Finite Group Databasebeta

← #11097597

Subgroups — #11097597

Order 768.

2368 conjugacy classes of subgroups.

The subgroup lattice has 1630 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5644C211yesmaximal, characteristic
2C2×#5632C211yesmaximal, characteristic, complemented
3C3×#2549C211yesmaximal, characteristic, complemented
4#82781C211yesmaximal, characteristic, complemented
5#82769C211yesmaximal, characteristic, complemented
6#78007C211yesmaximal, characteristic, complemented
7#77970C211yesmaximal, characteristic, complemented
8#77925C211yesmaximal, characteristic, complemented
9#77857C211yesmaximal, characteristic, complemented
10#77267C211yesmaximal, characteristic, complemented
11#77260C211yesmaximal, characteristic, complemented
12#77256C211yesmaximal, characteristic, complemented
13#77203C211yesmaximal, characteristic, complemented
14#76649C211yesmaximal, characteristic, complemented
15#76643C211yesmaximal, characteristic, complemented
16#76570C211yesmaximal, characteristic, complemented
17#76500C211yesmaximal, characteristic, complemented
18#76259C211yesmaximal, characteristic, complemented
19#76258C211yesmaximal, characteristic, complemented
20#76255C211yesmaximal, characteristic, complemented
21#76097C211yesmaximal, characteristic, complemented
22#74621C211yesmaximal, characteristic, complemented
23#74603C211yesmaximal, characteristic, complemented
24#74419C211yesmaximal, characteristic, complemented
25#74405C211yesmaximal, characteristic, complemented
26#74021C211yesmaximal, characteristic, complemented
27#73943C211yesmaximal, characteristic, complemented
28#73594C211yesmaximal, characteristic, complemented
29#73462C211yesmaximal, characteristic, complemented
30#73377C211yesmaximal, characteristic, complemented
31C2×#4673C211yesmaximal, characteristic, complemented
32#40491—31nomaximal, Sylow
33C22×D3×Q8C2211yescharacteristic, complemented
34C23×Dic6C2211yescharacteristic
35C2×C3×C22⋊Q8C2211yescharacteristic
36C2×C3×C22⋊Q8C2211yescharacteristic
37C2×#947C2211yescharacteristic
38C2×#947C2211yescharacteristic
39C2×#947C2211yescharacteristic
40C2×#944C2211yescharacteristic, complemented
41C2×#930C2211yescharacteristic
42C2×C4×#67C2211yescharacteristic
43C22×(C2×D3)⋊C4C2211yescharacteristic
44C22×(C2×D3)⋊C4C2211yescharacteristic
45C22×(C2×D3)⋊C4C2211yescharacteristic
46#5644—28no—
47#5632—28no—
48C2×#898C2211yescharacteristic
49C2×#898C2211yescharacteristic
50C2×#897C2211yescharacteristic, complemented
51C2×#896C2211yescharacteristic, complemented
52C2×#896C2211yescharacteristic, complemented
53C2×#896C2211yescharacteristic, complemented
54C2×#896C2211yescharacteristic, complemented
55C2×#895C2211yescharacteristic
56C2×#895C2211yescharacteristic
57C2×#894C2211yescharacteristic
58C2×#894C2211yescharacteristic
59C2×#894C2211yescharacteristic
60C2×#894C2211yescharacteristic
61C2×#888C2211yescharacteristic, complemented
62C2×#888C2211yescharacteristic, complemented
63C2×#887C2211yescharacteristic, complemented
64C2×#882C2211yescharacteristic
65C2×#882C2211yescharacteristic
66C2×#67⋊C4C2211yescharacteristic
67C2×#67⋊C4C2211yescharacteristic
68C2×#67⋊C4C2211yescharacteristic
69C2×#878C2211yescharacteristic
70C2×#878C2211yescharacteristic
71C2×#875C2211yescharacteristic
72C3×#398C2211yescharacteristic, complemented
73C3×#398C2211yescharacteristic, complemented
74C3×#395C2211yescharacteristic, complemented
75C3×#395C2211yescharacteristic, complemented
76C3×#391C2211yescharacteristic, complemented
77C3×#391C2211yescharacteristic, complemented
78C3×#389C2211yescharacteristic, complemented
79C3×#389C2211yescharacteristic, complemented
80C3×#385C2211yescharacteristic
81C3×#385C2211yescharacteristic
82C3×#380C2211yescharacteristic
83C3×C4×C22⋊C4C2211yescharacteristic
84C2×C3×#95C2211yescharacteristic
85#5231C2211yescharacteristic
86#5230C2211yescharacteristic, complemented
87#5229C2211yescharacteristic, complemented
88#5213C2211yescharacteristic
89#5213C2211yescharacteristic
90#5213C2211yescharacteristic
91#5210C2211yescharacteristic
92C2×C3⋊#95C2211yescharacteristic
93C2×C3⋊#95C2211yescharacteristic
94#4994C2211yescharacteristic
95#4994C2211yescharacteristic
96#4993C2211yescharacteristic
97#4993C2211yescharacteristic
98#4993C2211yescharacteristic
99#4993C2211yescharacteristic
100#4993C2211yescharacteristic, complemented
101#4992C2211yescharacteristic
102#4992C2211yescharacteristic, complemented
103#4991C2211yescharacteristic
104#4991C2211yescharacteristic
105#4991C2211yescharacteristic
106#4991C2211yescharacteristic
107#4991C2211yescharacteristic, complemented
108#4990C2211yescharacteristic
109#4990C2211yescharacteristic
110#4990C2211yescharacteristic
111#4990C2211yescharacteristic
112#4990C2211yescharacteristic, complemented
113#4989C2211yescharacteristic, complemented
114#4988C2211yescharacteristic
115#4983C2211yescharacteristic, complemented
116#4981C2211yescharacteristic, complemented
117#4980C2211yescharacteristic, complemented
118#4980C2211yescharacteristic, complemented
119#4979C2211yescharacteristic, complemented
120#4979C2211yescharacteristic, complemented
121#4979C2211yescharacteristic, complemented
122#4979C2211yescharacteristic, complemented
123#4976C2211yescharacteristic, complemented
124#4976C2211yescharacteristic, complemented
125#4973C2211yescharacteristic, complemented
126#4958C2211yescharacteristic
127#4958C2211yescharacteristic
128#4958C2211yescharacteristic
129#4955C2211yescharacteristic
130#4955C2211yescharacteristic
131#4946C2211yescharacteristic
132#4942C2211yescharacteristic
133#4942C2211yescharacteristic
134Dic3×C22⋊C4C2211yescharacteristic
135#4940C2211yescharacteristic
136#4940C2211yescharacteristic
137#4940C2211yescharacteristic, complemented
138#4939C2211yescharacteristic
139C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
140#4933C2211yescharacteristic, complemented
141#4932C2211yescharacteristic, complemented
142#4676C2211yescharacteristic
143#4676C2211yescharacteristic
144#4675C2211yescharacteristic
145#4675C2211yescharacteristic
146#4675C2211yescharacteristic, complemented
147#4675C2211yescharacteristic, complemented
148#4675C2211yescharacteristic, complemented
149#4674C2211yescharacteristic
150#4673C2211yescharacteristic
151#4673C2211yescharacteristic
152#4673C2211yescharacteristic
153#4673C2211yescharacteristic
154#4673C2211yescharacteristic
155#4673C2211yescharacteristic
156#4673C2211yescharacteristic
157#4673C2211yescharacteristic
158#4673C2211yescharacteristic
159#4673C2211yescharacteristic
160#4673C2211yescharacteristic
161#4673C2211yescharacteristic, complemented
162#4673C2211yescharacteristic, complemented
163#4673C2211yescharacteristic, complemented
164#4672C2211yescharacteristic
165#4672C2211yescharacteristic
166#4672C2211yescharacteristic
167#4672C2211yescharacteristic
168#4672C2211yescharacteristic, complemented
169#4669C2211yescharacteristic
170#4669C2211yescharacteristic
171#4669C2211yescharacteristic, complemented
172#4669C2211yescharacteristic, complemented
173#4668C2211yescharacteristic, complemented
174#4665C2211yescharacteristic
175#4665C2211yescharacteristic
176#4665C2211yescharacteristic, complemented
177#4665C2211yescharacteristic, complemented
178#4664C2211yescharacteristic, complemented
179#4664C2211yescharacteristic, complemented
180#4664C2211yescharacteristic, complemented
181#4660C2211yescharacteristic, complemented
182#4660C2211yescharacteristic, complemented
183#4658C2211yescharacteristic, complemented
184#4655C2211yescharacteristic, complemented
185#4652C2211yescharacteristic, complemented
186#4652C2211yescharacteristic, complemented
187#4651C2211yescharacteristic, complemented
188#4646C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×D4×Q8—31no—
191C2×#538—31no—
192#2821—31no—
193#2816—31no—
194#2716—31no—
195#2716—31no—
196#2700—31no—
197#2700—31no—
198#2681—31no—
199#2681—31no—
200#2674—31no—
201#2674—31no—
202#2663—31no—
203#2640—31no—
204#2632—31no—
205#2626—31no—
206#2614—31no—
207#2604—31no—
208#2564—31no—
209#2549—31no—
210#2549D311yescharacteristic, complemented
211#2472—31no—
212#2472—31no—
213#2444—31no—
214#2444—31no—
215#2436—31no—
216#2418—31no—
217#2418—31no—
218#2409—31no—
219C2×#393—31no—
220#2353—31no—
221C24×D3C2311yescharacteristic
222C22×C3×Q8C2311yescharacteristic
223C22×C3×Q8C2311yescharacteristic
224C23×C3×C4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C23×Dic3C2311yescharacteristic
230C23×Dic3C2311yescharacteristic
231C23×Dic3C2311yescharacteristic
232C2×D3×Q8—24no—
233C2×D3×Q8—42no—
234C2×D3×Q8—42no—
235C22×D12C2311yescharacteristic
236C22×D12C2311yescharacteristic
237C22×D12C2311yescharacteristic
238C22×D12C2311yescharacteristic
239C22×D12C2311yescharacteristic
240C22×C4×D3C2311yescharacteristic
241C22×C4×D3C2311yescharacteristic
242C22×C4×D3C2311yescharacteristic
243C22×C4×D3C2311yescharacteristic
244C22×Dic6—24no—
245C22×Dic6—42no—
246C22×Dic6—42no—
247C22×Dic6C2311yescharacteristic
248C22×Dic6C2311yescharacteristic
249C22×Dic6C2311yescharacteristic
250C22×Dic6C2311yescharacteristic
251C22×Dic6C2311yescharacteristic
252C22×Dic6C2311yescharacteristic
253C3×C22⋊Q8—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×C4⋊C4C2311yescharacteristic
264C2×C3×C4⋊C4C2311yescharacteristic
265C2×C3×C4⋊C4C2311yescharacteristic
266C2×C3×C4⋊C4C2311yescharacteristic
267C2×C3×C22⋊C4C2311yescharacteristic
268C2×C3×C22⋊C4C2311yescharacteristic
269C2×C3×C22⋊C4C2311yescharacteristic
270C2×C3×C22⋊C4C2311yescharacteristic
271C2×C3×C42C2311yescharacteristic
272C2×C3×C42C2311yescharacteristic
273C2×#217C2311yescharacteristic
274C2×#217C2311yescharacteristic
275#947—24no—
276#947—24no—
277#947—42no—
278#944—24no—
279#930—24no—
280C4×#67—24no—
281C2×(C2×D3)⋊C4—24no—
282C2×(C2×D3)⋊C4—42no—
283C2×(C2×D3)⋊C4—42no—
284C2×(C2×D3)⋊C4C2311yescharacteristic
285C2×(C2×D3)⋊C4C2311yescharacteristic
286C2×(C2×D3)⋊C4C2311yescharacteristic
287C2×(C2×D3)⋊C4C2311yescharacteristic
288C2×(C2×D3)⋊C4C2311yescharacteristic
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×C4⋊Dic3C2311yescharacteristic
327C2×C4⋊Dic3C2311yescharacteristic
328C2×C4⋊Dic3C2311yescharacteristic
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
351#898—24no—
352#898—24no—
353#897—24no—
354#896—24no—
355#896—24no—
356#896—42no—
357#896—42no—
358#895—24no—
359#895—24no—
360#894—24no—
361#894—24no—
362#894—42no—
363#894—42no—
364#888—24no—
365#888—24no—
366#887—24no—
367#882—24no—
368#882—24no—
369#67⋊C4—24no—
370#67⋊C4—24no—
371#67⋊C4D418yes—
372#878—24no—
373#878—24no—
374#875—42no—
375C3×#95C2311yescharacteristic
376C3×#95C2311yescharacteristic
377C3×#95C2311yescharacteristic
378C3×#95C2311yescharacteristic
379C3×#95C2311yescharacteristic
380C3×#95C2311yescharacteristic
381C3×#95C2311yescharacteristic
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
417C23×Q8—31no—
418C23×Q8—31no—
419D4×Q8—68no—
420#538—68no—
421C2×C4⋊Q8—31no—
422C2×C4⋊Q8—31no—
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×#123—31no—
432C2×#123—31no—
433C2×#123—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⋊Q8C2×D311yescharacteristic
442C2×C22⋊Q8C2×D311yescharacteristic
443C2×#121—31no—
444C2×#121—31no—
445C2×#121—31no—
446C2×#120—31no—
447C2×#120—31no—
448C2×C4×Q8—31no—
449C2×C4×D4—31no—
450C2×C4×D4—31no—
451C2×C4×D4—31no—
452C2×C4×D4—31no—
453C22×C22⋊C4—31no—
454C22×C22⋊C4—31no—
455C22×C22⋊C4—31no—
456#400—31no—
457#400—31no—
458#400—31no—
459#399—31no—
460#399—31no—
461#399—31no—
462#399—31no—
463#399—31no—
464#398—31no—
465#398—31no—
466#398C2×D311yescharacteristic, complemented
467#398C2×D311yescharacteristic, complemented
468#397—31no—
469#397—31no—
470#397—31no—
471#397—31no—
472#397—31no—
473#397—31no—
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#395—31no—
483#395—31no—
484#395—31no—
485#395C2×D311yescharacteristic, complemented
486#395C2×D311yescharacteristic, complemented
487#394—31no—
488#394—31no—
489#394—31no—
490#394—31no—
491#394—31no—
492#394—31no—
493#394—31no—
494#394—31no—
495#394—31no—
496#394—31no—
497#393—31no—
498#393—31no—
499#393—31no—
500#393—31no—
501#393—31no—
502#393—31no—
503#393—31no—
504#393—31no—
505#393—31no—
506#393—31no—
507#393—31no—
508#393—31no—
509#393—31no—
510#393—31no—
511#393—31no—
512#391—31no—
513#391—31no—
514#391—31no—
515#391—31no—
516#391C2×D311yescharacteristic, complemented
517#391C2×D311yescharacteristic, complemented
518#390—31no—
519#390—31no—
520#389—31no—
521#389—31no—
522#389C2×D311yescharacteristic, complemented
523#389C2×D311yescharacteristic, complemented
524#388—31no—
525#388—31no—
526#388—31no—
527#388—31no—
528#388—31no—
529#388—31no—
530#388—31no—
531#388—31no—
532#388—31no—
533#388—31no—
534#388—31no—
535#388—31no—
536#387—31no—
537#387—31no—
538#387—31no—
539#387—31no—
540#387—31no—
541#387—31no—
542#386—31no—
543#386—31no—
544#386—31no—
545#386—31no—
546#386—31no—
547#386—31no—
548#386—31no—
549#386—31no—
550#386—31no—
551#386—31no—
552#385—31no—
553#385—31no—
554#385—31no—
555#385—31no—
556#385C2×D311yescharacteristic
557#385C2×D311yescharacteristic
558#383—31no—
559#381—31no—
560#381—31no—
561#381—31no—
562#380—31no—
563#380—31no—
564#380C2×D311yescharacteristic
565#379—31no—
566#379—31no—
567C4×C22⋊C4—31no—
568C4×C22⋊C4—31no—
569C4×C22⋊C4C2×D311yescharacteristic
570#376—31no—
571C2×#95—31no—
572C2×#95—31no—
573C2×#95C2×D311yescharacteristic
574C24×C3C2411yescharacteristic
575C23×D3—22no—
576C23×D3—22no—
577C23×D3—22no—
578C23×D3—41no—
579C23×D3—41no—
580C23×D3—41no—
581C23×D3—41no—
582C23×D3C2411yescharacteristic
583C23×D3C2411yescharacteristic
584C23×D3C2411yescharacteristic
585C23×D3C2411yescharacteristic
586C2×C3×Q8—22no—
587C2×C3×Q8—22no—
588C2×C3×Q8—22no—
589C2×C3×Q8—41no—
590C2×C3×Q8—41no—
591C2×C3×Q8—41no—
592C22×C3×C4—22no—
593C22×C3×C4—22no—
594C22×C3×C4—22no—
595C22×C3×C4—22no—
596C22×C3×C4—41no—
597C22×C3×C4—41no—
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
614C22×C3×C4C2411yescharacteristic
615C2×#67—22no—
616C2×#67—22no—
617C2×#67—22no—
618C2×#67—22no—
619C2×#67—22no—
620C2×#67C2×D414yes—
621C22×Dic3—22no—
622C22×Dic3—22no—
623C22×Dic3—22no—
624C22×Dic3—41no—
625C22×Dic3—41no—
626C22×Dic3—41no—
627C22×Dic3—41no—
628C22×Dic3—41no—
629C22×Dic3C2×D414yes—
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—22no—
648C2×D12—41no—
649C2×D12—41no—
650C2×D12—41no—
651C2×D12—41no—
652C2×D12—41no—
653C2×D12—41no—
654C2×D12—41no—
655C2×D12—41no—
656C2×D12—41no—
657C2×D12—41no—
658C2×C4×D3—22no—
659C2×C4×D3—22no—
660C2×C4×D3—22no—
661C2×C4×D3—22no—
662C2×C4×D3—22no—
663C2×C4×D3—41no—
664C2×C4×D3—41no—
665C2×C4×D3—41no—
666C2×C4×D3—41no—
667C2×C4×D3—41no—
668C2×C4×D3—41no—
669C2×C4×D3C2×D414yes—
670C2×Dic6—22no—
671C2×Dic6—22no—
672C2×Dic6—22no—
673C2×Dic6—22no—
674C2×Dic6—22no—
675C2×Dic6—22no—
676C2×Dic6—22no—
677C2×Dic6—22no—
678C2×Dic6—22no—
679C2×Dic6—22no—
680C2×Dic6—22no—
681C2×Dic6—416no—
682C2×Dic6—41no—
683C2×Dic6—41no—
684C2×Dic6—41no—
685C2×Dic6—41no—
686C2×Dic6—41no—
687C2×Dic6—41no—
688C2×Dic6—41no—
689C3×C4⋊C4—22no—
690C3×C4⋊C4—22no—
691C3×C4⋊C4—22no—
692C3×C4⋊C4—22no—
693C3×C4⋊C4—22no—
694C3×C4⋊C4—22no—
695C3×C4⋊C4—22no—
696C3×C4⋊C4—41no—
697C3×C4⋊C4—41no—
698C3×C4⋊C4—41no—
699C3×C4⋊C4—41no—
700C3×C4⋊C4—41no—
701C3×C22⋊C4—22no—
702C3×C22⋊C4—22no—
703C3×C22⋊C4—22no—
704C3×C22⋊C4C2×D414yes—
705C3×C42—41no—
706C3×C42—41no—
707#217—22no—
708#217—22no—
709(C2×D3)⋊C4—22no—
710(C2×D3)⋊C4—22no—
711(C2×D3)⋊C4—22no—
712(C2×D3)⋊C4—22no—
713(C2×D3)⋊C4—22no—
714(C2×D3)⋊C4—22no—
715(C2×D3)⋊C4—22no—
716(C2×D3)⋊C4—22no—
717(C2×D3)⋊C4—22no—
718(C2×D3)⋊C4—22no—
719(C2×D3)⋊C4—22no—
720(C2×D3)⋊C4—22no—
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—41no—
729(C2×D3)⋊C4—41no—
730(C2×D3)⋊C4—41no—
731(C2×D3)⋊C4—41no—
732(C2×D3)⋊C4—41no—
733(C2×D3)⋊C4—41no—
734(C2×D3)⋊C4—41no—
735(C2×D3)⋊C4—41no—
736(C2×D3)⋊C4—41no—
737(C2×D3)⋊C4—41no—
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—
747(C2×D3)⋊C4—41no—
748(C2×D3)⋊C4—41no—
749(C2×D3)⋊C4—41no—
750(C2×D3)⋊C4C2×D414yes—
751C4⋊Dic3—22no—
752C4⋊Dic3—22no—
753C4⋊Dic3—22no—
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—41no—
763Dic3⋊C4—41no—
764Dic3⋊C4—41no—
765Dic3⋊C4—41no—
766Dic3⋊C4—41no—
767Dic3⋊C4—41no—
768Dic3⋊C4—41no—
769Dic3⋊C4C2×D414yes—
770C4×Dic3—22no—
771C4×Dic3—22no—
772C4×Dic3—22no—
773C4×Dic3—41no—
774C4×Dic3—41no—
775C4×Dic3C2×D414yes—
776C25—31no—
777C22×Q8—31no—
778C22×Q8—31no—
779C22×Q8—31no—
780C22×Q8—31no—
781C22×Q8—31no—
782C22×Q8—31no—
783C22×Q8—64no—
784C22×Q8—64no—
785C22×Q8—122no—
786C22×Q8—122no—
787C22×Q8—122no—
788C22×Q8—122no—
789C22×Q8C22×D311yescharacteristic
790C22×Q8C22×D311yescharacteristic
791C22×D4—31no—
792C22×D4—31no—
793C22×D4—31no—
794C22×D4—31no—
795C22×D4—31no—
796C22×D4—31no—
797C22×D4—31no—
798C23×C4—31no—
799C23×C4—31no—
800C23×C4—31no—
801C23×C4—31no—
802C23×C4—31no—
803C23×C4—31no—
804C23×C4—31no—
805C23×C4C22×D311yescharacteristic
806C23×C4C22×D311yescharacteristic
807C23×C4C22×D311yescharacteristic
808C4⋊Q8—64no—
809C4⋊Q8—64no—
810C4⋊Q8—64no—
811#126—64no—
812#126—64no—
813#124—64no—
814#124—64no—
815#124—122no—
816#124—122no—
817#123—64no—
818#123—64no—
819#123—122no—
820#123—122no—
821C22⋊Q8—24no—
822C22⋊Q8—24no—
823C22⋊Q8—64no—
824C22⋊Q8—64no—
825C22⋊Q8—64no—
826C22⋊Q8—64no—
827C22⋊Q8—64no—
828C22⋊Q8—122no—
829C22⋊Q8—122no—
830#121—64no—
831#121—64no—
832#121—64no—
833#120—64no—
834#120—64no—
835C4×Q8—64no—
836C4×D4—38no—
837C4×D4—64no—
838C4×D4—64no—
839C4×D4—64no—
840C2×C4⋊C4—31no—
841C2×C4⋊C4—31no—
842C2×C4⋊C4—31no—
843C2×C4⋊C4—31no—
844C2×C4⋊C4—31no—
845C2×C4⋊C4—31no—
846C2×C4⋊C4—31no—
847C2×C4⋊C4—31no—
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⋊C4C22×D311yescharacteristic
860C2×C4⋊C4C22×D311yescharacteristic
861C2×C4⋊C4C22×D311yescharacteristic
862C2×C4⋊C4C22×D311yescharacteristic
863C2×C4⋊C4C22×D311yescharacteristic
864C2×C4⋊C4C22×D311yescharacteristic
865C2×C4⋊C4C22×D311yescharacteristic
866C2×C4⋊C4C22×D311yescharacteristic
867C2×C4⋊C4C22×D311yescharacteristic
868C2×C4⋊C4C22×D311yescharacteristic
869C2×C4⋊C4C22×D311yescharacteristic
870C2×C4⋊C4C22×D311yescharacteristic
871C2×C22⋊C4—31no—
872C2×C22⋊C4—31no—
873C2×C22⋊C4—31no—
874C2×C22⋊C4—31no—
875C2×C22⋊C4—31no—
876C2×C22⋊C4—31no—
877C2×C22⋊C4—31no—
878C2×C22⋊C4—31no—
879C2×C22⋊C4—31no—
880C2×C22⋊C4—31no—
881C2×C22⋊C4—31no—
882C2×C22⋊C4—31no—
883C2×C22⋊C4—31no—
884C2×C22⋊C4—31no—
885C2×C22⋊C4—31no—
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—64no—
916C2×C22⋊C4—122no—
917C2×C22⋊C4—122no—
918C2×C22⋊C4C22×D311yescharacteristic
919C2×C22⋊C4C22×D311yescharacteristic
920C2×C22⋊C4C22×D311yescharacteristic
921C2×C22⋊C4C22×D311yescharacteristic
922C2×C42—31no—
923C2×C42—31no—
924C2×C42—31no—
925C2×C42—31no—
926C2×C42—31no—
927C2×C42—31no—
928C2×C42C22×D311yescharacteristic
929C2×C42C22×D311yescharacteristic
930#95—31no—
931#95—31no—
932#95—31no—
933#95—31no—
934#95—31no—
935#95—31no—
936#95—31no—
937#95—31no—
938#95—31no—
939#95—31no—
940#95—31no—
941#95—31no—
942#95—31no—
943#95—31no—
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#95C22×D311yescharacteristic
961#95C22×D311yescharacteristic
962#95C22×D311yescharacteristic
963#95C22×D311yescharacteristic
964#95C22×D311yescharacteristic
965#95C22×D311yescharacteristic
966#95C22×D311yescharacteristic
967#95C22×D311yescharacteristic
968#95C22×D311yescharacteristic
969#95C22×D311yescharacteristic
970#95C22×D311yescharacteristic
971#95C22×D311yescharacteristic
972C23×C3—21no—
973C23×C3—21no—
974C23×C3—21no—
975C23×C3—21no—
976C23×C3C22×D412yes—
977C23×C32−1+412yes—
978C23×C32−1+412yes—
979C23×C3C2511yescharacteristic
980C22×D3—21no—
981C22×D3—21no—
982C22×D3—21no—
983C22×D3—21no—
984C22×D3—21no—
985C22×D3—21no—
986C22×D3—21no—
987C22×D3—21no—
988C22×D3—21no—
989C22×D3—21no—
990C22×D3—21no—
991C22×D3—21no—
992C22×D3—21no—
993C22×D3—21no—
994C22×D3—21no—
995C22×D3—21no—
996C22×D3—21no—
997C22×D3—21no—
998C22×D3—21no—
999C22×D3—21no—
1000C22×D3—21no—
1001C22×D3—21no—
1002C22×D3—21no—
1003C22×D3—21no—
1004C22×D3—21no—
1005C22×D3—21no—
1006C22×D3—21no—
1007C22×D3—44no—
1008C22×D3—44no—
1009C22×D3—44no—
1010C22×D3—82no—
1011C22×D3—82no—
1012C22×D3—82no—
1013C22×D3—82no—
1014C22×D3C22×D412yes—
1015C3×Q8—44no—
1016C3×Q8—82no—
1017C2×C3×C4—21no—
1018C2×C3×C4—21no—
1019C2×C3×C4—21no—
1020C2×C3×C4—21no—
1021C2×C3×C4—21no—
1022C2×C3×C4—21no—
1023C2×C3×C4—21no—
1024C2×C3×C4—21no—
1025C2×C3×C4—21no—
1026C2×C3×C4—21no—
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—44no—
1057C2×C3×C4—82no—
1058C2×C3×C4—82no—
1059C2×C3×C4C22×D412yes—
1060C2×C3×C4C22×D412yes—
1061C2×C3×C4H(5,𝔽2)12yes—
1062#67—28no—
1063#67—44no—
1064C2×Dic3—21no—
1065C2×Dic3—21no—
1066C2×Dic3—21no—
1067C2×Dic3—21no—
1068C2×Dic3—21no—
1069C2×Dic3—21no—
1070C2×Dic3—21no—
1071C2×Dic3—21no—
1072C2×Dic3—21no—
1073C2×Dic3—21no—
1074C2×Dic3—21no—
1075C2×Dic3—21no—
1076C2×Dic3—21no—
1077C2×Dic3—21no—
1078C2×Dic3—21no—
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—44no—
1097C2×Dic3—44no—
1098C2×Dic3—82no—
1099C2×Dic3C22×D412yes—
1100C2×Dic3C22×D412yes—
1101C2×Dic3C22×D412yes—
1102C2×Dic3H(5,𝔽2)12yes—
1103D12—82no—
1104D12—82no—
1105D12—82no—
1106D12—82no—
1107D12—82no—
1108C4×D3—44no—
1109C4×D3—44no—
1110C4×D3—44no—
1111C4×D3—82no—
1112Dic6—28no—
1113Dic6—44no—
1114Dic6—44no—
1115Dic6—44no—
1116Dic6—44no—
1117Dic6—44no—
1118C24—31no—
1119C24—31no—
1120C24—31no—
1121C24—31no—
1122C24—62no—
1123C24—62no—
1124C24—62no—
1125C24—121no—
1126C24—121no—
1127C24—121no—
1128C24—121no—
1129C24C23×D311yescharacteristic
1130C2×Q8—22no—
1131C2×Q8—22no—
1132C2×Q8—22no—
1133C2×Q8—41no—
1134C2×Q8—41no—
1135C2×Q8—41no—
1136C2×Q8—62no—
1137C2×Q8—62no—
1138C2×Q8—62no—
1139C2×Q8—62no—
1140C2×Q8—62no—
1141C2×Q8—62no—
1142C2×Q8—62no—
1143C2×Q8—62no—
1144C2×Q8—62no—
1145C2×Q8—62no—
1146C2×Q8—62no—
1147C2×Q8—121no—
1148C2×Q8—121no—
1149C2×Q8—121no—
1150C2×Q8—121no—
1151C2×Q8—121no—
1152C2×Q8—121no—
1153C2×Q8—121no—
1154C2×Q8—1216no—
1155C2×Q8—1216no—
1156C2×D4—34no—
1157C2×D4—62no—
1158C2×D4—62no—
1159C2×D4—62no—
1160C2×D4—62no—
1161C2×D4—62no—
1162C2×D4—62no—
1163C2×D4—62no—
1164C2×D4—62no—
1165C2×D4—62no—
1166C2×D4—62no—
1167C2×D4—121no—
1168C2×D4—121no—
1169C2×D4—121no—
1170C2×D4—121no—
1171C2×D4—121no—
1172C2×D4—121no—
1173C2×D4—121no—
1174C2×D4—121no—
1175C2×D4—121no—
1176C2×D4—121no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—31no—
1182C22×C4—31no—
1183C22×C4—31no—
1184C22×C4—31no—
1185C22×C4—34no—
1186C22×C4—34no—
1187C22×C4—31no—
1188C22×C4—31no—
1189C22×C4—31no—
1190C22×C4—31no—
1191C22×C4—31no—
1192C22×C4—31no—
1193C22×C4—31no—
1194C22×C4—31no—
1195C22×C4—41no—
1196C22×C4—41no—
1197C22×C4—41no—
1198C22×C4—41no—
1199C22×C4—41no—
1200C22×C4—62no—
1201C22×C4—62no—
1202C22×C4—62no—
1203C22×C4—62no—
1204C22×C4—62no—
1205C22×C4—62no—
1206C22×C4—62no—
1207C22×C4—62no—
1208C22×C4—121no—
1209C22×C4—121no—
1210C22×C4—121no—
1211C22×C4—121no—
1212C22×C4—121no—
1213C22×C4—121no—
1214C22×C4—121no—
1215C22×C4—121no—
1216C22×C4—121no—
1217C22×C4—121no—
1218C22×C4—121no—
1219C22×C4C23×D311yescharacteristic
1220C22×C4C23×D311yescharacteristic
1221C22×C4C23×D311yescharacteristic
1222C22×C4C23×D311yescharacteristic
1223C22×C4C23×D311yescharacteristic
1224C22×C4C23×D311yescharacteristic
1225C22×C4C23×D311yescharacteristic
1226C22×C4C23×D311yescharacteristic
1227C22×C4C23×D311yescharacteristic
1228C22×C4C23×D311yescharacteristic
1229C22×C4C23×D311yescharacteristic
1230C22×C4C23×D311yescharacteristic
1231C22×C4C23×D311yescharacteristic
1232C22×C4C23×D311yescharacteristic
1233C4⋊C4—22no—
1234C4⋊C4—22no—
1235C4⋊C4—22no—
1236C4⋊C4—22no—
1237C4⋊C4—22no—
1238C4⋊C4—22no—
1239C4⋊C4—22no—
1240C4⋊C4—34no—
1241C4⋊C4—41no—
1242C4⋊C4—41no—
1243C4⋊C4—41no—
1244C4⋊C4—41no—
1245C4⋊C4—41no—
1246C4⋊C4—62no—
1247C4⋊C4—62no—
1248C4⋊C4—62no—
1249C4⋊C4—62no—
1250C4⋊C4—62no—
1251C4⋊C4—62no—
1252C4⋊C4—62no—
1253C4⋊C4—62no—
1254C4⋊C4—62no—
1255C4⋊C4—62no—
1256C4⋊C4—62no—
1257C4⋊C4—121no—
1258C4⋊C4—121no—
1259C4⋊C4—121no—
1260C4⋊C4—121no—
1261C4⋊C4—121no—
1262C4⋊C4—121no—
1263C4⋊C4—121no—
1264C22⋊C4—22no—
1265C22⋊C4—22no—
1266C22⋊C4—22no—
1267C22⋊C4—34no—
1268C22⋊C4—62no—
1269C22⋊C4—62no—
1270C22⋊C4—62no—
1271C22⋊C4—62no—
1272C22⋊C4—62no—
1273C22⋊C4—62no—
1274C22⋊C4—62no—
1275C22⋊C4—62no—
1276C22⋊C4—62no—
1277C22⋊C4—62no—
1278C22⋊C4—62no—
1279C22⋊C4—62no—
1280C22⋊C4—62no—
1281C22⋊C4—62no—
1282C22⋊C4—62no—
1283C22⋊C4—62no—
1284C22⋊C4—62no—
1285C22⋊C4—62no—
1286C22⋊C4—62no—
1287C22⋊C4—62no—
1288C22⋊C4—62no—
1289C22⋊C4—121no—
1290C22⋊C4—121no—
1291C22⋊C4—121no—
1292C22⋊C4—121no—
1293C22⋊C4—121no—
1294C22⋊C4—121no—
1295C22⋊C4—121no—
1296C22⋊C4—121no—
1297C22⋊C4—121no—
1298C22⋊C4—121no—
1299C22⋊C4—121no—
1300C22⋊C4—121no—
1301C22⋊C4—121no—
1302C22⋊C4—121no—
1303C22⋊C4—121no—
1304C22⋊C4—121no—
1305C22⋊C4—121no—
1306C22⋊C4—121no—
1307C22⋊C4—121no—
1308C22⋊C4—121no—
1309C22⋊C4—121no—
1310C22⋊C4—121no—
1311C22⋊C4D3×D414yes—
1312C42—34no—
1313C42—41no—
1314C42—41no—
1315C42—62no—
1316C42—62no—
1317C42—62no—
1318C42—121no—
1319C42—121no—
1320C22×C3—22no—
1321C22×C3—22no—
1322C22×C3—22no—
1323C22×C3—22no—
1324C22×C3—22no—
1325C22×C3—22no—
1326C22×C3#53614yes—
1327C22×C3C23×D411yescharacteristic
1328C22×C3C2×H(5,𝔽2)11yescharacteristic
1329C22×C3C2×H(5,𝔽2)11yescharacteristic
1330C22×C3C2×2−1+411yescharacteristic
1331C22×C3C2×2−1+411yescharacteristic
1332C22×C3#58511yescharacteristic
1333C22×C3#58511yescharacteristic
1334C2×D3—22no—
1335C2×D3—22no—
1336C2×D3—22no—
1337C2×D3—41no—
1338C2×D3—41no—
1339C2×D3—41no—
1340C2×D3—41no—
1341C2×D3—41no—
1342C2×D3—41no—
1343C2×D3—41no—
1344C2×D3—41no—
1345C2×D3—41no—
1346C2×D3—41no—
1347C2×D3—41no—
1348C2×D3—41no—
1349C2×D3—41no—
1350C2×D3—41no—
1351C2×D3—41no—
1352C2×D3—41no—
1353C2×D3—41no—
1354C2×D3—41no—
1355C2×D3—41no—
1356C2×D3—41no—
1357C2×D3—41no—
1358C2×D3—41no—
1359C2×D3—41no—
1360C2×D3—41no—
1361C2×D3—41no—
1362C2×D3—88no—
1363C3×C4—22no—
1364C3×C4—22no—
1365C3×C4—22no—
1366C3×C4—41no—
1367C3×C4—41no—
1368C3×C4—41no—
1369C3×C4—41no—
1370C3×C4—41no—
1371C3×C4—41no—
1372C3×C4—41no—
1373C3×C4—41no—
1374C3×C4—41no—
1375C3×C4—41no—
1376C3×C4—41no—
1377Dic3—22no—
1378Dic3—22no—
1379Dic3—22no—
1380Dic3—22no—
1381Dic3—41no—
1382Dic3—41no—
1383Dic3—41no—
1384Dic3—41no—
1385Dic3—41no—
1386Dic3—41no—
1387Dic3—41no—
1388Dic3—41no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—32no—
1394C23—61no—
1395C23—61no—
1396C23—61no—
1397C23—61no—
1398C23—61no—
1399C23—61no—
1400C23—61no—
1401C23—61no—
1402C23—61no—
1403C23—61no—
1404C23—61no—
1405C23—61no—
1406C23—61no—
1407C23—61no—
1408C23—61no—
1409C23—61no—
1410C23—61no—
1411C23—61no—
1412C23—61no—
1413C23—61no—
1414C23—61no—
1415C23—61no—
1416C23—61no—
1417C23—61no—
1418C23—61no—
1419C23—61no—
1420C23—61no—
1421C23—124no—
1422C23—124no—
1423C23—124no—
1424C23—242no—
1425C23—242no—
1426C23—242no—
1427C23—242no—
1428C23C2×D3×D412yes—
1429C23#100712yes—
1430C23#100712yes—
1431C23C24×D311yescharacteristic
1432Q8—44no—
1433Q8—68no—
1434Q8—82no—
1435Q8—124no—
1436Q8—124no—
1437Q8—124no—
1438Q8—124no—
1439Q8—124no—
1440D4—68no—
1441D4—124no—
1442D4—242no—
1443D4—242no—
1444D4—242no—
1445D4—242no—
1446D4—242no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
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—32no—
1487C2×C4—32no—
1488C2×C4—32no—
1489C2×C4—32no—
1490C2×C4—44no—
1491C2×C4—61no—
1492C2×C4—61no—
1493C2×C4—61no—
1494C2×C4—61no—
1495C2×C4—61no—
1496C2×C4—61no—
1497C2×C4—61no—
1498C2×C4—61no—
1499C2×C4—61no—
1500C2×C4—61no—
1501C2×C4—61no—
1502C2×C4—61no—
1503C2×C4—61no—
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—82no—
1524C2×C4—82no—
1525C2×C4—124no—
1526C2×C4—124no—
1527C2×C4—124no—
1528C2×C4—124no—
1529C2×C4—124no—
1530C2×C4—242no—
1531C2×C4—242no—
1532C2×C4C2×D3×D412yes—
1533C2×C4C2×D3×D412yes—
1534C2×C4#100912yes—
1535C2×C3—24no—
1536C2×C3C2×#53611yescharacteristic
1537C2×C3#348411yescharacteristic
1538C2×C3#350011yescharacteristic
1539C2×C3#354111yescharacteristic
1540C2×C3#354111yescharacteristic
1541C2×C3#356111yescharacteristic
1542C2×C3#356111yescharacteristic
1543D3—42no—
1544D3—81no—
1545D3—81no—
1546D3—81no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—62no—
1554C22—62no—
1555C22—62no—
1556C22—121no—
1557C22—121no—
1558C22—121no—
1559C22—121no—
1560C22—121no—
1561C22—121no—
1562C22—121no—
1563C22—121no—
1564C22—121no—
1565C22—121no—
1566C22—121no—
1567C22—121no—
1568C22—121no—
1569C22—121no—
1570C22—121no—
1571C22—121no—
1572C22—121no—
1573C22—121no—
1574C22—121no—
1575C22—121no—
1576C22—121no—
1577C22—121no—
1578C22—121no—
1579C22—121no—
1580C22—121no—
1581C22—248no—
1582C22#572414yes—
1583C22C22×D3×D411yescharacteristic
1584C22C2×#100711yescharacteristic
1585C22C2×#100711yescharacteristic
1586C22C2×#100911yescharacteristic
1587C22#596411yescharacteristic
1588C22D3×H(5,𝔽2)11yescharacteristic
1589C22#596611yescharacteristic
1590C4—22no—
1591C4—22no—
1592C4—22no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—62no—
1605C4—62no—
1606C4—62no—
1607C4—62no—
1608C4—121no—
1609C4—121no—
1610C4—121no—
1611C4—121no—
1612C4—121no—
1613C4—121no—
1614C4—121no—
1615C4—121no—
1616C3#4049111yescharacteristic, complemented, Sylow
1617C2—24no—
1618C2—122no—
1619C2—241no—
1620C2—241no—
1621C2—241no—
1622C2C2×#572411yescharacteristic
1623C2#8629111yescharacteristic
1624C2#8657611yescharacteristic
1625C2#8663211yescharacteristic
1626C2#8666211yescharacteristic
1627C2#8693711yescharacteristic
1628C2#8693811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2549C2
prime radicalC2×#5644C2
hypercenter#2549D3
hypocenterC3#40491
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2549

Complements

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

NH ≅ G/Ntype
2. C2×#5632C2semidirect
3. C3×#2549C2semidirect
4. #82781C2semidirect
5. #82769C2semidirect
6. #78007C2semidirect
7. #77970C2semidirect
8. #77925C2semidirect
9. #77857C2semidirect
10. #77267C2semidirect
11. #77260C2semidirect
12. #77256C2semidirect
13. #77203C2semidirect
14. #76649C2semidirect
15. #76643C2semidirect
16. #76570C2semidirect
17. #76500C2semidirect
18. #76259C2semidirect
19. #76258C2semidirect
20. #76255C2semidirect
21. #76097C2semidirect
22. #74621C2semidirect
23. #74603C2semidirect
24. #74419C2semidirect
25. #74405C2semidirect
26. #74021C2semidirect
27. #73943C2semidirect
28. #73594C2semidirect
29. #73462C2semidirect
30. #73377C2semidirect
31. C2×#4673C2semidirect
33. C22×D3×Q8C22semidirect
40. C2×#944C22semidirect
50. C2×#897C22semidirect
51. C2×#896C22semidirect
52. C2×#896C22semidirect
53. C2×#896C22semidirect
54. C2×#896C22semidirect
61. C2×#888C22semidirect
62. C2×#888C22semidirect
63. C2×#887C22semidirect
72. C3×#398C22semidirect
73. C3×#398C22semidirect
74. C3×#395C22semidirect
75. C3×#395C22semidirect
76. C3×#391C22semidirect
77. C3×#391C22semidirect
78. C3×#389C22semidirect
79. C3×#389C22semidirect
86. #5230C22semidirect
87. #5229C22semidirect
100. #4993C22semidirect
102. #4992C22semidirect
107. #4991C22semidirect
112. #4990C22semidirect
113. #4989C22semidirect
115. #4983C22semidirect
116. #4981C22semidirect
117. #4980C22semidirect
118. #4980C22semidirect
119. #4979C22semidirect
120. #4979C22semidirect
121. #4979C22semidirect
122. #4979C22semidirect
123. #4976C22semidirect
124. #4976C22semidirect
125. #4973C22semidirect
137. #4940C22semidirect
139. C4×(C2×D3)⋊C4C22semidirect
140. #4933C22semidirect
141. #4932C22semidirect
146. #4675C22semidirect
147. #4675C22semidirect
148. #4675C22semidirect
161. #4673C22semidirect
162. #4673C22semidirect
163. #4673C22semidirect
168. #4672C22semidirect
171. #4669C22semidirect
172. #4669C22semidirect
173. #4668C22semidirect
176. #4665C22semidirect
177. #4665C22semidirect
178. #4664C22semidirect
179. #4664C22semidirect
180. #4664C22semidirect
181. #4660C22semidirect
182. #4660C22semidirect
183. #4658C22semidirect
184. #4655C22semidirect
185. #4652C22semidirect
186. #4652C22semidirect
187. #4651C22semidirect
188. #4646C22semidirect
189. #4646C22semidirect
210. #2549D3semidirect
466. #398C2×D3semidirect
467. #398C2×D3semidirect
485. #395C2×D3semidirect
486. #395C2×D3semidirect
516. #391C2×D3semidirect
517. #391C2×D3semidirect
522. #389C2×D3semidirect
523. #389C2×D3semidirect
1616. C3#40491semidirect

Maximal subgroups

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

subgroupindex
C2×#56442
C2×#56322
C3×#25492
#827812
#827692
#780072
#779702
#779252
#778572
#772672
#772602
#772562
#772032
#766492
#766432
#765702
#765002
#762592
#762582
#762552
#760972
#746212
#746032
#744192
#744052
#740212
#739432
#735942
#734622
#733772
C2×#46732
#404913