Finite Group Databasebeta

← #11098092

Subgroups — #11098092

Order 768.

2734 conjugacy classes of subgroups.

The subgroup lattice has 1834 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#534C211yesmaximal, characteristic, complemented
2C2×#5806C211yesmaximal, characteristic, complemented
3#84048C211yesmaximal, characteristic, complemented
4#84047C211yesmaximal, characteristic, complemented
5D4×#217C211yesmaximal, characteristic, complemented
6#82910C211yesmaximal, characteristic, complemented
7#82904C211yesmaximal, characteristic, complemented
8#82902C211yesmaximal, characteristic, complemented
9#82889C211yesmaximal, characteristic, complemented
10#82888C211yesmaximal, characteristic, complemented
11#82886C211yesmaximal, characteristic, complemented
12#82879C211yesmaximal, characteristic, complemented
13#82868C211yesmaximal, characteristic, complemented
14#82670C211yesmaximal, characteristic, complemented
15#82656C211yesmaximal, characteristic, complemented
16#82655C211yesmaximal, characteristic, complemented
17#82651C211yesmaximal, characteristic, complemented
18#82651C211yesmaximal, characteristic, complemented
19#82645C211yesmaximal, characteristic, complemented
20#82645C211yesmaximal, characteristic, complemented
21#82642C211yesmaximal, characteristic, complemented
22#82611C211yesmaximal, characteristic, complemented
23#82608C211yesmaximal, characteristic, complemented
24#82600C211yesmaximal, characteristic, complemented
25#82598C211yesmaximal, characteristic, complemented
26#82596C211yesmaximal, characteristic, complemented
27#82593C211yesmaximal, characteristic, complemented
28#82592C211yesmaximal, characteristic, complemented
29#82584C211yesmaximal, characteristic, complemented
30#82131C211yesmaximal, characteristic, complemented
31C2×#4952C211yesmaximal, characteristic, complemented
32#40510—31nomaximal, Sylow
33C23×C3×D4C2211yescharacteristic
34C23×C3×D4C2211yescharacteristic
35C22×#237C2211yescharacteristic, complemented
36C3×#534—28no—
37C2×C3×#123C2211yescharacteristic
38C2×C3×#123C2211yescharacteristic
39C2×C3×#123C2211yescharacteristic
40C2×C3×#123C2211yescharacteristic
41C2×C3×#121C2211yescharacteristic
42C2×C3×#121C2211yescharacteristic
43C2×C3×#121C2211yescharacteristic
44C2×C3×#121C2211yescharacteristic
45C2×C3×#120C2211yescharacteristic
46C2×C3×#120C2211yescharacteristic
47C2×C3×#120C2211yescharacteristic
48C2×C3×#120C2211yescharacteristic
49C22×C3×C22⋊C4C2211yescharacteristic
50C2×#953C2211yescharacteristic
51C2×#953C2211yescharacteristic, complemented
52C2×#953C2211yescharacteristic, complemented
53C22×#217C2211yescharacteristic
54C22×#217C2211yescharacteristic
55C22×#217C2211yescharacteristic, complemented
56C22×#217C2211yescharacteristic, complemented
57#5806—28no—
58C2×#939C2211yescharacteristic
59C2×#939C2211yescharacteristic, complemented
60C2×#939C2211yescharacteristic, complemented
61C2×#939C2211yescharacteristic, complemented
62C2×#939C2211yescharacteristic, complemented
63C2×#938C2211yescharacteristic
64C2×#936C2211yescharacteristic
65C2×#935C2211yescharacteristic
66C2×#935C2211yescharacteristic, complemented
67C2×#935C2211yescharacteristic, complemented
68C2×#935C2211yescharacteristic, complemented
69C2×#935C2211yescharacteristic, complemented
70C2×D4×Dic3C2211yescharacteristic, complemented
71C2×D4×Dic3C2211yescharacteristic, complemented
72C2×D4×Dic3C2211yescharacteristic, complemented
73C2×C4×#67C2211yescharacteristic, complemented
74C2×#924C2211yescharacteristic, complemented
75C22×Dic3⋊C4C2211yescharacteristic, complemented
76#5247C2211yescharacteristic
77#5247C2211yescharacteristic, complemented
78#5247C2211yescharacteristic, complemented
79#5247C2211yescharacteristic, complemented
80#5247C2211yescharacteristic, complemented
81#5223C2211yescharacteristic
82#5223C2211yescharacteristic
83#5223C2211yescharacteristic, complemented
84#5223C2211yescharacteristic, complemented
85#5223C2211yescharacteristic, complemented
86#5222C2211yescharacteristic
87#5222C2211yescharacteristic
88#5222C2211yescharacteristic
89#5222C2211yescharacteristic
90#5222C2211yescharacteristic
91#5222C2211yescharacteristic
92#5222C2211yescharacteristic, complemented
93#5222C2211yescharacteristic, complemented
94#5222C2211yescharacteristic, complemented
95#5222C2211yescharacteristic, complemented
96#5222C2211yescharacteristic, complemented
97#5221C2211yescharacteristic
98#5221C2211yescharacteristic
99#5220C2211yescharacteristic
100#5220C2211yescharacteristic
101#5220C2211yescharacteristic, complemented
102#5220C2211yescharacteristic, complemented
103#5220C2211yescharacteristic, complemented
104#5220C2211yescharacteristic, complemented
105#5220C2211yescharacteristic, complemented
106#5220C2211yescharacteristic, complemented
107#5220C2211yescharacteristic, complemented
108#5220C2211yescharacteristic, complemented
109#5220C2211yescharacteristic, complemented
110#5220C2211yescharacteristic, complemented
111#5220C2211yescharacteristic, complemented
112#5220C2211yescharacteristic, complemented
113#5213C2211yescharacteristic, complemented
114#5213C2211yescharacteristic, complemented
115#5213C2211yescharacteristic, complemented
116#5212C2211yescharacteristic, complemented
117#5210C2211yescharacteristic, complemented
118#5210C2211yescharacteristic, complemented
119#5210C2211yescharacteristic, complemented
120#5210C2211yescharacteristic, complemented
121#5210C2211yescharacteristic, complemented
122C4×#217C2211yescharacteristic, complemented
123C2×C3⋊#95C2211yescharacteristic, complemented
124C2×C3⋊#95C2211yescharacteristic, complemented
125C2×C3⋊#95C2211yescharacteristic, complemented
126#4994C2211yescharacteristic, complemented
127#4990C2211yescharacteristic, complemented
128#4989C2211yescharacteristic, complemented
129#4989C2211yescharacteristic, complemented
130#4986C2211yescharacteristic, complemented
131#4982C2211yescharacteristic, complemented
132#4982C2211yescharacteristic, complemented
133#4982C2211yescharacteristic, complemented
134#4981C2211yescharacteristic, complemented
135#4979C2211yescharacteristic, complemented
136#4979C2211yescharacteristic, complemented
137#4978C2211yescharacteristic, complemented
138#4978C2211yescharacteristic, complemented
139#4976C2211yescharacteristic, complemented
140#4976C2211yescharacteristic, complemented
141#4976C2211yescharacteristic, complemented
142#4961C2211yescharacteristic, complemented
143#4959C2211yescharacteristic, complemented
144#4959C2211yescharacteristic, complemented
145#4959C2211yescharacteristic, complemented
146#4959C2211yescharacteristic, complemented
147#4959C2211yescharacteristic, complemented
148#4959C2211yescharacteristic, complemented
149#4959C2211yescharacteristic, complemented
150#4958C2211yescharacteristic, complemented
151#4957C2211yescharacteristic, complemented
152#4956C2211yescharacteristic, complemented
153#4956C2211yescharacteristic, complemented
154#4953C2211yescharacteristic, complemented
155#4952C2211yescharacteristic, complemented
156#4952C2211yescharacteristic, complemented
157#4952C2211yescharacteristic, complemented
158#4952C2211yescharacteristic, complemented
159#4952C2211yescharacteristic, complemented
160#4952C2211yescharacteristic, complemented
161#4952C2211yescharacteristic, complemented
162#4952C2211yescharacteristic, complemented
163#4952C2211yescharacteristic, complemented
164#4952C2211yescharacteristic, complemented
165#4952C2211yescharacteristic, complemented
166#4952C2211yescharacteristic, complemented
167#4952C2211yescharacteristic, complemented
168#4952C2211yescharacteristic, complemented
169#4952C2211yescharacteristic, complemented
170#4952C2211yescharacteristic, complemented
171#4952C2211yescharacteristic, complemented
172#4949C2211yescharacteristic, complemented
173#4948C2211yescharacteristic, complemented
174#4948C2211yescharacteristic, complemented
175#4948C2211yescharacteristic, complemented
176#4947C2211yescharacteristic, complemented
177#4947C2211yescharacteristic, complemented
178#4946C2211yescharacteristic, complemented
179#4946C2211yescharacteristic, complemented
180#4946C2211yescharacteristic, complemented
181#4945C2211yescharacteristic, complemented
182#4945C2211yescharacteristic, complemented
183#4945C2211yescharacteristic, complemented
184#4944C2211yescharacteristic, complemented
185#4944C2211yescharacteristic, complemented
186#4943C2211yescharacteristic, complemented
187#4942C2211yescharacteristic, complemented
188#4942C2211yescharacteristic, complemented
189#4942C2211yescharacteristic, complemented
190C2×#546—31no—
191C2×#534D311yescharacteristic, complemented
192#2814—31no—
193#2812—31no—
194#2724—31no—
195#2717—31no—
196#2708—31no—
197#2701—31no—
198#2697—31no—
199#2684—31no—
200#2678—31no—
201#2668—31no—
202#2663—31no—
203#2630—31no—
204#2622—31no—
205#2622—31no—
206#2617—31no—
207#2602—31no—
208#2543—31no—
209#2444—31no—
210#2443—31no—
211#2430—31no—
212#2430—31no—
213#2425—31no—
214#2425—31no—
215#2416—31no—
216#2412—31no—
217#2410—31no—
218#2405—31no—
219C2×#397—31no—
220D4×C22⋊C4—31no—
221C25×C3C2311yescharacteristic
222C25×C3C2311yescharacteristic
223C25×C3C2311yescharacteristic
224C22×C3×D4—24no—
225C22×C3×D4—42no—
226C22×C3×D4—42no—
227C22×C3×D4—42no—
228C22×C3×D4—42no—
229C22×C3×D4D418yescomplemented
230C22×C3×D4C2311yescharacteristic
231C22×C3×D4C2311yescharacteristic
232C22×C3×D4C2311yescharacteristic
233C22×C3×D4C2311yescharacteristic
234C22×C3×D4C2311yescharacteristic
235C22×C3×D4C2311yescharacteristic
236C22×C3×D4C2311yescharacteristic
237C22×C3×D4C2311yescharacteristic
238C22×C3×D4C2311yescharacteristic
239C22×C3×D4C2311yescharacteristic
240C22×C3×D4C2311yescharacteristic
241C22×C3×D4C2311yescharacteristic
242C23×C3×C4C2311yescharacteristic
243C23×C3×C4C2311yescharacteristic
244C23×C3×C4C2311yescharacteristic
245C23×C3×C4C2311yescharacteristic
246C22×#67C2311yescharacteristic
247C22×#67C2311yescharacteristic
248C22×#67C2311yescharacteristic
249C22×#67C2311yescharacteristic
250C22×#67C2311yescharacteristic
251C22×#67C2311yescharacteristic
252C22×#67C2311yescharacteristic
253C23×Dic3C2311yescharacteristic
254C23×Dic3C2311yescharacteristic
255C23×Dic3C2311yescharacteristic
256C23×Dic3C2311yescharacteristic
257C23×Dic3C2311yescharacteristic
258C23×Dic3C2311yescharacteristic
259C23×Dic3C2311yescharacteristic
260C23×Dic3C2311yescharacteristic
261C2×#237—24no—
262C2×#237—42no—
263C2×#237—42no—
264C22×C4×D3C2311yescharacteristic
265C22×Dic6C2311yescharacteristic
266C3×#123—24no—
267C3×#123—24no—
268C3×#123—24no—
269C3×#123—24no—
270C3×#121—24no—
271C3×#121—24no—
272C3×#121—24no—
273C3×#121—24no—
274C3×#120—24no—
275C3×#120—24no—
276C3×#120—24no—
277C3×#120—24no—
278C2×C3×C4⋊C4C2311yescharacteristic
279C2×C3×C4⋊C4C2311yescharacteristic
280C2×C3×C4⋊C4C2311yescharacteristic
281C2×C3×C4⋊C4C2311yescharacteristic
282C2×C3×C22⋊C4—24no—
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×C22⋊C4C2311yescharacteristic
292C2×C3×C22⋊C4C2311yescharacteristic
293C2×C3×C22⋊C4C2311yescharacteristic
294C2×C3×C22⋊C4C2311yescharacteristic
295#953—24no—
296#953—24no—
297#953—42no—
298C2×#217—24no—
299C2×#217—24no—
300C2×#217—42no—
301C2×#217—42no—
302C2×#217C2311yescharacteristic
303C2×#217C2311yescharacteristic
304C2×#217C2311yescharacteristic
305C2×#217C2311yescharacteristic
306C2×#217C2311yescharacteristic
307C2×#217C2311yescharacteristic
308C2×#217C2311yescharacteristic
309C2×#217C2311yescharacteristic
310C2×#217C2311yescharacteristic
311C2×#217C2311yescharacteristic
312C2×#217C2311yescharacteristic
313C2×#217C2311yescharacteristic
314C2×#217C2311yescharacteristic
315C2×#217C2311yescharacteristic
316C2×#217C2311yescharacteristic
317C2×#217C2311yescharacteristic
318C2×#217C2311yescharacteristic
319C2×#217C2311yescharacteristic
320C2×#217C2311yescharacteristic
321C2×#217C2311yescharacteristic
322C2×#217C2311yescharacteristic
323C2×#217C2311yescharacteristic
324C2×#217C2311yescharacteristic
325C2×#217C2311yescharacteristic
326C2×#217C2311yescharacteristic
327C2×#217C2311yescharacteristic
328C2×#217C2311yescharacteristic
329C2×#217C2311yescharacteristic
330C2×#217C2311yescharacteristic
331C2×#217C2311yescharacteristic
332C2×#217C2311yescharacteristic
333C2×#217C2311yescharacteristic
334C2×#217C2311yescharacteristic
335C2×#217C2311yescharacteristic
336C2×#217C2311yescharacteristic
337C2×#217C2311yescharacteristic
338C2×#217C2311yescharacteristic
339C2×#217C2311yescharacteristic
340C2×#217C2311yescharacteristic
341C2×#217C2311yescharacteristic
342C2×#217C2311yescharacteristic
343#939—24no—
344#939—24no—
345#939—42no—
346#939—42no—
347#939—42no—
348#938—24no—
349#936—24no—
350#935—24no—
351#935—24no—
352#935—42no—
353#935—42no—
354#935—42no—
355D4×Dic3—24no—
356D4×Dic3—42no—
357D4×Dic3—42no—
358C4×#67—24no—
359C2×(C2×D3)⋊C4C2311yescharacteristic
360C2×(C2×D3)⋊C4C2311yescharacteristic
361C2×(C2×D3)⋊C4C2311yescharacteristic
362C2×(C2×D3)⋊C4C2311yescharacteristic
363C2×(C2×D3)⋊C4C2311yescharacteristic
364C2×(C2×D3)⋊C4C2311yescharacteristic
365C2×(C2×D3)⋊C4C2311yescharacteristic
366C2×C4⋊Dic3C2311yescharacteristic
367C2×C4⋊Dic3C2311yescharacteristic
368C2×C4⋊Dic3C2311yescharacteristic
369#924—24no—
370C2×Dic3⋊C4—42no—
371C2×Dic3⋊C4C2311yescharacteristic
372C2×Dic3⋊C4C2311yescharacteristic
373C2×Dic3⋊C4C2311yescharacteristic
374C2×Dic3⋊C4C2311yescharacteristic
375C2×Dic3⋊C4C2311yescharacteristic
376C2×Dic3⋊C4C2311yescharacteristic
377C2×Dic3⋊C4C2311yescharacteristic
378C2×Dic3⋊C4C2311yescharacteristic
379C2×Dic3⋊C4C2311yescharacteristic
380C2×Dic3⋊C4C2311yescharacteristic
381C2×Dic3⋊C4C2311yescharacteristic
382C2×Dic3⋊C4C2311yescharacteristic
383C2×Dic3⋊C4C2311yescharacteristic
384C2×Dic3⋊C4C2311yescharacteristic
385C2×Dic3⋊C4C2311yescharacteristic
386C2×Dic3⋊C4C2311yescharacteristic
387C2×Dic3⋊C4C2311yescharacteristic
388C2×C4×Dic3C2311yescharacteristic
389C2×C4×Dic3C2311yescharacteristic
390C2×C4×Dic3C2311yescharacteristic
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—
424C23×D4C2×D311yescharacteristic
425C23×D4C2×D311yescharacteristic
426#546—68no—
427#534—28no—
428C2×#124—31no—
429C2×#123—31no—
430C2×#123—31no—
431C2×#123—31no—
432C2×#123—31no—
433C2×#123—31no—
434C2×#123C2×D311yescharacteristic
435C2×#123C2×D311yescharacteristic
436C2×#123C2×D311yescharacteristic
437C2×#123C2×D311yescharacteristic
438C2×C22⋊Q8—31no—
439C2×#121—31no—
440C2×#121—31no—
441C2×#121—31no—
442C2×#121—31no—
443C2×#121—31no—
444C2×#121—31no—
445C2×#121C2×D311yescharacteristic
446C2×#121C2×D311yescharacteristic
447C2×#121C2×D311yescharacteristic
448C2×#121C2×D311yescharacteristic
449C2×#120—31no—
450C2×#120—31no—
451C2×#120—31no—
452C2×#120C2×D311yescharacteristic
453C2×#120C2×D311yescharacteristic
454C2×#120C2×D311yescharacteristic
455C2×#120C2×D311yescharacteristic
456C2×C4×D4—31no—
457C2×C4×D4—31no—
458C2×C4×D4—31no—
459C2×C4×D4—31no—
460C22×C4⋊C4—31no—
461C22×C22⋊C4—31no—
462C22×C22⋊C4—31no—
463C22×C22⋊C4—31no—
464C22×C22⋊C4—31no—
465C22×C22⋊C4C2×D311yescharacteristic
466#400—31no—
467#399—31no—
468#398—31no—
469#398—31no—
470#398—31no—
471#398—31no—
472#397—31no—
473#397—31no—
474#397—31no—
475#397—31no—
476#397—31no—
477#397—31no—
478#397—31no—
479#397—31no—
480#397—31no—
481#397—31no—
482#397—31no—
483#397—31no—
484#397—31no—
485#397—31no—
486#397—31no—
487#397—31no—
488#397—31no—
489#397—31no—
490#396—31no—
491#396—31no—
492#396—31no—
493#396—31no—
494#395—31no—
495#395—31no—
496#394—31no—
497#394—31no—
498#394—31no—
499#394—31no—
500#394—31no—
501#394—31no—
502#394—31no—
503#394—31no—
504#394—31no—
505#394—31no—
506#394—31no—
507#394—31no—
508#394—31no—
509#394—31no—
510#394—31no—
511#394—31no—
512#394—31no—
513#394—31no—
514#394—31no—
515#393—31no—
516#393—31no—
517#392—31no—
518#392—31no—
519#392—31no—
520#392—31no—
521#392—31no—
522#390—31no—
523#390—31no—
524#390—31no—
525#389—31no—
526#389—31no—
527#389—31no—
528#388—31no—
529#388—31no—
530#388—31no—
531#388—31no—
532#388—31no—
533#388—31no—
534#387—31no—
535#387—31no—
536#386—31no—
537#386—31no—
538#386—31no—
539#386—31no—
540#386—31no—
541#386—31no—
542#386—31no—
543#386—31no—
544#386—31no—
545#386—31no—
546#386—31no—
547#386—31no—
548#386—31no—
549#386—31no—
550#386—31no—
551#386—31no—
552#386—31no—
553#386—31no—
554#386—31no—
555#386—31no—
556#385—31no—
557#385—31no—
558#385—31no—
559#385—31no—
560#385—31no—
561#385—31no—
562#385—31no—
563#385—31no—
564#385—31no—
565#385—31no—
566#381—31no—
567#380—31no—
568#380—31no—
569#380—31no—
570#380—31no—
571#379—31no—
572#379—31no—
573#379—31no—
574#379—31no—
575#379—31no—
576C4×C22⋊C4—31no—
577C2×#95—31no—
578C2×#95—31no—
579C2×#95—31no—
580C24×C3—22no—
581C24×C3—22no—
582C24×C3—22no—
583C24×C3—41no—
584C24×C3—41no—
585C24×C3—41no—
586C24×C3—41no—
587C24×C3—41no—
588C24×C3—41no—
589C24×C3—41no—
590C24×C3—41no—
591C24×C3—41no—
592C24×C3—41no—
593C24×C3—41no—
594C24×C3—41no—
595C24×C3—41no—
596C24×C3—41no—
597C24×C3—41no—
598C24×C3—41no—
599C24×C3C2×D414yes—
600C24×C3C2×D414yes—
601C24×C3C2411yescharacteristic
602C24×C3C2411yescharacteristic
603C24×C3C2411yescharacteristic
604C24×C3C2411yescharacteristic
605C24×C3C2411yescharacteristic
606C24×C3C2411yescharacteristic
607C24×C3C2411yescharacteristic
608C23×D3C2411yescharacteristic
609C2×C3×D4—22no—
610C2×C3×D4—22no—
611C2×C3×D4—22no—
612C2×C3×D4—22no—
613C2×C3×D4—22no—
614C2×C3×D4—22no—
615C2×C3×D4—22no—
616C2×C3×D4—22no—
617C2×C3×D4—22no—
618C2×C3×D4—22no—
619C2×C3×D4—22no—
620C2×C3×D4—22no—
621C2×C3×D4—22no—
622C2×C3×D4—22no—
623C2×C3×D4—22no—
624C2×C3×D4—22no—
625C2×C3×D4—41no—
626C2×C3×D4—41no—
627C2×C3×D4—41no—
628C2×C3×D4—41no—
629C2×C3×D4—41no—
630C2×C3×D4—41no—
631C2×C3×D4—41no—
632C2×C3×D4—41no—
633C2×C3×D4—41no—
634C2×C3×D4—41no—
635C2×C3×D4—41no—
636C2×C3×D4—41no—
637C2×C3×D4—41no—
638C2×C3×D4—41no—
639C2×C3×D4—41no—
640C2×C3×D4—41no—
641C2×C3×D4—416no—
642C2×C3×D4—416no—
643C2×C3×D4C2×D414yes—
644C2×C3×D4C2×D414yes—
645C2×C3×D4C2×D414yes—
646C2×C3×D4C2×D414yes—
647C22×C3×C4—22no—
648C22×C3×C4—22no—
649C22×C3×C4—22no—
650C22×C3×C4—41no—
651C22×C3×C4—41no—
652C22×C3×C4—41no—
653C22×C3×C4—41no—
654C22×C3×C4—41no—
655C22×C3×C4—41no—
656C22×C3×C4—41no—
657C22×C3×C4—41no—
658C22×C3×C4C2×D414yes—
659C22×C3×C4C2411yescharacteristic
660C22×C3×C4C2411yescharacteristic
661C22×C3×C4C2411yescharacteristic
662C22×C3×C4C2411yescharacteristic
663C22×C3×C4C2411yescharacteristic
664C22×C3×C4C2411yescharacteristic
665C22×C3×C4C2411yescharacteristic
666C22×C3×C4C2411yescharacteristic
667C2×#67—22no—
668C2×#67—22no—
669C2×#67—22no—
670C2×#67—22no—
671C2×#67—22no—
672C2×#67—22no—
673C2×#67—22no—
674C2×#67—22no—
675C2×#67—41no—
676C2×#67—41no—
677C2×#67—41no—
678C2×#67—41no—
679C2×#67—41no—
680C2×#67—41no—
681C2×#67—41no—
682C2×#67—41no—
683C2×#67—41no—
684C2×#67—41no—
685C2×#67—41no—
686C2×#67—41no—
687C2×#67—41no—
688C22×Dic3—22no—
689C22×Dic3—22no—
690C22×Dic3—22no—
691C22×Dic3—22no—
692C22×Dic3—22no—
693C22×Dic3—22no—
694C22×Dic3—22no—
695C22×Dic3—22no—
696C22×Dic3—22no—
697C22×Dic3—22no—
698C22×Dic3—41no—
699C22×Dic3—41no—
700C22×Dic3—41no—
701C22×Dic3—41no—
702C22×Dic3—41no—
703C22×Dic3—41no—
704C22×Dic3—41no—
705C22×Dic3—41no—
706C22×Dic3—41no—
707C22×Dic3—41no—
708C22×Dic3—41no—
709C22×Dic3—41no—
710C22×Dic3—41no—
711C22×Dic3—41no—
712C22×Dic3C2411yescharacteristic
713C22×Dic3C2411yescharacteristic
714C22×Dic3C2411yescharacteristic
715C22×Dic3C2411yescharacteristic
716C22×Dic3C2411yescharacteristic
717C22×Dic3C2411yescharacteristic
718C22×Dic3C2411yescharacteristic
719C22×Dic3C2411yescharacteristic
720C22×Dic3C2411yescharacteristic
721C22×Dic3C2411yescharacteristic
722C22×Dic3C2411yescharacteristic
723C22×Dic3C2411yescharacteristic
724C22×Dic3C2411yescharacteristic
725C22×Dic3C2411yescharacteristic
726C22×Dic3C2411yescharacteristic
727#237—416no—
728C2×C4×D3—22no—
729C2×C4×D3—41no—
730C2×C4×D3—41no—
731C2×Dic6—22no—
732C2×Dic6—41no—
733C2×Dic6—41no—
734C3×C4⋊C4—22no—
735C3×C4⋊C4—22no—
736C3×C4⋊C4—22no—
737C3×C4⋊C4—22no—
738C3×C22⋊C4—22no—
739C3×C22⋊C4—22no—
740C3×C22⋊C4—22no—
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—22no—
748C3×C22⋊C4—22no—
749C3×C22⋊C4—22no—
750#217—22no—
751#217—22no—
752#217—22no—
753#217—22no—
754#217—22no—
755#217—22no—
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—22no—
765#217—22no—
766#217—22no—
767#217—41no—
768#217—41no—
769#217—41no—
770#217—41no—
771#217—41no—
772#217—41no—
773#217—41no—
774#217—41no—
775#217—41no—
776#217—41no—
777#217—41no—
778#217—41no—
779#217—41no—
780#217—41no—
781#217—41no—
782#217—41no—
783#217—41no—
784#217—41no—
785#217—41no—
786#217—41no—
787#217—41no—
788#217—41no—
789#217—41no—
790#217—41no—
791(C2×D3)⋊C4—22no—
792(C2×D3)⋊C4—41no—
793(C2×D3)⋊C4—41no—
794(C2×D3)⋊C4—41no—
795(C2×D3)⋊C4—41no—
796(C2×D3)⋊C4—41no—
797(C2×D3)⋊C4—41no—
798C4⋊Dic3—22no—
799C4⋊Dic3—41no—
800C4⋊Dic3—41no—
801Dic3⋊C4—22no—
802Dic3⋊C4—22no—
803Dic3⋊C4—22no—
804Dic3⋊C4—22no—
805Dic3⋊C4—22no—
806Dic3⋊C4—41no—
807Dic3⋊C4—41no—
808Dic3⋊C4—41no—
809Dic3⋊C4—41no—
810Dic3⋊C4—41no—
811Dic3⋊C4—41no—
812Dic3⋊C4—41no—
813Dic3⋊C4—41no—
814Dic3⋊C4—41no—
815Dic3⋊C4—41no—
816Dic3⋊C4—41no—
817Dic3⋊C4—41no—
818C4×Dic3—22no—
819C4×Dic3—41no—
820C4×Dic3—41no—
821C25C22×D311yescharacteristic
822C25C22×D311yescharacteristic
823C25C22×D311yescharacteristic
824C2×#41—64no—
825C2×#41—122no—
826C2×#41—122no—
827C22×Q8—31no—
828C22×D4—24no—
829C22×D4—31no—
830C22×D4—31no—
831C22×D4—31no—
832C22×D4—31no—
833C22×D4—31no—
834C22×D4—31no—
835C22×D4—31no—
836C22×D4—42no—
837C22×D4—42no—
838C22×D4—42no—
839C22×D4—42no—
840C22×D4#6718yescomplemented
841C22×D4C22×D311yescharacteristic
842C22×D4C22×D311yescharacteristic
843C22×D4C22×D311yescharacteristic
844C22×D4C22×D311yescharacteristic
845C22×D4C22×D311yescharacteristic
846C22×D4C22×D311yescharacteristic
847C22×D4C22×D311yescharacteristic
848C22×D4C22×D311yescharacteristic
849C22×D4C22×D311yescharacteristic
850C22×D4C22×D311yescharacteristic
851C22×D4C22×D311yescharacteristic
852C22×D4C22×D311yescharacteristic
853C23×C4—31no—
854C23×C4—31no—
855C23×C4—31no—
856C23×C4—31no—
857C23×C4—31no—
858C23×C4—31no—
859C23×C4—31no—
860C23×C4—31no—
861C23×C4—31no—
862C23×C4C22×D311yescharacteristic
863C23×C4C22×D311yescharacteristic
864C23×C4C22×D311yescharacteristic
865C23×C4C22×D311yescharacteristic
866#124—64no—
867#123—24no—
868#123—24no—
869#123—24no—
870#123—24no—
871#123—64no—
872#123—64no—
873#123—122no—
874#123—122no—
875#123—122no—
876C22⋊Q8—64no—
877#121—24no—
878#121—24no—
879#121—24no—
880#121—24no—
881#121—64no—
882#121—64no—
883#121—64no—
884#121—122no—
885#121—122no—
886#121—122no—
887#120—24no—
888#120—24no—
889#120—24no—
890#120—24no—
891#120—64no—
892#120—64no—
893#120—122no—
894C4×D4—64no—
895C4×D4—64no—
896C4×D4—122no—
897C4×D4—122no—
898C2×C4⋊C4—31no—
899C2×C4⋊C4—31no—
900C2×C4⋊C4—31no—
901C2×C4⋊C4—31no—
902C2×C4⋊C4—31no—
903C2×C4⋊C4—31no—
904C2×C4⋊C4—31no—
905C2×C4⋊C4—31no—
906C2×C4⋊C4—31no—
907C2×C4⋊C4—31no—
908C2×C4⋊C4—31no—
909C2×C4⋊C4—31no—
910C2×C4⋊C4—31no—
911C2×C4⋊C4—31no—
912C2×C4⋊C4—31no—
913C2×C4⋊C4—31no—
914C2×C4⋊C4—31no—
915C2×C4⋊C4—31no—
916C2×C4⋊C4—31no—
917C2×C4⋊C4—31no—
918C2×C4⋊C4—122no—
919C2×C4⋊C4C22×D311yescharacteristic
920C2×C4⋊C4C22×D311yescharacteristic
921C2×C4⋊C4C22×D311yescharacteristic
922C2×C4⋊C4C22×D311yescharacteristic
923C2×C22⋊C4—24no—
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—31no—
947C2×C22⋊C4—31no—
948C2×C22⋊C4—31no—
949C2×C22⋊C4—31no—
950C2×C22⋊C4—31no—
951C2×C22⋊C4—31no—
952C2×C22⋊C4—31no—
953C2×C22⋊C4—31no—
954C2×C22⋊C4—31no—
955C2×C22⋊C4—31no—
956C2×C22⋊C4—31no—
957C2×C22⋊C4—31no—
958C2×C22⋊C4—31no—
959C2×C22⋊C4—31no—
960C2×C22⋊C4—31no—
961C2×C22⋊C4—31no—
962C2×C22⋊C4—31no—
963C2×C22⋊C4—31no—
964C2×C22⋊C4—31no—
965C2×C22⋊C4—31no—
966C2×C22⋊C4—31no—
967C2×C22⋊C4—31no—
968C2×C22⋊C4—31no—
969C2×C22⋊C4—31no—
970C2×C22⋊C4—31no—
971C2×C22⋊C4—31no—
972C2×C22⋊C4—64no—
973C2×C22⋊C4—64no—
974C2×C22⋊C4—122no—
975C2×C22⋊C4—122no—
976C2×C22⋊C4C22×D311yescharacteristic
977C2×C22⋊C4C22×D311yescharacteristic
978C2×C22⋊C4C22×D311yescharacteristic
979C2×C22⋊C4C22×D311yescharacteristic
980C2×C22⋊C4C22×D311yescharacteristic
981C2×C22⋊C4C22×D311yescharacteristic
982C2×C22⋊C4C22×D311yescharacteristic
983C2×C22⋊C4C22×D311yescharacteristic
984C2×C22⋊C4C22×D311yescharacteristic
985C2×C22⋊C4C22×D311yescharacteristic
986C2×C22⋊C4C22×D311yescharacteristic
987C2×C22⋊C4C22×D311yescharacteristic
988C2×C42—31no—
989C2×C42—31no—
990C2×C42—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#95—31no—
1007#95—31no—
1008#95—31no—
1009#95—31no—
1010#95—31no—
1011#95—31no—
1012#95—31no—
1013#95—31no—
1014#95—31no—
1015#95—31no—
1016#95—31no—
1017#95—31no—
1018#95—31no—
1019#95—31no—
1020#95—31no—
1021#95—31no—
1022#95—31no—
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×C3—21no—
1041C23×C3—21no—
1042C23×C3—21no—
1043C23×C3—21no—
1044C23×C3—21no—
1045C23×C3—21no—
1046C23×C3—21no—
1047C23×C3—21no—
1048C23×C3—21no—
1049C23×C3—21no—
1050C23×C3—21no—
1051C23×C3—28no—
1052C23×C3—21no—
1053C23×C3—21no—
1054C23×C3—21no—
1055C23×C3—21no—
1056C23×C3—21no—
1057C23×C3—21no—
1058C23×C3—21no—
1059C23×C3—21no—
1060C23×C3—21no—
1061C23×C3—21no—
1062C23×C3—21no—
1063C23×C3—21no—
1064C23×C3—21no—
1065C23×C3—21no—
1066C23×C3—44no—
1067C23×C3—44no—
1068C23×C3—44no—
1069C23×C3—44no—
1070C23×C3—44no—
1071C23×C3—44no—
1072C23×C3—82no—
1073C23×C3—82no—
1074C23×C3—82no—
1075C23×C3—82no—
1076C23×C3—82no—
1077C23×C3—82no—
1078C23×C3—82no—
1079C23×C3—82no—
1080C23×C3—82no—
1081C23×C3—82no—
1082C23×C3—82no—
1083C23×C3—82no—
1084C23×C3—82no—
1085C23×C3—82no—
1086C23×C3C22×D412yes—
1087C23×C3C22×D412yes—
1088C23×C3C22×D412yes—
1089C23×C3C22×D412yes—
1090C23×C3C22×D412yes—
1091C23×C3H(5,𝔽2)12yes—
1092C23×C3H(5,𝔽2)12yes—
1093C23×C3C2511yescharacteristic
1094C22×D3—21no—
1095C22×D3—21no—
1096C22×D3—21no—
1097C22×D3—21no—
1098C22×D3—21no—
1099C22×D3—21no—
1100C22×D3—21no—
1101C3×D4—28no—
1102C3×D4—28no—
1103C3×D4—44no—
1104C3×D4—44no—
1105C3×D4—44no—
1106C3×D4—44no—
1107C3×D4—44no—
1108C3×D4—44no—
1109C3×D4—82no—
1110C3×D4—82no—
1111C3×D4—82no—
1112C3×D4—82no—
1113C2×C3×C4—21no—
1114C2×C3×C4—21no—
1115C2×C3×C4—21no—
1116C2×C3×C4—21no—
1117C2×C3×C4—21no—
1118C2×C3×C4—21no—
1119C2×C3×C4—21no—
1120C2×C3×C4—21no—
1121C2×C3×C4—21no—
1122C2×C3×C4—21no—
1123C2×C3×C4—21no—
1124C2×C3×C4—21no—
1125C2×C3×C4—21no—
1126C2×C3×C4—21no—
1127C2×C3×C4—21no—
1128C2×C3×C4—21no—
1129C2×C3×C4—21no—
1130C2×C3×C4—21no—
1131C2×C3×C4—21no—
1132C2×C3×C4—21no—
1133C2×C3×C4—21no—
1134C2×C3×C4—21no—
1135C2×C3×C4—44no—
1136C2×C3×C4—44no—
1137C2×C3×C4—82no—
1138C2×C3×C4—82no—
1139C2×C3×C4C22×D412yes—
1140C2×C3×C4C22×D412yes—
1141#67—44no—
1142#67—44no—
1143#67—44no—
1144#67—82no—
1145#67—82no—
1146#67—82no—
1147#67—82no—
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—21no—
1164C2×Dic3—21no—
1165C2×Dic3—21no—
1166C2×Dic3—21no—
1167C2×Dic3—21no—
1168C2×Dic3—21no—
1169C2×Dic3—21no—
1170C2×Dic3—21no—
1171C2×Dic3—21no—
1172C2×Dic3—21no—
1173C2×Dic3—21no—
1174C2×Dic3—21no—
1175C2×Dic3—21no—
1176C2×Dic3—21no—
1177C2×Dic3—21no—
1178C2×Dic3—21no—
1179C2×Dic3—21no—
1180C2×Dic3—21no—
1181C2×Dic3—21no—
1182C2×Dic3—21no—
1183C2×Dic3—21no—
1184C2×Dic3—21no—
1185C2×Dic3—21no—
1186C2×Dic3—21no—
1187C2×Dic3—21no—
1188C2×Dic3—21no—
1189C2×Dic3—21no—
1190C2×Dic3—21no—
1191C2×Dic3—21no—
1192C2×Dic3—44no—
1193C2×Dic3—44no—
1194C2×Dic3—44no—
1195C2×Dic3—82no—
1196C2×Dic3—82no—
1197C2×Dic3—82no—
1198C2×Dic3—82no—
1199C2×Dic3—82no—
1200C2×Dic3H(5,𝔽2)12yes—
1201C4×D3—44no—
1202Dic6—44no—
1203C24—22no—
1204C24—22no—
1205C24—22no—
1206C24—31no—
1207C24—41no—
1208C24—41no—
1209C24—41no—
1210C24—41no—
1211C24—41no—
1212C24—41no—
1213C24—41no—
1214C24—41no—
1215C24—41no—
1216C24—41no—
1217C24—41no—
1218C24—41no—
1219C24—41no—
1220C24—41no—
1221C24—41no—
1222C24—41no—
1223C24C2×#6714yes—
1224C24C2×#6714yes—
1225C24C23×D311yescharacteristic
1226C24C23×D311yescharacteristic
1227C24C23×D311yescharacteristic
1228C24C23×D311yescharacteristic
1229C24C23×D311yescharacteristic
1230C24C23×D311yescharacteristic
1231C24C23×D311yescharacteristic
1232#41—1216no—
1233C2×Q8—62no—
1234C2×Q8—121no—
1235C2×Q8—121no—
1236C2×D4—22no—
1237C2×D4—22no—
1238C2×D4—22no—
1239C2×D4—22no—
1240C2×D4—22no—
1241C2×D4—22no—
1242C2×D4—22no—
1243C2×D4—22no—
1244C2×D4—22no—
1245C2×D4—22no—
1246C2×D4—22no—
1247C2×D4—22no—
1248C2×D4—22no—
1249C2×D4—22no—
1250C2×D4—22no—
1251C2×D4—22no—
1252C2×D4—41no—
1253C2×D4—41no—
1254C2×D4—41no—
1255C2×D4—41no—
1256C2×D4—41no—
1257C2×D4—41no—
1258C2×D4—41no—
1259C2×D4—41no—
1260C2×D4—41no—
1261C2×D4—41no—
1262C2×D4—41no—
1263C2×D4—41no—
1264C2×D4—41no—
1265C2×D4—41no—
1266C2×D4—41no—
1267C2×D4—41no—
1268C2×D4—416no—
1269C2×D4—416no—
1270C2×D4—62no—
1271C2×D4—62no—
1272C2×D4—62no—
1273C2×D4—62no—
1274C2×D4—62no—
1275C2×D4—62no—
1276C2×D4—62no—
1277C2×D4—62no—
1278C2×D4—121no—
1279C2×D4—121no—
1280C2×D4—121no—
1281C2×D4—121no—
1282C2×D4—121no—
1283C2×D4—121no—
1284C2×D4—121no—
1285C2×D4—121no—
1286C2×D4—121no—
1287C2×D4—121no—
1288C2×D4—121no—
1289C2×D4—121no—
1290C2×D4—121no—
1291C2×D4C2×#6714yes—
1292C2×D4C2×#6714yes—
1293C2×D4C2×#6714yes—
1294C2×D4C2×#6714yes—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—22no—
1298C22×C4—31no—
1299C22×C4—31no—
1300C22×C4—31no—
1301C22×C4—31no—
1302C22×C4—31no—
1303C22×C4—31no—
1304C22×C4—31no—
1305C22×C4—31no—
1306C22×C4—31no—
1307C22×C4—31no—
1308C22×C4—31no—
1309C22×C4—31no—
1310C22×C4—31no—
1311C22×C4—31no—
1312C22×C4—31no—
1313C22×C4—41no—
1314C22×C4—41no—
1315C22×C4—41no—
1316C22×C4—41no—
1317C22×C4—41no—
1318C22×C4—41no—
1319C22×C4—41no—
1320C22×C4—41no—
1321C22×C4—62no—
1322C22×C4—62no—
1323C22×C4—62no—
1324C22×C4—62no—
1325C22×C4—62no—
1326C22×C4—62no—
1327C22×C4—62no—
1328C22×C4—62no—
1329C22×C4—62no—
1330C22×C4—62no—
1331C22×C4—62no—
1332C22×C4—121no—
1333C22×C4—121no—
1334C22×C4—121no—
1335C22×C4—121no—
1336C22×C4—121no—
1337C22×C4—121no—
1338C22×C4—121no—
1339C22×C4—121no—
1340C22×C4—121no—
1341C22×C4—121no—
1342C22×C4—121no—
1343C22×C4—121no—
1344C22×C4—121no—
1345C22×C4—121no—
1346C22×C4—121no—
1347C22×C4—121no—
1348C22×C4C2×#6714yes—
1349C22×C4C23×D311yescharacteristic
1350C22×C4C23×D311yescharacteristic
1351C22×C4C23×D311yescharacteristic
1352C22×C4C23×D311yescharacteristic
1353C22×C4C23×D311yescharacteristic
1354C22×C4C23×D311yescharacteristic
1355C22×C4C23×D311yescharacteristic
1356C22×C4C23×D311yescharacteristic
1357C4⋊C4—22no—
1358C4⋊C4—22no—
1359C4⋊C4—22no—
1360C4⋊C4—22no—
1361C4⋊C4—62no—
1362C4⋊C4—62no—
1363C4⋊C4—62no—
1364C4⋊C4—62no—
1365C4⋊C4—62no—
1366C4⋊C4—62no—
1367C4⋊C4—121no—
1368C4⋊C4—121no—
1369C4⋊C4—121no—
1370C4⋊C4—121no—
1371C4⋊C4—121no—
1372C4⋊C4—121no—
1373C4⋊C4—121no—
1374C4⋊C4—121no—
1375C4⋊C4—121no—
1376C4⋊C4—121no—
1377C4⋊C4—121no—
1378C4⋊C4—121no—
1379C4⋊C4—121no—
1380C4⋊C4—121no—
1381C22⋊C4—22no—
1382C22⋊C4—22no—
1383C22⋊C4—22no—
1384C22⋊C4—22no—
1385C22⋊C4—22no—
1386C22⋊C4—22no—
1387C22⋊C4—22no—
1388C22⋊C4—22no—
1389C22⋊C4—22no—
1390C22⋊C4—22no—
1391C22⋊C4—22no—
1392C22⋊C4—22no—
1393C22⋊C4—62no—
1394C22⋊C4—62no—
1395C22⋊C4—62no—
1396C22⋊C4—62no—
1397C22⋊C4—62no—
1398C22⋊C4—62no—
1399C22⋊C4—62no—
1400C22⋊C4—62no—
1401C22⋊C4—62no—
1402C22⋊C4—62no—
1403C22⋊C4—62no—
1404C22⋊C4—62no—
1405C22⋊C4—62no—
1406C22⋊C4—62no—
1407C22⋊C4—62no—
1408C22⋊C4—62no—
1409C22⋊C4—62no—
1410C22⋊C4—62no—
1411C22⋊C4—121no—
1412C22⋊C4—121no—
1413C22⋊C4—121no—
1414C22⋊C4—121no—
1415C22⋊C4—121no—
1416C22⋊C4—121no—
1417C22⋊C4—121no—
1418C22⋊C4—121no—
1419C22⋊C4—121no—
1420C22⋊C4—121no—
1421C22⋊C4—121no—
1422C22⋊C4—121no—
1423C22⋊C4—121no—
1424C22⋊C4—121no—
1425C22⋊C4—121no—
1426C22⋊C4—121no—
1427C22⋊C4—121no—
1428C22⋊C4—121no—
1429C22⋊C4—121no—
1430C22⋊C4—121no—
1431C22⋊C4—121no—
1432C22⋊C4—121no—
1433C22⋊C4—121no—
1434C22⋊C4—121no—
1435C22⋊C4—121no—
1436C22⋊C4—121no—
1437C22⋊C4—121no—
1438C22⋊C4—121no—
1439C22⋊C4—121no—
1440C22⋊C4—121no—
1441C42—62no—
1442C42—121no—
1443C42—121no—
1444C22×C3—22no—
1445C22×C3—22no—
1446C22×C3—22no—
1447C22×C3—22no—
1448C22×C3—22no—
1449C22×C3—22no—
1450C22×C3—22no—
1451C22×C3—22no—
1452C22×C3—22no—
1453C22×C3—22no—
1454C22×C3—22no—
1455C22×C3—22no—
1456C22×C3—22no—
1457C22×C3—22no—
1458C22×C3—22no—
1459C22×C3—22no—
1460C22×C3—22no—
1461C22×C3—22no—
1462C22×C3—41no—
1463C22×C3—41no—
1464C22×C3—41no—
1465C22×C3—41no—
1466C22×C3—41no—
1467C22×C3—41no—
1468C22×C3—41no—
1469C22×C3—41no—
1470C22×C3—41no—
1471C22×C3—41no—
1472C22×C3—41no—
1473C22×C3—41no—
1474C22×C3—41no—
1475C22×C3—41no—
1476C22×C3—41no—
1477C22×C3—41no—
1478C22×C3—41no—
1479C22×C3—41no—
1480C22×C3—41no—
1481C22×C3—41no—
1482C22×C3—41no—
1483C22×C3—41no—
1484C22×C3—41no—
1485C22×C3—41no—
1486C22×C3—41no—
1487C22×C3—41no—
1488C22×C3—41no—
1489C22×C3—41no—
1490C22×C3—41no—
1491C22×C3—41no—
1492C22×C3—88no—
1493C22×C3—88no—
1494C22×C3—88no—
1495C22×C3#53414yes—
1496C22×C3C23×D411yescharacteristic
1497C22×C3C2×H(5,𝔽2)11yescharacteristic
1498C22×C3C2×H(5,𝔽2)11yescharacteristic
1499C22×C3C2×H(5,𝔽2)11yescharacteristic
1500C22×C3#58511yescharacteristic
1501C22×C3#58511yescharacteristic
1502C22×C3#58511yescharacteristic
1503C2×D3—41no—
1504C2×D3—41no—
1505C2×D3—41no—
1506C2×D3—41no—
1507C2×D3—41no—
1508C2×D3—41no—
1509C2×D3—41no—
1510C3×C4—22no—
1511C3×C4—22no—
1512C3×C4—41no—
1513C3×C4—41no—
1514C3×C4—41no—
1515C3×C4—41no—
1516C3×C4—41no—
1517C3×C4—41no—
1518Dic3—22no—
1519Dic3—41no—
1520Dic3—41no—
1521Dic3—41no—
1522Dic3—41no—
1523Dic3—41no—
1524Dic3—41no—
1525Dic3—41no—
1526Dic3—41no—
1527Dic3—41no—
1528Dic3—41no—
1529Dic3—41no—
1530Dic3—41no—
1531Dic3—41no—
1532Dic3—41no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—28no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—44no—
1577C23—44no—
1578C23—44no—
1579C23—44no—
1580C23—44no—
1581C23—44no—
1582C23—61no—
1583C23—61no—
1584C23—61no—
1585C23—61no—
1586C23—61no—
1587C23—61no—
1588C23—61no—
1589C23—82no—
1590C23—82no—
1591C23—82no—
1592C23—82no—
1593C23—82no—
1594C23—82no—
1595C23—82no—
1596C23—82no—
1597C23—82no—
1598C23—82no—
1599C23—82no—
1600C23—82no—
1601C23—82no—
1602C23—82no—
1603C23#100412yes—
1604C23#100412yes—
1605C23C22×#6712yes—
1606C23C22×#6712yes—
1607C23C22×#6712yes—
1608C23C22×#6712yes—
1609C23C22×#6712yes—
1610C23C24×D311yescharacteristic
1611Q8—124no—
1612D4—28no—
1613D4—28no—
1614D4—44no—
1615D4—44no—
1616D4—44no—
1617D4—44no—
1618D4—44no—
1619D4—44no—
1620D4—82no—
1621D4—82no—
1622D4—82no—
1623D4—82no—
1624D4—124no—
1625D4—124no—
1626D4—124no—
1627D4—242no—
1628D4—242no—
1629D4—242no—
1630D4—242no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—32no—
1654C2×C4—44no—
1655C2×C4—44no—
1656C2×C4—61no—
1657C2×C4—61no—
1658C2×C4—61no—
1659C2×C4—61no—
1660C2×C4—61no—
1661C2×C4—61no—
1662C2×C4—61no—
1663C2×C4—61no—
1664C2×C4—61no—
1665C2×C4—61no—
1666C2×C4—61no—
1667C2×C4—61no—
1668C2×C4—61no—
1669C2×C4—61no—
1670C2×C4—61no—
1671C2×C4—61no—
1672C2×C4—61no—
1673C2×C4—61no—
1674C2×C4—61no—
1675C2×C4—61no—
1676C2×C4—61no—
1677C2×C4—61no—
1678C2×C4—61no—
1679C2×C4—61no—
1680C2×C4—61no—
1681C2×C4—61no—
1682C2×C4—61no—
1683C2×C4—61no—
1684C2×C4—61no—
1685C2×C4—61no—
1686C2×C4—61no—
1687C2×C4—61no—
1688C2×C4—61no—
1689C2×C4—61no—
1690C2×C4—61no—
1691C2×C4—61no—
1692C2×C4—61no—
1693C2×C4—61no—
1694C2×C4—61no—
1695C2×C4—61no—
1696C2×C4—61no—
1697C2×C4—61no—
1698C2×C4—61no—
1699C2×C4—61no—
1700C2×C4—82no—
1701C2×C4—82no—
1702C2×C4—124no—
1703C2×C4—124no—
1704C2×C4—124no—
1705C2×C4—124no—
1706C2×C4—242no—
1707C2×C4—242no—
1708C2×C4—242no—
1709C2×C4—242no—
1710C2×C4—242no—
1711C2×C4C22×#6712yes—
1712C2×C4C22×#6712yes—
1713C2×C3—24no—
1714C2×C3—42no—
1715C2×C3—42no—
1716C2×C3—42no—
1717C2×C3—42no—
1718C2×C3—81no—
1719C2×C3—81no—
1720C2×C3C2×#53411yescharacteristic
1721C2×C3#348511yescharacteristic
1722C2×C3#349611yescharacteristic
1723C2×C3#353411yescharacteristic
1724C2×C3#355811yescharacteristic
1725C2×C3#356011yescharacteristic
1726C2×C3#356011yescharacteristic
1727D3—81no—
1728C22—22no—
1729C22—22no—
1730C22—22no—
1731C22—22no—
1732C22—22no—
1733C22—22no—
1734C22—22no—
1735C22—22no—
1736C22—22no—
1737C22—22no—
1738C22—22no—
1739C22—22no—
1740C22—22no—
1741C22—22no—
1742C22—22no—
1743C22—22no—
1744C22—22no—
1745C22—22no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—41no—
1753C22—41no—
1754C22—41no—
1755C22—41no—
1756C22—41no—
1757C22—41no—
1758C22—41no—
1759C22—41no—
1760C22—41no—
1761C22—41no—
1762C22—41no—
1763C22—41no—
1764C22—41no—
1765C22—41no—
1766C22—41no—
1767C22—41no—
1768C22—41no—
1769C22—41no—
1770C22—41no—
1771C22—41no—
1772C22—41no—
1773C22—41no—
1774C22—41no—
1775C22—41no—
1776C22—88no—
1777C22—88no—
1778C22—88no—
1779C22—121no—
1780C22—121no—
1781C22—121no—
1782C22—121no—
1783C22—121no—
1784C22—121no—
1785C22—121no—
1786C22#580414yes—
1787C22C2×#100411yescharacteristic
1788C22C2×#100411yescharacteristic
1789C22D3×H(5,𝔽2)11yescharacteristic
1790C22#596611yescharacteristic
1791C22#596611yescharacteristic
1792C22#596611yescharacteristic
1793C22C23×#6711yescharacteristic
1794C4—22no—
1795C4—22no—
1796C4—41no—
1797C4—41no—
1798C4—41no—
1799C4—41no—
1800C4—41no—
1801C4—41no—
1802C4—62no—
1803C4—121no—
1804C4—121no—
1805C4—121no—
1806C4—121no—
1807C4—121no—
1808C4—121no—
1809C4—121no—
1810C4—121no—
1811C4—121no—
1812C4—121no—
1813C4—121no—
1814C4—121no—
1815C4—121no—
1816C4—121no—
1817C3#4051011yescharacteristic, complemented, Sylow
1818C2—24no—
1819C2—42no—
1820C2—42no—
1821C2—42no—
1822C2—42no—
1823C2—81no—
1824C2—81no—
1825C2—241no—
1826C2#8630511yescharacteristic
1827C2#8630611yescharacteristic
1828C2#8630611yescharacteristic
1829C2#8631211yescharacteristic
1830C2C2×#580411yescharacteristic
1831C2#8728011yescharacteristic
1832C2#8728111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC2×C3×#534C2
hypercenterC2×#534D3
hypocenterC3#40510
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×#534

Complements

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

NH ≅ G/Ntype
1. C2×C3×#534C2semidirect
2. C2×#5806C2semidirect
3. #84048C2semidirect
4. #84047C2semidirect
5. D4×#217C2semidirect
6. #82910C2semidirect
7. #82904C2semidirect
8. #82902C2semidirect
9. #82889C2semidirect
10. #82888C2semidirect
11. #82886C2semidirect
12. #82879C2semidirect
13. #82868C2semidirect
14. #82670C2semidirect
15. #82656C2semidirect
16. #82655C2semidirect
17. #82651C2semidirect
18. #82651C2semidirect
19. #82645C2semidirect
20. #82645C2semidirect
21. #82642C2semidirect
22. #82611C2semidirect
23. #82608C2semidirect
24. #82600C2semidirect
25. #82598C2semidirect
26. #82596C2semidirect
27. #82593C2semidirect
28. #82592C2semidirect
29. #82584C2semidirect
30. #82131C2semidirect
31. C2×#4952C2semidirect
35. C22×#237C22semidirect
51. C2×#953C22semidirect
52. C2×#953C22semidirect
55. C22×#217C22semidirect
56. C22×#217C22semidirect
59. C2×#939C22semidirect
60. C2×#939C22semidirect
61. C2×#939C22semidirect
62. C2×#939C22semidirect
66. C2×#935C22semidirect
67. C2×#935C22semidirect
68. C2×#935C22semidirect
69. C2×#935C22semidirect
70. C2×D4×Dic3C22semidirect
71. C2×D4×Dic3C22semidirect
72. C2×D4×Dic3C22semidirect
73. C2×C4×#67C22semidirect
74. C2×#924C22semidirect
75. C22×Dic3⋊C4C22semidirect
77. #5247C22semidirect
78. #5247C22semidirect
79. #5247C22semidirect
80. #5247C22semidirect
83. #5223C22semidirect
84. #5223C22semidirect
85. #5223C22semidirect
92. #5222C22semidirect
93. #5222C22semidirect
94. #5222C22semidirect
95. #5222C22semidirect
96. #5222C22semidirect
101. #5220C22semidirect
102. #5220C22semidirect
103. #5220C22semidirect
104. #5220C22semidirect
105. #5220C22semidirect
106. #5220C22semidirect
107. #5220C22semidirect
108. #5220C22semidirect
109. #5220C22semidirect
110. #5220C22semidirect
111. #5220C22semidirect
112. #5220C22semidirect
113. #5213C22semidirect
114. #5213C22semidirect
115. #5213C22semidirect
116. #5212C22semidirect
117. #5210C22semidirect
118. #5210C22semidirect
119. #5210C22semidirect
120. #5210C22semidirect
121. #5210C22semidirect
122. C4×#217C22semidirect
123. C2×C3⋊#95C22semidirect
124. C2×C3⋊#95C22semidirect
125. C2×C3⋊#95C22semidirect
126. #4994C22semidirect
127. #4990C22semidirect
128. #4989C22semidirect
129. #4989C22semidirect
130. #4986C22semidirect
131. #4982C22semidirect
132. #4982C22semidirect
133. #4982C22semidirect
134. #4981C22semidirect
135. #4979C22semidirect
136. #4979C22semidirect
137. #4978C22semidirect
138. #4978C22semidirect
139. #4976C22semidirect
140. #4976C22semidirect
141. #4976C22semidirect
142. #4961C22semidirect
143. #4959C22semidirect
144. #4959C22semidirect
145. #4959C22semidirect
146. #4959C22semidirect
147. #4959C22semidirect
148. #4959C22semidirect
149. #4959C22semidirect
150. #4958C22semidirect
151. #4957C22semidirect
152. #4956C22semidirect
153. #4956C22semidirect
154. #4953C22semidirect
155. #4952C22semidirect
156. #4952C22semidirect
157. #4952C22semidirect
158. #4952C22semidirect
159. #4952C22semidirect
160. #4952C22semidirect
161. #4952C22semidirect
162. #4952C22semidirect
163. #4952C22semidirect
164. #4952C22semidirect
165. #4952C22semidirect
166. #4952C22semidirect
167. #4952C22semidirect
168. #4952C22semidirect
169. #4952C22semidirect
170. #4952C22semidirect
171. #4952C22semidirect
172. #4949C22semidirect
173. #4948C22semidirect
174. #4948C22semidirect
175. #4948C22semidirect
176. #4947C22semidirect
177. #4947C22semidirect
178. #4946C22semidirect
179. #4946C22semidirect
180. #4946C22semidirect
181. #4945C22semidirect
182. #4945C22semidirect
183. #4945C22semidirect
184. #4944C22semidirect
185. #4944C22semidirect
186. #4943C22semidirect
187. #4942C22semidirect
188. #4942C22semidirect
189. #4942C22semidirect
191. C2×#534D3semidirect
229. C22×C3×D4D4semidirect
840. C22×D4#67semidirect
1817. C3#40510semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#5342
C2×#58062
#840482
#840472
D4×#2172
#829102
#829042
#829022
#828892
#828882
#828862
#828792
#828682
#826702
#826562
#826552
#826512
#826452
#826422
#826112
#826082
#826002
#825982
#825962
#825932
#825922
#825842
#821312
C2×#49522
#405103