Finite Group Databasebeta

← #11024296

Subgroups — #11024296

Order 768.

2516 conjugacy classes of subgroups.

The subgroup lattice has 1644 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5662C211yesmaximal, characteristic, complemented
2C2×D3×C22⋊Q8C211yesmaximal, characteristic, complemented
3C3×#2687C211yesmaximal, characteristic, complemented
4#82896C211yesmaximal, characteristic, complemented
5#82800C211yesmaximal, characteristic, complemented
6#78148C211yesmaximal, characteristic, complemented
7#78144C211yesmaximal, characteristic, complemented
8#77851C211yesmaximal, characteristic, complemented
9#77745C211yesmaximal, characteristic, complemented
10#77743C211yesmaximal, characteristic, complemented
11#77742C211yesmaximal, characteristic, complemented
12#77669C211yesmaximal, characteristic, complemented
13#77540C211yesmaximal, characteristic, complemented
14#76972C211yesmaximal, characteristic, complemented
15#76926C211yesmaximal, characteristic, complemented
16#76828C211yesmaximal, characteristic, complemented
17#76781C211yesmaximal, characteristic, complemented
18#76614C211yesmaximal, characteristic, complemented
19#76564C211yesmaximal, characteristic, complemented
20#75542C211yesmaximal, characteristic, complemented
21#75527C211yesmaximal, characteristic, complemented
22#75499C211yesmaximal, characteristic, complemented
23#75460C211yesmaximal, characteristic, complemented
24#74935C211yesmaximal, characteristic
25#74811C211yesmaximal, characteristic, complemented
26#74516C211yesmaximal, characteristic, complemented
27#74397C211yesmaximal, characteristic, complemented
28#74094C211yesmaximal, characteristic, complemented
29#74050C211yesmaximal, characteristic, complemented
30#73895C211yesmaximal, characteristic, complemented
31#73888C211yesmaximal, characteristic, complemented
32#37665—31nomaximal, Sylow
33C22×D3×Q8C2211yescharacteristic
34C23×C4×D3C2211yescharacteristic
35C2×C3×#123C2211yescharacteristic
36C2×C3×C22⋊Q8C2211yescharacteristic
37C2×#946C2211yescharacteristic
38C2×#939C2211yescharacteristic
39C2×#937C2211yescharacteristic
40C2×#936C2211yescharacteristic
41C2×C4×#67C2211yescharacteristic
42C2×C4×#67C2211yescharacteristic, complemented
43C2×#924C2211yescharacteristic
44C2×#924C2211yescharacteristic, complemented
45#5662—28no—
46D3×C22⋊Q8—28no—
47C2×#898C2211yescharacteristic, complemented
48C2×#897C2211yescharacteristic
49C2×#897C2211yescharacteristic
50C2×#896C2211yescharacteristic
51C2×#896C2211yescharacteristic
52C2×#896C2211yescharacteristic
53C2×#896C2211yescharacteristic, complemented
54C2×#893C2211yescharacteristic
55C2×D3×C4⋊C4C2211yescharacteristic
56C2×D3×C4⋊C4C2211yescharacteristic
57C2×D3×C4⋊C4C2211yescharacteristic
58C2×#888C2211yescharacteristic, complemented
59C2×#887C2211yescharacteristic, complemented
60C2×#885C2211yescharacteristic
61C2×#885C2211yescharacteristic, complemented
62C2×#885C2211yescharacteristic, complemented
63C2×#884C2211yescharacteristic
64C2×#884C2211yescharacteristic
65C2×#883C2211yescharacteristic
66C2×#882C2211yescharacteristic
67C2×D3×C22⋊C4C2211yescharacteristic
68C2×D3×C22⋊C4C2211yescharacteristic
69C2×#879C2211yescharacteristic, complemented
70C2×#878C2211yescharacteristic
71C2×#878C2211yescharacteristic
72C2×#877C2211yescharacteristic
73C2×#877C2211yescharacteristic
74C2×C4×Dic6C2211yescharacteristic, complemented
75C3×#400C2211yescharacteristic, complemented
76C3×#398C2211yescharacteristic, complemented
77C3×#398C2211yescharacteristic, complemented
78C3×#397C2211yescharacteristic
79C3×#394C2211yescharacteristic
80C3×#393C2211yescharacteristic, complemented
81C3×#391C2211yescharacteristic, complemented
82C3×#388C2211yescharacteristic
83C3×#388C2211yescharacteristic, complemented
84C3×#386C2211yescharacteristic
85C3×#385C2211yescharacteristic, complemented
86C3×#381C2211yescharacteristic
87C3×#380C2211yescharacteristic, complemented
88#5231C2211yescharacteristic, complemented
89#5229C2211yescharacteristic, complemented
90#5222C2211yescharacteristic
91#5213C2211yescharacteristic
92#5213C2211yescharacteristic
93#5211C2211yescharacteristic
94#4994C2211yescharacteristic, complemented
95#4994C2211yescharacteristic, complemented
96#4993C2211yescharacteristic
97#4993C2211yescharacteristic
98#4992C2211yescharacteristic, complemented
99#4991C2211yescharacteristic
100#4990C2211yescharacteristic
101#4990C2211yescharacteristic
102#4990C2211yescharacteristic, complemented
103#4989C2211yescharacteristic
104#4987C2211yescharacteristic
105#4982C2211yescharacteristic, complemented
106#4979C2211yescharacteristic, complemented
107#4978C2211yescharacteristic, complemented
108#4976C2211yescharacteristic, complemented
109#4976C2211yescharacteristic, complemented
110#4975C2211yescharacteristic, complemented
111#4973C2211yescharacteristic, complemented
112#4972C2211yescharacteristic, complemented
113#4961C2211yescharacteristic
114#4961C2211yescharacteristic
115#4959C2211yescharacteristic
116#4959C2211yescharacteristic
117#4957C2211yescharacteristic
118#4957C2211yescharacteristic, complemented
119#4956C2211yescharacteristic
120#4956C2211yescharacteristic
121#4956C2211yescharacteristic
122#4956C2211yescharacteristic
123#4956C2211yescharacteristic
124#4955C2211yescharacteristic
125#4955C2211yescharacteristic
126#4953C2211yescharacteristic
127#4952C2211yescharacteristic
128#4952C2211yescharacteristic
129#4952C2211yescharacteristic, complemented
130#4951C2211yescharacteristic
131#4951C2211yescharacteristic, complemented
132#4948C2211yescharacteristic, complemented
133#4948C2211yescharacteristic, complemented
134#4948C2211yescharacteristic, complemented
135#4947C2211yescharacteristic, complemented
136#4944C2211yescharacteristic
137#4944C2211yescharacteristic
138#4942C2211yescharacteristic
139#4939C2211yescharacteristic
140C4×(C2×D3)⋊C4C2211yescharacteristic
141#4933C2211yescharacteristic, complemented
142#4676C2211yescharacteristic, complemented
143#4673C2211yescharacteristic
144#4673C2211yescharacteristic
145#4673C2211yescharacteristic, complemented
146#4672C2211yescharacteristic
147#4670C2211yescharacteristic
148#4670C2211yescharacteristic
149#4669C2211yescharacteristic, complemented
150#4668C2211yescharacteristic
151#4668C2211yescharacteristic, complemented
152#4667C2211yescharacteristic
153#4667C2211yescharacteristic
154#4667C2211yescharacteristic
155#4667C2211yescharacteristic
156#4667C2211yescharacteristic
157#4667C2211yescharacteristic
158#4667C2211yescharacteristic
159#4667C2211yescharacteristic, complemented
160#4666C2211yescharacteristic
161#4666C2211yescharacteristic
162#4666C2211yescharacteristic
163#4666C2211yescharacteristic
164#4666C2211yescharacteristic
165#4665C2211yescharacteristic
166#4665C2211yescharacteristic
167#4665C2211yescharacteristic
168#4665C2211yescharacteristic
169#4665C2211yescharacteristic
170#4665C2211yescharacteristic
171#4661C2211yescharacteristic, complemented
172#4660C2211yescharacteristic, complemented
173#4660C2211yescharacteristic, complemented
174#4658C2211yescharacteristic, complemented
175#4657C2211yescharacteristic, complemented
176#4657C2211yescharacteristic, complemented
177#4656C2211yescharacteristic, complemented
178#4653C2211yescharacteristic, complemented
179#4652C2211yescharacteristic, complemented
180#4649C2211yescharacteristic, complemented
181#4647C2211yescharacteristic, complemented
182#4647C2211yescharacteristic, complemented
183#4646C2211yescharacteristic, complemented
184#4646C2211yescharacteristic, complemented
185#4646C2211yescharacteristic, complemented
186#4646C2211yescharacteristic, complemented
187#4646C2211yescharacteristic, complemented
188#4646C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#542—31no—
191C22×C22⋊Q8—31no—
192#2847—31no—
193#2702—31no—
194#2702—31no—
195#2700—31no—
196#2700—31no—
197#2692—31no—
198#2692—31no—
199#2687—31no—
200#2687D311yescharacteristic, complemented
201#2625—31no—
202#2620—31no—
203#2492—31no—
204#2481—31no—
205#2481—31no—
206#2472—31no—
207#2472—31no—
208#2440—31no—
209#2436—31no—
210#2427—31no—
211#2426—31no—
212#2423—31no—
213#2418—31no—
214#2418—31no—
215#2417—31no—
216#2417—31no—
217#2361—31no—
218Q8×C22⋊C4—31no—
219#2323—31no—
220#2280—31no—
221C24×D3C2311yescharacteristic
222C22×C3×Q8C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C23×C3×C4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C22×#67C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C23×Dic3C2311yescharacteristic
231C2×D3×Q8—24no—
232C2×D3×Q8—24no—
233C2×D3×Q8—42no—
234C22×D12C2311yescharacteristic
235C22×D12C2311yescharacteristic
236C22×C4×D3—24no—
237C22×C4×D3—24no—
238C22×C4×D3—42no—
239C22×C4×D3C2311yescharacteristic
240C22×C4×D3C2311yescharacteristic
241C22×C4×D3C2311yescharacteristic
242C22×C4×D3C2311yescharacteristic
243C22×C4×D3C2311yescharacteristic
244C22×C4×D3C2311yescharacteristic
245C22×C4×D3C2311yescharacteristic
246C22×C4×D3C2311yescharacteristic
247C22×C4×D3C2311yescharacteristic
248C22×Dic6C2311yescharacteristic
249C22×Dic6C2311yescharacteristic
250C22×Dic6C2311yescharacteristic
251C22×Dic6C2311yescharacteristic
252C22×Dic6C2311yescharacteristic
253C3×#123—24no—
254C3×C22⋊Q8—24no—
255C2×C3×C4⋊C4C2311yescharacteristic
256C2×C3×C4⋊C4C2311yescharacteristic
257C2×C3×C4⋊C4C2311yescharacteristic
258C2×C3×C4⋊C4C2311yescharacteristic
259C2×C3×C4⋊C4C2311yescharacteristic
260C2×C3×C4⋊C4C2311yescharacteristic
261C2×C3×C4⋊C4C2311yescharacteristic
262C2×C3×C4⋊C4C2311yescharacteristic
263C2×C3×C22⋊C4C2311yescharacteristic
264C2×C3×C22⋊C4C2311yescharacteristic
265C2×C3×C22⋊C4C2311yescharacteristic
266C2×C3×C22⋊C4C2311yescharacteristic
267C2×C3×C22⋊C4C2311yescharacteristic
268C2×C3×C22⋊C4C2311yescharacteristic
269C2×C3×C22⋊C4C2311yescharacteristic
270C2×C3×C22⋊C4C2311yescharacteristic
271C2×C3×C22⋊C4C2311yescharacteristic
272C2×C3×C22⋊C4C2311yescharacteristic
273C2×C3×C42C2311yescharacteristic
274C2×#217C2311yescharacteristic
275C2×#217C2311yescharacteristic
276C2×#217C2311yescharacteristic
277C2×#217C2311yescharacteristic
278C2×#217C2311yescharacteristic
279C2×#217C2311yescharacteristic
280C2×#217C2311yescharacteristic
281C2×#217C2311yescharacteristic
282C2×#217C2311yescharacteristic
283C2×#217C2311yescharacteristic
284#946—24no—
285#939—24no—
286#937—42no—
287#936—24no—
288C4×#67—24no—
289C4×#67—42no—
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×C4⋊Dic3C2311yescharacteristic
317C2×C4⋊Dic3C2311yescharacteristic
318C2×C4⋊Dic3C2311yescharacteristic
319C2×C4⋊Dic3C2311yescharacteristic
320C2×C4⋊Dic3C2311yescharacteristic
321C2×C4⋊Dic3C2311yescharacteristic
322C2×C4⋊Dic3C2311yescharacteristic
323#924—24no—
324#924—24no—
325C2×Dic3⋊C4C2311yescharacteristic
326C2×Dic3⋊C4C2311yescharacteristic
327C2×Dic3⋊C4C2311yescharacteristic
328C2×Dic3⋊C4C2311yescharacteristic
329C2×Dic3⋊C4C2311yescharacteristic
330C2×Dic3⋊C4C2311yescharacteristic
331C2×Dic3⋊C4C2311yescharacteristic
332C2×Dic3⋊C4C2311yescharacteristic
333C2×Dic3⋊C4C2311yescharacteristic
334C2×Dic3⋊C4C2311yescharacteristic
335C2×Dic3⋊C4C2311yescharacteristic
336C2×Dic3⋊C4C2311yescharacteristic
337C2×Dic3⋊C4C2311yescharacteristic
338C2×Dic3⋊C4C2311yescharacteristic
339C2×Dic3⋊C4C2311yescharacteristic
340C2×Dic3⋊C4C2311yescharacteristic
341C2×Dic3⋊C4C2311yescharacteristic
342C2×Dic3⋊C4C2311yescharacteristic
343C2×Dic3⋊C4C2311yescharacteristic
344C2×Dic3⋊C4C2311yescharacteristic
345C2×C4×Dic3C2311yescharacteristic
346C2×C4×Dic3C2311yescharacteristic
347C2×C4×Dic3C2311yescharacteristic
348C2×C4×Dic3C2311yescharacteristic
349C2×C4×Dic3C2311yescharacteristic
350C2×C4×Dic3C2311yescharacteristic
351C2×C4×Dic3C2311yescharacteristic
352C2×C4×Dic3C2311yescharacteristic
353C2×C4×Dic3C2311yescharacteristic
354#898—24no—
355#897—24no—
356#897—42no—
357#896—24no—
358#896—24no—
359#896—24no—
360#896—42no—
361#893—42no—
362D3×C4⋊C4—24no—
363D3×C4⋊C4—24no—
364D3×C4⋊C4—24no—
365#888—24no—
366#887—24no—
367#885—24no—
368#885—24no—
369#885—42no—
370#884—24no—
371#884—42no—
372#883—24no—
373#882—42no—
374D3×C22⋊C4—24no—
375D3×C22⋊C4—24no—
376#879—24no—
377#878—24no—
378#878D418yescomplemented
379#877—24no—
380#877—42no—
381C4×Dic6—42no—
382C3×#95C2311yescharacteristic
383C3×#95C2311yescharacteristic
384C3×#95C2311yescharacteristic
385C3×#95C2311yescharacteristic
386C3×#95C2311yescharacteristic
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
420C23×Q8—31no—
421C24×C4—31no—
422#542—68no—
423C2×C4⋊Q8—31no—
424C2×#126—31no—
425C2×#126—31no—
426C2×#124—31no—
427C2×#124—31no—
428C2×#124—31no—
429C2×#124—31no—
430C2×#123—31no—
431C2×#123C2×D311yescharacteristic
432C2×C22⋊Q8—31no—
433C2×C22⋊Q8—31no—
434C2×C22⋊Q8—31no—
435C2×C22⋊Q8—31no—
436C2×C22⋊Q8—31no—
437C2×C22⋊Q8—31no—
438C2×C22⋊Q8—31no—
439C2×C22⋊Q8—31no—
440C2×C22⋊Q8—31no—
441C2×C22⋊Q8—31no—
442C2×C22⋊Q8—31no—
443C2×C22⋊Q8—68no—
444C2×C22⋊Q8C2×D311yescharacteristic
445C2×#121—31no—
446C2×#121—31no—
447C2×#121—31no—
448C2×#120—31no—
449C2×#120—31no—
450C2×C4×Q8—31no—
451C2×C4×Q8—31no—
452C2×C4×D4—31no—
453C2×C4×D4—31no—
454C2×C4×D4—31no—
455C2×#117—31no—
456C2×#117—31no—
457C22×C4⋊C4—31no—
458C22×C4⋊C4—31no—
459C22×C4⋊C4—31no—
460C22×C22⋊C4—31no—
461C22×C22⋊C4—31no—
462#400—31no—
463#400—31no—
464#400—31no—
465#400C2×D311yescharacteristic, complemented
466#399—31no—
467#399—31no—
468#398—31no—
469#398—31no—
470#398—31no—
471#398—31no—
472#398C2×D311yescharacteristic, complemented
473#398C2×D311yescharacteristic, complemented
474#397—31no—
475#397—31no—
476#397—31no—
477#397—31no—
478#397—31no—
479#397C2×D311yescharacteristic
480#396—31no—
481#396—31no—
482#396—31no—
483#396—31no—
484#396—31no—
485#396—31no—
486#395—31no—
487#395—31no—
488#394—31no—
489#394—31no—
490#394—31no—
491#394—31no—
492#394—31no—
493#394—31no—
494#394—31no—
495#394C2×D311yescharacteristic
496#393—31no—
497#393—31no—
498#393—31no—
499#393—31no—
500#393—31no—
501#393C2×D311yescharacteristic, complemented
502#391—31no—
503#391—31no—
504#391—31no—
505#391—31no—
506#391—31no—
507#391—31no—
508#391—31no—
509#391—31no—
510#391—31no—
511#391C2×D311yescharacteristic, complemented
512#390—31no—
513#390—31no—
514#390—31no—
515#389—31no—
516#389—31no—
517#389—31no—
518#389—31no—
519#389—31no—
520#388—31no—
521#388—31no—
522#388—31no—
523#388—31no—
524#388—31no—
525#388—31no—
526#388—31no—
527#388—31no—
528#388—31no—
529#388—31no—
530#388C2×D311yescharacteristic
531#388C2×D311yescharacteristic, complemented
532#387—31no—
533#387—31no—
534#387—31no—
535#387—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#386—31no—
547#386—31no—
548#386—31no—
549#386C2×D311yescharacteristic
550#385—31no—
551#385—31no—
552#385—31no—
553#385C2×D311yescharacteristic, complemented
554#384—31no—
555#381—31no—
556#381C2×D311yescharacteristic
557#380—31no—
558#380—31no—
559#380—31no—
560#380—31no—
561#380—31no—
562#380—31no—
563#380—31no—
564#380—31no—
565#380—31no—
566#380—31no—
567#380C2×D311yescharacteristic, complemented
568#379—31no—
569#379—31no—
570C4×C4⋊C4—31no—
571C4×C22⋊C4—31no—
572C4×C22⋊C4—31no—
573C4×C22⋊C4—31no—
574C4×C22⋊C4—31no—
575C4×C22⋊C4—31no—
576C4×C22⋊C4—31no—
577C24×C3C2411yescharacteristic
578C24×C3C2411yescharacteristic
579C23×D3—22no—
580C23×D3—22no—
581C23×D3—22no—
582C23×D3—22no—
583C23×D3—22no—
584C23×D3—41no—
585C23×D3—41no—
586C23×D3C2411yescharacteristic
587C23×D3C2411yescharacteristic
588C23×D3C2411yescharacteristic
589C2×C3×Q8—22no—
590C2×C3×Q8—22no—
591C2×C3×Q8—41no—
592C2×C3×D4—22no—
593C2×C3×D4—41no—
594C2×C3×D4—41no—
595C22×C3×C4—22no—
596C22×C3×C4—22no—
597C22×C3×C4—22no—
598C22×C3×C4—41no—
599C22×C3×C4—41no—
600C22×C3×C4—41no—
601C22×C3×C4C2411yescharacteristic
602C22×C3×C4C2411yescharacteristic
603C22×C3×C4C2411yescharacteristic
604C22×C3×C4C2411yescharacteristic
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
614C2×#67—22no—
615C2×#67—22no—
616C2×#67—22no—
617C2×#67—22no—
618C2×#67—22no—
619C2×#67—22no—
620C2×#67—22no—
621C2×#67—22no—
622C2×#67—41no—
623C2×#67—41no—
624C2×#67—41no—
625C2×#67—41no—
626C22×Dic3—22no—
627C22×Dic3—22no—
628C22×Dic3C2×D414yes—
629C22×Dic3C2411yescharacteristic
630C22×Dic3C2411yescharacteristic
631C22×Dic3C2411yescharacteristic
632C22×Dic3C2411yescharacteristic
633C22×Dic3C2411yescharacteristic
634C22×Dic3C2411yescharacteristic
635C22×Dic3C2411yescharacteristic
636C22×Dic3C2411yescharacteristic
637C22×Dic3C2411yescharacteristic
638C22×Dic3C2411yescharacteristic
639C22×Dic3C2411yescharacteristic
640C22×Dic3C2411yescharacteristic
641C22×Dic3C2411yescharacteristic
642D3×Q8—416no—
643C2×D12—22no—
644C2×D12—22no—
645C2×D12—22no—
646C2×D12—22no—
647C2×D12—41no—
648C2×D12—41no—
649C2×C4×D3—22no—
650C2×C4×D3—22no—
651C2×C4×D3—22no—
652C2×C4×D3—22no—
653C2×C4×D3—22no—
654C2×C4×D3—22no—
655C2×C4×D3—22no—
656C2×C4×D3—22no—
657C2×C4×D3—22no—
658C2×C4×D3—22no—
659C2×C4×D3—22no—
660C2×C4×D3—22no—
661C2×C4×D3—22no—
662C2×C4×D3—22no—
663C2×C4×D3—22no—
664C2×C4×D3—22no—
665C2×C4×D3—22no—
666C2×C4×D3—22no—
667C2×C4×D3—416no—
668C2×C4×D3—41no—
669C2×C4×D3—41no—
670C2×C4×D3—41no—
671C2×C4×D3—41no—
672C2×C4×D3—41no—
673C2×C4×D3—41no—
674C2×C4×D3—41no—
675C2×C4×D3—41no—
676C2×C4×D3#4114yes—
677C2×Dic6—22no—
678C2×Dic6—22no—
679C2×Dic6—22no—
680C2×Dic6—22no—
681C2×Dic6—22no—
682C2×Dic6—22no—
683C2×Dic6—22no—
684C2×Dic6—22no—
685C2×Dic6—22no—
686C2×Dic6—41no—
687C2×Dic6—41no—
688C2×Dic6—41no—
689C2×Dic6—41no—
690C2×Dic6—41no—
691C2×Dic6C2×D414yes—
692C3×C4⋊C4—22no—
693C3×C4⋊C4—22no—
694C3×C4⋊C4—22no—
695C3×C4⋊C4—22no—
696C3×C4⋊C4—22no—
697C3×C4⋊C4—41no—
698C3×C4⋊C4—41no—
699C3×C4⋊C4—41no—
700C3×C22⋊C4—22no—
701C3×C22⋊C4—22no—
702C3×C22⋊C4—22no—
703C3×C22⋊C4—22no—
704C3×C22⋊C4—41no—
705C3×C22⋊C4—41no—
706C3×C22⋊C4—41no—
707C3×C22⋊C4—41no—
708C3×C22⋊C4—41no—
709C3×C22⋊C4C2×D414yes—
710C3×C42—41no—
711#217—22no—
712#217—22no—
713#217—22no—
714#217—22no—
715#217—22no—
716#217—41no—
717#217—41no—
718#217—41no—
719#217—41no—
720#217C2×D414yes—
721(C2×D3)⋊C4—22no—
722(C2×D3)⋊C4—22no—
723(C2×D3)⋊C4—22no—
724(C2×D3)⋊C4—22no—
725(C2×D3)⋊C4—22no—
726(C2×D3)⋊C4—22no—
727(C2×D3)⋊C4—22no—
728(C2×D3)⋊C4—22no—
729(C2×D3)⋊C4—22no—
730(C2×D3)⋊C4—22no—
731(C2×D3)⋊C4—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—41no—
739(C2×D3)⋊C4—41no—
740(C2×D3)⋊C4—41no—
741(C2×D3)⋊C4—41no—
742(C2×D3)⋊C4—41no—
743(C2×D3)⋊C4—41no—
744(C2×D3)⋊C4—41no—
745(C2×D3)⋊C4—41no—
746(C2×D3)⋊C4—41no—
747C4⋊Dic3—22no—
748C4⋊Dic3—22no—
749C4⋊Dic3—22no—
750C4⋊Dic3—41no—
751C4⋊Dic3—41no—
752C4⋊Dic3—41no—
753C4⋊Dic3C2×D414yes—
754Dic3⋊C4—22no—
755Dic3⋊C4—22no—
756Dic3⋊C4—22no—
757Dic3⋊C4—22no—
758Dic3⋊C4—22no—
759Dic3⋊C4—22no—
760Dic3⋊C4—22no—
761Dic3⋊C4—22no—
762Dic3⋊C4—22no—
763Dic3⋊C4—22no—
764Dic3⋊C4—41no—
765Dic3⋊C4—41no—
766Dic3⋊C4—41no—
767Dic3⋊C4—41no—
768Dic3⋊C4—41no—
769Dic3⋊C4—41no—
770Dic3⋊C4—41no—
771Dic3⋊C4—41no—
772Dic3⋊C4C2×D414yes—
773Dic3⋊C4C2×D414yes—
774C4×Dic3—22no—
775C4×Dic3—22no—
776C4×Dic3—22no—
777C4×Dic3—22no—
778C4×Dic3—22no—
779C4×Dic3—22no—
780C4×Dic3—41no—
781C4×Dic3—41no—
782C4×Dic3—41no—
783C25—31no—
784C22×Q8—31no—
785C22×Q8—31no—
786C22×Q8—31no—
787C22×Q8—31no—
788C22×Q8—31no—
789C22×Q8—64no—
790C22×Q8—64no—
791C22×Q8—122no—
792C22×Q8C22×D311yescharacteristic
793C22×D4—31no—
794C22×D4—31no—
795C22×D4—31no—
796C22×D4—31no—
797C22×D4—31no—
798C22×D4—31no—
799C22×D4C22×D311yescharacteristic
800C23×C4—31no—
801C23×C4—31no—
802C23×C4—31no—
803C23×C4—31no—
804C23×C4—31no—
805C23×C4—31no—
806C23×C4—31no—
807C23×C4—31no—
808C23×C4—31no—
809C23×C4—31no—
810C23×C4—64no—
811C23×C4—64no—
812C23×C4—122no—
813C23×C4C22×D311yescharacteristic
814C23×C4C22×D311yescharacteristic
815C4⋊Q8—64no—
816#126—64no—
817#126—64no—
818#124—64no—
819#124—64no—
820#124—64no—
821#124—122no—
822#123—24no—
823#123—64no—
824C22⋊Q8—24no—
825C22⋊Q8—38no—
826C22⋊Q8—64no—
827C22⋊Q8—64no—
828C22⋊Q8—64no—
829C22⋊Q8—64no—
830C22⋊Q8—64no—
831C22⋊Q8—64no—
832C22⋊Q8—64no—
833C22⋊Q8—64no—
834C22⋊Q8—122no—
835C22⋊Q8—122no—
836#121—64no—
837#121—64no—
838#121—122no—
839#120—122no—
840#120—122no—
841C4×Q8—64no—
842C4×Q8—122no—
843C4×D4—64no—
844C4×D4—122no—
845C4×D4—122no—
846#117—64no—
847#117—122no—
848C2×C4⋊C4—31no—
849C2×C4⋊C4—31no—
850C2×C4⋊C4—31no—
851C2×C4⋊C4—31no—
852C2×C4⋊C4—31no—
853C2×C4⋊C4—31no—
854C2×C4⋊C4—31no—
855C2×C4⋊C4—31no—
856C2×C4⋊C4—31no—
857C2×C4⋊C4—31no—
858C2×C4⋊C4—31no—
859C2×C4⋊C4—31no—
860C2×C4⋊C4—31no—
861C2×C4⋊C4—31no—
862C2×C4⋊C4—31no—
863C2×C4⋊C4—31no—
864C2×C4⋊C4—31no—
865C2×C4⋊C4—31no—
866C2×C4⋊C4—31no—
867C2×C4⋊C4—31no—
868C2×C4⋊C4—31no—
869C2×C4⋊C4—31no—
870C2×C4⋊C4—31no—
871C2×C4⋊C4—31no—
872C2×C4⋊C4—31no—
873C2×C4⋊C4—31no—
874C2×C4⋊C4—31no—
875C2×C4⋊C4—64no—
876C2×C4⋊C4—64no—
877C2×C4⋊C4—64no—
878C2×C4⋊C4C22×D311yescharacteristic
879C2×C4⋊C4C22×D311yescharacteristic
880C2×C4⋊C4C22×D311yescharacteristic
881C2×C4⋊C4C22×D311yescharacteristic
882C2×C4⋊C4C22×D311yescharacteristic
883C2×C4⋊C4C22×D311yescharacteristic
884C2×C4⋊C4C22×D311yescharacteristic
885C2×C4⋊C4C22×D311yescharacteristic
886C2×C22⋊C4—31no—
887C2×C22⋊C4—31no—
888C2×C22⋊C4—31no—
889C2×C22⋊C4—31no—
890C2×C22⋊C4—31no—
891C2×C22⋊C4—31no—
892C2×C22⋊C4—31no—
893C2×C22⋊C4—31no—
894C2×C22⋊C4—31no—
895C2×C22⋊C4—31no—
896C2×C22⋊C4—31no—
897C2×C22⋊C4—31no—
898C2×C22⋊C4—31no—
899C2×C22⋊C4—31no—
900C2×C22⋊C4—31no—
901C2×C22⋊C4—31no—
902C2×C22⋊C4—31no—
903C2×C22⋊C4—31no—
904C2×C22⋊C4—31no—
905C2×C22⋊C4—31no—
906C2×C22⋊C4—31no—
907C2×C22⋊C4—31no—
908C2×C22⋊C4—31no—
909C2×C22⋊C4—31no—
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—64no—
923C2×C22⋊C4—64no—
924C2×C22⋊C4C22×D311yescharacteristic
925C2×C22⋊C4C22×D311yescharacteristic
926C2×C22⋊C4C22×D311yescharacteristic
927C2×C22⋊C4C22×D311yescharacteristic
928C2×C22⋊C4C22×D311yescharacteristic
929C2×C22⋊C4C22×D311yescharacteristic
930C2×C22⋊C4C22×D311yescharacteristic
931C2×C22⋊C4C22×D311yescharacteristic
932C2×C22⋊C4C22×D311yescharacteristic
933C2×C22⋊C4C22×D311yescharacteristic
934C2×C42—31no—
935C2×C42—31no—
936C2×C42—31no—
937C2×C42—31no—
938C2×C42—31no—
939C2×C42—31no—
940C2×C42—31no—
941C2×C42—31no—
942C2×C42—31no—
943C2×C42C22×D311yescharacteristic
944#95—31no—
945#95—31no—
946#95—31no—
947#95—31no—
948#95—31no—
949#95—31no—
950#95—31no—
951#95—31no—
952#95—31no—
953#95—31no—
954#95—31no—
955#95—31no—
956#95—31no—
957#95—31no—
958#95—31no—
959#95—31no—
960#95—31no—
961#95—31no—
962#95—31no—
963#95—31no—
964#95—31no—
965#95—31no—
966#95—31no—
967#95—31no—
968#95—31no—
969#95—31no—
970#95C22×D311yescharacteristic
971#95C22×D311yescharacteristic
972#95C22×D311yescharacteristic
973#95C22×D311yescharacteristic
974#95C22×D311yescharacteristic
975#95C22×D311yescharacteristic
976#95C22×D311yescharacteristic
977#95C22×D311yescharacteristic
978#95C22×D311yescharacteristic
979#95C22×D311yescharacteristic
980#95C22×D311yescharacteristic
981#95C22×D311yescharacteristic
982C23×C3—21no—
983C23×C3—21no—
984C23×C3—21no—
985C23×C3—21no—
986C23×C3—21no—
987C23×C3—21no—
988C23×C3—21no—
989C23×C3—21no—
990C23×C3—21no—
991C23×C3—21no—
992C23×C3—21no—
993C23×C3—21no—
994C23×C3—21no—
995C23×C3C22×D412yes—
996C23×C3C2511yescharacteristic
997C22×D3—21no—
998C22×D3—21no—
999C22×D3—21no—
1000C22×D3—21no—
1001C22×D3—28no—
1002C22×D3—21no—
1003C22×D3—21no—
1004C22×D3—21no—
1005C22×D3—21no—
1006C22×D3—21no—
1007C22×D3—21no—
1008C22×D3—21no—
1009C22×D3—21no—
1010C22×D3—21no—
1011C22×D3—21no—
1012C22×D3—21no—
1013C22×D3—21no—
1014C22×D3—21no—
1015C22×D3—44no—
1016C22×D3—44no—
1017C22×D3—44no—
1018C22×D3—44no—
1019C22×D3—44no—
1020C22×D3—44no—
1021C22×D3C2×#4112yes—
1022C22×D3H(5,𝔽2)12yes—
1023C22×D32−1+412yes—
1024C22×D32−1+412yes—
1025C3×Q8—44no—
1026C3×D4—82no—
1027C2×C3×C4—21no—
1028C2×C3×C4—21no—
1029C2×C3×C4—21no—
1030C2×C3×C4—21no—
1031C2×C3×C4—21no—
1032C2×C3×C4—21no—
1033C2×C3×C4—21no—
1034C2×C3×C4—21no—
1035C2×C3×C4—21no—
1036C2×C3×C4—21no—
1037C2×C3×C4—21no—
1038C2×C3×C4—21no—
1039C2×C3×C4—21no—
1040C2×C3×C4—21no—
1041C2×C3×C4—21no—
1042C2×C3×C4—21no—
1043C2×C3×C4—21no—
1044C2×C3×C4—21no—
1045C2×C3×C4—21no—
1046C2×C3×C4—21no—
1047C2×C3×C4—21no—
1048C2×C3×C4—21no—
1049C2×C3×C4—21no—
1050C2×C3×C4—21no—
1051C2×C3×C4—21no—
1052C2×C3×C4—21no—
1053C2×C3×C4—21no—
1054C2×C3×C4—21no—
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—44no—
1064C2×C3×C4—82no—
1065C2×C3×C4C22×D412yes—
1066C2×C3×C4C22×D412yes—
1067C2×C3×C4C2×#4112yes—
1068#67—44no—
1069#67—44no—
1070#67—82no—
1071#67—82no—
1072C2×Dic3—21no—
1073C2×Dic3—21no—
1074C2×Dic3—21no—
1075C2×Dic3—21no—
1076C2×Dic3—21no—
1077C2×Dic3—21no—
1078C2×Dic3—28no—
1079C2×Dic3—21no—
1080C2×Dic3—21no—
1081C2×Dic3—21no—
1082C2×Dic3—21no—
1083C2×Dic3—21no—
1084C2×Dic3—21no—
1085C2×Dic3—21no—
1086C2×Dic3—21no—
1087C2×Dic3—21no—
1088C2×Dic3—21no—
1089C2×Dic3—21no—
1090C2×Dic3—21no—
1091C2×Dic3—21no—
1092C2×Dic3—21no—
1093C2×Dic3—21no—
1094C2×Dic3—21no—
1095C2×Dic3—21no—
1096C2×Dic3—21no—
1097C2×Dic3—21no—
1098C2×Dic3—21no—
1099C2×Dic3—21no—
1100C2×Dic3—21no—
1101C2×Dic3—21no—
1102C2×Dic3—21no—
1103C2×Dic3—21no—
1104C2×Dic3—21no—
1105C2×Dic3—21no—
1106C2×Dic3C22×D412yes—
1107C2×Dic3C22×D412yes—
1108C2×Dic3C22×D412yes—
1109C2×Dic3C22×D412yes—
1110C2×Dic3C2×#4112yes—
1111C2×Dic3H(5,𝔽2)12yes—
1112D12—44no—
1113D12—82no—
1114C4×D3—28no—
1115C4×D3—44no—
1116C4×D3—44no—
1117C4×D3—44no—
1118C4×D3—44no—
1119C4×D3—44no—
1120C4×D3—44no—
1121C4×D3—44no—
1122C4×D3—82no—
1123Dic6—28no—
1124Dic6—44no—
1125Dic6—44no—
1126Dic6—82no—
1127Dic6—82no—
1128C24—31no—
1129C24—31no—
1130C24—31no—
1131C24—62no—
1132C24—62no—
1133C24—62no—
1134C24—62no—
1135C24—62no—
1136C24—121no—
1137C24—121no—
1138C24C23×D311yescharacteristic
1139C24C23×D311yescharacteristic
1140C2×Q8—22no—
1141C2×Q8—22no—
1142C2×Q8—34no—
1143C2×Q8—41no—
1144C2×Q8—62no—
1145C2×Q8—62no—
1146C2×Q8—62no—
1147C2×Q8—62no—
1148C2×Q8—62no—
1149C2×Q8—62no—
1150C2×Q8—62no—
1151C2×Q8—62no—
1152C2×Q8—62no—
1153C2×Q8—121no—
1154C2×Q8—121no—
1155C2×Q8—121no—
1156C2×Q8—121no—
1157C2×Q8—121no—
1158C2×Q8—1216no—
1159C2×D4—22no—
1160C2×D4—41no—
1161C2×D4—41no—
1162C2×D4—62no—
1163C2×D4—62no—
1164C2×D4—62no—
1165C2×D4—62no—
1166C2×D4—62no—
1167C2×D4—62no—
1168C2×D4—62no—
1169C2×D4—62no—
1170C2×D4—62no—
1171C2×D4—62no—
1172C2×D4—62no—
1173C2×D4—62no—
1174C2×D4—121no—
1175C2×D4—121no—
1176C2×D4—121no—
1177C2×D4—121no—
1178C2×D4—121no—
1179C2×D4—121no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—31no—
1184C22×C4—34no—
1185C22×C4—31no—
1186C22×C4—31no—
1187C22×C4—31no—
1188C22×C4—34no—
1189C22×C4—31no—
1190C22×C4—31no—
1191C22×C4—31no—
1192C22×C4—31no—
1193C22×C4—31no—
1194C22×C4—31no—
1195C22×C4—31no—
1196C22×C4—31no—
1197C22×C4—31no—
1198C22×C4—41no—
1199C22×C4—41no—
1200C22×C4—41no—
1201C22×C4—62no—
1202C22×C4—62no—
1203C22×C4—62no—
1204C22×C4—62no—
1205C22×C4—62no—
1206C22×C4—62no—
1207C22×C4—62no—
1208C22×C4—62no—
1209C22×C4—62no—
1210C22×C4—62no—
1211C22×C4—62no—
1212C22×C4—62no—
1213C22×C4—62no—
1214C22×C4—62no—
1215C22×C4—62no—
1216C22×C4—62no—
1217C22×C4—62no—
1218C22×C4—62no—
1219C22×C4—62no—
1220C22×C4—62no—
1221C22×C4—121no—
1222C22×C4—121no—
1223C22×C4—121no—
1224C22×C4—121no—
1225C22×C4—121no—
1226C22×C4—121no—
1227C22×C4—121no—
1228C22×C4—121no—
1229C22×C4—1216no—
1230C22×C4C23×D311yescharacteristic
1231C22×C4C23×D311yescharacteristic
1232C22×C4C23×D311yescharacteristic
1233C22×C4C23×D311yescharacteristic
1234C22×C4C23×D311yescharacteristic
1235C22×C4C23×D311yescharacteristic
1236C22×C4C23×D311yescharacteristic
1237C22×C4C23×D311yescharacteristic
1238C22×C4C23×D311yescharacteristic
1239C22×C4C23×D311yescharacteristic
1240C22×C4C23×D311yescharacteristic
1241C22×C4C23×D311yescharacteristic
1242C22×C4C23×D311yescharacteristic
1243C4⋊C4—22no—
1244C4⋊C4—22no—
1245C4⋊C4—22no—
1246C4⋊C4—22no—
1247C4⋊C4—22no—
1248C4⋊C4—34no—
1249C4⋊C4—34no—
1250C4⋊C4—34no—
1251C4⋊C4—41no—
1252C4⋊C4—41no—
1253C4⋊C4—41no—
1254C4⋊C4—62no—
1255C4⋊C4—62no—
1256C4⋊C4—62no—
1257C4⋊C4—62no—
1258C4⋊C4—62no—
1259C4⋊C4—62no—
1260C4⋊C4—62no—
1261C4⋊C4—62no—
1262C4⋊C4—62no—
1263C4⋊C4—62no—
1264C4⋊C4—62no—
1265C4⋊C4—62no—
1266C4⋊C4—62no—
1267C4⋊C4—121no—
1268C4⋊C4—121no—
1269C4⋊C4—121no—
1270C4⋊C4—121no—
1271C4⋊C4—121no—
1272C4⋊C4—121no—
1273C4⋊C4—121no—
1274C4⋊C4—121no—
1275C4⋊C4—121no—
1276C4⋊C4—121no—
1277C4⋊C4—121no—
1278C22⋊C4—22no—
1279C22⋊C4—22no—
1280C22⋊C4—22no—
1281C22⋊C4—22no—
1282C22⋊C4—34no—
1283C22⋊C4—41no—
1284C22⋊C4—41no—
1285C22⋊C4—41no—
1286C22⋊C4—41no—
1287C22⋊C4—41no—
1288C22⋊C4—62no—
1289C22⋊C4—62no—
1290C22⋊C4—62no—
1291C22⋊C4—62no—
1292C22⋊C4—62no—
1293C22⋊C4—62no—
1294C22⋊C4—62no—
1295C22⋊C4—62no—
1296C22⋊C4—62no—
1297C22⋊C4—62no—
1298C22⋊C4—62no—
1299C22⋊C4—62no—
1300C22⋊C4—62no—
1301C22⋊C4—62no—
1302C22⋊C4—62no—
1303C22⋊C4—62no—
1304C22⋊C4—62no—
1305C22⋊C4—62no—
1306C22⋊C4—62no—
1307C22⋊C4—62no—
1308C22⋊C4—62no—
1309C22⋊C4—62no—
1310C22⋊C4—121no—
1311C22⋊C4—121no—
1312C22⋊C4—121no—
1313C22⋊C4—121no—
1314C22⋊C4—121no—
1315C22⋊C4—121no—
1316C22⋊C4—121no—
1317C22⋊C4—121no—
1318C22⋊C4—121no—
1319C22⋊C4—121no—
1320C22⋊C4—121no—
1321C22⋊C4—121no—
1322C22⋊C4—121no—
1323C22⋊C4D3×D414yes—
1324C42—41no—
1325C42—62no—
1326C42—62no—
1327C42—62no—
1328C42—62no—
1329C42—62no—
1330C42—62no—
1331C42—121no—
1332C42—121no—
1333C42—121no—
1334C22×C3—22no—
1335C22×C3—22no—
1336C22×C3—22no—
1337C22×C3—41no—
1338C22×C3—41no—
1339C22×C3—41no—
1340C22×C3—41no—
1341C22×C3—41no—
1342C22×C3—41no—
1343C22×C3—41no—
1344C22×C3—41no—
1345C22×C3—41no—
1346C22×C3—41no—
1347C22×C3—41no—
1348C22×C3C23×D411yescharacteristic
1349C22×C3C22×#4111yescharacteristic
1350C22×C3C2×H(5,𝔽2)11yescharacteristic
1351C22×C3C2×H(5,𝔽2)11yescharacteristic
1352C22×C3C2×2−1+411yescharacteristic
1353C22×C3C2×2−1+411yescharacteristic
1354C22×C3#58511yescharacteristic
1355C2×D3—22no—
1356C2×D3—22no—
1357C2×D3—22no—
1358C2×D3—22no—
1359C2×D3—22no—
1360C2×D3—22no—
1361C2×D3—22no—
1362C2×D3—22no—
1363C2×D3—22no—
1364C2×D3—416no—
1365C2×D3—41no—
1366C2×D3—41no—
1367C2×D3—41no—
1368C2×D3—41no—
1369C2×D3—41no—
1370C2×D3—41no—
1371C2×D3—41no—
1372C2×D3—41no—
1373C2×D3—41no—
1374C2×D3—41no—
1375C2×D3—41no—
1376C2×D3#54214yescomplemented
1377C3×C4—22no—
1378C3×C4—22no—
1379C3×C4—22no—
1380C3×C4—41no—
1381C3×C4—41no—
1382C3×C4—41no—
1383C3×C4—41no—
1384C3×C4—41no—
1385C3×C4—41no—
1386C3×C4—41no—
1387C3×C4—41no—
1388C3×C4—41no—
1389C3×C4—41no—
1390Dic3—22no—
1391Dic3—22no—
1392Dic3—22no—
1393Dic3—41no—
1394Dic3—41no—
1395Dic3—41no—
1396Dic3—41no—
1397Dic3—41no—
1398Dic3—41no—
1399Dic3—41no—
1400Dic3—41no—
1401Dic3—41no—
1402Dic3#54614yes—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—32no—
1417C23—32no—
1418C23—32no—
1419C23—32no—
1420C23—68no—
1421C23—61no—
1422C23—61no—
1423C23—61no—
1424C23—61no—
1425C23—61no—
1426C23—61no—
1427C23—61no—
1428C23—61no—
1429C23—61no—
1430C23—61no—
1431C23—61no—
1432C23—61no—
1433C23—61no—
1434C23—61no—
1435C23—61no—
1436C23—61no—
1437C23—61no—
1438C23—124no—
1439C23—124no—
1440C23—124no—
1441C23—124no—
1442C23—124no—
1443C23—124no—
1444C23C2×D3×D412yes—
1445C23C24×D311yescharacteristic
1446Q8—44no—
1447Q8—68no—
1448Q8—124no—
1449Q8—124no—
1450Q8—242no—
1451Q8—242no—
1452D4—82no—
1453D4—124no—
1454D4—124no—
1455D4—124no—
1456D4—242no—
1457D4—242no—
1458D4—242no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—32no—
1496C2×C4—32no—
1497C2×C4—32no—
1498C2×C4—32no—
1499C2×C4—32no—
1500C2×C4—32no—
1501C2×C4—44no—
1502C2×C4—68no—
1503C2×C4—68no—
1504C2×C4—61no—
1505C2×C4—61no—
1506C2×C4—61no—
1507C2×C4—61no—
1508C2×C4—61no—
1509C2×C4—61no—
1510C2×C4—61no—
1511C2×C4—61no—
1512C2×C4—61no—
1513C2×C4—61no—
1514C2×C4—61no—
1515C2×C4—61no—
1516C2×C4—61no—
1517C2×C4—61no—
1518C2×C4—61no—
1519C2×C4—61no—
1520C2×C4—61no—
1521C2×C4—61no—
1522C2×C4—61no—
1523C2×C4—61no—
1524C2×C4—61no—
1525C2×C4—61no—
1526C2×C4—61no—
1527C2×C4—61no—
1528C2×C4—61no—
1529C2×C4—61no—
1530C2×C4—61no—
1531C2×C4—61no—
1532C2×C4—61no—
1533C2×C4—61no—
1534C2×C4—61no—
1535C2×C4—61no—
1536C2×C4—61no—
1537C2×C4—82no—
1538C2×C4—124no—
1539C2×C4—124no—
1540C2×C4—124no—
1541C2×C4—124no—
1542C2×C4—124no—
1543C2×C4—124no—
1544C2×C4—124no—
1545C2×C4—242no—
1546C2×C4C2×D3×D412yes—
1547C2×C4C2×D3×D412yes—
1548C2×C4D3×#4112yes—
1549C2×C3—42no—
1550C2×C3—81no—
1551C2×C3C2×#54211yescharacteristic
1552C2×C3C2×#54611yescharacteristic
1553C2×C3#348611yescharacteristic
1554C2×C3#348811yescharacteristic
1555C2×C3#349511yescharacteristic
1556C2×C3#353611yescharacteristic
1557C2×C3#354111yescharacteristic
1558D3—24no—
1559D3—42no—
1560D3—81no—
1561C22—22no—
1562C22—22no—
1563C22—22no—
1564C22—34no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—62no—
1577C22—62no—
1578C22—62no—
1579C22—62no—
1580C22—62no—
1581C22—62no—
1582C22—62no—
1583C22—62no—
1584C22—62no—
1585C22—1216no—
1586C22—121no—
1587C22—121no—
1588C22—121no—
1589C22—121no—
1590C22—121no—
1591C22—121no—
1592C22—121no—
1593C22—121no—
1594C22—121no—
1595C22—121no—
1596C22—121no—
1597C22C22×D3×D411yescharacteristic
1598C22C2×D3×#4111yescharacteristic
1599C22#596411yescharacteristic
1600C22D3×H(5,𝔽2)11yescharacteristic
1601C22D3×H(5,𝔽2)11yescharacteristic
1602C22D3×2−1+411yescharacteristic
1603C22D3×2−1+411yescharacteristic
1604C4—22no—
1605C4—22no—
1606C4—22no—
1607C4—34no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—41no—
1612C4—41no—
1613C4—41no—
1614C4—41no—
1615C4—41no—
1616C4—41no—
1617C4—41no—
1618C4—62no—
1619C4—62no—
1620C4—62no—
1621C4—121no—
1622C4—121no—
1623C4—121no—
1624C4—121no—
1625C4—121no—
1626C4—121no—
1627C4—121no—
1628C4—121no—
1629C4—121no—
1630C3#3766511yescharacteristic, complemented, Sylow
1631C2—42no—
1632C2—64no—
1633C2—81no—
1634C2—122no—
1635C2—241no—
1636C2#8635511yescharacteristic
1637C2#8643711yescharacteristic
1638C2D3×#54211yescharacteristic
1639C2#8662911yescharacteristic
1640C2D3×#54611yescharacteristic
1641C2#8683111yescharacteristic
1642C2#8709511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2687C2
prime radical#74935C2
hypercenter#2687D3
hypocenterC3#37665
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2687

Complements

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

NH ≅ G/Ntype
1. C2×#5662C2semidirect
2. C2×D3×C22⋊Q8C2semidirect
3. C3×#2687C2semidirect
4. #82896C2semidirect
5. #82800C2semidirect
6. #78148C2semidirect
7. #78144C2semidirect
8. #77851C2semidirect
9. #77745C2semidirect
10. #77743C2semidirect
11. #77742C2semidirect
12. #77669C2semidirect
13. #77540C2semidirect
14. #76972C2semidirect
15. #76926C2semidirect
16. #76828C2semidirect
17. #76781C2semidirect
18. #76614C2semidirect
19. #76564C2semidirect
20. #75542C2semidirect
21. #75527C2semidirect
22. #75499C2semidirect
23. #75460C2semidirect
25. #74811C2semidirect
26. #74516C2semidirect
27. #74397C2semidirect
28. #74094C2semidirect
29. #74050C2semidirect
30. #73895C2semidirect
31. #73888C2semidirect
42. C2×C4×#67C22semidirect
44. C2×#924C22semidirect
47. C2×#898C22semidirect
53. C2×#896C22semidirect
58. C2×#888C22semidirect
59. C2×#887C22semidirect
61. C2×#885C22semidirect
62. C2×#885C22semidirect
69. C2×#879C22semidirect
74. C2×C4×Dic6C22semidirect
75. C3×#400C22semidirect
76. C3×#398C22semidirect
77. C3×#398C22semidirect
80. C3×#393C22semidirect
81. C3×#391C22semidirect
83. C3×#388C22semidirect
85. C3×#385C22semidirect
87. C3×#380C22semidirect
88. #5231C22semidirect
89. #5229C22semidirect
94. #4994C22semidirect
95. #4994C22semidirect
98. #4992C22semidirect
102. #4990C22semidirect
105. #4982C22semidirect
106. #4979C22semidirect
107. #4978C22semidirect
108. #4976C22semidirect
109. #4976C22semidirect
110. #4975C22semidirect
111. #4973C22semidirect
112. #4972C22semidirect
118. #4957C22semidirect
129. #4952C22semidirect
131. #4951C22semidirect
132. #4948C22semidirect
133. #4948C22semidirect
134. #4948C22semidirect
135. #4947C22semidirect
141. #4933C22semidirect
142. #4676C22semidirect
145. #4673C22semidirect
149. #4669C22semidirect
151. #4668C22semidirect
159. #4667C22semidirect
171. #4661C22semidirect
172. #4660C22semidirect
173. #4660C22semidirect
174. #4658C22semidirect
175. #4657C22semidirect
176. #4657C22semidirect
177. #4656C22semidirect
178. #4653C22semidirect
179. #4652C22semidirect
180. #4649C22semidirect
181. #4647C22semidirect
182. #4647C22semidirect
183. #4646C22semidirect
184. #4646C22semidirect
185. #4646C22semidirect
186. #4646C22semidirect
187. #4646C22semidirect
188. #4646C22semidirect
189. #4646C22semidirect
200. #2687D3semidirect
378. #878D4semidirect
465. #400C2×D3semidirect
472. #398C2×D3semidirect
473. #398C2×D3semidirect
501. #393C2×D3semidirect
511. #391C2×D3semidirect
531. #388C2×D3semidirect
553. #385C2×D3semidirect
567. #380C2×D3semidirect
1376. C2×D3#542semidirect
1630. C3#37665semidirect

Maximal subgroups

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

subgroupindex
C2×#56622
C2×D3×C22⋊Q82
C3×#26872
#828962
#828002
#781482
#781442
#778512
#777452
#777432
#777422
#776692
#775402
#769722
#769262
#768282
#767812
#766142
#765642
#755422
#755272
#754992
#754602
#749352
#748112
#745162
#743972
#740942
#740502
#738952
#738882
#376653