Finite Group Databasebeta

← #11635591

Subgroups — #11635591

Order 768.

2102 conjugacy classes of subgroups.

The subgroup lattice has 1428 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5671C211yesmaximal, characteristic
2C2×#5622C211yesmaximal, characteristic, complemented
3C3×#2674C211yesmaximal, characteristic
4#83242C211yesmaximal, characteristic, complemented
5#83229C211yesmaximal, characteristic, complemented
6#82966C211yesmaximal, characteristic
7#82870C211yesmaximal, characteristic
8Dic3×#123C211yesmaximal, characteristic
9#82799C211yesmaximal, characteristic, complemented
10#78033C211yesmaximal, characteristic, complemented
11#78020C211yesmaximal, characteristic, complemented
12#77491C211yesmaximal, characteristic, complemented
13#77478C211yesmaximal, characteristic, complemented
14#77298C211yesmaximal, characteristic, complemented
15#77287C211yesmaximal, characteristic, complemented
16#77177C211yesmaximal, characteristic, complemented
17#77175C211yesmaximal, characteristic, complemented
18#76927C211yesmaximal, characteristic
19#76897C211yesmaximal, characteristic
20#76789C211yesmaximal, characteristic, complemented
21#76782C211yesmaximal, characteristic, complemented
22#76018C211yesmaximal, characteristic, complemented
23#75982C211yesmaximal, characteristic, complemented
24#75564C211yesmaximal, characteristic, complemented
25#75535C211yesmaximal, characteristic, complemented
26#75478C211yesmaximal, characteristic, complemented
27#75478C211yesmaximal, characteristic, complemented
28#74986C211yesmaximal, characteristic, complemented
29#74967C211yesmaximal, characteristic, complemented
30#74521C211yesmaximal, characteristic, complemented
31#74378C211yesmaximal, characteristic, complemented
32#59114—31nomaximal, Sylow
33C2×C3×C4⋊Q8C2211yescharacteristic
34C2×C3×#124C2211yescharacteristic
35C2×C3×#123C2211yescharacteristic
36C2×C3×C22⋊Q8C2211yescharacteristic
37C2×Q8×Dic3C2211yescharacteristic
38C2×Q8×Dic3C2211yescharacteristic
39C2×#944C2211yescharacteristic
40C2×#944C2211yescharacteristic
41C2×#936C2211yescharacteristic
42C2×D4×Dic3C2211yescharacteristic
43C2×#924C2211yescharacteristic
44C22×C4×Dic3C2211yescharacteristic
45#5671—28no—
46#5622—28no—
47C2×#889C2211yescharacteristic
48C2×#889C2211yescharacteristic
49C2×#888C2211yescharacteristic
50C2×#888C2211yescharacteristic
51C2×#887C2211yescharacteristic
52C2×#887C2211yescharacteristic
53C2×#887C2211yescharacteristic
54C2×#887C2211yescharacteristic
55C2×#879C2211yescharacteristic
56C2×#879C2211yescharacteristic
57C2×#879C2211yescharacteristic
58C2×#879C2211yescharacteristic
59C2×#878C2211yescharacteristic
60C2×#878C2211yescharacteristic
61C2×#878C2211yescharacteristic
62C2×#878C2211yescharacteristic
63C2×#877C2211yescharacteristic
64C2×#877C2211yescharacteristic
65C2×#877C2211yescharacteristic
66C2×#877C2211yescharacteristic
67C2×#877C2211yescharacteristic
68C2×C4×Dic6C2211yescharacteristic
69C2×C4×Dic6C2211yescharacteristic
70C3×#399C2211yescharacteristic
71C3×#397C2211yescharacteristic
72C3×#396C2211yescharacteristic
73C3×#395C2211yescharacteristic
74C3×#394C2211yescharacteristic
75C3×#393C2211yescharacteristic
76C3×#389C2211yescharacteristic
77C3×#388C2211yescharacteristic
78C3×#388C2211yescharacteristic
79C3×#387C2211yescharacteristic
80C3×#385C2211yescharacteristic
81#5230C2211yescharacteristic
82#5230C2211yescharacteristic
83#5229C2211yescharacteristic
84#5229C2211yescharacteristic
85#5222C2211yescharacteristic
86#5220C2211yescharacteristic
87#5211C2211yescharacteristic
88#5210C2211yescharacteristic
89#4986C2211yescharacteristic
90#4984C2211yescharacteristic
91#4984C2211yescharacteristic
92#4984C2211yescharacteristic
93#4983C2211yescharacteristic
94#4983C2211yescharacteristic
95#4982C2211yescharacteristic
96#4982C2211yescharacteristic
97#4981C2211yescharacteristic
98#4980C2211yescharacteristic
99#4980C2211yescharacteristic
100#4980C2211yescharacteristic
101#4980C2211yescharacteristic
102#4980C2211yescharacteristic
103#4979C2211yescharacteristic
104#4979C2211yescharacteristic
105#4979C2211yescharacteristic
106#4978C2211yescharacteristic
107#4978C2211yescharacteristic
108#4977C2211yescharacteristic
109#4976C2211yescharacteristic
110#4976C2211yescharacteristic
111#4976C2211yescharacteristic
112#4976C2211yescharacteristic
113#4976C2211yescharacteristic
114#4975C2211yescharacteristic
115Dic3×C4⋊C4C2211yescharacteristic
116Dic3×C4⋊C4C2211yescharacteristic
117Dic3×C4⋊C4C2211yescharacteristic
118Dic3×C4⋊C4C2211yescharacteristic
119Dic3×C4⋊C4C2211yescharacteristic
120#4972C2211yescharacteristic
121#4953C2211yescharacteristic
122#4953C2211yescharacteristic
123#4952C2211yescharacteristic
124#4952C2211yescharacteristic
125#4952C2211yescharacteristic
126#4951C2211yescharacteristic
127#4951C2211yescharacteristic
128#4951C2211yescharacteristic
129#4951C2211yescharacteristic
130#4951C2211yescharacteristic
131#4950C2211yescharacteristic
132#4950C2211yescharacteristic
133#4949C2211yescharacteristic
134#4948C2211yescharacteristic
135#4948C2211yescharacteristic
136#4948C2211yescharacteristic
137#4947C2211yescharacteristic
138#4946C2211yescharacteristic
139#4945C2211yescharacteristic
140#4945C2211yescharacteristic
141#4944C2211yescharacteristic
142#4944C2211yescharacteristic
143#4944C2211yescharacteristic
144#4944C2211yescharacteristic
145#4944C2211yescharacteristic
146#4944C2211yescharacteristic
147#4944C2211yescharacteristic
148#4942C2211yescharacteristic
149Dic3×C22⋊C4C2211yescharacteristic
150Dic3×C22⋊C4C2211yescharacteristic
151Dic3×C22⋊C4C2211yescharacteristic
152C4×C4⋊Dic3C2211yescharacteristic
153C4×C4⋊Dic3C2211yescharacteristic
154#4933C2211yescharacteristic
155C4×Dic3⋊C4C2211yescharacteristic
156C4×Dic3⋊C4C2211yescharacteristic
157#4928C2211yescharacteristic
158#4661C2211yescharacteristic
159#4660C2211yescharacteristic
160#4657C2211yescharacteristic
161#4657C2211yescharacteristic
162#4655C2211yescharacteristic
163#4654C2211yescharacteristic
164#4654C2211yescharacteristic
165#4654C2211yescharacteristic
166#4654C2211yescharacteristic
167#4654C2211yescharacteristic
168#4653C2211yescharacteristic
169#4653C2211yescharacteristic
170#4653C2211yescharacteristic
171#4652C2211yescharacteristic
172#4652C2211yescharacteristic
173#4650C2211yescharacteristic
174#4650C2211yescharacteristic
175#4649C2211yescharacteristic
176#4649C2211yescharacteristic
177#4649C2211yescharacteristic
178#4649C2211yescharacteristic
179#4647C2211yescharacteristic
180#4647C2211yescharacteristic
181#4647C2211yescharacteristic
182#4647C2211yescharacteristic
183#4647C2211yescharacteristic
184#4646C2211yescharacteristic
185#4646C2211yescharacteristic
186#4646C2211yescharacteristic
187#4646C2211yescharacteristic
188#4646C2211yescharacteristic
189#4646C2211yescharacteristic
190C2×#556—31no—
191C2×#533—31no—
192#2698—31no—
193#2698—31no—
194#2674—31no—
195#2674D311yescharacteristic
196#2551—31no—
197#2519—31no—
198#2519—31no—
199#2499—31no—
200#2478—31no—
201#2478—31no—
202#2474—31no—
203#2474—31no—
204#2469—31no—
205#2469—31no—
206#2462—31no—
207#2462—31no—
208#2451—31no—
209#2446—31no—
210#2439—31no—
211#2429—31no—
212#2423—31no—
213#2415—31no—
214#2365—31no—
215#2365—31no—
216#2362—31no—
217#2362—31no—
218#2351—31no—
219C4×#123—31no—
220#2296—31no—
221C22×C3×Q8C2311yescharacteristic
222C22×C3×Q8C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C23×C3×C4C2311yescharacteristic
225C23×Dic3C2311yescharacteristic
226C23×Dic3C2311yescharacteristic
227C23×Dic3C2311yescharacteristic
228C22×Dic6C2311yescharacteristic
229C22×Dic6C2311yescharacteristic
230C22×Dic6C2311yescharacteristic
231C22×Dic6C2311yescharacteristic
232C3×C4⋊Q8—24no—
233C3×#124—24no—
234C3×#123—24no—
235C3×C22⋊Q8—24no—
236C2×C3×C4⋊C4C2311yescharacteristic
237C2×C3×C4⋊C4C2311yescharacteristic
238C2×C3×C4⋊C4C2311yescharacteristic
239C2×C3×C4⋊C4C2311yescharacteristic
240C2×C3×C4⋊C4C2311yescharacteristic
241C2×C3×C4⋊C4C2311yescharacteristic
242C2×C3×C4⋊C4C2311yescharacteristic
243C2×C3×C4⋊C4C2311yescharacteristic
244C2×C3×C4⋊C4C2311yescharacteristic
245C2×C3×C4⋊C4C2311yescharacteristic
246C2×C3×C22⋊C4C2311yescharacteristic
247C2×C3×C22⋊C4C2311yescharacteristic
248C2×C3×C22⋊C4C2311yescharacteristic
249C2×C3×C22⋊C4C2311yescharacteristic
250C2×C3×C22⋊C4C2311yescharacteristic
251C2×C3×C22⋊C4C2311yescharacteristic
252C2×C3×C22⋊C4C2311yescharacteristic
253C2×C3×C22⋊C4C2311yescharacteristic
254C2×C3×C22⋊C4C2311yescharacteristic
255C2×C3×C22⋊C4C2311yescharacteristic
256C2×C3×C22⋊C4C2311yescharacteristic
257C2×C3×C42C2311yescharacteristic
258C2×C3×C42C2311yescharacteristic
259C2×#217C2311yescharacteristic
260C2×#217C2311yescharacteristic
261C2×#217C2311yescharacteristic
262C2×#217C2311yescharacteristic
263C2×#217C2311yescharacteristic
264C2×#217C2311yescharacteristic
265C2×#217C2311yescharacteristic
266C2×#217C2311yescharacteristic
267C2×#217C2311yescharacteristic
268C2×#217C2311yescharacteristic
269C2×#217C2311yescharacteristic
270C2×#217C2311yescharacteristic
271C2×#217C2311yescharacteristic
272Q8×Dic3—24no—
273Q8×Dic3—24no—
274#944—24no—
275#944—24no—
276#936—24no—
277D4×Dic3—24no—
278C2×C4⋊Dic3C2311yescharacteristic
279C2×C4⋊Dic3C2311yescharacteristic
280C2×C4⋊Dic3C2311yescharacteristic
281C2×C4⋊Dic3C2311yescharacteristic
282C2×C4⋊Dic3C2311yescharacteristic
283C2×C4⋊Dic3C2311yescharacteristic
284C2×C4⋊Dic3C2311yescharacteristic
285C2×C4⋊Dic3C2311yescharacteristic
286C2×C4⋊Dic3C2311yescharacteristic
287C2×C4⋊Dic3C2311yescharacteristic
288C2×C4⋊Dic3C2311yescharacteristic
289C2×C4⋊Dic3C2311yescharacteristic
290C2×C4⋊Dic3C2311yescharacteristic
291#924—24no—
292C2×Dic3⋊C4C2311yescharacteristic
293C2×Dic3⋊C4C2311yescharacteristic
294C2×Dic3⋊C4C2311yescharacteristic
295C2×Dic3⋊C4C2311yescharacteristic
296C2×Dic3⋊C4C2311yescharacteristic
297C2×Dic3⋊C4C2311yescharacteristic
298C2×Dic3⋊C4C2311yescharacteristic
299C2×Dic3⋊C4C2311yescharacteristic
300C2×Dic3⋊C4C2311yescharacteristic
301C2×Dic3⋊C4C2311yescharacteristic
302C2×Dic3⋊C4C2311yescharacteristic
303C2×Dic3⋊C4C2311yescharacteristic
304C2×Dic3⋊C4C2311yescharacteristic
305C2×Dic3⋊C4C2311yescharacteristic
306C2×Dic3⋊C4C2311yescharacteristic
307C2×Dic3⋊C4C2311yescharacteristic
308C2×Dic3⋊C4C2311yescharacteristic
309C2×Dic3⋊C4C2311yescharacteristic
310C2×Dic3⋊C4C2311yescharacteristic
311C2×Dic3⋊C4C2311yescharacteristic
312C2×Dic3⋊C4C2311yescharacteristic
313C2×Dic3⋊C4C2311yescharacteristic
314C2×Dic3⋊C4C2311yescharacteristic
315C2×Dic3⋊C4C2311yescharacteristic
316C2×Dic3⋊C4C2311yescharacteristic
317C2×Dic3⋊C4C2311yescharacteristic
318C2×Dic3⋊C4C2311yescharacteristic
319C2×Dic3⋊C4C2311yescharacteristic
320C2×C4×Dic3—24no—
321C2×C4×Dic3C2311yescharacteristic
322C2×C4×Dic3C2311yescharacteristic
323C2×C4×Dic3C2311yescharacteristic
324C2×C4×Dic3C2311yescharacteristic
325C2×C4×Dic3C2311yescharacteristic
326C2×C4×Dic3C2311yescharacteristic
327C2×C4×Dic3C2311yescharacteristic
328C2×C4×Dic3C2311yescharacteristic
329C2×C4×Dic3C2311yescharacteristic
330C2×C4×Dic3C2311yescharacteristic
331C2×C4×Dic3C2311yescharacteristic
332C2×C4×Dic3C2311yescharacteristic
333C2×C4×Dic3C2311yescharacteristic
334C2×C4×Dic3C2311yescharacteristic
335C2×C4×Dic3C2311yescharacteristic
336C2×C4×Dic3C2311yescharacteristic
337C2×C4×Dic3C2311yescharacteristic
338C2×C4×Dic3C2311yescharacteristic
339C2×C4×Dic3C2311yescharacteristic
340C2×C4×Dic3C2311yescharacteristic
341C2×C4×Dic3C2311yescharacteristic
342#889—24no—
343#889—24no—
344#888—24no—
345#888—24no—
346#887—24no—
347#887—24no—
348#887—24no—
349#887—24no—
350#879—24no—
351#879—24no—
352#879—24no—
353#879—24no—
354#878—24no—
355#878—24no—
356#878—24no—
357#878D418yes—
358#877—24no—
359#877—24no—
360#877—24no—
361#877—24no—
362#877—24no—
363C4×Dic6—24no—
364C4×Dic6—24no—
365C3×#95C2311yescharacteristic
366C3×#95C2311yescharacteristic
367C3×#95C2311yescharacteristic
368C3×#95C2311yescharacteristic
369C3×#95C2311yescharacteristic
370C3×#95C2311yescharacteristic
371C3×#95C2311yescharacteristic
372C3×#95C2311yescharacteristic
373C3⋊#95C2311yescharacteristic
374C3⋊#95C2311yescharacteristic
375C3⋊#95C2311yescharacteristic
376C3⋊#95C2311yescharacteristic
377C3⋊#95C2311yescharacteristic
378C3⋊#95C2311yescharacteristic
379C3⋊#95C2311yescharacteristic
380C3⋊#95C2311yescharacteristic
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
411#556—68no—
412#533—68no—
413C2×C4⋊Q8—31no—
414C2×C4⋊Q8—31no—
415C2×C4⋊Q8—31no—
416C2×C4⋊Q8—31no—
417C2×C4⋊Q8C2×D311yescharacteristic
418C2×#126—31no—
419C2×#126—31no—
420C2×#126—31no—
421C2×#126—31no—
422C2×#125—31no—
423C2×#125—31no—
424C2×#124—31no—
425C2×#124C2×D311yescharacteristic
426C2×#123C2×D311yescharacteristic
427C2×C22⋊Q8—31no—
428C2×C22⋊Q8—31no—
429C2×C22⋊Q8—31no—
430C2×C22⋊Q8—31no—
431C2×C22⋊Q8—31no—
432C2×C22⋊Q8C2×D311yescharacteristic
433C2×C4×Q8—31no—
434C2×C4×Q8—31no—
435C2×C4×Q8—31no—
436C2×C4×Q8—31no—
437C2×C4×Q8—31no—
438C2×C4×Q8—31no—
439C2×C4×Q8—31no—
440C2×C4×Q8—31no—
441C2×C4×D4—31no—
442C2×#117—31no—
443C2×#117—31no—
444C2×#117—31no—
445C2×#117—31no—
446C2×#117—31no—
447C22×C42—31no—
448#400—31no—
449#400—31no—
450#399—31no—
451#399C2×D311yescharacteristic
452#398—31no—
453#398—31no—
454#398—31no—
455#398—31no—
456#398—31no—
457#398—31no—
458#398—31no—
459#398—31no—
460#397—31no—
461#397—31no—
462#397—31no—
463#397—31no—
464#397—31no—
465#397C2×D311yescharacteristic
466#396—31no—
467#396—31no—
468#396—31no—
469#396C2×D311yescharacteristic
470#395—31no—
471#395—31no—
472#395—31no—
473#395—31no—
474#395—31no—
475#395C2×D311yescharacteristic
476#394—31no—
477#394C2×D311yescharacteristic
478#393—31no—
479#393C2×D311yescharacteristic
480#391—31no—
481#391—31no—
482#391—31no—
483#391—31no—
484#391—31no—
485#391—31no—
486#391—31no—
487#391—31no—
488#389—31no—
489#389—31no—
490#389—31no—
491#389—31no—
492#389—31no—
493#389—31no—
494#389—31no—
495#389—31no—
496#389—31no—
497#389—31no—
498#389—31no—
499#389—31no—
500#389—31no—
501#389—31no—
502#389—31no—
503#389C2×D311yescharacteristic
504#388—31no—
505#388—31no—
506#388—31no—
507#388—31no—
508#388—31no—
509#388—31no—
510#388—31no—
511#388—31no—
512#388—31no—
513#388—31no—
514#388—31no—
515#388—31no—
516#388—31no—
517#388—31no—
518#388C2×D311yescharacteristic
519#388C2×D311yescharacteristic
520#387—31no—
521#387—31no—
522#387—31no—
523#387—31no—
524#387—31no—
525#387—31no—
526#387—31no—
527#387—31no—
528#387—31no—
529#387—31no—
530#387—31no—
531#387—31no—
532#387—31no—
533#387—31no—
534#387—31no—
535#387—31no—
536#387—31no—
537#387—31no—
538#387—31no—
539#387C2×D311yescharacteristic
540#386—31no—
541#385—31no—
542#385—31no—
543#385—31no—
544#385—31no—
545#385C2×D311yescharacteristic
546#384—31no—
547#382—31no—
548#382—31no—
549#382—31no—
550#381—31no—
551#380—31no—
552C4×C4⋊C4—31no—
553C4×C4⋊C4—31no—
554C4×C4⋊C4—31no—
555C4×C4⋊C4—31no—
556C4×C4⋊C4—31no—
557C4×C4⋊C4—31no—
558C4×C4⋊C4—31no—
559C4×C4⋊C4—31no—
560C4×C4⋊C4—31no—
561C4×C4⋊C4—31no—
562C4×C4⋊C4—31no—
563C4×C4⋊C4—31no—
564C4×C4⋊C4—31no—
565C4×C22⋊C4—31no—
566C4×C22⋊C4—31no—
567C4×C22⋊C4—31no—
568C24×C3C2411yescharacteristic
569C24×C3C2411yescharacteristic
570C2×C3×Q8—22no—
571C2×C3×Q8—22no—
572C2×C3×Q8—22no—
573C2×C3×Q8—22no—
574C2×C3×Q8—41no—
575C2×C3×Q8—41no—
576C2×C3×D4—22no—
577C2×C3×D4—22no—
578C2×C3×D4—41no—
579C22×C3×C4—22no—
580C22×C3×C4—22no—
581C22×C3×C4—41no—
582C22×C3×C4C2411yescharacteristic
583C22×C3×C4C2411yescharacteristic
584C22×C3×C4C2411yescharacteristic
585C22×C3×C4C2411yescharacteristic
586C22×C3×C4C2411yescharacteristic
587C22×C3×C4C2411yescharacteristic
588C22×C3×C4C2411yescharacteristic
589C22×C3×C4C2411yescharacteristic
590C22×C3×C4C2411yescharacteristic
591C22×C3×C4C2411yescharacteristic
592C22×C3×C4C2411yescharacteristic
593C22×C3×C4C2411yescharacteristic
594C22×C3×C4C2411yescharacteristic
595C22×Dic3—22no—
596C22×Dic3—22no—
597C22×Dic3—22no—
598C22×Dic3—22no—
599C22×Dic3—22no—
600C22×Dic3—22no—
601C22×Dic3—22no—
602C22×Dic3—22no—
603C22×Dic3C2×D414yes—
604C22×Dic3C2411yescharacteristic
605C22×Dic3C2411yescharacteristic
606C22×Dic3C2411yescharacteristic
607C22×Dic3C2411yescharacteristic
608C22×Dic3C2411yescharacteristic
609C22×Dic3C2411yescharacteristic
610C22×Dic3C2411yescharacteristic
611C22×Dic3C2411yescharacteristic
612C22×Dic3C2411yescharacteristic
613C22×Dic3C2411yescharacteristic
614C22×Dic3C2411yescharacteristic
615C22×Dic3C2411yescharacteristic
616C22×Dic3C2411yescharacteristic
617C22×Dic3C2411yescharacteristic
618C22×Dic3C2411yescharacteristic
619C22×Dic3C2411yescharacteristic
620C2×Dic6—22no—
621C2×Dic6—22no—
622C2×Dic6—22no—
623C2×Dic6—22no—
624C2×Dic6—22no—
625C2×Dic6—22no—
626C2×Dic6—22no—
627C2×Dic6—22no—
628C2×Dic6—22no—
629C2×Dic6—41no—
630C2×Dic6—41no—
631C2×Dic6C2×D414yes—
632C3×C4⋊C4—22no—
633C3×C4⋊C4—22no—
634C3×C4⋊C4—22no—
635C3×C4⋊C4—22no—
636C3×C4⋊C4—22no—
637C3×C4⋊C4—22no—
638C3×C4⋊C4—22no—
639C3×C4⋊C4—22no—
640C3×C4⋊C4—41no—
641C3×C4⋊C4#4114yes—
642C3×C22⋊C4—22no—
643C3×C22⋊C4—22no—
644C3×C22⋊C4—22no—
645C3×C22⋊C4—22no—
646C3×C22⋊C4—22no—
647C3×C22⋊C4—22no—
648C3×C22⋊C4—22no—
649C3×C22⋊C4—22no—
650C3×C22⋊C4—22no—
651C3×C22⋊C4—41no—
652C3×C22⋊C4C2×D414yes—
653C3×C42—22no—
654C3×C42—22no—
655#217—22no—
656#217—22no—
657#217—22no—
658#217—22no—
659#217—22no—
660#217—22no—
661#217—22no—
662#217—22no—
663#217—22no—
664#217—22no—
665#217—41no—
666#217—41no—
667#217C2×D414yes—
668C4⋊Dic3—22no—
669C4⋊Dic3—22no—
670C4⋊Dic3—22no—
671C4⋊Dic3—22no—
672C4⋊Dic3—22no—
673C4⋊Dic3—22no—
674C4⋊Dic3—22no—
675C4⋊Dic3—22no—
676C4⋊Dic3—22no—
677C4⋊Dic3—22no—
678C4⋊Dic3—22no—
679C4⋊Dic3—41no—
680C4⋊Dic3C2×D414yes—
681Dic3⋊C4—22no—
682Dic3⋊C4—22no—
683Dic3⋊C4—22no—
684Dic3⋊C4—22no—
685Dic3⋊C4—22no—
686Dic3⋊C4—22no—
687Dic3⋊C4—22no—
688Dic3⋊C4—22no—
689Dic3⋊C4—22no—
690Dic3⋊C4—22no—
691Dic3⋊C4—22no—
692Dic3⋊C4—22no—
693Dic3⋊C4—22no—
694Dic3⋊C4—22no—
695Dic3⋊C4—22no—
696Dic3⋊C4—22no—
697Dic3⋊C4—22no—
698Dic3⋊C4—22no—
699Dic3⋊C4—22no—
700Dic3⋊C4—22no—
701Dic3⋊C4—22no—
702Dic3⋊C4—41no—
703Dic3⋊C4—41no—
704Dic3⋊C4—41no—
705Dic3⋊C4—41no—
706Dic3⋊C4C2×D414yes—
707Dic3⋊C4C2×D414yes—
708Dic3⋊C4#4114yes—
709C4×Dic3—22no—
710C4×Dic3—22no—
711C4×Dic3—22no—
712C4×Dic3—22no—
713C4×Dic3—22no—
714C4×Dic3—22no—
715C4×Dic3—22no—
716C4×Dic3—22no—
717C4×Dic3—22no—
718C4×Dic3—22no—
719C4×Dic3—22no—
720C4×Dic3—22no—
721C4×Dic3—22no—
722C4×Dic3—22no—
723C4×Dic3—22no—
724C4×Dic3—22no—
725C4×Dic3—22no—
726C4×Dic3—22no—
727C4×Dic3—22no—
728C4×Dic3—22no—
729C4×Dic3—22no—
730C22×Q8—31no—
731C22×Q8—31no—
732C22×Q8—31no—
733C22×Q8—31no—
734C22×Q8C22×D311yescharacteristic
735C22×Q8C22×D311yescharacteristic
736C22×D4C22×D311yescharacteristic
737C23×C4—31no—
738C23×C4—31no—
739C23×C4—31no—
740C23×C4C22×D311yescharacteristic
741C4⋊Q8—24no—
742C4⋊Q8—64no—
743C4⋊Q8—64no—
744C4⋊Q8—64no—
745C4⋊Q8—64no—
746#126—64no—
747#126—64no—
748#126—64no—
749#126—64no—
750#125—64no—
751#125—64no—
752#124—24no—
753#124—64no—
754#123—24no—
755C22⋊Q8—24no—
756C22⋊Q8—38no—
757C22⋊Q8—64no—
758C22⋊Q8—64no—
759C22⋊Q8—64no—
760C22⋊Q8—64no—
761C4×Q8—64no—
762C4×Q8—64no—
763C4×Q8—64no—
764C4×Q8—64no—
765C4×Q8—64no—
766C4×Q8—64no—
767C4×Q8—64no—
768C4×Q8—64no—
769C4×D4—64no—
770#117—64no—
771#117—64no—
772#117—64no—
773#117—64no—
774#117—64no—
775C2×C4⋊C4—31no—
776C2×C4⋊C4—31no—
777C2×C4⋊C4—31no—
778C2×C4⋊C4—31no—
779C2×C4⋊C4—31no—
780C2×C4⋊C4—31no—
781C2×C4⋊C4—31no—
782C2×C4⋊C4—31no—
783C2×C4⋊C4—31no—
784C2×C4⋊C4—31no—
785C2×C4⋊C4—31no—
786C2×C4⋊C4—31no—
787C2×C4⋊C4—31no—
788C2×C4⋊C4—31no—
789C2×C4⋊C4—31no—
790C2×C4⋊C4—31no—
791C2×C4⋊C4—31no—
792C2×C4⋊C4—31no—
793C2×C4⋊C4—31no—
794C2×C4⋊C4—31no—
795C2×C4⋊C4—31no—
796C2×C4⋊C4—31no—
797C2×C4⋊C4—31no—
798C2×C4⋊C4—31no—
799C2×C4⋊C4—31no—
800C2×C4⋊C4—31no—
801C2×C4⋊C4—31no—
802C2×C4⋊C4—31no—
803C2×C4⋊C4—31no—
804C2×C4⋊C4—31no—
805C2×C4⋊C4—31no—
806C2×C4⋊C4—31no—
807C2×C4⋊C4—31no—
808C2×C4⋊C4—31no—
809C2×C4⋊C4—31no—
810C2×C4⋊C4—31no—
811C2×C4⋊C4—31no—
812C2×C4⋊C4—31no—
813C2×C4⋊C4—31no—
814C2×C4⋊C4—31no—
815C2×C4⋊C4—31no—
816C2×C4⋊C4C22×D311yescharacteristic
817C2×C4⋊C4C22×D311yescharacteristic
818C2×C4⋊C4C22×D311yescharacteristic
819C2×C4⋊C4C22×D311yescharacteristic
820C2×C4⋊C4C22×D311yescharacteristic
821C2×C4⋊C4C22×D311yescharacteristic
822C2×C4⋊C4C22×D311yescharacteristic
823C2×C4⋊C4C22×D311yescharacteristic
824C2×C4⋊C4C22×D311yescharacteristic
825C2×C4⋊C4C22×D311yescharacteristic
826C2×C22⋊C4—31no—
827C2×C22⋊C4—31no—
828C2×C22⋊C4—31no—
829C2×C22⋊C4—31no—
830C2×C22⋊C4—31no—
831C2×C22⋊C4—31no—
832C2×C22⋊C4—31no—
833C2×C22⋊C4—31no—
834C2×C22⋊C4—31no—
835C2×C22⋊C4—31no—
836C2×C22⋊C4—31no—
837C2×C22⋊C4—31no—
838C2×C22⋊C4—31no—
839C2×C22⋊C4C22×D311yescharacteristic
840C2×C22⋊C4C22×D311yescharacteristic
841C2×C22⋊C4C22×D311yescharacteristic
842C2×C22⋊C4C22×D311yescharacteristic
843C2×C22⋊C4C22×D311yescharacteristic
844C2×C22⋊C4C22×D311yescharacteristic
845C2×C22⋊C4C22×D311yescharacteristic
846C2×C22⋊C4C22×D311yescharacteristic
847C2×C22⋊C4C22×D311yescharacteristic
848C2×C22⋊C4C22×D311yescharacteristic
849C2×C22⋊C4C22×D311yescharacteristic
850C2×C42—31no—
851C2×C42—31no—
852C2×C42—31no—
853C2×C42—31no—
854C2×C42—31no—
855C2×C42—31no—
856C2×C42—31no—
857C2×C42—31no—
858C2×C42—31no—
859C2×C42—31no—
860C2×C42—31no—
861C2×C42—31no—
862C2×C42—31no—
863C2×C42—31no—
864C2×C42—31no—
865C2×C42—31no—
866C2×C42—31no—
867C2×C42—31no—
868C2×C42—31no—
869C2×C42—31no—
870C2×C42—31no—
871C2×C42—64no—
872C2×C42C22×D311yescharacteristic
873C2×C42C22×D311yescharacteristic
874#95—31no—
875#95—31no—
876#95—31no—
877#95—31no—
878#95—31no—
879#95—31no—
880#95—31no—
881#95—31no—
882#95—31no—
883#95—31no—
884#95—31no—
885#95—31no—
886#95—31no—
887#95—31no—
888#95—31no—
889#95—31no—
890#95—31no—
891#95—31no—
892#95—31no—
893#95—31no—
894#95—31no—
895#95—31no—
896#95—31no—
897#95—31no—
898#95—31no—
899#95—31no—
900#95—31no—
901#95—31no—
902#95—31no—
903#95—31no—
904#95—31no—
905#95—31no—
906#95—31no—
907#95—31no—
908#95—31no—
909#95—31no—
910#95—31no—
911#95—31no—
912#95C22×D311yescharacteristic
913#95C22×D311yescharacteristic
914#95C22×D311yescharacteristic
915#95C22×D311yescharacteristic
916#95C22×D311yescharacteristic
917#95C22×D311yescharacteristic
918#95C22×D311yescharacteristic
919#95C22×D311yescharacteristic
920C23×C3—21no—
921C23×C3—21no—
922C23×C3—21no—
923C23×C3—21no—
924C23×C3—21no—
925C23×C3—21no—
926C23×C3—21no—
927C23×C3—21no—
928C23×C3—21no—
929C23×C3—21no—
930C23×C3—21no—
931C23×C3—21no—
932C23×C3—21no—
933C23×C3C22×D412yes—
934C23×C3C2511yescharacteristic
935C3×Q8—44no—
936C3×Q8—44no—
937C3×D4—44no—
938C2×C3×C4—21no—
939C2×C3×C4—21no—
940C2×C3×C4—21no—
941C2×C3×C4—21no—
942C2×C3×C4—21no—
943C2×C3×C4—21no—
944C2×C3×C4—21no—
945C2×C3×C4—21no—
946C2×C3×C4—21no—
947C2×C3×C4—21no—
948C2×C3×C4—21no—
949C2×C3×C4—21no—
950C2×C3×C4—21no—
951C2×C3×C4—21no—
952C2×C3×C4—21no—
953C2×C3×C4—21no—
954C2×C3×C4—21no—
955C2×C3×C4—21no—
956C2×C3×C4—21no—
957C2×C3×C4—21no—
958C2×C3×C4—21no—
959C2×C3×C4—21no—
960C2×C3×C4—21no—
961C2×C3×C4—21no—
962C2×C3×C4—21no—
963C2×C3×C4—21no—
964C2×C3×C4—21no—
965C2×C3×C4—21no—
966C2×C3×C4—21no—
967C2×C3×C4—21no—
968C2×C3×C4—21no—
969C2×C3×C4—21no—
970C2×C3×C4—21no—
971C2×C3×C4—44no—
972C2×C3×C4C22×D412yes—
973C2×C3×C4C22×D412yes—
974C2×C3×C4C2×#4112yes—
975C2×C3×C4C2×#4112yes—
976C2×C3×C4C2×#4112yes—
977C2×C3×C4C2×#4112yes—
978C2×Dic3—28no—
979C2×Dic3—21no—
980C2×Dic3—21no—
981C2×Dic3—21no—
982C2×Dic3—21no—
983C2×Dic3—21no—
984C2×Dic3—21no—
985C2×Dic3—21no—
986C2×Dic3—21no—
987C2×Dic3—21no—
988C2×Dic3—21no—
989C2×Dic3—21no—
990C2×Dic3—21no—
991C2×Dic3—28no—
992C2×Dic3—21no—
993C2×Dic3—21no—
994C2×Dic3—21no—
995C2×Dic3—21no—
996C2×Dic3—21no—
997C2×Dic3—21no—
998C2×Dic3—21no—
999C2×Dic3—21no—
1000C2×Dic3—21no—
1001C2×Dic3—21no—
1002C2×Dic3—21no—
1003C2×Dic3—21no—
1004C2×Dic3—21no—
1005C2×Dic3—21no—
1006C2×Dic3—21no—
1007C2×Dic3—21no—
1008C2×Dic3—21no—
1009C2×Dic3—21no—
1010C2×Dic3—21no—
1011C2×Dic3—21no—
1012C2×Dic3—21no—
1013C2×Dic3—21no—
1014C2×Dic3—21no—
1015C2×Dic3—21no—
1016C2×Dic3—21no—
1017C2×Dic3—21no—
1018C2×Dic3—21no—
1019C2×Dic3—44no—
1020C2×Dic3C22×D412yes—
1021C2×Dic3C22×D412yes—
1022C2×Dic3C22×D412yes—
1023C2×Dic3C22×D412yes—
1024C2×Dic3C2×#4112yes—
1025C2×Dic3C2×#4112yes—
1026C2×Dic32−1+412yes—
1027C2×Dic32−1+412yes—
1028C2×Dic32−1+412yes—
1029Dic6—28no—
1030Dic6—44no—
1031Dic6—44no—
1032Dic6—44no—
1033C24C23×D311yescharacteristic
1034C24C23×D311yescharacteristic
1035C2×Q8—22no—
1036C2×Q8—22no—
1037C2×Q8—22no—
1038C2×Q8—22no—
1039C2×Q8—34no—
1040C2×Q8—41no—
1041C2×Q8—41no—
1042C2×Q8—62no—
1043C2×Q8—62no—
1044C2×Q8—62no—
1045C2×Q8—62no—
1046C2×Q8—62no—
1047C2×Q8—62no—
1048C2×Q8—62no—
1049C2×Q8—62no—
1050C2×Q8—62no—
1051C2×Q8—121no—
1052C2×Q8—121no—
1053C2×D4—22no—
1054C2×D4—22no—
1055C2×D4—41no—
1056C22×C4—22no—
1057C22×C4—22no—
1058C22×C4—31no—
1059C22×C4—34no—
1060C22×C4—31no—
1061C22×C4—31no—
1062C22×C4—31no—
1063C22×C4—31no—
1064C22×C4—31no—
1065C22×C4—31no—
1066C22×C4—31no—
1067C22×C4—31no—
1068C22×C4—31no—
1069C22×C4—31no—
1070C22×C4—31no—
1071C22×C4—31no—
1072C22×C4—31no—
1073C22×C4—31no—
1074C22×C4—31no—
1075C22×C4—41no—
1076C22×C4—62no—
1077C22×C4—62no—
1078C22×C4—62no—
1079C22×C4—62no—
1080C22×C4—62no—
1081C22×C4—62no—
1082C22×C4—62no—
1083C22×C4—62no—
1084C22×C4C23×D311yescharacteristic
1085C22×C4C23×D311yescharacteristic
1086C22×C4C23×D311yescharacteristic
1087C22×C4C23×D311yescharacteristic
1088C22×C4C23×D311yescharacteristic
1089C22×C4C23×D311yescharacteristic
1090C22×C4C23×D311yescharacteristic
1091C22×C4C23×D311yescharacteristic
1092C22×C4C23×D311yescharacteristic
1093C22×C4C23×D311yescharacteristic
1094C22×C4C23×D311yescharacteristic
1095C22×C4C23×D311yescharacteristic
1096C22×C4C23×D311yescharacteristic
1097C4⋊C4—22no—
1098C4⋊C4—22no—
1099C4⋊C4—22no—
1100C4⋊C4—22no—
1101C4⋊C4—22no—
1102C4⋊C4—22no—
1103C4⋊C4—22no—
1104C4⋊C4—22no—
1105C4⋊C4—34no—
1106C4⋊C4—34no—
1107C4⋊C4—34no—
1108C4⋊C4—34no—
1109C4⋊C4—41no—
1110C4⋊C4—62no—
1111C4⋊C4—62no—
1112C4⋊C4—62no—
1113C4⋊C4—62no—
1114C4⋊C4—62no—
1115C4⋊C4—62no—
1116C4⋊C4—62no—
1117C4⋊C4—62no—
1118C4⋊C4—62no—
1119C4⋊C4—62no—
1120C4⋊C4—62no—
1121C4⋊C4—62no—
1122C4⋊C4—62no—
1123C4⋊C4—62no—
1124C4⋊C4—62no—
1125C4⋊C4—62no—
1126C4⋊C4—62no—
1127C4⋊C4—62no—
1128C4⋊C4—62no—
1129C4⋊C4—62no—
1130C4⋊C4—62no—
1131C4⋊C4—62no—
1132C4⋊C4—62no—
1133C4⋊C4—62no—
1134C4⋊C4—62no—
1135C4⋊C4—62no—
1136C4⋊C4—62no—
1137C4⋊C4—62no—
1138C4⋊C4—62no—
1139C4⋊C4—62no—
1140C4⋊C4—62no—
1141C4⋊C4—62no—
1142C4⋊C4—121no—
1143C4⋊C4—121no—
1144C4⋊C4—121no—
1145C4⋊C4—121no—
1146C4⋊C4—121no—
1147C4⋊C4#23714yes—
1148C22⋊C4—22no—
1149C22⋊C4—22no—
1150C22⋊C4—22no—
1151C22⋊C4—22no—
1152C22⋊C4—22no—
1153C22⋊C4—22no—
1154C22⋊C4—22no—
1155C22⋊C4—22no—
1156C22⋊C4—22no—
1157C22⋊C4—34no—
1158C22⋊C4—41no—
1159C22⋊C4—62no—
1160C22⋊C4—62no—
1161C22⋊C4—62no—
1162C22⋊C4—62no—
1163C22⋊C4—62no—
1164C22⋊C4—62no—
1165C22⋊C4—62no—
1166C22⋊C4—62no—
1167C22⋊C4—62no—
1168C22⋊C4—62no—
1169C22⋊C4—121no—
1170C22⋊C4—121no—
1171C22⋊C4D3×D414yes—
1172C42—22no—
1173C42—22no—
1174C42—62no—
1175C42—62no—
1176C42—62no—
1177C42—62no—
1178C42—62no—
1179C42—62no—
1180C42—62no—
1181C42—62no—
1182C42—62no—
1183C42—62no—
1184C42—62no—
1185C42—62no—
1186C42—62no—
1187C42—62no—
1188C42—62no—
1189C42—62no—
1190C42—62no—
1191C42—62no—
1192C42—62no—
1193C42—62no—
1194C42—62no—
1195C22×C3—22no—
1196C22×C3—22no—
1197C22×C3—22no—
1198C22×C3—41no—
1199C22×C3—41no—
1200C22×C3—41no—
1201C22×C3—41no—
1202C22×C3—41no—
1203C22×C3—41no—
1204C22×C3—41no—
1205C22×C3—41no—
1206C22×C3—41no—
1207C22×C3—41no—
1208C22×C3—41no—
1209C22×C3C23×D411yescharacteristic
1210C22×C3C22×#4111yescharacteristic
1211C22×C3C22×#4111yescharacteristic
1212C22×C3C2×2−1+411yescharacteristic
1213C22×C3C2×2−1+411yescharacteristic
1214C22×C3C2×2−1+411yescharacteristic
1215C22×C3#58511yescharacteristic
1216C3×C4—22no—
1217C3×C4—22no—
1218C3×C4—22no—
1219C3×C4—22no—
1220C3×C4—22no—
1221C3×C4—22no—
1222C3×C4—41no—
1223C3×C4—41no—
1224C3×C4—41no—
1225C3×C4—41no—
1226C3×C4—41no—
1227C3×C4—41no—
1228C3×C4—41no—
1229Dic3—22no—
1230Dic3—22no—
1231Dic3—22no—
1232Dic3—22no—
1233Dic3—22no—
1234Dic3—22no—
1235Dic3—41no—
1236Dic3—41no—
1237Dic3—41no—
1238Dic3—41no—
1239Dic3—41no—
1240Dic3—41no—
1241Dic3—41no—
1242Dic3—41no—
1243Dic3—41no—
1244Dic3#54714yes—
1245C23—21no—
1246C23—21no—
1247C23—21no—
1248C23—21no—
1249C23—21no—
1250C23—21no—
1251C23—21no—
1252C23—21no—
1253C23—21no—
1254C23—21no—
1255C23—21no—
1256C23—21no—
1257C23—21no—
1258C23C2×D3×D412yes—
1259C23C24×D311yescharacteristic
1260Q8—44no—
1261Q8—44no—
1262Q8—68no—
1263Q8—124no—
1264Q8—124no—
1265Q8—124no—
1266D4—44no—
1267C2×C4—21no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—21no—
1277C2×C4—21no—
1278C2×C4—21no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—32no—
1301C2×C4—32no—
1302C2×C4—32no—
1303C2×C4—32no—
1304C2×C4—32no—
1305C2×C4—32no—
1306C2×C4—32no—
1307C2×C4—32no—
1308C2×C4—32no—
1309C2×C4—44no—
1310C2×C4—68no—
1311C2×C4—68no—
1312C2×C4—61no—
1313C2×C4—61no—
1314C2×C4—61no—
1315C2×C4—61no—
1316C2×C4—61no—
1317C2×C4—61no—
1318C2×C4—61no—
1319C2×C4—61no—
1320C2×C4—61no—
1321C2×C4—61no—
1322C2×C4—61no—
1323C2×C4—61no—
1324C2×C4—61no—
1325C2×C4—61no—
1326C2×C4—61no—
1327C2×C4—61no—
1328C2×C4—61no—
1329C2×C4—61no—
1330C2×C4—61no—
1331C2×C4—61no—
1332C2×C4—61no—
1333C2×C4—61no—
1334C2×C4—61no—
1335C2×C4—61no—
1336C2×C4—61no—
1337C2×C4—61no—
1338C2×C4—61no—
1339C2×C4—61no—
1340C2×C4—61no—
1341C2×C4—61no—
1342C2×C4—61no—
1343C2×C4—61no—
1344C2×C4—61no—
1345C2×C4—61no—
1346C2×C4—61no—
1347C2×C4—61no—
1348C2×C4—61no—
1349C2×C4—61no—
1350C2×C4—61no—
1351C2×C4—124no—
1352C2×C4C2×D3×D412yes—
1353C2×C4C2×D3×D412yes—
1354C2×C4C2×#23712yes—
1355C2×C4C2×#23712yes—
1356C2×C4C2×#23712yes—
1357C2×C4D3×#4112yes—
1358C2×C3—42no—
1359C2×C3—81no—
1360C2×C3C2×#54711yescharacteristic
1361C2×C3D4×#4111yescharacteristic
1362C2×C3#348211yescharacteristic
1363C2×C3#348611yescharacteristic
1364C2×C3#350911yescharacteristic
1365C2×C3#351811yescharacteristic
1366C2×C3#355511yescharacteristic
1367C22—22no—
1368C22—22no—
1369C22—22no—
1370C22—41no—
1371C22—41no—
1372C22—41no—
1373C22—41no—
1374C22—41no—
1375C22—41no—
1376C22—41no—
1377C22—41no—
1378C22—41no—
1379C22—41no—
1380C22—41no—
1381C22C22×D3×D411yescharacteristic
1382C22C22×#23711yescharacteristic
1383C22C2×D3×#4111yescharacteristic
1384C22#596611yescharacteristic
1385C22D3×2−1+411yescharacteristic
1386C22D3×2−1+411yescharacteristic
1387C22D3×2−1+411yescharacteristic
1388C4—22no—
1389C4—22no—
1390C4—22no—
1391C4—22no—
1392C4—22no—
1393C4—22no—
1394C4—34no—
1395C4—41no—
1396C4—41no—
1397C4—41no—
1398C4—41no—
1399C4—41no—
1400C4—41no—
1401C4—41no—
1402C4—62no—
1403C4—62no—
1404C4—62no—
1405C4—62no—
1406C4—62no—
1407C4—62no—
1408C4—121no—
1409C4—121no—
1410C4—121no—
1411C4—121no—
1412C4—121no—
1413C4—121no—
1414C4—121no—
1415C4—121no—
1416C4—121no—
1417C3#5911411yescharacteristic, complemented, Sylow
1418C2—42no—
1419C2—81no—
1420C2#8634311yescharacteristic
1421C2#8635511yescharacteristic
1422C2#8652711yescharacteristic
1423C2D4×#23711yescharacteristic
1424C2D3×#54711yescharacteristic
1425C2#8671211yescharacteristic
1426C2#8712111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2674C2
prime radicalC22×C3×D4C23
hypercenter#2674D3
hypocenterC3#59114
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2674

Complements

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

NH ≅ G/Ntype
2. C2×#5622C2semidirect
4. #83242C2semidirect
5. #83229C2semidirect
9. #82799C2semidirect
10. #78033C2semidirect
11. #78020C2semidirect
12. #77491C2semidirect
13. #77478C2semidirect
14. #77298C2semidirect
15. #77287C2semidirect
16. #77177C2semidirect
17. #77175C2semidirect
20. #76789C2semidirect
21. #76782C2semidirect
22. #76018C2semidirect
23. #75982C2semidirect
24. #75564C2semidirect
25. #75535C2semidirect
26. #75478C2semidirect
27. #75478C2semidirect
28. #74986C2semidirect
29. #74967C2semidirect
30. #74521C2semidirect
31. #74378C2semidirect
1417. C3#59114semidirect

Maximal subgroups

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

subgroupindex
C2×#56712
C2×#56222
C3×#26742
#832422
#832292
#829662
#828702
Dic3×#1232
#827992
#780332
#780202
#774912
#774782
#772982
#772872
#771772
#771752
#769272
#768972
#767892
#767822
#760182
#759822
#755642
#755352
#754782
#749862
#749672
#745212
#743782
#591143