Finite Group Databasebeta

← #11633527

Subgroups — #11633527

Order 768.

2654 conjugacy classes of subgroups.

The subgroup lattice has 1702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5708C211yesmaximal, characteristic, complemented
2C2×#5656C211yesmaximal, characteristic, complemented
3C3×#2705C211yesmaximal, characteristic, complemented
4#83106C211yesmaximal, characteristic, complemented
5#82876C211yesmaximal, characteristic, complemented
6#78030C211yesmaximal, characteristic, complemented
7#78023C211yesmaximal, characteristic, complemented
8#77417C211yesmaximal, characteristic, complemented
9#77414C211yesmaximal, characteristic, complemented
10#77314C211yesmaximal, characteristic, complemented
11#77289C211yesmaximal, characteristic, complemented
12#77115C211yesmaximal, characteristic, complemented
13#76921C211yesmaximal, characteristic, complemented
14#76898C211yesmaximal, characteristic, complemented
15#76896C211yesmaximal, characteristic, complemented
16#76758C211yesmaximal, characteristic, complemented
17#76668C211yesmaximal, characteristic, complemented
18#76454C211yesmaximal, characteristic, complemented
19#76437C211yesmaximal, characteristic, complemented
20#76302C211yesmaximal, characteristic, complemented
21#76301C211yesmaximal, characteristic, complemented
22#76016C211yesmaximal, characteristic, complemented
23#75983C211yesmaximal, characteristic, complemented
24#75838C211yesmaximal, characteristic, complemented
25#75545C211yesmaximal, characteristic, complemented
26#75307C211yesmaximal, characteristic, complemented
27#74982C211yesmaximal, characteristic, complemented
28#74816C211yesmaximal, characteristic, complemented
29#74659C211yesmaximal, characteristic, complemented
30D3×#380C211yesmaximal, characteristic, complemented
31#73962C211yesmaximal, characteristic, complemented
32#59022—31nomaximal, Sylow
33C22×#237C2211yescharacteristic
34C23×C4×D3C2211yescharacteristic
35C2×C3×#126C2211yescharacteristic, complemented
36C2×C3×#123C2211yescharacteristic
37C2×#939C2211yescharacteristic, complemented
38C2×#938C2211yescharacteristic
39C2×#937C2211yescharacteristic
40C2×#937C2211yescharacteristic
41C2×D4×Dic3C2211yescharacteristic
42C2×#929C2211yescharacteristic
43#5708—28no—
44#5656—28no—
45C2×#896C2211yescharacteristic
46C2×#896C2211yescharacteristic
47C2×#894C2211yescharacteristic
48C2×#894C2211yescharacteristic
49C2×#893C2211yescharacteristic
50C2×#893C2211yescharacteristic
51C2×#892C2211yescharacteristic
52C2×D3×C4⋊C4C2211yescharacteristic
53C2×D3×C4⋊C4C2211yescharacteristic
54C2×#890C2211yescharacteristic, complemented
55C2×#889C2211yescharacteristic, complemented
56C2×#889C2211yescharacteristic, complemented
57C2×#887C2211yescharacteristic, complemented
58C2×#884C2211yescharacteristic
59C2×#884C2211yescharacteristic
60C2×#884C2211yescharacteristic
61C2×#883C2211yescharacteristic
62C2×#883C2211yescharacteristic
63C2×#883C2211yescharacteristic
64C2×#883C2211yescharacteristic
65C2×#882C2211yescharacteristic
66C2×#67⋊C4C2211yescharacteristic
67C2×#67⋊C4C2211yescharacteristic
68C2×#67⋊C4C2211yescharacteristic
69C2×#67⋊C4C2211yescharacteristic
70C2×D3×C22⋊C4C2211yescharacteristic
71C2×D3×C22⋊C4C2211yescharacteristic
72C2×#879C2211yescharacteristic, complemented
73C2×#878C2211yescharacteristic, complemented
74C2×#877C2211yescharacteristic
75C2×#877C2211yescharacteristic, complemented
76C2×#872C2211yescharacteristic
77C2×C4×Dic6C2211yescharacteristic, complemented
78C3×#399C2211yescharacteristic, complemented
79C3×#396C2211yescharacteristic
80C3×#396C2211yescharacteristic, complemented
81C3×#394C2211yescharacteristic, complemented
82C3×#394C2211yescharacteristic, complemented
83C3×#392C2211yescharacteristic
84C3×#390C2211yescharacteristic
85C3×#390C2211yescharacteristic
86C3×#389C2211yescharacteristic, complemented
87C3×#388C2211yescharacteristic, complemented
88C3×#387C2211yescharacteristic, complemented
89C3×#386C2211yescharacteristic
90C3×#380C2211yescharacteristic
91#5223C2211yescharacteristic
92#5223C2211yescharacteristic
93#5222C2211yescharacteristic
94#5221C2211yescharacteristic
95#5221C2211yescharacteristic
96#5220C2211yescharacteristic, complemented
97#5212C2211yescharacteristic
98#5210C2211yescharacteristic
99#4994C2211yescharacteristic
100#4994C2211yescharacteristic
101#4994C2211yescharacteristic, complemented
102#4993C2211yescharacteristic
103#4993C2211yescharacteristic, complemented
104#4991C2211yescharacteristic
105#4989C2211yescharacteristic
106#4989C2211yescharacteristic
107#4988C2211yescharacteristic
108#4987C2211yescharacteristic
109#4987C2211yescharacteristic
110#4987C2211yescharacteristic, complemented
111#4984C2211yescharacteristic, complemented
112#4981C2211yescharacteristic, complemented
113#4980C2211yescharacteristic, complemented
114#4978C2211yescharacteristic, complemented
115#4978C2211yescharacteristic, complemented
116#4976C2211yescharacteristic, complemented
117#4976C2211yescharacteristic, complemented
118#4976C2211yescharacteristic, complemented
119#4975C2211yescharacteristic, complemented
120#4975C2211yescharacteristic, complemented
121Dic3×C4⋊C4C2211yescharacteristic, complemented
122#4961C2211yescharacteristic
123#4961C2211yescharacteristic, complemented
124#4960C2211yescharacteristic
125#4959C2211yescharacteristic
126#4959C2211yescharacteristic, complemented
127#4957C2211yescharacteristic
128#4957C2211yescharacteristic
129#4957C2211yescharacteristic
130#4957C2211yescharacteristic
131#4957C2211yescharacteristic
132#4957C2211yescharacteristic
133#4957C2211yescharacteristic, complemented
134#4957C2211yescharacteristic, complemented
135#4957C2211yescharacteristic, complemented
136#4956C2211yescharacteristic
137#4956C2211yescharacteristic
138#4956C2211yescharacteristic
139#4956C2211yescharacteristic, complemented
140#4955C2211yescharacteristic
141#4953C2211yescharacteristic, complemented
142#4950C2211yescharacteristic, complemented
143#4949C2211yescharacteristic
144#4949C2211yescharacteristic
145#4949C2211yescharacteristic, complemented
146#4948C2211yescharacteristic
147#4948C2211yescharacteristic, complemented
148#4948C2211yescharacteristic, complemented
149#4945C2211yescharacteristic
150#4945C2211yescharacteristic, complemented
151#4944C2211yescharacteristic
152#4944C2211yescharacteristic, complemented
153#4944C2211yescharacteristic, complemented
154#4942C2211yescharacteristic
155#4942C2211yescharacteristic
156#4942C2211yescharacteristic, complemented
157#4942C2211yescharacteristic, complemented
158Dic3×C22⋊C4C2211yescharacteristic
159Dic3×C22⋊C4C2211yescharacteristic, complemented
160#4940C2211yescharacteristic
161#4939C2211yescharacteristic
162C4×(C2×D3)⋊C4C2211yescharacteristic
163C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
164C4×C4⋊Dic3C2211yescharacteristic, complemented
165C4×Dic3⋊C4C2211yescharacteristic, complemented
166#4677C2211yescharacteristic
167#4677C2211yescharacteristic, complemented
168#4675C2211yescharacteristic, complemented
169#4669C2211yescharacteristic
170#4669C2211yescharacteristic, complemented
171#4669C2211yescharacteristic, complemented
172#4668C2211yescharacteristic
173#4668C2211yescharacteristic
174#4668C2211yescharacteristic, complemented
175#4667C2211yescharacteristic
176#4667C2211yescharacteristic
177#4666C2211yescharacteristic
178#4666C2211yescharacteristic
179#4666C2211yescharacteristic
180#4665C2211yescharacteristic
181D3×#95C2211yescharacteristic
182D3×#95C2211yescharacteristic
183#4657C2211yescharacteristic, complemented
184#4654C2211yescharacteristic, complemented
185#4652C2211yescharacteristic, complemented
186#4647C2211yescharacteristic, complemented
187#4647C2211yescharacteristic, complemented
188#4647C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#552—31no—
191C2×#525—31no—
192#2705—31no—
193#2705D311yescharacteristic, complemented
194#2694—31no—
195#2694—31no—
196#2539—31no—
197#2539—31no—
198#2538—31no—
199#2501—31no—
200#2490—31no—
201#2467—31no—
202#2467—31no—
203#2454—31no—
204#2454—31no—
205#2441—31no—
206#2425—31no—
207#2425—31no—
208#2423—31no—
209#2416—31no—
210#2414—31no—
211#2411—31no—
212#2411—31no—
213#2407—31no—
214#2360—31no—
215#2359—31no—
216#2359—31no—
217#2354—31no—
218#2341—31no—
219C4×#120—31no—
220C2×#380—31no—
221C24×D3C2311yescharacteristic
222C22×C3×D4C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C22×#67C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C23×Dic3C2311yescharacteristic
234C23×Dic3C2311yescharacteristic
235C23×Dic3C2311yescharacteristic
236C2×#237—24no—
237C2×#237—24no—
238C2×#237—42no—
239C22×D12C2311yescharacteristic
240C22×D12C2311yescharacteristic
241C22×C4×D3—24no—
242C22×C4×D3—24no—
243C22×C4×D3—42no—
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×C4×D3C2311yescharacteristic
253C22×Dic6C2311yescharacteristic
254C3×#126—24no—
255C3×#123—24no—
256C2×C3×C4⋊C4C2311yescharacteristic
257C2×C3×C4⋊C4C2311yescharacteristic
258C2×C3×C4⋊C4C2311yescharacteristic
259C2×C3×C4⋊C4C2311yescharacteristic
260C2×C3×C4⋊C4C2311yescharacteristic
261C2×C3×C4⋊C4C2311yescharacteristic
262C2×C3×C4⋊C4C2311yescharacteristic
263C2×C3×C4⋊C4C2311yescharacteristic
264C2×C3×C4⋊C4C2311yescharacteristic
265C2×C3×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×C22⋊C4C2311yescharacteristic
277C2×C3×C22⋊C4C2311yescharacteristic
278C2×C3×C22⋊C4C2311yescharacteristic
279C2×C3×C42C2311yescharacteristic
280C2×C3×C42C2311yescharacteristic
281C2×#217C2311yescharacteristic
282C2×#217C2311yescharacteristic
283C2×#217C2311yescharacteristic
284C2×#217C2311yescharacteristic
285C2×#217C2311yescharacteristic
286C2×#217C2311yescharacteristic
287C2×#217C2311yescharacteristic
288C2×#217C2311yescharacteristic
289C2×#217C2311yescharacteristic
290C2×#217C2311yescharacteristic
291C2×#217C2311yescharacteristic
292C2×#217C2311yescharacteristic
293C2×#217C2311yescharacteristic
294#939—42no—
295#938—42no—
296#937—24no—
297#937—24no—
298D4×Dic3—24no—
299#929—24no—
300C2×(C2×D3)⋊C4C2311yescharacteristic
301C2×(C2×D3)⋊C4C2311yescharacteristic
302C2×(C2×D3)⋊C4C2311yescharacteristic
303C2×(C2×D3)⋊C4C2311yescharacteristic
304C2×(C2×D3)⋊C4C2311yescharacteristic
305C2×(C2×D3)⋊C4C2311yescharacteristic
306C2×(C2×D3)⋊C4C2311yescharacteristic
307C2×(C2×D3)⋊C4C2311yescharacteristic
308C2×(C2×D3)⋊C4C2311yescharacteristic
309C2×(C2×D3)⋊C4C2311yescharacteristic
310C2×(C2×D3)⋊C4C2311yescharacteristic
311C2×(C2×D3)⋊C4C2311yescharacteristic
312C2×(C2×D3)⋊C4C2311yescharacteristic
313C2×(C2×D3)⋊C4C2311yescharacteristic
314C2×(C2×D3)⋊C4C2311yescharacteristic
315C2×(C2×D3)⋊C4C2311yescharacteristic
316C2×(C2×D3)⋊C4C2311yescharacteristic
317C2×(C2×D3)⋊C4C2311yescharacteristic
318C2×(C2×D3)⋊C4C2311yescharacteristic
319C2×(C2×D3)⋊C4C2311yescharacteristic
320C2×(C2×D3)⋊C4C2311yescharacteristic
321C2×(C2×D3)⋊C4C2311yescharacteristic
322C2×(C2×D3)⋊C4C2311yescharacteristic
323C2×C4⋊Dic3C2311yescharacteristic
324C2×C4⋊Dic3C2311yescharacteristic
325C2×C4⋊Dic3C2311yescharacteristic
326C2×C4⋊Dic3C2311yescharacteristic
327C2×C4⋊Dic3C2311yescharacteristic
328C2×C4⋊Dic3C2311yescharacteristic
329C2×C4⋊Dic3C2311yescharacteristic
330C2×C4⋊Dic3C2311yescharacteristic
331C2×C4⋊Dic3C2311yescharacteristic
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×Dic3⋊C4C2311yescharacteristic
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
362C2×C4×Dic3C2311yescharacteristic
363C2×C4×Dic3C2311yescharacteristic
364#896—24no—
365#896D418yescomplemented
366#894—24no—
367#894—42no—
368#893—24no—
369#893—24no—
370#892—24no—
371D3×C4⋊C4—24no—
372D3×C4⋊C4—42no—
373#890—24no—
374#889—24no—
375#889—24no—
376#887—42no—
377#884—24no—
378#884—24no—
379#884—42no—
380#883—24no—
381#883—24no—
382#883—24no—
383#883—42no—
384#882—24no—
385#67⋊C4—24no—
386#67⋊C4—24no—
387#67⋊C4—24no—
388#67⋊C4—42no—
389D3×C22⋊C4—42no—
390D3×C22⋊C4—42no—
391#879—24no—
392#878—24no—
393#877—24no—
394#877—24no—
395#872—24no—
396C4×Dic6—24no—
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
420C3⋊#95C2311yescharacteristic
421C3⋊#95C2311yescharacteristic
422C3⋊#95C2311yescharacteristic
423C22×#41—31no—
424C24×C4—31no—
425#552—68no—
426C2×#126—31no—
427C2×#126C2×D311yescharacteristic, complemented
428C2×#125—31no—
429C2×#125—31no—
430C2×#125—31no—
431#525—68no—
432C2×#123—31no—
433C2×#123—31no—
434C2×#123—31no—
435C2×#123—31no—
436C2×#123—31no—
437C2×#123—31no—
438C2×#123—31no—
439C2×#123C2×D311yescharacteristic
440C2×C22⋊Q8—31no—
441C2×C22⋊Q8—31no—
442C2×C22⋊Q8—31no—
443C2×#121—31no—
444C2×#121—31no—
445C2×#121—31no—
446C2×#121—31no—
447C2×#121—31no—
448C2×#120—31no—
449C2×#120—31no—
450C2×#120—31no—
451C2×C4×Q8—31no—
452C2×C4×Q8—31no—
453C2×C4×D4—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×#117—31no—
461C2×#117—31no—
462C2×#117—31no—
463C2×#117—31no—
464C22×C4⋊C4—31no—
465C22×C4⋊C4—31no—
466C22×C22⋊C4—31no—
467C22×C22⋊C4—31no—
468#399—31no—
469#399—31no—
470#399—31no—
471#399—31no—
472#399—31no—
473#399—31no—
474#399—31no—
475#399C2×D311yescharacteristic, complemented
476#398—31no—
477#398—31no—
478#397—31no—
479#397—31no—
480#396—31no—
481#396—31no—
482#396—31no—
483#396—31no—
484#396—31no—
485#396—31no—
486#396C2×D311yescharacteristic
487#396C2×D311yescharacteristic, complemented
488#394—31no—
489#394—31no—
490#394—31no—
491#394—31no—
492#394—31no—
493#394—31no—
494#394C2×D311yescharacteristic, complemented
495#394C2×D311yescharacteristic, complemented
496#392—31no—
497#392—31no—
498#392—31no—
499#392C2×D311yescharacteristic
500#391—31no—
501#390—31no—
502#390—31no—
503#390—31no—
504#390—31no—
505#390—31no—
506#390—31no—
507#390—31no—
508#390—31no—
509#390—31no—
510#390—31no—
511#390—31no—
512#390—31no—
513#390—31no—
514#390C2×D311yescharacteristic
515#390C2×D311yescharacteristic
516#389—31no—
517#389—31no—
518#389—31no—
519#389—31no—
520#389—31no—
521#389—31no—
522#389—31no—
523#389C2×D311yescharacteristic, complemented
524#388—31no—
525#388—31no—
526#388—31no—
527#388—31no—
528#388—31no—
529#388—31no—
530#388—31no—
531#388—31no—
532#388—31no—
533#388C2×D311yescharacteristic, complemented
534#387—31no—
535#387—31no—
536#387—31no—
537#387—31no—
538#387—31no—
539#387C2×D311yescharacteristic, complemented
540#386—31no—
541#386—31no—
542#386—31no—
543#386—31no—
544#386—31no—
545#386—31no—
546#386C2×D311yescharacteristic
547#385—31no—
548#385—31no—
549#385—31no—
550#385—31no—
551#385—31no—
552#385—31no—
553#385—31no—
554#384—31no—
555#384—31no—
556#380—31no—
557#380—31no—
558#380—31no—
559#380—31no—
560#380—31no—
561#380—31no—
562#380—31no—
563#380—31no—
564#380—31no—
565#380—31no—
566#380C2×D311yescharacteristic
567#379—31no—
568C4×C4⋊C4—31no—
569C4×C4⋊C4—31no—
570C4×C4⋊C4—31no—
571C4×C22⋊C4—31no—
572C4×C22⋊C4—31no—
573C4×C22⋊C4—31no—
574C4×C22⋊C4—31no—
575C4×C22⋊C4—31no—
576C4×C22⋊C4—31no—
577C4×C22⋊C4—31no—
578C2×#95—31no—
579C2×#95—31no—
580C24×C3C2411yescharacteristic
581C24×C3C2411yescharacteristic
582C24×C3C2411yescharacteristic
583C23×D3—22no—
584C23×D3—22no—
585C23×D3—22no—
586C23×D3—22no—
587C23×D3—22no—
588C23×D3—41no—
589C23×D3—41no—
590C23×D3C2411yescharacteristic
591C23×D3C2411yescharacteristic
592C23×D3C2411yescharacteristic
593C2×C3×D4—22no—
594C2×C3×D4—22no—
595C2×C3×D4—22no—
596C2×C3×D4—22no—
597C2×C3×D4—41no—
598C2×C3×D4—41no—
599C2×C3×D4—41no—
600C2×C3×D4—41no—
601C2×C3×D4—41no—
602C22×C3×C4—22no—
603C22×C3×C4—22no—
604C22×C3×C4—41no—
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
615C22×C3×C4C2411yescharacteristic
616C22×C3×C4C2411yescharacteristic
617C2×#67—22no—
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—22no—
629C2×#67—22no—
630C2×#67—22no—
631C2×#67—22no—
632C2×#67—41no—
633C2×#67—41no—
634C2×#67—41no—
635C2×#67—41no—
636C2×#67—41no—
637C2×#67—41no—
638C22×Dic3—22no—
639C22×Dic3—22no—
640C22×Dic3—22no—
641C22×Dic3—22no—
642C22×Dic3—22no—
643C22×Dic3—22no—
644C22×Dic3—22no—
645C22×Dic3—41no—
646C22×Dic3#4114yes—
647C22×Dic3C2411yescharacteristic
648C22×Dic3C2411yescharacteristic
649C22×Dic3C2411yescharacteristic
650C22×Dic3C2411yescharacteristic
651C22×Dic3C2411yescharacteristic
652C22×Dic3C2411yescharacteristic
653C22×Dic3C2411yescharacteristic
654C22×Dic3C2411yescharacteristic
655C22×Dic3C2411yescharacteristic
656C22×Dic3C2411yescharacteristic
657C22×Dic3C2411yescharacteristic
658C22×Dic3C2411yescharacteristic
659C22×Dic3C2411yescharacteristic
660#237—416no—
661C2×D12—22no—
662C2×D12—22no—
663C2×D12—22no—
664C2×D12—22no—
665C2×D12—22no—
666C2×D12—41no—
667C2×C4×D3—22no—
668C2×C4×D3—22no—
669C2×C4×D3—22no—
670C2×C4×D3—22no—
671C2×C4×D3—22no—
672C2×C4×D3—22no—
673C2×C4×D3—22no—
674C2×C4×D3—22no—
675C2×C4×D3—22no—
676C2×C4×D3—22no—
677C2×C4×D3—22no—
678C2×C4×D3—22no—
679C2×C4×D3—22no—
680C2×C4×D3—22no—
681C2×C4×D3—22no—
682C2×C4×D3—22no—
683C2×C4×D3—22no—
684C2×C4×D3—22no—
685C2×C4×D3—22no—
686C2×C4×D3—416no—
687C2×C4×D3—41no—
688C2×C4×D3—41no—
689C2×C4×D3—41no—
690C2×C4×D3—41no—
691C2×C4×D3—41no—
692C2×C4×D3—41no—
693C2×C4×D3—41no—
694C2×C4×D3C2×D414yes—
695C2×Dic6—22no—
696C2×Dic6—22no—
697C2×Dic6C2×D414yes—
698C3×C4⋊C4—22no—
699C3×C4⋊C4—22no—
700C3×C4⋊C4—22no—
701C3×C4⋊C4—22no—
702C3×C4⋊C4—41no—
703C3×C4⋊C4—41no—
704C3×C4⋊C4—41no—
705C3×C4⋊C4—41no—
706C3×C4⋊C4C2×D414yes—
707C3×C22⋊C4—22no—
708C3×C22⋊C4—22no—
709C3×C22⋊C4—22no—
710C3×C22⋊C4—22no—
711C3×C22⋊C4—22no—
712C3×C22⋊C4—22no—
713C3×C22⋊C4—22no—
714C3×C22⋊C4—41no—
715C3×C22⋊C4—41no—
716C3×C22⋊C4—41no—
717C3×C22⋊C4—41no—
718C3×C22⋊C4—41no—
719C3×C22⋊C4—41no—
720C3×C22⋊C4—41no—
721C3×C42—22no—
722C3×C42—41no—
723#217—22no—
724#217—22no—
725#217—22no—
726#217—22no—
727#217—22no—
728#217—22no—
729#217—22no—
730#217—41no—
731#217—41no—
732#217—41no—
733#217—41no—
734#217—41no—
735#217—41no—
736(C2×D3)⋊C4—22no—
737(C2×D3)⋊C4—22no—
738(C2×D3)⋊C4—22no—
739(C2×D3)⋊C4—22no—
740(C2×D3)⋊C4—22no—
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—41no—
747(C2×D3)⋊C4—41no—
748(C2×D3)⋊C4—41no—
749(C2×D3)⋊C4—41no—
750(C2×D3)⋊C4—41no—
751(C2×D3)⋊C4—41no—
752(C2×D3)⋊C4—41no—
753(C2×D3)⋊C4—41no—
754(C2×D3)⋊C4—41no—
755(C2×D3)⋊C4—41no—
756(C2×D3)⋊C4C2×D414yes—
757(C2×D3)⋊C4C2×D414yes—
758(C2×D3)⋊C4#4114yescomplemented
759C4⋊Dic3—22no—
760C4⋊Dic3—22no—
761C4⋊Dic3—22no—
762C4⋊Dic3—22no—
763C4⋊Dic3—22no—
764C4⋊Dic3—22no—
765C4⋊Dic3—41no—
766C4⋊Dic3—41no—
767C4⋊Dic3—41no—
768Dic3⋊C4—22no—
769Dic3⋊C4—22no—
770Dic3⋊C4—22no—
771Dic3⋊C4—22no—
772Dic3⋊C4—22no—
773Dic3⋊C4—22no—
774Dic3⋊C4—22no—
775Dic3⋊C4—22no—
776Dic3⋊C4—22no—
777Dic3⋊C4—22no—
778Dic3⋊C4—22no—
779Dic3⋊C4—22no—
780Dic3⋊C4—22no—
781Dic3⋊C4—41no—
782Dic3⋊C4—41no—
783Dic3⋊C4—41no—
784Dic3⋊C4—41no—
785Dic3⋊C4—41no—
786Dic3⋊C4—41no—
787Dic3⋊C4C2×D414yes—
788Dic3⋊C4C2×D414yes—
789C4×Dic3—22no—
790C4×Dic3—22no—
791C4×Dic3—22no—
792C4×Dic3—22no—
793C4×Dic3—22no—
794C4×Dic3—22no—
795C4×Dic3—22no—
796C4×Dic3—22no—
797C4×Dic3—41no—
798C4×Dic3—41no—
799C4×Dic3—41no—
800C25—31no—
801C2×#41—64no—
802C2×#41—64no—
803C2×#41—122no—
804C22×Q8—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×D4C22×D311yescharacteristic
815C22×D4C22×D311yescharacteristic
816C22×D4C22×D311yescharacteristic
817C23×C4—31no—
818C23×C4—31no—
819C23×C4—31no—
820C23×C4—31no—
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—64no—
830C23×C4—64no—
831C23×C4—122no—
832C23×C4C22×D311yescharacteristic
833#126—24no—
834#126—64no—
835#125—64no—
836#125—64no—
837#125—64no—
838#123—24no—
839#123—64no—
840#123—64no—
841#123—64no—
842#123—64no—
843#123—64no—
844#123—122no—
845#123—122no—
846C22⋊Q8—38no—
847C22⋊Q8—64no—
848C22⋊Q8—64no—
849#121—64no—
850#121—64no—
851#121—122no—
852#121—122no—
853#121—122no—
854#120—64no—
855#120—64no—
856#120—64no—
857C4×Q8—64no—
858C4×Q8—122no—
859C4×D4—64no—
860C4×D4—64no—
861C4×D4—64no—
862C4×D4—64no—
863C4×D4—64no—
864C4×D4—64no—
865C4×D4—122no—
866#117—64no—
867#117—64no—
868#117—64no—
869#117—64no—
870C2×C4⋊C4—31no—
871C2×C4⋊C4—31no—
872C2×C4⋊C4—31no—
873C2×C4⋊C4—31no—
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⋊C4—31no—
896C2×C4⋊C4—31no—
897C2×C4⋊C4—31no—
898C2×C4⋊C4—31no—
899C2×C4⋊C4—31no—
900C2×C4⋊C4—64no—
901C2×C4⋊C4—122no—
902C2×C4⋊C4C22×D311yescharacteristic
903C2×C4⋊C4C22×D311yescharacteristic
904C2×C4⋊C4C22×D311yescharacteristic
905C2×C4⋊C4C22×D311yescharacteristic
906C2×C4⋊C4C22×D311yescharacteristic
907C2×C4⋊C4C22×D311yescharacteristic
908C2×C4⋊C4C22×D311yescharacteristic
909C2×C4⋊C4C22×D311yescharacteristic
910C2×C4⋊C4C22×D311yescharacteristic
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—31no—
945C2×C22⋊C4—31no—
946C2×C22⋊C4—31no—
947C2×C22⋊C4—122no—
948C2×C22⋊C4—122no—
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×C22⋊C4C22×D311yescharacteristic
960C2×C22⋊C4C22×D311yescharacteristic
961C2×C22⋊C4C22×D311yescharacteristic
962C2×C22⋊C4C22×D311yescharacteristic
963C2×C42—31no—
964C2×C42—31no—
965C2×C42—31no—
966C2×C42—31no—
967C2×C42—31no—
968C2×C42—31no—
969C2×C42—31no—
970C2×C42—31no—
971C2×C42—31no—
972C2×C42—31no—
973C2×C42—31no—
974C2×C42C22×D311yescharacteristic
975C2×C42C22×D311yescharacteristic
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#95C22×D311yescharacteristic
997#95C22×D311yescharacteristic
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×C3C2×#4112yes—
1023C23×C3C2511yescharacteristic
1024C22×D3—21no—
1025C22×D3—21no—
1026C22×D3—21no—
1027C22×D3—21no—
1028C22×D3—28no—
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—44no—
1043C22×D3—44no—
1044C22×D3—44no—
1045C22×D3—44no—
1046C22×D3—44no—
1047C22×D3—44no—
1048C22×D3C22×D412yes—
1049C22×D3C2×#4112yes—
1050C22×D3H(5,𝔽2)12yes—
1051C22×D32−1+412yes—
1052C3×D4—44no—
1053C3×D4—44no—
1054C3×D4—82no—
1055C2×C3×C4—21no—
1056C2×C3×C4—21no—
1057C2×C3×C4—21no—
1058C2×C3×C4—21no—
1059C2×C3×C4—21no—
1060C2×C3×C4—21no—
1061C2×C3×C4—21no—
1062C2×C3×C4—21no—
1063C2×C3×C4—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—44no—
1088C2×C3×C4C22×D412yes—
1089C2×C3×C4C22×D412yes—
1090C2×C3×C4C22×D412yes—
1091C2×C3×C4C2×#4112yes—
1092#67—44no—
1093#67—44no—
1094#67—44no—
1095#67—44no—
1096#67—44no—
1097#67—44no—
1098#67—82no—
1099C2×Dic3—21no—
1100C2×Dic3—21no—
1101C2×Dic3—21no—
1102C2×Dic3—21no—
1103C2×Dic3—21no—
1104C2×Dic3—21no—
1105C2×Dic3—21no—
1106C2×Dic3—21no—
1107C2×Dic3—28no—
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—44no—
1133C2×Dic3—44no—
1134C2×Dic3C22×D412yes—
1135C2×Dic3C22×D412yes—
1136C2×Dic3C22×D412yes—
1137C2×Dic3C2×#4112yes—
1138C2×Dic3C2×#4112yes—
1139C2×Dic3C2×#4112yes—
1140C2×Dic3H(5,𝔽2)12yes—
1141D12—44no—
1142D12—44no—
1143C4×D3—28no—
1144C4×D3—44no—
1145C4×D3—44no—
1146C4×D3—44no—
1147C4×D3—44no—
1148C4×D3—44no—
1149C4×D3—44no—
1150C4×D3—82no—
1151C4×D3—82no—
1152Dic6—28no—
1153C24—31no—
1154C24—31no—
1155C24—31no—
1156C24—62no—
1157C24—62no—
1158C24—62no—
1159C24—62no—
1160C24—62no—
1161C24—121no—
1162C24—121no—
1163C24C23×D311yescharacteristic
1164C24C23×D311yescharacteristic
1165C24C23×D311yescharacteristic
1166#41—1216no—
1167C2×Q8—34no—
1168C2×Q8—62no—
1169C2×Q8—62no—
1170C2×D4—22no—
1171C2×D4—22no—
1172C2×D4—22no—
1173C2×D4—22no—
1174C2×D4—41no—
1175C2×D4—41no—
1176C2×D4—41no—
1177C2×D4—41no—
1178C2×D4—41no—
1179C2×D4—62no—
1180C2×D4—62no—
1181C2×D4—62no—
1182C2×D4—62no—
1183C2×D4—62no—
1184C2×D4—62no—
1185C2×D4—62no—
1186C2×D4—62no—
1187C2×D4—62no—
1188C2×D4—62no—
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—121no—
1200C2×D4—121no—
1201C2×D4—121no—
1202C2×D4—121no—
1203C2×D4—121no—
1204C2×D4—121no—
1205C2×D4—121no—
1206C22×C4—22no—
1207C22×C4—22no—
1208C22×C4—31no—
1209C22×C4—34no—
1210C22×C4—31no—
1211C22×C4—31no—
1212C22×C4—31no—
1213C22×C4—31no—
1214C22×C4—34no—
1215C22×C4—31no—
1216C22×C4—31no—
1217C22×C4—31no—
1218C22×C4—31no—
1219C22×C4—31no—
1220C22×C4—31no—
1221C22×C4—31no—
1222C22×C4—31no—
1223C22×C4—41no—
1224C22×C4—62no—
1225C22×C4—62no—
1226C22×C4—62no—
1227C22×C4—62no—
1228C22×C4—62no—
1229C22×C4—62no—
1230C22×C4—62no—
1231C22×C4—62no—
1232C22×C4—62no—
1233C22×C4—62no—
1234C22×C4—62no—
1235C22×C4—62no—
1236C22×C4—62no—
1237C22×C4—62no—
1238C22×C4—62no—
1239C22×C4—62no—
1240C22×C4—62no—
1241C22×C4—62no—
1242C22×C4—62no—
1243C22×C4—62no—
1244C22×C4—62no—
1245C22×C4—62no—
1246C22×C4—62no—
1247C22×C4—62no—
1248C22×C4—62no—
1249C22×C4—62no—
1250C22×C4—121no—
1251C22×C4—121no—
1252C22×C4—121no—
1253C22×C4—121no—
1254C22×C4—121no—
1255C22×C4—121no—
1256C22×C4—121no—
1257C22×C4—1216no—
1258C22×C4—121no—
1259C22×C4C23×D311yescharacteristic
1260C22×C4C23×D311yescharacteristic
1261C22×C4C23×D311yescharacteristic
1262C22×C4C23×D311yescharacteristic
1263C22×C4C23×D311yescharacteristic
1264C22×C4C23×D311yescharacteristic
1265C22×C4C23×D311yescharacteristic
1266C22×C4C23×D311yescharacteristic
1267C22×C4C23×D311yescharacteristic
1268C22×C4C23×D311yescharacteristic
1269C22×C4C23×D311yescharacteristic
1270C22×C4C23×D311yescharacteristic
1271C4⋊C4—22no—
1272C4⋊C4—22no—
1273C4⋊C4—22no—
1274C4⋊C4—22no—
1275C4⋊C4—34no—
1276C4⋊C4—34no—
1277C4⋊C4—41no—
1278C4⋊C4—41no—
1279C4⋊C4—41no—
1280C4⋊C4—41no—
1281C4⋊C4—62no—
1282C4⋊C4—62no—
1283C4⋊C4—62no—
1284C4⋊C4—62no—
1285C4⋊C4—62no—
1286C4⋊C4—62no—
1287C4⋊C4—62no—
1288C4⋊C4—62no—
1289C4⋊C4—62no—
1290C4⋊C4—62no—
1291C4⋊C4—62no—
1292C4⋊C4—62no—
1293C4⋊C4—62no—
1294C4⋊C4—62no—
1295C4⋊C4—62no—
1296C4⋊C4—62no—
1297C4⋊C4—62no—
1298C4⋊C4—62no—
1299C4⋊C4—62no—
1300C4⋊C4—121no—
1301C4⋊C4—121no—
1302C4⋊C4—121no—
1303C4⋊C4—121no—
1304C4⋊C4—121no—
1305C4⋊C4—121no—
1306C4⋊C4—121no—
1307C4⋊C4—121no—
1308C4⋊C4—121no—
1309C4⋊C4D3×D414yes—
1310C22⋊C4—22no—
1311C22⋊C4—22no—
1312C22⋊C4—22no—
1313C22⋊C4—22no—
1314C22⋊C4—22no—
1315C22⋊C4—22no—
1316C22⋊C4—22no—
1317C22⋊C4—34no—
1318C22⋊C4—34no—
1319C22⋊C4—34no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
1326C22⋊C4—41no—
1327C22⋊C4—62no—
1328C22⋊C4—62no—
1329C22⋊C4—62no—
1330C22⋊C4—62no—
1331C22⋊C4—62no—
1332C22⋊C4—62no—
1333C22⋊C4—62no—
1334C22⋊C4—62no—
1335C22⋊C4—62no—
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—121no—
1345C22⋊C4—121no—
1346C22⋊C4—121no—
1347C22⋊C4—121no—
1348C22⋊C4—121no—
1349C22⋊C4—121no—
1350C22⋊C4—121no—
1351C22⋊C4—121no—
1352C22⋊C4—121no—
1353C22⋊C4—121no—
1354C22⋊C4—121no—
1355C22⋊C4—121no—
1356C22⋊C4—121no—
1357C22⋊C4—121no—
1358C22⋊C4—121no—
1359C22⋊C4—121no—
1360C42—22no—
1361C42—41no—
1362C42—62no—
1363C42—62no—
1364C42—62no—
1365C42—62no—
1366C42—62no—
1367C42—62no—
1368C42—62no—
1369C42—62no—
1370C42—121no—
1371C42—121no—
1372C42—121no—
1373C22×C3—22no—
1374C22×C3—22no—
1375C22×C3—22no—
1376C22×C3—41no—
1377C22×C3—41no—
1378C22×C3—41no—
1379C22×C3—41no—
1380C22×C3—41no—
1381C22×C3—41no—
1382C22×C3—41no—
1383C22×C3—41no—
1384C22×C3—41no—
1385C22×C3—41no—
1386C22×C3—41no—
1387C22×C3—41no—
1388C22×C3—41no—
1389C22×C3—41no—
1390C22×C3—41no—
1391C22×C3—41no—
1392C22×C3—41no—
1393C22×C3—41no—
1394C22×C3C23×D411yescharacteristic
1395C22×C3C22×#4111yescharacteristic
1396C22×C3C22×#4111yescharacteristic
1397C22×C3C2×H(5,𝔽2)11yescharacteristic
1398C22×C3C2×H(5,𝔽2)11yescharacteristic
1399C22×C3C2×2−1+411yescharacteristic
1400C22×C3#58511yescharacteristic
1401C2×D3—22no—
1402C2×D3—22no—
1403C2×D3—22no—
1404C2×D3—22no—
1405C2×D3—22no—
1406C2×D3—22no—
1407C2×D3—22no—
1408C2×D3—22no—
1409C2×D3—22no—
1410C2×D3—416no—
1411C2×D3—41no—
1412C2×D3—41no—
1413C2×D3—41no—
1414C2×D3—41no—
1415C2×D3—41no—
1416C2×D3—41no—
1417C2×D3—41no—
1418C2×D3—41no—
1419C2×D3—41no—
1420C2×D3—41no—
1421C2×D3—41no—
1422C2×D3#55014yes—
1423C3×C4—22no—
1424C3×C4—22no—
1425C3×C4—22no—
1426C3×C4—22no—
1427C3×C4—41no—
1428C3×C4—41no—
1429C3×C4—41no—
1430C3×C4—41no—
1431C3×C4—41no—
1432C3×C4—41no—
1433C3×C4—41no—
1434C3×C4—41no—
1435Dic3—22no—
1436Dic3—22no—
1437Dic3—22no—
1438Dic3—22no—
1439Dic3—41no—
1440Dic3—41no—
1441Dic3—41no—
1442Dic3—41no—
1443Dic3—41no—
1444Dic3—41no—
1445Dic3—41no—
1446Dic3—41no—
1447Dic3#54614yes—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—32no—
1469C23—32no—
1470C23—32no—
1471C23—32no—
1472C23—68no—
1473C23—61no—
1474C23—61no—
1475C23—61no—
1476C23—61no—
1477C23—61no—
1478C23—61no—
1479C23—61no—
1480C23—61no—
1481C23—61no—
1482C23—61no—
1483C23—61no—
1484C23—61no—
1485C23—61no—
1486C23—61no—
1487C23—61no—
1488C23—61no—
1489C23—61no—
1490C23—124no—
1491C23—124no—
1492C23—124no—
1493C23—124no—
1494C23—124no—
1495C23—124no—
1496C23D3×#4112yes—
1497C23C24×D311yescharacteristic
1498Q8—68no—
1499D4—44no—
1500D4—44no—
1501D4—82no—
1502D4—124no—
1503D4—124no—
1504D4—124no—
1505D4—124no—
1506D4—124no—
1507D4—124no—
1508D4—124no—
1509D4—124no—
1510D4—242no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—32no—
1544C2×C4—32no—
1545C2×C4—32no—
1546C2×C4—32no—
1547C2×C4—32no—
1548C2×C4—32no—
1549C2×C4—32no—
1550C2×C4—44no—
1551C2×C4—68no—
1552C2×C4—68no—
1553C2×C4—61no—
1554C2×C4—61no—
1555C2×C4—61no—
1556C2×C4—61no—
1557C2×C4—61no—
1558C2×C4—61no—
1559C2×C4—61no—
1560C2×C4—61no—
1561C2×C4—61no—
1562C2×C4—61no—
1563C2×C4—61no—
1564C2×C4—61no—
1565C2×C4—61no—
1566C2×C4—61no—
1567C2×C4—61no—
1568C2×C4—61no—
1569C2×C4—61no—
1570C2×C4—61no—
1571C2×C4—61no—
1572C2×C4—61no—
1573C2×C4—61no—
1574C2×C4—61no—
1575C2×C4—61no—
1576C2×C4—61no—
1577C2×C4—61no—
1578C2×C4—61no—
1579C2×C4—61no—
1580C2×C4—61no—
1581C2×C4—61no—
1582C2×C4—61no—
1583C2×C4—61no—
1584C2×C4—61no—
1585C2×C4—124no—
1586C2×C4—124no—
1587C2×C4—124no—
1588C2×C4—124no—
1589C2×C4—124no—
1590C2×C4—124no—
1591C2×C4—124no—
1592C2×C4—124no—
1593C2×C4—242no—
1594C2×C4—242no—
1595C2×C4C2×D3×D412yes—
1596C2×C4C2×D3×D412yes—
1597C2×C4C2×D3×D412yes—
1598C2×C4D3×#4112yes—
1599C2×C3—42no—
1600C2×C3—81no—
1601C2×C3—81no—
1602C2×C3C2×#54611yescharacteristic
1603C2×C3C2×#55011yescharacteristic
1604C2×C3#347511yescharacteristic
1605C2×C3#348911yescharacteristic
1606C2×C3#349211yescharacteristic
1607C2×C3#352011yescharacteristic
1608C2×C3#354211yescharacteristic
1609D3—24no—
1610D3—42no—
1611D3—81no—
1612C22—22no—
1613C22—22no—
1614C22—22no—
1615C22—34no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—62no—
1635C22—62no—
1636C22—62no—
1637C22—62no—
1638C22—62no—
1639C22—62no—
1640C22—62no—
1641C22—62no—
1642C22—62no—
1643C22—1216no—
1644C22—121no—
1645C22—121no—
1646C22—121no—
1647C22—121no—
1648C22—121no—
1649C22—121no—
1650C22—121no—
1651C22—121no—
1652C22—121no—
1653C22—121no—
1654C22—121no—
1655C22C22×D3×D411yescharacteristic
1656C22C2×D3×#4111yescharacteristic
1657C22C2×D3×#4111yescharacteristic
1658C22D3×H(5,𝔽2)11yescharacteristic
1659C22D3×H(5,𝔽2)11yescharacteristic
1660C22#596611yescharacteristic
1661C22D3×2−1+411yescharacteristic
1662C4—22no—
1663C4—22no—
1664C4—22no—
1665C4—22no—
1666C4—34no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—41no—
1671C4—41no—
1672C4—41no—
1673C4—41no—
1674C4—41no—
1675C4—62no—
1676C4—62no—
1677C4—62no—
1678C4—62no—
1679C4—121no—
1680C4—121no—
1681C4—121no—
1682C4—121no—
1683C4—121no—
1684C4—121no—
1685C4—121no—
1686C4—121no—
1687C3#5902211yescharacteristic, complemented, Sylow
1688C2—42no—
1689C2—64no—
1690C2—81no—
1691C2—81no—
1692C2—122no—
1693C2—241no—
1694C2#8638011yescharacteristic
1695C2#8643011yescharacteristic
1696C2#8655611yescharacteristic
1697C2D3×#54611yescharacteristic
1698C2D3×#55011yescharacteristic
1699C2#8679011yescharacteristic
1700C2#8707411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2705C2
hypercenter#2705D3
hypocenterC3#59022
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2705

Complements

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

NH ≅ G/Ntype
1. C2×#5708C2semidirect
2. C2×#5656C2semidirect
3. C3×#2705C2semidirect
4. #83106C2semidirect
5. #82876C2semidirect
6. #78030C2semidirect
7. #78023C2semidirect
8. #77417C2semidirect
9. #77414C2semidirect
10. #77314C2semidirect
11. #77289C2semidirect
12. #77115C2semidirect
13. #76921C2semidirect
14. #76898C2semidirect
15. #76896C2semidirect
16. #76758C2semidirect
17. #76668C2semidirect
18. #76454C2semidirect
19. #76437C2semidirect
20. #76302C2semidirect
21. #76301C2semidirect
22. #76016C2semidirect
23. #75983C2semidirect
24. #75838C2semidirect
25. #75545C2semidirect
26. #75307C2semidirect
27. #74982C2semidirect
28. #74816C2semidirect
29. #74659C2semidirect
30. D3×#380C2semidirect
31. #73962C2semidirect
35. C2×C3×#126C22semidirect
37. C2×#939C22semidirect
54. C2×#890C22semidirect
55. C2×#889C22semidirect
56. C2×#889C22semidirect
57. C2×#887C22semidirect
72. C2×#879C22semidirect
73. C2×#878C22semidirect
75. C2×#877C22semidirect
77. C2×C4×Dic6C22semidirect
78. C3×#399C22semidirect
80. C3×#396C22semidirect
81. C3×#394C22semidirect
82. C3×#394C22semidirect
86. C3×#389C22semidirect
87. C3×#388C22semidirect
88. C3×#387C22semidirect
96. #5220C22semidirect
101. #4994C22semidirect
103. #4993C22semidirect
110. #4987C22semidirect
111. #4984C22semidirect
112. #4981C22semidirect
113. #4980C22semidirect
114. #4978C22semidirect
115. #4978C22semidirect
116. #4976C22semidirect
117. #4976C22semidirect
118. #4976C22semidirect
119. #4975C22semidirect
120. #4975C22semidirect
121. Dic3×C4⋊C4C22semidirect
123. #4961C22semidirect
126. #4959C22semidirect
133. #4957C22semidirect
134. #4957C22semidirect
135. #4957C22semidirect
139. #4956C22semidirect
141. #4953C22semidirect
142. #4950C22semidirect
145. #4949C22semidirect
147. #4948C22semidirect
148. #4948C22semidirect
150. #4945C22semidirect
152. #4944C22semidirect
153. #4944C22semidirect
156. #4942C22semidirect
157. #4942C22semidirect
159. Dic3×C22⋊C4C22semidirect
163. C4×(C2×D3)⋊C4C22semidirect
164. C4×C4⋊Dic3C22semidirect
165. C4×Dic3⋊C4C22semidirect
167. #4677C22semidirect
168. #4675C22semidirect
170. #4669C22semidirect
171. #4669C22semidirect
174. #4668C22semidirect
183. #4657C22semidirect
184. #4654C22semidirect
185. #4652C22semidirect
186. #4647C22semidirect
187. #4647C22semidirect
188. #4647C22semidirect
189. #4646C22semidirect
193. #2705D3semidirect
365. #896D4semidirect
427. C2×#126C2×D3semidirect
475. #399C2×D3semidirect
487. #396C2×D3semidirect
494. #394C2×D3semidirect
495. #394C2×D3semidirect
523. #389C2×D3semidirect
533. #388C2×D3semidirect
539. #387C2×D3semidirect
758. (C2×D3)⋊C4#41semidirect
1687. C3#59022semidirect

Maximal subgroups

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

subgroupindex
C2×#57082
C2×#56562
C3×#27052
#831062
#828762
#780302
#780232
#774172
#774142
#773142
#772892
#771152
#769212
#768982
#768962
#767582
#766682
#764542
#764372
#763022
#763012
#760162
#759832
#758382
#755452
#753072
#749822
#748162
#746592
D3×#3802
#739622
#590223