Finite Group Databasebeta

← #11098199

Subgroups — #11098199

Order 768.

2252 conjugacy classes of subgroups.

The subgroup lattice has 1618 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5644C211yesmaximal, characteristic
2C2×#5636C211yesmaximal, characteristic, complemented
3C3×#2549C211yesmaximal, characteristic, complemented
4#82769C211yesmaximal, characteristic, complemented
5#82763C211yesmaximal, characteristic, complemented
6#77970C211yesmaximal, characteristic, complemented
7#77962C211yesmaximal, characteristic, complemented
8#77863C211yesmaximal, characteristic, complemented
9#77825C211yesmaximal, characteristic, complemented
10#77275C211yesmaximal, characteristic, complemented
11#77274C211yesmaximal, characteristic, complemented
12#77260C211yesmaximal, characteristic, complemented
13#77260C211yesmaximal, characteristic, complemented
14#76649C211yesmaximal, characteristic, complemented
15#76640C211yesmaximal, characteristic, complemented
16#76570C211yesmaximal, characteristic, complemented
17#76534C211yesmaximal, characteristic, complemented
18#76257C211yesmaximal, characteristic, complemented
19#76208C211yesmaximal, characteristic, complemented
20#76110C211yesmaximal, characteristic, complemented
21#76108C211yesmaximal, characteristic, complemented
22#74621C211yesmaximal, characteristic, complemented
23#74603C211yesmaximal, characteristic, complemented
24#74486C211yesmaximal, characteristic, complemented
25#74418C211yesmaximal, characteristic, complemented
26#74021C211yesmaximal, characteristic, complemented
27#73889C211yesmaximal, characteristic, complemented
28#73594C211yesmaximal, characteristic, complemented
29#73461C211yesmaximal, characteristic, complemented
30#73377C211yesmaximal, characteristic, complemented
31C2×#4676C211yesmaximal, characteristic, complemented
32#40513—31nomaximal, Sylow
33C2×C3×C22⋊Q8C2211yescharacteristic
34C2×C3×C22⋊Q8C2211yescharacteristic
35C2×#947C2211yescharacteristic
36C2×#947C2211yescharacteristic
37C2×#947C2211yescharacteristic
38C2×#946C2211yescharacteristic, complemented
39C2×#944C2211yescharacteristic, complemented
40C2×#944C2211yescharacteristic, complemented
41C2×#930C2211yescharacteristic
42C2×C4×#67C2211yescharacteristic
43C22×(C2×D3)⋊C4C2211yescharacteristic
44C22×(C2×D3)⋊C4C2211yescharacteristic
45C22×(C2×D3)⋊C4C2211yescharacteristic
46C22×Dic3⋊C4C2211yescharacteristic
47C22×Dic3⋊C4C2211yescharacteristic
48C22×Dic3⋊C4C2211yescharacteristic
49#5644—28no—
50#5636—28no—
51C2×#898C2211yescharacteristic
52C2×#898C2211yescharacteristic
53C2×#896C2211yescharacteristic, complemented
54C2×#896C2211yescharacteristic, complemented
55C2×#896C2211yescharacteristic, complemented
56C2×#895C2211yescharacteristic
57C2×#895C2211yescharacteristic
58C2×#894C2211yescharacteristic
59C2×#894C2211yescharacteristic
60C2×#894C2211yescharacteristic
61C2×#894C2211yescharacteristic
62C2×#894C2211yescharacteristic, complemented
63C2×D3×C4⋊C4C2211yescharacteristic, complemented
64C2×#889C2211yescharacteristic, complemented
65C2×#889C2211yescharacteristic, complemented
66C2×#887C2211yescharacteristic, complemented
67C2×#882C2211yescharacteristic
68C2×#882C2211yescharacteristic
69C2×#67⋊C4C2211yescharacteristic
70C2×#67⋊C4C2211yescharacteristic
71C2×#67⋊C4C2211yescharacteristic
72C2×#878C2211yescharacteristic
73C2×#878C2211yescharacteristic
74C2×#875C2211yescharacteristic
75C2×#872C2211yescharacteristic, complemented
76C3×#398C2211yescharacteristic, complemented
77C3×#398C2211yescharacteristic, complemented
78C3×#395C2211yescharacteristic, complemented
79C3×#395C2211yescharacteristic, complemented
80C3×#391C2211yescharacteristic, complemented
81C3×#391C2211yescharacteristic, complemented
82C3×#389C2211yescharacteristic, complemented
83C3×#389C2211yescharacteristic, complemented
84C3×#385C2211yescharacteristic
85C3×#385C2211yescharacteristic
86C3×#380C2211yescharacteristic
87C3×C4×C22⋊C4C2211yescharacteristic
88C2×C3×#95C2211yescharacteristic
89#5231C2211yescharacteristic
90#5230C2211yescharacteristic, complemented
91#5213C2211yescharacteristic
92#5213C2211yescharacteristic
93#5213C2211yescharacteristic
94#5210C2211yescharacteristic
95#4994C2211yescharacteristic
96#4994C2211yescharacteristic
97#4994C2211yescharacteristic, complemented
98#4993C2211yescharacteristic
99#4993C2211yescharacteristic
100#4993C2211yescharacteristic
101#4993C2211yescharacteristic
102#4993C2211yescharacteristic, complemented
103#4992C2211yescharacteristic
104#4991C2211yescharacteristic
105#4991C2211yescharacteristic
106#4991C2211yescharacteristic
107#4991C2211yescharacteristic
108#4990C2211yescharacteristic
109#4990C2211yescharacteristic
110#4990C2211yescharacteristic
111#4990C2211yescharacteristic
112#4989C2211yescharacteristic, complemented
113#4989C2211yescharacteristic, complemented
114#4989C2211yescharacteristic, complemented
115#4988C2211yescharacteristic
116#4983C2211yescharacteristic, complemented
117#4983C2211yescharacteristic, complemented
118#4983C2211yescharacteristic, complemented
119#4983C2211yescharacteristic, complemented
120#4982C2211yescharacteristic, complemented
121#4981C2211yescharacteristic, complemented
122#4979C2211yescharacteristic, complemented
123#4976C2211yescharacteristic, complemented
124#4976C2211yescharacteristic, complemented
125#4976C2211yescharacteristic, complemented
126#4975C2211yescharacteristic, complemented
127#4958C2211yescharacteristic
128#4958C2211yescharacteristic
129#4958C2211yescharacteristic
130#4955C2211yescharacteristic
131#4955C2211yescharacteristic
132#4946C2211yescharacteristic
133#4942C2211yescharacteristic
134#4942C2211yescharacteristic
135Dic3×C22⋊C4C2211yescharacteristic
136#4940C2211yescharacteristic
137#4940C2211yescharacteristic
138#4940C2211yescharacteristic, complemented
139#4939C2211yescharacteristic
140#4933C2211yescharacteristic, complemented
141C4×Dic3⋊C4C2211yescharacteristic, complemented
142#4676C2211yescharacteristic
143#4676C2211yescharacteristic
144#4676C2211yescharacteristic
145#4676C2211yescharacteristic
146#4676C2211yescharacteristic
147#4676C2211yescharacteristic
148#4676C2211yescharacteristic
149#4676C2211yescharacteristic
150#4676C2211yescharacteristic
151#4676C2211yescharacteristic
152#4676C2211yescharacteristic, complemented
153#4676C2211yescharacteristic, complemented
154#4676C2211yescharacteristic, complemented
155#4675C2211yescharacteristic
156#4675C2211yescharacteristic
157#4675C2211yescharacteristic, complemented
158#4675C2211yescharacteristic, complemented
159#4675C2211yescharacteristic, complemented
160#4674C2211yescharacteristic
161#4673C2211yescharacteristic
162#4673C2211yescharacteristic
163#4673C2211yescharacteristic
164#4672C2211yescharacteristic
165#4672C2211yescharacteristic
166#4672C2211yescharacteristic
167#4672C2211yescharacteristic
168#4672C2211yescharacteristic, complemented
169#4672C2211yescharacteristic, complemented
170#4669C2211yescharacteristic
171#4669C2211yescharacteristic
172#4669C2211yescharacteristic, complemented
173#4669C2211yescharacteristic, complemented
174#4669C2211yescharacteristic, complemented
175#4667C2211yescharacteristic, complemented
176#4667C2211yescharacteristic, complemented
177#4665C2211yescharacteristic
178#4665C2211yescharacteristic
179#4665C2211yescharacteristic, complemented
180#4664C2211yescharacteristic, complemented
181#4660C2211yescharacteristic, complemented
182#4657C2211yescharacteristic, complemented
183#4655C2211yescharacteristic, complemented
184#4655C2211yescharacteristic, complemented
185#4652C2211yescharacteristic, complemented
186#4652C2211yescharacteristic, complemented
187#4652C2211yescharacteristic, complemented
188#4650C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#554—31no—
191C2×#538—31no—
192#2820—31no—
193#2814—31no—
194#2721—31no—
195#2716—31no—
196#2700—31no—
197#2694—31no—
198#2681—31no—
199#2674—31no—
200#2674—31no—
201#2672—31no—
202#2664—31no—
203#2637—31no—
204#2626—31no—
205#2620—31no—
206#2618—31no—
207#2579—31no—
208#2549D311yescharacteristic, complemented
209#2545—31no—
210#2472—31no—
211#2472—31no—
212#2444—31no—
213#2443—31no—
214#2440—31no—
215#2418—31no—
216#2418—31no—
217#2417—31no—
218#2413—31no—
219C2×#396—31no—
220#2352—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
232C22×D12C2311yescharacteristic
233C22×D12C2311yescharacteristic
234C22×D12C2311yescharacteristic
235C22×D12C2311yescharacteristic
236C22×D12C2311yescharacteristic
237C22×C4×D3C2311yescharacteristic
238C22×C4×D3C2311yescharacteristic
239C22×C4×D3C2311yescharacteristic
240C22×C4×D3C2311yescharacteristic
241C22×Dic6C2311yescharacteristic
242C22×Dic6C2311yescharacteristic
243C3×C22⋊Q8—24no—
244C3×C22⋊Q8—24no—
245C2×C3×C4⋊C4C2311yescharacteristic
246C2×C3×C4⋊C4C2311yescharacteristic
247C2×C3×C4⋊C4C2311yescharacteristic
248C2×C3×C4⋊C4C2311yescharacteristic
249C2×C3×C4⋊C4C2311yescharacteristic
250C2×C3×C4⋊C4C2311yescharacteristic
251C2×C3×C4⋊C4C2311yescharacteristic
252C2×C3×C4⋊C4C2311yescharacteristic
253C2×C3×C4⋊C4C2311yescharacteristic
254C2×C3×C4⋊C4C2311yescharacteristic
255C2×C3×C4⋊C4C2311yescharacteristic
256C2×C3×C4⋊C4C2311yescharacteristic
257C2×C3×C22⋊C4C2311yescharacteristic
258C2×C3×C22⋊C4C2311yescharacteristic
259C2×C3×C22⋊C4C2311yescharacteristic
260C2×C3×C22⋊C4C2311yescharacteristic
261C2×C3×C42C2311yescharacteristic
262C2×C3×C42C2311yescharacteristic
263C2×#217C2311yescharacteristic
264C2×#217C2311yescharacteristic
265#947—24no—
266#947—24no—
267#947—42no—
268#946—24no—
269#944—24no—
270#944—42no—
271#930—24no—
272C4×#67—24no—
273C2×(C2×D3)⋊C4—24no—
274C2×(C2×D3)⋊C4—42no—
275C2×(C2×D3)⋊C4—42no—
276C2×(C2×D3)⋊C4C2311yescharacteristic
277C2×(C2×D3)⋊C4C2311yescharacteristic
278C2×(C2×D3)⋊C4C2311yescharacteristic
279C2×(C2×D3)⋊C4C2311yescharacteristic
280C2×(C2×D3)⋊C4C2311yescharacteristic
281C2×(C2×D3)⋊C4C2311yescharacteristic
282C2×(C2×D3)⋊C4C2311yescharacteristic
283C2×(C2×D3)⋊C4C2311yescharacteristic
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×C4⋊Dic3C2311yescharacteristic
319C2×C4⋊Dic3C2311yescharacteristic
320C2×C4⋊Dic3C2311yescharacteristic
321C2×Dic3⋊C4—24no—
322C2×Dic3⋊C4—42no—
323C2×Dic3⋊C4—42no—
324C2×Dic3⋊C4C2311yescharacteristic
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×Dic3⋊C4C2311yescharacteristic
346C2×Dic3⋊C4C2311yescharacteristic
347C2×Dic3⋊C4C2311yescharacteristic
348C2×Dic3⋊C4C2311yescharacteristic
349C2×Dic3⋊C4C2311yescharacteristic
350C2×Dic3⋊C4C2311yescharacteristic
351C2×Dic3⋊C4C2311yescharacteristic
352C2×C4×Dic3C2311yescharacteristic
353C2×C4×Dic3C2311yescharacteristic
354C2×C4×Dic3C2311yescharacteristic
355C2×C4×Dic3C2311yescharacteristic
356C2×C4×Dic3C2311yescharacteristic
357C2×C4×Dic3C2311yescharacteristic
358#898—24no—
359#898—24no—
360#896—24no—
361#896—24no—
362#896—42no—
363#895—24no—
364#895—24no—
365#894—24no—
366#894—24no—
367#894—42no—
368#894—42no—
369#894—42no—
370D3×C4⋊C4—24no—
371#889—24no—
372#889—24no—
373#887—24no—
374#882—24no—
375#882—24no—
376#67⋊C4—24no—
377#67⋊C4—24no—
378#67⋊C4D418yes—
379#878—24no—
380#878—24no—
381#875—42no—
382#872—42no—
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
417#554—68no—
418#538—68no—
419C2×C4⋊Q8—31no—
420C2×C4⋊Q8—31no—
421C2×#126—31no—
422C2×#126—31no—
423C2×#125—31no—
424C2×#125—31no—
425C2×#124—31no—
426C2×#124—31no—
427C2×#124—31no—
428C2×#124—31no—
429C2×#123—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⋊Q8C2×D311yescharacteristic
441C2×C22⋊Q8C2×D311yescharacteristic
442C2×#121—31no—
443C2×#121—31no—
444C2×#121—31no—
445C2×#120—31no—
446C2×#120—31no—
447C2×C4×Q8—31no—
448C2×C4×D4—31no—
449C2×C4×D4—31no—
450C2×C4×D4—31no—
451C2×C4×D4—31no—
452C2×#117—31no—
453C22×C4⋊C4—31no—
454C22×C4⋊C4—31no—
455C22×C4⋊C4—31no—
456C22×C4⋊C4—31no—
457C22×C22⋊C4—31no—
458C22×C22⋊C4—31no—
459C22×C22⋊C4—31no—
460#400—31no—
461#399—31no—
462#399—31no—
463#399—31no—
464#399—31no—
465#399—31no—
466#398—31no—
467#398—31no—
468#398—31no—
469#398—31no—
470#398—31no—
471#398—31no—
472#398—31no—
473#398C2×D311yescharacteristic, complemented
474#398C2×D311yescharacteristic, complemented
475#397—31no—
476#397—31no—
477#397—31no—
478#397—31no—
479#397—31no—
480#397—31no—
481#397—31no—
482#396—31no—
483#396—31no—
484#396—31no—
485#396—31no—
486#396—31no—
487#396—31no—
488#396—31no—
489#396—31no—
490#396—31no—
491#396—31no—
492#396—31no—
493#396—31no—
494#396—31no—
495#396—31no—
496#396—31no—
497#396—31no—
498#395—31no—
499#395—31no—
500#395C2×D311yescharacteristic, complemented
501#395C2×D311yescharacteristic, complemented
502#394—31no—
503#394—31no—
504#394—31no—
505#394—31no—
506#394—31no—
507#394—31no—
508#394—31no—
509#394—31no—
510#394—31no—
511#394—31no—
512#393—31no—
513#393—31no—
514#393—31no—
515#393—31no—
516#391—31no—
517#391C2×D311yescharacteristic, complemented
518#391C2×D311yescharacteristic, complemented
519#390—31no—
520#390—31no—
521#389—31no—
522#389—31no—
523#389—31no—
524#389C2×D311yescharacteristic, complemented
525#389C2×D311yescharacteristic, complemented
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#388—31no—
537#388—31no—
538#387—31no—
539#387—31no—
540#387—31no—
541#387—31no—
542#387—31no—
543#387—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#386—31no—
553#385—31no—
554#385—31no—
555#385—31no—
556#385—31no—
557#385—31no—
558#385C2×D311yescharacteristic
559#385C2×D311yescharacteristic
560#384—31no—
561#382—31no—
562#381—31no—
563#380—31no—
564#380—31no—
565#380—31no—
566#380—31no—
567#380C2×D311yescharacteristic
568#379—31no—
569#379—31no—
570C4×C4⋊C4—31no—
571C4×C22⋊C4—31no—
572C4×C22⋊C4C2×D311yescharacteristic
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—41no—
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—41no—
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—22no—
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
642C2×D12—22no—
643C2×D12—22no—
644C2×D12—22no—
645C2×D12—22no—
646C2×D12—22no—
647C2×D12—41no—
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×C4×D3—22no—
658C2×C4×D3—22no—
659C2×C4×D3—22no—
660C2×C4×D3—22no—
661C2×C4×D3—41no—
662C2×C4×D3—41no—
663C2×C4×D3—41no—
664C2×C4×D3—41no—
665C2×C4×D3—41no—
666C2×C4×D3—41no—
667C2×C4×D3—41no—
668C2×C4×D3C2×D414yes—
669C2×Dic6—22no—
670C2×Dic6—22no—
671C2×Dic6—22no—
672C2×Dic6—41no—
673C2×Dic6—41no—
674C2×Dic6—41no—
675C3×C4⋊C4—22no—
676C3×C4⋊C4—22no—
677C3×C4⋊C4—22no—
678C3×C4⋊C4—22no—
679C3×C4⋊C4—22no—
680C3×C4⋊C4—22no—
681C3×C4⋊C4—41no—
682C3×C4⋊C4—41no—
683C3×C4⋊C4—41no—
684C3×C4⋊C4—41no—
685C3×C4⋊C4—41no—
686C3×C4⋊C4—41no—
687C3×C22⋊C4—22no—
688C3×C22⋊C4—22no—
689C3×C22⋊C4—22no—
690C3×C22⋊C4C2×D414yes—
691C3×C42—41no—
692C3×C42—41no—
693#217—22no—
694#217—22no—
695(C2×D3)⋊C4—22no—
696(C2×D3)⋊C4—22no—
697(C2×D3)⋊C4—22no—
698(C2×D3)⋊C4—22no—
699(C2×D3)⋊C4—22no—
700(C2×D3)⋊C4—22no—
701(C2×D3)⋊C4—22no—
702(C2×D3)⋊C4—22no—
703(C2×D3)⋊C4—22no—
704(C2×D3)⋊C4—22no—
705(C2×D3)⋊C4—22no—
706(C2×D3)⋊C4—22no—
707(C2×D3)⋊C4—22no—
708(C2×D3)⋊C4—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—41no—
716(C2×D3)⋊C4—41no—
717(C2×D3)⋊C4—41no—
718(C2×D3)⋊C4—41no—
719(C2×D3)⋊C4—41no—
720(C2×D3)⋊C4—41no—
721(C2×D3)⋊C4—41no—
722(C2×D3)⋊C4—41no—
723(C2×D3)⋊C4—41no—
724(C2×D3)⋊C4—41no—
725(C2×D3)⋊C4—41no—
726(C2×D3)⋊C4—41no—
727(C2×D3)⋊C4—41no—
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)⋊C4C2×D414yes—
737C4⋊Dic3—22no—
738C4⋊Dic3—22no—
739C4⋊Dic3—22no—
740Dic3⋊C4—22no—
741Dic3⋊C4—22no—
742Dic3⋊C4—22no—
743Dic3⋊C4—22no—
744Dic3⋊C4—22no—
745Dic3⋊C4—22no—
746Dic3⋊C4—22no—
747Dic3⋊C4—22no—
748Dic3⋊C4—22no—
749Dic3⋊C4—22no—
750Dic3⋊C4—22no—
751Dic3⋊C4—22no—
752Dic3⋊C4—22no—
753Dic3⋊C4—22no—
754Dic3⋊C4—22no—
755Dic3⋊C4—22no—
756Dic3⋊C4—22no—
757Dic3⋊C4—41no—
758Dic3⋊C4—41no—
759Dic3⋊C4—41no—
760Dic3⋊C4—41no—
761Dic3⋊C4—41no—
762Dic3⋊C4—41no—
763Dic3⋊C4—41no—
764Dic3⋊C4—41no—
765Dic3⋊C4—41no—
766Dic3⋊C4—41no—
767Dic3⋊C4C2×D414yes—
768C4×Dic3—22no—
769C4×Dic3—22no—
770C4×Dic3—22no—
771C4×Dic3—22no—
772C4×Dic3—41no—
773C4×Dic3C2×D414yes—
774C25—31no—
775C22×Q8—31no—
776C22×Q8—31no—
777C22×Q8C22×D311yescharacteristic
778C22×Q8C22×D311yescharacteristic
779C22×D4—31no—
780C22×D4—31no—
781C22×D4—31no—
782C22×D4—31no—
783C22×D4—31no—
784C22×D4—31no—
785C22×D4—31no—
786C23×C4—31no—
787C23×C4—31no—
788C23×C4—31no—
789C23×C4—31no—
790C23×C4—31no—
791C23×C4—31no—
792C23×C4—31no—
793C23×C4C22×D311yescharacteristic
794C23×C4C22×D311yescharacteristic
795C23×C4C22×D311yescharacteristic
796C4⋊Q8—64no—
797C4⋊Q8—122no—
798#126—64no—
799#126—64no—
800#125—64no—
801#125—64no—
802#124—64no—
803#124—64no—
804#124—122no—
805#124—122no—
806#123—64no—
807#123—64no—
808#123—122no—
809#123—122no—
810#123—122no—
811C22⋊Q8—24no—
812C22⋊Q8—24no—
813C22⋊Q8—64no—
814C22⋊Q8—64no—
815C22⋊Q8—64no—
816C22⋊Q8—64no—
817C22⋊Q8—64no—
818C22⋊Q8—122no—
819#121—64no—
820#121—64no—
821#121—64no—
822#120—64no—
823#120—64no—
824C4×Q8—64no—
825C4×D4—38no—
826C4×D4—64no—
827C4×D4—64no—
828C4×D4—64no—
829#117—122no—
830C2×C4⋊C4—31no—
831C2×C4⋊C4—31no—
832C2×C4⋊C4—31no—
833C2×C4⋊C4—31no—
834C2×C4⋊C4—31no—
835C2×C4⋊C4—31no—
836C2×C4⋊C4—31no—
837C2×C4⋊C4—31no—
838C2×C4⋊C4—31no—
839C2×C4⋊C4—31no—
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⋊C4—31no—
860C2×C4⋊C4—31no—
861C2×C4⋊C4—64no—
862C2×C4⋊C4—64no—
863C2×C4⋊C4—122no—
864C2×C4⋊C4—122no—
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×C4⋊C4C22×D311yescharacteristic
872C2×C4⋊C4C22×D311yescharacteristic
873C2×C4⋊C4C22×D311yescharacteristic
874C2×C4⋊C4C22×D311yescharacteristic
875C2×C4⋊C4C22×D311yescharacteristic
876C2×C4⋊C4C22×D311yescharacteristic
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—31no—
916C2×C22⋊C4—31no—
917C2×C22⋊C4—31no—
918C2×C22⋊C4—31no—
919C2×C22⋊C4—31no—
920C2×C22⋊C4—31no—
921C2×C22⋊C4—64no—
922C2×C22⋊C4—122no—
923C2×C22⋊C4—122no—
924C2×C22⋊C4C22×D311yescharacteristic
925C2×C22⋊C4C22×D311yescharacteristic
926C2×C22⋊C4C22×D311yescharacteristic
927C2×C22⋊C4C22×D311yescharacteristic
928C2×C42—31no—
929C2×C42—31no—
930C2×C42—31no—
931C2×C42—31no—
932C2×C42—31no—
933C2×C42—31no—
934C2×C42C22×D311yescharacteristic
935C2×C42C22×D311yescharacteristic
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#95C22×D311yescharacteristic
959#95C22×D311yescharacteristic
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
970C23×C3—21no—
971C23×C3—21no—
972C23×C3—21no—
973C23×C3—21no—
974C23×C3C22×D412yes—
975C23×C32−1+412yes—
976C23×C32−1+412yes—
977C23×C3C2511yescharacteristic
978C22×D3—21no—
979C22×D3—21no—
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—44no—
1006C22×D3—44no—
1007C22×D3—44no—
1008C22×D3—82no—
1009C22×D3—82no—
1010C22×D3—82no—
1011C22×D3—82no—
1012C22×D3C22×D412yes—
1013C3×Q8—82no—
1014C3×Q8—82no—
1015C2×C3×C4—21no—
1016C2×C3×C4—21no—
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—82no—
1056C2×C3×C4—82no—
1057C2×C3×C4—82no—
1058C2×C3×C4C22×D412yes—
1059C2×C3×C4C22×D412yes—
1060#67—28no—
1061#67—44no—
1062C2×Dic3—21no—
1063C2×Dic3—21no—
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—44no—
1094C2×Dic3—44no—
1095C2×Dic3—44no—
1096C2×Dic3C22×D412yes—
1097C2×Dic3C22×D412yes—
1098C2×Dic3C22×D412yes—
1099C2×Dic3H(5,𝔽2)12yes—
1100C2×Dic3H(5,𝔽2)12yes—
1101D12—82no—
1102D12—82no—
1103D12—82no—
1104D12—82no—
1105D12—82no—
1106C4×D3—44no—
1107C4×D3—44no—
1108C4×D3—82no—
1109C4×D3—82no—
1110Dic6—44no—
1111Dic6—82no—
1112C24—31no—
1113C24—31no—
1114C24—31no—
1115C24—31no—
1116C24—62no—
1117C24—62no—
1118C24—62no—
1119C24—121no—
1120C24—121no—
1121C24—121no—
1122C24—121no—
1123C24C23×D311yescharacteristic
1124C2×Q8—22no—
1125C2×Q8—22no—
1126C2×Q8—41no—
1127C2×Q8—41no—
1128C2×Q8—41no—
1129C2×Q8—41no—
1130C2×Q8—62no—
1131C2×Q8—62no—
1132C2×Q8—62no—
1133C2×Q8—121no—
1134C2×Q8—121no—
1135C2×Q8—121no—
1136C2×D4—34no—
1137C2×D4—62no—
1138C2×D4—62no—
1139C2×D4—62no—
1140C2×D4—62no—
1141C2×D4—62no—
1142C2×D4—62no—
1143C2×D4—62no—
1144C2×D4—62no—
1145C2×D4—62no—
1146C2×D4—62no—
1147C2×D4—121no—
1148C2×D4—121no—
1149C2×D4—121no—
1150C2×D4—121no—
1151C2×D4—121no—
1152C2×D4—121no—
1153C2×D4—121no—
1154C2×D4—121no—
1155C2×D4—121no—
1156C2×D4—121no—
1157C22×C4—22no—
1158C22×C4—22no—
1159C22×C4—22no—
1160C22×C4—31no—
1161C22×C4—31no—
1162C22×C4—31no—
1163C22×C4—31no—
1164C22×C4—31no—
1165C22×C4—34no—
1166C22×C4—34no—
1167C22×C4—31no—
1168C22×C4—31no—
1169C22×C4—31no—
1170C22×C4—31no—
1171C22×C4—31no—
1172C22×C4—31no—
1173C22×C4—31no—
1174C22×C4—41no—
1175C22×C4—41no—
1176C22×C4—41no—
1177C22×C4—41no—
1178C22×C4—41no—
1179C22×C4—41no—
1180C22×C4—62no—
1181C22×C4—62no—
1182C22×C4—62no—
1183C22×C4—62no—
1184C22×C4—62no—
1185C22×C4—62no—
1186C22×C4—62no—
1187C22×C4—62no—
1188C22×C4—121no—
1189C22×C4—121no—
1190C22×C4—121no—
1191C22×C4—121no—
1192C22×C4—121no—
1193C22×C4—121no—
1194C22×C4—121no—
1195C22×C4—121no—
1196C22×C4—121no—
1197C22×C4—121no—
1198C22×C4—121no—
1199C22×C4C23×D311yescharacteristic
1200C22×C4C23×D311yescharacteristic
1201C22×C4C23×D311yescharacteristic
1202C22×C4C23×D311yescharacteristic
1203C22×C4C23×D311yescharacteristic
1204C22×C4C23×D311yescharacteristic
1205C22×C4C23×D311yescharacteristic
1206C22×C4C23×D311yescharacteristic
1207C22×C4C23×D311yescharacteristic
1208C22×C4C23×D311yescharacteristic
1209C22×C4C23×D311yescharacteristic
1210C22×C4C23×D311yescharacteristic
1211C22×C4C23×D311yescharacteristic
1212C22×C4C23×D311yescharacteristic
1213C4⋊C4—22no—
1214C4⋊C4—22no—
1215C4⋊C4—22no—
1216C4⋊C4—22no—
1217C4⋊C4—22no—
1218C4⋊C4—22no—
1219C4⋊C4—34no—
1220C4⋊C4—41no—
1221C4⋊C4—41no—
1222C4⋊C4—41no—
1223C4⋊C4—41no—
1224C4⋊C4—41no—
1225C4⋊C4—41no—
1226C4⋊C4—62no—
1227C4⋊C4—62no—
1228C4⋊C4—62no—
1229C4⋊C4—62no—
1230C4⋊C4—62no—
1231C4⋊C4—62no—
1232C4⋊C4—62no—
1233C4⋊C4—62no—
1234C4⋊C4—62no—
1235C4⋊C4—62no—
1236C4⋊C4—62no—
1237C4⋊C4—62no—
1238C4⋊C4—62no—
1239C4⋊C4—62no—
1240C4⋊C4—62no—
1241C4⋊C4—62no—
1242C4⋊C4—62no—
1243C4⋊C4—62no—
1244C4⋊C4—62no—
1245C4⋊C4—62no—
1246C4⋊C4—121no—
1247C4⋊C4—121no—
1248C4⋊C4—121no—
1249C4⋊C4—121no—
1250C4⋊C4—121no—
1251C4⋊C4—121no—
1252C4⋊C4—121no—
1253C4⋊C4—121no—
1254C4⋊C4—121no—
1255C4⋊C4—121no—
1256C22⋊C4—22no—
1257C22⋊C4—22no—
1258C22⋊C4—22no—
1259C22⋊C4—34no—
1260C22⋊C4—62no—
1261C22⋊C4—62no—
1262C22⋊C4—62no—
1263C22⋊C4—62no—
1264C22⋊C4—62no—
1265C22⋊C4—62no—
1266C22⋊C4—62no—
1267C22⋊C4—62no—
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—121no—
1283C22⋊C4—121no—
1284C22⋊C4—121no—
1285C22⋊C4—121no—
1286C22⋊C4—121no—
1287C22⋊C4—121no—
1288C22⋊C4—121no—
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⋊C4D3×D414yes—
1304C42—34no—
1305C42—41no—
1306C42—41no—
1307C42—62no—
1308C42—62no—
1309C42—62no—
1310C42—62no—
1311C42—121no—
1312C22×C3—22no—
1313C22×C3—22no—
1314C22×C3—22no—
1315C22×C3—22no—
1316C22×C3—22no—
1317C22×C3—22no—
1318C22×C3#53614yes—
1319C22×C3C23×D411yescharacteristic
1320C22×C3C2×H(5,𝔽2)11yescharacteristic
1321C22×C3C2×H(5,𝔽2)11yescharacteristic
1322C22×C3C2×2−1+411yescharacteristic
1323C22×C3C2×2−1+411yescharacteristic
1324C22×C3#58511yescharacteristic
1325C22×C3#58511yescharacteristic
1326C2×D3—22no—
1327C2×D3—22no—
1328C2×D3—22no—
1329C2×D3—41no—
1330C2×D3—41no—
1331C2×D3—41no—
1332C2×D3—41no—
1333C2×D3—41no—
1334C2×D3—41no—
1335C2×D3—41no—
1336C2×D3—41no—
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—88no—
1355C3×C4—22no—
1356C3×C4—22no—
1357C3×C4—41no—
1358C3×C4—41no—
1359C3×C4—41no—
1360C3×C4—41no—
1361C3×C4—41no—
1362C3×C4—41no—
1363C3×C4—41no—
1364C3×C4—41no—
1365C3×C4—41no—
1366C3×C4—41no—
1367C3×C4—41no—
1368C3×C4—41no—
1369Dic3—22no—
1370Dic3—22no—
1371Dic3—22no—
1372Dic3—22no—
1373Dic3—22no—
1374Dic3—41no—
1375Dic3—41no—
1376Dic3—41no—
1377Dic3—41no—
1378Dic3—41no—
1379Dic3—41no—
1380Dic3—41no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—32no—
1386C23—61no—
1387C23—61no—
1388C23—61no—
1389C23—61no—
1390C23—61no—
1391C23—61no—
1392C23—61no—
1393C23—61no—
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—124no—
1414C23—124no—
1415C23—124no—
1416C23—242no—
1417C23—242no—
1418C23—242no—
1419C23—242no—
1420C23C2×D3×D412yes—
1421C23#100712yes—
1422C23#100712yes—
1423C23C24×D311yescharacteristic
1424Q8—82no—
1425Q8—82no—
1426Q8—124no—
1427Q8—242no—
1428D4—68no—
1429D4—124no—
1430D4—242no—
1431D4—242no—
1432D4—242no—
1433D4—242no—
1434D4—242no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
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—32no—
1476C2×C4—32no—
1477C2×C4—32no—
1478C2×C4—32no—
1479C2×C4—32no—
1480C2×C4—61no—
1481C2×C4—61no—
1482C2×C4—61no—
1483C2×C4—61no—
1484C2×C4—61no—
1485C2×C4—61no—
1486C2×C4—61no—
1487C2×C4—61no—
1488C2×C4—61no—
1489C2×C4—61no—
1490C2×C4—61no—
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—82no—
1512C2×C4—82no—
1513C2×C4—82no—
1514C2×C4—124no—
1515C2×C4—124no—
1516C2×C4—124no—
1517C2×C4—124no—
1518C2×C4—124no—
1519C2×C4—242no—
1520C2×C4—242no—
1521C2×C4C2×D3×D412yes—
1522C2×C4C2×D3×D412yes—
1523C2×C3—24no—
1524C2×C3C2×#53611yescharacteristic
1525C2×C3#348811yescharacteristic
1526C2×C3#349611yescharacteristic
1527C2×C3#353611yescharacteristic
1528C2×C3#354111yescharacteristic
1529C2×C3#354111yescharacteristic
1530C2×C3#356411yescharacteristic
1531D3—42no—
1532D3—81no—
1533D3—81no—
1534D3—81no—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—22no—
1540C22—22no—
1541C22—62no—
1542C22—62no—
1543C22—62no—
1544C22—121no—
1545C22—121no—
1546C22—121no—
1547C22—121no—
1548C22—121no—
1549C22—121no—
1550C22—121no—
1551C22—121no—
1552C22—121no—
1553C22—121no—
1554C22—121no—
1555C22—121no—
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—248no—
1570C22#572414yes—
1571C22C22×D3×D411yescharacteristic
1572C22C2×#100711yescharacteristic
1573C22C2×#100711yescharacteristic
1574C22#596411yescharacteristic
1575C22#596411yescharacteristic
1576C22D3×H(5,𝔽2)11yescharacteristic
1577C22D3×H(5,𝔽2)11yescharacteristic
1578C4—22no—
1579C4—22no—
1580C4—41no—
1581C4—41no—
1582C4—41no—
1583C4—41no—
1584C4—41no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—62no—
1593C4—62no—
1594C4—62no—
1595C4—62no—
1596C4—62no—
1597C4—121no—
1598C4—121no—
1599C4—121no—
1600C4—121no—
1601C4—121no—
1602C4—121no—
1603C4—121no—
1604C3#4051311yescharacteristic, complemented, Sylow
1605C2—24no—
1606C2—122no—
1607C2—241no—
1608C2—241no—
1609C2—241no—
1610C2C2×#572411yescharacteristic
1611C2#8629211yescharacteristic
1612C2#8657511yescharacteristic
1613C2#8662911yescharacteristic
1614C2#8666511yescharacteristic
1615C2#8693811yescharacteristic
1616C2#8693811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2549C2
prime radicalC2×#5644C2
hypercenter#2549D3
hypocenterC3#40513
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2549

Complements

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

NH ≅ G/Ntype
2. C2×#5636C2semidirect
3. C3×#2549C2semidirect
4. #82769C2semidirect
5. #82763C2semidirect
6. #77970C2semidirect
7. #77962C2semidirect
8. #77863C2semidirect
9. #77825C2semidirect
10. #77275C2semidirect
11. #77274C2semidirect
12. #77260C2semidirect
13. #77260C2semidirect
14. #76649C2semidirect
15. #76640C2semidirect
16. #76570C2semidirect
17. #76534C2semidirect
18. #76257C2semidirect
19. #76208C2semidirect
20. #76110C2semidirect
21. #76108C2semidirect
22. #74621C2semidirect
23. #74603C2semidirect
24. #74486C2semidirect
25. #74418C2semidirect
26. #74021C2semidirect
27. #73889C2semidirect
28. #73594C2semidirect
29. #73461C2semidirect
30. #73377C2semidirect
31. C2×#4676C2semidirect
38. C2×#946C22semidirect
39. C2×#944C22semidirect
40. C2×#944C22semidirect
53. C2×#896C22semidirect
54. C2×#896C22semidirect
55. C2×#896C22semidirect
62. C2×#894C22semidirect
63. C2×D3×C4⋊C4C22semidirect
64. C2×#889C22semidirect
65. C2×#889C22semidirect
66. C2×#887C22semidirect
75. C2×#872C22semidirect
76. C3×#398C22semidirect
77. C3×#398C22semidirect
78. C3×#395C22semidirect
79. C3×#395C22semidirect
80. C3×#391C22semidirect
81. C3×#391C22semidirect
82. C3×#389C22semidirect
83. C3×#389C22semidirect
90. #5230C22semidirect
97. #4994C22semidirect
102. #4993C22semidirect
112. #4989C22semidirect
113. #4989C22semidirect
114. #4989C22semidirect
116. #4983C22semidirect
117. #4983C22semidirect
118. #4983C22semidirect
119. #4983C22semidirect
120. #4982C22semidirect
121. #4981C22semidirect
122. #4979C22semidirect
123. #4976C22semidirect
124. #4976C22semidirect
125. #4976C22semidirect
126. #4975C22semidirect
138. #4940C22semidirect
140. #4933C22semidirect
141. C4×Dic3⋊C4C22semidirect
152. #4676C22semidirect
153. #4676C22semidirect
154. #4676C22semidirect
157. #4675C22semidirect
158. #4675C22semidirect
159. #4675C22semidirect
168. #4672C22semidirect
169. #4672C22semidirect
172. #4669C22semidirect
173. #4669C22semidirect
174. #4669C22semidirect
175. #4667C22semidirect
176. #4667C22semidirect
179. #4665C22semidirect
180. #4664C22semidirect
181. #4660C22semidirect
182. #4657C22semidirect
183. #4655C22semidirect
184. #4655C22semidirect
185. #4652C22semidirect
186. #4652C22semidirect
187. #4652C22semidirect
188. #4650C22semidirect
189. #4646C22semidirect
208. #2549D3semidirect
473. #398C2×D3semidirect
474. #398C2×D3semidirect
500. #395C2×D3semidirect
501. #395C2×D3semidirect
517. #391C2×D3semidirect
518. #391C2×D3semidirect
524. #389C2×D3semidirect
525. #389C2×D3semidirect
1604. C3#40513semidirect

Maximal subgroups

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

subgroupindex
C2×#56442
C2×#56362
C3×#25492
#827692
#827632
#779702
#779622
#778632
#778252
#772752
#772742
#772602
#766492
#766402
#765702
#765342
#762572
#762082
#761102
#761082
#746212
#746032
#744862
#744182
#740212
#738892
#735942
#734612
#733772
C2×#46762
#405133