Finite Group Databasebeta

← #11024962

Subgroups — #11024962

Order 768.

2584 conjugacy classes of subgroups.

The subgroup lattice has 1748 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5596C211yesmaximal, characteristic, complemented
2C2×#5593C211yesmaximal, characteristic, complemented
3C3×#2424C211yesmaximal, characteristic, complemented
4#82717C211yesmaximal, characteristic, complemented
5#82655C211yesmaximal, characteristic, complemented
6#82645C211yesmaximal, characteristic, complemented
7#82592C211yesmaximal, characteristic, complemented
8#82581C211yesmaximal, characteristic, complemented
9#82581C211yesmaximal, characteristic, complemented
10#82330C211yesmaximal, characteristic, complemented
11#82327C211yesmaximal, characteristic, complemented
12#82109C211yesmaximal, characteristic, complemented
13C2×#4945C211yesmaximal, characteristic, complemented
14#77417C211yesmaximal, characteristic, complemented
15#77362C211yesmaximal, characteristic, complemented
16#77118C211yesmaximal, characteristic, complemented
17#77035C211yesmaximal, characteristic, complemented
18#77030C211yesmaximal, characteristic, complemented
19#76921C211yesmaximal, characteristic, complemented
20#76711C211yesmaximal, characteristic, complemented
21#76679C211yesmaximal, characteristic, complemented
22#76470C211yesmaximal, characteristic, complemented
23#76328C211yesmaximal, characteristic, complemented
24#75694C211yesmaximal, characteristic, complemented
25#75508C211yesmaximal, characteristic, complemented
26#74822C211yesmaximal, characteristic, complemented
27#74785C211yesmaximal, characteristic, complemented
28#74707C211yesmaximal, characteristic, complemented
29#74672C211yesmaximal, characteristic, complemented
30#74589C211yesmaximal, characteristic, complemented
31#74418C211yesmaximal, characteristic, complemented
32#37697—31nomaximal, Sylow
33C22×#237C2211yescharacteristic
34C22×#237C2211yescharacteristic
35C2×C3×#121C2211yescharacteristic
36C2×C3×#121C2211yescharacteristic
37C2×C3×#120C2211yescharacteristic
38C2×C3×#120C2211yescharacteristic
39C2×C3×C4×D4C2211yescharacteristic
40C22×C3×C22⋊C4C2211yescharacteristic
41C2×#953C2211yescharacteristic
42C2×#953C2211yescharacteristic
43C22×#217C2211yescharacteristic
44C22×#217C2211yescharacteristic
45C2×#940C2211yescharacteristic, complemented
46C2×#939C2211yescharacteristic
47C2×#939C2211yescharacteristic
48C2×#939C2211yescharacteristic
49C2×#938C2211yescharacteristic
50C2×#936C2211yescharacteristic
51C2×#935C2211yescharacteristic
52C2×#935C2211yescharacteristic, complemented
53C2×D4×Dic3C2211yescharacteristic
54C2×D4×Dic3C2211yescharacteristic, complemented
55C2×#930C2211yescharacteristic
56C2×C4×#67C2211yescharacteristic
57C22×Dic3⋊C4C2211yescharacteristic
58C22×C4×Dic3C2211yescharacteristic
59#5596—28no—
60#5593—28no—
61C2×#894C2211yescharacteristic, complemented
62C2×#893C2211yescharacteristic, complemented
63C2×#888C2211yescharacteristic, complemented
64C2×#885C2211yescharacteristic
65C2×#885C2211yescharacteristic, complemented
66C2×#885C2211yescharacteristic, complemented
67C2×#884C2211yescharacteristic
68C2×#883C2211yescharacteristic
69C2×#67⋊C4C2211yescharacteristic
70C2×#67⋊C4C2211yescharacteristic, complemented
71C2×#67⋊C4C2211yescharacteristic, complemented
72C2×#879C2211yescharacteristic
73C2×#879C2211yescharacteristic
74C2×#878C2211yescharacteristic
75C3×#396C2211yescharacteristic
76C3×#394C2211yescharacteristic
77C3×#394C2211yescharacteristic
78C3×#392C2211yescharacteristic
79C3×#390C2211yescharacteristic
80C3×#388C2211yescharacteristic
81C3×#386C2211yescharacteristic
82C3×#386C2211yescharacteristic
83C3×#385C2211yescharacteristic
84#5223C2211yescharacteristic
85#5223C2211yescharacteristic
86#5223C2211yescharacteristic
87#5223C2211yescharacteristic
88#5223C2211yescharacteristic
89#5223C2211yescharacteristic
90#5222C2211yescharacteristic
91#5222C2211yescharacteristic
92#5222C2211yescharacteristic, complemented
93#5220C2211yescharacteristic
94#5220C2211yescharacteristic
95#5220C2211yescharacteristic
96#5220C2211yescharacteristic
97#5220C2211yescharacteristic
98#5220C2211yescharacteristic
99#5220C2211yescharacteristic
100#5213C2211yescharacteristic
101#5213C2211yescharacteristic, complemented
102#5213C2211yescharacteristic, complemented
103#5210C2211yescharacteristic
104#5210C2211yescharacteristic, complemented
105C2×C3⋊#95C2211yescharacteristic
106C2×C3⋊#95C2211yescharacteristic
107C2×C3⋊#95C2211yescharacteristic, complemented
108#4993C2211yescharacteristic, complemented
109#4989C2211yescharacteristic, complemented
110#4989C2211yescharacteristic, complemented
111#4987C2211yescharacteristic, complemented
112#4982C2211yescharacteristic, complemented
113#4981C2211yescharacteristic, complemented
114#4980C2211yescharacteristic, complemented
115#4980C2211yescharacteristic, complemented
116#4978C2211yescharacteristic, complemented
117#4978C2211yescharacteristic, complemented
118#4976C2211yescharacteristic, complemented
119#4976C2211yescharacteristic, complemented
120#4973C2211yescharacteristic, complemented
121#4961C2211yescharacteristic, complemented
122#4960C2211yescharacteristic
123#4959C2211yescharacteristic
124#4959C2211yescharacteristic
125#4959C2211yescharacteristic
126#4959C2211yescharacteristic
127#4959C2211yescharacteristic, complemented
128#4958C2211yescharacteristic
129#4958C2211yescharacteristic
130#4958C2211yescharacteristic
131#4958C2211yescharacteristic, complemented
132#4957C2211yescharacteristic
133#4956C2211yescharacteristic
134#4956C2211yescharacteristic
135#4956C2211yescharacteristic
136#4956C2211yescharacteristic
137#4956C2211yescharacteristic
138#4956C2211yescharacteristic, complemented
139#4956C2211yescharacteristic, complemented
140#4956C2211yescharacteristic, complemented
141#4952C2211yescharacteristic
142#4952C2211yescharacteristic
143#4952C2211yescharacteristic, complemented
144#4952C2211yescharacteristic, complemented
145#4951C2211yescharacteristic
146#4949C2211yescharacteristic, complemented
147#4948C2211yescharacteristic
148#4947C2211yescharacteristic
149#4947C2211yescharacteristic
150#4947C2211yescharacteristic
151#4947C2211yescharacteristic
152#4947C2211yescharacteristic, complemented
153#4946C2211yescharacteristic, complemented
154#4945C2211yescharacteristic
155#4945C2211yescharacteristic
156#4945C2211yescharacteristic
157#4945C2211yescharacteristic
158#4945C2211yescharacteristic
159#4945C2211yescharacteristic
160#4945C2211yescharacteristic
161#4945C2211yescharacteristic
162#4944C2211yescharacteristic, complemented
163#4944C2211yescharacteristic, complemented
164#4943C2211yescharacteristic
165#4943C2211yescharacteristic
166#4943C2211yescharacteristic, complemented
167#4942C2211yescharacteristic
168#4942C2211yescharacteristic, complemented
169Dic3×C22⋊C4C2211yescharacteristic, complemented
170#4940C2211yescharacteristic, complemented
171C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
172#4933C2211yescharacteristic, complemented
173#4929C2211yescharacteristic, complemented
174#4675C2211yescharacteristic, complemented
175#4675C2211yescharacteristic, complemented
176#4673C2211yescharacteristic, complemented
177#4672C2211yescharacteristic, complemented
178#4669C2211yescharacteristic, complemented
179#4664C2211yescharacteristic, complemented
180D3×#95C2211yescharacteristic, complemented
181#4660C2211yescharacteristic, complemented
182#4658C2211yescharacteristic, complemented
183#4655C2211yescharacteristic, complemented
184#4652C2211yescharacteristic, complemented
185#4652C2211yescharacteristic, complemented
186#4646C2211yescharacteristic, complemented
187#4646C2211yescharacteristic, complemented
188#4646C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#538—31no—
191C2×#532—31no—
192#2855—31no—
193#2716—31no—
194#2716—31no—
195#2712—31no—
196#2712—31no—
197#2710—31no—
198#2710—31no—
199#2673—31no—
200#2673—31no—
201#2639—31no—
202#2617—31no—
203#2467—31no—
204#2467—31no—
205#2459—31no—
206#2459—31no—
207#2444—31no—
208#2444—31no—
209#2443—31no—
210#2443—31no—
211#2425—31no—
212#2425—31no—
213#2424—31no—
214#2424D311yescharacteristic, complemented
215#2404—31no—
216#2404—31no—
217#2339—31no—
218#2339—31no—
219#2325—31no—
220C2×#388—31no—
221C25×C3C2311yescharacteristic
222C22×C3×D4C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C22×C3×D4C2311yescharacteristic
229C23×C3×C4C2311yescharacteristic
230C23×C3×C4C2311yescharacteristic
231C23×C3×C4C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C22×#67C2311yescharacteristic
242C23×Dic3C2311yescharacteristic
243C23×Dic3C2311yescharacteristic
244C23×Dic3C2311yescharacteristic
245C23×Dic3C2311yescharacteristic
246C23×Dic3C2311yescharacteristic
247C23×Dic3C2311yescharacteristic
248C23×Dic3C2311yescharacteristic
249C2×#237—24no—
250C2×#237—24no—
251C2×#237—24no—
252C2×#237—24no—
253C2×#237—42no—
254C2×#237—42no—
255C22×D12C2311yescharacteristic
256C22×C4×D3C2311yescharacteristic
257C22×C4×D3C2311yescharacteristic
258C22×C4×D3C2311yescharacteristic
259C22×C4×D3C2311yescharacteristic
260C22×Dic6C2311yescharacteristic
261C22×Dic6C2311yescharacteristic
262C22×Dic6C2311yescharacteristic
263C3×#121—24no—
264C3×#121—42no—
265C3×#120—24no—
266C3×#120—42no—
267C3×C4×D4—42no—
268C2×C3×C4⋊C4C2311yescharacteristic
269C2×C3×C4⋊C4C2311yescharacteristic
270C2×C3×C4⋊C4C2311yescharacteristic
271C2×C3×C4⋊C4C2311yescharacteristic
272C2×C3×C22⋊C4—42no—
273C2×C3×C22⋊C4C2311yescharacteristic
274C2×C3×C22⋊C4C2311yescharacteristic
275C2×C3×C22⋊C4C2311yescharacteristic
276C2×C3×C22⋊C4C2311yescharacteristic
277C2×C3×C22⋊C4C2311yescharacteristic
278C2×C3×C22⋊C4C2311yescharacteristic
279C2×C3×C22⋊C4C2311yescharacteristic
280C2×C3×C22⋊C4C2311yescharacteristic
281C2×C3×C22⋊C4C2311yescharacteristic
282C2×C3×C22⋊C4C2311yescharacteristic
283C2×C3×C22⋊C4C2311yescharacteristic
284C2×C3×C22⋊C4C2311yescharacteristic
285C2×C3×C22⋊C4C2311yescharacteristic
286C2×C3×C22⋊C4C2311yescharacteristic
287C2×C3×C22⋊C4C2311yescharacteristic
288C2×C3×C42C2311yescharacteristic
289#953—24no—
290#953—42no—
291C2×#217—24no—
292C2×#217—24no—
293C2×#217C2311yescharacteristic
294C2×#217C2311yescharacteristic
295C2×#217C2311yescharacteristic
296C2×#217C2311yescharacteristic
297C2×#217C2311yescharacteristic
298C2×#217C2311yescharacteristic
299C2×#217C2311yescharacteristic
300C2×#217C2311yescharacteristic
301C2×#217C2311yescharacteristic
302C2×#217C2311yescharacteristic
303C2×#217C2311yescharacteristic
304C2×#217C2311yescharacteristic
305C2×#217C2311yescharacteristic
306C2×#217C2311yescharacteristic
307C2×#217C2311yescharacteristic
308C2×#217C2311yescharacteristic
309C2×#217C2311yescharacteristic
310C2×#217C2311yescharacteristic
311C2×#217C2311yescharacteristic
312C2×#217C2311yescharacteristic
313C2×#217C2311yescharacteristic
314C2×#217C2311yescharacteristic
315C2×#217C2311yescharacteristic
316#940—24no—
317#939—24no—
318#939—24no—
319#939D418yescomplemented
320#938—24no—
321#936—24no—
322#935—24no—
323#935—42no—
324D4×Dic3—24no—
325D4×Dic3—24no—
326#930—24no—
327C4×#67—42no—
328C2×(C2×D3)⋊C4C2311yescharacteristic
329C2×(C2×D3)⋊C4C2311yescharacteristic
330C2×(C2×D3)⋊C4C2311yescharacteristic
331C2×(C2×D3)⋊C4C2311yescharacteristic
332C2×(C2×D3)⋊C4C2311yescharacteristic
333C2×(C2×D3)⋊C4C2311yescharacteristic
334C2×(C2×D3)⋊C4C2311yescharacteristic
335C2×(C2×D3)⋊C4C2311yescharacteristic
336C2×(C2×D3)⋊C4C2311yescharacteristic
337C2×(C2×D3)⋊C4C2311yescharacteristic
338C2×(C2×D3)⋊C4C2311yescharacteristic
339C2×(C2×D3)⋊C4C2311yescharacteristic
340C2×(C2×D3)⋊C4C2311yescharacteristic
341C2×(C2×D3)⋊C4C2311yescharacteristic
342C2×C4⋊Dic3C2311yescharacteristic
343C2×C4⋊Dic3C2311yescharacteristic
344C2×C4⋊Dic3C2311yescharacteristic
345C2×Dic3⋊C4—42no—
346C2×Dic3⋊C4C2311yescharacteristic
347C2×Dic3⋊C4C2311yescharacteristic
348C2×Dic3⋊C4C2311yescharacteristic
349C2×Dic3⋊C4C2311yescharacteristic
350C2×Dic3⋊C4C2311yescharacteristic
351C2×Dic3⋊C4C2311yescharacteristic
352C2×Dic3⋊C4C2311yescharacteristic
353C2×Dic3⋊C4C2311yescharacteristic
354C2×Dic3⋊C4C2311yescharacteristic
355C2×Dic3⋊C4C2311yescharacteristic
356C2×Dic3⋊C4C2311yescharacteristic
357C2×Dic3⋊C4C2311yescharacteristic
358C2×Dic3⋊C4C2311yescharacteristic
359C2×Dic3⋊C4C2311yescharacteristic
360C2×C4×Dic3—24no—
361C2×C4×Dic3C2311yescharacteristic
362C2×C4×Dic3C2311yescharacteristic
363C2×C4×Dic3C2311yescharacteristic
364C2×C4×Dic3C2311yescharacteristic
365C2×C4×Dic3C2311yescharacteristic
366C2×C4×Dic3C2311yescharacteristic
367C2×C4×Dic3C2311yescharacteristic
368#894—42no—
369#893—24no—
370#888—24no—
371#885—24no—
372#885—24no—
373#885—24no—
374#884—42no—
375#883—24no—
376#67⋊C4—24no—
377#67⋊C4—24no—
378#67⋊C4—24no—
379#879—24no—
380#879—24no—
381#878—24no—
382C3×#95C2311yescharacteristic
383C3×#95C2311yescharacteristic
384C3×#95C2311yescharacteristic
385C3×#95C2311yescharacteristic
386C3⋊#95C2311yescharacteristic
387C3⋊#95C2311yescharacteristic
388C3⋊#95C2311yescharacteristic
389C3⋊#95C2311yescharacteristic
390C3⋊#95C2311yescharacteristic
391C3⋊#95C2311yescharacteristic
392C3⋊#95C2311yescharacteristic
393C3⋊#95C2311yescharacteristic
394C3⋊#95C2311yescharacteristic
395C3⋊#95C2311yescharacteristic
396C3⋊#95C2311yescharacteristic
397C3⋊#95C2311yescharacteristic
398C3⋊#95C2311yescharacteristic
399C3⋊#95C2311yescharacteristic
400C3⋊#95C2311yescharacteristic
401C3⋊#95C2311yescharacteristic
402C3⋊#95C2311yescharacteristic
403C3⋊#95C2311yescharacteristic
404C3⋊#95C2311yescharacteristic
405C3⋊#95C2311yescharacteristic
406C3⋊#95C2311yescharacteristic
407C3⋊#95C2311yescharacteristic
408C3⋊#95C2311yescharacteristic
409C3⋊#95C2311yescharacteristic
410C3⋊#95C2311yescharacteristic
411C3⋊#95C2311yescharacteristic
412C3⋊#95C2311yescharacteristic
413C3⋊#95C2311yescharacteristic
414C3⋊#95C2311yescharacteristic
415C3⋊#95C2311yescharacteristic
416C3⋊#95C2311yescharacteristic
417C3⋊#95C2311yescharacteristic
418C3⋊#95C2311yescharacteristic
419C3⋊#95C2311yescharacteristic
420C22×#41—31no—
421C22×#41—31no—
422#538—68no—
423#532—68no—
424C2×C4⋊Q8—31no—
425C2×#127—31no—
426C2×#126—31no—
427C2×#126—31no—
428C2×#124—31no—
429C2×#124—31no—
430C2×#124—31no—
431C2×#124—31no—
432C2×#123—31no—
433C2×#123—31no—
434C2×#123—31no—
435C2×#123—31no—
436C2×C22⋊Q8—31no—
437C2×#121—31no—
438C2×#121—31no—
439C2×#121—31no—
440C2×#121—31no—
441C2×#121—31no—
442C2×#121—31no—
443C2×#121C2×D311yescharacteristic
444C2×#121C2×D311yescharacteristic
445C2×#120—31no—
446C2×#120—31no—
447C2×#120C2×D311yescharacteristic
448C2×#120C2×D311yescharacteristic
449C2×C4×D4—31no—
450C2×C4×D4—31no—
451C2×C4×D4—31no—
452C2×C4×D4—31no—
453C2×C4×D4—31no—
454C2×C4×D4—31no—
455C2×C4×D4—31no—
456C2×C4×D4C2×D311yescharacteristic
457C22×C4⋊C4—31no—
458C22×C22⋊C4—31no—
459C22×C22⋊C4—31no—
460C22×C22⋊C4C2×D311yescharacteristic
461C22×C42—31no—
462#400—31no—
463#400—31no—
464#399—31no—
465#399—31no—
466#398—31no—
467#398—31no—
468#397—31no—
469#397—31no—
470#397—31no—
471#397—31no—
472#397—31no—
473#397—31no—
474#396—31no—
475#396C2×D311yescharacteristic
476#394—31no—
477#394—31no—
478#394—31no—
479#394—31no—
480#394—31no—
481#394—31no—
482#394—31no—
483#394—31no—
484#394—31no—
485#394—31no—
486#394C2×D311yescharacteristic
487#394C2×D311yescharacteristic
488#393—31no—
489#393—31no—
490#393—31no—
491#393—31no—
492#393—31no—
493#393—31no—
494#392—31no—
495#392—31no—
496#392—31no—
497#392—31no—
498#392—31no—
499#392—31no—
500#392—31no—
501#392C2×D311yescharacteristic
502#391—31no—
503#391—31no—
504#391—31no—
505#391—31no—
506#391—31no—
507#391—31no—
508#390—31no—
509#390C2×D311yescharacteristic
510#389—31no—
511#389—31no—
512#388—31no—
513#388—31no—
514#388—31no—
515#388—31no—
516#388—31no—
517#388—31no—
518#388—31no—
519#388—31no—
520#388—31no—
521#388—31no—
522#388—31no—
523#388—31no—
524#388—31no—
525#388C2×D311yescharacteristic
526#387—31no—
527#387—31no—
528#387—31no—
529#387—31no—
530#387—31no—
531#387—31no—
532#387—31no—
533#387—31no—
534#386—31no—
535#386—31no—
536#386—31no—
537#386—31no—
538#386—31no—
539#386—31no—
540#386—31no—
541#386—31no—
542#386—31no—
543#386—31no—
544#386—31no—
545#386—31no—
546#386—31no—
547#386—31no—
548#386—31no—
549#386—31no—
550#386—31no—
551#386—31no—
552#386—31no—
553#386—31no—
554#386—31no—
555#386—31no—
556#386C2×D311yescharacteristic
557#386C2×D311yescharacteristic
558#385—31no—
559#385—31no—
560#385—31no—
561#385—31no—
562#385—31no—
563#385C2×D311yescharacteristic
564#381—31no—
565#381—31no—
566#381—31no—
567#381—31no—
568#380—31no—
569#380—31no—
570#380—31no—
571C4×C22⋊C4—31no—
572C4×C22⋊C4—31no—
573C2×#95—31no—
574C2×#95—31no—
575C2×#95—31no—
576C2×#95—31no—
577C24×C3—22no—
578C24×C3—22no—
579C24×C3—22no—
580C24×C3—41no—
581C24×C3—41no—
582C24×C3—41no—
583C24×C3—41no—
584C24×C3C2411yescharacteristic
585C24×C3C2411yescharacteristic
586C24×C3C2411yescharacteristic
587C24×C3C2411yescharacteristic
588C24×C3C2411yescharacteristic
589C23×D3C2411yescharacteristic
590C23×D3C2411yescharacteristic
591C2×C3×D4—22no—
592C2×C3×D4—22no—
593C2×C3×D4—22no—
594C2×C3×D4—22no—
595C2×C3×D4—22no—
596C2×C3×D4—22no—
597C2×C3×D4—22no—
598C2×C3×D4—22no—
599C2×C3×D4—22no—
600C2×C3×D4—41no—
601C2×C3×D4—41no—
602C2×C3×D4—41no—
603C2×C3×D4—41no—
604C2×C3×D4—41no—
605C2×C3×D4—41no—
606C2×C3×D4—41no—
607C2×C3×D4—41no—
608C2×C3×D4—41no—
609C2×C3×D4—41no—
610C2×C3×D4—41no—
611C2×C3×D4C2×D414yes—
612C22×C3×C4—22no—
613C22×C3×C4—22no—
614C22×C3×C4—22no—
615C22×C3×C4—41no—
616C22×C3×C4—41no—
617C22×C3×C4—41no—
618C22×C3×C4—41no—
619C22×C3×C4—41no—
620C22×C3×C4—41no—
621C22×C3×C4C2411yescharacteristic
622C22×C3×C4C2411yescharacteristic
623C22×C3×C4C2411yescharacteristic
624C22×C3×C4C2411yescharacteristic
625C22×C3×C4C2411yescharacteristic
626C22×C3×C4C2411yescharacteristic
627C22×C3×C4C2411yescharacteristic
628C22×C3×C4C2411yescharacteristic
629C22×C3×C4C2411yescharacteristic
630C22×C3×C4C2411yescharacteristic
631C2×#67—22no—
632C2×#67—22no—
633C2×#67—22no—
634C2×#67—22no—
635C2×#67—22no—
636C2×#67—22no—
637C2×#67—22no—
638C2×#67—22no—
639C2×#67—22no—
640C2×#67—22no—
641C2×#67—22no—
642C2×#67—22no—
643C2×#67—41no—
644C2×#67—41no—
645C2×#67—41no—
646C2×#67—41no—
647C2×#67—41no—
648C2×#67—41no—
649C2×#67—41no—
650C2×#67—41no—
651C2×#67—41no—
652C2×#67—41no—
653C2×#67—41no—
654C2×#67—41no—
655C2×#67—41no—
656C2×#67—41no—
657C2×#67—41no—
658C2×#67—41no—
659C2×#67C2×D414yes—
660C2×#67C2×D414yes—
661C22×Dic3—22no—
662C22×Dic3—22no—
663C22×Dic3—22no—
664C22×Dic3—22no—
665C22×Dic3—22no—
666C22×Dic3—22no—
667C22×Dic3—22no—
668C22×Dic3—22no—
669C22×Dic3—22no—
670C22×Dic3—41no—
671C22×Dic3—41no—
672C22×Dic3—41no—
673C22×Dic3—41no—
674C22×Dic3—41no—
675C22×Dic3—41no—
676C22×Dic3—41no—
677C22×Dic3—41no—
678C22×Dic3—41no—
679C22×Dic3—41no—
680C22×Dic3C2×D414yes—
681C22×Dic3#4114yes—
682C22×Dic3C2411yescharacteristic
683C22×Dic3C2411yescharacteristic
684C22×Dic3C2411yescharacteristic
685C22×Dic3C2411yescharacteristic
686C22×Dic3C2411yescharacteristic
687C22×Dic3C2411yescharacteristic
688C22×Dic3C2411yescharacteristic
689C22×Dic3C2411yescharacteristic
690C22×Dic3C2411yescharacteristic
691C22×Dic3C2411yescharacteristic
692C22×Dic3C2411yescharacteristic
693C22×Dic3C2411yescharacteristic
694C22×Dic3C2411yescharacteristic
695C22×Dic3C2411yescharacteristic
696#237—416no—
697#237—416no—
698C2×D12—22no—
699C2×D12—22no—
700C2×D12—41no—
701C2×C4×D3—22no—
702C2×C4×D3—22no—
703C2×C4×D3—22no—
704C2×C4×D3—22no—
705C2×C4×D3—22no—
706C2×C4×D3—41no—
707C2×C4×D3—41no—
708C2×C4×D3—41no—
709C2×C4×D3—41no—
710C2×C4×D3—41no—
711C2×C4×D3—41no—
712C2×C4×D3—41no—
713C2×Dic6—22no—
714C2×Dic6—22no—
715C2×Dic6—22no—
716C2×Dic6—22no—
717C2×Dic6—22no—
718C2×Dic6—41no—
719C2×Dic6—41no—
720C2×Dic6—41no—
721C2×Dic6—41no—
722C3×C4⋊C4—22no—
723C3×C4⋊C4—22no—
724C3×C4⋊C4—41no—
725C3×C4⋊C4—41no—
726C3×C22⋊C4—22no—
727C3×C22⋊C4—22no—
728C3×C22⋊C4—22no—
729C3×C22⋊C4—22no—
730C3×C22⋊C4—22no—
731C3×C22⋊C4—22no—
732C3×C22⋊C4—22no—
733C3×C22⋊C4—22no—
734C3×C22⋊C4—41no—
735C3×C22⋊C4—41no—
736C3×C22⋊C4—41no—
737C3×C22⋊C4—41no—
738C3×C22⋊C4—41no—
739C3×C22⋊C4—41no—
740C3×C22⋊C4—41no—
741C3×C42—41no—
742#217—22no—
743#217—22no—
744#217—22no—
745#217—22no—
746#217—22no—
747#217—22no—
748#217—22no—
749#217—22no—
750#217—22no—
751#217—22no—
752#217—22no—
753#217—22no—
754#217—22no—
755#217—22no—
756#217—41no—
757#217—41no—
758#217—41no—
759#217—41no—
760#217—41no—
761#217—41no—
762#217—41no—
763#217—41no—
764#217C2×D414yes—
765(C2×D3)⋊C4—22no—
766(C2×D3)⋊C4—22no—
767(C2×D3)⋊C4—22no—
768(C2×D3)⋊C4—22no—
769(C2×D3)⋊C4—41no—
770(C2×D3)⋊C4—41no—
771(C2×D3)⋊C4—41no—
772(C2×D3)⋊C4—41no—
773(C2×D3)⋊C4—41no—
774(C2×D3)⋊C4—41no—
775(C2×D3)⋊C4—41no—
776(C2×D3)⋊C4—41no—
777(C2×D3)⋊C4—41no—
778(C2×D3)⋊C4C2×D414yes—
779C4⋊Dic3—22no—
780C4⋊Dic3—22no—
781C4⋊Dic3—22no—
782Dic3⋊C4—22no—
783Dic3⋊C4—22no—
784Dic3⋊C4—22no—
785Dic3⋊C4—22no—
786Dic3⋊C4—22no—
787Dic3⋊C4—22no—
788Dic3⋊C4—22no—
789Dic3⋊C4—41no—
790Dic3⋊C4—41no—
791Dic3⋊C4—41no—
792Dic3⋊C4—41no—
793Dic3⋊C4—41no—
794Dic3⋊C4—41no—
795Dic3⋊C4C2×D414yes—
796C4×Dic3—22no—
797C4×Dic3—22no—
798C4×Dic3—22no—
799C4×Dic3—22no—
800C4×Dic3—22no—
801C4×Dic3—22no—
802C4×Dic3—41no—
803C25C22×D311yescharacteristic
804C2×#41—64no—
805C2×#41—64no—
806C2×#41—64no—
807C2×#41—64no—
808C2×#41—122no—
809C2×#41—122no—
810C22×Q8—31no—
811C22×Q8—31no—
812C22×Q8—31no—
813C22×D4—31no—
814C22×D4—31no—
815C22×D4—31no—
816C22×D4—31no—
817C22×D4—31no—
818C22×D4—31no—
819C22×D4—31no—
820C22×D4—31no—
821C22×D4—31no—
822C22×D4—31no—
823C22×D4—31no—
824C22×D4C22×D311yescharacteristic
825C22×D4C22×D311yescharacteristic
826C22×D4C22×D311yescharacteristic
827C22×D4C22×D311yescharacteristic
828C22×D4C22×D311yescharacteristic
829C22×D4C22×D311yescharacteristic
830C22×D4C22×D311yescharacteristic
831C23×C4—31no—
832C23×C4—31no—
833C23×C4—31no—
834C23×C4—31no—
835C23×C4—31no—
836C23×C4—31no—
837C23×C4—31no—
838C23×C4—31no—
839C23×C4—31no—
840C23×C4—31no—
841C23×C4—31no—
842C23×C4C22×D311yescharacteristic
843C23×C4C22×D311yescharacteristic
844C23×C4C22×D311yescharacteristic
845C4⋊Q8—64no—
846#127—64no—
847#126—64no—
848#126—64no—
849#124—64no—
850#124—64no—
851#124—64no—
852#124—64no—
853#123—64no—
854#123—64no—
855#123—122no—
856#123—122no—
857C22⋊Q8—64no—
858#121—24no—
859#121—38no—
860#121—42no—
861#121—64no—
862#121—64no—
863#121—64no—
864#121—64no—
865#121—122no—
866#120—24no—
867#120—42no—
868#120—64no—
869#120—122no—
870C4×D4—42no—
871C4×D4—64no—
872C4×D4—64no—
873C4×D4—64no—
874C4×D4—64no—
875C4×D4—64no—
876C4×D4—64no—
877C4×D4—122no—
878C2×C4⋊C4—31no—
879C2×C4⋊C4—31no—
880C2×C4⋊C4—31no—
881C2×C4⋊C4—31no—
882C2×C4⋊C4—31no—
883C2×C4⋊C4—31no—
884C2×C4⋊C4—31no—
885C2×C4⋊C4—31no—
886C2×C4⋊C4—31no—
887C2×C4⋊C4—31no—
888C2×C4⋊C4—31no—
889C2×C4⋊C4—31no—
890C2×C4⋊C4—31no—
891C2×C4⋊C4—31no—
892C2×C4⋊C4—31no—
893C2×C4⋊C4—31no—
894C2×C4⋊C4—31no—
895C2×C4⋊C4—122no—
896C2×C4⋊C4C22×D311yescharacteristic
897C2×C4⋊C4C22×D311yescharacteristic
898C2×C4⋊C4C22×D311yescharacteristic
899C2×C4⋊C4C22×D311yescharacteristic
900C2×C22⋊C4—31no—
901C2×C22⋊C4—31no—
902C2×C22⋊C4—31no—
903C2×C22⋊C4—31no—
904C2×C22⋊C4—31no—
905C2×C22⋊C4—31no—
906C2×C22⋊C4—31no—
907C2×C22⋊C4—31no—
908C2×C22⋊C4—31no—
909C2×C22⋊C4—31no—
910C2×C22⋊C4—31no—
911C2×C22⋊C4—31no—
912C2×C22⋊C4—31no—
913C2×C22⋊C4—31no—
914C2×C22⋊C4—31no—
915C2×C22⋊C4—31no—
916C2×C22⋊C4—31no—
917C2×C22⋊C4—31no—
918C2×C22⋊C4—31no—
919C2×C22⋊C4—31no—
920C2×C22⋊C4—31no—
921C2×C22⋊C4—31no—
922C2×C22⋊C4—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—42no—
938C2×C22⋊C4—64no—
939C2×C22⋊C4—64no—
940C2×C22⋊C4C22×D311yescharacteristic
941C2×C22⋊C4C22×D311yescharacteristic
942C2×C22⋊C4C22×D311yescharacteristic
943C2×C22⋊C4C22×D311yescharacteristic
944C2×C22⋊C4C22×D311yescharacteristic
945C2×C22⋊C4C22×D311yescharacteristic
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×C42—31no—
956C2×C42—31no—
957C2×C42—31no—
958C2×C42—31no—
959C2×C42—31no—
960C2×C42—31no—
961C2×C42—31no—
962C2×C42—64no—
963C2×C42C22×D311yescharacteristic
964#95—31no—
965#95—31no—
966#95—31no—
967#95—31no—
968#95—31no—
969#95—31no—
970#95—31no—
971#95—31no—
972#95—31no—
973#95—31no—
974#95—31no—
975#95—31no—
976#95—31no—
977#95—31no—
978#95—31no—
979#95—31no—
980#95—31no—
981#95—31no—
982#95—31no—
983#95—31no—
984#95—31no—
985#95—31no—
986#95—31no—
987#95—31no—
988#95—31no—
989#95—31no—
990#95—31no—
991#95—31no—
992#95—31no—
993#95—31no—
994#95—31no—
995#95—31no—
996#95—31no—
997#95—31no—
998#95C22×D311yescharacteristic
999#95C22×D311yescharacteristic
1000#95C22×D311yescharacteristic
1001#95C22×D311yescharacteristic
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×C3—21no—
1021C23×C3—21no—
1022C23×C3—21no—
1023C23×C3—21no—
1024C23×C3—21no—
1025C23×C3—21no—
1026C23×C3—21no—
1027C23×C3—21no—
1028C23×C3—21no—
1029C23×C3—21no—
1030C23×C3—21no—
1031C23×C3—21no—
1032C23×C3—21no—
1033C23×C3—44no—
1034C23×C3—44no—
1035C23×C3—44no—
1036C23×C3—82no—
1037C23×C3—82no—
1038C23×C3—82no—
1039C23×C3—82no—
1040C23×C3C22×D412yes—
1041C23×C3C22×D412yes—
1042C23×C3C2×#4112yes—
1043C23×C3H(5,𝔽2)12yes—
1044C23×C3C2511yescharacteristic
1045C22×D3—21no—
1046C22×D3—21no—
1047C22×D3—21no—
1048C22×D3—21no—
1049C22×D3—21no—
1050C22×D3—21no—
1051C22×D3—21no—
1052C22×D3—21no—
1053C22×D3—21no—
1054C22×D3—21no—
1055C22×D3—21no—
1056C22×D3—21no—
1057C22×D3—21no—
1058C22×D3C22×D412yes—
1059C3×D4—28no—
1060C3×D4—44no—
1061C3×D4—44no—
1062C3×D4—82no—
1063C3×D4—82no—
1064C3×D4—82no—
1065C3×D4—82no—
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—21no—
1094C2×C3×C4—44no—
1095C2×C3×C4—82no—
1096C2×C3×C4—82no—
1097C2×C3×C4C22×D412yes—
1098C2×C3×C4H(5,𝔽2)12yes—
1099#67—28no—
1100#67—44no—
1101#67—44no—
1102#67—44no—
1103#67—44no—
1104#67—44no—
1105#67—82no—
1106#67—82no—
1107#67—82no—
1108#67—82no—
1109C2×Dic3—28no—
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—21no—
1140C2×Dic3—21no—
1141C2×Dic3—21no—
1142C2×Dic3—21no—
1143C2×Dic3—21no—
1144C2×Dic3—21no—
1145C2×Dic3—21no—
1146C2×Dic3—21no—
1147C2×Dic3—44no—
1148C2×Dic3—44no—
1149C2×Dic3—44no—
1150C2×Dic3—44no—
1151C2×Dic3—82no—
1152C2×Dic3—82no—
1153C2×Dic3C22×D412yes—
1154C2×Dic3C22×D412yes—
1155C2×Dic3C22×D412yes—
1156C2×Dic3C2×#4112yes—
1157C2×Dic3C2×#4112yes—
1158D12—44no—
1159C4×D3—44no—
1160C4×D3—44no—
1161C4×D3—82no—
1162C4×D3—82no—
1163Dic6—44no—
1164Dic6—44no—
1165Dic6—82no—
1166C24—22no—
1167C24—22no—
1168C24—22no—
1169C24—31no—
1170C24—31no—
1171C24—41no—
1172C24—41no—
1173C24—41no—
1174C24—41no—
1175C24C23×D311yescharacteristic
1176C24C23×D311yescharacteristic
1177C24C23×D311yescharacteristic
1178C24C23×D311yescharacteristic
1179C24C23×D311yescharacteristic
1180#41—1216no—
1181#41—1216no—
1182C2×Q8—62no—
1183C2×Q8—62no—
1184C2×Q8—62no—
1185C2×Q8—62no—
1186C2×Q8—62no—
1187C2×Q8—121no—
1188C2×Q8—121no—
1189C2×Q8—121no—
1190C2×Q8—121no—
1191C2×D4—22no—
1192C2×D4—22no—
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—22no—
1197C2×D4—22no—
1198C2×D4—22no—
1199C2×D4—22no—
1200C2×D4—34no—
1201C2×D4—34no—
1202C2×D4—41no—
1203C2×D4—41no—
1204C2×D4—41no—
1205C2×D4—41no—
1206C2×D4—41no—
1207C2×D4—41no—
1208C2×D4—41no—
1209C2×D4—41no—
1210C2×D4—41no—
1211C2×D4—41no—
1212C2×D4—41no—
1213C2×D4—62no—
1214C2×D4—62no—
1215C2×D4—62no—
1216C2×D4—62no—
1217C2×D4—62no—
1218C2×D4—62no—
1219C2×D4—62no—
1220C2×D4—62no—
1221C2×D4—62no—
1222C2×D4—62no—
1223C2×D4—62no—
1224C2×D4—62no—
1225C2×D4—62no—
1226C2×D4—62no—
1227C2×D4—121no—
1228C2×D4—121no—
1229C2×D4—121no—
1230C2×D4—121no—
1231C2×D4—121no—
1232C2×D4—121no—
1233C2×D4—121no—
1234C2×D4—121no—
1235C2×D4—121no—
1236C2×D4—121no—
1237C2×D4—121no—
1238C2×D4—121no—
1239C2×D4—121no—
1240C2×D4—121no—
1241C2×D4—121no—
1242C2×D4—121no—
1243C2×D4—121no—
1244C2×D4D3×D414yes—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—34no—
1249C22×C4—31no—
1250C22×C4—31no—
1251C22×C4—31no—
1252C22×C4—31no—
1253C22×C4—31no—
1254C22×C4—34no—
1255C22×C4—31no—
1256C22×C4—31no—
1257C22×C4—31no—
1258C22×C4—31no—
1259C22×C4—31no—
1260C22×C4—31no—
1261C22×C4—31no—
1262C22×C4—31no—
1263C22×C4—31no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—41no—
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—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×C4C23×D311yescharacteristic
1302C22×C4C23×D311yescharacteristic
1303C22×C4C23×D311yescharacteristic
1304C22×C4C23×D311yescharacteristic
1305C22×C4C23×D311yescharacteristic
1306C22×C4C23×D311yescharacteristic
1307C22×C4C23×D311yescharacteristic
1308C22×C4C23×D311yescharacteristic
1309C22×C4C23×D311yescharacteristic
1310C22×C4C23×D311yescharacteristic
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—34no—
1314C4⋊C4—41no—
1315C4⋊C4—41no—
1316C4⋊C4—62no—
1317C4⋊C4—62no—
1318C4⋊C4—62no—
1319C4⋊C4—62no—
1320C4⋊C4—62no—
1321C4⋊C4—62no—
1322C4⋊C4—62no—
1323C4⋊C4—62no—
1324C4⋊C4—62no—
1325C4⋊C4—62no—
1326C4⋊C4—121no—
1327C4⋊C4—121no—
1328C4⋊C4—121no—
1329C4⋊C4—121no—
1330C4⋊C4—121no—
1331C4⋊C4—121no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—34no—
1341C22⋊C4—34no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
1347C22⋊C4—41no—
1348C22⋊C4—41no—
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—62no—
1364C22⋊C4—62no—
1365C22⋊C4—62no—
1366C22⋊C4—62no—
1367C22⋊C4—121no—
1368C22⋊C4—121no—
1369C22⋊C4—121no—
1370C22⋊C4—121no—
1371C22⋊C4—121no—
1372C22⋊C4—121no—
1373C22⋊C4—121no—
1374C22⋊C4—121no—
1375C22⋊C4—121no—
1376C22⋊C4—121no—
1377C22⋊C4—121no—
1378C22⋊C4—121no—
1379C22⋊C4—121no—
1380C22⋊C4—121no—
1381C22⋊C4—121no—
1382C22⋊C4—121no—
1383C22⋊C4—121no—
1384C42—41no—
1385C42—62no—
1386C42—62no—
1387C42—62no—
1388C42—62no—
1389C42—62no—
1390C42—62no—
1391C42—121no—
1392C22×C3—22no—
1393C22×C3—22no—
1394C22×C3—22no—
1395C22×C3—22no—
1396C22×C3—22no—
1397C22×C3—22no—
1398C22×C3—22no—
1399C22×C3—22no—
1400C22×C3—22no—
1401C22×C3—41no—
1402C22×C3—41no—
1403C22×C3—41no—
1404C22×C3—41no—
1405C22×C3—41no—
1406C22×C3—41no—
1407C22×C3—41no—
1408C22×C3—41no—
1409C22×C3—41no—
1410C22×C3—41no—
1411C22×C3—41no—
1412C22×C3—41no—
1413C22×C3—41no—
1414C22×C3—41no—
1415C22×C3—41no—
1416C22×C3—41no—
1417C22×C3—41no—
1418C22×C3—41no—
1419C22×C3—41no—
1420C22×C3—41no—
1421C22×C3—41no—
1422C22×C3—41no—
1423C22×C3—41no—
1424C22×C3—41no—
1425C22×C3—41no—
1426C22×C3—88no—
1427C22×C3#54614yes—
1428C22×C3C23×D411yescharacteristic
1429C22×C3C22×#4111yescharacteristic
1430C22×C3C2×H(5,𝔽2)11yescharacteristic
1431C22×C3C2×H(5,𝔽2)11yescharacteristic
1432C22×C3#58511yescharacteristic
1433C22×C3#58511yescharacteristic
1434C22×C3#58511yescharacteristic
1435C2×D3—22no—
1436C2×D3—22no—
1437C2×D3—22no—
1438C2×D3—41no—
1439C2×D3—41no—
1440C2×D3—41no—
1441C2×D3—41no—
1442C2×D3—41no—
1443C2×D3—41no—
1444C2×D3—41no—
1445C2×D3—41no—
1446C2×D3—41no—
1447C2×D3—41no—
1448C2×D3—41no—
1449C3×C4—22no—
1450C3×C4—22no—
1451C3×C4—41no—
1452C3×C4—41no—
1453C3×C4—41no—
1454C3×C4—41no—
1455C3×C4—41no—
1456C3×C4—41no—
1457C3×C4—41no—
1458C3×C4—41no—
1459Dic3—22no—
1460Dic3—22no—
1461Dic3—22no—
1462Dic3—22no—
1463Dic3—22no—
1464Dic3—41no—
1465Dic3—41no—
1466Dic3—41no—
1467Dic3—41no—
1468Dic3—41no—
1469Dic3—41no—
1470Dic3—41no—
1471Dic3—41no—
1472Dic3—41no—
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—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—32no—
1505C23—44no—
1506C23—44no—
1507C23—44no—
1508C23—61no—
1509C23—61no—
1510C23—61no—
1511C23—61no—
1512C23—61no—
1513C23—61no—
1514C23—61no—
1515C23—61no—
1516C23—61no—
1517C23—61no—
1518C23—61no—
1519C23—61no—
1520C23—61no—
1521C23—82no—
1522C23—82no—
1523C23—82no—
1524C23—82no—
1525C23C2×D3×D412yes—
1526C23C2×D3×D412yes—
1527C23#100412yes—
1528C23D3×#4112yes—
1529C23C24×D311yescharacteristic
1530Q8—124no—
1531Q8—124no—
1532Q8—242no—
1533D4—28no—
1534D4—44no—
1535D4—44no—
1536D4—68no—
1537D4—82no—
1538D4—82no—
1539D4—82no—
1540D4—82no—
1541D4—124no—
1542D4—124no—
1543D4—124no—
1544D4—124no—
1545D4—124no—
1546D4—124no—
1547D4—242no—
1548D4—242no—
1549D4—242no—
1550D4—242no—
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—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—32no—
1580C2×C4—32no—
1581C2×C4—32no—
1582C2×C4—32no—
1583C2×C4—32no—
1584C2×C4—44no—
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—68no—
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—61no—
1612C2×C4—61no—
1613C2×C4—61no—
1614C2×C4—61no—
1615C2×C4—61no—
1616C2×C4—61no—
1617C2×C4—61no—
1618C2×C4—61no—
1619C2×C4—61no—
1620C2×C4—61no—
1621C2×C4—61no—
1622C2×C4—61no—
1623C2×C4—82no—
1624C2×C4—82no—
1625C2×C4—124no—
1626C2×C4—124no—
1627C2×C4—124no—
1628C2×C4—124no—
1629C2×C4—124no—
1630C2×C4—124no—
1631C2×C4—242no—
1632C2×C4—242no—
1633C2×C4—242no—
1634C2×C4—242no—
1635C2×C4C2×D3×D412yes—
1636C2×C4#100412yes—
1637C2×C3—24no—
1638C2×C3—42no—
1639C2×C3—81no—
1640C2×C3—81no—
1641C2×C3—81no—
1642C2×C3#345511yescharacteristic
1643C2×C3C2×#54611yescharacteristic
1644C2×C3#348511yescharacteristic
1645C2×C3#348811yescharacteristic
1646C2×C3#350611yescharacteristic
1647C2×C3#355811yescharacteristic
1648C2×C3#356011yescharacteristic
1649D3—42no—
1650D3—81no—
1651C22—22no—
1652C22—22no—
1653C22—22no—
1654C22—22no—
1655C22—22no—
1656C22—22no—
1657C22—22no—
1658C22—22no—
1659C22—22no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—62no—
1686C22—62no—
1687C22—62no—
1688C22—88no—
1689C22—121no—
1690C22—121no—
1691C22—121no—
1692C22—121no—
1693C22—121no—
1694C22—121no—
1695C22—121no—
1696C22—121no—
1697C22—121no—
1698C22—121no—
1699C22—121no—
1700C22#561014yes—
1701C22C22×D3×D411yescharacteristic
1702C22C2×#100411yescharacteristic
1703C22C2×#100411yescharacteristic
1704C22C2×D3×#4111yescharacteristic
1705C22#596411yescharacteristic
1706C22#596611yescharacteristic
1707C22#596611yescharacteristic
1708C4—22no—
1709C4—22no—
1710C4—41no—
1711C4—41no—
1712C4—41no—
1713C4—41no—
1714C4—41no—
1715C4—41no—
1716C4—41no—
1717C4—41no—
1718C4—62no—
1719C4—62no—
1720C4—62no—
1721C4—62no—
1722C4—62no—
1723C4—121no—
1724C4—121no—
1725C4—121no—
1726C4—121no—
1727C4—121no—
1728C4—121no—
1729C4—121no—
1730C4—121no—
1731C4—121no—
1732C3#3769711yescharacteristic, complemented, Sylow
1733C2—24no—
1734C2—42no—
1735C2—81no—
1736C2—81no—
1737C2—81no—
1738C2—122no—
1739C2—241no—
1740C2C2×#561011yescharacteristic
1741C2#8602911yescharacteristic
1742C2#8638711yescharacteristic
1743C2#8660711yescharacteristic
1744C2#8661811yescharacteristic
1745C2#8665711yescharacteristic
1746C2#8666311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2424C2
hypercenter#2424D3
hypocenterC3#37697
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2424

Complements

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

NH ≅ G/Ntype
1. C2×#5596C2semidirect
2. C2×#5593C2semidirect
3. C3×#2424C2semidirect
4. #82717C2semidirect
5. #82655C2semidirect
6. #82645C2semidirect
7. #82592C2semidirect
8. #82581C2semidirect
9. #82581C2semidirect
10. #82330C2semidirect
11. #82327C2semidirect
12. #82109C2semidirect
13. C2×#4945C2semidirect
14. #77417C2semidirect
15. #77362C2semidirect
16. #77118C2semidirect
17. #77035C2semidirect
18. #77030C2semidirect
19. #76921C2semidirect
20. #76711C2semidirect
21. #76679C2semidirect
22. #76470C2semidirect
23. #76328C2semidirect
24. #75694C2semidirect
25. #75508C2semidirect
26. #74822C2semidirect
27. #74785C2semidirect
28. #74707C2semidirect
29. #74672C2semidirect
30. #74589C2semidirect
31. #74418C2semidirect
45. C2×#940C22semidirect
52. C2×#935C22semidirect
54. C2×D4×Dic3C22semidirect
61. C2×#894C22semidirect
62. C2×#893C22semidirect
63. C2×#888C22semidirect
65. C2×#885C22semidirect
66. C2×#885C22semidirect
70. C2×#67⋊C4C22semidirect
71. C2×#67⋊C4C22semidirect
92. #5222C22semidirect
101. #5213C22semidirect
102. #5213C22semidirect
104. #5210C22semidirect
107. C2×C3⋊#95C22semidirect
108. #4993C22semidirect
109. #4989C22semidirect
110. #4989C22semidirect
111. #4987C22semidirect
112. #4982C22semidirect
113. #4981C22semidirect
114. #4980C22semidirect
115. #4980C22semidirect
116. #4978C22semidirect
117. #4978C22semidirect
118. #4976C22semidirect
119. #4976C22semidirect
120. #4973C22semidirect
121. #4961C22semidirect
127. #4959C22semidirect
131. #4958C22semidirect
138. #4956C22semidirect
139. #4956C22semidirect
140. #4956C22semidirect
143. #4952C22semidirect
144. #4952C22semidirect
146. #4949C22semidirect
152. #4947C22semidirect
153. #4946C22semidirect
162. #4944C22semidirect
163. #4944C22semidirect
166. #4943C22semidirect
168. #4942C22semidirect
169. Dic3×C22⋊C4C22semidirect
170. #4940C22semidirect
171. C4×(C2×D3)⋊C4C22semidirect
172. #4933C22semidirect
173. #4929C22semidirect
174. #4675C22semidirect
175. #4675C22semidirect
176. #4673C22semidirect
177. #4672C22semidirect
178. #4669C22semidirect
179. #4664C22semidirect
180. D3×#95C22semidirect
181. #4660C22semidirect
182. #4658C22semidirect
183. #4655C22semidirect
184. #4652C22semidirect
185. #4652C22semidirect
186. #4646C22semidirect
187. #4646C22semidirect
188. #4646C22semidirect
189. #4646C22semidirect
214. #2424D3semidirect
319. #939D4semidirect
1732. C3#37697semidirect

Maximal subgroups

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

subgroupindex
C2×#55962
C2×#55932
C3×#24242
#827172
#826552
#826452
#825922
#825812
#823302
#823272
#821092
C2×#49452
#774172
#773622
#771182
#770352
#770302
#769212
#767112
#766792
#764702
#763282
#756942
#755082
#748222
#747852
#747072
#746722
#745892
#744182
#376973