Finite Group Databasebeta

← #11098165

Subgroups — #11098165

Order 768.

2850 conjugacy classes of subgroups.

The subgroup lattice has 1916 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5657C211yesmaximal, characteristic, complemented
2C2×#5630C211yesmaximal, characteristic, complemented
3C3×#2696C211yesmaximal, characteristic, complemented
4#82906C211yesmaximal, characteristic, complemented
5#82804C211yesmaximal, characteristic, complemented
6#78401C211yesmaximal, characteristic, complemented
7#78346C211yesmaximal, characteristic, complemented
8#77701C211yesmaximal, characteristic, complemented
9#77684C211yesmaximal, characteristic, complemented
10#77129C211yesmaximal, characteristic, complemented
11D3×#394C211yesmaximal, characteristic, complemented
12#76885C211yesmaximal, characteristic, complemented
13#76864C211yesmaximal, characteristic, complemented
14#76863C211yesmaximal, characteristic, complemented
15#76819C211yesmaximal, characteristic, complemented
16#76761C211yesmaximal, characteristic, complemented
17#76673C211yesmaximal, characteristic, complemented
18#76456C211yesmaximal, characteristic, complemented
19#76454C211yesmaximal, characteristic, complemented
20#75842C211yesmaximal, characteristic, complemented
21#75527C211yesmaximal, characteristic, complemented
22#75305C211yesmaximal, characteristic, complemented
23#75160C211yesmaximal, characteristic, complemented
24#74912C211yesmaximal, characteristic, complemented
25#74901C211yesmaximal, characteristic, complemented
26#74887C211yesmaximal, characteristic, complemented
27#74884C211yesmaximal, characteristic, complemented
28#74784C211yesmaximal, characteristic, complemented
29#74753C211yesmaximal, characteristic, complemented
30#73966C211yesmaximal, characteristic, complemented
31#73887C211yesmaximal, characteristic, complemented
32#40512—31nomaximal, Sylow
33C22×#239C2211yescharacteristic
34C22×D3×D4C2211yescharacteristic
35C23×D12C2211yescharacteristic
36C2×C3×#123C2211yescharacteristic, complemented
37C2×C3×C22⋊Q8C2211yescharacteristic, complemented
38C2×#947C2211yescharacteristic, complemented
39C2×#940C2211yescharacteristic
40C2×#940C2211yescharacteristic, complemented
41C2×#938C2211yescharacteristic, complemented
42C2×#937C2211yescharacteristic
43C2×#937C2211yescharacteristic
44C2×#937C2211yescharacteristic, complemented
45C2×#937C2211yescharacteristic, complemented
46C2×#930C2211yescharacteristic, complemented
47C2×#930C2211yescharacteristic, complemented
48C2×C4×#67C2211yescharacteristic, complemented
49C2×C4×#67C2211yescharacteristic, complemented
50#5657—28no—
51#5630—28no—
52C2×#898C2211yescharacteristic, complemented
53C2×#897C2211yescharacteristic, complemented
54C2×#895C2211yescharacteristic
55C2×#895C2211yescharacteristic, complemented
56C2×#895C2211yescharacteristic, complemented
57C2×#894C2211yescharacteristic
58C2×#894C2211yescharacteristic, complemented
59C2×#894C2211yescharacteristic, complemented
60C2×#893C2211yescharacteristic
61C2×D3×C4⋊C4C2211yescharacteristic, complemented
62C2×#885C2211yescharacteristic, complemented
63C2×#885C2211yescharacteristic, complemented
64C2×#885C2211yescharacteristic, complemented
65C2×#884C2211yescharacteristic
66C2×#884C2211yescharacteristic
67C2×#884C2211yescharacteristic, complemented
68C2×#883C2211yescharacteristic, complemented
69C2×#882C2211yescharacteristic
70C2×#882C2211yescharacteristic
71C2×#882C2211yescharacteristic
72C2×#882C2211yescharacteristic
73C2×#882C2211yescharacteristic, complemented
74C2×#882C2211yescharacteristic, complemented
75C2×D3×C22⋊C4C2211yescharacteristic
76C2×D3×C22⋊C4C2211yescharacteristic
77C2×D3×C22⋊C4C2211yescharacteristic, complemented
78C2×D3×C22⋊C4C2211yescharacteristic, complemented
79C2×D3×C22⋊C4C2211yescharacteristic, complemented
80C2×#879C2211yescharacteristic, complemented
81C2×#872C2211yescharacteristic, complemented
82C3×#400C2211yescharacteristic, complemented
83C3×#397C2211yescharacteristic, complemented
84C3×#394C2211yescharacteristic
85C3×#393C2211yescharacteristic, complemented
86C3×#393C2211yescharacteristic, complemented
87C3×#392C2211yescharacteristic
88C3×#390C2211yescharacteristic, complemented
89C3×#388C2211yescharacteristic, complemented
90C3×#387C2211yescharacteristic, complemented
91C3×#386C2211yescharacteristic
92C3×#386C2211yescharacteristic, complemented
93C3×#386C2211yescharacteristic, complemented
94C3×#380C2211yescharacteristic, complemented
95#5231C2211yescharacteristic, complemented
96#5230C2211yescharacteristic, complemented
97#5223C2211yescharacteristic
98#5223C2211yescharacteristic, complemented
99#5222C2211yescharacteristic
100#5222C2211yescharacteristic, complemented
101#5213C2211yescharacteristic
102#5213C2211yescharacteristic, complemented
103#5210C2211yescharacteristic, complemented
104#4993C2211yescharacteristic, complemented
105#4992C2211yescharacteristic, complemented
106#4991C2211yescharacteristic, complemented
107#4991C2211yescharacteristic, complemented
108#4990C2211yescharacteristic, complemented
109#4990C2211yescharacteristic, complemented
110#4988C2211yescharacteristic, complemented
111#4980C2211yescharacteristic, complemented
112#4977C2211yescharacteristic, complemented
113#4972C2211yescharacteristic, complemented
114#4961C2211yescharacteristic
115#4961C2211yescharacteristic, complemented
116#4961C2211yescharacteristic, complemented
117#4960C2211yescharacteristic
118#4960C2211yescharacteristic
119#4960C2211yescharacteristic, complemented
120#4960C2211yescharacteristic, complemented
121#4960C2211yescharacteristic, complemented
122#4960C2211yescharacteristic, complemented
123#4960C2211yescharacteristic, complemented
124#4960C2211yescharacteristic, complemented
125#4960C2211yescharacteristic, complemented
126#4959C2211yescharacteristic
127#4959C2211yescharacteristic, complemented
128#4959C2211yescharacteristic, complemented
129#4959C2211yescharacteristic, complemented
130#4959C2211yescharacteristic, complemented
131#4959C2211yescharacteristic, complemented
132#4959C2211yescharacteristic, complemented
133#4957C2211yescharacteristic
134#4957C2211yescharacteristic, complemented
135#4957C2211yescharacteristic, complemented
136#4957C2211yescharacteristic, complemented
137#4956C2211yescharacteristic, complemented
138#4956C2211yescharacteristic, complemented
139#4956C2211yescharacteristic, complemented
140#4956C2211yescharacteristic, complemented
141#4955C2211yescharacteristic
142#4955C2211yescharacteristic, complemented
143#4953C2211yescharacteristic, complemented
144#4949C2211yescharacteristic, complemented
145#4948C2211yescharacteristic, complemented
146#4944C2211yescharacteristic, complemented
147#4939C2211yescharacteristic, complemented
148#4939C2211yescharacteristic, complemented
149C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
150#4676C2211yescharacteristic, complemented
151#4676C2211yescharacteristic, complemented
152#4676C2211yescharacteristic, complemented
153#4674C2211yescharacteristic, complemented
154#4673C2211yescharacteristic, complemented
155#4673C2211yescharacteristic, complemented
156#4672C2211yescharacteristic, complemented
157#4672C2211yescharacteristic, complemented
158#4672C2211yescharacteristic, complemented
159#4672C2211yescharacteristic, complemented
160#4672C2211yescharacteristic, complemented
161#4672C2211yescharacteristic, complemented
162#4671C2211yescharacteristic
163#4671C2211yescharacteristic
164#4671C2211yescharacteristic, complemented
165#4671C2211yescharacteristic, complemented
166#4671C2211yescharacteristic, complemented
167#4670C2211yescharacteristic, complemented
168#4670C2211yescharacteristic, complemented
169#4670C2211yescharacteristic, complemented
170#4670C2211yescharacteristic, complemented
171#4668C2211yescharacteristic, complemented
172#4668C2211yescharacteristic, complemented
173#4667C2211yescharacteristic, complemented
174#4667C2211yescharacteristic, complemented
175#4666C2211yescharacteristic, complemented
176#4665C2211yescharacteristic
177#4665C2211yescharacteristic
178#4665C2211yescharacteristic
179#4665C2211yescharacteristic
180#4665C2211yescharacteristic, complemented
181#4665C2211yescharacteristic, complemented
182#4665C2211yescharacteristic, complemented
183#4665C2211yescharacteristic, complemented
184#4664C2211yescharacteristic, complemented
185D3×#95C2211yescharacteristic, complemented
186#4660C2211yescharacteristic, complemented
187#4650C2211yescharacteristic, complemented
188#4649C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#546—31no—
191C2×#538—31no—
192#2819—31no—
193#2813—31no—
194#2723—31no—
195#2714—31no—
196#2710—31no—
197#2703—31no—
198#2696D311yescharacteristic, complemented
199#2673—31no—
200#2670—31no—
201#2669—31no—
202#2662—31no—
203#2636—31no—
204#2619—31no—
205#2617—31no—
206#2617—31no—
207#2544—31no—
208#2539—31no—
209#2534—31no—
210#2488—31no—
211#2472—31no—
212#2433—31no—
213#2430—31no—
214#2416—31no—
215#2411—31no—
216#2410—31no—
217#2404—31no—
218#2403—31no—
219C2×#394—31no—
220#2352—31no—
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C24×D3C2311yescharacteristic
224C22×C3×Q8C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C23×C3×C4C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C22×#67C2311yescharacteristic
242C2×#239—24no—
243C2×#239—42no—
244C2×#239—42no—
245C2×D3×D4—42no—
246C2×D3×D4—42no—
247C2×D3×D4—42no—
248C22×D12—24no—
249C22×D12—42no—
250C22×D12—42no—
251C22×D12C2311yescharacteristic
252C22×D12C2311yescharacteristic
253C22×D12C2311yescharacteristic
254C22×D12C2311yescharacteristic
255C22×D12C2311yescharacteristic
256C22×D12C2311yescharacteristic
257C22×D12C2311yescharacteristic
258C22×D12C2311yescharacteristic
259C22×D12C2311yescharacteristic
260C22×D12C2311yescharacteristic
261C22×D12C2311yescharacteristic
262C22×D12C2311yescharacteristic
263C22×C4×D3C2311yescharacteristic
264C22×C4×D3C2311yescharacteristic
265C22×C4×D3C2311yescharacteristic
266C22×C4×D3C2311yescharacteristic
267C22×C4×D3C2311yescharacteristic
268C22×C4×D3C2311yescharacteristic
269C22×C4×D3C2311yescharacteristic
270C22×C4×D3C2311yescharacteristic
271C22×Dic6C2311yescharacteristic
272C3×#123—24no—
273C3×C22⋊Q8—24no—
274C2×C3×C4⋊C4C2311yescharacteristic
275C2×C3×C4⋊C4C2311yescharacteristic
276C2×C3×C4⋊C4C2311yescharacteristic
277C2×C3×C4⋊C4C2311yescharacteristic
278C2×C3×C4⋊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×C22⋊C4C2311yescharacteristic
289C2×C3×C22⋊C4C2311yescharacteristic
290C2×C3×C22⋊C4C2311yescharacteristic
291C2×C3×C22⋊C4C2311yescharacteristic
292C2×C3×C42C2311yescharacteristic
293C2×#217C2311yescharacteristic
294C2×#217C2311yescharacteristic
295C2×#217C2311yescharacteristic
296C2×#217C2311yescharacteristic
297C2×#217C2311yescharacteristic
298C2×#217C2311yescharacteristic
299C2×#217C2311yescharacteristic
300C2×#217C2311yescharacteristic
301C2×#217C2311yescharacteristic
302#947—24no—
303#940—42no—
304#940—42no—
305#938—24no—
306#937—24no—
307#937—42no—
308#937—42no—
309#937—42no—
310#930—24no—
311#930—42no—
312C4×#67—24no—
313C4×#67—24no—
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×(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×(C2×D3)⋊C4C2311yescharacteristic
343C2×(C2×D3)⋊C4C2311yescharacteristic
344C2×(C2×D3)⋊C4C2311yescharacteristic
345C2×(C2×D3)⋊C4C2311yescharacteristic
346C2×(C2×D3)⋊C4C2311yescharacteristic
347C2×(C2×D3)⋊C4C2311yescharacteristic
348C2×(C2×D3)⋊C4C2311yescharacteristic
349C2×(C2×D3)⋊C4C2311yescharacteristic
350C2×(C2×D3)⋊C4C2311yescharacteristic
351C2×(C2×D3)⋊C4C2311yescharacteristic
352C2×(C2×D3)⋊C4C2311yescharacteristic
353C2×(C2×D3)⋊C4C2311yescharacteristic
354C2×C4⋊Dic3C2311yescharacteristic
355C2×C4⋊Dic3C2311yescharacteristic
356C2×C4⋊Dic3C2311yescharacteristic
357C2×C4⋊Dic3C2311yescharacteristic
358C2×Dic3⋊C4C2311yescharacteristic
359C2×Dic3⋊C4C2311yescharacteristic
360C2×Dic3⋊C4C2311yescharacteristic
361C2×Dic3⋊C4C2311yescharacteristic
362C2×Dic3⋊C4C2311yescharacteristic
363C2×Dic3⋊C4C2311yescharacteristic
364C2×Dic3⋊C4C2311yescharacteristic
365C2×Dic3⋊C4C2311yescharacteristic
366C2×Dic3⋊C4C2311yescharacteristic
367C2×Dic3⋊C4C2311yescharacteristic
368C2×C4×Dic3C2311yescharacteristic
369C2×C4×Dic3C2311yescharacteristic
370C2×C4×Dic3C2311yescharacteristic
371C2×C4×Dic3C2311yescharacteristic
372C2×C4×Dic3C2311yescharacteristic
373#898—24no—
374#897—24no—
375#895—24no—
376#895—24no—
377#895—24no—
378#894—24no—
379#894—24no—
380#894—24no—
381#893D418yescomplemented
382D3×C4⋊C4—42no—
383#885—24no—
384#885—24no—
385#885—42no—
386#884—24no—
387#884—42no—
388#884—42no—
389#883—42no—
390#882—24no—
391#882—24no—
392#882—24no—
393#882—42no—
394#882—42no—
395#882—42no—
396D3×C22⋊C4—24no—
397D3×C22⋊C4—24no—
398D3×C22⋊C4—24no—
399D3×C22⋊C4—42no—
400D3×C22⋊C4—42no—
401#879—24no—
402#872—42no—
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
423C3⋊#95C2311yescharacteristic
424C3⋊#95C2311yescharacteristic
425C3⋊#95C2311yescharacteristic
426C3⋊#95C2311yescharacteristic
427C3⋊#95C2311yescharacteristic
428C3⋊#95C2311yescharacteristic
429C22×#41—31no—
430C23×D4—31no—
431C23×D4—31no—
432#546—68no—
433#538—68no—
434C2×#127—31no—
435C2×#127—31no—
436C2×#126—31no—
437C2×#126—31no—
438C2×#124—31no—
439C2×#124—31no—
440C2×#124—31no—
441C2×#124—31no—
442C2×#123—31no—
443C2×#123—31no—
444C2×#123—31no—
445C2×#123—31no—
446C2×#123C2×D311yescharacteristic, complemented
447C2×C22⋊Q8—31no—
448C2×C22⋊Q8C2×D311yescharacteristic, complemented
449C2×#121—31no—
450C2×#121—31no—
451C2×#121—31no—
452C2×#121—31no—
453C2×#121—31no—
454C2×#121—31no—
455C2×#121—31no—
456C2×#121—31no—
457C2×#121—31no—
458C2×#120—31no—
459C2×#120—31no—
460C2×#120—31no—
461C2×#120—31no—
462C2×#120—31no—
463C2×#120—31no—
464C2×#120—31no—
465C2×#120—31no—
466C2×#120—31no—
467C2×#120—31no—
468C2×C4×D4—31no—
469C2×C4×D4—31no—
470C2×C4×D4—31no—
471C2×#117—31no—
472C22×C4⋊C4—31no—
473C22×C22⋊C4—31no—
474C22×C22⋊C4—31no—
475C22×C22⋊C4—31no—
476C22×C22⋊C4—31no—
477C22×C22⋊C4—31no—
478#400—31no—
479#400C2×D311yescharacteristic, complemented
480#399—31no—
481#399—31no—
482#397—31no—
483#397—31no—
484#397—31no—
485#397C2×D311yescharacteristic, complemented
486#396—31no—
487#396—31no—
488#396—31no—
489#396—31no—
490#395—31no—
491#394—31no—
492#394—31no—
493#394—31no—
494#394—31no—
495#394—31no—
496#394—31no—
497#394—31no—
498#394—31no—
499#394—31no—
500#394—31no—
501#394—31no—
502#394—31no—
503#394—31no—
504#394—31no—
505#394—31no—
506#394—31no—
507#394—31no—
508#394—31no—
509#394—31no—
510#394—31no—
511#394C2×D311yescharacteristic
512#393—31no—
513#393—31no—
514#393—31no—
515#393C2×D311yescharacteristic, complemented
516#393C2×D311yescharacteristic, complemented
517#392—31no—
518#392—31no—
519#392—31no—
520#392—31no—
521#392—31no—
522#392—31no—
523#392—31no—
524#392—31no—
525#392—31no—
526#392—31no—
527#392—31no—
528#392—31no—
529#392—31no—
530#392—31no—
531#392—31no—
532#392—31no—
533#392C2×D311yescharacteristic
534#391—31no—
535#390—31no—
536#390—31no—
537#390—31no—
538#390—31no—
539#390—31no—
540#390—31no—
541#390—31no—
542#390C2×D311yescharacteristic, complemented
543#389—31no—
544#388—31no—
545#388—31no—
546#388—31no—
547#388—31no—
548#388—31no—
549#388—31no—
550#388—31no—
551#388C2×D311yescharacteristic, complemented
552#387—31no—
553#387C2×D311yescharacteristic, complemented
554#386—31no—
555#386—31no—
556#386—31no—
557#386—31no—
558#386—31no—
559#386—31no—
560#386—31no—
561#386—31no—
562#386—31no—
563#386—31no—
564#386—31no—
565#386—31no—
566#386—31no—
567#386—31no—
568#386C2×D311yescharacteristic
569#386C2×D311yescharacteristic, complemented
570#386C2×D311yescharacteristic, complemented
571#385—31no—
572#385—31no—
573#385—31no—
574#382—31no—
575#382—31no—
576#381—31no—
577#380—31no—
578#380—31no—
579#380C2×D311yescharacteristic, complemented
580#379—31no—
581#379—31no—
582C4×C4⋊C4—31no—
583C4×C22⋊C4—31no—
584C4×C22⋊C4—31no—
585C2×#95—31no—
586C24×C3C2411yescharacteristic
587C24×C3C2411yescharacteristic
588C24×C3C2411yescharacteristic
589C23×D3—22no—
590C23×D3—22no—
591C23×D3—22no—
592C23×D3—22no—
593C23×D3—22no—
594C23×D3—22no—
595C23×D3—22no—
596C23×D3—22no—
597C23×D3—22no—
598C23×D3—41no—
599C23×D3—41no—
600C23×D3—41no—
601C23×D3—41no—
602C23×D3—41no—
603C23×D3—41no—
604C23×D3—41no—
605C23×D3—41no—
606C23×D3—41no—
607C23×D3—41no—
608C23×D3—41no—
609C23×D3—41no—
610C23×D3C2411yescharacteristic
611C23×D3C2411yescharacteristic
612C23×D3C2411yescharacteristic
613C23×D3C2411yescharacteristic
614C23×D3C2411yescharacteristic
615C23×D3C2411yescharacteristic
616C2×C3×Q8—22no—
617C2×C3×Q8—41no—
618C2×C3×Q8—41no—
619C2×C3×D4—22no—
620C2×C3×D4—22no—
621C2×C3×D4—22no—
622C2×C3×D4—41no—
623C2×C3×D4—41no—
624C2×C3×D4—41no—
625C2×C3×D4—41no—
626C2×C3×D4—41no—
627C2×C3×D4—41no—
628C22×C3×C4—22no—
629C22×C3×C4—22no—
630C22×C3×C4—41no—
631C22×C3×C4—41no—
632C22×C3×C4—41no—
633C22×C3×C4—41no—
634C22×C3×C4C2411yescharacteristic
635C22×C3×C4C2411yescharacteristic
636C22×C3×C4C2411yescharacteristic
637C22×C3×C4C2411yescharacteristic
638C22×C3×C4C2411yescharacteristic
639C22×C3×C4C2411yescharacteristic
640C22×C3×C4C2411yescharacteristic
641C22×C3×C4C2411yescharacteristic
642C22×C3×C4C2411yescharacteristic
643C22×C3×C4C2411yescharacteristic
644C22×C3×C4C2411yescharacteristic
645C22×C3×C4C2411yescharacteristic
646C2×#67—22no—
647C2×#67—22no—
648C2×#67—22no—
649C2×#67—22no—
650C2×#67—22no—
651C2×#67—22no—
652C2×#67—22no—
653C2×#67—22no—
654C2×#67—22no—
655C2×#67—22no—
656C2×#67—22no—
657C2×#67—22no—
658C2×#67—41no—
659C2×#67—41no—
660C2×#67—41no—
661C2×#67—41no—
662C2×#67—41no—
663C2×#67—41no—
664C2×#67—41no—
665C2×#67—41no—
666C2×#67—41no—
667C2×#67—41no—
668C2×#67—41no—
669C2×#67—41no—
670C2×#67—41no—
671C2×#67—41no—
672C2×#67—41no—
673C2×#67—41no—
674C2×#67—41no—
675C2×#67—41no—
676C2×#67—41no—
677C2×#67—41no—
678C2×#67—41no—
679C2×#67—41no—
680C2×#67—41no—
681C2×#67—41no—
682C22×Dic3C2411yescharacteristic
683C22×Dic3C2411yescharacteristic
684C22×Dic3C2411yescharacteristic
685C22×Dic3C2411yescharacteristic
686C22×Dic3C2411yescharacteristic
687C22×Dic3C2411yescharacteristic
688C22×Dic3C2411yescharacteristic
689C22×Dic3C2411yescharacteristic
690C22×Dic3C2411yescharacteristic
691C22×Dic3C2411yescharacteristic
692#239—416no—
693D3×D4—416no—
694C2×D12—22no—
695C2×D12—22no—
696C2×D12—22no—
697C2×D12—22no—
698C2×D12—22no—
699C2×D12—22no—
700C2×D12—22no—
701C2×D12—22no—
702C2×D12—22no—
703C2×D12—22no—
704C2×D12—22no—
705C2×D12—22no—
706C2×D12—22no—
707C2×D12—22no—
708C2×D12—416no—
709C2×D12—41no—
710C2×D12—41no—
711C2×D12—41no—
712C2×D12—41no—
713C2×D12—41no—
714C2×D12—41no—
715C2×D12—41no—
716C2×D12—41no—
717C2×D12—41no—
718C2×D12—41no—
719C2×D12—41no—
720C2×D12—41no—
721C2×D12—41no—
722C2×D12—41no—
723C2×D12—41no—
724C2×D12—41no—
725C2×D12—41no—
726C2×D12—41no—
727C2×D12—41no—
728C2×D12—41no—
729C2×D12—41no—
730C2×D12C2×D414yes—
731C2×C4×D3—22no—
732C2×C4×D3—22no—
733C2×C4×D3—22no—
734C2×C4×D3—22no—
735C2×C4×D3—22no—
736C2×C4×D3—22no—
737C2×C4×D3—22no—
738C2×C4×D3—22no—
739C2×C4×D3—22no—
740C2×C4×D3—41no—
741C2×C4×D3—41no—
742C2×C4×D3—41no—
743C2×C4×D3—41no—
744C2×C4×D3—41no—
745C2×C4×D3—41no—
746C2×C4×D3—41no—
747C2×C4×D3—41no—
748C2×C4×D3—41no—
749C2×C4×D3—41no—
750C2×C4×D3—41no—
751C2×C4×D3—41no—
752C2×C4×D3—41no—
753C2×C4×D3C2×D414yes—
754C2×C4×D3C2×D414yescomplemented
755C2×Dic6—22no—
756C2×Dic6—41no—
757C2×Dic6—41no—
758C3×C4⋊C4—22no—
759C3×C4⋊C4—22no—
760C3×C4⋊C4—22no—
761C3×C4⋊C4—41no—
762C3×C4⋊C4C2×D414yescomplemented
763C3×C22⋊C4—22no—
764C3×C22⋊C4—22no—
765C3×C22⋊C4—22no—
766C3×C22⋊C4—22no—
767C3×C22⋊C4—22no—
768C3×C22⋊C4—22no—
769C3×C22⋊C4—41no—
770C3×C22⋊C4—41no—
771C3×C22⋊C4—41no—
772C3×C22⋊C4—41no—
773C3×C22⋊C4—41no—
774C3×C22⋊C4—41no—
775C3×C22⋊C4—41no—
776C3×C42—41no—
777#217—22no—
778#217—22no—
779#217—22no—
780#217—22no—
781#217—22no—
782#217—22no—
783#217—41no—
784#217—41no—
785#217—41no—
786(C2×D3)⋊C4—22no—
787(C2×D3)⋊C4—22no—
788(C2×D3)⋊C4—22no—
789(C2×D3)⋊C4—22no—
790(C2×D3)⋊C4—22no—
791(C2×D3)⋊C4—22no—
792(C2×D3)⋊C4—22no—
793(C2×D3)⋊C4—22no—
794(C2×D3)⋊C4—22no—
795(C2×D3)⋊C4—22no—
796(C2×D3)⋊C4—22no—
797(C2×D3)⋊C4—22no—
798(C2×D3)⋊C4—22no—
799(C2×D3)⋊C4—22no—
800(C2×D3)⋊C4—22no—
801(C2×D3)⋊C4—22no—
802(C2×D3)⋊C4—22no—
803(C2×D3)⋊C4—41no—
804(C2×D3)⋊C4—41no—
805(C2×D3)⋊C4—41no—
806(C2×D3)⋊C4—41no—
807(C2×D3)⋊C4—41no—
808(C2×D3)⋊C4—41no—
809(C2×D3)⋊C4—41no—
810(C2×D3)⋊C4—41no—
811(C2×D3)⋊C4—41no—
812(C2×D3)⋊C4—41no—
813(C2×D3)⋊C4—41no—
814(C2×D3)⋊C4—41no—
815(C2×D3)⋊C4—41no—
816(C2×D3)⋊C4—41no—
817(C2×D3)⋊C4—41no—
818(C2×D3)⋊C4—41no—
819(C2×D3)⋊C4—41no—
820(C2×D3)⋊C4—41no—
821(C2×D3)⋊C4—41no—
822(C2×D3)⋊C4—41no—
823(C2×D3)⋊C4—41no—
824(C2×D3)⋊C4C2×D414yes—
825(C2×D3)⋊C4C2×D414yescomplemented
826C4⋊Dic3—22no—
827C4⋊Dic3—22no—
828C4⋊Dic3—22no—
829C4⋊Dic3—41no—
830Dic3⋊C4—22no—
831Dic3⋊C4—22no—
832Dic3⋊C4—22no—
833Dic3⋊C4—22no—
834Dic3⋊C4—41no—
835Dic3⋊C4—41no—
836Dic3⋊C4—41no—
837Dic3⋊C4—41no—
838Dic3⋊C4—41no—
839Dic3⋊C4—41no—
840C4×Dic3—22no—
841C4×Dic3—22no—
842C4×Dic3—41no—
843C4×Dic3—41no—
844C4×Dic3C2×D414yescomplemented
845C25—31no—
846C25—31no—
847C25—31no—
848C2×#41—64no—
849C2×#41—122no—
850C2×#41—122no—
851C22×Q8—31no—
852C22×Q8C22×D311yescharacteristic
853C22×D4—31no—
854C22×D4—31no—
855C22×D4—31no—
856C22×D4—31no—
857C22×D4—31no—
858C22×D4—31no—
859C22×D4—31no—
860C22×D4—31no—
861C22×D4—31no—
862C22×D4—31no—
863C22×D4—31no—
864C22×D4—31no—
865C22×D4—31no—
866C22×D4—31no—
867C22×D4—31no—
868C22×D4—31no—
869C22×D4—31no—
870C22×D4—31no—
871C22×D4—31no—
872C22×D4—31no—
873C22×D4—31no—
874C22×D4—31no—
875C22×D4—31no—
876C22×D4—31no—
877C22×D4—64no—
878C22×D4—122no—
879C22×D4—122no—
880C22×D4—122no—
881C22×D4—122no—
882C22×D4—122no—
883C22×D4C22×D311yescharacteristic
884C22×D4C22×D311yescharacteristic
885C22×D4C22×D311yescharacteristic
886C23×C4—31no—
887C23×C4—31no—
888C23×C4—31no—
889C23×C4—31no—
890C23×C4—31no—
891C23×C4—31no—
892C23×C4—31no—
893C23×C4—31no—
894C23×C4C22×D311yescharacteristic
895C23×C4C22×D311yescharacteristic
896#127—122no—
897#127—122no—
898#126—64no—
899#126—64no—
900#124—64no—
901#124—64no—
902#124—64no—
903#124—122no—
904#123—24no—
905#123—64no—
906#123—64no—
907#123—64no—
908#123—122no—
909C22⋊Q8—24no—
910C22⋊Q8—64no—
911#121—64no—
912#121—64no—
913#121—64no—
914#121—64no—
915#121—64no—
916#121—64no—
917#121—122no—
918#121—122no—
919#121—122no—
920#120—64no—
921#120—64no—
922#120—64no—
923#120—64no—
924#120—122no—
925#120—122no—
926#120—122no—
927#120—122no—
928#120—122no—
929#120—122no—
930C4×D4—38no—
931C4×D4—64no—
932C4×D4—64no—
933#117—122no—
934C2×C4⋊C4—31no—
935C2×C4⋊C4—31no—
936C2×C4⋊C4—31no—
937C2×C4⋊C4—31no—
938C2×C4⋊C4—31no—
939C2×C4⋊C4—31no—
940C2×C4⋊C4—31no—
941C2×C4⋊C4—31no—
942C2×C4⋊C4—31no—
943C2×C4⋊C4—31no—
944C2×C4⋊C4—31no—
945C2×C4⋊C4—31no—
946C2×C4⋊C4—31no—
947C2×C4⋊C4—31no—
948C2×C4⋊C4—122no—
949C2×C4⋊C4C22×D311yescharacteristic
950C2×C4⋊C4C22×D311yescharacteristic
951C2×C4⋊C4C22×D311yescharacteristic
952C2×C4⋊C4C22×D311yescharacteristic
953C2×C4⋊C4C22×D311yescharacteristic
954C2×C22⋊C4—31no—
955C2×C22⋊C4—31no—
956C2×C22⋊C4—31no—
957C2×C22⋊C4—31no—
958C2×C22⋊C4—31no—
959C2×C22⋊C4—31no—
960C2×C22⋊C4—31no—
961C2×C22⋊C4—31no—
962C2×C22⋊C4—31no—
963C2×C22⋊C4—31no—
964C2×C22⋊C4—31no—
965C2×C22⋊C4—31no—
966C2×C22⋊C4—31no—
967C2×C22⋊C4—31no—
968C2×C22⋊C4—31no—
969C2×C22⋊C4—31no—
970C2×C22⋊C4—31no—
971C2×C22⋊C4—31no—
972C2×C22⋊C4—31no—
973C2×C22⋊C4—31no—
974C2×C22⋊C4—31no—
975C2×C22⋊C4—31no—
976C2×C22⋊C4—31no—
977C2×C22⋊C4—31no—
978C2×C22⋊C4—31no—
979C2×C22⋊C4—31no—
980C2×C22⋊C4—31no—
981C2×C22⋊C4—31no—
982C2×C22⋊C4—31no—
983C2×C22⋊C4—31no—
984C2×C22⋊C4—31no—
985C2×C22⋊C4—31no—
986C2×C22⋊C4—31no—
987C2×C22⋊C4—31no—
988C2×C22⋊C4—31no—
989C2×C22⋊C4—31no—
990C2×C22⋊C4—31no—
991C2×C22⋊C4—31no—
992C2×C22⋊C4—31no—
993C2×C22⋊C4—31no—
994C2×C22⋊C4—31no—
995C2×C22⋊C4—31no—
996C2×C22⋊C4—31no—
997C2×C22⋊C4—31no—
998C2×C22⋊C4—31no—
999C2×C22⋊C4—31no—
1000C2×C22⋊C4—31no—
1001C2×C22⋊C4—31no—
1002C2×C22⋊C4—31no—
1003C2×C22⋊C4—64no—
1004C2×C22⋊C4—64no—
1005C2×C22⋊C4—64no—
1006C2×C22⋊C4—122no—
1007C2×C22⋊C4—122no—
1008C2×C22⋊C4C22×D311yescharacteristic
1009C2×C22⋊C4C22×D311yescharacteristic
1010C2×C22⋊C4C22×D311yescharacteristic
1011C2×C22⋊C4C22×D311yescharacteristic
1012C2×C22⋊C4C22×D311yescharacteristic
1013C2×C22⋊C4C22×D311yescharacteristic
1014C2×C22⋊C4C22×D311yescharacteristic
1015C2×C22⋊C4C22×D311yescharacteristic
1016C2×C22⋊C4C22×D311yescharacteristic
1017C2×C22⋊C4C22×D311yescharacteristic
1018C2×C22⋊C4C22×D311yescharacteristic
1019C2×C22⋊C4C22×D311yescharacteristic
1020C2×C22⋊C4C22×D311yescharacteristic
1021C2×C42—31no—
1022C2×C42—31no—
1023C2×C42—31no—
1024C2×C42—31no—
1025C2×C42—31no—
1026C2×C42C22×D311yescharacteristic
1027#95—31no—
1028#95—31no—
1029#95—31no—
1030#95—31no—
1031#95—31no—
1032#95—31no—
1033#95—31no—
1034#95—31no—
1035#95—31no—
1036#95—31no—
1037#95—31no—
1038#95—31no—
1039#95—31no—
1040#95—31no—
1041#95—31no—
1042#95—31no—
1043#95C22×D311yescharacteristic
1044#95C22×D311yescharacteristic
1045#95C22×D311yescharacteristic
1046#95C22×D311yescharacteristic
1047#95C22×D311yescharacteristic
1048#95C22×D311yescharacteristic
1049#95C22×D311yescharacteristic
1050#95C22×D311yescharacteristic
1051#95C22×D311yescharacteristic
1052#95C22×D311yescharacteristic
1053C23×C3—21no—
1054C23×C3—21no—
1055C23×C3—21no—
1056C23×C3—21no—
1057C23×C3—21no—
1058C23×C3—21no—
1059C23×C3—21no—
1060C23×C3—21no—
1061C23×C3—21no—
1062C23×C3—21no—
1063C23×C3—21no—
1064C23×C3—21no—
1065C23×C3—21no—
1066C23×C3—21no—
1067C23×C3—21no—
1068C23×C3—21no—
1069C23×C3—21no—
1070C23×C3—21no—
1071C23×C3—21no—
1072C23×C3—21no—
1073C23×C3H(5,𝔽2)12yes—
1074C23×C3C2511yescharacteristic
1075C22×D3—21no—
1076C22×D3—21no—
1077C22×D3—21no—
1078C22×D3—21no—
1079C22×D3—21no—
1080C22×D3—21no—
1081C22×D3—21no—
1082C22×D3—21no—
1083C22×D3—21no—
1084C22×D3—21no—
1085C22×D3—21no—
1086C22×D3—21no—
1087C22×D3—21no—
1088C22×D3—21no—
1089C22×D3—21no—
1090C22×D3—21no—
1091C22×D3—21no—
1092C22×D3—21no—
1093C22×D3—21no—
1094C22×D3—21no—
1095C22×D3—21no—
1096C22×D3—21no—
1097C22×D3—21no—
1098C22×D3—21no—
1099C22×D3—21no—
1100C22×D3—21no—
1101C22×D3—21no—
1102C22×D3—21no—
1103C22×D3—21no—
1104C22×D3—21no—
1105C22×D3—21no—
1106C22×D3—21no—
1107C22×D3—21no—
1108C22×D3—21no—
1109C22×D3—21no—
1110C22×D3—21no—
1111C22×D3—21no—
1112C22×D3—21no—
1113C22×D3—44no—
1114C22×D3—44no—
1115C22×D3—44no—
1116C22×D3—44no—
1117C22×D3—44no—
1118C22×D3—44no—
1119C22×D3—44no—
1120C22×D3—44no—
1121C22×D3—44no—
1122C22×D3—82no—
1123C22×D3—82no—
1124C22×D3—82no—
1125C22×D3—82no—
1126C22×D3—82no—
1127C22×D3—82no—
1128C22×D3—82no—
1129C22×D3—82no—
1130C22×D3—82no—
1131C22×D3—82no—
1132C22×D3—82no—
1133C22×D3—82no—
1134C22×D3C22×D412yes—
1135C22×D3C22×D412yes—
1136C22×D3H(5,𝔽2)12yes—
1137C22×D3H(5,𝔽2)12yes—
1138C3×Q8—44no—
1139C3×D4—44no—
1140C3×D4—82no—
1141C3×D4—82no—
1142C2×C3×C4—21no—
1143C2×C3×C4—21no—
1144C2×C3×C4—21no—
1145C2×C3×C4—21no—
1146C2×C3×C4—21no—
1147C2×C3×C4—21no—
1148C2×C3×C4—21no—
1149C2×C3×C4—21no—
1150C2×C3×C4—21no—
1151C2×C3×C4—21no—
1152C2×C3×C4—21no—
1153C2×C3×C4—21no—
1154C2×C3×C4—21no—
1155C2×C3×C4—21no—
1156C2×C3×C4—21no—
1157C2×C3×C4—21no—
1158C2×C3×C4—21no—
1159C2×C3×C4—21no—
1160C2×C3×C4—21no—
1161C2×C3×C4—21no—
1162C2×C3×C4—21no—
1163C2×C3×C4—21no—
1164C2×C3×C4—21no—
1165C2×C3×C4—21no—
1166C2×C3×C4—21no—
1167C2×C3×C4—21no—
1168C2×C3×C4—21no—
1169C2×C3×C4—21no—
1170C2×C3×C4—21no—
1171C2×C3×C4—21no—
1172C2×C3×C4—21no—
1173C2×C3×C4—21no—
1174C2×C3×C4—21no—
1175C2×C3×C4—44no—
1176C2×C3×C4—82no—
1177C2×C3×C4C22×D412yes—
1178C2×C3×C4C22×D412yes—
1179C2×C3×C4C22×D412yes—
1180#67—44no—
1181#67—44no—
1182#67—44no—
1183#67—44no—
1184#67—82no—
1185#67—82no—
1186#67—82no—
1187#67—82no—
1188#67—82no—
1189#67—82no—
1190#67—82no—
1191#67—82no—
1192C2×Dic3—21no—
1193C2×Dic3—21no—
1194C2×Dic3—21no—
1195C2×Dic3—21no—
1196C2×Dic3—21no—
1197C2×Dic3—21no—
1198C2×Dic3—21no—
1199C2×Dic3—21no—
1200C2×Dic3—21no—
1201C2×Dic3—21no—
1202C2×Dic3—21no—
1203C2×Dic3—21no—
1204C2×Dic3—21no—
1205C2×Dic3—21no—
1206C2×Dic3—21no—
1207C2×Dic3—21no—
1208C2×Dic3—21no—
1209C2×Dic3—21no—
1210C2×Dic3—21no—
1211C2×Dic3—21no—
1212C2×Dic3—21no—
1213C2×Dic3—21no—
1214C2×Dic3—21no—
1215C2×Dic3—21no—
1216C2×Dic3—21no—
1217C2×Dic3—21no—
1218C2×Dic3—21no—
1219C2×Dic3C22×D412yes—
1220C2×Dic3C22×D412yes—
1221C2×Dic3H(5,𝔽2)12yes—
1222D12—28no—
1223D12—44no—
1224D12—44no—
1225D12—44no—
1226D12—44no—
1227D12—44no—
1228D12—44no—
1229D12—82no—
1230D12—82no—
1231D12—82no—
1232D12—82no—
1233D12—82no—
1234C4×D3—44no—
1235C4×D3—44no—
1236C4×D3—44no—
1237C4×D3—44no—
1238C4×D3—44no—
1239C4×D3—44no—
1240C4×D3—82no—
1241C4×D3—82no—
1242Dic6—82no—
1243C24—31no—
1244C24—31no—
1245C24—31no—
1246C24—31no—
1247C24—31no—
1248C24—31no—
1249C24—62no—
1250C24—62no—
1251C24—62no—
1252C24—62no—
1253C24—62no—
1254C24—62no—
1255C24—62no—
1256C24—62no—
1257C24—62no—
1258C24—121no—
1259C24—121no—
1260C24—121no—
1261C24—121no—
1262C24—121no—
1263C24—121no—
1264C24—121no—
1265C24—121no—
1266C24—121no—
1267C24—121no—
1268C24—121no—
1269C24—121no—
1270C24C23×D311yescharacteristic
1271C24C23×D311yescharacteristic
1272C24C23×D311yescharacteristic
1273#41—1216no—
1274C2×Q8—22no—
1275C2×Q8—41no—
1276C2×Q8—41no—
1277C2×Q8—62no—
1278C2×Q8—121no—
1279C2×Q8—121no—
1280C2×D4—22no—
1281C2×D4—22no—
1282C2×D4—22no—
1283C2×D4—34no—
1284C2×D4—41no—
1285C2×D4—41no—
1286C2×D4—41no—
1287C2×D4—41no—
1288C2×D4—41no—
1289C2×D4—41no—
1290C2×D4—62no—
1291C2×D4—62no—
1292C2×D4—62no—
1293C2×D4—62no—
1294C2×D4—62no—
1295C2×D4—62no—
1296C2×D4—62no—
1297C2×D4—62no—
1298C2×D4—62no—
1299C2×D4—62no—
1300C2×D4—62no—
1301C2×D4—62no—
1302C2×D4—62no—
1303C2×D4—62no—
1304C2×D4—62no—
1305C2×D4—62no—
1306C2×D4—62no—
1307C2×D4—62no—
1308C2×D4—62no—
1309C2×D4—62no—
1310C2×D4—62no—
1311C2×D4—62no—
1312C2×D4—62no—
1313C2×D4—62no—
1314C2×D4—62no—
1315C2×D4—62no—
1316C2×D4—121no—
1317C2×D4—121no—
1318C2×D4—121no—
1319C2×D4—121no—
1320C2×D4—121no—
1321C2×D4—121no—
1322C2×D4—121no—
1323C2×D4—121no—
1324C2×D4—121no—
1325C2×D4—121no—
1326C2×D4—121no—
1327C2×D4—121no—
1328C2×D4—121no—
1329C2×D4—121no—
1330C2×D4—121no—
1331C2×D4—121no—
1332C2×D4—121no—
1333C2×D4—121no—
1334C2×D4—121no—
1335C2×D4—121no—
1336C2×D4—121no—
1337C2×D4—1216no—
1338C2×D4—121no—
1339C2×D4—121no—
1340C2×D4—121no—
1341C2×D4—121no—
1342C2×D4—121no—
1343C2×D4—121no—
1344C2×D4—121no—
1345C2×D4—121no—
1346C2×D4—121no—
1347C2×D4—121no—
1348C2×D4—121no—
1349C2×D4—121no—
1350C2×D4—121no—
1351C2×D4—121no—
1352C2×D4—121no—
1353C2×D4—121no—
1354C2×D4—121no—
1355C2×D4—121no—
1356C2×D4—121no—
1357C2×D4—121no—
1358C2×D4—121no—
1359C2×D4—121no—
1360C2×D4—121no—
1361C2×D4—121no—
1362C2×D4—1216no—
1363C22×C4—22no—
1364C22×C4—22no—
1365C22×C4—31no—
1366C22×C4—31no—
1367C22×C4—31no—
1368C22×C4—34no—
1369C22×C4—34no—
1370C22×C4—31no—
1371C22×C4—31no—
1372C22×C4—31no—
1373C22×C4—31no—
1374C22×C4—31no—
1375C22×C4—31no—
1376C22×C4—31no—
1377C22×C4—41no—
1378C22×C4—41no—
1379C22×C4—41no—
1380C22×C4—41no—
1381C22×C4—62no—
1382C22×C4—62no—
1383C22×C4—62no—
1384C22×C4—62no—
1385C22×C4—62no—
1386C22×C4—62no—
1387C22×C4—62no—
1388C22×C4—62no—
1389C22×C4—62no—
1390C22×C4—121no—
1391C22×C4—121no—
1392C22×C4—121no—
1393C22×C4—121no—
1394C22×C4—121no—
1395C22×C4—121no—
1396C22×C4—121no—
1397C22×C4—121no—
1398C22×C4—121no—
1399C22×C4—121no—
1400C22×C4—121no—
1401C22×C4—121no—
1402C22×C4—121no—
1403C22×C4C23×D311yescharacteristic
1404C22×C4C23×D311yescharacteristic
1405C22×C4C23×D311yescharacteristic
1406C22×C4C23×D311yescharacteristic
1407C22×C4C23×D311yescharacteristic
1408C22×C4C23×D311yescharacteristic
1409C22×C4C23×D311yescharacteristic
1410C22×C4C23×D311yescharacteristic
1411C22×C4C23×D311yescharacteristic
1412C22×C4C23×D311yescharacteristic
1413C22×C4C23×D311yescharacteristic
1414C22×C4C23×D311yescharacteristic
1415C4⋊C4—22no—
1416C4⋊C4—22no—
1417C4⋊C4—22no—
1418C4⋊C4—41no—
1419C4⋊C4—62no—
1420C4⋊C4—62no—
1421C4⋊C4—62no—
1422C4⋊C4—62no—
1423C4⋊C4—62no—
1424C4⋊C4—62no—
1425C4⋊C4—62no—
1426C4⋊C4—121no—
1427C4⋊C4—121no—
1428C4⋊C4—121no—
1429C4⋊C4—121no—
1430C4⋊C4—121no—
1431C4⋊C4—121no—
1432C4⋊C4—121no—
1433C4⋊C4D3×D414yescomplemented
1434C22⋊C4—22no—
1435C22⋊C4—22no—
1436C22⋊C4—22no—
1437C22⋊C4—22no—
1438C22⋊C4—22no—
1439C22⋊C4—22no—
1440C22⋊C4—34no—
1441C22⋊C4—34no—
1442C22⋊C4—41no—
1443C22⋊C4—41no—
1444C22⋊C4—41no—
1445C22⋊C4—41no—
1446C22⋊C4—41no—
1447C22⋊C4—41no—
1448C22⋊C4—41no—
1449C22⋊C4—62no—
1450C22⋊C4—62no—
1451C22⋊C4—62no—
1452C22⋊C4—62no—
1453C22⋊C4—62no—
1454C22⋊C4—62no—
1455C22⋊C4—62no—
1456C22⋊C4—62no—
1457C22⋊C4—62no—
1458C22⋊C4—62no—
1459C22⋊C4—62no—
1460C22⋊C4—62no—
1461C22⋊C4—62no—
1462C22⋊C4—62no—
1463C22⋊C4—62no—
1464C22⋊C4—62no—
1465C22⋊C4—62no—
1466C22⋊C4—62no—
1467C22⋊C4—62no—
1468C22⋊C4—62no—
1469C22⋊C4—62no—
1470C22⋊C4—62no—
1471C22⋊C4—62no—
1472C22⋊C4—121no—
1473C22⋊C4—121no—
1474C22⋊C4—121no—
1475C22⋊C4—121no—
1476C22⋊C4—121no—
1477C22⋊C4—121no—
1478C22⋊C4—121no—
1479C22⋊C4—121no—
1480C22⋊C4—121no—
1481C22⋊C4—121no—
1482C22⋊C4—121no—
1483C22⋊C4—121no—
1484C22⋊C4—121no—
1485C22⋊C4—121no—
1486C22⋊C4—121no—
1487C22⋊C4—121no—
1488C22⋊C4—121no—
1489C22⋊C4—121no—
1490C22⋊C4—121no—
1491C22⋊C4—121no—
1492C22⋊C4—121no—
1493C22⋊C4—121no—
1494C22⋊C4—121no—
1495C22⋊C4—121no—
1496C42—34no—
1497C42—41no—
1498C42—62no—
1499C42—62no—
1500C42—121no—
1501C42—121no—
1502C22×C3—22no—
1503C22×C3—22no—
1504C22×C3—22no—
1505C22×C3—41no—
1506C22×C3—41no—
1507C22×C3—41no—
1508C22×C3—41no—
1509C22×C3—41no—
1510C22×C3—41no—
1511C22×C3—41no—
1512C22×C3—41no—
1513C22×C3—41no—
1514C22×C3—41no—
1515C22×C3—41no—
1516C22×C3—41no—
1517C22×C3—41no—
1518C22×C3—41no—
1519C22×C3—41no—
1520C22×C3—41no—
1521C22×C3—41no—
1522C22×C3—41no—
1523C22×C3C23×D411yescharacteristic
1524C22×C3C2×H(5,𝔽2)11yescharacteristic
1525C22×C3C2×H(5,𝔽2)11yescharacteristic
1526C22×C3C2×H(5,𝔽2)11yescharacteristic
1527C22×C3C2×H(5,𝔽2)11yescharacteristic
1528C22×C3#58511yescharacteristic
1529C22×C3#58511yescharacteristic
1530C2×D3—22no—
1531C2×D3—22no—
1532C2×D3—22no—
1533C2×D3—22no—
1534C2×D3—22no—
1535C2×D3—22no—
1536C2×D3—22no—
1537C2×D3—22no—
1538C2×D3—22no—
1539C2×D3—41no—
1540C2×D3—41no—
1541C2×D3—41no—
1542C2×D3—41no—
1543C2×D3—41no—
1544C2×D3—41no—
1545C2×D3—41no—
1546C2×D3—41no—
1547C2×D3—41no—
1548C2×D3—41no—
1549C2×D3—41no—
1550C2×D3—41no—
1551C2×D3—41no—
1552C2×D3—41no—
1553C2×D3—41no—
1554C2×D3—41no—
1555C2×D3—41no—
1556C2×D3—41no—
1557C2×D3—41no—
1558C2×D3—41no—
1559C2×D3—41no—
1560C2×D3—41no—
1561C2×D3—41no—
1562C2×D3—41no—
1563C2×D3—41no—
1564C2×D3—41no—
1565C2×D3—41no—
1566C2×D3—41no—
1567C2×D3—41no—
1568C2×D3—41no—
1569C2×D3—41no—
1570C2×D3—41no—
1571C2×D3—88no—
1572C2×D3—88no—
1573C2×D3—88no—
1574C2×D3#53514yes—
1575C3×C4—22no—
1576C3×C4—22no—
1577C3×C4—22no—
1578C3×C4—41no—
1579C3×C4—41no—
1580C3×C4—41no—
1581C3×C4—41no—
1582C3×C4—41no—
1583C3×C4—41no—
1584C3×C4—41no—
1585C3×C4—41no—
1586C3×C4—41no—
1587Dic3—22no—
1588Dic3—22no—
1589Dic3—22no—
1590Dic3—41no—
1591Dic3—41no—
1592Dic3—41no—
1593Dic3—41no—
1594Dic3—41no—
1595Dic3—41no—
1596Dic3—41no—
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—21no—
1607C23—21no—
1608C23—21no—
1609C23—21no—
1610C23—21no—
1611C23—21no—
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—21no—
1616C23—21no—
1617C23—32no—
1618C23—32no—
1619C23—32no—
1620C23—32no—
1621C23—61no—
1622C23—61no—
1623C23—61no—
1624C23—61no—
1625C23—61no—
1626C23—61no—
1627C23—61no—
1628C23—61no—
1629C23—61no—
1630C23—61no—
1631C23—61no—
1632C23—61no—
1633C23—61no—
1634C23—61no—
1635C23—61no—
1636C23—61no—
1637C23—61no—
1638C23—61no—
1639C23—61no—
1640C23—61no—
1641C23—61no—
1642C23—61no—
1643C23—61no—
1644C23—61no—
1645C23—61no—
1646C23—61no—
1647C23—61no—
1648C23—61no—
1649C23—61no—
1650C23—61no—
1651C23—61no—
1652C23—61no—
1653C23—61no—
1654C23—61no—
1655C23—61no—
1656C23—61no—
1657C23—61no—
1658C23—61no—
1659C23—124no—
1660C23—124no—
1661C23—124no—
1662C23—124no—
1663C23—124no—
1664C23—124no—
1665C23—124no—
1666C23—124no—
1667C23—124no—
1668C23—242no—
1669C23—242no—
1670C23—242no—
1671C23—242no—
1672C23—242no—
1673C23—242no—
1674C23—242no—
1675C23—242no—
1676C23—242no—
1677C23—242no—
1678C23—242no—
1679C23—242no—
1680C23#100912yes—
1681C23C24×D311yescharacteristic
1682Q8—44no—
1683Q8—242no—
1684D4—44no—
1685D4—68no—
1686D4—82no—
1687D4—82no—
1688D4—124no—
1689D4—124no—
1690D4—124no—
1691D4—124no—
1692D4—124no—
1693D4—124no—
1694D4—124no—
1695D4—124no—
1696D4—124no—
1697D4—124no—
1698D4—242no—
1699D4—242no—
1700D4—242no—
1701D4—242no—
1702D4—242no—
1703D4—242no—
1704D4—242no—
1705D4—242no—
1706D4—242no—
1707D4—242no—
1708D4—242no—
1709D4—242no—
1710D4—242no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—32no—
1745C2×C4—32no—
1746C2×C4—32no—
1747C2×C4—44no—
1748C2×C4—61no—
1749C2×C4—61no—
1750C2×C4—61no—
1751C2×C4—61no—
1752C2×C4—61no—
1753C2×C4—61no—
1754C2×C4—61no—
1755C2×C4—61no—
1756C2×C4—61no—
1757C2×C4—61no—
1758C2×C4—61no—
1759C2×C4—61no—
1760C2×C4—61no—
1761C2×C4—61no—
1762C2×C4—61no—
1763C2×C4—61no—
1764C2×C4—61no—
1765C2×C4—61no—
1766C2×C4—61no—
1767C2×C4—61no—
1768C2×C4—61no—
1769C2×C4—61no—
1770C2×C4—61no—
1771C2×C4—61no—
1772C2×C4—61no—
1773C2×C4—61no—
1774C2×C4—61no—
1775C2×C4—82no—
1776C2×C4—124no—
1777C2×C4—124no—
1778C2×C4—124no—
1779C2×C4—124no—
1780C2×C4—124no—
1781C2×C4—124no—
1782C2×C4—242no—
1783C2×C4—242no—
1784C2×C4C2×D3×D412yes—
1785C2×C4C2×D3×D412yes—
1786C2×C4C2×D3×D412yes—
1787C2×C3—42no—
1788C2×C3—81no—
1789C2×C3—81no—
1790C2×C3C2×#53511yescharacteristic
1791C2×C3#348811yescharacteristic
1792C2×C3#349611yescharacteristic
1793C2×C3#353211yescharacteristic
1794C2×C3#353311yescharacteristic
1795C2×C3#353411yescharacteristic
1796C2×C3#355811yescharacteristic
1797D3—24no—
1798D3—42no—
1799D3—81no—
1800D3—81no—
1801D3—81no—
1802D3—81no—
1803C22—22no—
1804C22—22no—
1805C22—22no—
1806C22—34no—
1807C22—41no—
1808C22—41no—
1809C22—41no—
1810C22—41no—
1811C22—41no—
1812C22—41no—
1813C22—41no—
1814C22—41no—
1815C22—41no—
1816C22—41no—
1817C22—41no—
1818C22—41no—
1819C22—41no—
1820C22—41no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—62no—
1826C22—62no—
1827C22—62no—
1828C22—62no—
1829C22—62no—
1830C22—62no—
1831C22—62no—
1832C22—62no—
1833C22—62no—
1834C22—121no—
1835C22—121no—
1836C22—121no—
1837C22—121no—
1838C22—121no—
1839C22—121no—
1840C22—121no—
1841C22—121no—
1842C22—121no—
1843C22—121no—
1844C22—121no—
1845C22—121no—
1846C22—121no—
1847C22—121no—
1848C22—121no—
1849C22—121no—
1850C22—121no—
1851C22—121no—
1852C22—121no—
1853C22—121no—
1854C22—121no—
1855C22—121no—
1856C22—121no—
1857C22—121no—
1858C22—121no—
1859C22—121no—
1860C22—121no—
1861C22—121no—
1862C22—121no—
1863C22—121no—
1864C22—121no—
1865C22—121no—
1866C22—248no—
1867C22—248no—
1868C22—248no—
1869C22C22×D3×D411yescharacteristic
1870C22C2×#100911yescharacteristic
1871C22#596411yescharacteristic
1872C22D3×H(5,𝔽2)11yescharacteristic
1873C22D3×H(5,𝔽2)11yescharacteristic
1874C22D3×H(5,𝔽2)11yescharacteristic
1875C22#596811yescharacteristic
1876C4—22no—
1877C4—22no—
1878C4—22no—
1879C4—41no—
1880C4—41no—
1881C4—41no—
1882C4—41no—
1883C4—41no—
1884C4—41no—
1885C4—41no—
1886C4—41no—
1887C4—41no—
1888C4—62no—
1889C4—62no—
1890C4—62no—
1891C4—121no—
1892C4—121no—
1893C4—121no—
1894C4—121no—
1895C4—121no—
1896C4—121no—
1897C4—121no—
1898C3#4051211yescharacteristic, complemented, Sylow
1899C2—42no—
1900C2—64no—
1901C2—81no—
1902C2—81no—
1903C2—122no—
1904C2—241no—
1905C2—241no—
1906C2—241no—
1907C2—241no—
1908C2D3×#53511yescharacteristic
1909C2#8641811yescharacteristic
1910C2#8645711yescharacteristic
1911C2#8666511yescharacteristic
1912C2#8671311yescharacteristic
1913C2#8680111yescharacteristic
1914C2#8711311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2696C2
hypercenter#2696D3
hypocenterC3#40512
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2696

Complements

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

NH ≅ G/Ntype
1. C2×#5657C2semidirect
2. C2×#5630C2semidirect
3. C3×#2696C2semidirect
4. #82906C2semidirect
5. #82804C2semidirect
6. #78401C2semidirect
7. #78346C2semidirect
8. #77701C2semidirect
9. #77684C2semidirect
10. #77129C2semidirect
11. D3×#394C2semidirect
12. #76885C2semidirect
13. #76864C2semidirect
14. #76863C2semidirect
15. #76819C2semidirect
16. #76761C2semidirect
17. #76673C2semidirect
18. #76456C2semidirect
19. #76454C2semidirect
20. #75842C2semidirect
21. #75527C2semidirect
22. #75305C2semidirect
23. #75160C2semidirect
24. #74912C2semidirect
25. #74901C2semidirect
26. #74887C2semidirect
27. #74884C2semidirect
28. #74784C2semidirect
29. #74753C2semidirect
30. #73966C2semidirect
31. #73887C2semidirect
36. C2×C3×#123C22semidirect
37. C2×C3×C22⋊Q8C22semidirect
38. C2×#947C22semidirect
40. C2×#940C22semidirect
41. C2×#938C22semidirect
44. C2×#937C22semidirect
45. C2×#937C22semidirect
46. C2×#930C22semidirect
47. C2×#930C22semidirect
48. C2×C4×#67C22semidirect
49. C2×C4×#67C22semidirect
52. C2×#898C22semidirect
53. C2×#897C22semidirect
55. C2×#895C22semidirect
56. C2×#895C22semidirect
58. C2×#894C22semidirect
59. C2×#894C22semidirect
61. C2×D3×C4⋊C4C22semidirect
62. C2×#885C22semidirect
63. C2×#885C22semidirect
64. C2×#885C22semidirect
67. C2×#884C22semidirect
68. C2×#883C22semidirect
73. C2×#882C22semidirect
74. C2×#882C22semidirect
77. C2×D3×C22⋊C4C22semidirect
78. C2×D3×C22⋊C4C22semidirect
79. C2×D3×C22⋊C4C22semidirect
80. C2×#879C22semidirect
81. C2×#872C22semidirect
82. C3×#400C22semidirect
83. C3×#397C22semidirect
85. C3×#393C22semidirect
86. C3×#393C22semidirect
88. C3×#390C22semidirect
89. C3×#388C22semidirect
90. C3×#387C22semidirect
92. C3×#386C22semidirect
93. C3×#386C22semidirect
94. C3×#380C22semidirect
95. #5231C22semidirect
96. #5230C22semidirect
98. #5223C22semidirect
100. #5222C22semidirect
102. #5213C22semidirect
103. #5210C22semidirect
104. #4993C22semidirect
105. #4992C22semidirect
106. #4991C22semidirect
107. #4991C22semidirect
108. #4990C22semidirect
109. #4990C22semidirect
110. #4988C22semidirect
111. #4980C22semidirect
112. #4977C22semidirect
113. #4972C22semidirect
115. #4961C22semidirect
116. #4961C22semidirect
119. #4960C22semidirect
120. #4960C22semidirect
121. #4960C22semidirect
122. #4960C22semidirect
123. #4960C22semidirect
124. #4960C22semidirect
125. #4960C22semidirect
127. #4959C22semidirect
128. #4959C22semidirect
129. #4959C22semidirect
130. #4959C22semidirect
131. #4959C22semidirect
132. #4959C22semidirect
134. #4957C22semidirect
135. #4957C22semidirect
136. #4957C22semidirect
137. #4956C22semidirect
138. #4956C22semidirect
139. #4956C22semidirect
140. #4956C22semidirect
142. #4955C22semidirect
143. #4953C22semidirect
144. #4949C22semidirect
145. #4948C22semidirect
146. #4944C22semidirect
147. #4939C22semidirect
148. #4939C22semidirect
149. C4×(C2×D3)⋊C4C22semidirect
150. #4676C22semidirect
151. #4676C22semidirect
152. #4676C22semidirect
153. #4674C22semidirect
154. #4673C22semidirect
155. #4673C22semidirect
156. #4672C22semidirect
157. #4672C22semidirect
158. #4672C22semidirect
159. #4672C22semidirect
160. #4672C22semidirect
161. #4672C22semidirect
164. #4671C22semidirect
165. #4671C22semidirect
166. #4671C22semidirect
167. #4670C22semidirect
168. #4670C22semidirect
169. #4670C22semidirect
170. #4670C22semidirect
171. #4668C22semidirect
172. #4668C22semidirect
173. #4667C22semidirect
174. #4667C22semidirect
175. #4666C22semidirect
180. #4665C22semidirect
181. #4665C22semidirect
182. #4665C22semidirect
183. #4665C22semidirect
184. #4664C22semidirect
185. D3×#95C22semidirect
186. #4660C22semidirect
187. #4650C22semidirect
188. #4649C22semidirect
189. #4646C22semidirect
198. #2696D3semidirect
381. #893D4semidirect
446. C2×#123C2×D3semidirect
448. C2×C22⋊Q8C2×D3semidirect
479. #400C2×D3semidirect
485. #397C2×D3semidirect
515. #393C2×D3semidirect
516. #393C2×D3semidirect
542. #390C2×D3semidirect
551. #388C2×D3semidirect
553. #387C2×D3semidirect
569. #386C2×D3semidirect
570. #386C2×D3semidirect
579. #380C2×D3semidirect
754. C2×C4×D3C2×D4semidirect
762. C3×C4⋊C4C2×D4semidirect
825. (C2×D3)⋊C4C2×D4semidirect
844. C4×Dic3C2×D4semidirect
1433. C4⋊C4D3×D4semidirect
1898. C3#40512semidirect

Maximal subgroups

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

subgroupindex
C2×#56572
C2×#56302
C3×#26962
#829062
#828042
#784012
#783462
#777012
#776842
#771292
D3×#3942
#768852
#768642
#768632
#768192
#767612
#766732
#764562
#764542
#758422
#755272
#753052
#751602
#749122
#749012
#748872
#748842
#747842
#747532
#739662
#738872
#405123