Finite Group Databasebeta

← #11633550

Subgroups — #11633550

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×#5656C211yesmaximal, characteristic, complemented
2C2×#5631C211yesmaximal, characteristic, complemented
3C3×#2687C211yesmaximal, characteristic, complemented
4#82875C211yesmaximal, characteristic, complemented
5#82765C211yesmaximal, characteristic, complemented
6#78152C211yesmaximal, characteristic, complemented
7#78138C211yesmaximal, characteristic, complemented
8#77953C211yesmaximal, characteristic, complemented
9#77947C211yesmaximal, characteristic, complemented
10#77742C211yesmaximal, characteristic, complemented
11#77742C211yesmaximal, characteristic, complemented
12#77671C211yesmaximal, characteristic, complemented
13#77513C211yesmaximal, characteristic, complemented
14#77119C211yesmaximal, characteristic, complemented
15#76894C211yesmaximal, characteristic, complemented
16#76863C211yesmaximal, characteristic, complemented
17#76782C211yesmaximal, characteristic, complemented
18#76613C211yesmaximal, characteristic, complemented
19#76517C211yesmaximal, characteristic, complemented
20#75881C211yesmaximal, characteristic, complemented
21#75851C211yesmaximal, characteristic, complemented
22#75834C211yesmaximal, characteristic, complemented
23#75477C211yesmaximal, characteristic, complemented
24#74886C211yesmaximal, characteristic, complemented
25#74672C211yesmaximal, characteristic, complemented
26#74633C211yesmaximal, characteristic, complemented
27#74379C211yesmaximal, characteristic, complemented
28#74121C211yesmaximal, characteristic, complemented
29#74066C211yesmaximal, characteristic, complemented
30#74040C211yesmaximal, characteristic, complemented
31D3×#380C211yesmaximal, characteristic, complemented
32#59023—31nomaximal, Sylow
33C22×#239C2211yescharacteristic
34C22×#237C2211yescharacteristic
35C22×#235C2211yescharacteristic
36C23×C4×D3C2211yescharacteristic
37C2×C3×#123C2211yescharacteristic
38C2×C3×C22⋊Q8C2211yescharacteristic, complemented
39C2×#944C2211yescharacteristic, complemented
40C2×#937C2211yescharacteristic
41C2×#929C2211yescharacteristic
42C2×C4×#67C2211yescharacteristic, complemented
43#5656—28no—
44#5631—28no—
45C2×#897C2211yescharacteristic, complemented
46C2×#896C2211yescharacteristic
47C2×#896C2211yescharacteristic
48C2×#896C2211yescharacteristic, complemented
49C2×#894C2211yescharacteristic
50C2×#894C2211yescharacteristic, complemented
51C2×#893C2211yescharacteristic
52C2×#893C2211yescharacteristic
53C2×#893C2211yescharacteristic
54C2×#893C2211yescharacteristic
55C2×D3×C4⋊C4C2211yescharacteristic
56C2×D3×C4⋊C4C2211yescharacteristic
57C2×D3×C4⋊C4C2211yescharacteristic, complemented
58C2×#884C2211yescharacteristic
59C2×#884C2211yescharacteristic
60C2×#884C2211yescharacteristic, complemented
61C2×#883C2211yescharacteristic
62C2×#883C2211yescharacteristic, complemented
63C2×#882C2211yescharacteristic
64C2×#882C2211yescharacteristic
65C2×#67⋊C4C2211yescharacteristic
66C2×#67⋊C4C2211yescharacteristic
67C2×#67⋊C4C2211yescharacteristic
68C2×#67⋊C4C2211yescharacteristic
69C2×#67⋊C4C2211yescharacteristic, complemented
70C2×D3×C22⋊C4C2211yescharacteristic
71C2×D3×C22⋊C4C2211yescharacteristic
72C2×#877C2211yescharacteristic
73C2×C4×D12C2211yescharacteristic
74C3×#400C2211yescharacteristic, complemented
75C3×#398C2211yescharacteristic, complemented
76C3×#398C2211yescharacteristic, complemented
77C3×#397C2211yescharacteristic, complemented
78C3×#394C2211yescharacteristic
79C3×#393C2211yescharacteristic
80C3×#391C2211yescharacteristic, complemented
81C3×#388C2211yescharacteristic
82C3×#388C2211yescharacteristic, complemented
83C3×#386C2211yescharacteristic
84C3×#385C2211yescharacteristic
85C3×#381C2211yescharacteristic, complemented
86C3×#380C2211yescharacteristic
87#5231C2211yescharacteristic
88#5229C2211yescharacteristic, complemented
89#5223C2211yescharacteristic
90#5220C2211yescharacteristic
91#5213C2211yescharacteristic
92#5213C2211yescharacteristic
93#5212C2211yescharacteristic
94C2×C3⋊#95C2211yescharacteristic, complemented
95#4994C2211yescharacteristic
96#4994C2211yescharacteristic
97#4994C2211yescharacteristic, complemented
98#4994C2211yescharacteristic, complemented
99#4992C2211yescharacteristic, complemented
100#4989C2211yescharacteristic
101#4989C2211yescharacteristic
102#4989C2211yescharacteristic, complemented
103#4989C2211yescharacteristic, complemented
104#4987C2211yescharacteristic
105#4987C2211yescharacteristic
106#4987C2211yescharacteristic
107#4987C2211yescharacteristic, complemented
108#4986C2211yescharacteristic, complemented
109#4985C2211yescharacteristic, complemented
110#4985C2211yescharacteristic, complemented
111#4982C2211yescharacteristic, complemented
112#4982C2211yescharacteristic, complemented
113#4978C2211yescharacteristic, complemented
114#4961C2211yescharacteristic
115#4960C2211yescharacteristic
116#4960C2211yescharacteristic
117#4959C2211yescharacteristic
118#4958C2211yescharacteristic
119#4958C2211yescharacteristic, complemented
120#4958C2211yescharacteristic, complemented
121#4957C2211yescharacteristic, complemented
122#4956C2211yescharacteristic
123#4956C2211yescharacteristic
124#4956C2211yescharacteristic
125#4956C2211yescharacteristic
126#4956C2211yescharacteristic
127#4955C2211yescharacteristic
128#4952C2211yescharacteristic, complemented
129#4951C2211yescharacteristic
130#4950C2211yescharacteristic, complemented
131#4948C2211yescharacteristic
132#4948C2211yescharacteristic
133#4947C2211yescharacteristic
134#4946C2211yescharacteristic, complemented
135#4943C2211yescharacteristic, complemented
136#4942C2211yescharacteristic
137#4942C2211yescharacteristic
138Dic3×C22⋊C4C2211yescharacteristic
139#4940C2211yescharacteristic
140C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
141C4×Dic3⋊C4C2211yescharacteristic, complemented
142#4674C2211yescharacteristic, complemented
143#4673C2211yescharacteristic
144#4672C2211yescharacteristic
145#4671C2211yescharacteristic
146#4670C2211yescharacteristic, complemented
147#4669C2211yescharacteristic
148#4667C2211yescharacteristic
149#4667C2211yescharacteristic
150#4667C2211yescharacteristic
151#4667C2211yescharacteristic, complemented
152#4667C2211yescharacteristic, complemented
153#4666C2211yescharacteristic
154#4666C2211yescharacteristic
155#4666C2211yescharacteristic, complemented
156#4665C2211yescharacteristic
157#4665C2211yescharacteristic
158#4665C2211yescharacteristic
159#4665C2211yescharacteristic
160#4665C2211yescharacteristic
161#4665C2211yescharacteristic
162#4665C2211yescharacteristic
163#4665C2211yescharacteristic
164#4665C2211yescharacteristic
165#4665C2211yescharacteristic, complemented
166#4665C2211yescharacteristic, complemented
167#4664C2211yescharacteristic
168#4664C2211yescharacteristic
169#4664C2211yescharacteristic
170#4664C2211yescharacteristic
171#4664C2211yescharacteristic, complemented
172#4664C2211yescharacteristic, complemented
173D3×#95C2211yescharacteristic
174D3×#95C2211yescharacteristic
175D3×#95C2211yescharacteristic, complemented
176#4659C2211yescharacteristic, complemented
177#4658C2211yescharacteristic, complemented
178#4655C2211yescharacteristic, complemented
179#4653C2211yescharacteristic, complemented
180#4652C2211yescharacteristic, complemented
181#4650C2211yescharacteristic, complemented
182#4650C2211yescharacteristic, 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#2687D311yescharacteristic, complemented
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#2404—31no—
214#2361—31no—
215#2352—31no—
216#2339—31no—
217#2339—31no—
218#2339—31no—
219C4×#120—31no—
220C2×#380—31no—
221C24×D3C2311yescharacteristic
222C22×C3×Q8C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C23×C3×C4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C22×#67C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C23×Dic3C2311yescharacteristic
233C23×Dic3C2311yescharacteristic
234C23×Dic3C2311yescharacteristic
235C2×#239—24no—
236C2×#239—24no—
237C2×#239—42no—
238C2×#237—24no—
239C2×#237—24no—
240C2×#237—42no—
241C2×#235—24no—
242C2×#235—24no—
243C2×#235—42no—
244C22×D12C2311yescharacteristic
245C22×D12C2311yescharacteristic
246C22×D12C2311yescharacteristic
247C22×D12C2311yescharacteristic
248C22×D12C2311yescharacteristic
249C22×C4×D3—24no—
250C22×C4×D3—24no—
251C22×C4×D3—42no—
252C22×C4×D3C2311yescharacteristic
253C22×C4×D3C2311yescharacteristic
254C22×C4×D3C2311yescharacteristic
255C22×C4×D3C2311yescharacteristic
256C22×C4×D3C2311yescharacteristic
257C22×C4×D3C2311yescharacteristic
258C22×C4×D3C2311yescharacteristic
259C22×C4×D3C2311yescharacteristic
260C22×C4×D3C2311yescharacteristic
261C22×C4×D3C2311yescharacteristic
262C22×C4×D3C2311yescharacteristic
263C22×C4×D3C2311yescharacteristic
264C22×C4×D3C2311yescharacteristic
265C22×C4×D3C2311yescharacteristic
266C22×Dic6C2311yescharacteristic
267C22×Dic6C2311yescharacteristic
268C3×#123—24no—
269C3×C22⋊Q8—24no—
270C2×C3×C4⋊C4C2311yescharacteristic
271C2×C3×C4⋊C4C2311yescharacteristic
272C2×C3×C4⋊C4C2311yescharacteristic
273C2×C3×C4⋊C4C2311yescharacteristic
274C2×C3×C4⋊C4C2311yescharacteristic
275C2×C3×C4⋊C4C2311yescharacteristic
276C2×C3×C4⋊C4C2311yescharacteristic
277C2×C3×C4⋊C4C2311yescharacteristic
278C2×C3×C22⋊C4C2311yescharacteristic
279C2×C3×C22⋊C4C2311yescharacteristic
280C2×C3×C22⋊C4C2311yescharacteristic
281C2×C3×C22⋊C4C2311yescharacteristic
282C2×C3×C22⋊C4C2311yescharacteristic
283C2×C3×C22⋊C4C2311yescharacteristic
284C2×C3×C22⋊C4C2311yescharacteristic
285C2×C3×C22⋊C4C2311yescharacteristic
286C2×C3×C22⋊C4C2311yescharacteristic
287C2×C3×C22⋊C4C2311yescharacteristic
288C2×C3×C42C2311yescharacteristic
289C2×#217C2311yescharacteristic
290C2×#217C2311yescharacteristic
291C2×#217C2311yescharacteristic
292C2×#217C2311yescharacteristic
293C2×#217C2311yescharacteristic
294C2×#217C2311yescharacteristic
295#944—24no—
296#937—24no—
297#929—24no—
298C4×#67—24no—
299C2×(C2×D3)⋊C4C2311yescharacteristic
300C2×(C2×D3)⋊C4C2311yescharacteristic
301C2×(C2×D3)⋊C4C2311yescharacteristic
302C2×(C2×D3)⋊C4C2311yescharacteristic
303C2×(C2×D3)⋊C4C2311yescharacteristic
304C2×(C2×D3)⋊C4C2311yescharacteristic
305C2×(C2×D3)⋊C4C2311yescharacteristic
306C2×(C2×D3)⋊C4C2311yescharacteristic
307C2×(C2×D3)⋊C4C2311yescharacteristic
308C2×(C2×D3)⋊C4C2311yescharacteristic
309C2×(C2×D3)⋊C4C2311yescharacteristic
310C2×(C2×D3)⋊C4C2311yescharacteristic
311C2×(C2×D3)⋊C4C2311yescharacteristic
312C2×(C2×D3)⋊C4C2311yescharacteristic
313C2×(C2×D3)⋊C4C2311yescharacteristic
314C2×(C2×D3)⋊C4C2311yescharacteristic
315C2×(C2×D3)⋊C4C2311yescharacteristic
316C2×(C2×D3)⋊C4C2311yescharacteristic
317C2×(C2×D3)⋊C4C2311yescharacteristic
318C2×(C2×D3)⋊C4C2311yescharacteristic
319C2×(C2×D3)⋊C4C2311yescharacteristic
320C2×(C2×D3)⋊C4C2311yescharacteristic
321C2×(C2×D3)⋊C4C2311yescharacteristic
322C2×(C2×D3)⋊C4C2311yescharacteristic
323C2×(C2×D3)⋊C4C2311yescharacteristic
324C2×(C2×D3)⋊C4C2311yescharacteristic
325C2×(C2×D3)⋊C4C2311yescharacteristic
326C2×(C2×D3)⋊C4C2311yescharacteristic
327C2×C4⋊Dic3C2311yescharacteristic
328C2×C4⋊Dic3C2311yescharacteristic
329C2×C4⋊Dic3C2311yescharacteristic
330C2×C4⋊Dic3C2311yescharacteristic
331C2×C4⋊Dic3C2311yescharacteristic
332C2×Dic3⋊C4C2311yescharacteristic
333C2×Dic3⋊C4C2311yescharacteristic
334C2×Dic3⋊C4C2311yescharacteristic
335C2×Dic3⋊C4C2311yescharacteristic
336C2×Dic3⋊C4C2311yescharacteristic
337C2×Dic3⋊C4C2311yescharacteristic
338C2×Dic3⋊C4C2311yescharacteristic
339C2×Dic3⋊C4C2311yescharacteristic
340C2×Dic3⋊C4C2311yescharacteristic
341C2×Dic3⋊C4C2311yescharacteristic
342C2×Dic3⋊C4C2311yescharacteristic
343C2×Dic3⋊C4C2311yescharacteristic
344C2×Dic3⋊C4C2311yescharacteristic
345C2×Dic3⋊C4C2311yescharacteristic
346C2×C4×Dic3C2311yescharacteristic
347C2×C4×Dic3C2311yescharacteristic
348C2×C4×Dic3C2311yescharacteristic
349C2×C4×Dic3C2311yescharacteristic
350C2×C4×Dic3C2311yescharacteristic
351C2×C4×Dic3C2311yescharacteristic
352#897—24no—
353#896—24no—
354#896—24no—
355#896—42no—
356#894—24no—
357#894—24no—
358#893—24no—
359#893—24no—
360#893—24no—
361#893—42no—
362D3×C4⋊C4—24no—
363D3×C4⋊C4—24no—
364D3×C4⋊C4—42no—
365#884—24no—
366#884—24no—
367#884D418yescomplemented
368#883—24no—
369#883—24no—
370#882—24no—
371#882—24no—
372#67⋊C4—24no—
373#67⋊C4—24no—
374#67⋊C4—24no—
375#67⋊C4—42no—
376#67⋊C4—42no—
377D3×C22⋊C4—42no—
378D3×C22⋊C4—42no—
379#877—24no—
380C4×D12—42no—
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×#41—31no—
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×#123C2×D311yescharacteristic
436C2×C22⋊Q8—31no—
437C2×C22⋊Q8—31no—
438C2×C22⋊Q8—31no—
439C2×C22⋊Q8—31no—
440C2×C22⋊Q8C2×D311yescharacteristic, complemented
441C2×#121—31no—
442C2×#121—31no—
443C2×#121—31no—
444C2×#120—31no—
445C2×#120—31no—
446C2×#120—31no—
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⋊C4—31no—
464#400—31no—
465#400—31no—
466#400—31no—
467#400—31no—
468#400—31no—
469#400C2×D311yescharacteristic, complemented
470#398—31no—
471#398—31no—
472#398C2×D311yescharacteristic, complemented
473#398C2×D311yescharacteristic, complemented
474#397—31no—
475#397—31no—
476#397—31no—
477#397C2×D311yescharacteristic, complemented
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#394C2×D311yescharacteristic
488#393—31no—
489#393—31no—
490#393—31no—
491#393C2×D311yescharacteristic
492#392—31no—
493#392—31no—
494#392—31no—
495#392—31no—
496#391—31no—
497#391—31no—
498#391—31no—
499#391—31no—
500#391—31no—
501#391—31no—
502#391C2×D311yescharacteristic, complemented
503#390—31no—
504#389—31no—
505#389—31no—
506#388—31no—
507#388—31no—
508#388—31no—
509#388—31no—
510#388C2×D311yescharacteristic
511#388C2×D311yescharacteristic, complemented
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#386—31no—
534#386—31no—
535#386—31no—
536#386—31no—
537#386—31no—
538#386C2×D311yescharacteristic
539#385—31no—
540#385—31no—
541#385—31no—
542#385—31no—
543#385—31no—
544#385—31no—
545#385C2×D311yescharacteristic
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, complemented
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#380C2×D311yescharacteristic
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×C3C2411yescharacteristic
581C24×C3C2411yescharacteristic
582C23×D3—22no—
583C23×D3—22no—
584C23×D3—22no—
585C23×D3—22no—
586C23×D3—22no—
587C23×D3—41no—
588C23×D3—41no—
589C23×D3C2411yescharacteristic
590C23×D3C2411yescharacteristic
591C23×D3C2411yescharacteristic
592C23×D3C2411yescharacteristic
593C2×C3×Q8—22no—
594C2×C3×Q8—22no—
595C2×C3×Q8—41no—
596C2×C3×D4—22no—
597C2×C3×D4—22no—
598C2×C3×D4—41no—
599C22×C3×C4—22no—
600C22×C3×C4—22no—
601C22×C3×C4—22no—
602C22×C3×C4—22no—
603C22×C3×C4—41no—
604C22×C3×C4—41no—
605C22×C3×C4C2411yescharacteristic
606C22×C3×C4C2411yescharacteristic
607C22×C3×C4C2411yescharacteristic
608C22×C3×C4C2411yescharacteristic
609C22×C3×C4C2411yescharacteristic
610C22×C3×C4C2411yescharacteristic
611C22×C3×C4C2411yescharacteristic
612C22×C3×C4C2411yescharacteristic
613C22×C3×C4C2411yescharacteristic
614C22×C3×C4C2411yescharacteristic
615C22×C3×C4C2411yescharacteristic
616C22×C3×C4C2411yescharacteristic
617C22×C3×C4C2411yescharacteristic
618C2×#67—22no—
619C2×#67—22no—
620C2×#67—22no—
621C2×#67—22no—
622C2×#67—22no—
623C2×#67—22no—
624C2×#67—22no—
625C2×#67—22no—
626C2×#67—22no—
627C2×#67—22no—
628C2×#67—22no—
629C2×#67—22no—
630C2×#67—41no—
631C2×#67—41no—
632C2×#67—41no—
633C2×#67—41no—
634C2×#67C2×D414yes—
635C2×#67C2×D414yes—
636C22×Dic3—22no—
637C22×Dic3—22no—
638C22×Dic3—22no—
639C22×Dic3—22no—
640C22×Dic3—41no—
641C22×Dic3—41no—
642C22×Dic3—41no—
643C22×Dic3—41no—
644C22×Dic3#4114yescomplemented
645C22×Dic3C2411yescharacteristic
646C22×Dic3C2411yescharacteristic
647C22×Dic3C2411yescharacteristic
648C22×Dic3C2411yescharacteristic
649C22×Dic3C2411yescharacteristic
650C22×Dic3C2411yescharacteristic
651C22×Dic3C2411yescharacteristic
652C22×Dic3C2411yescharacteristic
653C22×Dic3C2411yescharacteristic
654C22×Dic3C2411yescharacteristic
655C22×Dic3C2411yescharacteristic
656C22×Dic3C2411yescharacteristic
657#239—416no—
658#237—416no—
659#235—416no—
660C2×D12—22no—
661C2×D12—22no—
662C2×D12—22no—
663C2×D12—22no—
664C2×D12—22no—
665C2×D12—22no—
666C2×D12—22no—
667C2×D12—22no—
668C2×D12—22no—
669C2×D12—22no—
670C2×D12—41no—
671C2×D12—41no—
672C2×D12—41no—
673C2×D12C2×D414yes—
674C2×D12#4114yescomplemented
675C2×C4×D3—22no—
676C2×C4×D3—22no—
677C2×C4×D3—22no—
678C2×C4×D3—22no—
679C2×C4×D3—22no—
680C2×C4×D3—22no—
681C2×C4×D3—22no—
682C2×C4×D3—22no—
683C2×C4×D3—22no—
684C2×C4×D3—22no—
685C2×C4×D3—22no—
686C2×C4×D3—22no—
687C2×C4×D3—22no—
688C2×C4×D3—22no—
689C2×C4×D3—22no—
690C2×C4×D3—22no—
691C2×C4×D3—22no—
692C2×C4×D3—22no—
693C2×C4×D3—22no—
694C2×C4×D3—22no—
695C2×C4×D3—22no—
696C2×C4×D3—22no—
697C2×C4×D3—22no—
698C2×C4×D3—22no—
699C2×C4×D3—22no—
700C2×C4×D3—22no—
701C2×C4×D3—22no—
702C2×C4×D3—22no—
703C2×C4×D3—416no—
704C2×C4×D3—41no—
705C2×C4×D3—41no—
706C2×C4×D3—41no—
707C2×C4×D3—41no—
708C2×C4×D3—41no—
709C2×C4×D3—41no—
710C2×C4×D3—41no—
711C2×C4×D3—41no—
712C2×C4×D3—41no—
713C2×C4×D3—41no—
714C2×C4×D3—41no—
715C2×C4×D3—41no—
716C2×C4×D3—41no—
717C2×C4×D3C2×D414yes—
718C2×Dic6—22no—
719C2×Dic6—22no—
720C2×Dic6—22no—
721C2×Dic6—22no—
722C2×Dic6—22no—
723C2×Dic6—41no—
724C3×C4⋊C4—22no—
725C3×C4⋊C4—22no—
726C3×C4⋊C4—22no—
727C3×C4⋊C4—22no—
728C3×C4⋊C4—22no—
729C3×C4⋊C4—41no—
730C3×C4⋊C4—41no—
731C3×C4⋊C4—41no—
732C3×C22⋊C4—22no—
733C3×C22⋊C4—22no—
734C3×C22⋊C4—22no—
735C3×C22⋊C4—22no—
736C3×C22⋊C4—22no—
737C3×C22⋊C4—41no—
738C3×C22⋊C4—41no—
739C3×C22⋊C4—41no—
740C3×C22⋊C4—41no—
741C3×C22⋊C4C2×D414yes—
742C3×C42—41no—
743#217—22no—
744#217—22no—
745#217—41no—
746#217—41no—
747#217—41no—
748#217—41no—
749(C2×D3)⋊C4—22no—
750(C2×D3)⋊C4—22no—
751(C2×D3)⋊C4—22no—
752(C2×D3)⋊C4—22no—
753(C2×D3)⋊C4—22no—
754(C2×D3)⋊C4—22no—
755(C2×D3)⋊C4—22no—
756(C2×D3)⋊C4—22no—
757(C2×D3)⋊C4—22no—
758(C2×D3)⋊C4—22no—
759(C2×D3)⋊C4—22no—
760(C2×D3)⋊C4—22no—
761(C2×D3)⋊C4—22no—
762(C2×D3)⋊C4—22no—
763(C2×D3)⋊C4—41no—
764(C2×D3)⋊C4—41no—
765(C2×D3)⋊C4—41no—
766(C2×D3)⋊C4—41no—
767(C2×D3)⋊C4—41no—
768(C2×D3)⋊C4—41no—
769(C2×D3)⋊C4—41no—
770(C2×D3)⋊C4—41no—
771(C2×D3)⋊C4—41no—
772(C2×D3)⋊C4—41no—
773(C2×D3)⋊C4—41no—
774(C2×D3)⋊C4—41no—
775(C2×D3)⋊C4—41no—
776(C2×D3)⋊C4C2×D414yes—
777C4⋊Dic3—22no—
778C4⋊Dic3—22no—
779C4⋊Dic3—41no—
780C4⋊Dic3—41no—
781C4⋊Dic3—41no—
782Dic3⋊C4—22no—
783Dic3⋊C4—22no—
784Dic3⋊C4—22no—
785Dic3⋊C4—22no—
786Dic3⋊C4—22no—
787Dic3⋊C4—22no—
788Dic3⋊C4—22no—
789Dic3⋊C4—22no—
790Dic3⋊C4—22no—
791Dic3⋊C4—22no—
792Dic3⋊C4—41no—
793Dic3⋊C4—41no—
794Dic3⋊C4—41no—
795Dic3⋊C4C2×D414yes—
796C4×Dic3—22no—
797C4×Dic3—22no—
798C4×Dic3—22no—
799C4×Dic3—22no—
800C4×Dic3—22no—
801C4×Dic3—41no—
802C25—31no—
803C2×#41—64no—
804C2×#41—64no—
805C2×#41—64no—
806C2×#41—64no—
807C2×#41—64no—
808C2×#41—64no—
809C2×#41—122no—
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×D4—31no—
821C22×D4—31no—
822C22×D4—31no—
823C22×D4—31no—
824C22×D4—31no—
825C22×D4—31no—
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—31no—
843C23×C4—31no—
844C23×C4—64no—
845C23×C4—64no—
846C23×C4—122no—
847C23×C4C22×D311yescharacteristic
848C23×C4C22×D311yescharacteristic
849C4⋊Q8—64no—
850#123—24no—
851#123—64no—
852#123—64no—
853#123—64no—
854#123—64no—
855#123—64no—
856C22⋊Q8—24no—
857C22⋊Q8—64no—
858C22⋊Q8—64no—
859C22⋊Q8—64no—
860C22⋊Q8—122no—
861#121—38no—
862#121—64no—
863#121—64no—
864#120—64no—
865#120—64no—
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—64no—
899C2×C4⋊C4—64no—
900C2×C4⋊C4—122no—
901C2×C4⋊C4C22×D311yescharacteristic
902C2×C4⋊C4C22×D311yescharacteristic
903C2×C4⋊C4C22×D311yescharacteristic
904C2×C4⋊C4C22×D311yescharacteristic
905C2×C4⋊C4C22×D311yescharacteristic
906C2×C4⋊C4C22×D311yescharacteristic
907C2×C4⋊C4C22×D311yescharacteristic
908C2×C4⋊C4C22×D311yescharacteristic
909C2×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—31no—
940C2×C22⋊C4—31no—
941C2×C22⋊C4—31no—
942C2×C22⋊C4—31no—
943C2×C22⋊C4—122no—
944C2×C22⋊C4—122no—
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×C42C22×D311yescharacteristic
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#95C22×D311yescharacteristic
993#95C22×D311yescharacteristic
994#95C22×D311yescharacteristic
995#95C22×D311yescharacteristic
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—21no—
1009C23×C3—21no—
1010C23×C3—21no—
1011C23×C3—21no—
1012C23×C3—21no—
1013C23×C3—21no—
1014C23×C3—21no—
1015C23×C3—21no—
1016C23×C3C22×D412yes—
1017C23×C3C2×#4112yes—
1018C23×C3C2511yescharacteristic
1019C22×D3—21no—
1020C22×D3—21no—
1021C22×D3—21no—
1022C22×D3—21no—
1023C22×D3—28no—
1024C22×D3—21no—
1025C22×D3—21no—
1026C22×D3—21no—
1027C22×D3—21no—
1028C22×D3—21no—
1029C22×D3—21no—
1030C22×D3—21no—
1031C22×D3—21no—
1032C22×D3—21no—
1033C22×D3—21no—
1034C22×D3—21no—
1035C22×D3—21no—
1036C22×D3—21no—
1037C22×D3—21no—
1038C22×D3—21no—
1039C22×D3—21no—
1040C22×D3—21no—
1041C22×D3—21no—
1042C22×D3—44no—
1043C22×D3—44no—
1044C22×D3—44no—
1045C22×D3—44no—
1046C22×D3—44no—
1047C22×D3—44no—
1048C22×D3C22×D412yes—
1049C22×D3C22×D412yes—
1050C22×D3C2×#4112yes—
1051C22×D3C2×#4112yes—
1052C22×D3H(5,𝔽2)12yes—
1053C22×D32−1+412yes—
1054C3×Q8—44no—
1055C3×D4—44no—
1056C2×C3×C4—21no—
1057C2×C3×C4—21no—
1058C2×C3×C4—21no—
1059C2×C3×C4—21no—
1060C2×C3×C4—21no—
1061C2×C3×C4—21no—
1062C2×C3×C4—21no—
1063C2×C3×C4—21no—
1064C2×C3×C4—21no—
1065C2×C3×C4—21no—
1066C2×C3×C4—21no—
1067C2×C3×C4—21no—
1068C2×C3×C4—21no—
1069C2×C3×C4—21no—
1070C2×C3×C4—21no—
1071C2×C3×C4—21no—
1072C2×C3×C4—21no—
1073C2×C3×C4—21no—
1074C2×C3×C4—21no—
1075C2×C3×C4—21no—
1076C2×C3×C4—21no—
1077C2×C3×C4—21no—
1078C2×C3×C4—21no—
1079C2×C3×C4—21no—
1080C2×C3×C4—21no—
1081C2×C3×C4—21no—
1082C2×C3×C4—21no—
1083C2×C3×C4—21no—
1084C2×C3×C4—21no—
1085C2×C3×C4—21no—
1086C2×C3×C4—21no—
1087C2×C3×C4—21no—
1088C2×C3×C4—21no—
1089C2×C3×C4—21no—
1090C2×C3×C4—21no—
1091C2×C3×C4—21no—
1092C2×C3×C4—44no—
1093C2×C3×C4—44no—
1094C2×C3×C4C22×D412yes—
1095C2×C3×C4C22×D412yes—
1096C2×C3×C4C2×#4112yes—
1097#67—28no—
1098#67—28no—
1099#67—44no—
1100#67—44no—
1101#67—44no—
1102#67—44no—
1103C2×Dic3—21no—
1104C2×Dic3—21no—
1105C2×Dic3—21no—
1106C2×Dic3—21no—
1107C2×Dic3—28no—
1108C2×Dic3—21no—
1109C2×Dic3—21no—
1110C2×Dic3—21no—
1111C2×Dic3—21no—
1112C2×Dic3—21no—
1113C2×Dic3—21no—
1114C2×Dic3—21no—
1115C2×Dic3—21no—
1116C2×Dic3—21no—
1117C2×Dic3—21no—
1118C2×Dic3—21no—
1119C2×Dic3—21no—
1120C2×Dic3—21no—
1121C2×Dic3—21no—
1122C2×Dic3—21no—
1123C2×Dic3—21no—
1124C2×Dic3—21no—
1125C2×Dic3—21no—
1126C2×Dic3—21no—
1127C2×Dic3—21no—
1128C2×Dic3—21no—
1129C2×Dic3—21no—
1130C2×Dic3—21no—
1131C2×Dic3—21no—
1132C2×Dic3—21no—
1133C2×Dic3—21no—
1134C2×Dic3—21no—
1135C2×Dic3—44no—
1136C2×Dic3—82no—
1137C2×Dic3C22×D412yes—
1138C2×Dic3C22×D412yes—
1139C2×Dic3C2×#4112yes—
1140C2×Dic3C2×#4112yes—
1141C2×Dic3H(5,𝔽2)12yes—
1142D12—28no—
1143D12—28no—
1144D12—44no—
1145D12—44no—
1146D12—44no—
1147C4×D3—28no—
1148C4×D3—44no—
1149C4×D3—44no—
1150C4×D3—44no—
1151C4×D3—44no—
1152C4×D3—44no—
1153C4×D3—44no—
1154C4×D3—44no—
1155C4×D3—44no—
1156C4×D3—44no—
1157C4×D3—44no—
1158C4×D3—82no—
1159C4×D3—82no—
1160C4×D3—82no—
1161Dic6—44no—
1162Dic6—44no—
1163C24—31no—
1164C24—31no—
1165C24—31no—
1166C24—31no—
1167C24—62no—
1168C24—62no—
1169C24—62no—
1170C24—62no—
1171C24—62no—
1172C24—121no—
1173C24—121no—
1174C24C23×D311yescharacteristic
1175C24C23×D311yescharacteristic
1176#41—1216no—
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—34no—
1191C2×D4—34no—
1192C2×D4—34no—
1193C2×D4—34no—
1194C2×D4—41no—
1195C2×D4—62no—
1196C2×D4—62no—
1197C2×D4—62no—
1198C2×D4—62no—
1199C2×D4—62no—
1200C2×D4—62no—
1201C2×D4—62no—
1202C2×D4—62no—
1203C2×D4—62no—
1204C2×D4—62no—
1205C2×D4—62no—
1206C2×D4—62no—
1207C2×D4—62no—
1208C2×D4—62no—
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—121no—
1218C2×D4—121no—
1219C2×D4—121no—
1220C2×D4—121no—
1221C2×D4—121no—
1222C2×D4—121no—
1223C2×D4—121no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—31no—
1229C22×C4—34no—
1230C22×C4—31no—
1231C22×C4—31no—
1232C22×C4—34no—
1233C22×C4—31no—
1234C22×C4—31no—
1235C22×C4—31no—
1236C22×C4—31no—
1237C22×C4—31no—
1238C22×C4—31no—
1239C22×C4—31no—
1240C22×C4—31no—
1241C22×C4—31no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4—62no—
1245C22×C4—62no—
1246C22×C4—62no—
1247C22×C4—62no—
1248C22×C4—62no—
1249C22×C4—62no—
1250C22×C4—62no—
1251C22×C4—62no—
1252C22×C4—62no—
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—121no—
1277C22×C4—121no—
1278C22×C4—121no—
1279C22×C4—121no—
1280C22×C4—121no—
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—1216no—
1290C22×C4—121no—
1291C22×C4—121no—
1292C22×C4—121no—
1293C22×C4—121no—
1294C22×C4C23×D311yescharacteristic
1295C22×C4C23×D311yescharacteristic
1296C22×C4C23×D311yescharacteristic
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—22no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—34no—
1313C4⋊C4—41no—
1314C4⋊C4—41no—
1315C4⋊C4—41no—
1316C4⋊C4—62no—
1317C4⋊C4—62no—
1318C4⋊C4—62no—
1319C4⋊C4—62no—
1320C4⋊C4—62no—
1321C4⋊C4—62no—
1322C4⋊C4—62no—
1323C4⋊C4—62no—
1324C4⋊C4—62no—
1325C4⋊C4—62no—
1326C4⋊C4—62no—
1327C4⋊C4—62no—
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—34no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C22⋊C4—62no—
1345C22⋊C4—62no—
1346C22⋊C4—62no—
1347C22⋊C4—62no—
1348C22⋊C4—62no—
1349C22⋊C4—62no—
1350C22⋊C4—62no—
1351C22⋊C4—62no—
1352C22⋊C4—62no—
1353C22⋊C4—62no—
1354C22⋊C4—62no—
1355C22⋊C4—62no—
1356C22⋊C4—62no—
1357C22⋊C4—62no—
1358C22⋊C4—62no—
1359C22⋊C4—62no—
1360C22⋊C4—121no—
1361C22⋊C4—121no—
1362C22⋊C4—121no—
1363C22⋊C4—121no—
1364C22⋊C4—121no—
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⋊C4D3×D414yes—
1378C42—41no—
1379C42—62no—
1380C42—62no—
1381C42—62no—
1382C42—62no—
1383C42—62no—
1384C42—121no—
1385C22×C3—22no—
1386C22×C3—22no—
1387C22×C3—22no—
1388C22×C3—22no—
1389C22×C3—22no—
1390C22×C3—22no—
1391C22×C3—41no—
1392C22×C3—41no—
1393C22×C3—41no—
1394C22×C3—41no—
1395C22×C3—41no—
1396C22×C3—41no—
1397C22×C3—41no—
1398C22×C3—41no—
1399C22×C3C23×D411yescharacteristic
1400C22×C3C22×#4111yescharacteristic
1401C22×C3C22×#4111yescharacteristic
1402C22×C3C2×H(5,𝔽2)11yescharacteristic
1403C22×C3C2×H(5,𝔽2)11yescharacteristic
1404C22×C3C2×2−1+411yescharacteristic
1405C22×C3#58511yescharacteristic
1406C2×D3—22no—
1407C2×D3—22no—
1408C2×D3—22no—
1409C2×D3—22no—
1410C2×D3—22no—
1411C2×D3—22no—
1412C2×D3—22no—
1413C2×D3—22no—
1414C2×D3—22no—
1415C2×D3—22no—
1416C2×D3—22no—
1417C2×D3—22no—
1418C2×D3—22no—
1419C2×D3—22no—
1420C2×D3—22no—
1421C2×D3—416no—
1422C2×D3—41no—
1423C2×D3—41no—
1424C2×D3—41no—
1425C2×D3—41no—
1426C2×D3—41no—
1427C2×D3—41no—
1428C2×D3—41no—
1429C2×D3—41no—
1430C2×D3—41no—
1431C2×D3—41no—
1432C2×D3—41no—
1433C2×D3—41no—
1434C2×D3#54614yes—
1435C3×C4—22no—
1436C3×C4—22no—
1437C3×C4—22no—
1438C3×C4—41no—
1439C3×C4—41no—
1440C3×C4—41no—
1441C3×C4—41no—
1442C3×C4—41no—
1443C3×C4—41no—
1444C3×C4—41no—
1445C3×C4—41no—
1446C3×C4—41no—
1447C3×C4—41no—
1448Dic3—22no—
1449Dic3—22no—
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—21no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—32no—
1473C23—32no—
1474C23—32no—
1475C23—32no—
1476C23—32no—
1477C23—32no—
1478C23—68no—
1479C23—61no—
1480C23—61no—
1481C23—61no—
1482C23—61no—
1483C23—61no—
1484C23—61no—
1485C23—61no—
1486C23—61no—
1487C23—61no—
1488C23—61no—
1489C23—61no—
1490C23—61no—
1491C23—61no—
1492C23—61no—
1493C23—61no—
1494C23—61no—
1495C23—61no—
1496C23—61no—
1497C23—61no—
1498C23—61no—
1499C23—61no—
1500C23—61no—
1501C23—124no—
1502C23—124no—
1503C23—124no—
1504C23—124no—
1505C23—124no—
1506C23—124no—
1507C23C2×D3×D412yes—
1508C23D3×#4112yes—
1509C23C24×D311yescharacteristic
1510Q8—44no—
1511Q8—124no—
1512Q8—124no—
1513D4—44no—
1514D4—68no—
1515D4—68no—
1516D4—68no—
1517D4—68no—
1518D4—124no—
1519D4—124no—
1520D4—124no—
1521D4—124no—
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—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—32no—
1562C2×C4—32no—
1563C2×C4—32no—
1564C2×C4—32no—
1565C2×C4—32no—
1566C2×C4—44no—
1567C2×C4—44no—
1568C2×C4—68no—
1569C2×C4—68no—
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—124no—
1602C2×C4—124no—
1603C2×C4—124no—
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—242no—
1613C2×C4—242no—
1614C2×C4—242no—
1615C2×C4—242no—
1616C2×C4C2×D3×D412yes—
1617C2×C4C2×D3×D412yes—
1618C2×C4D3×#4112yes—
1619C2×C3—42no—
1620C2×C3—42no—
1621C2×C3C2×#54611yescharacteristic
1622C2×C3C2×#54611yescharacteristic
1623C2×C3#347511yescharacteristic
1624C2×C3#348911yescharacteristic
1625C2×C3#349211yescharacteristic
1626C2×C3#352011yescharacteristic
1627C2×C3#354211yescharacteristic
1628D3—24no—
1629D3—42no—
1630D3—42no—
1631D3—42no—
1632C22—22no—
1633C22—22no—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—34no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—62no—
1648C22—62no—
1649C22—62no—
1650C22—62no—
1651C22—62no—
1652C22—62no—
1653C22—62no—
1654C22—62no—
1655C22—62no—
1656C22—62no—
1657C22—62no—
1658C22—62no—
1659C22—62no—
1660C22—62no—
1661C22—62no—
1662C22—1216no—
1663C22—121no—
1664C22—121no—
1665C22—121no—
1666C22—121no—
1667C22—121no—
1668C22—121no—
1669C22—121no—
1670C22—121no—
1671C22—121no—
1672C22—121no—
1673C22—121no—
1674C22—121no—
1675C22C22×D3×D411yescharacteristic
1676C22C2×D3×#4111yescharacteristic
1677C22C2×D3×#4111yescharacteristic
1678C22D3×H(5,𝔽2)11yescharacteristic
1679C22D3×H(5,𝔽2)11yescharacteristic
1680C22D3×2−1+411yescharacteristic
1681C22#596811yescharacteristic
1682C4—22no—
1683C4—22no—
1684C4—22no—
1685C4—34no—
1686C4—41no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—62no—
1697C4—62no—
1698C4—121no—
1699C4—121no—
1700C4—121no—
1701C4—121no—
1702C4—121no—
1703C4—121no—
1704C4—121no—
1705C4—121no—
1706C4—121no—
1707C3#5902311yescharacteristic, complemented, Sylow
1708C2—42no—
1709C2—42no—
1710C2—64no—
1711C2—122no—
1712C2—122no—
1713C2—122no—
1714C2#8635611yescharacteristic
1715C2#8643011yescharacteristic
1716C2#8655611yescharacteristic
1717C2D3×#54611yescharacteristic
1718C2D3×#54611yescharacteristic
1719C2#8682611yescharacteristic
1720C2#8709711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2687C2
hypercenter#2687D3
hypocenterC3#59023
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2687

Complements

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

NH ≅ G/Ntype
1. C2×#5656C2semidirect
2. C2×#5631C2semidirect
3. C3×#2687C2semidirect
4. #82875C2semidirect
5. #82765C2semidirect
6. #78152C2semidirect
7. #78138C2semidirect
8. #77953C2semidirect
9. #77947C2semidirect
10. #77742C2semidirect
11. #77742C2semidirect
12. #77671C2semidirect
13. #77513C2semidirect
14. #77119C2semidirect
15. #76894C2semidirect
16. #76863C2semidirect
17. #76782C2semidirect
18. #76613C2semidirect
19. #76517C2semidirect
20. #75881C2semidirect
21. #75851C2semidirect
22. #75834C2semidirect
23. #75477C2semidirect
24. #74886C2semidirect
25. #74672C2semidirect
26. #74633C2semidirect
27. #74379C2semidirect
28. #74121C2semidirect
29. #74066C2semidirect
30. #74040C2semidirect
31. D3×#380C2semidirect
38. C2×C3×C22⋊Q8C22semidirect
39. C2×#944C22semidirect
42. C2×C4×#67C22semidirect
45. C2×#897C22semidirect
48. C2×#896C22semidirect
50. C2×#894C22semidirect
57. C2×D3×C4⋊C4C22semidirect
60. C2×#884C22semidirect
62. C2×#883C22semidirect
69. C2×#67⋊C4C22semidirect
74. C3×#400C22semidirect
75. C3×#398C22semidirect
76. C3×#398C22semidirect
77. C3×#397C22semidirect
80. C3×#391C22semidirect
82. C3×#388C22semidirect
85. C3×#381C22semidirect
88. #5229C22semidirect
94. C2×C3⋊#95C22semidirect
97. #4994C22semidirect
98. #4994C22semidirect
99. #4992C22semidirect
102. #4989C22semidirect
103. #4989C22semidirect
107. #4987C22semidirect
108. #4986C22semidirect
109. #4985C22semidirect
110. #4985C22semidirect
111. #4982C22semidirect
112. #4982C22semidirect
113. #4978C22semidirect
119. #4958C22semidirect
120. #4958C22semidirect
121. #4957C22semidirect
128. #4952C22semidirect
130. #4950C22semidirect
134. #4946C22semidirect
135. #4943C22semidirect
140. C4×(C2×D3)⋊C4C22semidirect
141. C4×Dic3⋊C4C22semidirect
142. #4674C22semidirect
146. #4670C22semidirect
151. #4667C22semidirect
152. #4667C22semidirect
155. #4666C22semidirect
165. #4665C22semidirect
166. #4665C22semidirect
171. #4664C22semidirect
172. #4664C22semidirect
175. D3×#95C22semidirect
176. #4659C22semidirect
177. #4658C22semidirect
178. #4655C22semidirect
179. #4653C22semidirect
180. #4652C22semidirect
181. #4650C22semidirect
182. #4650C22semidirect
183. #4647C22semidirect
184. #4647C22semidirect
185. #4646C22semidirect
186. #4646C22semidirect
187. #4646C22semidirect
188. #4646C22semidirect
189. #4646C22semidirect
195. #2687D3semidirect
367. #884D4semidirect
440. C2×C22⋊Q8C2×D3semidirect
469. #400C2×D3semidirect
472. #398C2×D3semidirect
473. #398C2×D3semidirect
477. #397C2×D3semidirect
502. #391C2×D3semidirect
511. #388C2×D3semidirect
555. #381C2×D3semidirect
644. C22×Dic3#41semidirect
674. C2×D12#41semidirect
1707. C3#59023semidirect

Maximal subgroups

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

subgroupindex
C2×#56562
C2×#56312
C3×#26872
#828752
#827652
#781522
#781382
#779532
#779472
#777422
#776712
#775132
#771192
#768942
#768632
#767822
#766132
#765172
#758812
#758512
#758342
#754772
#748862
#746722
#746332
#743792
#741212
#740662
#740402
D3×#3802
#590233