Finite Group Databasebeta

← #11633556

Subgroups — #11633556

Order 768.

2824 conjugacy classes of subgroups.

The subgroup lattice has 1722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5824C211yesmaximal, characteristic, complemented
2C2×#5586C211yesmaximal, characteristic, complemented
3C3×#2404C211yesmaximal, characteristic, complemented
4#84088C211yesmaximal, characteristic, complemented
5#82590C211yesmaximal, characteristic, complemented
6#82581C211yesmaximal, characteristic, complemented
7Dic3×#120C211yesmaximal, characteristic, complemented
8#82129C211yesmaximal, characteristic, complemented
9C2×#4942C211yesmaximal, characteristic, complemented
10#76878C211yesmaximal, characteristic, complemented
11#76866C211yesmaximal, characteristic, complemented
12#76793C211yesmaximal, characteristic, complemented
13#76782C211yesmaximal, characteristic, complemented
14#76718C211yesmaximal, characteristic, complemented
15#76686C211yesmaximal, characteristic, complemented
16#76678C211yesmaximal, characteristic, complemented
17#76668C211yesmaximal, characteristic, complemented
18#74804C211yesmaximal, characteristic, complemented
19#74797C211yesmaximal, characteristic, complemented
20#74713C211yesmaximal, characteristic, complemented
21#74711C211yesmaximal, characteristic, complemented
22#74695C211yesmaximal, characteristic, complemented
23#74694C211yesmaximal, characteristic, complemented
24#74693C211yesmaximal, characteristic, complemented
25#74693C211yesmaximal, characteristic, complemented
26#74676C211yesmaximal, characteristic, complemented
27#74673C211yesmaximal, characteristic, complemented
28#74672C211yesmaximal, characteristic, complemented
29#74672C211yesmaximal, characteristic, complemented
30#74079C211yesmaximal, characteristic, complemented
31#74065C211yesmaximal, characteristic, complemented
32#59023—31nomaximal, Sylow
33C22×C3×#41C2211yescharacteristic
34C24×Dic3C2211yescharacteristic
35C22×#237C2211yescharacteristic
36C22×#237C2211yescharacteristic
37C2×C3×#120C2211yescharacteristic
38C2×C3×#120C2211yescharacteristic
39C22×C3×C22⋊C4C2211yescharacteristic
40C2×#953C2211yescharacteristic
41C22×#217C2211yescharacteristic
42#5824—28no—
43C2×#946C2211yescharacteristic, complemented
44C2×#944C2211yescharacteristic, complemented
45C2×#939C2211yescharacteristic
46C2×#939C2211yescharacteristic
47C2×#939C2211yescharacteristic, complemented
48C2×#935C2211yescharacteristic
49C2×#935C2211yescharacteristic
50C2×#935C2211yescharacteristic, complemented
51C2×D4×Dic3C2211yescharacteristic
52C2×D4×Dic3C2211yescharacteristic
53C2×D4×Dic3C2211yescharacteristic
54C2×D4×Dic3C2211yescharacteristic
55C2×D4×Dic3C2211yescharacteristic
56C2×D4×Dic3C2211yescharacteristic
57C2×#929C2211yescharacteristic
58C2×#929C2211yescharacteristic, complemented
59C2×C4×#67C2211yescharacteristic
60C2×C4×#67C2211yescharacteristic, complemented
61C2×#924C2211yescharacteristic, complemented
62C22×Dic3⋊C4C2211yescharacteristic
63C22×Dic3⋊C4C2211yescharacteristic
64C22×Dic3⋊C4C2211yescharacteristic, complemented
65#5586—28no—
66C2×#886C2211yescharacteristic
67C2×#67⋊C4C2211yescharacteristic
68C2×#67⋊C4C2211yescharacteristic
69C2×#67⋊C4C2211yescharacteristic, complemented
70C2×#878C2211yescharacteristic
71C2×#878C2211yescharacteristic
72C2×#878C2211yescharacteristic, complemented
73C2×#877C2211yescharacteristic
74C3×#393C2211yescharacteristic
75C3×#393C2211yescharacteristic
76C3×#392C2211yescharacteristic
77C3×#392C2211yescharacteristic
78C3×#386C2211yescharacteristic
79C3×#386C2211yescharacteristic
80C3×#386C2211yescharacteristic
81C3×#386C2211yescharacteristic
82C3×#386C2211yescharacteristic
83C3×#386C2211yescharacteristic
84C3×#381C2211yescharacteristic
85#5247C2211yescharacteristic
86#5229C2211yescharacteristic, complemented
87#5229C2211yescharacteristic, complemented
88#5223C2211yescharacteristic
89#5223C2211yescharacteristic
90#5222C2211yescharacteristic
91#5222C2211yescharacteristic
92#5220C2211yescharacteristic
93#5220C2211yescharacteristic
94#5220C2211yescharacteristic
95#5220C2211yescharacteristic
96#5220C2211yescharacteristic
97#5220C2211yescharacteristic
98#5220C2211yescharacteristic
99#5220C2211yescharacteristic
100#5220C2211yescharacteristic, complemented
101#5220C2211yescharacteristic, complemented
102#5212C2211yescharacteristic
103#5212C2211yescharacteristic, complemented
104#5211C2211yescharacteristic
105#5211C2211yescharacteristic, complemented
106C4×#217C2211yescharacteristic, complemented
107C2×C3⋊#95C2211yescharacteristic
108C2×C3⋊#95C2211yescharacteristic
109C2×C3⋊#95C2211yescharacteristic, complemented
110#4961C2211yescharacteristic
111#4961C2211yescharacteristic
112#4958C2211yescharacteristic
113#4957C2211yescharacteristic, complemented
114#4956C2211yescharacteristic
115#4956C2211yescharacteristic
116#4956C2211yescharacteristic
117#4956C2211yescharacteristic
118#4956C2211yescharacteristic, complemented
119#4956C2211yescharacteristic, complemented
120#4953C2211yescharacteristic, complemented
121#4953C2211yescharacteristic, complemented
122#4950C2211yescharacteristic
123#4950C2211yescharacteristic
124#4950C2211yescharacteristic
125#4950C2211yescharacteristic, complemented
126#4948C2211yescharacteristic
127#4948C2211yescharacteristic
128#4948C2211yescharacteristic
129#4948C2211yescharacteristic
130#4948C2211yescharacteristic, complemented
131#4948C2211yescharacteristic, complemented
132#4947C2211yescharacteristic
133#4947C2211yescharacteristic
134#4946C2211yescharacteristic, complemented
135#4945C2211yescharacteristic
136#4945C2211yescharacteristic
137#4945C2211yescharacteristic, complemented
138#4944C2211yescharacteristic
139#4944C2211yescharacteristic
140#4943C2211yescharacteristic
141#4943C2211yescharacteristic
142#4943C2211yescharacteristic, complemented
143#4942C2211yescharacteristic
144#4942C2211yescharacteristic
145#4942C2211yescharacteristic
146#4942C2211yescharacteristic
147#4942C2211yescharacteristic
148#4942C2211yescharacteristic
149#4942C2211yescharacteristic
150#4942C2211yescharacteristic
151#4942C2211yescharacteristic
152#4942C2211yescharacteristic, complemented
153#4942C2211yescharacteristic, complemented
154Dic3×C22⋊C4C2211yescharacteristic
155Dic3×C22⋊C4C2211yescharacteristic
156Dic3×C22⋊C4C2211yescharacteristic
157Dic3×C22⋊C4C2211yescharacteristic, complemented
158#4675C2211yescharacteristic, complemented
159#4674C2211yescharacteristic, complemented
160#4669C2211yescharacteristic, complemented
161#4668C2211yescharacteristic, complemented
162#4668C2211yescharacteristic, complemented
163#4664C2211yescharacteristic, complemented
164#4664C2211yescharacteristic, complemented
165D3×#95C2211yescharacteristic, complemented
166#4661C2211yescharacteristic, complemented
167#4661C2211yescharacteristic, complemented
168#4660C2211yescharacteristic, complemented
169#4660C2211yescharacteristic, complemented
170#4659C2211yescharacteristic, complemented
171#4658C2211yescharacteristic, complemented
172#4658C2211yescharacteristic, complemented
173#4658C2211yescharacteristic, complemented
174#4657C2211yescharacteristic, complemented
175#4657C2211yescharacteristic, complemented
176#4654C2211yescharacteristic, complemented
177#4653C2211yescharacteristic, complemented
178#4653C2211yescharacteristic, complemented
179#4652C2211yescharacteristic, complemented
180#4650C2211yescharacteristic, complemented
181#4650C2211yescharacteristic, complemented
182#4649C2211yescharacteristic, complemented
183#4647C2211yescharacteristic, complemented
184#4647C2211yescharacteristic, complemented
185#4646C2211yescharacteristic, complemented
186#4646C2211yescharacteristic, complemented
187#4646C2211yescharacteristic, complemented
188#4646C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#547—31no—
191C2×#525—31no—
192#2693—31no—
193#2693—31no—
194#2687—31no—
195#2687—31no—
196#2535—31no—
197#2534—31no—
198#2534—31no—
199#2503—31no—
200#2492—31no—
201#2457—31no—
202#2457—31no—
203#2450—31no—
204#2450—31no—
205#2439—31no—
206#2420—31no—
207#2419—31no—
208#2419—31no—
209#2417—31no—
210#2417—31no—
211#2407—31no—
212#2404—31no—
213#2404D311yescharacteristic, complemented
214#2361—31no—
215#2352—31no—
216#2339—31no—
217#2339—31no—
218#2339—31no—
219C4×#120—31no—
220C2×#380—31no—
221C25×C3C2311yescharacteristic
222C2×C3×#41—24no—
223C2×C3×#41—24no—
224C2×C3×#41—42no—
225C22×C3×Q8C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C22×C3×D4C2311yescharacteristic
229C22×C3×D4C2311yescharacteristic
230C22×C3×D4C2311yescharacteristic
231C22×C3×D4C2311yescharacteristic
232C22×C3×D4C2311yescharacteristic
233C23×C3×C4C2311yescharacteristic
234C23×C3×C4C2311yescharacteristic
235C23×C3×C4C2311yescharacteristic
236C23×C3×C4C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C22×#67C2311yescharacteristic
242C23×Dic3—24no—
243C23×Dic3—24no—
244C23×Dic3—42no—
245C23×Dic3C2311yescharacteristic
246C23×Dic3C2311yescharacteristic
247C23×Dic3C2311yescharacteristic
248C23×Dic3C2311yescharacteristic
249C23×Dic3C2311yescharacteristic
250C23×Dic3C2311yescharacteristic
251C23×Dic3C2311yescharacteristic
252C23×Dic3C2311yescharacteristic
253C23×Dic3C2311yescharacteristic
254C23×Dic3C2311yescharacteristic
255C23×Dic3C2311yescharacteristic
256C23×Dic3C2311yescharacteristic
257C2×#237—24no—
258C2×#237—24no—
259C2×#237—24no—
260C2×#237—24no—
261C2×#237—42no—
262C2×#237—42no—
263C22×C4×D3C2311yescharacteristic
264C22×C4×D3C2311yescharacteristic
265C22×C4×D3C2311yescharacteristic
266C22×Dic6C2311yescharacteristic
267C22×Dic6C2311yescharacteristic
268C3×#120—24no—
269C3×#120—24no—
270C2×C3×C22⋊C4—42no—
271C2×C3×C22⋊C4C2311yescharacteristic
272C2×C3×C22⋊C4C2311yescharacteristic
273C2×C3×C22⋊C4C2311yescharacteristic
274C2×C3×C22⋊C4C2311yescharacteristic
275C2×C3×C22⋊C4C2311yescharacteristic
276C2×C3×C22⋊C4C2311yescharacteristic
277C2×C3×C22⋊C4C2311yescharacteristic
278C2×C3×C22⋊C4C2311yescharacteristic
279C2×C3×C22⋊C4C2311yescharacteristic
280C2×C3×C22⋊C4C2311yescharacteristic
281C2×C3×C22⋊C4C2311yescharacteristic
282C2×C3×C22⋊C4C2311yescharacteristic
283C2×C3×C22⋊C4C2311yescharacteristic
284C2×C3×C22⋊C4C2311yescharacteristic
285#953—24no—
286C2×#217—42no—
287C2×#217C2311yescharacteristic
288C2×#217C2311yescharacteristic
289C2×#217C2311yescharacteristic
290C2×#217C2311yescharacteristic
291C2×#217C2311yescharacteristic
292C2×#217C2311yescharacteristic
293C2×#217C2311yescharacteristic
294C2×#217C2311yescharacteristic
295C2×#217C2311yescharacteristic
296C2×#217C2311yescharacteristic
297C2×#217C2311yescharacteristic
298C2×#217C2311yescharacteristic
299C2×#217C2311yescharacteristic
300C2×#217C2311yescharacteristic
301C2×#217C2311yescharacteristic
302C2×#217C2311yescharacteristic
303C2×#217C2311yescharacteristic
304C2×#217C2311yescharacteristic
305C2×#217C2311yescharacteristic
306C2×#217C2311yescharacteristic
307C2×#217C2311yescharacteristic
308C2×#217C2311yescharacteristic
309C2×#217C2311yescharacteristic
310#946—24no—
311#944—24no—
312#939—24no—
313#939—24no—
314#939D418yescomplemented
315#935—24no—
316#935—24no—
317#935—24no—
318D4×Dic3—24no—
319D4×Dic3—24no—
320D4×Dic3—24no—
321D4×Dic3—24no—
322D4×Dic3—42no—
323D4×Dic3—42no—
324#929—24no—
325#929—24no—
326C4×#67—24no—
327C4×#67—42no—
328C2×(C2×D3)⋊C4C2311yescharacteristic
329C2×(C2×D3)⋊C4C2311yescharacteristic
330C2×(C2×D3)⋊C4C2311yescharacteristic
331C2×(C2×D3)⋊C4C2311yescharacteristic
332C2×(C2×D3)⋊C4C2311yescharacteristic
333C2×(C2×D3)⋊C4C2311yescharacteristic
334C2×(C2×D3)⋊C4C2311yescharacteristic
335C2×C4⋊Dic3C2311yescharacteristic
336C2×C4⋊Dic3C2311yescharacteristic
337C2×C4⋊Dic3C2311yescharacteristic
338C2×C4⋊Dic3C2311yescharacteristic
339C2×C4⋊Dic3C2311yescharacteristic
340C2×C4⋊Dic3C2311yescharacteristic
341C2×C4⋊Dic3C2311yescharacteristic
342C2×C4⋊Dic3C2311yescharacteristic
343#924—24no—
344C2×Dic3⋊C4—24no—
345C2×Dic3⋊C4—24no—
346C2×Dic3⋊C4—42no—
347C2×Dic3⋊C4C2311yescharacteristic
348C2×Dic3⋊C4C2311yescharacteristic
349C2×Dic3⋊C4C2311yescharacteristic
350C2×Dic3⋊C4C2311yescharacteristic
351C2×Dic3⋊C4C2311yescharacteristic
352C2×Dic3⋊C4C2311yescharacteristic
353C2×Dic3⋊C4C2311yescharacteristic
354C2×Dic3⋊C4C2311yescharacteristic
355C2×Dic3⋊C4C2311yescharacteristic
356C2×Dic3⋊C4C2311yescharacteristic
357C2×Dic3⋊C4C2311yescharacteristic
358C2×Dic3⋊C4C2311yescharacteristic
359C2×Dic3⋊C4C2311yescharacteristic
360C2×Dic3⋊C4C2311yescharacteristic
361C2×Dic3⋊C4C2311yescharacteristic
362C2×Dic3⋊C4C2311yescharacteristic
363C2×Dic3⋊C4C2311yescharacteristic
364C2×Dic3⋊C4C2311yescharacteristic
365C2×Dic3⋊C4C2311yescharacteristic
366C2×C4×Dic3C2311yescharacteristic
367C2×C4×Dic3C2311yescharacteristic
368C2×C4×Dic3C2311yescharacteristic
369C2×C4×Dic3C2311yescharacteristic
370C2×C4×Dic3C2311yescharacteristic
371C2×C4×Dic3C2311yescharacteristic
372C2×C4×Dic3C2311yescharacteristic
373#886—24no—
374#67⋊C4—24no—
375#67⋊C4—24no—
376#67⋊C4—42no—
377#878—24no—
378#878—24no—
379#878—42no—
380#877—24no—
381C3×#95C2311yescharacteristic
382C3×#95C2311yescharacteristic
383C3×#95C2311yescharacteristic
384C3×#95C2311yescharacteristic
385C3×#95C2311yescharacteristic
386C3×#95C2311yescharacteristic
387C3×#95C2311yescharacteristic
388C3×#95C2311yescharacteristic
389C3⋊#95C2311yescharacteristic
390C3⋊#95C2311yescharacteristic
391C3⋊#95C2311yescharacteristic
392C3⋊#95C2311yescharacteristic
393C3⋊#95C2311yescharacteristic
394C3⋊#95C2311yescharacteristic
395C3⋊#95C2311yescharacteristic
396C3⋊#95C2311yescharacteristic
397C3⋊#95C2311yescharacteristic
398C3⋊#95C2311yescharacteristic
399C3⋊#95C2311yescharacteristic
400C3⋊#95C2311yescharacteristic
401C3⋊#95C2311yescharacteristic
402C3⋊#95C2311yescharacteristic
403C3⋊#95C2311yescharacteristic
404C3⋊#95C2311yescharacteristic
405C3⋊#95C2311yescharacteristic
406C3⋊#95C2311yescharacteristic
407C3⋊#95C2311yescharacteristic
408C3⋊#95C2311yescharacteristic
409C3⋊#95C2311yescharacteristic
410C3⋊#95C2311yescharacteristic
411C3⋊#95C2311yescharacteristic
412C3⋊#95C2311yescharacteristic
413C3⋊#95C2311yescharacteristic
414C3⋊#95C2311yescharacteristic
415C3⋊#95C2311yescharacteristic
416C3⋊#95C2311yescharacteristic
417C3⋊#95C2311yescharacteristic
418C3⋊#95C2311yescharacteristic
419C3⋊#95C2311yescharacteristic
420C3⋊#95C2311yescharacteristic
421C3⋊#95C2311yescharacteristic
422C3⋊#95C2311yescharacteristic
423C22×#41—31no—
424C22×#41—31no—
425C22×#41C2×D311yescharacteristic
426C24×C4—31no—
427#547—68no—
428C2×C4⋊Q8—31no—
429#525—68no—
430C2×#123—31no—
431C2×#123—31no—
432C2×#123—31no—
433C2×#123—31no—
434C2×#123—31no—
435C2×#123—31no—
436C2×C22⋊Q8—31no—
437C2×C22⋊Q8—31no—
438C2×C22⋊Q8—31no—
439C2×C22⋊Q8—31no—
440C2×C22⋊Q8—31no—
441C2×#121—31no—
442C2×#121—31no—
443C2×#121—31no—
444C2×#120—31no—
445C2×#120C2×D311yescharacteristic
446C2×#120C2×D311yescharacteristic
447C2×C4×D4—31no—
448C2×C4×D4—31no—
449C2×C4×D4—31no—
450C2×C4×D4—31no—
451C2×C4×D4—31no—
452C2×C4×D4—31no—
453C2×C4×D4—31no—
454C2×C4×D4—31no—
455C2×C4×D4—31no—
456C2×C4×D4—31no—
457C2×C4×D4—31no—
458C2×#117—31no—
459C22×C4⋊C4—31no—
460C22×C4⋊C4—31no—
461C22×C4⋊C4—31no—
462C22×C22⋊C4—31no—
463C22×C22⋊C4C2×D311yescharacteristic
464#400—31no—
465#400—31no—
466#400—31no—
467#400—31no—
468#400—31no—
469#400—31no—
470#398—31no—
471#398—31no—
472#398—31no—
473#398—31no—
474#397—31no—
475#397—31no—
476#397—31no—
477#397—31no—
478#396—31no—
479#396—31no—
480#396—31no—
481#396—31no—
482#396—31no—
483#396—31no—
484#394—31no—
485#394—31no—
486#394—31no—
487#394—31no—
488#393—31no—
489#393—31no—
490#393C2×D311yescharacteristic
491#393C2×D311yescharacteristic
492#392—31no—
493#392—31no—
494#392C2×D311yescharacteristic
495#392C2×D311yescharacteristic
496#391—31no—
497#391—31no—
498#391—31no—
499#391—31no—
500#391—31no—
501#391—31no—
502#391—31no—
503#390—31no—
504#389—31no—
505#389—31no—
506#388—31no—
507#388—31no—
508#388—31no—
509#388—31no—
510#388—31no—
511#388—31no—
512#387—31no—
513#387—31no—
514#387—31no—
515#387—31no—
516#386—31no—
517#386—31no—
518#386—31no—
519#386—31no—
520#386—31no—
521#386—31no—
522#386—31no—
523#386—31no—
524#386—31no—
525#386—31no—
526#386—31no—
527#386—31no—
528#386—31no—
529#386—31no—
530#386—31no—
531#386—31no—
532#386—31no—
533#386C2×D311yescharacteristic
534#386C2×D311yescharacteristic
535#386C2×D311yescharacteristic
536#386C2×D311yescharacteristic
537#386C2×D311yescharacteristic
538#386C2×D311yescharacteristic
539#385—31no—
540#385—31no—
541#385—31no—
542#385—31no—
543#385—31no—
544#385—31no—
545#385—31no—
546#382—31no—
547#382—31no—
548#381—31no—
549#381—31no—
550#381—31no—
551#381—31no—
552#381—31no—
553#381—31no—
554#381—31no—
555#381C2×D311yescharacteristic
556#380—31no—
557#380—31no—
558#380—31no—
559#380—31no—
560#380—31no—
561#380—31no—
562#380—31no—
563#380—31no—
564#380—31no—
565#380—31no—
566#380—31no—
567#380—31no—
568#380—31no—
569#379—31no—
570C4×C4⋊C4—31no—
571C4×C22⋊C4—31no—
572C4×C22⋊C4—31no—
573C4×C22⋊C4—31no—
574C4×C22⋊C4—31no—
575C4×C22⋊C4—31no—
576C2×#95—31no—
577C2×#95—31no—
578C2×#95—31no—
579C2×#95—31no—
580C24×C3—22no—
581C24×C3—22no—
582C24×C3—22no—
583C24×C3—22no—
584C24×C3—22no—
585C24×C3—41no—
586C24×C3—41no—
587C24×C3C2411yescharacteristic
588C24×C3C2411yescharacteristic
589C24×C3C2411yescharacteristic
590C24×C3C2411yescharacteristic
591C24×C3C2411yescharacteristic
592C23×D3C2411yescharacteristic
593C3×#41—416no—
594C2×C3×Q8—22no—
595C2×C3×Q8—22no—
596C2×C3×Q8—41no—
597C2×C3×D4—22no—
598C2×C3×D4—22no—
599C2×C3×D4—22no—
600C2×C3×D4—22no—
601C2×C3×D4—22no—
602C2×C3×D4—22no—
603C2×C3×D4—22no—
604C2×C3×D4—22no—
605C2×C3×D4—22no—
606C2×C3×D4—22no—
607C2×C3×D4—22no—
608C2×C3×D4—22no—
609C2×C3×D4—22no—
610C2×C3×D4—22no—
611C2×C3×D4—41no—
612C2×C3×D4—41no—
613C2×C3×D4—41no—
614C2×C3×D4—41no—
615C2×C3×D4—41no—
616C2×C3×D4C2×D414yes—
617C2×C3×D4#4114yescomplemented
618C22×C3×C4—22no—
619C22×C3×C4—22no—
620C22×C3×C4—22no—
621C22×C3×C4—22no—
622C22×C3×C4—22no—
623C22×C3×C4—22no—
624C22×C3×C4—22no—
625C22×C3×C4—22no—
626C22×C3×C4—41no—
627C22×C3×C4—41no—
628C22×C3×C4—41no—
629C22×C3×C4—41no—
630C22×C3×C4C2411yescharacteristic
631C22×C3×C4C2411yescharacteristic
632C22×C3×C4C2411yescharacteristic
633C22×C3×C4C2411yescharacteristic
634C22×C3×C4C2411yescharacteristic
635C22×C3×C4C2411yescharacteristic
636C22×C3×C4C2411yescharacteristic
637C22×C3×C4C2411yescharacteristic
638C22×C3×C4C2411yescharacteristic
639C22×C3×C4C2411yescharacteristic
640C2×#67—22no—
641C2×#67—22no—
642C2×#67—22no—
643C2×#67—22no—
644C2×#67—22no—
645C2×#67—22no—
646C2×#67—22no—
647C2×#67—22no—
648C2×#67—22no—
649C2×#67—22no—
650C2×#67—41no—
651C2×#67—41no—
652C2×#67—41no—
653C2×#67C2×D414yes—
654C2×#67C2×D414yes—
655C22×Dic3—22no—
656C22×Dic3—22no—
657C22×Dic3—22no—
658C22×Dic3—22no—
659C22×Dic3—22no—
660C22×Dic3—22no—
661C22×Dic3—22no—
662C22×Dic3—22no—
663C22×Dic3—22no—
664C22×Dic3—22no—
665C22×Dic3—22no—
666C22×Dic3—22no—
667C22×Dic3—22no—
668C22×Dic3—22no—
669C22×Dic3—22no—
670C22×Dic3—22no—
671C22×Dic3—22no—
672C22×Dic3—22no—
673C22×Dic3—22no—
674C22×Dic3—22no—
675C22×Dic3—22no—
676C22×Dic3—22no—
677C22×Dic3—22no—
678C22×Dic3—22no—
679C22×Dic3—41no—
680C22×Dic3—41no—
681C22×Dic3—41no—
682C22×Dic3—41no—
683C22×Dic3—41no—
684C22×Dic3—416no—
685C22×Dic3—41no—
686C22×Dic3—41no—
687C22×Dic3—41no—
688C22×Dic3—41no—
689C22×Dic3—41no—
690C22×Dic3C2×D414yes—
691C22×Dic3#4114yescomplemented
692C22×Dic3C2411yescharacteristic
693C22×Dic3C2411yescharacteristic
694C22×Dic3C2411yescharacteristic
695C22×Dic3C2411yescharacteristic
696C22×Dic3C2411yescharacteristic
697C22×Dic3C2411yescharacteristic
698C22×Dic3C2411yescharacteristic
699C22×Dic3C2411yescharacteristic
700C22×Dic3C2411yescharacteristic
701C22×Dic3C2411yescharacteristic
702C22×Dic3C2411yescharacteristic
703C22×Dic3C2411yescharacteristic
704C22×Dic3C2411yescharacteristic
705C22×Dic3C2411yescharacteristic
706C22×Dic3C2411yescharacteristic
707#237—416no—
708#237—416no—
709C2×C4×D3—22no—
710C2×C4×D3—22no—
711C2×C4×D3—22no—
712C2×C4×D3—22no—
713C2×C4×D3—41no—
714C2×C4×D3—41no—
715C2×C4×D3—41no—
716C2×C4×D3—41no—
717C2×C4×D3—41no—
718C2×Dic6—22no—
719C2×Dic6—22no—
720C2×Dic6—22no—
721C2×Dic6—22no—
722C2×Dic6—22no—
723C2×Dic6—41no—
724C3×C22⋊C4—22no—
725C3×C22⋊C4—22no—
726C3×C22⋊C4—22no—
727C3×C22⋊C4—22no—
728C3×C22⋊C4—22no—
729C3×C22⋊C4—22no—
730C3×C22⋊C4—41no—
731C3×C22⋊C4—41no—
732C3×C22⋊C4—41no—
733C3×C22⋊C4—41no—
734C3×C22⋊C4—41no—
735C3×C22⋊C4—41no—
736C3×C22⋊C4—41no—
737C3×C22⋊C4—41no—
738#217—22no—
739#217—22no—
740#217—22no—
741#217—22no—
742#217—22no—
743#217—22no—
744#217—22no—
745#217—22no—
746#217—22no—
747#217—22no—
748#217—22no—
749#217—22no—
750#217—41no—
751#217—41no—
752#217—41no—
753#217—41no—
754#217—41no—
755#217—41no—
756#217—41no—
757#217—41no—
758#217—41no—
759#217—41no—
760#217C2×D414yes—
761(C2×D3)⋊C4—22no—
762(C2×D3)⋊C4—22no—
763(C2×D3)⋊C4—22no—
764(C2×D3)⋊C4—41no—
765(C2×D3)⋊C4—41no—
766(C2×D3)⋊C4—41no—
767(C2×D3)⋊C4C2×D414yes—
768C4⋊Dic3—22no—
769C4⋊Dic3—22no—
770C4⋊Dic3—22no—
771C4⋊Dic3—22no—
772C4⋊Dic3—41no—
773C4⋊Dic3—41no—
774C4⋊Dic3—41no—
775C4⋊Dic3—41no—
776Dic3⋊C4—22no—
777Dic3⋊C4—22no—
778Dic3⋊C4—22no—
779Dic3⋊C4—22no—
780Dic3⋊C4—22no—
781Dic3⋊C4—22no—
782Dic3⋊C4—22no—
783Dic3⋊C4—22no—
784Dic3⋊C4—22no—
785Dic3⋊C4—22no—
786Dic3⋊C4—22no—
787Dic3⋊C4—22no—
788Dic3⋊C4—22no—
789Dic3⋊C4—41no—
790Dic3⋊C4—41no—
791Dic3⋊C4—41no—
792Dic3⋊C4—41no—
793Dic3⋊C4—41no—
794Dic3⋊C4C2×D414yes—
795C4×Dic3—22no—
796C4×Dic3—22no—
797C4×Dic3—22no—
798C4×Dic3—22no—
799C4×Dic3—22no—
800C4×Dic3—41no—
801C4×Dic3—41no—
802C25C22×D311yescharacteristic
803C2×#41—24no—
804C2×#41—24no—
805C2×#41—42no—
806C2×#41—64no—
807C2×#41—64no—
808C2×#41—64no—
809C2×#41—64no—
810C2×#41—122no—
811C2×#41—122no—
812C22×Q8—31no—
813C22×Q8—31no—
814C22×Q8C22×D311yescharacteristic
815C22×D4—31no—
816C22×D4—31no—
817C22×D4—31no—
818C22×D4—31no—
819C22×D4—31no—
820C22×D4C22×D311yescharacteristic
821C22×D4C22×D311yescharacteristic
822C22×D4C22×D311yescharacteristic
823C22×D4C22×D311yescharacteristic
824C22×D4C22×D311yescharacteristic
825C22×D4C22×D311yescharacteristic
826C22×D4C22×D311yescharacteristic
827C23×C4—31no—
828C23×C4—31no—
829C23×C4—31no—
830C23×C4—31no—
831C23×C4—31no—
832C23×C4—31no—
833C23×C4—31no—
834C23×C4—31no—
835C23×C4—31no—
836C23×C4—31no—
837C23×C4—31no—
838C23×C4—31no—
839C23×C4—31no—
840C23×C4—31no—
841C23×C4—31no—
842C23×C4—64no—
843C23×C4—64no—
844C23×C4—122no—
845C23×C4C22×D311yescharacteristic
846C23×C4C22×D311yescharacteristic
847C23×C4C22×D311yescharacteristic
848C23×C4C22×D311yescharacteristic
849C4⋊Q8—64no—
850#123—64no—
851#123—64no—
852#123—64no—
853#123—64no—
854#123—64no—
855#123—64no—
856C22⋊Q8—64no—
857C22⋊Q8—64no—
858C22⋊Q8—64no—
859C22⋊Q8—64no—
860C22⋊Q8—122no—
861#121—38no—
862#121—64no—
863#121—64no—
864#120—24no—
865#120—24no—
866#120—64no—
867C4×D4—64no—
868C4×D4—64no—
869C4×D4—64no—
870C4×D4—64no—
871C4×D4—64no—
872C4×D4—64no—
873C4×D4—64no—
874C4×D4—122no—
875C4×D4—122no—
876C4×D4—122no—
877C4×D4—122no—
878#117—64no—
879C2×C4⋊C4—31no—
880C2×C4⋊C4—31no—
881C2×C4⋊C4—31no—
882C2×C4⋊C4—31no—
883C2×C4⋊C4—31no—
884C2×C4⋊C4—31no—
885C2×C4⋊C4—31no—
886C2×C4⋊C4—31no—
887C2×C4⋊C4—31no—
888C2×C4⋊C4—31no—
889C2×C4⋊C4—31no—
890C2×C4⋊C4—31no—
891C2×C4⋊C4—31no—
892C2×C4⋊C4—31no—
893C2×C4⋊C4—31no—
894C2×C4⋊C4—31no—
895C2×C4⋊C4—31no—
896C2×C4⋊C4—31no—
897C2×C4⋊C4—31no—
898C2×C4⋊C4—31no—
899C2×C4⋊C4—31no—
900C2×C4⋊C4—31no—
901C2×C4⋊C4—31no—
902C2×C4⋊C4—31no—
903C2×C4⋊C4—31no—
904C2×C4⋊C4—31no—
905C2×C4⋊C4—31no—
906C2×C4⋊C4—64no—
907C2×C4⋊C4—64no—
908C2×C4⋊C4—122no—
909C2×C22⋊C4—31no—
910C2×C22⋊C4—31no—
911C2×C22⋊C4—31no—
912C2×C22⋊C4—31no—
913C2×C22⋊C4—31no—
914C2×C22⋊C4—31no—
915C2×C22⋊C4—31no—
916C2×C22⋊C4—31no—
917C2×C22⋊C4—31no—
918C2×C22⋊C4—31no—
919C2×C22⋊C4—31no—
920C2×C22⋊C4—31no—
921C2×C22⋊C4—31no—
922C2×C22⋊C4—31no—
923C2×C22⋊C4—31no—
924C2×C22⋊C4—31no—
925C2×C22⋊C4—31no—
926C2×C22⋊C4—31no—
927C2×C22⋊C4—31no—
928C2×C22⋊C4—31no—
929C2×C22⋊C4—31no—
930C2×C22⋊C4—31no—
931C2×C22⋊C4—31no—
932C2×C22⋊C4—31no—
933C2×C22⋊C4—31no—
934C2×C22⋊C4—31no—
935C2×C22⋊C4—31no—
936C2×C22⋊C4—31no—
937C2×C22⋊C4—31no—
938C2×C22⋊C4—31no—
939C2×C22⋊C4—42no—
940C2×C22⋊C4—122no—
941C2×C22⋊C4C22×D311yescharacteristic
942C2×C22⋊C4C22×D311yescharacteristic
943C2×C22⋊C4C22×D311yescharacteristic
944C2×C22⋊C4C22×D311yescharacteristic
945C2×C22⋊C4C22×D311yescharacteristic
946C2×C22⋊C4C22×D311yescharacteristic
947C2×C22⋊C4C22×D311yescharacteristic
948C2×C22⋊C4C22×D311yescharacteristic
949C2×C22⋊C4C22×D311yescharacteristic
950C2×C22⋊C4C22×D311yescharacteristic
951C2×C22⋊C4C22×D311yescharacteristic
952C2×C22⋊C4C22×D311yescharacteristic
953C2×C22⋊C4C22×D311yescharacteristic
954C2×C22⋊C4C22×D311yescharacteristic
955C2×C42—31no—
956C2×C42—31no—
957C2×C42—31no—
958C2×C42—31no—
959C2×C42—31no—
960C2×C42—31no—
961C2×C42—31no—
962#95—31no—
963#95—31no—
964#95—31no—
965#95—31no—
966#95—31no—
967#95—31no—
968#95—31no—
969#95—31no—
970#95—31no—
971#95—31no—
972#95—31no—
973#95—31no—
974#95—31no—
975#95—31no—
976#95—31no—
977#95—31no—
978#95—31no—
979#95—31no—
980#95—31no—
981#95—31no—
982#95—31no—
983#95—31no—
984#95—31no—
985#95—31no—
986#95—31no—
987#95—31no—
988#95—31no—
989#95—31no—
990#95—31no—
991#95—31no—
992#95—31no—
993#95—31no—
994#95—31no—
995#95—31no—
996#95C22×D311yescharacteristic
997#95C22×D311yescharacteristic
998#95C22×D311yescharacteristic
999#95C22×D311yescharacteristic
1000#95C22×D311yescharacteristic
1001#95C22×D311yescharacteristic
1002#95C22×D311yescharacteristic
1003#95C22×D311yescharacteristic
1004C23×C3—21no—
1005C23×C3—21no—
1006C23×C3—21no—
1007C23×C3—21no—
1008C23×C3—28no—
1009C23×C3—21no—
1010C23×C3—21no—
1011C23×C3—21no—
1012C23×C3—21no—
1013C23×C3—21no—
1014C23×C3—21no—
1015C23×C3—21no—
1016C23×C3—21no—
1017C23×C3—21no—
1018C23×C3—21no—
1019C23×C3—21no—
1020C23×C3—21no—
1021C23×C3—21no—
1022C23×C3—21no—
1023C23×C3—21no—
1024C23×C3—21no—
1025C23×C3—21no—
1026C23×C3—21no—
1027C23×C3—21no—
1028C23×C3—21no—
1029C23×C3—21no—
1030C23×C3—21no—
1031C23×C3—21no—
1032C23×C3—21no—
1033C23×C3—44no—
1034C23×C3—44no—
1035C23×C3—44no—
1036C23×C3—44no—
1037C23×C3—44no—
1038C23×C3—44no—
1039C23×C3C22×D412yes—
1040C23×C3C22×D412yes—
1041C23×C3C2×#4112yes—
1042C23×C3C2×#4112yes—
1043C23×C3C2×#4112yes—
1044C23×C3H(5,𝔽2)12yes—
1045C23×C32−1+412yes—
1046C23×C3C2511yescharacteristic
1047C22×D3—21no—
1048C22×D3—21no—
1049C22×D3—21no—
1050C22×D3—21no—
1051C22×D3—21no—
1052C22×D3—21no—
1053C22×D3C22×D412yes—
1054C3×Q8—44no—
1055C3×D4—28no—
1056C3×D4—28no—
1057C3×D4—44no—
1058C3×D4—44no—
1059C3×D4—44no—
1060C3×D4—44no—
1061C3×D4—44no—
1062C2×C3×C4—21no—
1063C2×C3×C4—21no—
1064C2×C3×C4—21no—
1065C2×C3×C4—21no—
1066C2×C3×C4—21no—
1067C2×C3×C4—21no—
1068C2×C3×C4—21no—
1069C2×C3×C4—21no—
1070C2×C3×C4—21no—
1071C2×C3×C4—21no—
1072C2×C3×C4—21no—
1073C2×C3×C4—21no—
1074C2×C3×C4—21no—
1075C2×C3×C4—21no—
1076C2×C3×C4—21no—
1077C2×C3×C4—21no—
1078C2×C3×C4—21no—
1079C2×C3×C4—21no—
1080C2×C3×C4—21no—
1081C2×C3×C4—21no—
1082C2×C3×C4—21no—
1083C2×C3×C4—21no—
1084C2×C3×C4—21no—
1085C2×C3×C4—21no—
1086C2×C3×C4—21no—
1087C2×C3×C4—21no—
1088C2×C3×C4—21no—
1089C2×C3×C4—21no—
1090C2×C3×C4—44no—
1091C2×C3×C4—44no—
1092C2×C3×C4—44no—
1093C2×C3×C4—82no—
1094C2×C3×C4C22×D412yes—
1095C2×C3×C4C2×#4112yes—
1096#67—28no—
1097#67—28no—
1098#67—44no—
1099#67—44no—
1100#67—44no—
1101C2×Dic3—21no—
1102C2×Dic3—21no—
1103C2×Dic3—21no—
1104C2×Dic3—21no—
1105C2×Dic3—21no—
1106C2×Dic3—21no—
1107C2×Dic3—28no—
1108C2×Dic3—28no—
1109C2×Dic3—21no—
1110C2×Dic3—21no—
1111C2×Dic3—21no—
1112C2×Dic3—21no—
1113C2×Dic3—21no—
1114C2×Dic3—21no—
1115C2×Dic3—21no—
1116C2×Dic3—21no—
1117C2×Dic3—21no—
1118C2×Dic3—21no—
1119C2×Dic3—21no—
1120C2×Dic3—21no—
1121C2×Dic3—21no—
1122C2×Dic3—21no—
1123C2×Dic3—21no—
1124C2×Dic3—21no—
1125C2×Dic3—21no—
1126C2×Dic3—21no—
1127C2×Dic3—21no—
1128C2×Dic3—21no—
1129C2×Dic3—21no—
1130C2×Dic3—21no—
1131C2×Dic3—21no—
1132C2×Dic3—21no—
1133C2×Dic3—21no—
1134C2×Dic3—21no—
1135C2×Dic3—21no—
1136C2×Dic3—21no—
1137C2×Dic3—21no—
1138C2×Dic3—21no—
1139C2×Dic3—21no—
1140C2×Dic3—21no—
1141C2×Dic3—21no—
1142C2×Dic3—44no—
1143C2×Dic3—44no—
1144C2×Dic3—44no—
1145C2×Dic3—44no—
1146C2×Dic3—44no—
1147C2×Dic3—44no—
1148C2×Dic3—44no—
1149C2×Dic3—44no—
1150C2×Dic3—82no—
1151C2×Dic3—82no—
1152C2×Dic3C22×D412yes—
1153C2×Dic3C22×D412yes—
1154C2×Dic3C22×D412yes—
1155C2×Dic3C2×#4112yes—
1156C2×Dic3C2×#4112yes—
1157C2×Dic3H(5,𝔽2)12yes—
1158C4×D3—44no—
1159C4×D3—44no—
1160C4×D3—82no—
1161Dic6—44no—
1162Dic6—44no—
1163C24—22no—
1164C24—22no—
1165C24—22no—
1166C24—22no—
1167C24—22no—
1168C24—31no—
1169C24—41no—
1170C24—41no—
1171C24C23×D311yescharacteristic
1172C24C23×D311yescharacteristic
1173C24C23×D311yescharacteristic
1174C24C23×D311yescharacteristic
1175C24C23×D311yescharacteristic
1176#41—416no—
1177#41—1216no—
1178#41—1216no—
1179C2×Q8—22no—
1180C2×Q8—22no—
1181C2×Q8—41no—
1182C2×Q8—62no—
1183C2×Q8—62no—
1184C2×Q8—62no—
1185C2×Q8—62no—
1186C2×Q8—62no—
1187C2×Q8—121no—
1188C2×D4—22no—
1189C2×D4—22no—
1190C2×D4—22no—
1191C2×D4—22no—
1192C2×D4—22no—
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—22no—
1197C2×D4—22no—
1198C2×D4—22no—
1199C2×D4—22no—
1200C2×D4—22no—
1201C2×D4—22no—
1202C2×D4—34no—
1203C2×D4—34no—
1204C2×D4—41no—
1205C2×D4—41no—
1206C2×D4—41no—
1207C2×D4—41no—
1208C2×D4—41no—
1209C2×D4—62no—
1210C2×D4—62no—
1211C2×D4—62no—
1212C2×D4—62no—
1213C2×D4—62no—
1214C2×D4—62no—
1215C2×D4—62no—
1216C2×D4—62no—
1217C2×D4—62no—
1218C2×D4—62no—
1219C2×D4—121no—
1220C2×D4—121no—
1221C2×D4—121no—
1222C2×D4D3×D414yes—
1223C2×D4#23714yescomplemented
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—31no—
1233C22×C4—34no—
1234C22×C4—34no—
1235C22×C4—31no—
1236C22×C4—31no—
1237C22×C4—31no—
1238C22×C4—31no—
1239C22×C4—31no—
1240C22×C4—31no—
1241C22×C4—31no—
1242C22×C4—31no—
1243C22×C4—31no—
1244C22×C4—31no—
1245C22×C4—31no—
1246C22×C4—31no—
1247C22×C4—31no—
1248C22×C4—31no—
1249C22×C4—41no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—62no—
1254C22×C4—62no—
1255C22×C4—62no—
1256C22×C4—62no—
1257C22×C4—62no—
1258C22×C4—62no—
1259C22×C4—62no—
1260C22×C4—62no—
1261C22×C4—62no—
1262C22×C4—62no—
1263C22×C4—62no—
1264C22×C4—62no—
1265C22×C4—62no—
1266C22×C4—62no—
1267C22×C4—62no—
1268C22×C4—62no—
1269C22×C4—62no—
1270C22×C4—62no—
1271C22×C4—62no—
1272C22×C4—62no—
1273C22×C4—62no—
1274C22×C4—62no—
1275C22×C4—62no—
1276C22×C4—62no—
1277C22×C4—62no—
1278C22×C4—62no—
1279C22×C4—62no—
1280C22×C4—62no—
1281C22×C4—121no—
1282C22×C4—121no—
1283C22×C4—121no—
1284C22×C4—121no—
1285C22×C4—121no—
1286C22×C4—121no—
1287C22×C4—121no—
1288C22×C4—121no—
1289C22×C4—121no—
1290C22×C4—121no—
1291C22×C4—1216no—
1292C22×C4—121no—
1293C22×C4—121no—
1294C22×C4—121no—
1295C22×C4—121no—
1296C22×C4—121no—
1297C22×C4C23×D311yescharacteristic
1298C22×C4C23×D311yescharacteristic
1299C22×C4C23×D311yescharacteristic
1300C22×C4C23×D311yescharacteristic
1301C22×C4C23×D311yescharacteristic
1302C22×C4C23×D311yescharacteristic
1303C22×C4C23×D311yescharacteristic
1304C22×C4C23×D311yescharacteristic
1305C22×C4C23×D311yescharacteristic
1306C22×C4C23×D311yescharacteristic
1307C4⋊C4—34no—
1308C4⋊C4—62no—
1309C4⋊C4—62no—
1310C4⋊C4—62no—
1311C4⋊C4—62no—
1312C4⋊C4—62no—
1313C4⋊C4—62no—
1314C4⋊C4—62no—
1315C4⋊C4—62no—
1316C4⋊C4—62no—
1317C4⋊C4—62no—
1318C4⋊C4—62no—
1319C4⋊C4—62no—
1320C4⋊C4—62no—
1321C4⋊C4—62no—
1322C4⋊C4—62no—
1323C4⋊C4—62no—
1324C4⋊C4—62no—
1325C4⋊C4—121no—
1326C4⋊C4—121no—
1327C4⋊C4—121no—
1328C4⋊C4—121no—
1329C4⋊C4—121no—
1330C4⋊C4—121no—
1331C4⋊C4—121no—
1332C4⋊C4—121no—
1333C4⋊C4—121no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—34no—
1341C22⋊C4—34no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
1347C22⋊C4—41no—
1348C22⋊C4—41no—
1349C22⋊C4—41no—
1350C22⋊C4—62no—
1351C22⋊C4—62no—
1352C22⋊C4—62no—
1353C22⋊C4—62no—
1354C22⋊C4—62no—
1355C22⋊C4—62no—
1356C22⋊C4—62no—
1357C22⋊C4—62no—
1358C22⋊C4—62no—
1359C22⋊C4—62no—
1360C22⋊C4—62no—
1361C22⋊C4—62no—
1362C22⋊C4—62no—
1363C22⋊C4—62no—
1364C22⋊C4—62no—
1365C22⋊C4—121no—
1366C22⋊C4—121no—
1367C22⋊C4—121no—
1368C22⋊C4—121no—
1369C22⋊C4—121no—
1370C22⋊C4—121no—
1371C22⋊C4—121no—
1372C22⋊C4—121no—
1373C22⋊C4—121no—
1374C22⋊C4—121no—
1375C22⋊C4—121no—
1376C22⋊C4—121no—
1377C22⋊C4—121no—
1378C42—62no—
1379C42—62no—
1380C42—62no—
1381C42—62no—
1382C42—62no—
1383C42—121no—
1384C42—121no—
1385C22×C3—22no—
1386C22×C3—22no—
1387C22×C3—22no—
1388C22×C3—22no—
1389C22×C3—22no—
1390C22×C3—22no—
1391C22×C3—22no—
1392C22×C3—22no—
1393C22×C3—22no—
1394C22×C3—22no—
1395C22×C3—22no—
1396C22×C3—22no—
1397C22×C3—22no—
1398C22×C3—22no—
1399C22×C3—22no—
1400C22×C3—22no—
1401C22×C3—22no—
1402C22×C3—22no—
1403C22×C3—416no—
1404C22×C3—41no—
1405C22×C3—41no—
1406C22×C3—41no—
1407C22×C3—41no—
1408C22×C3—41no—
1409C22×C3—41no—
1410C22×C3—41no—
1411C22×C3—41no—
1412C22×C3—41no—
1413C22×C3—41no—
1414C22×C3—41no—
1415C22×C3—41no—
1416C22×C3—41no—
1417C22×C3—41no—
1418C22×C3—41no—
1419C22×C3—41no—
1420C22×C3#54614yes—
1421C22×C3C23×D411yescharacteristic
1422C22×C3C22×#4111yescharacteristic
1423C22×C3C22×#4111yescharacteristic
1424C22×C3C2×H(5,𝔽2)11yescharacteristic
1425C22×C3C2×H(5,𝔽2)11yescharacteristic
1426C22×C3C2×2−1+411yescharacteristic
1427C22×C3#58511yescharacteristic
1428C2×D3—22no—
1429C2×D3—22no—
1430C2×D3—22no—
1431C2×D3—41no—
1432C2×D3—41no—
1433C2×D3—41no—
1434C2×D3—41no—
1435C3×C4—22no—
1436C3×C4—22no—
1437C3×C4—41no—
1438C3×C4—41no—
1439C3×C4—41no—
1440C3×C4—41no—
1441C3×C4—41no—
1442C3×C4—41no—
1443C3×C4—41no—
1444C3×C4—41no—
1445Dic3—22no—
1446Dic3—22no—
1447Dic3—22no—
1448Dic3—41no—
1449Dic3—41no—
1450Dic3—41no—
1451Dic3—41no—
1452Dic3—41no—
1453Dic3—41no—
1454Dic3—41no—
1455Dic3—41no—
1456Dic3—41no—
1457Dic3—41no—
1458Dic3—41no—
1459Dic3#54614yes—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—28no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—32no—
1490C23—44no—
1491C23—44no—
1492C23—44no—
1493C23—44no—
1494C23—44no—
1495C23—44no—
1496C23—61no—
1497C23—61no—
1498C23—61no—
1499C23—61no—
1500C23—61no—
1501C23—61no—
1502C23C2×D3×D412yes—
1503C23C2×D3×D412yes—
1504C23C2×#23712yes—
1505C23C2×#23712yes—
1506C23#100412yes—
1507C23D3×#4112yes—
1508C23#101012yes—
1509C23C24×D311yescharacteristic
1510Q8—44no—
1511Q8—124no—
1512Q8—124no—
1513D4—28no—
1514D4—28no—
1515D4—44no—
1516D4—44no—
1517D4—44no—
1518D4—44no—
1519D4—44no—
1520D4—68no—
1521D4—68no—
1522D4—124no—
1523D4—124no—
1524D4—124no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—32no—
1554C2×C4—32no—
1555C2×C4—32no—
1556C2×C4—32no—
1557C2×C4—32no—
1558C2×C4—32no—
1559C2×C4—44no—
1560C2×C4—44no—
1561C2×C4—44no—
1562C2×C4—68no—
1563C2×C4—68no—
1564C2×C4—61no—
1565C2×C4—61no—
1566C2×C4—61no—
1567C2×C4—61no—
1568C2×C4—61no—
1569C2×C4—61no—
1570C2×C4—61no—
1571C2×C4—61no—
1572C2×C4—61no—
1573C2×C4—61no—
1574C2×C4—61no—
1575C2×C4—61no—
1576C2×C4—61no—
1577C2×C4—61no—
1578C2×C4—61no—
1579C2×C4—61no—
1580C2×C4—61no—
1581C2×C4—61no—
1582C2×C4—61no—
1583C2×C4—61no—
1584C2×C4—61no—
1585C2×C4—61no—
1586C2×C4—61no—
1587C2×C4—61no—
1588C2×C4—61no—
1589C2×C4—61no—
1590C2×C4—61no—
1591C2×C4—61no—
1592C2×C4—61no—
1593C2×C4—61no—
1594C2×C4—61no—
1595C2×C4—61no—
1596C2×C4—61no—
1597C2×C4—61no—
1598C2×C4—61no—
1599C2×C4—61no—
1600C2×C4—61no—
1601C2×C4—61no—
1602C2×C4—61no—
1603C2×C4—82no—
1604C2×C4—124no—
1605C2×C4—124no—
1606C2×C4—124no—
1607C2×C4—124no—
1608C2×C4—124no—
1609C2×C4—124no—
1610C2×C4—124no—
1611C2×C4—124no—
1612C2×C4—124no—
1613C2×C4—124no—
1614C2×C4—242no—
1615C2×C4—242no—
1616C2×C4—242no—
1617C2×C4C2×D3×D412yes—
1618C2×C4C2×#23712yes—
1619C2×C3—24no—
1620C2×C3—42no—
1621C2×C3—42no—
1622C2×C3—42no—
1623C2×C3—42no—
1624C2×C3C2×#54611yescharacteristic
1625C2×C3C2×#54611yescharacteristic
1626C2×C3#347511yescharacteristic
1627C2×C3#348911yescharacteristic
1628C2×C3#349211yescharacteristic
1629C2×C3#352011yescharacteristic
1630C2×C3#354211yescharacteristic
1631D3—42no—
1632C22—22no—
1633C22—22no—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—22no—
1642C22—22no—
1643C22—22no—
1644C22—22no—
1645C22—22no—
1646C22—22no—
1647C22—22no—
1648C22—22no—
1649C22—22no—
1650C22—416no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—62no—
1668C22—62no—
1669C22—62no—
1670C22—121no—
1671C22—121no—
1672C22—121no—
1673C22—121no—
1674C22#559114yes—
1675C22C22×D3×D411yescharacteristic
1676C22C22×#23711yescharacteristic
1677C22C2×#100411yescharacteristic
1678C22C2×D3×#4111yescharacteristic
1679C22C2×#101011yescharacteristic
1680C22D3×H(5,𝔽2)11yescharacteristic
1681C22#596611yescharacteristic
1682C4—22no—
1683C4—22no—
1684C4—34no—
1685C4—41no—
1686C4—41no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—62no—
1694C4—62no—
1695C4—62no—
1696C4—121no—
1697C4—121no—
1698C4—121no—
1699C4—121no—
1700C4—121no—
1701C4—121no—
1702C4—121no—
1703C4—121no—
1704C4—121no—
1705C4—121no—
1706C4—121no—
1707C3#5902311yescharacteristic, complemented, Sylow
1708C2—24no—
1709C2—42no—
1710C2—42no—
1711C2—42no—
1712C2—42no—
1713C2—122no—
1714C2C2×#559111yescharacteristic
1715C2#8602511yescharacteristic
1716C2#8632311yescharacteristic
1717C2#8662711yescharacteristic
1718C2#8663011yescharacteristic
1719C2#8664111yescharacteristic
1720C2D3×#54611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2404C2
hypercenter#2404D3
hypocenterC3#59023
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2404

Complements

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

NH ≅ G/Ntype
1. C2×#5824C2semidirect
2. C2×#5586C2semidirect
3. C3×#2404C2semidirect
4. #84088C2semidirect
5. #82590C2semidirect
6. #82581C2semidirect
7. Dic3×#120C2semidirect
8. #82129C2semidirect
9. C2×#4942C2semidirect
10. #76878C2semidirect
11. #76866C2semidirect
12. #76793C2semidirect
13. #76782C2semidirect
14. #76718C2semidirect
15. #76686C2semidirect
16. #76678C2semidirect
17. #76668C2semidirect
18. #74804C2semidirect
19. #74797C2semidirect
20. #74713C2semidirect
21. #74711C2semidirect
22. #74695C2semidirect
23. #74694C2semidirect
24. #74693C2semidirect
25. #74693C2semidirect
26. #74676C2semidirect
27. #74673C2semidirect
28. #74672C2semidirect
29. #74672C2semidirect
30. #74079C2semidirect
31. #74065C2semidirect
43. C2×#946C22semidirect
44. C2×#944C22semidirect
47. C2×#939C22semidirect
50. C2×#935C22semidirect
58. C2×#929C22semidirect
60. C2×C4×#67C22semidirect
61. C2×#924C22semidirect
64. C22×Dic3⋊C4C22semidirect
69. C2×#67⋊C4C22semidirect
72. C2×#878C22semidirect
86. #5229C22semidirect
87. #5229C22semidirect
100. #5220C22semidirect
101. #5220C22semidirect
103. #5212C22semidirect
105. #5211C22semidirect
106. C4×#217C22semidirect
109. C2×C3⋊#95C22semidirect
113. #4957C22semidirect
118. #4956C22semidirect
119. #4956C22semidirect
120. #4953C22semidirect
121. #4953C22semidirect
125. #4950C22semidirect
130. #4948C22semidirect
131. #4948C22semidirect
134. #4946C22semidirect
137. #4945C22semidirect
142. #4943C22semidirect
152. #4942C22semidirect
153. #4942C22semidirect
157. Dic3×C22⋊C4C22semidirect
158. #4675C22semidirect
159. #4674C22semidirect
160. #4669C22semidirect
161. #4668C22semidirect
162. #4668C22semidirect
163. #4664C22semidirect
164. #4664C22semidirect
165. D3×#95C22semidirect
166. #4661C22semidirect
167. #4661C22semidirect
168. #4660C22semidirect
169. #4660C22semidirect
170. #4659C22semidirect
171. #4658C22semidirect
172. #4658C22semidirect
173. #4658C22semidirect
174. #4657C22semidirect
175. #4657C22semidirect
176. #4654C22semidirect
177. #4653C22semidirect
178. #4653C22semidirect
179. #4652C22semidirect
180. #4650C22semidirect
181. #4650C22semidirect
182. #4649C22semidirect
183. #4647C22semidirect
184. #4647C22semidirect
185. #4646C22semidirect
186. #4646C22semidirect
187. #4646C22semidirect
188. #4646C22semidirect
189. #4646C22semidirect
213. #2404D3semidirect
314. #939D4semidirect
617. C2×C3×D4#41semidirect
691. C22×Dic3#41semidirect
1223. C2×D4#237semidirect
1707. C3#59023semidirect

Maximal subgroups

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

subgroupindex
C2×#58242
C2×#55862
C3×#24042
#840882
#825902
#825812
Dic3×#1202
#821292
C2×#49422
#768782
#768662
#767932
#767822
#767182
#766862
#766782
#766682
#748042
#747972
#747132
#747112
#746952
#746942
#746932
#746762
#746732
#746722
#740792
#740652
#590233