊C4C2311yescharacteristic
352C2×Dic3⋊C4C2311yescharacteristic
353C2×C4×Dic3C2311yescharacteristic
354C2×C4×Dic3C2311yescharacteristic
355C2×C4×Dic3C2311yescharacteristic
356C2×C4×Dic3C2311yescharacteristic
357C2×C4×Dic3C2311yescharacteristic
358C2×C4×Dic3C2311yescharacteristic
359C2×C4×Dic3C2311yescharacteristic
360#895—24no—
361#895—42no—
362#894—24no—
363#894—24no—
364#894—42no—
365#894—42no—
366#893—24no—
367#893—24no—
368#893—42no—
369#893—42no—
370#892—24no—
371#892—24no—
372#892—24no—
373D3×C4⋊C4—24no—
374D3×C4⋊C4—24no—
375#882—24no—
376#882—24no—
377#882—24no—
378#67⋊C4—24no—
379#67⋊C4—24no—
380#67⋊C4—24no—
381#67⋊C4—24no—
382#67⋊C4D418yescomplemented
383C4×D12—24no—
384C4×D12—24no—
385C4×Dic6—24no—
386C4×Dic6—24no—
387C3×#95C2311yescharacteristic
388C3×#95C2311yescharacteristic
389C3×#95C2311yescharacteristic
390C3×#95C2311yescharacteristic
391C3×#95C2311yescharacteristic
392C3×#95C2311yescharacteristic
393C3×#95C2311yescharacteristic
394C3×#95C2311yescharacteristic
395C3×#95C2311yescharacteristic
396C3×#95C2311yescharacteristic
397C3×#95C2311yescharacteristic
398C3×#95C2311yescharacteristic
399C3×#95C2311yescharacteristic
400C3×#95C2311yescharacteristic
401C3⋊#95C2311yescharacteristic
402C3⋊#95C2311yescharacteristic
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
423C22×#41—31no—
424C22×#41—31no—
425C24×C4—31no—
426#525—68no—
427C2×#123—31no—
428C2×#123—31no—
429C2×#123—31no—
430C2×#123—31no—
431C2×#123—31no—
432C2×C22⋊Q8—31no—
433C2×C22⋊Q8—31no—
434C2×C22⋊Q8C2×D311yescharacteristic
435C2×#121—31no—
436C2×#121—31no—
437C2×#121—31no—
438C2×#121—31no—
439C2×#120—31no—
440C2×#120—31no—
441C2×#120—31no—
442#520—68no—
443C2×C4×Q8—31no—
444C2×C4×Q8—31no—
445C2×C4×D4—31no—
446C2×C4×D4—31no—
447C2×C4×D4—31no—
448C2×C4×D4—31no—
449C2×C4×D4—31no—
450C2×C4×D4—31no—
451C2×C4×D4—31no—
452C2×C4×D4—31no—
453C2×C4×D4—31no—
454C2×C4×D4—31no—
455C2×C4×D4—31no—
456C2×#117—31no—
457C2×#117—31no—
458C2×#117—31no—
459C2×#117C2×D311yescharacteristic
460C22×C4⋊C4—31no—
461C22×C4⋊C4—31no—
462C22×C4⋊C4—31no—
463C22×C4⋊C4—31no—
464C22×C22⋊C4—31no—
465C22×C22⋊C4—31no—
466#400C2×D311yescharacteristic, complemented
467#399—31no—
468#399—31no—
469#399—31no—
470#398—31no—
471#398—31no—
472#398C2×D311yescharacteristic, complemented
473#398C2×D311yescharacteristic, complemented
474#397—31no—
475#397—31no—
476#396—31no—
477#396—31no—
478#396—31no—
479#396—31no—
480#395—31no—
481#395—31no—
482#395C2×D311yescharacteristic, complemented
483#394—31no—
484#394—31no—
485#394—31no—
486#394—31no—
487#394—31no—
488#394—31no—
489#394—31no—
490#394—31no—
491#393—31no—
492#393—31no—
493#393—31no—
494#392—31no—
495#392—31no—
496#392—31no—
497#392—31no—
498#391C2×D311yescharacteristic, complemented
499#390—31no—
500#390—31no—
501#390—31no—
502#389—31no—
503#389—31no—
504#389—31no—
505#389C2×D311yescharacteristic, complemented
506#388—31no—
507#388—31no—
508#388—31no—
509#388—31no—
510#388—31no—
511#388—31no—
512#388—31no—
513#388—31no—
514#388—31no—
515#388—31no—
516#388—31no—
517#388—31no—
518#387—31no—
519#387—31no—
520#387—31no—
521#387—31no—
522#387—31no—
523#387—31no—
524#387—31no—
525#387—31no—
526#387C2×D311yescharacteristic, complemented
527#387C2×D311yescharacteristic, complemented
528#386—31no—
529#386—31no—
530#386—31no—
531#386—31no—
532#386—31no—
533#386—31no—
534#386—31no—
535#386—31no—
536#386—31no—
537#386—31no—
538#386—31no—
539#386—31no—
540#386—31no—
541#386—31no—
542#386—31no—
543#386—31no—
544#386—31no—
545#386—31no—
546#385—31no—
547#385—31no—
548#385—31no—
549#385—31no—
550#385—31no—
551#385—31no—
552#385—31no—
553#385—31no—
554#385—31no—
555#385—31no—
556#385—31no—
557#385—31no—
558#385—31no—
559#385—31no—
560#385—31no—
561#385—31no—
562#385—31no—
563#385—31no—
564#385—31no—
565#385—31no—
566#385C2×D311yescharacteristic
567#385C2×D311yescharacteristic
568#383—31no—
569#382—31no—
570#381—31no—
571#381C2×D311yescharacteristic
572#380—31no—
573#380C2×D311yescharacteristic
574#379—31no—
575C4×C22⋊C4—31no—
576C4×C22⋊C4—31no—
577C4×C22⋊C4—31no—
578C2×#95—31no—
579C2×#95C2×D311yescharacteristic
580C24×C3C2411yescharacteristic
581C23×D3—22no—
582C23×D3—22no—
583C23×D3—22no—
584C23×D3—22no—
585C23×D3—22no—
586C23×D3—41no—
587C23×D3—41no—
588C23×D3C2411yescharacteristic
589C23×D3C2411yescharacteristic
590C23×D3C2411yescharacteristic
591C23×D3C2411yescharacteristic
592C23×D3C2411yescharacteristic
593C2×C3×Q8—22no—
594C2×C3×Q8—22no—
595C2×C3×Q8—41no—
596C22×C3×C4—22no—
597C22×C3×C4—22no—
598C22×C3×C4—22no—
599C22×C3×C4—22no—
600C22×C3×C4—22no—
601C22×C3×C4—41no—
602C22×C3×C4—41no—
603C22×C3×C4—41no—
604C22×C3×C4#4114yescomplemented
605C22×C3×C4C2411yescharacteristic
606C22×C3×C4C2411yescharacteristic
607C22×C3×C4C2411yescharacteristic
608C22×C3×C4C2411yescharacteristic
609C22×C3×C4C2411yescharacteristic
610C22×C3×C4C2411yescharacteristic
611C22×C3×C4C2411yescharacteristic
612C22×C3×C4C2411yescharacteristic
613C22×C3×C4C2411yescharacteristic
614C22×C3×C4C2411yescharacteristic
615C22×C3×C4C2411yescharacteristic
616C22×C3×C4C2411yescharacteristic
617C22×C3×C4C2411yescharacteristic
618C22×C3×C4C2411yescharacteristic
619C2×#67—22no—
620C2×#67—22no—
621C2×#67—22no—
622C2×#67—22no—
623C2×#67—22no—
624C2×#67—22no—
625C2×#67—22no—
626C2×#67C2×D414yes—
627C2×#67#4114yescomplemented
628C22×Dic3—22no—
629C22×Dic3—22no—
630C22×Dic3—41no—
631C22×Dic3—41no—
632C22×Dic3—41no—
633C22×Dic3—41no—
634C22×Dic3—41no—
635C22×Dic3—41no—
636C22×Dic3C2×D414yes—
637C22×Dic3C2411yescharacteristic
638C22×Dic3C2411yescharacteristic
639C22×Dic3C2411yescharacteristic
640C22×Dic3C2411yescharacteristic
641C22×Dic3C2411yescharacteristic
642C22×Dic3C2411yescharacteristic
643C22×Dic3C2411yescharacteristic
644C22×Dic3C2411yescharacteristic
645C22×Dic3C2411yescharacteristic
646C22×Dic3C2411yescharacteristic
647C22×Dic3C2411yescharacteristic
648#239—416no—
649#235—232no—
650C2×D12—22no—
651C2×D12—22no—
652C2×D12—22no—
653C2×D12—22no—
654C2×D12—22no—
655C2×D12—22no—
656C2×D12—22no—
657C2×D12—22no—
658C2×D12—22no—
659C2×D12—22no—
660C2×D12—22no—
661C2×D12—22no—
662C2×D12—22no—
663C2×D12—22no—
664C2×D12—22no—
665C2×D12—22no—
666C2×D12—22no—
667C2×D12—22no—
668C2×D12—41no—
669C2×D12—41no—
670C2×D12—41no—
671C2×D12—41no—
672C2×D12—41no—
673C2×D12—41no—
674C2×D12—41no—
675C2×D12—41no—
676C2×D12—41no—
677C2×C4×D3—22no—
678C2×C4×D3—22no—
679C2×C4×D3—22no—
680C2×C4×D3—22no—
681C2×C4×D3—22no—
682C2×C4×D3—22no—
683C2×C4×D3—22no—
684C2×C4×D3—22no—
685C2×C4×D3—22no—
686C2×C4×D3—22no—
687C2×C4×D3—22no—
688C2×C4×D3—22no—
689C2×C4×D3—22no—
690C2×C4×D3—22no—
691C2×C4×D3—22no—
692C2×C4×D3—22no—
693C2×C4×D3—22no—
694C2×C4×D3—22no—
695C2×C4×D3—416no—
696C2×C4×D3—41no—
697C2×C4×D3—41no—
698C2×C4×D3—41no—
699C2×C4×D3—41no—
700C2×C4×D3—41no—
701C2×C4×D3—41no—
702C2×C4×D3—41no—
703C2×C4×D3—41no—
704C2×C4×D3—41no—
705C2×C4×D3—41no—
706C2×C4×D3—41no—
707C2×C4×D3—41no—
708C2×C4×D3—41no—
709C2×C4×D3—41no—
710C2×C4×D3C2×D414yes—
711C2×Dic6—22no—
712C2×Dic6—22no—
713C2×Dic6—22no—
714C3×C4⋊C4—22no—
715C3×C4⋊C4—22no—
716C3×C4⋊C4—22no—
717C3×C4⋊C4—22no—
718C3×C4⋊C4—22no—
719C3×C4⋊C4—22no—
720C3×C4⋊C4—41no—
721C3×C4⋊C4—41no—
722C3×C4⋊C4—41no—
723C3×C4⋊C4—41no—
724C3×C4⋊C4—41no—
725C3×C22⋊C4—22no—
726C3×C22⋊C4—22no—
727C3×C22⋊C4—22no—
728C3×C22⋊C4C2×D414yes—
729C3×C42—22no—
730C3×C42—22no—
731#217—22no—
732(C2×D3)⋊C4—22no—
733(C2×D3)⋊C4—22no—
734(C2×D3)⋊C4—22no—
735(C2×D3)⋊C4—22no—
736(C2×D3)⋊C4—22no—
737(C2×D3)⋊C4—22no—
738(C2×D3)⋊C4—22no—
739(C2×D3)⋊C4—22no—
740(C2×D3)⋊C4—22no—
741(C2×D3)⋊C4—22no—
742(C2×D3)⋊C4—22no—
743(C2×D3)⋊C4—22no—
744(C2×D3)⋊C4—22no—
745(C2×D3)⋊C4—22no—
746(C2×D3)⋊C4—22no—
747(C2×D3)⋊C4—22no—
748(C2×D3)⋊C4—22no—
749(C2×D3)⋊C4—22no—
750(C2×D3)⋊C4—22no—
751(C2×D3)⋊C4—22no—
752(C2×D3)⋊C4—22no—
753(C2×D3)⋊C4—22no—
754(C2×D3)⋊C4—22no—
755(C2×D3)⋊C4—22no—
756(C2×D3)⋊C4—22no—
757(C2×D3)⋊C4—41no—
758(C2×D3)⋊C4—41no—
759(C2×D3)⋊C4—41no—
760(C2×D3)⋊C4—41no—
761(C2×D3)⋊C4—41no—
762(C2×D3)⋊C4—41no—
763(C2×D3)⋊C4—41no—
764(C2×D3)⋊C4—41no—
765(C2×D3)⋊C4—41no—
766(C2×D3)⋊C4—41no—
767(C2×D3)⋊C4—41no—
768(C2×D3)⋊C4—41no—
769(C2×D3)⋊C4—41no—
770(C2×D3)⋊C4—41no—
771(C2×D3)⋊C4—41no—
772(C2×D3)⋊C4C2×D414yes—
773C4⋊Dic3—22no—
774C4⋊Dic3—22no—
775C4⋊Dic3—22no—
776C4⋊Dic3—22no—
777C4⋊Dic3—22no—
778C4⋊Dic3—22no—
779C4⋊Dic3—41no—
780C4⋊Dic3—41no—
781Dic3⋊C4—22no—
782Dic3⋊C4—22no—
783Dic3⋊C4—22no—
784Dic3⋊C4—22no—
785Dic3⋊C4—22no—
786Dic3⋊C4—22no—
787Dic3⋊C4—22no—
788Dic3⋊C4—22no—
789Dic3⋊C4—41no—
790Dic3⋊C4—41no—
791Dic3⋊C4—41no—
792Dic3⋊C4—41no—
793Dic3⋊C4C2×D414yes—
794C4×Dic3—22no—
795C4×Dic3—22no—
796C4×Dic3—22no—
797C4×Dic3—22no—
798C4×Dic3—41no—
799C4×Dic3—41no—
800C4×Dic3C2×D414yes—
801C25—31no—
802C2×#41—64no—
803C2×#41—64no—
804C2×#41—64no—
805C2×#41—64no—
806C2×#41—122no—
807C2×#41—122no—
808C22×Q8—31no—
809C22×Q8C22×D311yescharacteristic
810C22×D4—31no—
811C22×D4—31no—
812C22×D4—31no—
813C22×D4—31no—
814C22×D4—31no—
815C22×D4—31no—
816C22×D4—31no—
817C22×D4—31no—
818C22×D4—31no—
819C22×D4—31no—
820C22×D4—31no—
821C22×D4—31no—
822C23×C4—31no—
823C23×C4—31no—
824C23×C4—31no—
825C23×C4—31no—
826C23×C4—31no—
827C23×C4—31no—
828C23×C4—31no—
829C23×C4—31no—
830C23×C4—31no—
831C23×C4—31no—
832C23×C4—31no—
833C23×C4—31no—
834C23×C4—31no—
835C23×C4—31no—
836C23×C4—64no—
837C23×C4—122no—
838C23×C4—122no—
839C23×C4C22×D311yescharacteristic
840C23×C4C22×D311yescharacteristic
841C23×C4C22×D311yescharacteristic
842#123—64no—
843#123—64no—
844#123—64no—
845#123—122no—
846#123—122no—
847C22⋊Q8—24no—
848C22⋊Q8—64no—
849C22⋊Q8—122no—
850#121—64no—
851#121—64no—
852#121—64no—
853#121—122no—
854#120—64no—
855#120—64no—
856#120—64no—
857C4×Q8—64no—
858C4×Q8—64no—
859C4×D4—38no—
860C4×D4—64no—
861C4×D4—64no—
862C4×D4—64no—
863C4×D4—64no—
864C4×D4—64no—
865C4×D4—64no—
866C4×D4—64no—
867C4×D4—64no—
868C4×D4—122no—
869C4×D4—122no—
870#117—24no—
871#117—64no—
872#117—64no—
873#117—64no—
874C2×C4⋊C4—31no—
875C2×C4⋊C4—31no—
876C2×C4⋊C4—31no—
877C2×C4⋊C4—31no—
878C2×C4⋊C4—31no—
879C2×C4⋊C4—31no—
880C2×C4⋊C4—31no—
881C2×C4⋊C4—31no—
882C2×C4⋊C4—31no—
883C2×C4⋊C4—31no—
884C2×C4⋊C4—31no—
885C2×C4⋊C4—31no—
886C2×C4⋊C4—31no—
887C2×C4⋊C4—31no—
888C2×C4⋊C4—31no—
889C2×C4⋊C4—31no—
890C2×C4⋊C4—31no—
891C2×C4⋊C4—31no—
892C2×C4⋊C4—31no—
893C2×C4⋊C4—31no—
894C2×C4⋊C4—31no—
895C2×C4⋊C4—64no—
896C2×C4⋊C4—64no—
897C2×C4⋊C4—64no—
898C2×C4⋊C4—122no—
899C2×C4⋊C4C22×D311yescharacteristic
900C2×C4⋊C4C22×D311yescharacteristic
901C2×C4⋊C4C22×D311yescharacteristic
902C2×C4⋊C4C22×D311yescharacteristic
903C2×C4⋊C4C22×D311yescharacteristic
904C2×C4⋊C4C22×D311yescharacteristic
905C2×C4⋊C4C22×D311yescharacteristic
906C2×C4⋊C4C22×D311yescharacteristic
907C2×C4⋊C4C22×D311yescharacteristic
908C2×C4⋊C4C22×D311yescharacteristic
909C2×C4⋊C4C22×D311yescharacteristic
910C2×C22⋊C4—31no—
911C2×C22⋊C4—31no—
912C2×C22⋊C4—31no—
913C2×C22⋊C4—31no—
914C2×C22⋊C4—31no—
915C2×C22⋊C4—31no—
916C2×C22⋊C4—31no—
917C2×C22⋊C4—31no—
918C2×C22⋊C4—31no—
919C2×C22⋊C4—31no—
920C2×C22⋊C4—31no—
921C2×C22⋊C4—31no—
922C2×C22⋊C4—31no—
923C2×C22⋊C4—31no—
924C2×C22⋊C4—31no—
925C2×C22⋊C4—31no—
926C2×C22⋊C4—31no—
927C2×C22⋊C4—31no—
928C2×C22⋊C4—31no—
929C2×C22⋊C4—31no—
930C2×C22⋊C4—31no—
931C2×C22⋊C4—31no—
932C2×C22⋊C4—31no—
933C2×C22⋊C4—31no—
934C2×C22⋊C4—31no—
935C2×C22⋊C4—31no—
936C2×C22⋊C4—31no—
937C2×C22⋊C4—31no—
938C2×C22⋊C4—31no—
939C2×C22⋊C4—31no—
940C2×C22⋊C4—31no—
941C2×C22⋊C4—31no—
942C2×C22⋊C4—31no—
943C2×C22⋊C4—31no—
944C2×C22⋊C4—31no—
945C2×C22⋊C4—31no—
946C2×C22⋊C4—31no—
947C2×C22⋊C4—31no—
948C2×C22⋊C4—31no—
949C2×C22⋊C4—31no—
950C2×C22⋊C4—31no—
951C2×C22⋊C4—31no—
952C2×C22⋊C4—64no—
953C2×C22⋊C4—122no—
954C2×C22⋊C4C22×D311yescharacteristic
955C2×C22⋊C4C22×D311yescharacteristic
956C2×C22⋊C4C22×D311yescharacteristic
957C2×C22⋊C4C22×D311yescharacteristic
958C2×C42—31no—
959C2×C42—31no—
960C2×C42—31no—
961C2×C42—31no—
962C2×C42—31no—
963C2×C42—31no—
964C2×C42—31no—
965C2×C42C22×D311yescharacteristic
966C2×C42C22×D311yescharacteristic
967#95—31no—
968#95—31no—
969#95—31no—
970#95—31no—
971#95—31no—
972#95—31no—
973#95—31no—
974#95—31no—
975#95—31no—
976#95—31no—
977#95—31no—
978#95—31no—
979#95—31no—
980#95—31no—
981#95—31no—
982#95—31no—
983#95—31no—
984#95—31no—
985#95—31no—
986#95—31no—
987#95—31no—
988#95—31no—
989#95C22×D311yescharacteristic
990#95C22×D311yescharacteristic
991#95C22×D311yescharacteristic
992#95C22×D311yescharacteristic
993#95C22×D311yescharacteristic
994#95C22×D311yescharacteristic
995#95C22×D311yescharacteristic
996#95C22×D311yescharacteristic
997#95C22×D311yescharacteristic
998#95C22×D311yescharacteristic
999#95C22×D311yescharacteristic
1000#95C22×D311yescharacteristic
1001#95C22×D311yescharacteristic
1002#95C22×D311yescharacteristic
1003C23×C3—21no—
1004C23×C3—21no—
1005C23×C3—21no—
1006C23×C3—21no—
1007C23×C3C22×D412yes—
1008C23×C3C2×#4112yes—
1009C23×C3C2×#4112yes—
1010C23×C3C2511yescharacteristic
1011C22×D3—28no—
1012C22×D3—21no—
1013C22×D3—21no—
1014C22×D3—21no—
1015C22×D3—21no—
1016C22×D3—21no—
1017C22×D3—21no—
1018C22×D3—21no—
1019C22×D3—21no—
1020C22×D3—21no—
1021C22×D3—21no—
1022C22×D3—21no—
1023C22×D3—21no—
1024C22×D3—21no—
1025C22×D3—21no—
1026C22×D3—21no—
1027C22×D3—21no—
1028C22×D3—21no—
1029C22×D3—21no—
1030C22×D3—21no—
1031C22×D3—21no—
1032C22×D3—21no—
1033C22×D3—21no—
1034C22×D3—21no—
1035C22×D3—21no—
1036C22×D3—21no—
1037C22×D3—21no—
1038C22×D3—21no—
1039C22×D3—21no—
1040C22×D3—21no—
1041C22×D3—21no—
1042C22×D3—21no—
1043C22×D3—44no—
1044C22×D3—44no—
1045C22×D3—44no—
1046C22×D3—44no—
1047C22×D3—44no—
1048C22×D3—44no—
1049C22×D3C22×D412yes—
1050C22×D3C2×#4112yes—
1051C22×D3H(5,𝔽2)12yes—
1052C22×D32−1+412yes—
1053C3×Q8—44no—
1054C2×C3×C4—28no—
1055C2×C3×C4—21no—
1056C2×C3×C4—21no—
1057C2×C3×C4—21no—
1058C2×C3×C4—21no—
1059C2×C3×C4—21no—
1060C2×C3×C4—21no—
1061C2×C3×C4—21no—
1062C2×C3×C4—21no—
1063C2×C3×C4—21no—
1064C2×C3×C4—21no—
1065C2×C3×C4—21no—
1066C2×C3×C4—21no—
1067C2×C3×C4—21no—
1068C2×C3×C4—21no—
1069C2×C3×C4—21no—
1070C2×C3×C4—21no—
1071C2×C3×C4—21no—
1072C2×C3×C4—21no—
1073C2×C3×C4—21no—
1074C2×C3×C4—21no—
1075C2×C3×C4—21no—
1076C2×C3×C4—21no—
1077C2×C3×C4—21no—
1078C2×C3×C4—21no—
1079C2×C3×C4—21no—
1080C2×C3×C4—21no—
1081C2×C3×C4—21no—
1082C2×C3×C4—21no—
1083C2×C3×C4—21no—
1084C2×C3×C4—21no—
1085C2×C3×C4—21no—
1086C2×C3×C4—21no—
1087C2×C3×C4—21no—
1088C2×C3×C4—21no—
1089C2×C3×C4—21no—
1090C2×C3×C4—21no—
1091C2×C3×C4—21no—
1092C2×C3×C4—44no—
1093C2×C3×C4—82no—
1094C2×C3×C4C22×D412yes—
1095C2×C3×C4C22×D412yes—
1096C2×C3×C4C2×#4112yes—
1097C2×C3×C4C2×#4112yes—
1098C2×C3×C4H(5,𝔽2)12yes—
1099#67—28no—
1100#67—28no—
1101#67—44no—
1102C2×Dic3—21no—
1103C2×Dic3—21no—
1104C2×Dic3—21no—
1105C2×Dic3—21no—
1106C2×Dic3—21no—
1107C2×Dic3—21no—
1108C2×Dic3—21no—
1109C2×Dic3—21no—
1110C2×Dic3—21no—
1111C2×Dic3—21no—
1112C2×Dic3—21no—
1113C2×Dic3—21no—
1114C2×Dic3—21no—
1115C2×Dic3—21no—
1116C2×Dic3—21no—
1117C2×Dic3—21no—
1118C2×Dic3—21no—
1119C2×Dic3—21no—
1120C2×Dic3—21no—
1121C2×Dic3—21no—
1122C2×Dic3—21no—
1123C2×Dic3—21no—
1124C2×Dic3—21no—
1125C2×Dic3—21no—
1126C2×Dic3—21no—
1127C2×Dic3—21no—
1128C2×Dic3—21no—
1129C2×Dic3—21no—
1130C2×Dic3—21no—
1131C2×Dic3—44no—
1132C2×Dic3—44no—
1133C2×Dic3—82no—
1134C2×Dic3C22×D412yes—
1135C2×Dic3C22×D412yes—
1136C2×Dic3C22×D412yes—
1137C2×Dic3C2×#4112yes—
1138D12—28no—
1139D12—44no—
1140D12—44no—
1141D12—44no—
1142D12—44no—
1143D12—44no—
1144D12—44no—
1145D12—44no—
1146D12—82no—
1147C4×D3—28no—
1148C4×D3—28no—
1149C4×D3—28no—
1150C4×D3—44no—
1151C4×D3—44no—
1152C4×D3—44no—
1153C4×D3—44no—
1154C4×D3—44no—
1155C4×D3—82no—
1156C4×D3—82no—
1157C4×D3—82no—
1158Dic6—28no—
1159C24—31no—
1160C24—31no—
1161C24—31no—
1162C24—31no—
1163C24—31no—
1164C24—62no—
1165C24—62no—
1166C24—62no—
1167C24—62no—
1168C24—62no—
1169C24—121no—
1170C24—121no—
1171C24C23×D311yescharacteristic
1172#41—632no—
1173#41—1216no—
1174C2×Q8—22no—
1175C2×Q8—22no—
1176C2×Q8—41no—
1177C2×Q8—62no—
1178C2×Q8—62no—
1179C2×Q8—62no—
1180C2×D4—34no—
1181C2×D4—34no—
1182C2×D4—62no—
1183C2×D4—62no—
1184C2×D4—62no—
1185C2×D4—62no—
1186C2×D4—62no—
1187C2×D4—62no—
1188C2×D4—62no—
1189C2×D4—62no—
1190C2×D4—62no—
1191C2×D4—62no—
1192C2×D4—62no—
1193C2×D4—62no—
1194C2×D4—62no—
1195C2×D4—62no—
1196C2×D4—62no—
1197C2×D4—62no—
1198C2×D4—62no—
1199C2×D4—62no—
1200C2×D4—62no—
1201C2×D4—62no—
1202C2×D4—62no—
1203C2×D4—62no—
1204C2×D4—62no—
1205C2×D4—62no—
1206C2×D4—62no—
1207C2×D4—121no—
1208C2×D4—121no—
1209C2×D4—121no—
1210C2×D4—121no—
1211C2×D4—121no—
1212C2×D4—121no—
1213C2×D4—121no—
1214C2×D4—121no—
1215C2×D4—121no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—31no—
1222C22×C4—31no—
1223C22×C4—31no—
1224C22×C4—31no—
1225C22×C4—34no—
1226C22×C4—34no—
1227C22×C4—31no—
1228C22×C4—31no—
1229C22×C4—31no—
1230C22×C4—31no—
1231C22×C4—31no—
1232C22×C4—31no—
1233C22×C4—31no—
1234C22×C4—41no—
1235C22×C4—41no—
1236C22×C4—41no—
1237C22×C4—62no—
1238C22×C4—62no—
1239C22×C4—62no—
1240C22×C4—62no—
1241C22×C4—62no—
1242C22×C4—62no—
1243C22×C4—62no—
1244C22×C4—62no—
1245C22×C4—62no—
1246C22×C4—62no—
1247C22×C4—62no—
1248C22×C4—62no—
1249C22×C4—62no—
1250C22×C4—62no—
1251C22×C4—62no—
1252C22×C4—62no—
1253C22×C4—62no—
1254C22×C4—62no—
1255C22×C4—62no—
1256C22×C4—62no—
1257C22×C4—121no—
1258C22×C4—121no—
1259C22×C4—121no—
1260C22×C4—121no—
1261C22×C4—121no—
1262C22×C4—121no—
1263C22×C4—121no—
1264C22×C4—121no—
1265C22×C4—121no—
1266C22×C4—121no—
1267C22×C4—121no—
1268C22×C4—121no—
1269C22×C4—121no—
1270C22×C4—121no—
1271C22×C4—1216no—
1272C22×C4—121no—
1273C22×C4—121no—
1274C22×C4—121no—
1275C22×C4—121no—
1276C22×C4—121no—
1277C22×C4—121no—
1278C22×C4#23914yescomplemented
1279C22×C4C23×D311yescharacteristic
1280C22×C4C23×D311yescharacteristic
1281C22×C4C23×D311yescharacteristic
1282C22×C4C23×D311yescharacteristic
1283C22×C4C23×D311yescharacteristic
1284C22×C4C23×D311yescharacteristic
1285C22×C4C23×D311yescharacteristic
1286C22×C4C23×D311yescharacteristic
1287C22×C4C23×D311yescharacteristic
1288C22×C4C23×D311yescharacteristic
1289C22×C4C23×D311yescharacteristic
1290C22×C4C23×D311yescharacteristic
1291C22×C4C23×D311yescharacteristic
1292C22×C4C23×D311yescharacteristic
1293C4⋊C4—22no—
1294C4⋊C4—22no—
1295C4⋊C4—22no—
1296C4⋊C4—22no—
1297C4⋊C4—22no—
1298C4⋊C4—22no—
1299C4⋊C4—34no—
1300C4⋊C4—41no—
1301C4⋊C4—41no—
1302C4⋊C4—41no—
1303C4⋊C4—41no—
1304C4⋊C4—41no—
1305C4⋊C4—62no—
1306C4⋊C4—62no—
1307C4⋊C4—62no—
1308C4⋊C4—62no—
1309C4⋊C4—62no—
1310C4⋊C4—62no—
1311C4⋊C4—62no—
1312C4⋊C4—62no—
1313C4⋊C4—62no—
1314C4⋊C4—62no—
1315C4⋊C4—62no—
1316C4⋊C4—62no—
1317C4⋊C4—62no—
1318C4⋊C4—62no—
1319C4⋊C4—121no—
1320C4⋊C4—121no—
1321C4⋊C4—121no—
1322C4⋊C4—121no—
1323C4⋊C4—121no—
1324C4⋊C4—121no—
1325C22⋊C4—22no—
1326C22⋊C4—22no—
1327C22⋊C4—22no—
1328C22⋊C4—34no—
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—62no—
1344C22⋊C4—62no—
1345C22⋊C4—62no—
1346C22⋊C4—62no—
1347C22⋊C4—62no—
1348C22⋊C4—62no—
1349C22⋊C4—62no—
1350C22⋊C4—62no—
1351C22⋊C4—62no—
1352C22⋊C4—62no—
1353C22⋊C4—62no—
1354C22⋊C4—62no—
1355C22⋊C4—121no—
1356C22⋊C4—121no—
1357C22⋊C4—121no—
1358C22⋊C4—121no—
1359C22⋊C4—121no—
1360C22⋊C4—121no—
1361C22⋊C4—121no—
1362C22⋊C4—121no—
1363C22⋊C4—121no—
1364C22⋊C4—121no—
1365C22⋊C4—121no—
1366C22⋊C4—121no—
1367C22⋊C4—121no—
1368C22⋊C4—121no—
1369C22⋊C4—121no—
1370C22⋊C4D3×D414yes—
1371C42—22no—
1372C42—22no—
1373C42—34no—
1374C42—62no—
1375C42—62no—
1376C42—62no—
1377C42—62no—
1378C42—121no—
1379C42—121no—
1380C22×C3—22no—
1381C22×C3—22no—
1382C22×C3—22no—
1383C22×C3—22no—
1384C22×C3—22no—
1385C22×C3—22no—
1386C22×C3#52514yes—
1387C22×C3C23×D411yescharacteristic
1388C22×C3C22×#4111yescharacteristic
1389C22×C3C22×#4111yescharacteristic
1390C22×C3C2×H(5,𝔽2)11yescharacteristic
1391C22×C3C2×H(5,𝔽2)11yescharacteristic
1392C22×C3C2×2−1+411yescharacteristic
1393C22×C3#58511yescharacteristic
1394C2×D3—22no—
1395C2×D3—22no—
1396C2×D3—22no—
1397C2×D3—22no—
1398C2×D3—22no—
1399C2×D3—22no—
1400C2×D3—22no—
1401C2×D3—22no—
1402C2×D3—22no—
1403C2×D3—22no—
1404C2×D3—22no—
1405C2×D3—22no—
1406C2×D3—416no—
1407C2×D3—41no—
1408C2×D3—41no—
1409C2×D3—41no—
1410C2×D3—41no—
1411C2×D3—41no—
1412C2×D3—41no—
1413C2×D3—41no—
1414C2×D3—41no—
1415C2×D3—41no—
1416C2×D3—41no—
1417C2×D3—41no—
1418C2×D3—41no—
1419C2×D3—41no—
1420C2×D3—41no—
1421C2×D3—41no—
1422C2×D3—41no—
1423C2×D3—41no—
1424C2×D3—41no—
1425C2×D3—41no—
1426C2×D3—41no—
1427C2×D3—41no—
1428C2×D3—41no—
1429C2×D3—41no—
1430C3×C4—22no—
1431C3×C4—22no—
1432C3×C4—22no—
1433C3×C4—22no—
1434C3×C4—22no—
1435C3×C4—41no—
1436C3×C4—41no—
1437C3×C4—41no—
1438C3×C4—41no—
1439C3×C4—41no—
1440C3×C4—41no—
1441C3×C4—41no—
1442C3×C4—41no—
1443C3×C4—41no—
1444Dic3—22no—
1445Dic3—22no—
1446Dic3—22no—
1447Dic3—22no—
1448Dic3—41no—
1449Dic3—41no—
1450Dic3—41no—
1451Dic3—41no—
1452Dic3—41no—
1453Dic3—41no—
1454Dic3—41no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—32no—
1460C23—32no—
1461C23—32no—
1462C23—32no—
1463C23—68no—
1464C23—61no—
1465C23—61no—
1466C23—61no—
1467C23—61no—
1468C23—61no—
1469C23—61no—
1470C23—61no—
1471C23—61no—
1472C23—61no—
1473C23—61no—
1474C23—61no—
1475C23—61no—
1476C23—61no—
1477C23—61no—
1478C23—61no—
1479C23—61no—
1480C23—61no—
1481C23—61no—
1482C23—61no—
1483C23—61no—
1484C23—61no—
1485C23—61no—
1486C23—61no—
1487C23—61no—
1488C23—61no—
1489C23—61no—
1490C23—61no—
1491C23—61no—
1492C23—61no—
1493C23—61no—
1494C23—61no—
1495C23—124no—
1496C23—124no—
1497C23—124no—
1498C23—124no—
1499C23—124no—
1500C23—124no—
1501C23C2×D3×D412yes—
1502C23C2×#23912yes—
1503C23D3×#4112yes—
1504C23C24×D311yescharacteristic
1505Q8—44no—
1506Q8—68no—
1507D4—68no—
1508D4—68no—
1509D4—68no—
1510D4—124no—
1511D4—124no—
1512D4—124no—
1513D4—124no—
1514D4—124no—
1515D4—124no—
1516D4—124no—
1517D4—124no—
1518D4—242no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—28no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—32no—
1558C2×C4—32no—
1559C2×C4—32no—
1560C2×C4—32no—
1561C2×C4—44no—
1562C2×C4—68no—
1563C2×C4—68no—
1564C2×C4—68no—
1565C2×C4—61no—
1566C2×C4—61no—
1567C2×C4—61no—
1568C2×C4—61no—
1569C2×C4—61no—
1570C2×C4—61no—
1571C2×C4—61no—
1572C2×C4—61no—
1573C2×C4—61no—
1574C2×C4—61no—
1575C2×C4—61no—
1576C2×C4—61no—
1577C2×C4—61no—
1578C2×C4—61no—
1579C2×C4—61no—
1580C2×C4—61no—
1581C2×C4—61no—
1582C2×C4—61no—
1583C2×C4—61no—
1584C2×C4—61no—
1585C2×C4—61no—
1586C2×C4—61no—
1587C2×C4—61no—
1588C2×C4—61no—
1589C2×C4—61no—
1590C2×C4—61no—
1591C2×C4—61no—
1592C2×C4—61no—
1593C2×C4—61no—
1594C2×C4—82no—
1595C2×C4—124no—
1596C2×C4—124no—
1597C2×C4—124no—
1598C2×C4—124no—
1599C2×C4—124no—
1600C2×C4—124no—
1601C2×C4—124no—
1602C2×C4—242no—
1603C2×C4—242no—
1604C2×C4—242no—
1605C2×C4—242no—
1606C2×C4C2×D3×D412yes—
1607C2×C4C2×D3×D412yes—
1608C2×C4C2×#23912yes—
1609C2×C4C2×#23912yes—
1610C2×C4#100912yes—
1611C2×C3—24no—
1612C2×C3C2×#52511yescharacteristic
1613C2×C3#348411yescharacteristic
1614C2×C3#348911yescharacteristic
1615C2×C3#349211yescharacteristic
1616C2×C3#350611yescharacteristic
1617C2×C3#351311yescharacteristic
1618C2×C3#352011yescharacteristic
1619D3—42no—
1620D3—42no—
1621D3—42no—
1622D3—42no—
1623D3—81no—
1624C22—22no—
1625C22—22no—
1626C22—22no—
1627C22—22no—
1628C22—22no—
1629C22—22no—
1630C22—62no—
1631C22—62no—
1632C22—62no—
1633C22—62no—
1634C22—62no—
1635C22—62no—
1636C22—62no—
1637C22—62no—
1638C22—62no—
1639C22—62no—
1640C22—62no—
1641C22—62no—
1642C22—1216no—
1643C22—121no—
1644C22—121no—
1645C22—121no—
1646C22—121no—
1647C22—121no—
1648C22—121no—
1649C22—121no—
1650C22—121no—
1651C22—121no—
1652C22—121no—
1653C22—121no—
1654C22—121no—
1655C22—121no—
1656C22—121no—
1657C22—121no—
1658C22—121no—
1659C22—121no—
1660C22—121no—
1661C22—121no—
1662C22—121no—
1663C22—121no—
1664C22—121no—
1665C22—121no—
1666C22#562714yes—
1667C22C22×D3×D411yescharacteristic
1668C22C22×#23911yescharacteristic
1669C22C2×D3×#4111yescharacteristic
1670C22C2×#100911yescharacteristic
1671C22#596411yescharacteristic
1672C22D3×H(5,𝔽2)11yescharacteristic
1673C22D3×2−1+411yescharacteristic
1674C4—22no—
1675C4—22no—
1676C4—22no—
1677C4—22no—
1678C4—22no—
1679C4—41no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—41no—
1687C4—41no—
1688C4—62no—
1689C4—62no—
1690C4—62no—
1691C4—62no—
1692C4—121no—
1693C4—121no—
1694C4—121no—
1695C4—121no—
1696C4—121no—
1697C4—121no—
1698C4—121no—
1699C3#3535311yescharacteristic, complemented, Sylow
1700C2—24no—
1701C2—122no—
1702C2—122no—
1703C2—122no—
1704C2—122no—
1705C2—241no—
1706C2C2×#562711yescharacteristic
1707C2#8625911yescharacteristic
1708C2#8659611yescharacteristic
1709C2#8666211yescharacteristic
1710C2#8667711yescharacteristic
1711C2#8679611yescharacteristic
1712C2#8683911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2438C2
hypercenter#2438D3
hypocenterC3#35353
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2438

Complements

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

NH ≅ G/Ntype
1. C2×#5627C2semidirect
2. C2×#5523C2semidirect
3. C3×#2438C2semidirect
4. #82764C2semidirect
5. #82275C2semidirect
6. #78203C2semidirect
7. #78140C2semidirect
8. #77960C2semidirect
9. #77951C2semidirect
10. #77815C2semidirect
11. #77760C2semidirect
12. #77252C2semidirect
13. #77249C2semidirect
14. #76618C2semidirect
15. #76514C2semidirect
16. #76226C2semidirect
17. #76075C2semidirect
18. #75372C2semidirect
19. #75323C2semidirect
20. #75125C2semidirect
21. #74989C2semidirect
22. #74605C2semidirect
23. #74418C2semidirect
24. #74383C2semidirect
25. #74379C2semidirect
26. #74125C2semidirect
27. #74056C2semidirect
28. #74021C2semidirect
29. #73873C2semidirect
30. #73376C2semidirect
31. C2×#4668C2semidirect
39. C2×#946C22semidirect
54. C2×#894C22semidirect
60. C2×#892C22semidirect
61. C2×#892C22semidirect
62. C2×D3×C4⋊C4C22semidirect
63. C2×D3×C4⋊C4C22semidirect
72. C2×C4×D12C22semidirect
73. C2×C4×D12C22semidirect
74. C2×C4×Dic6C22semidirect
75. C2×C4×Dic6C22semidirect
76. C3×#400C22semidirect
77. C3×#398C22semidirect
78. C3×#398C22semidirect
79. C3×#395C22semidirect
80. C3×#391C22semidirect
81. C3×#389C22semidirect
82. C3×#387C22semidirect
83. C3×#387C22semidirect
89. #5230C22semidirect
96. #4994C22semidirect
98. #4993C22semidirect
99. #4993C22semidirect
105. #4990C22semidirect
106. #4990C22semidirect
107. #4990C22semidirect
110. #4989C22semidirect
111. #4989C22semidirect
112. #4989C22semidirect
113. #4989C22semidirect
115. #4987C22semidirect
116. #4982C22semidirect
117. #4982C22semidirect
118. #4978C22semidirect
119. #4978C22semidirect
120. #4977C22semidirect
121. #4972C22semidirect
135. #4675C22semidirect
138. #4673C22semidirect
141. #4672C22semidirect
142. #4672C22semidirect
146. #4671C22semidirect
148. #4670C22semidirect
149. #4670C22semidirect
150. #4670C22semidirect
152. #4669C22semidirect
161. #4668C22semidirect
162. #4668C22semidirect
163. #4668C22semidirect
164. #4668C22semidirect
175. #4665C22semidirect
176. #4665C22semidirect
177. #4665C22semidirect
178. #4665C22semidirect
179. #4664C22semidirect
180. #4656C22semidirect
181. #4655C22semidirect
182. #4655C22semidirect
183. #4655C22semidirect
184. #4655C22semidirect
185. #4654C22semidirect
186. #4654C22semidirect
187. #4651C22semidirect
188. #4647C22semidirect
189. #4647C22semidirect
208. #2438D3semidirect
382. #67⋊C4D4semidirect
466. #400C2×D3semidirect
472. #398C2×D3semidirect
473. #398C2×D3semidirect
482. #395C2×D3semidirect
498. #391C2×D3semidirect
505. #389C2×D3semidirect
526. #387C2×D3semidirect
527. #387C2×D3semidirect
604. C22×C3×C4#41semidirect
627. C2×#67#41semidirect
1278. C22×C4#239semidirect
1699. C3#35353semidirect

Maximal subgroups

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

subgroupindex
C2×#56272
C2×#55232
C3×#24382
#827642
#822752
#782032
#781402
#779602
#779512
#778152
#777602
#772522
#772492
#766182
#765142
#762262
#760752
#753722
#753232
#751252
#749892
#746052
#744182
#743832
#743792
#741252
#740562
#740212
#738732
#733762
C2×#46682
#353533