Finite Group Databasebeta

← #11301762

Subgroups — #11301762

Order 768.

3038 conjugacy classes of subgroups.

The subgroup lattice has 2006 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5834C211yesmaximal, characteristic, complemented
2C2×#5589C211yesmaximal, characteristic, complemented
3C3×#2404C211yesmaximal, characteristic, complemented
4#84096C211yesmaximal, characteristic, complemented
5#82609C211yesmaximal, characteristic, complemented
6#82594C211yesmaximal, characteristic, complemented
7#82588C211yesmaximal, characteristic, complemented
8#82127C211yesmaximal, characteristic, complemented
9#82109C211yesmaximal, characteristic, complemented
10#76863C211yesmaximal, characteristic, complemented
11#76809C211yesmaximal, characteristic, complemented
12#76785C211yesmaximal, characteristic, complemented
13#76784C211yesmaximal, characteristic, complemented
14#76769C211yesmaximal, characteristic, complemented
15#76765C211yesmaximal, characteristic, complemented
16#76710C211yesmaximal, characteristic, complemented
17#76673C211yesmaximal, characteristic, complemented
18#74915C211yesmaximal, characteristic, complemented
19#74915C211yesmaximal, characteristic, complemented
20#74913C211yesmaximal, characteristic, complemented
21#74912C211yesmaximal, characteristic, complemented
22#74908C211yesmaximal, characteristic, complemented
23#74901C211yesmaximal, characteristic, complemented
24#74893C211yesmaximal, characteristic, complemented
25#74888C211yesmaximal, characteristic, complemented
26#74883C211yesmaximal, characteristic, complemented
27#74810C211yesmaximal, characteristic, complemented
28#74792C211yesmaximal, characteristic, complemented
29#74714C211yesmaximal, characteristic, complemented
30#74097C211yesmaximal, characteristic, complemented
31#74069C211yesmaximal, characteristic, complemented
32#47831—31nomaximal, Sylow
33C22×C3×#41C2211yescharacteristic, complemented
34C23×#67C2211yescharacteristic
35C22×#239C2211yescharacteristic, complemented
36C22×D3×D4C2211yescharacteristic
37C2×C3×#120C2211yescharacteristic
38C2×C3×#120C2211yescharacteristic, complemented
39C22×C3×C22⋊C4C2211yescharacteristic, complemented
40C2×#953C2211yescharacteristic
41C2×#953C2211yescharacteristic, complemented
42C2×#953C2211yescharacteristic, complemented
43#5834—28no—
44C2×Q8×Dic3C2211yescharacteristic, complemented
45C2×#940C2211yescharacteristic
46C2×#940C2211yescharacteristic
47C2×#940C2211yescharacteristic, complemented
48C2×#940C2211yescharacteristic, complemented
49C2×#940C2211yescharacteristic, complemented
50C2×#939C2211yescharacteristic
51C2×#939C2211yescharacteristic, complemented
52C2×#939C2211yescharacteristic, complemented
53C2×#938C2211yescharacteristic
54C2×#938C2211yescharacteristic
55C2×#938C2211yescharacteristic, complemented
56C2×#938C2211yescharacteristic, complemented
57C2×#937C2211yescharacteristic
58C2×#937C2211yescharacteristic
59C2×#937C2211yescharacteristic
60C2×#937C2211yescharacteristic, complemented
61C2×#935C2211yescharacteristic
62C2×#930C2211yescharacteristic
63C2×#930C2211yescharacteristic, complemented
64C2×#930C2211yescharacteristic, complemented
65C2×#930C2211yescharacteristic, complemented
66C2×#930C2211yescharacteristic, complemented
67C2×C4×#67C2211yescharacteristic, complemented
68C2×C4×#67C2211yescharacteristic, complemented
69C2×C4×#67C2211yescharacteristic, complemented
70C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
71#5589—28no—
72C2×#886C2211yescharacteristic
73C2×#884C2211yescharacteristic
74C2×#884C2211yescharacteristic
75C2×#884C2211yescharacteristic, complemented
76C2×#884C2211yescharacteristic, complemented
77C2×#884C2211yescharacteristic, complemented
78C2×#883C2211yescharacteristic
79C2×#883C2211yescharacteristic
80C2×#883C2211yescharacteristic, complemented
81C2×#882C2211yescharacteristic
82C2×#882C2211yescharacteristic
83C2×#882C2211yescharacteristic, complemented
84C2×#882C2211yescharacteristic, complemented
85C2×D3×C22⋊C4C2211yescharacteristic
86C3×#393C2211yescharacteristic, complemented
87C3×#393C2211yescharacteristic, complemented
88C3×#392C2211yescharacteristic
89C3×#392C2211yescharacteristic, complemented
90C3×#386C2211yescharacteristic
91C3×#386C2211yescharacteristic, complemented
92C3×#386C2211yescharacteristic, complemented
93C3×#386C2211yescharacteristic, complemented
94C3×#386C2211yescharacteristic, complemented
95C3×#386C2211yescharacteristic, complemented
96C3×#381C2211yescharacteristic, complemented
97#5231C2211yescharacteristic, complemented
98#5231C2211yescharacteristic, complemented
99#5223C2211yescharacteristic
100#5223C2211yescharacteristic
101#5223C2211yescharacteristic, complemented
102#5223C2211yescharacteristic, complemented
103#5223C2211yescharacteristic, complemented
104#5223C2211yescharacteristic, complemented
105#5223C2211yescharacteristic, complemented
106#5222C2211yescharacteristic, complemented
107#5220C2211yescharacteristic, complemented
108#5220C2211yescharacteristic, complemented
109#5213C2211yescharacteristic
110#5213C2211yescharacteristic, complemented
111#5213C2211yescharacteristic, complemented
112#5213C2211yescharacteristic, complemented
113#5213C2211yescharacteristic, complemented
114#5211C2211yescharacteristic, complemented
115#5210C2211yescharacteristic, complemented
116#4961C2211yescharacteristic
117#4961C2211yescharacteristic
118#4961C2211yescharacteristic, complemented
119#4961C2211yescharacteristic, complemented
120#4961C2211yescharacteristic, complemented
121#4961C2211yescharacteristic, complemented
122#4960C2211yescharacteristic
123#4960C2211yescharacteristic
124#4960C2211yescharacteristic
125#4960C2211yescharacteristic, complemented
126#4960C2211yescharacteristic, complemented
127#4960C2211yescharacteristic, complemented
128#4960C2211yescharacteristic, complemented
129#4960C2211yescharacteristic, complemented
130#4960C2211yescharacteristic, complemented
131#4960C2211yescharacteristic, complemented
132#4959C2211yescharacteristic, complemented
133#4959C2211yescharacteristic, complemented
134#4959C2211yescharacteristic, complemented
135#4959C2211yescharacteristic, complemented
136#4959C2211yescharacteristic, complemented
137#4959C2211yescharacteristic, complemented
138#4958C2211yescharacteristic, complemented
139#4958C2211yescharacteristic, complemented
140#4957C2211yescharacteristic
141#4957C2211yescharacteristic
142#4957C2211yescharacteristic, complemented
143#4957C2211yescharacteristic, complemented
144#4956C2211yescharacteristic, complemented
145#4956C2211yescharacteristic, complemented
146#4955C2211yescharacteristic
147#4951C2211yescharacteristic, complemented
148#4951C2211yescharacteristic, complemented
149#4950C2211yescharacteristic, complemented
150#4949C2211yescharacteristic, complemented
151#4948C2211yescharacteristic, complemented
152#4946C2211yescharacteristic, complemented
153#4945C2211yescharacteristic, complemented
154#4944C2211yescharacteristic, complemented
155#4944C2211yescharacteristic, complemented
156#4944C2211yescharacteristic, complemented
157Dic3×C22⋊C4C2211yescharacteristic, complemented
158#4676C2211yescharacteristic, complemented
159#4672C2211yescharacteristic, complemented
160#4672C2211yescharacteristic, complemented
161#4671C2211yescharacteristic, complemented
162#4671C2211yescharacteristic, complemented
163#4671C2211yescharacteristic, complemented
164#4671C2211yescharacteristic, complemented
165#4670C2211yescharacteristic, complemented
166#4670C2211yescharacteristic, complemented
167#4670C2211yescharacteristic, complemented
168#4670C2211yescharacteristic, complemented
169#4669C2211yescharacteristic, complemented
170#4669C2211yescharacteristic, complemented
171#4668C2211yescharacteristic, complemented
172#4667C2211yescharacteristic, complemented
173#4667C2211yescharacteristic, complemented
174#4667C2211yescharacteristic, complemented
175#4666C2211yescharacteristic, complemented
176#4665C2211yescharacteristic, complemented
177#4665C2211yescharacteristic, complemented
178#4665C2211yescharacteristic, complemented
179#4665C2211yescharacteristic, complemented
180#4665C2211yescharacteristic, complemented
181#4664C2211yescharacteristic, complemented
182#4664C2211yescharacteristic, complemented
183#4661C2211yescharacteristic, complemented
184#4658C2211yescharacteristic, complemented
185#4657C2211yescharacteristic, complemented
186#4655C2211yescharacteristic, complemented
187#4654C2211yescharacteristic, complemented
188#4654C2211yescharacteristic, complemented
189#4653C2211yescharacteristic, complemented
190C2×#550—31no—
191C2×#534—31no—
192#2699—31no—
193#2699—31no—
194#2673—31no—
195#2673—31no—
196#2673—31no—
197#2673—31no—
198#2671—31no—
199#2671—31no—
200#2669—31no—
201#2669—31no—
202#2669—31no—
203#2669—31no—
204#2635—31no—
205#2615—31no—
206#2534—31no—
207#2458—31no—
208#2458—31no—
209#2457—31no—
210#2457—31no—
211#2433—31no—
212#2433—31no—
213#2424—31no—
214#2424—31no—
215#2410—31no—
216#2410—31no—
217#2404—31no—
218#2404—31no—
219#2404D311yescharacteristic, complemented
220#2377—31no—
221C25×C3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C24×D3C2311yescharacteristic
224C2×C3×#41—24no—
225C2×C3×#41—42no—
226C2×C3×#41—42no—
227C22×C3×Q8C2311yescharacteristic
228C22×C3×D4C2311yescharacteristic
229C22×C3×D4C2311yescharacteristic
230C22×C3×D4C2311yescharacteristic
231C22×C3×D4C2311yescharacteristic
232C22×C3×D4C2311yescharacteristic
233C22×C3×D4C2311yescharacteristic
234C22×C3×D4C2311yescharacteristic
235C23×C3×C4C2311yescharacteristic
236C23×C3×C4C2311yescharacteristic
237C23×C3×C4C2311yescharacteristic
238C23×C3×C4C2311yescharacteristic
239C22×#67—24no—
240C22×#67—42no—
241C22×#67—42no—
242C22×#67C2311yescharacteristic
243C22×#67C2311yescharacteristic
244C22×#67C2311yescharacteristic
245C22×#67C2311yescharacteristic
246C22×#67C2311yescharacteristic
247C22×#67C2311yescharacteristic
248C22×#67C2311yescharacteristic
249C22×#67C2311yescharacteristic
250C22×#67C2311yescharacteristic
251C22×#67C2311yescharacteristic
252C22×#67C2311yescharacteristic
253C22×#67C2311yescharacteristic
254C22×#67C2311yescharacteristic
255C22×#67C2311yescharacteristic
256C22×#67C2311yescharacteristic
257C22×#67C2311yescharacteristic
258C22×#67C2311yescharacteristic
259C22×#67C2311yescharacteristic
260C22×#67C2311yescharacteristic
261C22×#67C2311yescharacteristic
262C22×#67C2311yescharacteristic
263C23×Dic3C2311yescharacteristic
264C23×Dic3C2311yescharacteristic
265C2×#239—24no—
266C2×#239—42no—
267C2×#239—42no—
268C2×D3×D4—24no—
269C2×D3×D4—42no—
270C2×D3×D4—42no—
271C22×D12C2311yescharacteristic
272C22×D12C2311yescharacteristic
273C22×D12C2311yescharacteristic
274C22×D12C2311yescharacteristic
275C22×D12C2311yescharacteristic
276C22×D12C2311yescharacteristic
277C22×D12C2311yescharacteristic
278C22×D12C2311yescharacteristic
279C22×C4×D3C2311yescharacteristic
280C22×C4×D3C2311yescharacteristic
281C22×C4×D3C2311yescharacteristic
282C22×C4×D3C2311yescharacteristic
283C22×C4×D3C2311yescharacteristic
284C3×#120—24no—
285C3×#120—42no—
286C2×C3×C22⋊C4—42no—
287C2×C3×C22⋊C4C2311yescharacteristic
288C2×C3×C22⋊C4C2311yescharacteristic
289C2×C3×C22⋊C4C2311yescharacteristic
290C2×C3×C22⋊C4C2311yescharacteristic
291C2×C3×C22⋊C4C2311yescharacteristic
292C2×C3×C22⋊C4C2311yescharacteristic
293C2×C3×C22⋊C4C2311yescharacteristic
294C2×C3×C22⋊C4C2311yescharacteristic
295C2×C3×C22⋊C4C2311yescharacteristic
296C2×C3×C22⋊C4C2311yescharacteristic
297C2×C3×C22⋊C4C2311yescharacteristic
298C2×C3×C22⋊C4C2311yescharacteristic
299C2×C3×C22⋊C4C2311yescharacteristic
300C2×C3×C22⋊C4C2311yescharacteristic
301#953—24no—
302#953—42no—
303#953—42no—
304C2×#217C2311yescharacteristic
305C2×#217C2311yescharacteristic
306C2×#217C2311yescharacteristic
307C2×#217C2311yescharacteristic
308C2×#217C2311yescharacteristic
309C2×#217C2311yescharacteristic
310C2×#217C2311yescharacteristic
311C2×#217C2311yescharacteristic
312C2×#217C2311yescharacteristic
313C2×#217C2311yescharacteristic
314C2×#217C2311yescharacteristic
315C2×#217C2311yescharacteristic
316C2×#217C2311yescharacteristic
317C2×#217C2311yescharacteristic
318C2×#217C2311yescharacteristic
319Q8×Dic3—24no—
320#940—24no—
321#940—24no—
322#940—24no—
323#940—42no—
324#940—42no—
325#939—42no—
326#939—42no—
327#939—42no—
328#938—24no—
329#938—24no—
330#938—24no—
331#938D418yescomplemented
332#937—24no—
333#937—24no—
334#937—42no—
335#937—42no—
336#935—24no—
337#930—24no—
338#930—24no—
339#930—24no—
340#930—42no—
341#930—42no—
342C4×#67—24no—
343C4×#67—24no—
344C4×#67—24no—
345C2×(C2×D3)⋊C4—42no—
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×(C2×D3)⋊C4C2311yescharacteristic
355C2×(C2×D3)⋊C4C2311yescharacteristic
356C2×(C2×D3)⋊C4C2311yescharacteristic
357C2×(C2×D3)⋊C4C2311yescharacteristic
358C2×(C2×D3)⋊C4C2311yescharacteristic
359C2×(C2×D3)⋊C4C2311yescharacteristic
360C2×(C2×D3)⋊C4C2311yescharacteristic
361C2×(C2×D3)⋊C4C2311yescharacteristic
362C2×(C2×D3)⋊C4C2311yescharacteristic
363C2×(C2×D3)⋊C4C2311yescharacteristic
364C2×(C2×D3)⋊C4C2311yescharacteristic
365C2×(C2×D3)⋊C4C2311yescharacteristic
366C2×(C2×D3)⋊C4C2311yescharacteristic
367C2×(C2×D3)⋊C4C2311yescharacteristic
368C2×(C2×D3)⋊C4C2311yescharacteristic
369C2×(C2×D3)⋊C4C2311yescharacteristic
370C2×(C2×D3)⋊C4C2311yescharacteristic
371C2×(C2×D3)⋊C4C2311yescharacteristic
372C2×(C2×D3)⋊C4C2311yescharacteristic
373C2×(C2×D3)⋊C4C2311yescharacteristic
374C2×(C2×D3)⋊C4C2311yescharacteristic
375C2×C4⋊Dic3C2311yescharacteristic
376C2×C4⋊Dic3C2311yescharacteristic
377C2×C4⋊Dic3C2311yescharacteristic
378C2×C4⋊Dic3C2311yescharacteristic
379C2×C4⋊Dic3C2311yescharacteristic
380C2×C4⋊Dic3C2311yescharacteristic
381C2×Dic3⋊C4C2311yescharacteristic
382C2×Dic3⋊C4C2311yescharacteristic
383C2×Dic3⋊C4C2311yescharacteristic
384C2×Dic3⋊C4C2311yescharacteristic
385C2×Dic3⋊C4C2311yescharacteristic
386C2×Dic3⋊C4C2311yescharacteristic
387C2×Dic3⋊C4C2311yescharacteristic
388C2×Dic3⋊C4C2311yescharacteristic
389C2×Dic3⋊C4C2311yescharacteristic
390C2×C4×Dic3C2311yescharacteristic
391C2×C4×Dic3C2311yescharacteristic
392C2×C4×Dic3C2311yescharacteristic
393C2×C4×Dic3C2311yescharacteristic
394C2×C4×Dic3C2311yescharacteristic
395#886—24no—
396#884—24no—
397#884—24no—
398#884—42no—
399#884—42no—
400#884—42no—
401#883—24no—
402#883—24no—
403#883—42no—
404#882—42no—
405#882—42no—
406#882—42no—
407#882—42no—
408D3×C22⋊C4—24no—
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
429C3⋊#95C2311yescharacteristic
430C3⋊#95C2311yescharacteristic
431C3⋊#95C2311yescharacteristic
432C3⋊#95C2311yescharacteristic
433C3⋊#95C2311yescharacteristic
434C3⋊#95C2311yescharacteristic
435C22×#41—31no—
436C22×#41C2×D311yescharacteristic, complemented
437C23×D4—31no—
438C23×D4—31no—
439#550—68no—
440#534—68no—
441C2×#127—31no—
442C2×#127—31no—
443C2×#127—31no—
444C2×#127—31no—
445C2×#127—31no—
446C2×#123—31no—
447C2×#123—31no—
448C2×#123—31no—
449C2×#123—31no—
450C2×#123—31no—
451C2×#121—31no—
452C2×#121—31no—
453C2×#121—31no—
454C2×#121—31no—
455C2×#121—31no—
456C2×#121—31no—
457C2×#121—31no—
458C2×#121—31no—
459C2×#121—31no—
460C2×#121—31no—
461C2×#121—31no—
462C2×#121—31no—
463C2×#121—31no—
464C2×#121—31no—
465C2×#121—31no—
466C2×#121—31no—
467C2×#121—31no—
468C2×#120—31no—
469C2×#120—31no—
470C2×#120—31no—
471C2×#120—31no—
472C2×#120—31no—
473C2×#120—31no—
474C2×#120—31no—
475C2×#120—31no—
476C2×#120—31no—
477C2×#120—31no—
478C2×#120—31no—
479C2×#120C2×D311yescharacteristic
480C2×#120C2×D311yescharacteristic, complemented
481C2×C4×Q8—31no—
482C2×C4×D4—31no—
483C2×C4×D4—31no—
484C2×C4×D4—31no—
485C22×C22⋊C4—31no—
486C22×C22⋊C4—31no—
487C22×C22⋊C4C2×D311yescharacteristic, complemented
488#400—31no—
489#399—31no—
490#398—31no—
491#398—31no—
492#396—31no—
493#396—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#393—31no—
510#393—31no—
511#393C2×D311yescharacteristic, complemented
512#393C2×D311yescharacteristic, complemented
513#392—31no—
514#392—31no—
515#392—31no—
516#392—31no—
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#392—31no—
534#392C2×D311yescharacteristic
535#392C2×D311yescharacteristic, complemented
536#390—31no—
537#390—31no—
538#390—31no—
539#390—31no—
540#388—31no—
541#388—31no—
542#388—31no—
543#388—31no—
544#388—31no—
545#388—31no—
546#388—31no—
547#388—31no—
548#388—31no—
549#388—31no—
550#388—31no—
551#388—31no—
552#387—31no—
553#387—31no—
554#387—31no—
555#387—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#386—31no—
569#386—31no—
570#386—31no—
571#386—31no—
572#386C2×D311yescharacteristic
573#386C2×D311yescharacteristic, complemented
574#386C2×D311yescharacteristic, complemented
575#386C2×D311yescharacteristic, complemented
576#386C2×D311yescharacteristic, complemented
577#386C2×D311yescharacteristic, complemented
578#385—31no—
579#385—31no—
580#385—31no—
581#385—31no—
582#381—31no—
583#381—31no—
584#381—31no—
585#381C2×D311yescharacteristic, complemented
586#380—31no—
587#380—31no—
588#380—31no—
589#379—31no—
590C4×C22⋊C4—31no—
591C4×C22⋊C4—31no—
592C24×C3—22no—
593C24×C3—22no—
594C24×C3—41no—
595C24×C3—41no—
596C24×C3—41no—
597C24×C3—41no—
598C24×C3—41no—
599C24×C3C2411yescharacteristic
600C24×C3C2411yescharacteristic
601C24×C3C2411yescharacteristic
602C24×C3C2411yescharacteristic
603C24×C3C2411yescharacteristic
604C23×D3—22no—
605C23×D3—22no—
606C23×D3—22no—
607C23×D3—22no—
608C23×D3—22no—
609C23×D3—41no—
610C23×D3—41no—
611C23×D3—41no—
612C23×D3—41no—
613C23×D3—41no—
614C23×D3—41no—
615C23×D3—41no—
616C23×D3—41no—
617C23×D3—41no—
618C23×D3C2411yescharacteristic
619C23×D3C2411yescharacteristic
620C23×D3C2411yescharacteristic
621C23×D3C2411yescharacteristic
622C23×D3C2411yescharacteristic
623C3×#41—416no—
624C2×C3×Q8—22no—
625C2×C3×Q8—22no—
626C2×C3×Q8—22no—
627C2×C3×D4—22no—
628C2×C3×D4—22no—
629C2×C3×D4—22no—
630C2×C3×D4—22no—
631C2×C3×D4—22no—
632C2×C3×D4—22no—
633C2×C3×D4—22no—
634C2×C3×D4—22no—
635C2×C3×D4—41no—
636C2×C3×D4—41no—
637C2×C3×D4—41no—
638C2×C3×D4—41no—
639C2×C3×D4—41no—
640C2×C3×D4—41no—
641C2×C3×D4—41no—
642C2×C3×D4—41no—
643C2×C3×D4—41no—
644C2×C3×D4—41no—
645C2×C3×D4—41no—
646C2×C3×D4—41no—
647C2×C3×D4C2×D414yes—
648C22×C3×C4—22no—
649C22×C3×C4—22no—
650C22×C3×C4—22no—
651C22×C3×C4—22no—
652C22×C3×C4—22no—
653C22×C3×C4—41no—
654C22×C3×C4—41no—
655C22×C3×C4—41no—
656C22×C3×C4—41no—
657C22×C3×C4—41no—
658C22×C3×C4—41no—
659C22×C3×C4—41no—
660C22×C3×C4C2411yescharacteristic
661C22×C3×C4C2411yescharacteristic
662C22×C3×C4C2411yescharacteristic
663C22×C3×C4C2411yescharacteristic
664C22×C3×C4C2411yescharacteristic
665C22×C3×C4C2411yescharacteristic
666C22×C3×C4C2411yescharacteristic
667C22×C3×C4C2411yescharacteristic
668C22×C3×C4C2411yescharacteristic
669C22×C3×C4C2411yescharacteristic
670C2×#67—22no—
671C2×#67—22no—
672C2×#67—22no—
673C2×#67—22no—
674C2×#67—22no—
675C2×#67—22no—
676C2×#67—22no—
677C2×#67—22no—
678C2×#67—22no—
679C2×#67—22no—
680C2×#67—22no—
681C2×#67—22no—
682C2×#67—22no—
683C2×#67—22no—
684C2×#67—22no—
685C2×#67—22no—
686C2×#67—22no—
687C2×#67—22no—
688C2×#67—22no—
689C2×#67—22no—
690C2×#67—22no—
691C2×#67—22no—
692C2×#67—41no—
693C2×#67—41no—
694C2×#67—41no—
695C2×#67—41no—
696C2×#67—41no—
697C2×#67—41no—
698C2×#67—41no—
699C2×#67—41no—
700C2×#67—41no—
701C2×#67—41no—
702C2×#67—41no—
703C2×#67—41no—
704C2×#67—41no—
705C2×#67—41no—
706C2×#67—41no—
707C2×#67—41no—
708C2×#67—41no—
709C2×#67—41no—
710C2×#67—41no—
711C2×#67—41no—
712C2×#67—41no—
713C2×#67—41no—
714C2×#67—41no—
715C2×#67—41no—
716C2×#67—41no—
717C2×#67—41no—
718C2×#67—41no—
719C2×#67—41no—
720C2×#67—41no—
721C2×#67—41no—
722C2×#67—41no—
723C2×#67—41no—
724C2×#67—41no—
725C2×#67—41no—
726C2×#67—41no—
727C2×#67—41no—
728C2×#67—41no—
729C2×#67—41no—
730C2×#67—41no—
731C2×#67—416no—
732C2×#67C2×D414yes—
733C2×#67C2×D414yes—
734C22×Dic3—22no—
735C22×Dic3—22no—
736C22×Dic3—41no—
737C22×Dic3—41no—
738C22×Dic3—41no—
739C22×Dic3—41no—
740C22×Dic3C2411yescharacteristic
741C22×Dic3C2411yescharacteristic
742C22×Dic3C2411yescharacteristic
743C22×Dic3C2411yescharacteristic
744C22×Dic3C2411yescharacteristic
745C22×Dic3C2411yescharacteristic
746C22×Dic3C2411yescharacteristic
747C22×Dic3C2411yescharacteristic
748C22×Dic3C2411yescharacteristic
749C22×Dic3C2411yescharacteristic
750C22×Dic3C2411yescharacteristic
751#239—416no—
752D3×D4—416no—
753C2×D12—22no—
754C2×D12—22no—
755C2×D12—22no—
756C2×D12—22no—
757C2×D12—22no—
758C2×D12—22no—
759C2×D12—22no—
760C2×D12—22no—
761C2×D12—41no—
762C2×D12—41no—
763C2×D12—41no—
764C2×D12—41no—
765C2×D12—41no—
766C2×D12—41no—
767C2×D12—41no—
768C2×D12—41no—
769C2×D12—41no—
770C2×D12—41no—
771C2×D12—41no—
772C2×D12—41no—
773C2×D12—41no—
774C2×D12—41no—
775C2×D12—41no—
776C2×D12—41no—
777C2×C4×D3—22no—
778C2×C4×D3—22no—
779C2×C4×D3—22no—
780C2×C4×D3—22no—
781C2×C4×D3—22no—
782C2×C4×D3—22no—
783C2×C4×D3—22no—
784C2×C4×D3—41no—
785C2×C4×D3—41no—
786C2×C4×D3—41no—
787C2×C4×D3—41no—
788C2×C4×D3—41no—
789C2×C4×D3—41no—
790C2×C4×D3—41no—
791C2×C4×D3C2×D414yes—
792C3×C22⋊C4—22no—
793C3×C22⋊C4—22no—
794C3×C22⋊C4—22no—
795C3×C22⋊C4—22no—
796C3×C22⋊C4—22no—
797C3×C22⋊C4—22no—
798C3×C22⋊C4—22no—
799C3×C22⋊C4—41no—
800C3×C22⋊C4—41no—
801C3×C22⋊C4—41no—
802C3×C22⋊C4—41no—
803C3×C22⋊C4—41no—
804C3×C22⋊C4—41no—
805C3×C22⋊C4—41no—
806#217—22no—
807#217—22no—
808#217—22no—
809#217—22no—
810#217—22no—
811#217—22no—
812#217—22no—
813#217—41no—
814#217—41no—
815#217—41no—
816#217—41no—
817#217—41no—
818#217—41no—
819#217C2×D414yes—
820#217C2×D414yes—
821(C2×D3)⋊C4—22no—
822(C2×D3)⋊C4—22no—
823(C2×D3)⋊C4—22no—
824(C2×D3)⋊C4—22no—
825(C2×D3)⋊C4—22no—
826(C2×D3)⋊C4—22no—
827(C2×D3)⋊C4—22no—
828(C2×D3)⋊C4—22no—
829(C2×D3)⋊C4—22no—
830(C2×D3)⋊C4—22no—
831(C2×D3)⋊C4—22no—
832(C2×D3)⋊C4—22no—
833(C2×D3)⋊C4—22no—
834(C2×D3)⋊C4—22no—
835(C2×D3)⋊C4—41no—
836(C2×D3)⋊C4—41no—
837(C2×D3)⋊C4—41no—
838(C2×D3)⋊C4—41no—
839(C2×D3)⋊C4—41no—
840(C2×D3)⋊C4—41no—
841(C2×D3)⋊C4—41no—
842(C2×D3)⋊C4—41no—
843(C2×D3)⋊C4—41no—
844(C2×D3)⋊C4—41no—
845(C2×D3)⋊C4—41no—
846(C2×D3)⋊C4—41no—
847(C2×D3)⋊C4—41no—
848(C2×D3)⋊C4—41no—
849(C2×D3)⋊C4—41no—
850C4⋊Dic3—22no—
851C4⋊Dic3—22no—
852C4⋊Dic3—22no—
853C4⋊Dic3—22no—
854C4⋊Dic3—41no—
855C4⋊Dic3C2×D414yes—
856Dic3⋊C4—22no—
857Dic3⋊C4—22no—
858Dic3⋊C4—22no—
859Dic3⋊C4—22no—
860Dic3⋊C4—41no—
861Dic3⋊C4—41no—
862Dic3⋊C4—41no—
863Dic3⋊C4—41no—
864Dic3⋊C4—41no—
865C4×Dic3—22no—
866C4×Dic3—22no—
867C4×Dic3—22no—
868C4×Dic3—41no—
869C4×Dic3—41no—
870C25—31no—
871C25—31no—
872C25C22×D311yescharacteristic
873C2×#41—24no—
874C2×#41—42no—
875C2×#41—42no—
876C2×#41—64no—
877C2×#41—122no—
878C2×#41—122no—
879C22×Q8C22×D311yescharacteristic
880C22×D4—31no—
881C22×D4—31no—
882C22×D4—31no—
883C22×D4—31no—
884C22×D4—31no—
885C22×D4—31no—
886C22×D4—31no—
887C22×D4—31no—
888C22×D4—31no—
889C22×D4—31no—
890C22×D4—31no—
891C22×D4—31no—
892C22×D4—31no—
893C22×D4—31no—
894C22×D4—31no—
895C22×D4—31no—
896C22×D4—31no—
897C22×D4—31no—
898C22×D4—31no—
899C22×D4—31no—
900C22×D4—31no—
901C22×D4—31no—
902C22×D4—31no—
903C22×D4—31no—
904C22×D4—31no—
905C22×D4—31no—
906C22×D4—31no—
907C22×D4—31no—
908C22×D4—31no—
909C22×D4—64no—
910C22×D4—64no—
911C22×D4—122no—
912C22×D4—122no—
913C22×D4—122no—
914C22×D4—122no—
915C22×D4C22×D311yescharacteristic
916C22×D4C22×D311yescharacteristic
917C22×D4C22×D311yescharacteristic
918C22×D4C22×D311yescharacteristic
919C22×D4C22×D311yescharacteristic
920C22×D4C22×D311yescharacteristic
921C22×D4C22×D311yescharacteristic
922C23×C4—31no—
923C23×C4—31no—
924C23×C4—31no—
925C23×C4—31no—
926C23×C4—31no—
927C23×C4—31no—
928C23×C4—31no—
929C23×C4C22×D311yescharacteristic
930C23×C4C22×D311yescharacteristic
931C23×C4C22×D311yescharacteristic
932C23×C4C22×D311yescharacteristic
933#127—64no—
934#127—64no—
935#127—64no—
936#127—122no—
937#127—122no—
938#123—64no—
939#123—64no—
940#123—64no—
941#123—64no—
942#123—122no—
943#121—38no—
944#121—64no—
945#121—64no—
946#121—64no—
947#121—64no—
948#121—64no—
949#121—64no—
950#121—64no—
951#121—64no—
952#121—122no—
953#121—122no—
954#121—122no—
955#121—122no—
956#121—122no—
957#121—122no—
958#121—122no—
959#121—122no—
960#120—24no—
961#120—42no—
962#120—64no—
963#120—64no—
964#120—64no—
965#120—122no—
966#120—122no—
967#120—122no—
968#120—122no—
969#120—122no—
970#120—122no—
971#120—122no—
972#120—122no—
973C4×Q8—64no—
974C4×D4—64no—
975C4×D4—64no—
976C4×D4—64no—
977C2×C4⋊C4—31no—
978C2×C4⋊C4—31no—
979C2×C4⋊C4—31no—
980C2×C4⋊C4—31no—
981C2×C4⋊C4—31no—
982C2×C4⋊C4—31no—
983C2×C4⋊C4—31no—
984C2×C4⋊C4—31no—
985C2×C4⋊C4—31no—
986C2×C4⋊C4—31no—
987C2×C4⋊C4—31no—
988C2×C4⋊C4—31no—
989C2×C4⋊C4—31no—
990C2×C4⋊C4—31no—
991C2×C4⋊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—31no—
1004C2×C22⋊C4—31no—
1005C2×C22⋊C4—31no—
1006C2×C22⋊C4—31no—
1007C2×C22⋊C4—31no—
1008C2×C22⋊C4—31no—
1009C2×C22⋊C4—31no—
1010C2×C22⋊C4—31no—
1011C2×C22⋊C4—31no—
1012C2×C22⋊C4—31no—
1013C2×C22⋊C4—31no—
1014C2×C22⋊C4—31no—
1015C2×C22⋊C4—31no—
1016C2×C22⋊C4—31no—
1017C2×C22⋊C4—31no—
1018C2×C22⋊C4—31no—
1019C2×C22⋊C4—31no—
1020C2×C22⋊C4—31no—
1021C2×C22⋊C4—31no—
1022C2×C22⋊C4—31no—
1023C2×C22⋊C4—31no—
1024C2×C22⋊C4—31no—
1025C2×C22⋊C4—31no—
1026C2×C22⋊C4—31no—
1027C2×C22⋊C4—31no—
1028C2×C22⋊C4—31no—
1029C2×C22⋊C4—31no—
1030C2×C22⋊C4—31no—
1031C2×C22⋊C4—31no—
1032C2×C22⋊C4—31no—
1033C2×C22⋊C4—31no—
1034C2×C22⋊C4—31no—
1035C2×C22⋊C4—31no—
1036C2×C22⋊C4—42no—
1037C2×C22⋊C4—64no—
1038C2×C22⋊C4—122no—
1039C2×C22⋊C4C22×D311yescharacteristic
1040C2×C22⋊C4C22×D311yescharacteristic
1041C2×C22⋊C4C22×D311yescharacteristic
1042C2×C22⋊C4C22×D311yescharacteristic
1043C2×C22⋊C4C22×D311yescharacteristic
1044C2×C22⋊C4C22×D311yescharacteristic
1045C2×C22⋊C4C22×D311yescharacteristic
1046C2×C22⋊C4C22×D311yescharacteristic
1047C2×C22⋊C4C22×D311yescharacteristic
1048C2×C22⋊C4C22×D311yescharacteristic
1049C2×C22⋊C4C22×D311yescharacteristic
1050C2×C22⋊C4C22×D311yescharacteristic
1051C2×C22⋊C4C22×D311yescharacteristic
1052C2×C22⋊C4C22×D311yescharacteristic
1053C2×C42—31no—
1054C2×C42—31no—
1055C2×C42—31no—
1056C2×C42—31no—
1057C2×C42—31no—
1058#95—31no—
1059#95—31no—
1060#95—31no—
1061#95—31no—
1062#95—31no—
1063#95—31no—
1064#95—31no—
1065#95—31no—
1066#95—31no—
1067#95—31no—
1068#95—31no—
1069#95—31no—
1070#95—31no—
1071#95—31no—
1072#95—31no—
1073#95—31no—
1074#95—31no—
1075#95—31no—
1076#95C22×D311yescharacteristic
1077#95C22×D311yescharacteristic
1078#95C22×D311yescharacteristic
1079#95C22×D311yescharacteristic
1080#95C22×D311yescharacteristic
1081#95C22×D311yescharacteristic
1082#95C22×D311yescharacteristic
1083#95C22×D311yescharacteristic
1084C23×C3—21no—
1085C23×C3—21no—
1086C23×C3—21no—
1087C23×C3—21no—
1088C23×C3—21no—
1089C23×C3—21no—
1090C23×C3—21no—
1091C23×C3—21no—
1092C23×C3—21no—
1093C23×C3—21no—
1094C23×C3—21no—
1095C23×C3—21no—
1096C23×C3—21no—
1097C23×C3—21no—
1098C23×C3—21no—
1099C23×C3—21no—
1100C23×C3—21no—
1101C23×C3—21no—
1102C23×C3—21no—
1103C23×C3—21no—
1104C23×C3—21no—
1105C23×C3—21no—
1106C23×C3—21no—
1107C23×C3—21no—
1108C23×C3—21no—
1109C23×C3—21no—
1110C23×C3—21no—
1111C23×C3—21no—
1112C23×C3—21no—
1113C23×C3—21no—
1114C23×C3—21no—
1115C23×C3—21no—
1116C23×C3—44no—
1117C23×C3—44no—
1118C23×C3—82no—
1119C23×C3—82no—
1120C23×C3—82no—
1121C23×C3—82no—
1122C23×C3—82no—
1123C23×C3C22×D412yes—
1124C23×C3C22×D412yes—
1125C23×C3H(5,𝔽2)12yes—
1126C23×C3C2511yescharacteristic
1127C22×D3—21no—
1128C22×D3—21no—
1129C22×D3—21no—
1130C22×D3—21no—
1131C22×D3—21no—
1132C22×D3—21no—
1133C22×D3—21no—
1134C22×D3—21no—
1135C22×D3—21no—
1136C22×D3—21no—
1137C22×D3—21no—
1138C22×D3—21no—
1139C22×D3—28no—
1140C22×D3—21no—
1141C22×D3—21no—
1142C22×D3—21no—
1143C22×D3—21no—
1144C22×D3—21no—
1145C22×D3—21no—
1146C22×D3—21no—
1147C22×D3—21no—
1148C22×D3—21no—
1149C22×D3—21no—
1150C22×D3—21no—
1151C22×D3—21no—
1152C22×D3—21no—
1153C22×D3—21no—
1154C22×D3—21no—
1155C22×D3—21no—
1156C22×D3—21no—
1157C22×D3—21no—
1158C22×D3—21no—
1159C22×D3—21no—
1160C22×D3—21no—
1161C22×D3—44no—
1162C22×D3—44no—
1163C22×D3—82no—
1164C22×D3—82no—
1165C22×D3—82no—
1166C22×D3—82no—
1167C22×D3—82no—
1168C22×D3—82no—
1169C22×D3—82no—
1170C22×D3—82no—
1171C22×D3—82no—
1172C22×D3—82no—
1173C22×D3—82no—
1174C22×D3C22×D412yes—
1175C22×D3H(5,𝔽2)12yes—
1176C3×Q8—28no—
1177C3×D4—44no—
1178C3×D4—44no—
1179C3×D4—44no—
1180C3×D4—44no—
1181C3×D4—82no—
1182C3×D4—82no—
1183C3×D4—82no—
1184C2×C3×C4—21no—
1185C2×C3×C4—21no—
1186C2×C3×C4—21no—
1187C2×C3×C4—21no—
1188C2×C3×C4—21no—
1189C2×C3×C4—21no—
1190C2×C3×C4—21no—
1191C2×C3×C4—21no—
1192C2×C3×C4—21no—
1193C2×C3×C4—21no—
1194C2×C3×C4—21no—
1195C2×C3×C4—21no—
1196C2×C3×C4—21no—
1197C2×C3×C4—21no—
1198C2×C3×C4—21no—
1199C2×C3×C4—21no—
1200C2×C3×C4—21no—
1201C2×C3×C4—21no—
1202C2×C3×C4—21no—
1203C2×C3×C4—21no—
1204C2×C3×C4—21no—
1205C2×C3×C4—21no—
1206C2×C3×C4—21no—
1207C2×C3×C4—21no—
1208C2×C3×C4—21no—
1209C2×C3×C4—21no—
1210C2×C3×C4—21no—
1211C2×C3×C4—44no—
1212C2×C3×C4—44no—
1213C2×C3×C4—44no—
1214C2×C3×C4—82no—
1215C2×C3×C4C22×D412yes—
1216C2×C3×C4H(5,𝔽2)12yes—
1217C2×C3×C4H(5,𝔽2)12yes—
1218#67—44no—
1219#67—44no—
1220#67—44no—
1221#67—44no—
1222#67—44no—
1223#67—44no—
1224#67—44no—
1225#67—44no—
1226#67—44no—
1227#67—82no—
1228#67—82no—
1229#67—82no—
1230#67—82no—
1231#67—82no—
1232#67—82no—
1233#67—82no—
1234#67—82no—
1235#67—82no—
1236#67—82no—
1237#67—82no—
1238#67—82no—
1239C2×Dic3—21no—
1240C2×Dic3—21no—
1241C2×Dic3—21no—
1242C2×Dic3—21no—
1243C2×Dic3—21no—
1244C2×Dic3—21no—
1245C2×Dic3—21no—
1246C2×Dic3—21no—
1247C2×Dic3—21no—
1248C2×Dic3—21no—
1249C2×Dic3—21no—
1250C2×Dic3—21no—
1251C2×Dic3—21no—
1252C2×Dic3—21no—
1253C2×Dic3—21no—
1254C2×Dic3—21no—
1255C2×Dic3—21no—
1256C2×Dic3—21no—
1257C2×Dic3—21no—
1258C2×Dic3—21no—
1259C2×Dic3—21no—
1260C2×Dic3—21no—
1261C2×Dic3—21no—
1262C2×Dic3—21no—
1263C2×Dic3—21no—
1264C2×Dic3—21no—
1265C2×Dic3—21no—
1266C2×Dic3—21no—
1267C2×Dic3—21no—
1268C2×Dic3—44no—
1269C2×Dic3—82no—
1270C2×Dic3C22×D412yes—
1271C2×Dic3C22×D412yes—
1272C2×Dic3C22×D412yes—
1273C2×Dic3H(5,𝔽2)12yes—
1274D12—44no—
1275D12—44no—
1276D12—44no—
1277D12—44no—
1278D12—82no—
1279D12—82no—
1280D12—82no—
1281D12—82no—
1282C4×D3—44no—
1283C4×D3—44no—
1284C4×D3—44no—
1285C4×D3—44no—
1286C4×D3—82no—
1287C24—22no—
1288C24—22no—
1289C24—31no—
1290C24—31no—
1291C24—31no—
1292C24—31no—
1293C24—31no—
1294C24—41no—
1295C24—41no—
1296C24—41no—
1297C24—41no—
1298C24—41no—
1299C24—62no—
1300C24—62no—
1301C24—62no—
1302C24—62no—
1303C24—62no—
1304C24—121no—
1305C24—121no—
1306C24—121no—
1307C24—121no—
1308C24—121no—
1309C24—121no—
1310C24—121no—
1311C24—121no—
1312C24—121no—
1313C24C23×D311yescharacteristic
1314C24C23×D311yescharacteristic
1315C24C23×D311yescharacteristic
1316C24C23×D311yescharacteristic
1317C24C23×D311yescharacteristic
1318#41—416no—
1319#41—1216no—
1320C2×Q8—22no—
1321C2×Q8—22no—
1322C2×Q8—22no—
1323C2×D4—22no—
1324C2×D4—22no—
1325C2×D4—22no—
1326C2×D4—22no—
1327C2×D4—22no—
1328C2×D4—22no—
1329C2×D4—22no—
1330C2×D4—22no—
1331C2×D4—34no—
1332C2×D4—34no—
1333C2×D4—41no—
1334C2×D4—41no—
1335C2×D4—41no—
1336C2×D4—41no—
1337C2×D4—41no—
1338C2×D4—41no—
1339C2×D4—41no—
1340C2×D4—41no—
1341C2×D4—41no—
1342C2×D4—41no—
1343C2×D4—41no—
1344C2×D4—41no—
1345C2×D4—62no—
1346C2×D4—62no—
1347C2×D4—62no—
1348C2×D4—62no—
1349C2×D4—62no—
1350C2×D4—62no—
1351C2×D4—62no—
1352C2×D4—62no—
1353C2×D4—62no—
1354C2×D4—62no—
1355C2×D4—62no—
1356C2×D4—62no—
1357C2×D4—62no—
1358C2×D4—62no—
1359C2×D4—62no—
1360C2×D4—62no—
1361C2×D4—62no—
1362C2×D4—62no—
1363C2×D4—62no—
1364C2×D4—62no—
1365C2×D4—62no—
1366C2×D4—62no—
1367C2×D4—62no—
1368C2×D4—62no—
1369C2×D4—62no—
1370C2×D4—62no—
1371C2×D4—62no—
1372C2×D4—62no—
1373C2×D4—62no—
1374C2×D4—62no—
1375C2×D4—121no—
1376C2×D4—121no—
1377C2×D4—121no—
1378C2×D4—121no—
1379C2×D4—121no—
1380C2×D4—121no—
1381C2×D4—121no—
1382C2×D4—121no—
1383C2×D4—121no—
1384C2×D4—121no—
1385C2×D4—121no—
1386C2×D4—121no—
1387C2×D4—121no—
1388C2×D4—121no—
1389C2×D4—121no—
1390C2×D4—121no—
1391C2×D4—121no—
1392C2×D4—121no—
1393C2×D4—121no—
1394C2×D4—121no—
1395C2×D4—121no—
1396C2×D4—121no—
1397C2×D4—121no—
1398C2×D4—121no—
1399C2×D4—121no—
1400C2×D4—121no—
1401C2×D4—121no—
1402C2×D4—121no—
1403C2×D4—121no—
1404C2×D4—121no—
1405C2×D4—121no—
1406C2×D4—121no—
1407C2×D4—121no—
1408C2×D4—121no—
1409C2×D4—121no—
1410C2×D4—121no—
1411C2×D4—121no—
1412C2×D4—121no—
1413C2×D4—121no—
1414C2×D4—121no—
1415C2×D4—121no—
1416C2×D4—121no—
1417C2×D4—121no—
1418C2×D4—121no—
1419C2×D4—121no—
1420C2×D4—121no—
1421C2×D4—121no—
1422C2×D4—121no—
1423C2×D4—121no—
1424C2×D4—121no—
1425C2×D4—121no—
1426C2×D4—121no—
1427C2×D4—121no—
1428C2×D4—121no—
1429C2×D4—121no—
1430C2×D4—1216no—
1431C2×D4—1216no—
1432C2×D4D3×D414yes—
1433C22×C4—22no—
1434C22×C4—22no—
1435C22×C4—22no—
1436C22×C4—22no—
1437C22×C4—22no—
1438C22×C4—31no—
1439C22×C4—31no—
1440C22×C4—31no—
1441C22×C4—31no—
1442C22×C4—34no—
1443C22×C4—31no—
1444C22×C4—31no—
1445C22×C4—31no—
1446C22×C4—31no—
1447C22×C4—31no—
1448C22×C4—31no—
1449C22×C4—31no—
1450C22×C4—41no—
1451C22×C4—41no—
1452C22×C4—41no—
1453C22×C4—41no—
1454C22×C4—41no—
1455C22×C4—41no—
1456C22×C4—41no—
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—121no—
1467C22×C4—121no—
1468C22×C4—121no—
1469C22×C4—121no—
1470C22×C4—121no—
1471C22×C4—121no—
1472C22×C4—121no—
1473C22×C4—121no—
1474C22×C4—121no—
1475C22×C4—121no—
1476C22×C4—121no—
1477C22×C4C23×D311yescharacteristic
1478C22×C4C23×D311yescharacteristic
1479C22×C4C23×D311yescharacteristic
1480C22×C4C23×D311yescharacteristic
1481C22×C4C23×D311yescharacteristic
1482C22×C4C23×D311yescharacteristic
1483C22×C4C23×D311yescharacteristic
1484C22×C4C23×D311yescharacteristic
1485C22×C4C23×D311yescharacteristic
1486C22×C4C23×D311yescharacteristic
1487C4⋊C4—34no—
1488C4⋊C4—62no—
1489C4⋊C4—62no—
1490C4⋊C4—62no—
1491C4⋊C4—62no—
1492C4⋊C4—62no—
1493C4⋊C4—62no—
1494C4⋊C4—62no—
1495C4⋊C4—62no—
1496C4⋊C4—121no—
1497C4⋊C4—121no—
1498C4⋊C4—121no—
1499C4⋊C4—121no—
1500C4⋊C4—121no—
1501C4⋊C4—121no—
1502C22⋊C4—22no—
1503C22⋊C4—22no—
1504C22⋊C4—22no—
1505C22⋊C4—22no—
1506C22⋊C4—22no—
1507C22⋊C4—22no—
1508C22⋊C4—22no—
1509C22⋊C4—34no—
1510C22⋊C4—34no—
1511C22⋊C4—41no—
1512C22⋊C4—41no—
1513C22⋊C4—41no—
1514C22⋊C4—41no—
1515C22⋊C4—41no—
1516C22⋊C4—41no—
1517C22⋊C4—41no—
1518C22⋊C4—62no—
1519C22⋊C4—62no—
1520C22⋊C4—62no—
1521C22⋊C4—62no—
1522C22⋊C4—62no—
1523C22⋊C4—62no—
1524C22⋊C4—62no—
1525C22⋊C4—62no—
1526C22⋊C4—62no—
1527C22⋊C4—62no—
1528C22⋊C4—62no—
1529C22⋊C4—62no—
1530C22⋊C4—62no—
1531C22⋊C4—62no—
1532C22⋊C4—62no—
1533C22⋊C4—62no—
1534C22⋊C4—62no—
1535C22⋊C4—62no—
1536C22⋊C4—62no—
1537C22⋊C4—62no—
1538C22⋊C4—62no—
1539C22⋊C4—121no—
1540C22⋊C4—121no—
1541C22⋊C4—121no—
1542C22⋊C4—121no—
1543C22⋊C4—121no—
1544C22⋊C4—121no—
1545C22⋊C4—121no—
1546C22⋊C4—121no—
1547C22⋊C4—121no—
1548C22⋊C4—121no—
1549C22⋊C4—121no—
1550C22⋊C4—121no—
1551C22⋊C4—121no—
1552C22⋊C4—121no—
1553C22⋊C4—121no—
1554C22⋊C4—121no—
1555C22⋊C4—121no—
1556C22⋊C4—121no—
1557C22⋊C4—121no—
1558C22⋊C4—121no—
1559C22⋊C4—121no—
1560C42—62no—
1561C42—62no—
1562C42—62no—
1563C42—121no—
1564C42—121no—
1565C22×C3—22no—
1566C22×C3—22no—
1567C22×C3—22no—
1568C22×C3—22no—
1569C22×C3—22no—
1570C22×C3—22no—
1571C22×C3—22no—
1572C22×C3—22no—
1573C22×C3—22no—
1574C22×C3—41no—
1575C22×C3—41no—
1576C22×C3—41no—
1577C22×C3—41no—
1578C22×C3—41no—
1579C22×C3—41no—
1580C22×C3—41no—
1581C22×C3—41no—
1582C22×C3—41no—
1583C22×C3—41no—
1584C22×C3—41no—
1585C22×C3—41no—
1586C22×C3—41no—
1587C22×C3—41no—
1588C22×C3—41no—
1589C22×C3—41no—
1590C22×C3—41no—
1591C22×C3—41no—
1592C22×C3—41no—
1593C22×C3—41no—
1594C22×C3—41no—
1595C22×C3—41no—
1596C22×C3—41no—
1597C22×C3—41no—
1598C22×C3—41no—
1599C22×C3—41no—
1600C22×C3—88no—
1601C22×C3C23×D411yescharacteristic
1602C22×C3C2×H(5,𝔽2)11yescharacteristic
1603C22×C3C2×H(5,𝔽2)11yescharacteristic
1604C22×C3C2×H(5,𝔽2)11yescharacteristic
1605C22×C3C2×H(5,𝔽2)11yescharacteristic
1606C22×C3C2×H(5,𝔽2)11yescharacteristic
1607C22×C3#58511yescharacteristic
1608C2×D3—22no—
1609C2×D3—22no—
1610C2×D3—22no—
1611C2×D3—22no—
1612C2×D3—22no—
1613C2×D3—22no—
1614C2×D3—41no—
1615C2×D3—41no—
1616C2×D3—41no—
1617C2×D3—41no—
1618C2×D3—41no—
1619C2×D3—41no—
1620C2×D3—41no—
1621C2×D3—41no—
1622C2×D3—41no—
1623C2×D3—41no—
1624C2×D3—41no—
1625C2×D3—41no—
1626C2×D3—41no—
1627C2×D3—41no—
1628C2×D3—41no—
1629C2×D3—41no—
1630C2×D3—41no—
1631C2×D3—41no—
1632C2×D3—41no—
1633C2×D3—41no—
1634C2×D3—41no—
1635C2×D3—41no—
1636C2×D3—41no—
1637C2×D3—41no—
1638C2×D3—41no—
1639C2×D3—41no—
1640C2×D3—41no—
1641C2×D3—41no—
1642C2×D3—41no—
1643C2×D3—88no—
1644C2×D3—88no—
1645C3×C4—22no—
1646C3×C4—22no—
1647C3×C4—22no—
1648C3×C4—41no—
1649C3×C4—41no—
1650C3×C4—41no—
1651C3×C4—41no—
1652C3×C4—41no—
1653C3×C4—41no—
1654C3×C4—41no—
1655Dic3—22no—
1656Dic3—22no—
1657Dic3—22no—
1658Dic3—22no—
1659Dic3—41no—
1660Dic3—41no—
1661Dic3—41no—
1662Dic3—41no—
1663Dic3—41no—
1664Dic3—41no—
1665Dic3—41no—
1666C23—21no—
1667C23—21no—
1668C23—21no—
1669C23—21no—
1670C23—21no—
1671C23—21no—
1672C23—21no—
1673C23—21no—
1674C23—21no—
1675C23—21no—
1676C23—21no—
1677C23—21no—
1678C23—21no—
1679C23—21no—
1680C23—21no—
1681C23—21no—
1682C23—21no—
1683C23—21no—
1684C23—21no—
1685C23—21no—
1686C23—21no—
1687C23—21no—
1688C23—21no—
1689C23—21no—
1690C23—21no—
1691C23—21no—
1692C23—21no—
1693C23—21no—
1694C23—21no—
1695C23—21no—
1696C23—21no—
1697C23—21no—
1698C23—32no—
1699C23—32no—
1700C23—44no—
1701C23—44no—
1702C23—68no—
1703C23—61no—
1704C23—61no—
1705C23—61no—
1706C23—61no—
1707C23—61no—
1708C23—61no—
1709C23—61no—
1710C23—61no—
1711C23—61no—
1712C23—61no—
1713C23—61no—
1714C23—61no—
1715C23—61no—
1716C23—61no—
1717C23—61no—
1718C23—61no—
1719C23—61no—
1720C23—61no—
1721C23—61no—
1722C23—61no—
1723C23—61no—
1724C23—61no—
1725C23—61no—
1726C23—61no—
1727C23—61no—
1728C23—61no—
1729C23—61no—
1730C23—61no—
1731C23—61no—
1732C23—61no—
1733C23—61no—
1734C23—61no—
1735C23—61no—
1736C23—82no—
1737C23—82no—
1738C23—82no—
1739C23—82no—
1740C23—82no—
1741C23—124no—
1742C23—124no—
1743C23—242no—
1744C23—242no—
1745C23—242no—
1746C23—242no—
1747C23—242no—
1748C23—242no—
1749C23—242no—
1750C23—242no—
1751C23—242no—
1752C23—242no—
1753C23—242no—
1754C23C2×D3×D412yes—
1755C23C2×D3×D412yes—
1756C23#100912yes—
1757C23C24×D311yescharacteristic
1758Q8—28no—
1759D4—44no—
1760D4—44no—
1761D4—44no—
1762D4—44no—
1763D4—82no—
1764D4—82no—
1765D4—82no—
1766D4—124no—
1767D4—124no—
1768D4—124no—
1769D4—124no—
1770D4—124no—
1771D4—124no—
1772D4—124no—
1773D4—124no—
1774D4—124no—
1775D4—124no—
1776D4—124no—
1777D4—124no—
1778D4—124no—
1779D4—242no—
1780D4—242no—
1781D4—242no—
1782D4—242no—
1783D4—242no—
1784D4—242no—
1785D4—242no—
1786D4—242no—
1787D4—242no—
1788D4—242no—
1789D4—242no—
1790D4—242no—
1791D4—242no—
1792D4—242no—
1793D4—242no—
1794D4—242no—
1795C2×C4—21no—
1796C2×C4—21no—
1797C2×C4—21no—
1798C2×C4—21no—
1799C2×C4—21no—
1800C2×C4—21no—
1801C2×C4—21no—
1802C2×C4—21no—
1803C2×C4—21no—
1804C2×C4—21no—
1805C2×C4—21no—
1806C2×C4—21no—
1807C2×C4—21no—
1808C2×C4—21no—
1809C2×C4—21no—
1810C2×C4—21no—
1811C2×C4—21no—
1812C2×C4—21no—
1813C2×C4—21no—
1814C2×C4—21no—
1815C2×C4—21no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—21no—
1822C2×C4—32no—
1823C2×C4—32no—
1824C2×C4—32no—
1825C2×C4—32no—
1826C2×C4—44no—
1827C2×C4—44no—
1828C2×C4—44no—
1829C2×C4—61no—
1830C2×C4—61no—
1831C2×C4—61no—
1832C2×C4—61no—
1833C2×C4—61no—
1834C2×C4—61no—
1835C2×C4—61no—
1836C2×C4—61no—
1837C2×C4—61no—
1838C2×C4—61no—
1839C2×C4—61no—
1840C2×C4—61no—
1841C2×C4—61no—
1842C2×C4—61no—
1843C2×C4—61no—
1844C2×C4—61no—
1845C2×C4—61no—
1846C2×C4—61no—
1847C2×C4—61no—
1848C2×C4—61no—
1849C2×C4—61no—
1850C2×C4—61no—
1851C2×C4—61no—
1852C2×C4—61no—
1853C2×C4—61no—
1854C2×C4—61no—
1855C2×C4—61no—
1856C2×C4—61no—
1857C2×C4—61no—
1858C2×C4—82no—
1859C2×C4—124no—
1860C2×C4—124no—
1861C2×C4—124no—
1862C2×C4—124no—
1863C2×C4—124no—
1864C2×C4—242no—
1865C2×C4—242no—
1866C2×C4C2×D3×D412yes—
1867C2×C4#100412yes—
1868C2×C4#100412yes—
1869C2×C3—42no—
1870C2×C3—42no—
1871C2×C3—42no—
1872C2×C3—81no—
1873C2×C3—81no—
1874C2×C3#348411yescharacteristic
1875C2×C3#348411yescharacteristic
1876C2×C3#348811yescharacteristic
1877C2×C3#354211yescharacteristic
1878C2×C3#354211yescharacteristic
1879C2×C3#354311yescharacteristic
1880C2×C3#354311yescharacteristic
1881D3—42no—
1882D3—42no—
1883D3—81no—
1884D3—81no—
1885D3—81no—
1886C22—22no—
1887C22—22no—
1888C22—22no—
1889C22—22no—
1890C22—22no—
1891C22—22no—
1892C22—22no—
1893C22—22no—
1894C22—22no—
1895C22—41no—
1896C22—41no—
1897C22—41no—
1898C22—41no—
1899C22—41no—
1900C22—41no—
1901C22—41no—
1902C22—41no—
1903C22—41no—
1904C22—41no—
1905C22—41no—
1906C22—41no—
1907C22—41no—
1908C22—41no—
1909C22—41no—
1910C22—41no—
1911C22—41no—
1912C22—41no—
1913C22—41no—
1914C22—41no—
1915C22—41no—
1916C22—41no—
1917C22—41no—
1918C22—41no—
1919C22—41no—
1920C22—41no—
1921C22—62no—
1922C22—62no—
1923C22—62no—
1924C22—62no—
1925C22—62no—
1926C22—62no—
1927C22—88no—
1928C22—121no—
1929C22—121no—
1930C22—121no—
1931C22—121no—
1932C22—121no—
1933C22—121no—
1934C22—121no—
1935C22—121no—
1936C22—121no—
1937C22—121no—
1938C22—121no—
1939C22—121no—
1940C22—121no—
1941C22—121no—
1942C22—121no—
1943C22—121no—
1944C22—121no—
1945C22—121no—
1946C22—121no—
1947C22—121no—
1948C22—121no—
1949C22—121no—
1950C22—121no—
1951C22—121no—
1952C22—121no—
1953C22—121no—
1954C22—121no—
1955C22—121no—
1956C22—121no—
1957C22—248no—
1958C22—248no—
1959C22C22×D3×D411yescharacteristic
1960C22C2×#100411yescharacteristic
1961C22C2×#100411yescharacteristic
1962C22C2×#100911yescharacteristic
1963C22#596411yescharacteristic
1964C22D3×H(5,𝔽2)11yescharacteristic
1965C22D3×H(5,𝔽2)11yescharacteristic
1966C4—22no—
1967C4—22no—
1968C4—22no—
1969C4—41no—
1970C4—41no—
1971C4—41no—
1972C4—41no—
1973C4—41no—
1974C4—41no—
1975C4—41no—
1976C4—62no—
1977C4—62no—
1978C4—62no—
1979C4—62no—
1980C4—121no—
1981C4—121no—
1982C4—121no—
1983C4—121no—
1984C4—121no—
1985C4—121no—
1986C4—121no—
1987C3#4783111yescharacteristic, complemented, Sylow
1988C2—42no—
1989C2—42no—
1990C2—42no—
1991C2—81no—
1992C2—81no—
1993C2—122no—
1994C2—122no—
1995C2—241no—
1996C2—241no—
1997C2—241no—
1998C2#8591911yescharacteristic
1999C2#8605811yescharacteristic
2000C2#8633611yescharacteristic
2001C2#8662911yescharacteristic
2002C2#8664911yescharacteristic
2003C2#8665111yescharacteristic
2004C2#8666211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2404C2
hypercenter#2404D3
hypocenterC3#47831
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2404

Complements

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

NH ≅ G/Ntype
1. C2×#5834C2semidirect
2. C2×#5589C2semidirect
3. C3×#2404C2semidirect
4. #84096C2semidirect
5. #82609C2semidirect
6. #82594C2semidirect
7. #82588C2semidirect
8. #82127C2semidirect
9. #82109C2semidirect
10. #76863C2semidirect
11. #76809C2semidirect
12. #76785C2semidirect
13. #76784C2semidirect
14. #76769C2semidirect
15. #76765C2semidirect
16. #76710C2semidirect
17. #76673C2semidirect
18. #74915C2semidirect
19. #74915C2semidirect
20. #74913C2semidirect
21. #74912C2semidirect
22. #74908C2semidirect
23. #74901C2semidirect
24. #74893C2semidirect
25. #74888C2semidirect
26. #74883C2semidirect
27. #74810C2semidirect
28. #74792C2semidirect
29. #74714C2semidirect
30. #74097C2semidirect
31. #74069C2semidirect
33. C22×C3×#41C22semidirect
35. C22×#239C22semidirect
38. C2×C3×#120C22semidirect
39. C22×C3×C22⋊C4C22semidirect
41. C2×#953C22semidirect
42. C2×#953C22semidirect
44. C2×Q8×Dic3C22semidirect
47. C2×#940C22semidirect
48. C2×#940C22semidirect
49. C2×#940C22semidirect
51. C2×#939C22semidirect
52. C2×#939C22semidirect
55. C2×#938C22semidirect
56. C2×#938C22semidirect
60. C2×#937C22semidirect
63. C2×#930C22semidirect
64. C2×#930C22semidirect
65. C2×#930C22semidirect
66. C2×#930C22semidirect
67. C2×C4×#67C22semidirect
68. C2×C4×#67C22semidirect
69. C2×C4×#67C22semidirect
70. C22×(C2×D3)⋊C4C22semidirect
75. C2×#884C22semidirect
76. C2×#884C22semidirect
77. C2×#884C22semidirect
80. C2×#883C22semidirect
83. C2×#882C22semidirect
84. C2×#882C22semidirect
86. C3×#393C22semidirect
87. C3×#393C22semidirect
89. C3×#392C22semidirect
91. C3×#386C22semidirect
92. C3×#386C22semidirect
93. C3×#386C22semidirect
94. C3×#386C22semidirect
95. C3×#386C22semidirect
96. C3×#381C22semidirect
97. #5231C22semidirect
98. #5231C22semidirect
101. #5223C22semidirect
102. #5223C22semidirect
103. #5223C22semidirect
104. #5223C22semidirect
105. #5223C22semidirect
106. #5222C22semidirect
107. #5220C22semidirect
108. #5220C22semidirect
110. #5213C22semidirect
111. #5213C22semidirect
112. #5213C22semidirect
113. #5213C22semidirect
114. #5211C22semidirect
115. #5210C22semidirect
118. #4961C22semidirect
119. #4961C22semidirect
120. #4961C22semidirect
121. #4961C22semidirect
125. #4960C22semidirect
126. #4960C22semidirect
127. #4960C22semidirect
128. #4960C22semidirect
129. #4960C22semidirect
130. #4960C22semidirect
131. #4960C22semidirect
132. #4959C22semidirect
133. #4959C22semidirect
134. #4959C22semidirect
135. #4959C22semidirect
136. #4959C22semidirect
137. #4959C22semidirect
138. #4958C22semidirect
139. #4958C22semidirect
142. #4957C22semidirect
143. #4957C22semidirect
144. #4956C22semidirect
145. #4956C22semidirect
147. #4951C22semidirect
148. #4951C22semidirect
149. #4950C22semidirect
150. #4949C22semidirect
151. #4948C22semidirect
152. #4946C22semidirect
153. #4945C22semidirect
154. #4944C22semidirect
155. #4944C22semidirect
156. #4944C22semidirect
157. Dic3×C22⋊C4C22semidirect
158. #4676C22semidirect
159. #4672C22semidirect
160. #4672C22semidirect
161. #4671C22semidirect
162. #4671C22semidirect
163. #4671C22semidirect
164. #4671C22semidirect
165. #4670C22semidirect
166. #4670C22semidirect
167. #4670C22semidirect
168. #4670C22semidirect
169. #4669C22semidirect
170. #4669C22semidirect
171. #4668C22semidirect
172. #4667C22semidirect
173. #4667C22semidirect
174. #4667C22semidirect
175. #4666C22semidirect
176. #4665C22semidirect
177. #4665C22semidirect
178. #4665C22semidirect
179. #4665C22semidirect
180. #4665C22semidirect
181. #4664C22semidirect
182. #4664C22semidirect
183. #4661C22semidirect
184. #4658C22semidirect
185. #4657C22semidirect
186. #4655C22semidirect
187. #4654C22semidirect
188. #4654C22semidirect
189. #4653C22semidirect
219. #2404D3semidirect
331. #938D4semidirect
436. C22×#41C2×D3semidirect
480. C2×#120C2×D3semidirect
487. C22×C22⋊C4C2×D3semidirect
511. #393C2×D3semidirect
512. #393C2×D3semidirect
535. #392C2×D3semidirect
573. #386C2×D3semidirect
574. #386C2×D3semidirect
575. #386C2×D3semidirect
576. #386C2×D3semidirect
577. #386C2×D3semidirect
585. #381C2×D3semidirect
1987. C3#47831semidirect

Maximal subgroups

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

subgroupindex
C2×#58342
C2×#55892
C3×#24042
#840962
#826092
#825942
#825882
#821272
#821092
#768632
#768092
#767852
#767842
#767692
#767652
#767102
#766732
#749152
#749132
#749122
#749082
#749012
#748932
#748882
#748832
#748102
#747922
#747142
#740972
#740692
#478313