Finite Group Databasebeta

← #11069839

Subgroups — #11069839

Order 768.

2438 conjugacy classes of subgroups.

The subgroup lattice has 1736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5657C211yesmaximal, characteristic, complemented
2C2×#5562C211yesmaximal, characteristic, complemented
3C3×#2630C211yesmaximal, characteristic, complemented
4#82891C211yesmaximal, characteristic, complemented
5C4×#939C211yesmaximal, characteristic, complemented
6#77979C211yesmaximal, characteristic, complemented
7#77790C211yesmaximal, characteristic, complemented
8#77700C211yesmaximal, characteristic, complemented
9#77466C211yesmaximal, characteristic, complemented
10#77431C211yesmaximal, characteristic, complemented
11#77417C211yesmaximal, characteristic, complemented
12#77416C211yesmaximal, characteristic, complemented
13#77366C211yesmaximal, characteristic, complemented
14#77145C211yesmaximal, characteristic, complemented
15#77136C211yesmaximal, characteristic, complemented
16#77127C211yesmaximal, characteristic, complemented
17#77115C211yesmaximal, characteristic, complemented
18#76948C211yesmaximal, characteristic, complemented
19#76903C211yesmaximal, characteristic, complemented
20#76769C211yesmaximal, characteristic, complemented
21#76756C211yesmaximal, characteristic, complemented
22#75832C211yesmaximal, characteristic, complemented
23#75512C211yesmaximal, characteristic, complemented
24#75309C211yesmaximal, characteristic, complemented
25#75016C211yesmaximal, characteristic, complemented
26#74894C211yesmaximal, characteristic, complemented
27#74757C211yesmaximal, characteristic, complemented
28#74611C211yesmaximal, characteristic, complemented
29#74476C211yesmaximal, characteristic, complemented
30#74034C211yesmaximal, characteristic, complemented
31#73865C211yesmaximal, characteristic, complemented
32#39392—31nomaximal, Sylow
33C2×C3×#123C2211yescharacteristic
34C2×C3×C4×D4C2211yescharacteristic, complemented
35C2×#940C2211yescharacteristic, complemented
36C2×#939C2211yescharacteristic
37C2×#939C2211yescharacteristic
38C2×#938C2211yescharacteristic
39C2×#938C2211yescharacteristic
40C2×#937C2211yescharacteristic
41C2×#937C2211yescharacteristic
42C2×#930C2211yescharacteristic
43C2×#930C2211yescharacteristic
44C2×#929C2211yescharacteristic, complemented
45C2×#929C2211yescharacteristic, complemented
46C2×C4×#67C2211yescharacteristic
47C2×C4×#67C2211yescharacteristic
48C22×C4×Dic3C2211yescharacteristic, complemented
49#5657—28no—
50#5562—28no—
51C2×#898C2211yescharacteristic
52C2×#897C2211yescharacteristic
53C2×#896C2211yescharacteristic, complemented
54C2×#895C2211yescharacteristic
55C2×#895C2211yescharacteristic
56C2×#894C2211yescharacteristic
57C2×#893C2211yescharacteristic
58C2×#893C2211yescharacteristic
59C2×#890C2211yescharacteristic, complemented
60C2×#885C2211yescharacteristic
61C2×#885C2211yescharacteristic
62C2×#884C2211yescharacteristic
63C2×#884C2211yescharacteristic
64C2×#884C2211yescharacteristic
65C2×#884C2211yescharacteristic
66C2×#883C2211yescharacteristic
67C2×#883C2211yescharacteristic, complemented
68C2×#883C2211yescharacteristic, complemented
69C2×#883C2211yescharacteristic, complemented
70C2×#882C2211yescharacteristic
71C2×#882C2211yescharacteristic
72C2×#67⋊C4C2211yescharacteristic
73C2×#67⋊C4C2211yescharacteristic, complemented
74C2×D3×C22⋊C4C2211yescharacteristic
75C2×D3×C22⋊C4C2211yescharacteristic
76C2×#879C2211yescharacteristic
77C2×C4×D12C2211yescharacteristic, complemented
78C2×#872C2211yescharacteristic
79C3×#398C2211yescharacteristic, complemented
80C3×#397C2211yescharacteristic, complemented
81C3×#396C2211yescharacteristic
82C3×#396C2211yescharacteristic, complemented
83C3×#394C2211yescharacteristic
84C3×#394C2211yescharacteristic
85C3×#394C2211yescharacteristic, complemented
86C3×#392C2211yescharacteristic
87C3×#388C2211yescharacteristic
88C3×#387C2211yescharacteristic, complemented
89C3×#386C2211yescharacteristic
90C3×#385C2211yescharacteristic, complemented
91C3×#380C2211yescharacteristic, complemented
92#5223C2211yescharacteristic
93#5223C2211yescharacteristic
94#5221C2211yescharacteristic
95#5220C2211yescharacteristic
96#5220C2211yescharacteristic, complemented
97C4×#217C2211yescharacteristic, complemented
98#4994C2211yescharacteristic
99#4994C2211yescharacteristic, complemented
100#4993C2211yescharacteristic
101#4991C2211yescharacteristic
102#4991C2211yescharacteristic
103#4990C2211yescharacteristic
104#4990C2211yescharacteristic, complemented
105#4990C2211yescharacteristic, complemented
106#4989C2211yescharacteristic
107#4989C2211yescharacteristic
108#4989C2211yescharacteristic, complemented
109#4989C2211yescharacteristic, complemented
110#4988C2211yescharacteristic
111#4987C2211yescharacteristic
112#4984C2211yescharacteristic, complemented
113#4981C2211yescharacteristic, complemented
114#4980C2211yescharacteristic, complemented
115#4976C2211yescharacteristic, complemented
116#4976C2211yescharacteristic, complemented
117#4976C2211yescharacteristic, complemented
118#4976C2211yescharacteristic, complemented
119Dic3×C4⋊C4C2211yescharacteristic, complemented
120#4972C2211yescharacteristic, complemented
121#4961C2211yescharacteristic
122#4961C2211yescharacteristic
123#4961C2211yescharacteristic, complemented
124#4961C2211yescharacteristic, complemented
125#4960C2211yescharacteristic
126#4960C2211yescharacteristic
127#4960C2211yescharacteristic
128#4959C2211yescharacteristic
129#4959C2211yescharacteristic
130#4958C2211yescharacteristic
131#4958C2211yescharacteristic
132#4958C2211yescharacteristic, complemented
133#4958C2211yescharacteristic, complemented
134#4957C2211yescharacteristic
135#4957C2211yescharacteristic
136#4957C2211yescharacteristic
137#4957C2211yescharacteristic, complemented
138#4956C2211yescharacteristic
139#4956C2211yescharacteristic
140#4956C2211yescharacteristic
141#4956C2211yescharacteristic, complemented
142#4955C2211yescharacteristic
143#4953C2211yescharacteristic, complemented
144#4952C2211yescharacteristic
145#4951C2211yescharacteristic
146#4948C2211yescharacteristic
147#4948C2211yescharacteristic
148#4947C2211yescharacteristic, complemented
149#4945C2211yescharacteristic
150#4945C2211yescharacteristic
151#4945C2211yescharacteristic, complemented
152#4945C2211yescharacteristic, complemented
153#4944C2211yescharacteristic
154#4942C2211yescharacteristic, complemented
155#4942C2211yescharacteristic, complemented
156C4×(C2×D3)⋊C4C2211yescharacteristic
157C4×Dic3⋊C4C2211yescharacteristic, complemented
158#4675C2211yescharacteristic
159#4675C2211yescharacteristic
160#4674C2211yescharacteristic, complemented
161#4672C2211yescharacteristic
162#4672C2211yescharacteristic
163#4672C2211yescharacteristic, complemented
164#4670C2211yescharacteristic
165#4670C2211yescharacteristic, complemented
166#4669C2211yescharacteristic
167#4669C2211yescharacteristic, complemented
168#4668C2211yescharacteristic
169#4668C2211yescharacteristic
170#4668C2211yescharacteristic
171#4666C2211yescharacteristic
172#4666C2211yescharacteristic
173#4666C2211yescharacteristic, complemented
174#4666C2211yescharacteristic, complemented
175#4665C2211yescharacteristic
176#4665C2211yescharacteristic
177#4665C2211yescharacteristic
178#4665C2211yescharacteristic
179#4665C2211yescharacteristic, complemented
180#4664C2211yescharacteristic
181D3×#95C2211yescharacteristic, complemented
182#4660C2211yescharacteristic, complemented
183#4657C2211yescharacteristic, complemented
184#4657C2211yescharacteristic, complemented
185#4656C2211yescharacteristic, complemented
186#4655C2211yescharacteristic, complemented
187#4653C2211yescharacteristic, complemented
188#4647C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#540—31no—
191C2×#538—31no—
192#2854—31no—
193#2725—31no—
194#2708—31no—
195#2701—31no—
196#2686—31no—
197#2681—31no—
198#2678—31no—
199#2673—31no—
200#2668—31no—
201#2630—31no—
202#2630D311yescharacteristic, complemented
203#2559—31no—
204#2557—31no—
205#2556—31no—
206#2554—31no—
207#2478—31no—
208#2461—31no—
209#2455—31no—
210#2428—31no—
211#2427—31no—
212#2425—31no—
213#2425—31no—
214#2424—31no—
215#2424—31no—
216#2424—31no—
217#2364—31no—
218#2342—31no—
219C4×#121—31no—
220C4×#121—31no—
221C24×D3C2311yescharacteristic
222C22×C3×D4C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C23×Dic3C2311yescharacteristic
238C23×Dic3C2311yescharacteristic
239C22×D12C2311yescharacteristic
240C22×D12C2311yescharacteristic
241C22×D12C2311yescharacteristic
242C22×D12C2311yescharacteristic
243C22×D12C2311yescharacteristic
244C22×C4×D3C2311yescharacteristic
245C22×C4×D3C2311yescharacteristic
246C22×C4×D3C2311yescharacteristic
247C22×C4×D3C2311yescharacteristic
248C22×C4×D3C2311yescharacteristic
249C22×C4×D3C2311yescharacteristic
250C22×C4×D3C2311yescharacteristic
251C22×C4×D3C2311yescharacteristic
252C22×Dic6C2311yescharacteristic
253C3×#123—24no—
254C3×C4×D4—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×C22⋊C4C2311yescharacteristic
274C2×C3×C22⋊C4C2311yescharacteristic
275C2×C3×C22⋊C4C2311yescharacteristic
276C2×C3×C42C2311yescharacteristic
277C2×#217C2311yescharacteristic
278C2×#217C2311yescharacteristic
279C2×#217C2311yescharacteristic
280C2×#217C2311yescharacteristic
281C2×#217C2311yescharacteristic
282C2×#217C2311yescharacteristic
283C2×#217C2311yescharacteristic
284C2×#217C2311yescharacteristic
285C2×#217C2311yescharacteristic
286C2×#217C2311yescharacteristic
287C2×#217C2311yescharacteristic
288#940—24no—
289#939—24no—
290#939—42no—
291#938—24no—
292#938—24no—
293#937—24no—
294#937—42no—
295#930—24no—
296#930D418yescomplemented
297#929—24no—
298#929—24no—
299C4×#67—24no—
300C4×#67—42no—
301C2×(C2×D3)⋊C4C2311yescharacteristic
302C2×(C2×D3)⋊C4C2311yescharacteristic
303C2×(C2×D3)⋊C4C2311yescharacteristic
304C2×(C2×D3)⋊C4C2311yescharacteristic
305C2×(C2×D3)⋊C4C2311yescharacteristic
306C2×(C2×D3)⋊C4C2311yescharacteristic
307C2×(C2×D3)⋊C4C2311yescharacteristic
308C2×(C2×D3)⋊C4C2311yescharacteristic
309C2×(C2×D3)⋊C4C2311yescharacteristic
310C2×(C2×D3)⋊C4C2311yescharacteristic
311C2×(C2×D3)⋊C4C2311yescharacteristic
312C2×(C2×D3)⋊C4C2311yescharacteristic
313C2×(C2×D3)⋊C4C2311yescharacteristic
314C2×(C2×D3)⋊C4C2311yescharacteristic
315C2×(C2×D3)⋊C4C2311yescharacteristic
316C2×(C2×D3)⋊C4C2311yescharacteristic
317C2×(C2×D3)⋊C4C2311yescharacteristic
318C2×(C2×D3)⋊C4C2311yescharacteristic
319C2×(C2×D3)⋊C4C2311yescharacteristic
320C2×(C2×D3)⋊C4C2311yescharacteristic
321C2×(C2×D3)⋊C4C2311yescharacteristic
322C2×(C2×D3)⋊C4C2311yescharacteristic
323C2×(C2×D3)⋊C4C2311yescharacteristic
324C2×(C2×D3)⋊C4C2311yescharacteristic
325C2×(C2×D3)⋊C4C2311yescharacteristic
326C2×(C2×D3)⋊C4C2311yescharacteristic
327C2×(C2×D3)⋊C4C2311yescharacteristic
328C2×(C2×D3)⋊C4C2311yescharacteristic
329C2×(C2×D3)⋊C4C2311yescharacteristic
330C2×(C2×D3)⋊C4C2311yescharacteristic
331C2×C4⋊Dic3C2311yescharacteristic
332C2×C4⋊Dic3C2311yescharacteristic
333C2×C4⋊Dic3C2311yescharacteristic
334C2×C4⋊Dic3C2311yescharacteristic
335C2×C4⋊Dic3C2311yescharacteristic
336C2×C4⋊Dic3C2311yescharacteristic
337C2×C4⋊Dic3C2311yescharacteristic
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×Dic3—42no—
353C2×C4×Dic3C2311yescharacteristic
354C2×C4×Dic3C2311yescharacteristic
355C2×C4×Dic3C2311yescharacteristic
356C2×C4×Dic3C2311yescharacteristic
357C2×C4×Dic3C2311yescharacteristic
358C2×C4×Dic3C2311yescharacteristic
359C2×C4×Dic3C2311yescharacteristic
360C2×C4×Dic3C2311yescharacteristic
361C2×C4×Dic3C2311yescharacteristic
362#898—24no—
363#897—24no—
364#896—42no—
365#895—24no—
366#895—24no—
367#894—24no—
368#893—24no—
369#893—42no—
370#890—24no—
371#885—24no—
372#885—24no—
373#884—24no—
374#884—24no—
375#884—24no—
376#884—42no—
377#883—24no—
378#883—24no—
379#883—42no—
380#883—42no—
381#882—24no—
382#882—42no—
383#67⋊C4—42no—
384#67⋊C4—42no—
385D3×C22⋊C4—24no—
386D3×C22⋊C4—24no—
387#879—24no—
388C4×D12—24no—
389#872—24no—
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
420#540—68no—
421#538—68no—
422C2×#127—31no—
423C2×#126—31no—
424C2×#126—31no—
425C2×#125—31no—
426C2×#124—31no—
427C2×#124—31no—
428C2×#123—31no—
429C2×#123—31no—
430C2×#123—31no—
431C2×#123—31no—
432C2×#123—31no—
433C2×#123—31no—
434C2×#123—31no—
435C2×#123C2×D311yescharacteristic
436C2×C22⋊Q8—31no—
437C2×C22⋊Q8—31no—
438C2×#121—31no—
439C2×#121—31no—
440C2×#121—31no—
441C2×#121—31no—
442C2×#121—31no—
443C2×#121—31no—
444C2×#121—31no—
445C2×#121—31no—
446C2×#121—31no—
447C2×#121—31no—
448C2×#121—31no—
449C2×#121—31no—
450C2×#120—31no—
451C2×#120—31no—
452C2×#120—31no—
453C2×#120—31no—
454C2×C4×D4—31no—
455C2×C4×D4—31no—
456C2×C4×D4—31no—
457C2×C4×D4—31no—
458C2×C4×D4—31no—
459C2×C4×D4—31no—
460C2×C4×D4—31no—
461C2×C4×D4C2×D311yescharacteristic, complemented
462C2×#117—31no—
463C22×C22⋊C4—31no—
464C22×C22⋊C4—31no—
465C22×C42—31no—
466#400—31no—
467#399—31no—
468#398—31no—
469#398—31no—
470#398—31no—
471#398C2×D311yescharacteristic, complemented
472#397—31no—
473#397—31no—
474#397—31no—
475#397—31no—
476#397—31no—
477#397C2×D311yescharacteristic, complemented
478#396—31no—
479#396—31no—
480#396—31no—
481#396—31no—
482#396C2×D311yescharacteristic
483#396C2×D311yescharacteristic, complemented
484#395—31no—
485#394—31no—
486#394—31no—
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#394C2×D311yescharacteristic
497#394C2×D311yescharacteristic
498#394C2×D311yescharacteristic, complemented
499#393—31no—
500#392—31no—
501#392—31no—
502#392—31no—
503#392—31no—
504#392—31no—
505#392C2×D311yescharacteristic
506#391—31no—
507#390—31no—
508#390—31no—
509#390—31no—
510#390—31no—
511#390—31no—
512#390—31no—
513#389—31no—
514#389—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#388—31no—
531#388—31no—
532#388—31no—
533#388C2×D311yescharacteristic
534#387—31no—
535#387—31no—
536#387—31no—
537#387C2×D311yescharacteristic, complemented
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#386—31no—
550#386—31no—
551#386—31no—
552#386—31no—
553#386C2×D311yescharacteristic
554#385—31no—
555#385—31no—
556#385—31no—
557#385—31no—
558#385—31no—
559#385—31no—
560#385—31no—
561#385C2×D311yescharacteristic, complemented
562#381—31no—
563#380—31no—
564#380—31no—
565#380—31no—
566#380C2×D311yescharacteristic, complemented
567#379—31no—
568C4×C4⋊C4—31no—
569C4×C4⋊C4—31no—
570C4×C22⋊C4—31no—
571C4×C22⋊C4—31no—
572C4×C22⋊C4—31no—
573C4×C22⋊C4—31no—
574C4×C22⋊C4—31no—
575C4×C22⋊C4—31no—
576C2×#95—31no—
577C24×C3C2411yescharacteristic
578C24×C3C2411yescharacteristic
579C24×C3C2411yescharacteristic
580C23×D3—22no—
581C23×D3—22no—
582C23×D3—41no—
583C23×D3—41no—
584C23×D3—41no—
585C23×D3—41no—
586C23×D3—41no—
587C23×D3C2411yescharacteristic
588C23×D3C2411yescharacteristic
589C23×D3C2411yescharacteristic
590C23×D3C2411yescharacteristic
591C2×C3×D4—22no—
592C2×C3×D4—22no—
593C2×C3×D4—22no—
594C2×C3×D4—41no—
595C2×C3×D4—41no—
596C2×C3×D4—41no—
597C2×C3×D4—41no—
598C2×C3×D4—41no—
599C2×C3×D4—41no—
600C22×C3×C4—22no—
601C22×C3×C4—41no—
602C22×C3×C4—41no—
603C22×C3×C4—41no—
604C22×C3×C4—41no—
605C22×C3×C4C2×D414yes—
606C22×C3×C4C2411yescharacteristic
607C22×C3×C4C2411yescharacteristic
608C22×C3×C4C2411yescharacteristic
609C22×C3×C4C2411yescharacteristic
610C22×C3×C4C2411yescharacteristic
611C22×C3×C4C2411yescharacteristic
612C22×C3×C4C2411yescharacteristic
613C22×C3×C4C2411yescharacteristic
614C22×C3×C4C2411yescharacteristic
615C22×C3×C4C2411yescharacteristic
616C22×C3×C4C2411yescharacteristic
617C22×C3×C4C2411yescharacteristic
618C2×#67—22no—
619C2×#67—22no—
620C2×#67—22no—
621C2×#67—22no—
622C2×#67—22no—
623C2×#67—22no—
624C2×#67—22no—
625C2×#67—22no—
626C2×#67—22no—
627C2×#67—22no—
628C2×#67—41no—
629C2×#67—41no—
630C2×#67—41no—
631C2×#67—41no—
632C2×#67—41no—
633C2×#67—41no—
634C2×#67—41no—
635C2×#67—41no—
636C2×#67—41no—
637C2×#67—41no—
638C2×#67—41no—
639C2×#67—41no—
640C2×#67—41no—
641C2×#67—41no—
642C2×#67—41no—
643C2×#67—41no—
644C2×#67—41no—
645C2×#67—41no—
646C2×#67C2×D414yes—
647C2×#67C2×D414yes—
648C22×Dic3—22no—
649C22×Dic3—22no—
650C22×Dic3—22no—
651C22×Dic3—41no—
652C22×Dic3—41no—
653C22×Dic3—41no—
654C22×Dic3C2411yescharacteristic
655C22×Dic3C2411yescharacteristic
656C22×Dic3C2411yescharacteristic
657C22×Dic3C2411yescharacteristic
658C22×Dic3C2411yescharacteristic
659C22×Dic3C2411yescharacteristic
660C22×Dic3C2411yescharacteristic
661C22×Dic3C2411yescharacteristic
662C22×Dic3C2411yescharacteristic
663C22×Dic3C2411yescharacteristic
664C22×Dic3C2411yescharacteristic
665C22×Dic3C2411yescharacteristic
666C2×D12—22no—
667C2×D12—22no—
668C2×D12—22no—
669C2×D12—22no—
670C2×D12—22no—
671C2×D12—22no—
672C2×D12—41no—
673C2×D12—41no—
674C2×D12—41no—
675C2×D12—41no—
676C2×D12—41no—
677C2×D12—41no—
678C2×D12—41no—
679C2×D12—41no—
680C2×D12C2×D414yes—
681C2×C4×D3—22no—
682C2×C4×D3—22no—
683C2×C4×D3—22no—
684C2×C4×D3—22no—
685C2×C4×D3—22no—
686C2×C4×D3—22no—
687C2×C4×D3—22no—
688C2×C4×D3—22no—
689C2×C4×D3—22no—
690C2×C4×D3—41no—
691C2×C4×D3—41no—
692C2×C4×D3—41no—
693C2×C4×D3—41no—
694C2×C4×D3—41no—
695C2×C4×D3—41no—
696C2×C4×D3—41no—
697C2×C4×D3—41no—
698C2×C4×D3—41no—
699C2×C4×D3—41no—
700C2×C4×D3—41no—
701C2×C4×D3—41no—
702C2×C4×D3—41no—
703C2×C4×D3—41no—
704C2×C4×D3—41no—
705C2×Dic6—22no—
706C2×Dic6—41no—
707C2×Dic6—41no—
708C3×C4⋊C4—22no—
709C3×C4⋊C4—22no—
710C3×C4⋊C4—22no—
711C3×C4⋊C4—22no—
712C3×C4⋊C4—41no—
713C3×C4⋊C4—41no—
714C3×C4⋊C4—41no—
715C3×C4⋊C4—41no—
716C3×C22⋊C4—22no—
717C3×C22⋊C4—22no—
718C3×C22⋊C4—22no—
719C3×C22⋊C4—22no—
720C3×C22⋊C4—22no—
721C3×C22⋊C4—22no—
722C3×C22⋊C4—41no—
723C3×C22⋊C4—41no—
724C3×C22⋊C4—41no—
725C3×C22⋊C4—41no—
726C3×C22⋊C4—41no—
727C3×C22⋊C4—41no—
728C3×C22⋊C4—41no—
729C3×C42—22no—
730#217—22no—
731#217—22no—
732#217—22no—
733#217—22no—
734#217—22no—
735#217—22no—
736#217—22no—
737#217—22no—
738#217—22no—
739#217—41no—
740#217—41no—
741(C2×D3)⋊C4—22no—
742(C2×D3)⋊C4—22no—
743(C2×D3)⋊C4—22no—
744(C2×D3)⋊C4—22no—
745(C2×D3)⋊C4—22no—
746(C2×D3)⋊C4—22no—
747(C2×D3)⋊C4—22no—
748(C2×D3)⋊C4—22no—
749(C2×D3)⋊C4—22no—
750(C2×D3)⋊C4—22no—
751(C2×D3)⋊C4—22no—
752(C2×D3)⋊C4—22no—
753(C2×D3)⋊C4—22no—
754(C2×D3)⋊C4—22no—
755(C2×D3)⋊C4—22no—
756(C2×D3)⋊C4—22no—
757(C2×D3)⋊C4—22no—
758(C2×D3)⋊C4—22no—
759(C2×D3)⋊C4—41no—
760(C2×D3)⋊C4—41no—
761(C2×D3)⋊C4—41no—
762(C2×D3)⋊C4—41no—
763(C2×D3)⋊C4—41no—
764(C2×D3)⋊C4—41no—
765(C2×D3)⋊C4—41no—
766(C2×D3)⋊C4—41no—
767(C2×D3)⋊C4—41no—
768(C2×D3)⋊C4C2×D414yes—
769(C2×D3)⋊C4C2×D414yes—
770(C2×D3)⋊C4#4114yes—
771C4⋊Dic3—22no—
772C4⋊Dic3—22no—
773C4⋊Dic3—22no—
774C4⋊Dic3—41no—
775C4⋊Dic3—41no—
776C4⋊Dic3—41no—
777C4⋊Dic3C2×D414yes—
778Dic3⋊C4—22no—
779Dic3⋊C4—22no—
780Dic3⋊C4—22no—
781Dic3⋊C4—22no—
782Dic3⋊C4—22no—
783Dic3⋊C4—22no—
784Dic3⋊C4—22no—
785Dic3⋊C4—22no—
786Dic3⋊C4—22no—
787Dic3⋊C4—22no—
788Dic3⋊C4—22no—
789Dic3⋊C4—41no—
790Dic3⋊C4—41no—
791Dic3⋊C4—41no—
792C4×Dic3—22no—
793C4×Dic3—22no—
794C4×Dic3—22no—
795C4×Dic3—22no—
796C4×Dic3—22no—
797C4×Dic3—41no—
798C4×Dic3—41no—
799C4×Dic3—41no—
800C4×Dic3—41no—
801C25—31no—
802C22×Q8—31no—
803C22×D4—31no—
804C22×D4—31no—
805C22×D4—31no—
806C22×D4—31no—
807C22×D4—31no—
808C22×D4—31no—
809C22×D4—31no—
810C22×D4—31no—
811C22×D4—31no—
812C22×D4—31no—
813C22×D4—31no—
814C22×D4—31no—
815C22×D4—31no—
816C22×D4—31no—
817C22×D4—31no—
818C22×D4C22×D311yescharacteristic
819C22×D4C22×D311yescharacteristic
820C22×D4C22×D311yescharacteristic
821C23×C4—31no—
822C23×C4—31no—
823C23×C4—31no—
824C23×C4—31no—
825C23×C4—31no—
826C23×C4—31no—
827C23×C4—31no—
828C23×C4—31no—
829C23×C4—31no—
830C23×C4—31no—
831C23×C4C22×D311yescharacteristic
832C23×C4C22×D311yescharacteristic
833#127—64no—
834#126—64no—
835#126—64no—
836#125—64no—
837#124—64no—
838#124—64no—
839#123—24no—
840#123—64no—
841#123—64no—
842#123—64no—
843#123—64no—
844#123—64no—
845#123—122no—
846#123—122no—
847C22⋊Q8—64no—
848C22⋊Q8—122no—
849#121—38no—
850#121—64no—
851#121—64no—
852#121—64no—
853#121—64no—
854#121—64no—
855#121—64no—
856#121—64no—
857#121—64no—
858#121—64no—
859#121—122no—
860#121—122no—
861#120—64no—
862#120—64no—
863#120—122no—
864#120—122no—
865C4×D4—24no—
866C4×D4—64no—
867C4×D4—64no—
868C4×D4—64no—
869C4×D4—122no—
870C4×D4—122no—
871C4×D4—122no—
872C4×D4—122no—
873#117—64no—
874C2×C4⋊C4—31no—
875C2×C4⋊C4—31no—
876C2×C4⋊C4—31no—
877C2×C4⋊C4—31no—
878C2×C4⋊C4—31no—
879C2×C4⋊C4—31no—
880C2×C4⋊C4—31no—
881C2×C4⋊C4—31no—
882C2×C4⋊C4—31no—
883C2×C4⋊C4—31no—
884C2×C4⋊C4—31no—
885C2×C4⋊C4—31no—
886C2×C4⋊C4—31no—
887C2×C4⋊C4—31no—
888C2×C4⋊C4—31no—
889C2×C4⋊C4—31no—
890C2×C4⋊C4—31no—
891C2×C4⋊C4—31no—
892C2×C4⋊C4—31no—
893C2×C4⋊C4—31no—
894C2×C4⋊C4—31no—
895C2×C4⋊C4C22×D311yescharacteristic
896C2×C4⋊C4C22×D311yescharacteristic
897C2×C4⋊C4C22×D311yescharacteristic
898C2×C4⋊C4C22×D311yescharacteristic
899C2×C4⋊C4C22×D311yescharacteristic
900C2×C4⋊C4C22×D311yescharacteristic
901C2×C4⋊C4C22×D311yescharacteristic
902C2×C4⋊C4C22×D311yescharacteristic
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—31no—
923C2×C22⋊C4—31no—
924C2×C22⋊C4—31no—
925C2×C22⋊C4—31no—
926C2×C22⋊C4—31no—
927C2×C22⋊C4—31no—
928C2×C22⋊C4—31no—
929C2×C22⋊C4—31no—
930C2×C22⋊C4—31no—
931C2×C22⋊C4—31no—
932C2×C22⋊C4—31no—
933C2×C22⋊C4—31no—
934C2×C22⋊C4—31no—
935C2×C22⋊C4—31no—
936C2×C22⋊C4—31no—
937C2×C22⋊C4—31no—
938C2×C22⋊C4—31no—
939C2×C22⋊C4—31no—
940C2×C22⋊C4—31no—
941C2×C22⋊C4—31no—
942C2×C22⋊C4—31no—
943C2×C22⋊C4—31no—
944C2×C22⋊C4—64no—
945C2×C22⋊C4—64no—
946C2×C22⋊C4C22×D311yescharacteristic
947C2×C22⋊C4C22×D311yescharacteristic
948C2×C22⋊C4C22×D311yescharacteristic
949C2×C22⋊C4C22×D311yescharacteristic
950C2×C22⋊C4C22×D311yescharacteristic
951C2×C22⋊C4C22×D311yescharacteristic
952C2×C22⋊C4C22×D311yescharacteristic
953C2×C22⋊C4C22×D311yescharacteristic
954C2×C22⋊C4C22×D311yescharacteristic
955C2×C22⋊C4C22×D311yescharacteristic
956C2×C22⋊C4C22×D311yescharacteristic
957C2×C22⋊C4C22×D311yescharacteristic
958C2×C22⋊C4C22×D311yescharacteristic
959C2×C42—31no—
960C2×C42—31no—
961C2×C42—31no—
962C2×C42—31no—
963C2×C42—31no—
964C2×C42—31no—
965C2×C42—31no—
966C2×C42—31no—
967C2×C42—31no—
968C2×C42—122no—
969C2×C42C22×D311yescharacteristic
970#95—31no—
971#95—31no—
972#95—31no—
973#95—31no—
974#95—31no—
975#95—31no—
976#95—31no—
977#95—31no—
978#95—31no—
979#95—31no—
980#95—31no—
981#95—31no—
982#95—31no—
983#95—31no—
984#95—31no—
985#95—31no—
986#95—31no—
987#95—31no—
988#95—31no—
989#95—31no—
990#95—31no—
991#95—31no—
992#95C22×D311yescharacteristic
993#95C22×D311yescharacteristic
994#95C22×D311yescharacteristic
995#95C22×D311yescharacteristic
996#95C22×D311yescharacteristic
997#95C22×D311yescharacteristic
998#95C22×D311yescharacteristic
999#95C22×D311yescharacteristic
1000C23×C3—21no—
1001C23×C3—21no—
1002C23×C3—21no—
1003C23×C3—21no—
1004C23×C3—21no—
1005C23×C3—21no—
1006C23×C3—21no—
1007C23×C3—21no—
1008C23×C3—21no—
1009C23×C3—21no—
1010C23×C3—21no—
1011C23×C3—21no—
1012C23×C3—21no—
1013C23×C3—21no—
1014C23×C3—21no—
1015C23×C3—21no—
1016C23×C3—21no—
1017C23×C3—21no—
1018C23×C3—21no—
1019C23×C3—21no—
1020C23×C3C22×D412yes—
1021C23×C3C2511yescharacteristic
1022C22×D3—21no—
1023C22×D3—21no—
1024C22×D3—21no—
1025C22×D3—21no—
1026C22×D3—21no—
1027C22×D3—21no—
1028C22×D3—21no—
1029C22×D3—21no—
1030C22×D3—21no—
1031C22×D3—21no—
1032C22×D3—21no—
1033C22×D3—21no—
1034C22×D3—21no—
1035C22×D3—21no—
1036C22×D3—21no—
1037C22×D3—21no—
1038C22×D3—21no—
1039C22×D3—21no—
1040C22×D3—21no—
1041C22×D3—21no—
1042C22×D3—21no—
1043C22×D3—21no—
1044C22×D3—21no—
1045C22×D3—21no—
1046C22×D3—21no—
1047C22×D3—44no—
1048C22×D3—44no—
1049C22×D3—82no—
1050C22×D3—82no—
1051C22×D3—82no—
1052C22×D3—82no—
1053C22×D3—82no—
1054C22×D3C22×D412yes—
1055C22×D3C22×D412yes—
1056C22×D3C2×#4112yes—
1057C3×D4—44no—
1058C3×D4—82no—
1059C3×D4—82no—
1060C2×C3×C4—21no—
1061C2×C3×C4—21no—
1062C2×C3×C4—21no—
1063C2×C3×C4—21no—
1064C2×C3×C4—21no—
1065C2×C3×C4—21no—
1066C2×C3×C4—21no—
1067C2×C3×C4—21no—
1068C2×C3×C4—21no—
1069C2×C3×C4—21no—
1070C2×C3×C4—21no—
1071C2×C3×C4—21no—
1072C2×C3×C4—21no—
1073C2×C3×C4—21no—
1074C2×C3×C4—21no—
1075C2×C3×C4—21no—
1076C2×C3×C4—21no—
1077C2×C3×C4—21no—
1078C2×C3×C4—21no—
1079C2×C3×C4—21no—
1080C2×C3×C4—21no—
1081C2×C3×C4—21no—
1082C2×C3×C4—21no—
1083C2×C3×C4—21no—
1084C2×C3×C4—21no—
1085C2×C3×C4—21no—
1086C2×C3×C4—21no—
1087C2×C3×C4—21no—
1088C2×C3×C4—21no—
1089C2×C3×C4—21no—
1090C2×C3×C4—21no—
1091C2×C3×C4—21no—
1092C2×C3×C4—21no—
1093C2×C3×C4—44no—
1094C2×C3×C4—82no—
1095C2×C3×C4C22×D412yes—
1096C2×C3×C4C22×D412yes—
1097C2×C3×C4C2×#4112yes—
1098#67—44no—
1099#67—44no—
1100#67—44no—
1101#67—44no—
1102#67—82no—
1103#67—82no—
1104#67—82no—
1105#67—82no—
1106#67—82no—
1107#67—82no—
1108C2×Dic3—21no—
1109C2×Dic3—21no—
1110C2×Dic3—21no—
1111C2×Dic3—21no—
1112C2×Dic3—21no—
1113C2×Dic3—21no—
1114C2×Dic3—21no—
1115C2×Dic3—21no—
1116C2×Dic3—21no—
1117C2×Dic3—21no—
1118C2×Dic3—21no—
1119C2×Dic3—21no—
1120C2×Dic3—21no—
1121C2×Dic3—21no—
1122C2×Dic3—21no—
1123C2×Dic3—21no—
1124C2×Dic3—21no—
1125C2×Dic3—21no—
1126C2×Dic3—21no—
1127C2×Dic3—21no—
1128C2×Dic3—21no—
1129C2×Dic3—21no—
1130C2×Dic3—21no—
1131C2×Dic3—21no—
1132C2×Dic3—21no—
1133C2×Dic3—21no—
1134C2×Dic3—21no—
1135C2×Dic3—21no—
1136C2×Dic3—21no—
1137C2×Dic3—21no—
1138C2×Dic3—21no—
1139C2×Dic3—44no—
1140C2×Dic3—44no—
1141C2×Dic3C22×D412yes—
1142C2×Dic3C22×D412yes—
1143C2×Dic3C2×#4112yes—
1144C2×Dic3H(5,𝔽2)12yes—
1145C2×Dic3H(5,𝔽2)12yes—
1146D12—44no—
1147D12—44no—
1148D12—44no—
1149D12—82no—
1150D12—82no—
1151C4×D3—44no—
1152C4×D3—82no—
1153C4×D3—82no—
1154C4×D3—82no—
1155C4×D3—82no—
1156C4×D3—82no—
1157C4×D3—82no—
1158C4×D3—82no—
1159Dic6—82no—
1160C24—31no—
1161C24—31no—
1162C24—31no—
1163C24—31no—
1164C24—62no—
1165C24—62no—
1166C24—121no—
1167C24—121no—
1168C24—121no—
1169C24—121no—
1170C24—121no—
1171C24C23×D311yescharacteristic
1172C24C23×D311yescharacteristic
1173C24C23×D311yescharacteristic
1174C2×Q8—62no—
1175C2×Q8—121no—
1176C2×Q8—121no—
1177C2×D4—22no—
1178C2×D4—22no—
1179C2×D4—22no—
1180C2×D4—34no—
1181C2×D4—34no—
1182C2×D4—34no—
1183C2×D4—41no—
1184C2×D4—41no—
1185C2×D4—41no—
1186C2×D4—41no—
1187C2×D4—41no—
1188C2×D4—41no—
1189C2×D4—62no—
1190C2×D4—62no—
1191C2×D4—62no—
1192C2×D4—62no—
1193C2×D4—62no—
1194C2×D4—62no—
1195C2×D4—62no—
1196C2×D4—62no—
1197C2×D4—62no—
1198C2×D4—62no—
1199C2×D4—62no—
1200C2×D4—62no—
1201C2×D4—62no—
1202C2×D4—62no—
1203C2×D4—62no—
1204C2×D4—62no—
1205C2×D4—121no—
1206C2×D4—121no—
1207C2×D4—121no—
1208C2×D4—121no—
1209C2×D4—121no—
1210C2×D4—121no—
1211C2×D4—121no—
1212C2×D4—121no—
1213C2×D4—121no—
1214C2×D4—121no—
1215C2×D4—121no—
1216C2×D4—121no—
1217C2×D4—121no—
1218C2×D4—121no—
1219C2×D4—121no—
1220C2×D4—121no—
1221C2×D4—121no—
1222C2×D4—121no—
1223C2×D4—121no—
1224C2×D4—121no—
1225C2×D4—121no—
1226C2×D4—121no—
1227C2×D4—121no—
1228C2×D4—121no—
1229C2×D4—121no—
1230C2×D4—121no—
1231C22×C4—22no—
1232C22×C4—31no—
1233C22×C4—31no—
1234C22×C4—31no—
1235C22×C4—31no—
1236C22×C4—31no—
1237C22×C4—31no—
1238C22×C4—31no—
1239C22×C4—31no—
1240C22×C4—31no—
1241C22×C4—31no—
1242C22×C4—31no—
1243C22×C4—31no—
1244C22×C4—41no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—62no—
1249C22×C4—62no—
1250C22×C4—62no—
1251C22×C4—62no—
1252C22×C4—62no—
1253C22×C4—62no—
1254C22×C4—62no—
1255C22×C4—62no—
1256C22×C4—62no—
1257C22×C4—62no—
1258C22×C4—62no—
1259C22×C4—62no—
1260C22×C4—121no—
1261C22×C4—121no—
1262C22×C4—121no—
1263C22×C4—121no—
1264C22×C4—121no—
1265C22×C4—121no—
1266C22×C4—121no—
1267C22×C4—121no—
1268C22×C4—121no—
1269C22×C4—121no—
1270C22×C4—121no—
1271C22×C4—121no—
1272C22×C4—121no—
1273C22×C4—121no—
1274C22×C4—121no—
1275C22×C4—121no—
1276C22×C4—121no—
1277C22×C4—121no—
1278C22×C4D3×D414yes—
1279C22×C4C23×D311yescharacteristic
1280C22×C4C23×D311yescharacteristic
1281C22×C4C23×D311yescharacteristic
1282C22×C4C23×D311yescharacteristic
1283C22×C4C23×D311yescharacteristic
1284C22×C4C23×D311yescharacteristic
1285C22×C4C23×D311yescharacteristic
1286C22×C4C23×D311yescharacteristic
1287C22×C4C23×D311yescharacteristic
1288C22×C4C23×D311yescharacteristic
1289C22×C4C23×D311yescharacteristic
1290C22×C4C23×D311yescharacteristic
1291C4⋊C4—22no—
1292C4⋊C4—22no—
1293C4⋊C4—22no—
1294C4⋊C4—22no—
1295C4⋊C4—34no—
1296C4⋊C4—41no—
1297C4⋊C4—41no—
1298C4⋊C4—41no—
1299C4⋊C4—41no—
1300C4⋊C4—62no—
1301C4⋊C4—62no—
1302C4⋊C4—62no—
1303C4⋊C4—62no—
1304C4⋊C4—62no—
1305C4⋊C4—62no—
1306C4⋊C4—62no—
1307C4⋊C4—62no—
1308C4⋊C4—62no—
1309C4⋊C4—62no—
1310C4⋊C4—62no—
1311C4⋊C4—62no—
1312C4⋊C4—62no—
1313C4⋊C4—62no—
1314C4⋊C4—121no—
1315C4⋊C4—121no—
1316C4⋊C4—121no—
1317C4⋊C4—121no—
1318C4⋊C4—121no—
1319C4⋊C4—121no—
1320C22⋊C4—22no—
1321C22⋊C4—22no—
1322C22⋊C4—22no—
1323C22⋊C4—22no—
1324C22⋊C4—22no—
1325C22⋊C4—22no—
1326C22⋊C4—34no—
1327C22⋊C4—34no—
1328C22⋊C4—34no—
1329C22⋊C4—41no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—62no—
1337C22⋊C4—62no—
1338C22⋊C4—62no—
1339C22⋊C4—62no—
1340C22⋊C4—62no—
1341C22⋊C4—62no—
1342C22⋊C4—62no—
1343C22⋊C4—62no—
1344C22⋊C4—62no—
1345C22⋊C4—62no—
1346C22⋊C4—62no—
1347C22⋊C4—62no—
1348C22⋊C4—62no—
1349C22⋊C4—62no—
1350C22⋊C4—62no—
1351C22⋊C4—62no—
1352C22⋊C4—62no—
1353C22⋊C4—62no—
1354C22⋊C4—62no—
1355C22⋊C4—62no—
1356C22⋊C4—62no—
1357C22⋊C4—62no—
1358C22⋊C4—62no—
1359C22⋊C4—62no—
1360C22⋊C4—62no—
1361C22⋊C4—62no—
1362C22⋊C4—62no—
1363C22⋊C4—121no—
1364C22⋊C4—121no—
1365C22⋊C4—121no—
1366C22⋊C4—121no—
1367C22⋊C4—121no—
1368C22⋊C4—121no—
1369C22⋊C4—121no—
1370C22⋊C4—121no—
1371C22⋊C4—121no—
1372C22⋊C4—121no—
1373C22⋊C4—121no—
1374C42—22no—
1375C42—62no—
1376C42—62no—
1377C42—62no—
1378C42—62no—
1379C42—62no—
1380C42—121no—
1381C42—121no—
1382C42—121no—
1383C42—121no—
1384C22×C3—22no—
1385C22×C3—22no—
1386C22×C3—22no—
1387C22×C3—41no—
1388C22×C3—41no—
1389C22×C3—41no—
1390C22×C3—41no—
1391C22×C3—41no—
1392C22×C3—41no—
1393C22×C3—41no—
1394C22×C3—41no—
1395C22×C3—41no—
1396C22×C3—41no—
1397C22×C3—41no—
1398C22×C3—41no—
1399C22×C3—41no—
1400C22×C3—41no—
1401C22×C3—41no—
1402C22×C3—41no—
1403C22×C3—41no—
1404C22×C3—41no—
1405C22×C3C23×D411yescharacteristic
1406C22×C3C22×#4111yescharacteristic
1407C22×C3C2×H(5,𝔽2)11yescharacteristic
1408C22×C3C2×H(5,𝔽2)11yescharacteristic
1409C22×C3#58511yescharacteristic
1410C22×C3#58511yescharacteristic
1411C22×C3#58511yescharacteristic
1412C2×D3—22no—
1413C2×D3—22no—
1414C2×D3—22no—
1415C2×D3—22no—
1416C2×D3—22no—
1417C2×D3—22no—
1418C2×D3—22no—
1419C2×D3—22no—
1420C2×D3—22no—
1421C2×D3—41no—
1422C2×D3—41no—
1423C2×D3—41no—
1424C2×D3—41no—
1425C2×D3—41no—
1426C2×D3—41no—
1427C2×D3—41no—
1428C2×D3—41no—
1429C2×D3—41no—
1430C2×D3—41no—
1431C2×D3—41no—
1432C2×D3—41no—
1433C2×D3—41no—
1434C2×D3—41no—
1435C2×D3—41no—
1436C2×D3—41no—
1437C2×D3—41no—
1438C2×D3—41no—
1439C2×D3—41no—
1440C2×D3—88no—
1441C3×C4—22no—
1442C3×C4—22no—
1443C3×C4—22no—
1444C3×C4—41no—
1445C3×C4—41no—
1446C3×C4—41no—
1447C3×C4—41no—
1448C3×C4—41no—
1449C3×C4—41no—
1450C3×C4—41no—
1451C3×C4—41no—
1452C3×C4—41no—
1453Dic3—22no—
1454Dic3—22no—
1455Dic3—22no—
1456Dic3—22no—
1457Dic3—22no—
1458Dic3—41no—
1459Dic3—41no—
1460Dic3—41no—
1461Dic3—41no—
1462Dic3—41no—
1463Dic3—41no—
1464Dic3—41no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—32no—
1486C23—32no—
1487C23—32no—
1488C23—61no—
1489C23—61no—
1490C23—61no—
1491C23—61no—
1492C23—61no—
1493C23—61no—
1494C23—61no—
1495C23—61no—
1496C23—61no—
1497C23—61no—
1498C23—61no—
1499C23—61no—
1500C23—61no—
1501C23—61no—
1502C23—61no—
1503C23—61no—
1504C23—61no—
1505C23—61no—
1506C23—61no—
1507C23—61no—
1508C23—61no—
1509C23—61no—
1510C23—61no—
1511C23—61no—
1512C23—61no—
1513C23—124no—
1514C23—124no—
1515C23—242no—
1516C23—242no—
1517C23—242no—
1518C23—242no—
1519C23—242no—
1520C23C2×D3×D412yes—
1521C23C24×D311yescharacteristic
1522Q8—242no—
1523D4—44no—
1524D4—82no—
1525D4—82no—
1526D4—124no—
1527D4—124no—
1528D4—124no—
1529D4—124no—
1530D4—124no—
1531D4—124no—
1532D4—124no—
1533D4—242no—
1534D4—242no—
1535D4—242no—
1536D4—242no—
1537D4—242no—
1538D4—242no—
1539D4—242no—
1540D4—242no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—32no—
1575C2×C4—32no—
1576C2×C4—32no—
1577C2×C4—32no—
1578C2×C4—32no—
1579C2×C4—44no—
1580C2×C4—61no—
1581C2×C4—61no—
1582C2×C4—61no—
1583C2×C4—61no—
1584C2×C4—61no—
1585C2×C4—61no—
1586C2×C4—61no—
1587C2×C4—61no—
1588C2×C4—61no—
1589C2×C4—61no—
1590C2×C4—61no—
1591C2×C4—61no—
1592C2×C4—61no—
1593C2×C4—61no—
1594C2×C4—61no—
1595C2×C4—61no—
1596C2×C4—61no—
1597C2×C4—61no—
1598C2×C4—61no—
1599C2×C4—61no—
1600C2×C4—61no—
1601C2×C4—61no—
1602C2×C4—61no—
1603C2×C4—61no—
1604C2×C4—61no—
1605C2×C4—61no—
1606C2×C4—61no—
1607C2×C4—61no—
1608C2×C4—61no—
1609C2×C4—61no—
1610C2×C4—61no—
1611C2×C4—82no—
1612C2×C4—124no—
1613C2×C4—124no—
1614C2×C4—124no—
1615C2×C4—242no—
1616C2×C4—242no—
1617C2×C4—242no—
1618C2×C4—242no—
1619C2×C4—242no—
1620C2×C4—242no—
1621C2×C4—242no—
1622C2×C4C2×D3×D412yes—
1623C2×C4C2×D3×D412yes—
1624C2×C4D3×#4112yes—
1625C2×C3—42no—
1626C2×C3—81no—
1627C2×C3—81no—
1628C2×C3#345511yescharacteristic
1629C2×C3D4×#4111yescharacteristic
1630C2×C3#349611yescharacteristic
1631C2×C3#349611yescharacteristic
1632C2×C3#351911yescharacteristic
1633C2×C3#353311yescharacteristic
1634C2×C3#356211yescharacteristic
1635D3—42no—
1636D3—42no—
1637D3—42no—
1638D3—81no—
1639C22—22no—
1640C22—22no—
1641C22—22no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—62no—
1661C22—62no—
1662C22—62no—
1663C22—62no—
1664C22—62no—
1665C22—62no—
1666C22—62no—
1667C22—62no—
1668C22—62no—
1669C22—121no—
1670C22—121no—
1671C22—121no—
1672C22—121no—
1673C22—121no—
1674C22—121no—
1675C22—121no—
1676C22—121no—
1677C22—121no—
1678C22—121no—
1679C22—121no—
1680C22—121no—
1681C22—121no—
1682C22—121no—
1683C22—121no—
1684C22—121no—
1685C22—121no—
1686C22—121no—
1687C22—121no—
1688C22—248no—
1689C22C22×D3×D411yescharacteristic
1690C22C2×D3×#4111yescharacteristic
1691C22#596411yescharacteristic
1692C22D3×H(5,𝔽2)11yescharacteristic
1693C22D3×H(5,𝔽2)11yescharacteristic
1694C22#596611yescharacteristic
1695C22#596811yescharacteristic
1696C4—22no—
1697C4—22no—
1698C4—22no—
1699C4—41no—
1700C4—41no—
1701C4—41no—
1702C4—41no—
1703C4—41no—
1704C4—41no—
1705C4—41no—
1706C4—41no—
1707C4—41no—
1708C4—62no—
1709C4—62no—
1710C4—62no—
1711C4—62no—
1712C4—62no—
1713C4—121no—
1714C4—121no—
1715C4—121no—
1716C4—121no—
1717C4—121no—
1718C4—121no—
1719C4—121no—
1720C3#3939211yescharacteristic, complemented, Sylow
1721C2—42no—
1722C2—81no—
1723C2—81no—
1724C2—122no—
1725C2—122no—
1726C2—122no—
1727C2—241no—
1728C2#8603711yescharacteristic
1729C2#8629811yescharacteristic
1730C2#8638211yescharacteristic
1731C2#8640711yescharacteristic
1732C2#8645711yescharacteristic
1733C2#8648811yescharacteristic
1734C2#8652311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2630C2
hypercenter#2630D3
hypocenterC3#39392
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2630

Complements

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

NH ≅ G/Ntype
1. C2×#5657C2semidirect
2. C2×#5562C2semidirect
3. C3×#2630C2semidirect
4. #82891C2semidirect
5. C4×#939C2semidirect
6. #77979C2semidirect
7. #77790C2semidirect
8. #77700C2semidirect
9. #77466C2semidirect
10. #77431C2semidirect
11. #77417C2semidirect
12. #77416C2semidirect
13. #77366C2semidirect
14. #77145C2semidirect
15. #77136C2semidirect
16. #77127C2semidirect
17. #77115C2semidirect
18. #76948C2semidirect
19. #76903C2semidirect
20. #76769C2semidirect
21. #76756C2semidirect
22. #75832C2semidirect
23. #75512C2semidirect
24. #75309C2semidirect
25. #75016C2semidirect
26. #74894C2semidirect
27. #74757C2semidirect
28. #74611C2semidirect
29. #74476C2semidirect
30. #74034C2semidirect
31. #73865C2semidirect
34. C2×C3×C4×D4C22semidirect
35. C2×#940C22semidirect
44. C2×#929C22semidirect
45. C2×#929C22semidirect
48. C22×C4×Dic3C22semidirect
53. C2×#896C22semidirect
59. C2×#890C22semidirect
67. C2×#883C22semidirect
68. C2×#883C22semidirect
69. C2×#883C22semidirect
73. C2×#67⋊C4C22semidirect
77. C2×C4×D12C22semidirect
79. C3×#398C22semidirect
80. C3×#397C22semidirect
82. C3×#396C22semidirect
85. C3×#394C22semidirect
88. C3×#387C22semidirect
90. C3×#385C22semidirect
91. C3×#380C22semidirect
96. #5220C22semidirect
97. C4×#217C22semidirect
99. #4994C22semidirect
104. #4990C22semidirect
105. #4990C22semidirect
108. #4989C22semidirect
109. #4989C22semidirect
112. #4984C22semidirect
113. #4981C22semidirect
114. #4980C22semidirect
115. #4976C22semidirect
116. #4976C22semidirect
117. #4976C22semidirect
118. #4976C22semidirect
119. Dic3×C4⋊C4C22semidirect
120. #4972C22semidirect
123. #4961C22semidirect
124. #4961C22semidirect
132. #4958C22semidirect
133. #4958C22semidirect
137. #4957C22semidirect
141. #4956C22semidirect
143. #4953C22semidirect
148. #4947C22semidirect
151. #4945C22semidirect
152. #4945C22semidirect
154. #4942C22semidirect
155. #4942C22semidirect
157. C4×Dic3⋊C4C22semidirect
160. #4674C22semidirect
163. #4672C22semidirect
165. #4670C22semidirect
167. #4669C22semidirect
173. #4666C22semidirect
174. #4666C22semidirect
179. #4665C22semidirect
181. D3×#95C22semidirect
182. #4660C22semidirect
183. #4657C22semidirect
184. #4657C22semidirect
185. #4656C22semidirect
186. #4655C22semidirect
187. #4653C22semidirect
188. #4647C22semidirect
189. #4646C22semidirect
202. #2630D3semidirect
296. #930D4semidirect
461. C2×C4×D4C2×D3semidirect
471. #398C2×D3semidirect
477. #397C2×D3semidirect
483. #396C2×D3semidirect
498. #394C2×D3semidirect
537. #387C2×D3semidirect
561. #385C2×D3semidirect
566. #380C2×D3semidirect
1720. C3#39392semidirect

Maximal subgroups

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

subgroupindex
C2×#56572
C2×#55622
C3×#26302
#828912
C4×#9392
#779792
#777902
#777002
#774662
#774312
#774172
#774162
#773662
#771452
#771362
#771272
#771152
#769482
#769032
#767692
#767562
#758322
#755122
#753092
#750162
#748942
#747572
#746112
#744762
#740342
#738652
#393923