Finite Group Databasebeta

← #11633212

Subgroups — #11633212

Order 768.

2902 conjugacy classes of subgroups.

The subgroup lattice has 1784 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5612C211yesmaximal, characteristic, complemented
2C2×#5606C211yesmaximal, characteristic, complemented
3C3×#2699C211yesmaximal, characteristic, complemented
4#82688C211yesmaximal, characteristic, complemented
5#82656C211yesmaximal, characteristic, complemented
6#77953C211yesmaximal, characteristic, complemented
7#77949C211yesmaximal, characteristic, complemented
8#77119C211yesmaximal, characteristic, complemented
9#77118C211yesmaximal, characteristic, complemented
10#77115C211yesmaximal, characteristic, complemented
11#77110C211yesmaximal, characteristic, complemented
12#77110C211yesmaximal, characteristic, complemented
13#76909C211yesmaximal, characteristic, complemented
14#76759C211yesmaximal, characteristic, complemented
15#76755C211yesmaximal, characteristic, complemented
16#76754C211yesmaximal, characteristic, complemented
17#76679C211yesmaximal, characteristic, complemented
18#76440C211yesmaximal, characteristic, complemented
19#76432C211yesmaximal, characteristic, complemented
20#75868C211yesmaximal, characteristic, complemented
21#75868C211yesmaximal, characteristic, complemented
22#75839C211yesmaximal, characteristic, complemented
23#75833C211yesmaximal, characteristic, complemented
24#74896C211yesmaximal, characteristic, complemented
25D3×#386C211yesmaximal, characteristic, complemented
26#74811C211yesmaximal, characteristic, complemented
27#74672C211yesmaximal, characteristic, complemented
28#74127C211yesmaximal, characteristic, complemented
29#74121C211yesmaximal, characteristic, complemented
30D3×#381C211yesmaximal, characteristic, complemented
31#74094C211yesmaximal, characteristic, complemented
32#59009—31nomaximal, Sylow
33C22×#237C2211yescharacteristic
34C22×D3×D4C2211yescharacteristic
35C22×#235C2211yescharacteristic
36C23×C4×D3C2211yescharacteristic
37C2×C3×#121C2211yescharacteristic
38C2×C3×#121C2211yescharacteristic, complemented
39C2×#938C2211yescharacteristic
40C2×#938C2211yescharacteristic
41C2×#938C2211yescharacteristic
42C2×#938C2211yescharacteristic, complemented
43C2×#937C2211yescharacteristic
44C2×#937C2211yescharacteristic
45C2×#937C2211yescharacteristic
46C2×#937C2211yescharacteristic
47C2×#936C2211yescharacteristic
48C2×D4×Dic3C2211yescharacteristic, complemented
49C2×D4×Dic3C2211yescharacteristic, complemented
50C2×C4×#67C2211yescharacteristic
51C2×#924C2211yescharacteristic, complemented
52#5612—28no—
53#5606—28no—
54C2×#897C2211yescharacteristic
55C2×#897C2211yescharacteristic, complemented
56C2×#893C2211yescharacteristic
57C2×#892C2211yescharacteristic
58C2×#884C2211yescharacteristic
59C2×#883C2211yescharacteristic
60C2×#883C2211yescharacteristic
61C2×#883C2211yescharacteristic
62C2×#883C2211yescharacteristic
63C2×#883C2211yescharacteristic, complemented
64C2×#67⋊C4C2211yescharacteristic
65C2×#67⋊C4C2211yescharacteristic, complemented
66C2×#67⋊C4C2211yescharacteristic, complemented
67C2×#67⋊C4C2211yescharacteristic, complemented
68C2×D3×C22⋊C4C2211yescharacteristic
69C2×D3×C22⋊C4C2211yescharacteristic
70C2×D3×C22⋊C4C2211yescharacteristic
71C2×D3×C22⋊C4C2211yescharacteristic
72C2×D3×C22⋊C4C2211yescharacteristic
73C2×D3×C22⋊C4C2211yescharacteristic
74C3×#398C2211yescharacteristic, complemented
75C3×#394C2211yescharacteristic, complemented
76C3×#394C2211yescharacteristic, complemented
77C3×#394C2211yescharacteristic, complemented
78C3×#392C2211yescharacteristic
79C3×#392C2211yescharacteristic, complemented
80C3×#390C2211yescharacteristic, complemented
81C3×#388C2211yescharacteristic, complemented
82C3×#388C2211yescharacteristic, complemented
83C3×#386C2211yescharacteristic
84C3×#386C2211yescharacteristic, complemented
85C3×#381C2211yescharacteristic, complemented
86C3×#381C2211yescharacteristic, complemented
87#5223C2211yescharacteristic
88#5223C2211yescharacteristic, complemented
89#5222C2211yescharacteristic
90#5222C2211yescharacteristic, complemented
91#5222C2211yescharacteristic, complemented
92#5220C2211yescharacteristic
93#5220C2211yescharacteristic, complemented
94#5220C2211yescharacteristic, complemented
95#5220C2211yescharacteristic, complemented
96#5220C2211yescharacteristic, complemented
97#5220C2211yescharacteristic, complemented
98#5213C2211yescharacteristic
99#5211C2211yescharacteristic, complemented
100#5210C2211yescharacteristic, complemented
101C2×C3⋊#95C2211yescharacteristic, complemented
102#4994C2211yescharacteristic, complemented
103#4989C2211yescharacteristic
104#4989C2211yescharacteristic, complemented
105#4989C2211yescharacteristic, complemented
106#4989C2211yescharacteristic, complemented
107#4987C2211yescharacteristic
108#4987C2211yescharacteristic, complemented
109#4986C2211yescharacteristic, complemented
110#4986C2211yescharacteristic, complemented
111#4984C2211yescharacteristic, complemented
112#4980C2211yescharacteristic, complemented
113#4978C2211yescharacteristic, complemented
114#4961C2211yescharacteristic
115#4961C2211yescharacteristic, complemented
116#4958C2211yescharacteristic
117#4958C2211yescharacteristic, complemented
118#4958C2211yescharacteristic, complemented
119#4958C2211yescharacteristic, complemented
120#4956C2211yescharacteristic
121#4956C2211yescharacteristic
122#4956C2211yescharacteristic
123#4956C2211yescharacteristic
124#4956C2211yescharacteristic
125#4956C2211yescharacteristic
126#4956C2211yescharacteristic
127#4956C2211yescharacteristic, complemented
128#4956C2211yescharacteristic, complemented
129#4956C2211yescharacteristic, complemented
130#4956C2211yescharacteristic, complemented
131#4955C2211yescharacteristic
132#4953C2211yescharacteristic, complemented
133#4953C2211yescharacteristic, complemented
134#4953C2211yescharacteristic, complemented
135#4953C2211yescharacteristic, complemented
136#4952C2211yescharacteristic, complemented
137#4952C2211yescharacteristic, complemented
138#4952C2211yescharacteristic, complemented
139#4951C2211yescharacteristic, complemented
140#4951C2211yescharacteristic, complemented
141#4951C2211yescharacteristic, complemented
142#4948C2211yescharacteristic, complemented
143#4947C2211yescharacteristic, complemented
144#4947C2211yescharacteristic, complemented
145#4945C2211yescharacteristic, complemented
146#4944C2211yescharacteristic, complemented
147#4944C2211yescharacteristic, complemented
148#4944C2211yescharacteristic, complemented
149#4943C2211yescharacteristic, complemented
150#4943C2211yescharacteristic, complemented
151#4943C2211yescharacteristic, complemented
152#4942C2211yescharacteristic, complemented
153Dic3×C22⋊C4C2211yescharacteristic, complemented
154C4×(C2×D3)⋊C4C2211yescharacteristic
155C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
156C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
157#4936C2211yescharacteristic, complemented
158#4673C2211yescharacteristic, complemented
159#4669C2211yescharacteristic, complemented
160#4668C2211yescharacteristic
161#4668C2211yescharacteristic, complemented
162#4667C2211yescharacteristic
163#4667C2211yescharacteristic, complemented
164#4666C2211yescharacteristic, complemented
165#4665C2211yescharacteristic
166#4665C2211yescharacteristic
167#4665C2211yescharacteristic
168#4664C2211yescharacteristic
169#4664C2211yescharacteristic
170#4664C2211yescharacteristic
171#4664C2211yescharacteristic
172#4664C2211yescharacteristic, complemented
173D3×#95C2211yescharacteristic
174D3×#95C2211yescharacteristic
175D3×#95C2211yescharacteristic, complemented
176D3×#95C2211yescharacteristic, complemented
177D3×#95C2211yescharacteristic, complemented
178D3×#95C2211yescharacteristic, complemented
179#4661C2211yescharacteristic, complemented
180#4660C2211yescharacteristic, complemented
181#4660C2211yescharacteristic, complemented
182#4657C2211yescharacteristic, complemented
183#4656C2211yescharacteristic, complemented
184#4655C2211yescharacteristic, complemented
185#4652C2211yescharacteristic, complemented
186#4646C2211yescharacteristic, complemented
187#4646C2211yescharacteristic, complemented
188#4646C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#546—31no—
191C2×#525—31no—
192#2700—31no—
193#2699D311yescharacteristic, complemented
194#2688—31no—
195#2687—31no—
196#2543—31no—
197#2534—31no—
198#2488—31no—
199#2488—31no—
200#2459—31no—
201#2457—31no—
202#2450—31no—
203#2444—31no—
204#2444—31no—
205#2438—31no—
206#2430—31no—
207#2425—31no—
208#2420—31no—
209#2419—31no—
210#2412—31no—
211#2412—31no—
212#2410—31no—
213#2404—31no—
214#2364—31no—
215#2358—31no—
216#2342—31no—
217#2339—31no—
218#2339—31no—
219C2×#386—31no—
220C2×#381—31no—
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C22×C3×D4C2311yescharacteristic
229C23×C3×C4C2311yescharacteristic
230C23×C3×C4C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C23×Dic3C2311yescharacteristic
240C23×Dic3C2311yescharacteristic
241C23×Dic3C2311yescharacteristic
242C23×Dic3C2311yescharacteristic
243C2×#237—24no—
244C2×#237—24no—
245C2×#237—42no—
246C2×D3×D4—24no—
247C2×D3×D4—24no—
248C2×D3×D4—42no—
249C2×#235—24no—
250C2×#235—24no—
251C2×#235—42no—
252C22×D12C2311yescharacteristic
253C22×C4×D3—24no—
254C22×C4×D3—24no—
255C22×C4×D3—42no—
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×C4×D3C2311yescharacteristic
267C22×C4×D3C2311yescharacteristic
268C22×C4×D3C2311yescharacteristic
269C22×Dic6C2311yescharacteristic
270C22×Dic6C2311yescharacteristic
271C3×#121—24no—
272C3×#121—24no—
273C2×C3×C4⋊C4C2311yescharacteristic
274C2×C3×C4⋊C4C2311yescharacteristic
275C2×C3×C4⋊C4C2311yescharacteristic
276C2×C3×C4⋊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
285C2×C3×C22⋊C4C2311yescharacteristic
286C2×C3×C22⋊C4C2311yescharacteristic
287C2×C3×C22⋊C4C2311yescharacteristic
288C2×C3×C22⋊C4C2311yescharacteristic
289C2×C3×C22⋊C4C2311yescharacteristic
290C2×C3×C22⋊C4C2311yescharacteristic
291C2×C3×C42C2311yescharacteristic
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#938—24no—
311#938—24no—
312#938—24no—
313#938—42no—
314#937—24no—
315#937—24no—
316#937—42no—
317#937D418yescomplemented
318#936—24no—
319D4×Dic3—24no—
320D4×Dic3—24no—
321C4×#67—24no—
322C2×(C2×D3)⋊C4C2311yescharacteristic
323C2×(C2×D3)⋊C4C2311yescharacteristic
324C2×(C2×D3)⋊C4C2311yescharacteristic
325C2×(C2×D3)⋊C4C2311yescharacteristic
326C2×(C2×D3)⋊C4C2311yescharacteristic
327C2×(C2×D3)⋊C4C2311yescharacteristic
328C2×(C2×D3)⋊C4C2311yescharacteristic
329C2×(C2×D3)⋊C4C2311yescharacteristic
330C2×(C2×D3)⋊C4C2311yescharacteristic
331C2×(C2×D3)⋊C4C2311yescharacteristic
332C2×(C2×D3)⋊C4C2311yescharacteristic
333C2×(C2×D3)⋊C4C2311yescharacteristic
334C2×(C2×D3)⋊C4C2311yescharacteristic
335C2×(C2×D3)⋊C4C2311yescharacteristic
336C2×(C2×D3)⋊C4C2311yescharacteristic
337C2×(C2×D3)⋊C4C2311yescharacteristic
338C2×(C2×D3)⋊C4C2311yescharacteristic
339C2×(C2×D3)⋊C4C2311yescharacteristic
340C2×C4⋊Dic3C2311yescharacteristic
341C2×C4⋊Dic3C2311yescharacteristic
342C2×C4⋊Dic3C2311yescharacteristic
343C2×C4⋊Dic3C2311yescharacteristic
344C2×C4⋊Dic3C2311yescharacteristic
345C2×C4⋊Dic3C2311yescharacteristic
346C2×C4⋊Dic3C2311yescharacteristic
347#924—24no—
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×C4×Dic3C2311yescharacteristic
357C2×C4×Dic3C2311yescharacteristic
358C2×C4×Dic3C2311yescharacteristic
359C2×C4×Dic3C2311yescharacteristic
360C2×C4×Dic3C2311yescharacteristic
361#897—24no—
362#897—24no—
363#893—24no—
364#892—24no—
365#884—24no—
366#883—24no—
367#883—24no—
368#883—24no—
369#883—24no—
370#883—42no—
371#67⋊C4—24no—
372#67⋊C4—24no—
373#67⋊C4—42no—
374#67⋊C4—42no—
375D3×C22⋊C4—24no—
376D3×C22⋊C4—24no—
377D3×C22⋊C4—24no—
378D3×C22⋊C4—42no—
379D3×C22⋊C4—42no—
380D3×C22⋊C4—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—
425C23×D4—31no—
426C24×C4—31no—
427#546—68no—
428C2×#124—31no—
429#525—68no—
430C2×#123—31no—
431C2×#123—31no—
432C2×#123—31no—
433C2×#123—31no—
434C2×#123—31no—
435C2×C22⋊Q8—31no—
436C2×C22⋊Q8—31no—
437C2×C22⋊Q8—31no—
438C2×#121—31no—
439C2×#121—31no—
440C2×#121—31no—
441C2×#121—31no—
442C2×#121—31no—
443C2×#121C2×D311yescharacteristic
444C2×#121C2×D311yescharacteristic, complemented
445C2×#120—31no—
446C2×#120—31no—
447C2×#120—31no—
448C2×#120—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×#117—31no—
458C22×C22⋊C4—31no—
459C22×C22⋊C4—31no—
460C22×C22⋊C4—31no—
461C22×C22⋊C4—31no—
462C22×C22⋊C4—31no—
463C22×C22⋊C4—31no—
464#400—31no—
465#400—31no—
466#400—31no—
467#400—31no—
468#398—31no—
469#398—31no—
470#398C2×D311yescharacteristic, complemented
471#397—31no—
472#397—31no—
473#397—31no—
474#397—31no—
475#397—31no—
476#397—31no—
477#397—31no—
478#396—31no—
479#396—31no—
480#395—31no—
481#394—31no—
482#394—31no—
483#394—31no—
484#394—31no—
485#394—31no—
486#394C2×D311yescharacteristic, complemented
487#394C2×D311yescharacteristic, complemented
488#394C2×D311yescharacteristic, complemented
489#393—31no—
490#393—31no—
491#393—31no—
492#392—31no—
493#392—31no—
494#392C2×D311yescharacteristic
495#392C2×D311yescharacteristic, complemented
496#391—31no—
497#391—31no—
498#391—31no—
499#391—31no—
500#390C2×D311yescharacteristic, complemented
501#389—31no—
502#388—31no—
503#388—31no—
504#388—31no—
505#388—31no—
506#388—31no—
507#388—31no—
508#388—31no—
509#388—31no—
510#388C2×D311yescharacteristic, complemented
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#386—31no—
539#386—31no—
540#386—31no—
541#386C2×D311yescharacteristic
542#386C2×D311yescharacteristic, complemented
543#385—31no—
544#385—31no—
545#385—31no—
546#385—31no—
547#385—31no—
548#385—31no—
549#385—31no—
550#382—31no—
551#381—31no—
552#381—31no—
553#381—31no—
554#381—31no—
555#381—31no—
556#381—31no—
557#381—31no—
558#381—31no—
559#381—31no—
560#381C2×D311yescharacteristic, complemented
561#381C2×D311yescharacteristic, complemented
562#380—31no—
563#380—31no—
564#380—31no—
565#380—31no—
566#380—31no—
567#379—31no—
568C4×C22⋊C4—31no—
569C4×C22⋊C4—31no—
570C4×C22⋊C4—31no—
571C4×C22⋊C4—31no—
572C4×C22⋊C4—31no—
573C2×#95—31no—
574C2×#95—31no—
575C2×#95—31no—
576C2×#95—31no—
577C2×#95—31no—
578C2×#95—31no—
579C2×#95—31no—
580C24×C3C2411yescharacteristic
581C24×C3C2411yescharacteristic
582C24×C3C2411yescharacteristic
583C24×C3C2411yescharacteristic
584C23×D3—22no—
585C23×D3—22no—
586C23×D3—22no—
587C23×D3—22no—
588C23×D3—22no—
589C23×D3—22no—
590C23×D3—22no—
591C23×D3—22no—
592C23×D3—41no—
593C23×D3—41no—
594C23×D3—41no—
595C23×D3—41no—
596C23×D3—41no—
597C23×D3C2×D414yes—
598C23×D3C2411yescharacteristic
599C23×D3C2411yescharacteristic
600C23×D3C2411yescharacteristic
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—41no—
608C2×C3×D4—41no—
609C2×C3×D4—41no—
610C2×C3×D4—41no—
611C2×C3×D4—41no—
612C2×C3×D4—41no—
613C2×C3×D4—41no—
614C2×C3×D4—41no—
615C2×C3×D4—41no—
616C2×C3×D4—41no—
617C2×C3×D4—41no—
618C2×C3×D4C2×D414yes—
619C22×C3×C4—22no—
620C22×C3×C4—22no—
621C22×C3×C4—22no—
622C22×C3×C4—22no—
623C22×C3×C4—41no—
624C22×C3×C4—41no—
625C22×C3×C4C2411yescharacteristic
626C22×C3×C4C2411yescharacteristic
627C22×C3×C4C2411yescharacteristic
628C22×C3×C4C2411yescharacteristic
629C22×C3×C4C2411yescharacteristic
630C22×C3×C4C2411yescharacteristic
631C22×C3×C4C2411yescharacteristic
632C22×C3×C4C2411yescharacteristic
633C22×C3×C4C2411yescharacteristic
634C22×C3×C4C2411yescharacteristic
635C22×C3×C4C2411yescharacteristic
636C2×#67—22no—
637C2×#67—22no—
638C2×#67—22no—
639C2×#67—22no—
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—22no—
651C2×#67—22no—
652C2×#67—22no—
653C2×#67—22no—
654C2×#67—41no—
655C2×#67—41no—
656C2×#67—41no—
657C2×#67—41no—
658C2×#67C2×D414yes—
659C2×#67C2×D414yes—
660C22×Dic3—22no—
661C22×Dic3—22no—
662C22×Dic3—22no—
663C22×Dic3—22no—
664C22×Dic3—22no—
665C22×Dic3—22no—
666C22×Dic3—41no—
667C22×Dic3—41no—
668C22×Dic3—41no—
669C22×Dic3—41no—
670C22×Dic3—41no—
671C22×Dic3—41no—
672C22×Dic3C2411yescharacteristic
673C22×Dic3C2411yescharacteristic
674C22×Dic3C2411yescharacteristic
675C22×Dic3C2411yescharacteristic
676C22×Dic3C2411yescharacteristic
677C22×Dic3C2411yescharacteristic
678C22×Dic3C2411yescharacteristic
679C22×Dic3C2411yescharacteristic
680C22×Dic3C2411yescharacteristic
681C22×Dic3C2411yescharacteristic
682C22×Dic3C2411yescharacteristic
683C22×Dic3C2411yescharacteristic
684C22×Dic3C2411yescharacteristic
685#237—416no—
686D3×D4—416no—
687#235—416no—
688C2×D12—22no—
689C2×D12—22no—
690C2×D12#4114yescomplemented
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—22no—
704C2×C4×D3—22no—
705C2×C4×D3—22no—
706C2×C4×D3—22no—
707C2×C4×D3—22no—
708C2×C4×D3—22no—
709C2×C4×D3—22no—
710C2×C4×D3—22no—
711C2×C4×D3—22no—
712C2×C4×D3—22no—
713C2×C4×D3—416no—
714C2×C4×D3—41no—
715C2×C4×D3—41no—
716C2×C4×D3—41no—
717C2×C4×D3—41no—
718C2×C4×D3—41no—
719C2×C4×D3—41no—
720C2×C4×D3—41no—
721C2×C4×D3—41no—
722C2×C4×D3—41no—
723C2×C4×D3—41no—
724C2×C4×D3—41no—
725C2×C4×D3—41no—
726C2×C4×D3—41no—
727C2×C4×D3—41no—
728C2×C4×D3—41no—
729C2×C4×D3—41no—
730C2×C4×D3#4114yescomplemented
731C2×Dic6—22no—
732C2×Dic6—22no—
733C2×Dic6—22no—
734C2×Dic6—22no—
735C2×Dic6—41no—
736C2×Dic6—41no—
737C3×C4⋊C4—22no—
738C3×C4⋊C4—22no—
739C3×C4⋊C4—41no—
740C3×C4⋊C4—41no—
741C3×C22⋊C4—22no—
742C3×C22⋊C4—22no—
743C3×C22⋊C4—22no—
744C3×C22⋊C4—22no—
745C3×C22⋊C4—22no—
746C3×C22⋊C4—22no—
747C3×C22⋊C4—41no—
748C3×C22⋊C4—41no—
749C3×C22⋊C4—41no—
750C3×C22⋊C4—41no—
751C3×C22⋊C4—41no—
752C3×C22⋊C4—41no—
753C3×C22⋊C4—41no—
754C3×C22⋊C4—41no—
755C3×C42—41no—
756#217—22no—
757#217—22no—
758#217—22no—
759#217—22no—
760#217—22no—
761#217—22no—
762#217—22no—
763#217—22no—
764#217—41no—
765#217—41no—
766#217—41no—
767#217—41no—
768#217—41no—
769#217—41no—
770#217—41no—
771#217—41no—
772#217—41no—
773#217C2×D414yes—
774(C2×D3)⋊C4—22no—
775(C2×D3)⋊C4—22no—
776(C2×D3)⋊C4—22no—
777(C2×D3)⋊C4—22no—
778(C2×D3)⋊C4—22no—
779(C2×D3)⋊C4—22no—
780(C2×D3)⋊C4—22no—
781(C2×D3)⋊C4—22no—
782(C2×D3)⋊C4—22no—
783(C2×D3)⋊C4—22no—
784(C2×D3)⋊C4—22no—
785(C2×D3)⋊C4—22no—
786(C2×D3)⋊C4—41no—
787(C2×D3)⋊C4—41no—
788(C2×D3)⋊C4—41no—
789(C2×D3)⋊C4—41no—
790(C2×D3)⋊C4C2×D414yes—
791(C2×D3)⋊C4C2×D414yes—
792C4⋊Dic3—22no—
793C4⋊Dic3—22no—
794C4⋊Dic3—22no—
795C4⋊Dic3—22no—
796C4⋊Dic3—22no—
797C4⋊Dic3—41no—
798C4⋊Dic3—41no—
799Dic3⋊C4—22no—
800Dic3⋊C4—22no—
801Dic3⋊C4—22no—
802Dic3⋊C4—22no—
803Dic3⋊C4—41no—
804Dic3⋊C4—41no—
805Dic3⋊C4—41no—
806Dic3⋊C4—41no—
807C4×Dic3—22no—
808C4×Dic3—22no—
809C4×Dic3—22no—
810C4×Dic3—41no—
811C4×Dic3—41no—
812C25—31no—
813C25—31no—
814C2×#41—64no—
815C2×#41—64no—
816C2×#41—64no—
817C2×#41—64no—
818C2×#41—122no—
819C2×#41—122no—
820C22×Q8—31no—
821C22×Q8—31no—
822C22×D4—31no—
823C22×D4—31no—
824C22×D4—31no—
825C22×D4—31no—
826C22×D4—31no—
827C22×D4—31no—
828C22×D4—31no—
829C22×D4—31no—
830C22×D4—31no—
831C22×D4—64no—
832C22×D4—64no—
833C22×D4—122no—
834C22×D4C22×D311yescharacteristic
835C22×D4C22×D311yescharacteristic
836C22×D4C22×D311yescharacteristic
837C22×D4C22×D311yescharacteristic
838C22×D4C22×D311yescharacteristic
839C22×D4C22×D311yescharacteristic
840C23×C4—31no—
841C23×C4—31no—
842C23×C4—31no—
843C23×C4—31no—
844C23×C4—31no—
845C23×C4—31no—
846C23×C4—31no—
847C23×C4—31no—
848C23×C4—31no—
849C23×C4—31no—
850C23×C4—31no—
851C23×C4—31no—
852C23×C4—31no—
853C23×C4—31no—
854C23×C4—31no—
855C23×C4—31no—
856C23×C4—31no—
857C23×C4—64no—
858C23×C4—64no—
859C23×C4—122no—
860C23×C4C22×D311yescharacteristic
861C23×C4C22×D311yescharacteristic
862#124—64no—
863#123—64no—
864#123—64no—
865#123—64no—
866#123—64no—
867#123—122no—
868C22⋊Q8—64no—
869C22⋊Q8—64no—
870C22⋊Q8—64no—
871#121—24no—
872#121—24no—
873#121—64no—
874#121—64no—
875#121—64no—
876#121—64no—
877#121—122no—
878#120—38no—
879#120—64no—
880#120—64no—
881#120—122no—
882C4×D4—64no—
883C4×D4—64no—
884C4×D4—64no—
885C4×D4—64no—
886C4×D4—64no—
887C4×D4—64no—
888C4×D4—122no—
889C4×D4—122no—
890#117—64no—
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⋊C4C22×D311yescharacteristic
907C2×C4⋊C4C22×D311yescharacteristic
908C2×C4⋊C4C22×D311yescharacteristic
909C2×C4⋊C4C22×D311yescharacteristic
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—31no—
944C2×C22⋊C4—31no—
945C2×C22⋊C4—31no—
946C2×C22⋊C4—64no—
947C2×C22⋊C4—64no—
948C2×C22⋊C4—64no—
949C2×C22⋊C4—122no—
950C2×C22⋊C4—122no—
951C2×C22⋊C4—122no—
952C2×C22⋊C4C22×D311yescharacteristic
953C2×C22⋊C4C22×D311yescharacteristic
954C2×C22⋊C4C22×D311yescharacteristic
955C2×C22⋊C4C22×D311yescharacteristic
956C2×C22⋊C4C22×D311yescharacteristic
957C2×C22⋊C4C22×D311yescharacteristic
958C2×C22⋊C4C22×D311yescharacteristic
959C2×C22⋊C4C22×D311yescharacteristic
960C2×C22⋊C4C22×D311yescharacteristic
961C2×C22⋊C4C22×D311yescharacteristic
962C2×C22⋊C4C22×D311yescharacteristic
963C2×C22⋊C4C22×D311yescharacteristic
964C2×C22⋊C4C22×D311yescharacteristic
965C2×C22⋊C4C22×D311yescharacteristic
966C2×C42—31no—
967C2×C42—31no—
968C2×C42—31no—
969C2×C42—31no—
970C2×C42—31no—
971C2×C42C22×D311yescharacteristic
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#95—31no—
997#95—31no—
998#95—31no—
999#95—31no—
1000#95—31no—
1001#95—31no—
1002#95—31no—
1003#95—31no—
1004#95—31no—
1005#95—31no—
1006#95C22×D311yescharacteristic
1007#95C22×D311yescharacteristic
1008#95C22×D311yescharacteristic
1009#95C22×D311yescharacteristic
1010#95C22×D311yescharacteristic
1011#95C22×D311yescharacteristic
1012#95C22×D311yescharacteristic
1013#95C22×D311yescharacteristic
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—21no—
1034C23×C3—21no—
1035C23×C3—21no—
1036C23×C3—21no—
1037C23×C3—21no—
1038C23×C3—21no—
1039C23×C3—21no—
1040C23×C3C22×D412yes—
1041C23×C3C22×D412yes—
1042C23×C3C2511yescharacteristic
1043C22×D3—21no—
1044C22×D3—21no—
1045C22×D3—21no—
1046C22×D3—21no—
1047C22×D3—21no—
1048C22×D3—21no—
1049C22×D3—21no—
1050C22×D3—21no—
1051C22×D3—21no—
1052C22×D3—21no—
1053C22×D3—21no—
1054C22×D3—21no—
1055C22×D3—21no—
1056C22×D3—21no—
1057C22×D3—28no—
1058C22×D3—28no—
1059C22×D3—44no—
1060C22×D3—44no—
1061C22×D3—44no—
1062C22×D3—44no—
1063C22×D3—44no—
1064C22×D3—44no—
1065C22×D3—44no—
1066C22×D3—44no—
1067C22×D3—44no—
1068C22×D3—82no—
1069C22×D3—82no—
1070C22×D3—82no—
1071C22×D3C22×D412yes—
1072C22×D3C22×D412yes—
1073C22×D3C2×#4112yes—
1074C22×D3C2×#4112yes—
1075C22×D3C2×#4112yes—
1076C22×D3H(5,𝔽2)12yes—
1077C22×D3H(5,𝔽2)12yes—
1078C3×D4—44no—
1079C3×D4—44no—
1080C3×D4—44no—
1081C3×D4—44no—
1082C3×D4—82no—
1083C3×D4—82no—
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—21no—
1093C2×C3×C4—21no—
1094C2×C3×C4—21no—
1095C2×C3×C4—21no—
1096C2×C3×C4—21no—
1097C2×C3×C4—21no—
1098C2×C3×C4—21no—
1099C2×C3×C4—21no—
1100C2×C3×C4—21no—
1101C2×C3×C4—21no—
1102C2×C3×C4—21no—
1103C2×C3×C4—21no—
1104C2×C3×C4—21no—
1105C2×C3×C4—21no—
1106C2×C3×C4—21no—
1107C2×C3×C4—21no—
1108C2×C3×C4—21no—
1109C2×C3×C4—21no—
1110C2×C3×C4—21no—
1111C2×C3×C4—21no—
1112C2×C3×C4—21no—
1113C2×C3×C4—21no—
1114C2×C3×C4—44no—
1115C2×C3×C4—44no—
1116C2×C3×C4C22×D412yes—
1117C2×C3×C4C2×#4112yes—
1118C2×C3×C4C2×#4112yes—
1119#67—28no—
1120#67—28no—
1121#67—44no—
1122#67—44no—
1123#67—44no—
1124#67—44no—
1125#67—44no—
1126#67—82no—
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—21no—
1143C2×Dic3—21no—
1144C2×Dic3—21no—
1145C2×Dic3—21no—
1146C2×Dic3—21no—
1147C2×Dic3—21no—
1148C2×Dic3—21no—
1149C2×Dic3—21no—
1150C2×Dic3—21no—
1151C2×Dic3—21no—
1152C2×Dic3—21no—
1153C2×Dic3—21no—
1154C2×Dic3—21no—
1155C2×Dic3—21no—
1156C2×Dic3—21no—
1157C2×Dic3—21no—
1158C2×Dic3—21no—
1159C2×Dic3—21no—
1160C2×Dic3—21no—
1161C2×Dic3—21no—
1162C2×Dic3—21no—
1163C2×Dic3—44no—
1164C2×Dic3—44no—
1165C2×Dic3—44no—
1166C2×Dic3—82no—
1167C2×Dic3C22×D412yes—
1168C2×Dic3C22×D412yes—
1169C2×Dic3C2×#4112yes—
1170D12—28no—
1171C4×D3—28no—
1172C4×D3—44no—
1173C4×D3—44no—
1174C4×D3—44no—
1175C4×D3—44no—
1176C4×D3—44no—
1177C4×D3—44no—
1178C4×D3—82no—
1179C4×D3—82no—
1180C4×D3—82no—
1181C4×D3—82no—
1182C4×D3—82no—
1183C4×D3—82no—
1184Dic6—44no—
1185Dic6—44no—
1186C24—31no—
1187C24—31no—
1188C24—31no—
1189C24—34no—
1190C24—62no—
1191C24—62no—
1192C24—62no—
1193C24—62no—
1194C24—62no—
1195C24—62no—
1196C24—62no—
1197C24—62no—
1198C24—121no—
1199C24—121no—
1200C24—121no—
1201C24—121no—
1202C24—121no—
1203C24C23×D311yescharacteristic
1204C24C23×D311yescharacteristic
1205C24C23×D311yescharacteristic
1206C24C23×D311yescharacteristic
1207#41—1216no—
1208#41—1216no—
1209C2×Q8—62no—
1210C2×Q8—62no—
1211C2×Q8—62no—
1212C2×Q8—62no—
1213C2×Q8—121no—
1214C2×Q8—121no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—22no—
1218C2×D4—22no—
1219C2×D4—22no—
1220C2×D4—22no—
1221C2×D4—34no—
1222C2×D4—34no—
1223C2×D4—34no—
1224C2×D4—41no—
1225C2×D4—41no—
1226C2×D4—41no—
1227C2×D4—41no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—41no—
1231C2×D4—41no—
1232C2×D4—41no—
1233C2×D4—41no—
1234C2×D4—41no—
1235C2×D4—62no—
1236C2×D4—62no—
1237C2×D4—62no—
1238C2×D4—62no—
1239C2×D4—62no—
1240C2×D4—62no—
1241C2×D4—62no—
1242C2×D4—62no—
1243C2×D4—62no—
1244C2×D4—62no—
1245C2×D4—62no—
1246C2×D4—62no—
1247C2×D4—62no—
1248C2×D4—62no—
1249C2×D4—62no—
1250C2×D4—62no—
1251C2×D4—62no—
1252C2×D4—62no—
1253C2×D4—62no—
1254C2×D4—62no—
1255C2×D4—121no—
1256C2×D4—121no—
1257C2×D4—121no—
1258C2×D4—121no—
1259C2×D4—1216no—
1260C2×D4D3×D414yes—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—31no—
1266C22×C4—31no—
1267C22×C4—31no—
1268C22×C4—34no—
1269C22×C4—31no—
1270C22×C4—31no—
1271C22×C4—31no—
1272C22×C4—31no—
1273C22×C4—31no—
1274C22×C4—31no—
1275C22×C4—31no—
1276C22×C4—31no—
1277C22×C4—31no—
1278C22×C4—31no—
1279C22×C4—41no—
1280C22×C4—41no—
1281C22×C4—62no—
1282C22×C4—62no—
1283C22×C4—62no—
1284C22×C4—62no—
1285C22×C4—62no—
1286C22×C4—62no—
1287C22×C4—62no—
1288C22×C4—62no—
1289C22×C4—62no—
1290C22×C4—62no—
1291C22×C4—62no—
1292C22×C4—62no—
1293C22×C4—62no—
1294C22×C4—62no—
1295C22×C4—62no—
1296C22×C4—62no—
1297C22×C4—62no—
1298C22×C4—62no—
1299C22×C4—62no—
1300C22×C4—62no—
1301C22×C4—62no—
1302C22×C4—62no—
1303C22×C4—62no—
1304C22×C4—62no—
1305C22×C4—62no—
1306C22×C4—62no—
1307C22×C4—62no—
1308C22×C4—62no—
1309C22×C4—121no—
1310C22×C4—121no—
1311C22×C4—121no—
1312C22×C4—121no—
1313C22×C4—121no—
1314C22×C4—121no—
1315C22×C4—121no—
1316C22×C4—121no—
1317C22×C4—121no—
1318C22×C4—121no—
1319C22×C4—121no—
1320C22×C4—121no—
1321C22×C4—121no—
1322C22×C4—121no—
1323C22×C4—121no—
1324C22×C4—121no—
1325C22×C4—1216no—
1326C22×C4—121no—
1327C22×C4—121no—
1328C22×C4—121no—
1329C22×C4—121no—
1330C22×C4—121no—
1331C22×C4—121no—
1332C22×C4C23×D311yescharacteristic
1333C22×C4C23×D311yescharacteristic
1334C22×C4C23×D311yescharacteristic
1335C22×C4C23×D311yescharacteristic
1336C22×C4C23×D311yescharacteristic
1337C22×C4C23×D311yescharacteristic
1338C22×C4C23×D311yescharacteristic
1339C22×C4C23×D311yescharacteristic
1340C22×C4C23×D311yescharacteristic
1341C22×C4C23×D311yescharacteristic
1342C22×C4C23×D311yescharacteristic
1343C4⋊C4—22no—
1344C4⋊C4—22no—
1345C4⋊C4—41no—
1346C4⋊C4—41no—
1347C4⋊C4—62no—
1348C4⋊C4—62no—
1349C4⋊C4—62no—
1350C4⋊C4—62no—
1351C4⋊C4—62no—
1352C4⋊C4—62no—
1353C4⋊C4—62no—
1354C4⋊C4—62no—
1355C4⋊C4—62no—
1356C4⋊C4—121no—
1357C4⋊C4—121no—
1358C4⋊C4—121no—
1359C4⋊C4—121no—
1360C4⋊C4—121no—
1361C4⋊C4—121no—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—22no—
1365C22⋊C4—22no—
1366C22⋊C4—22no—
1367C22⋊C4—22no—
1368C22⋊C4—34no—
1369C22⋊C4—34no—
1370C22⋊C4—34no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—41no—
1374C22⋊C4—41no—
1375C22⋊C4—41no—
1376C22⋊C4—41no—
1377C22⋊C4—41no—
1378C22⋊C4—41no—
1379C22⋊C4—62no—
1380C22⋊C4—62no—
1381C22⋊C4—62no—
1382C22⋊C4—62no—
1383C22⋊C4—62no—
1384C22⋊C4—62no—
1385C22⋊C4—62no—
1386C22⋊C4—62no—
1387C22⋊C4—62no—
1388C22⋊C4—62no—
1389C22⋊C4—62no—
1390C22⋊C4—62no—
1391C22⋊C4—62no—
1392C22⋊C4—62no—
1393C22⋊C4—62no—
1394C22⋊C4—62no—
1395C22⋊C4—62no—
1396C22⋊C4—62no—
1397C22⋊C4—62no—
1398C22⋊C4—62no—
1399C22⋊C4—121no—
1400C22⋊C4—121no—
1401C22⋊C4—121no—
1402C22⋊C4—121no—
1403C22⋊C4—121no—
1404C22⋊C4—121no—
1405C22⋊C4—121no—
1406C22⋊C4—121no—
1407C22⋊C4—121no—
1408C22⋊C4—121no—
1409C22⋊C4—121no—
1410C22⋊C4—121no—
1411C22⋊C4—121no—
1412C42—41no—
1413C42—62no—
1414C42—62no—
1415C42—62no—
1416C42—121no—
1417C42—121no—
1418C22×C3—22no—
1419C22×C3—22no—
1420C22×C3—22no—
1421C22×C3—22no—
1422C22×C3—22no—
1423C22×C3—22no—
1424C22×C3—41no—
1425C22×C3—41no—
1426C22×C3—41no—
1427C22×C3—41no—
1428C22×C3—41no—
1429C22×C3—41no—
1430C22×C3—41no—
1431C22×C3—41no—
1432C22×C3—41no—
1433C22×C3—41no—
1434C22×C3—41no—
1435C22×C3—41no—
1436C22×C3—41no—
1437C22×C3—41no—
1438C22×C3—41no—
1439C22×C3—41no—
1440C22×C3—41no—
1441C22×C3—41no—
1442C22×C3—41no—
1443C22×C3—41no—
1444C22×C3—41no—
1445C22×C3—41no—
1446C22×C3C23×D411yescharacteristic
1447C22×C3C22×#4111yescharacteristic
1448C22×C3C22×#4111yescharacteristic
1449C22×C3C2×H(5,𝔽2)11yescharacteristic
1450C22×C3C2×H(5,𝔽2)11yescharacteristic
1451C22×C3#58511yescharacteristic
1452C22×C3#58511yescharacteristic
1453C2×D3—22no—
1454C2×D3—22no—
1455C2×D3—22no—
1456C2×D3—22no—
1457C2×D3—22no—
1458C2×D3—22no—
1459C2×D3—22no—
1460C2×D3—22no—
1461C2×D3—22no—
1462C2×D3—22no—
1463C2×D3—22no—
1464C2×D3—22no—
1465C2×D3—22no—
1466C2×D3—22no—
1467C2×D3—22no—
1468C2×D3—416no—
1469C2×D3—41no—
1470C2×D3—41no—
1471C2×D3—41no—
1472C2×D3—41no—
1473C2×D3—88no—
1474C2×D3#54614yes—
1475C2×D3#54614yes—
1476C3×C4—22no—
1477C3×C4—22no—
1478C3×C4—22no—
1479C3×C4—41no—
1480C3×C4—41no—
1481C3×C4—41no—
1482C3×C4—41no—
1483C3×C4—41no—
1484C3×C4—41no—
1485C3×C4—41no—
1486C3×C4—41no—
1487Dic3—22no—
1488Dic3—22no—
1489Dic3—22no—
1490Dic3—41no—
1491Dic3—41no—
1492Dic3—41no—
1493Dic3—41no—
1494Dic3—41no—
1495Dic3—41no—
1496Dic3—41no—
1497Dic3—41no—
1498Dic3—41no—
1499Dic3—41no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—32no—
1527C23—32no—
1528C23—32no—
1529C23—32no—
1530C23—32no—
1531C23—32no—
1532C23—32no—
1533C23—68no—
1534C23—68no—
1535C23—61no—
1536C23—61no—
1537C23—61no—
1538C23—61no—
1539C23—61no—
1540C23—61no—
1541C23—61no—
1542C23—61no—
1543C23—61no—
1544C23—61no—
1545C23—61no—
1546C23—61no—
1547C23—61no—
1548C23—61no—
1549C23—124no—
1550C23—124no—
1551C23—124no—
1552C23—124no—
1553C23—124no—
1554C23—124no—
1555C23—124no—
1556C23—124no—
1557C23—124no—
1558C23—242no—
1559C23—242no—
1560C23—242no—
1561C23C2×D3×D412yes—
1562C23C2×D3×D412yes—
1563C23C24×D311yescharacteristic
1564Q8—124no—
1565Q8—124no—
1566D4—44no—
1567D4—44no—
1568D4—44no—
1569D4—44no—
1570D4—68no—
1571D4—68no—
1572D4—68no—
1573D4—82no—
1574D4—82no—
1575D4—124no—
1576D4—124no—
1577D4—124no—
1578D4—124no—
1579D4—124no—
1580D4—242no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—32no—
1612C2×C4—32no—
1613C2×C4—32no—
1614C2×C4—44no—
1615C2×C4—44no—
1616C2×C4—68no—
1617C2×C4—61no—
1618C2×C4—61no—
1619C2×C4—61no—
1620C2×C4—61no—
1621C2×C4—61no—
1622C2×C4—61no—
1623C2×C4—61no—
1624C2×C4—61no—
1625C2×C4—61no—
1626C2×C4—61no—
1627C2×C4—61no—
1628C2×C4—61no—
1629C2×C4—61no—
1630C2×C4—61no—
1631C2×C4—61no—
1632C2×C4—61no—
1633C2×C4—61no—
1634C2×C4—61no—
1635C2×C4—61no—
1636C2×C4—61no—
1637C2×C4—61no—
1638C2×C4—61no—
1639C2×C4—61no—
1640C2×C4—61no—
1641C2×C4—61no—
1642C2×C4—61no—
1643C2×C4—61no—
1644C2×C4—61no—
1645C2×C4—61no—
1646C2×C4—61no—
1647C2×C4—61no—
1648C2×C4—61no—
1649C2×C4—61no—
1650C2×C4—61no—
1651C2×C4—61no—
1652C2×C4—61no—
1653C2×C4—124no—
1654C2×C4—124no—
1655C2×C4—124no—
1656C2×C4—124no—
1657C2×C4—124no—
1658C2×C4—124no—
1659C2×C4—124no—
1660C2×C4—124no—
1661C2×C4—124no—
1662C2×C4—242no—
1663C2×C4—242no—
1664C2×C4—242no—
1665C2×C4—242no—
1666C2×C4—242no—
1667C2×C4—242no—
1668C2×C4—242no—
1669C2×C4C2×D3×D412yes—
1670C2×C4D3×#4112yes—
1671C2×C4D3×#4112yes—
1672C2×C3—42no—
1673C2×C3—42no—
1674C2×C3—81no—
1675C2×C3—81no—
1676C2×C3C2×#54611yescharacteristic
1677C2×C3C2×#54611yescharacteristic
1678C2×C3#347511yescharacteristic
1679C2×C3#348511yescharacteristic
1680C2×C3#349411yescharacteristic
1681C2×C3#351311yescharacteristic
1682C2×C3#353411yescharacteristic
1683D3—24no—
1684D3—24no—
1685D3—42no—
1686C22—22no—
1687C22—22no—
1688C22—22no—
1689C22—22no—
1690C22—22no—
1691C22—22no—
1692C22—34no—
1693C22—34no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—62no—
1717C22—62no—
1718C22—62no—
1719C22—62no—
1720C22—62no—
1721C22—62no—
1722C22—62no—
1723C22—62no—
1724C22—62no—
1725C22—62no—
1726C22—62no—
1727C22—62no—
1728C22—62no—
1729C22—62no—
1730C22—62no—
1731C22—1216no—
1732C22—121no—
1733C22—121no—
1734C22—121no—
1735C22—121no—
1736C22—248no—
1737C22C22×D3×D411yescharacteristic
1738C22C2×D3×#4111yescharacteristic
1739C22C2×D3×#4111yescharacteristic
1740C22D3×H(5,𝔽2)11yescharacteristic
1741C22D3×H(5,𝔽2)11yescharacteristic
1742C22#596611yescharacteristic
1743C22#596611yescharacteristic
1744C4—22no—
1745C4—22no—
1746C4—22no—
1747C4—41no—
1748C4—41no—
1749C4—41no—
1750C4—41no—
1751C4—41no—
1752C4—41no—
1753C4—41no—
1754C4—41no—
1755C4—62no—
1756C4—62no—
1757C4—62no—
1758C4—121no—
1759C4—121no—
1760C4—121no—
1761C4—121no—
1762C4—121no—
1763C4—121no—
1764C4—121no—
1765C4—121no—
1766C4—121no—
1767C4—121no—
1768C3#5900911yescharacteristic, complemented, Sylow
1769C2—42no—
1770C2—42no—
1771C2—64no—
1772C2—64no—
1773C2—81no—
1774C2—81no—
1775C2—122no—
1776C2#8629611yescharacteristic
1777C2#8648511yescharacteristic
1778C2#8648711yescharacteristic
1779C2D3×#54611yescharacteristic
1780C2D3×#54611yescharacteristic
1781C2#8695811yescharacteristic
1782C2#8708211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2699C2
hypercenter#2699D3
hypocenterC3#59009
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2699

Complements

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

NH ≅ G/Ntype
1. C2×#5612C2semidirect
2. C2×#5606C2semidirect
3. C3×#2699C2semidirect
4. #82688C2semidirect
5. #82656C2semidirect
6. #77953C2semidirect
7. #77949C2semidirect
8. #77119C2semidirect
9. #77118C2semidirect
10. #77115C2semidirect
11. #77110C2semidirect
12. #77110C2semidirect
13. #76909C2semidirect
14. #76759C2semidirect
15. #76755C2semidirect
16. #76754C2semidirect
17. #76679C2semidirect
18. #76440C2semidirect
19. #76432C2semidirect
20. #75868C2semidirect
21. #75868C2semidirect
22. #75839C2semidirect
23. #75833C2semidirect
24. #74896C2semidirect
25. D3×#386C2semidirect
26. #74811C2semidirect
27. #74672C2semidirect
28. #74127C2semidirect
29. #74121C2semidirect
30. D3×#381C2semidirect
31. #74094C2semidirect
38. C2×C3×#121C22semidirect
42. C2×#938C22semidirect
48. C2×D4×Dic3C22semidirect
49. C2×D4×Dic3C22semidirect
51. C2×#924C22semidirect
55. C2×#897C22semidirect
63. C2×#883C22semidirect
65. C2×#67⋊C4C22semidirect
66. C2×#67⋊C4C22semidirect
67. C2×#67⋊C4C22semidirect
74. C3×#398C22semidirect
75. C3×#394C22semidirect
76. C3×#394C22semidirect
77. C3×#394C22semidirect
79. C3×#392C22semidirect
80. C3×#390C22semidirect
81. C3×#388C22semidirect
82. C3×#388C22semidirect
84. C3×#386C22semidirect
85. C3×#381C22semidirect
86. C3×#381C22semidirect
88. #5223C22semidirect
90. #5222C22semidirect
91. #5222C22semidirect
93. #5220C22semidirect
94. #5220C22semidirect
95. #5220C22semidirect
96. #5220C22semidirect
97. #5220C22semidirect
99. #5211C22semidirect
100. #5210C22semidirect
101. C2×C3⋊#95C22semidirect
102. #4994C22semidirect
104. #4989C22semidirect
105. #4989C22semidirect
106. #4989C22semidirect
108. #4987C22semidirect
109. #4986C22semidirect
110. #4986C22semidirect
111. #4984C22semidirect
112. #4980C22semidirect
113. #4978C22semidirect
115. #4961C22semidirect
117. #4958C22semidirect
118. #4958C22semidirect
119. #4958C22semidirect
127. #4956C22semidirect
128. #4956C22semidirect
129. #4956C22semidirect
130. #4956C22semidirect
132. #4953C22semidirect
133. #4953C22semidirect
134. #4953C22semidirect
135. #4953C22semidirect
136. #4952C22semidirect
137. #4952C22semidirect
138. #4952C22semidirect
139. #4951C22semidirect
140. #4951C22semidirect
141. #4951C22semidirect
142. #4948C22semidirect
143. #4947C22semidirect
144. #4947C22semidirect
145. #4945C22semidirect
146. #4944C22semidirect
147. #4944C22semidirect
148. #4944C22semidirect
149. #4943C22semidirect
150. #4943C22semidirect
151. #4943C22semidirect
152. #4942C22semidirect
153. Dic3×C22⋊C4C22semidirect
155. C4×(C2×D3)⋊C4C22semidirect
156. C4×(C2×D3)⋊C4C22semidirect
157. #4936C22semidirect
158. #4673C22semidirect
159. #4669C22semidirect
161. #4668C22semidirect
163. #4667C22semidirect
164. #4666C22semidirect
172. #4664C22semidirect
175. D3×#95C22semidirect
176. D3×#95C22semidirect
177. D3×#95C22semidirect
178. D3×#95C22semidirect
179. #4661C22semidirect
180. #4660C22semidirect
181. #4660C22semidirect
182. #4657C22semidirect
183. #4656C22semidirect
184. #4655C22semidirect
185. #4652C22semidirect
186. #4646C22semidirect
187. #4646C22semidirect
188. #4646C22semidirect
189. #4646C22semidirect
193. #2699D3semidirect
317. #937D4semidirect
444. C2×#121C2×D3semidirect
470. #398C2×D3semidirect
486. #394C2×D3semidirect
487. #394C2×D3semidirect
488. #394C2×D3semidirect
495. #392C2×D3semidirect
500. #390C2×D3semidirect
510. #388C2×D3semidirect
511. #388C2×D3semidirect
542. #386C2×D3semidirect
560. #381C2×D3semidirect
561. #381C2×D3semidirect
690. C2×D12#41semidirect
730. C2×C4×D3#41semidirect
1768. C3#59009semidirect

Maximal subgroups

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

subgroupindex
C2×#56122
C2×#56062
C3×#26992
#826882
#826562
#779532
#779492
#771192
#771182
#771152
#771102
#769092
#767592
#767552
#767542
#766792
#764402
#764322
#758682
#758392
#758332
#748962
D3×#3862
#748112
#746722
#741272
#741212
D3×#3812
#740942
#590093