Finite Group Databasebeta

← #11042418

Subgroups — #11042418

Order 768.

3124 conjugacy classes of subgroups.

The subgroup lattice has 1942 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5806C211yesmaximal, characteristic, complemented
2C2×#5606C211yesmaximal, characteristic, complemented
3C3×#2410C211yesmaximal, characteristic, complemented
4#84052C211yesmaximal, characteristic, complemented
5#82708C211yesmaximal, characteristic, complemented
6#82670C211yesmaximal, characteristic, complemented
7#82651C211yesmaximal, characteristic, complemented
8#82609C211yesmaximal, characteristic, complemented
9#82590C211yesmaximal, characteristic, complemented
10#82588C211yesmaximal, characteristic, complemented
11#82581C211yesmaximal, characteristic, complemented
12C2×#4956C211yesmaximal, characteristic, complemented
13#82111C211yesmaximal, characteristic, complemented
14#77026C211yesmaximal, characteristic, complemented
15#77003C211yesmaximal, characteristic, complemented
16#76979C211yesmaximal, characteristic, complemented
17#76969C211yesmaximal, characteristic, complemented
18#76768C211yesmaximal, characteristic, complemented
19#76723C211yesmaximal, characteristic, complemented
20#76701C211yesmaximal, characteristic, complemented
21#76672C211yesmaximal, characteristic, complemented
22#74935C211yesmaximal, characteristic, complemented
23#74885C211yesmaximal, characteristic, complemented
24#74808C211yesmaximal, characteristic, complemented
25#74740C211yesmaximal, characteristic, complemented
26#74674C211yesmaximal, characteristic, complemented
27#74667C211yesmaximal, characteristic, complemented
28#74516C211yesmaximal, characteristic, complemented
29#74496C211yesmaximal, characteristic, complemented
30#73858C211yesmaximal, characteristic, complemented
31#73821C211yesmaximal, characteristic, complemented
32#38358—31nomaximal, Sylow
33C23×C3×D4C2211yescharacteristic
34C23×#67C2211yescharacteristic
35C22×#237C2211yescharacteristic
36C22×#237C2211yescharacteristic, complemented
37C23×C4×D3C2211yescharacteristic, complemented
38C2×C3×#121C2211yescharacteristic
39C2×C3×#121C2211yescharacteristic
40C2×C3×#120C2211yescharacteristic
41C2×C3×#120C2211yescharacteristic, complemented
42C22×C3×C22⋊C4C2211yescharacteristic
43C2×#953C2211yescharacteristic
44C2×#953C2211yescharacteristic
45C2×#953C2211yescharacteristic
46C2×#953C2211yescharacteristic, complemented
47C22×#217C2211yescharacteristic
48C22×#217C2211yescharacteristic, complemented
49#5806—28no—
50C2×#940C2211yescharacteristic
51C2×#940C2211yescharacteristic, complemented
52C2×#939C2211yescharacteristic
53C2×#939C2211yescharacteristic, complemented
54C2×#939C2211yescharacteristic, complemented
55C2×#938C2211yescharacteristic, complemented
56C2×#938C2211yescharacteristic, complemented
57C2×#937C2211yescharacteristic
58C2×#937C2211yescharacteristic
59C2×#937C2211yescharacteristic, complemented
60C2×#936C2211yescharacteristic, complemented
61C2×#935C2211yescharacteristic
62C2×#935C2211yescharacteristic, complemented
63C2×#935C2211yescharacteristic, complemented
64C2×D4×Dic3C2211yescharacteristic
65C2×D4×Dic3C2211yescharacteristic, complemented
66C2×C4×#67C2211yescharacteristic, complemented
67C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
68C2×#924C2211yescharacteristic, complemented
69C2×#924C2211yescharacteristic, complemented
70#5606—28no—
71C2×#897C2211yescharacteristic, complemented
72C2×#892C2211yescharacteristic, complemented
73C2×#885C2211yescharacteristic, complemented
74C2×#884C2211yescharacteristic, complemented
75C2×#884C2211yescharacteristic, complemented
76C2×#883C2211yescharacteristic, complemented
77C2×#883C2211yescharacteristic, complemented
78C2×#882C2211yescharacteristic, complemented
79C2×#67⋊C4C2211yescharacteristic, complemented
80C2×#67⋊C4C2211yescharacteristic, complemented
81C3×#394C2211yescharacteristic, complemented
82C3×#394C2211yescharacteristic, complemented
83C3×#392C2211yescharacteristic, complemented
84C3×#392C2211yescharacteristic, complemented
85C3×#386C2211yescharacteristic
86C3×#386C2211yescharacteristic
87C3×#386C2211yescharacteristic, complemented
88C3×#385C2211yescharacteristic, complemented
89C3×#379C2211yescharacteristic, complemented
90#5247C2211yescharacteristic
91#5223C2211yescharacteristic
92#5223C2211yescharacteristic
93#5223C2211yescharacteristic
94#5223C2211yescharacteristic
95#5223C2211yescharacteristic
96#5223C2211yescharacteristic, complemented
97#5223C2211yescharacteristic, complemented
98#5223C2211yescharacteristic, complemented
99#5223C2211yescharacteristic, complemented
100#5223C2211yescharacteristic, complemented
101#5222C2211yescharacteristic, complemented
102#5222C2211yescharacteristic, complemented
103#5220C2211yescharacteristic
104#5220C2211yescharacteristic
105#5220C2211yescharacteristic, complemented
106#5220C2211yescharacteristic, complemented
107#5220C2211yescharacteristic, complemented
108#5220C2211yescharacteristic, complemented
109#5213C2211yescharacteristic
110#5213C2211yescharacteristic
111#5213C2211yescharacteristic, complemented
112#5213C2211yescharacteristic, complemented
113C4×#217C2211yescharacteristic, complemented
114C2×C3⋊#95C2211yescharacteristic, complemented
115C2×C3⋊#95C2211yescharacteristic, complemented
116#4993C2211yescharacteristic, complemented
117#4993C2211yescharacteristic, complemented
118#4990C2211yescharacteristic, complemented
119#4989C2211yescharacteristic, complemented
120#4982C2211yescharacteristic, complemented
121#4979C2211yescharacteristic, complemented
122#4961C2211yescharacteristic, complemented
123#4961C2211yescharacteristic, complemented
124#4960C2211yescharacteristic
125#4960C2211yescharacteristic, complemented
126#4960C2211yescharacteristic, complemented
127#4960C2211yescharacteristic, complemented
128#4959C2211yescharacteristic, complemented
129#4959C2211yescharacteristic, complemented
130#4958C2211yescharacteristic, complemented
131#4958C2211yescharacteristic, complemented
132#4958C2211yescharacteristic, complemented
133#4957C2211yescharacteristic
134#4957C2211yescharacteristic, complemented
135#4957C2211yescharacteristic, complemented
136#4957C2211yescharacteristic, complemented
137#4957C2211yescharacteristic, complemented
138#4957C2211yescharacteristic, complemented
139#4957C2211yescharacteristic, complemented
140#4956C2211yescharacteristic
141#4956C2211yescharacteristic
142#4956C2211yescharacteristic
143#4956C2211yescharacteristic
144#4956C2211yescharacteristic, complemented
145#4956C2211yescharacteristic, complemented
146#4956C2211yescharacteristic, complemented
147#4956C2211yescharacteristic, complemented
148#4956C2211yescharacteristic, complemented
149#4956C2211yescharacteristic, complemented
150#4956C2211yescharacteristic, complemented
151#4952C2211yescharacteristic, complemented
152#4952C2211yescharacteristic, complemented
153#4952C2211yescharacteristic, complemented
154#4951C2211yescharacteristic, complemented
155#4951C2211yescharacteristic, complemented
156#4948C2211yescharacteristic, complemented
157#4948C2211yescharacteristic, complemented
158#4947C2211yescharacteristic, complemented
159#4947C2211yescharacteristic, complemented
160#4947C2211yescharacteristic, complemented
161#4946C2211yescharacteristic, complemented
162#4945C2211yescharacteristic, complemented
163#4945C2211yescharacteristic, complemented
164#4945C2211yescharacteristic, complemented
165#4945C2211yescharacteristic, complemented
166#4944C2211yescharacteristic, complemented
167#4944C2211yescharacteristic, complemented
168#4944C2211yescharacteristic, complemented
169#4943C2211yescharacteristic, complemented
170#4943C2211yescharacteristic, complemented
171#4942C2211yescharacteristic, complemented
172Dic3×C22⋊C4C2211yescharacteristic, complemented
173Dic3×C22⋊C4C2211yescharacteristic, complemented
174#4673C2211yescharacteristic, complemented
175#4673C2211yescharacteristic, complemented
176#4667C2211yescharacteristic, complemented
177#4667C2211yescharacteristic, complemented
178#4665C2211yescharacteristic, complemented
179#4665C2211yescharacteristic, complemented
180#4665C2211yescharacteristic, complemented
181#4665C2211yescharacteristic, complemented
182#4660C2211yescharacteristic, complemented
183#4658C2211yescharacteristic, complemented
184#4654C2211yescharacteristic, complemented
185#4653C2211yescharacteristic, complemented
186#4651C2211yescharacteristic, complemented
187#4650C2211yescharacteristic, complemented
188#4648C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#546—31no—
191C2×#525—31no—
192#2847—31no—
193#2706—31no—
194#2703—31no—
195#2696—31no—
196#2692—31no—
197#2678—31no—
198#2676—31no—
199#2673—31no—
200#2669—31no—
201#2635—31no—
202#2631—31no—
203#2610—31no—
204#2598—31no—
205#2543—31no—
206#2539—31no—
207#2534—31no—
208#2488—31no—
209#2472—31no—
210#2433—31no—
211#2431—31no—
212#2430—31no—
213#2410D311yescharacteristic, complemented
214#2404—31no—
215#2404—31no—
216#2403—31no—
217#2353—31no—
218#2328—31no—
219#2321—31no—
220C2×#386—31no—
221C25×C3C2311yescharacteristic
222C25×C3C2311yescharacteristic
223C24×D3C2311yescharacteristic
224C22×C3×D4—24no—
225C22×C3×D4—42no—
226C22×C3×D4—42no—
227C22×C3×D4C2311yescharacteristic
228C22×C3×D4C2311yescharacteristic
229C22×C3×D4C2311yescharacteristic
230C22×C3×D4C2311yescharacteristic
231C22×C3×D4C2311yescharacteristic
232C22×C3×D4C2311yescharacteristic
233C22×C3×D4C2311yescharacteristic
234C22×C3×D4C2311yescharacteristic
235C22×C3×D4C2311yescharacteristic
236C23×C3×C4C2311yescharacteristic
237C23×C3×C4C2311yescharacteristic
238C23×C3×C4C2311yescharacteristic
239C22×#67—24no—
240C22×#67—42no—
241C22×#67—42no—
242C22×#67C2311yescharacteristic
243C22×#67C2311yescharacteristic
244C22×#67C2311yescharacteristic
245C22×#67C2311yescharacteristic
246C22×#67C2311yescharacteristic
247C22×#67C2311yescharacteristic
248C22×#67C2311yescharacteristic
249C22×#67C2311yescharacteristic
250C22×#67C2311yescharacteristic
251C22×#67C2311yescharacteristic
252C22×#67C2311yescharacteristic
253C22×#67C2311yescharacteristic
254C22×#67C2311yescharacteristic
255C22×#67C2311yescharacteristic
256C22×#67C2311yescharacteristic
257C22×#67C2311yescharacteristic
258C23×Dic3C2311yescharacteristic
259C23×Dic3C2311yescharacteristic
260C23×Dic3C2311yescharacteristic
261C23×Dic3C2311yescharacteristic
262C23×Dic3C2311yescharacteristic
263C23×Dic3C2311yescharacteristic
264C2×#237—24no—
265C2×#237—24no—
266C2×#237—42no—
267C2×#237—42no—
268C2×#237—42no—
269C2×#237—42no—
270C22×D12C2311yescharacteristic
271C22×D12C2311yescharacteristic
272C22×C4×D3—24no—
273C22×C4×D3—42no—
274C22×C4×D3—42no—
275C22×C4×D3C2311yescharacteristic
276C22×C4×D3C2311yescharacteristic
277C22×C4×D3C2311yescharacteristic
278C22×C4×D3C2311yescharacteristic
279C22×C4×D3C2311yescharacteristic
280C22×Dic6C2311yescharacteristic
281C22×Dic6C2311yescharacteristic
282C3×#121—24no—
283C3×#121—42no—
284C3×#120—42no—
285C3×#120—42no—
286C2×C3×C4⋊C4C2311yescharacteristic
287C2×C3×C4⋊C4C2311yescharacteristic
288C2×C3×C22⋊C4—42no—
289C2×C3×C22⋊C4C2311yescharacteristic
290C2×C3×C22⋊C4C2311yescharacteristic
291C2×C3×C22⋊C4C2311yescharacteristic
292C2×C3×C22⋊C4C2311yescharacteristic
293C2×C3×C22⋊C4C2311yescharacteristic
294C2×C3×C22⋊C4C2311yescharacteristic
295C2×C3×C22⋊C4C2311yescharacteristic
296C2×C3×C22⋊C4C2311yescharacteristic
297C2×C3×C22⋊C4C2311yescharacteristic
298C2×C3×C22⋊C4C2311yescharacteristic
299C2×C3×C22⋊C4C2311yescharacteristic
300C2×C3×C22⋊C4C2311yescharacteristic
301C2×C3×C22⋊C4C2311yescharacteristic
302C2×C3×C22⋊C4C2311yescharacteristic
303C2×C3×C22⋊C4C2311yescharacteristic
304#953—24no—
305#953—24no—
306#953—24no—
307#953—42no—
308C2×#217—24no—
309C2×#217—24no—
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
335#940—24no—
336#940—42no—
337#939—24no—
338#939—24no—
339#939—42no—
340#938—24no—
341#938—24no—
342#937—24no—
343#937—24no—
344#937—42no—
345#936—24no—
346#935—24no—
347#935—24no—
348#935—42no—
349D4×Dic3—24no—
350D4×Dic3D418yescomplemented
351C4×#67—24no—
352C2×(C2×D3)⋊C4—42no—
353C2×(C2×D3)⋊C4C2311yescharacteristic
354C2×(C2×D3)⋊C4C2311yescharacteristic
355C2×(C2×D3)⋊C4C2311yescharacteristic
356C2×(C2×D3)⋊C4C2311yescharacteristic
357C2×(C2×D3)⋊C4C2311yescharacteristic
358C2×(C2×D3)⋊C4C2311yescharacteristic
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×(C2×D3)⋊C4C2311yescharacteristic
367C2×(C2×D3)⋊C4C2311yescharacteristic
368C2×(C2×D3)⋊C4C2311yescharacteristic
369C2×(C2×D3)⋊C4C2311yescharacteristic
370C2×(C2×D3)⋊C4C2311yescharacteristic
371C2×C4⋊Dic3C2311yescharacteristic
372C2×C4⋊Dic3C2311yescharacteristic
373C2×C4⋊Dic3C2311yescharacteristic
374#924—24no—
375#924—24no—
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×C4×Dic3C2311yescharacteristic
387C2×C4×Dic3C2311yescharacteristic
388C2×C4×Dic3C2311yescharacteristic
389C2×C4×Dic3C2311yescharacteristic
390C2×C4×Dic3C2311yescharacteristic
391C2×C4×Dic3C2311yescharacteristic
392#897—24no—
393#892—24no—
394#885—42no—
395#884—42no—
396#884—42no—
397#883—24no—
398#883—24no—
399#882—42no—
400#67⋊C4—24no—
401#67⋊C4—24no—
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
423C3⋊#95C2311yescharacteristic
424C3⋊#95C2311yescharacteristic
425C3⋊#95C2311yescharacteristic
426C3⋊#95C2311yescharacteristic
427C3⋊#95C2311yescharacteristic
428C3⋊#95C2311yescharacteristic
429C3⋊#95C2311yescharacteristic
430C3⋊#95C2311yescharacteristic
431C3⋊#95C2311yescharacteristic
432C22×#41—31no—
433C22×#41—31no—
434C23×D4—31no—
435C23×D4C2×D311yescharacteristic
436C24×C4—31no—
437#546—68no—
438C2×#127—31no—
439C2×#127—31no—
440C2×#124—31no—
441C2×#124—31no—
442#525—68no—
443C2×#123—31no—
444C2×#123—31no—
445C2×#123—31no—
446C2×#123—31no—
447C2×#123—31no—
448C2×C22⋊Q8—31no—
449C2×C22⋊Q8—31no—
450C2×C22⋊Q8—31no—
451C2×#121—31no—
452C2×#121—31no—
453C2×#121—31no—
454C2×#121—31no—
455C2×#121—31no—
456C2×#121—31no—
457C2×#121—31no—
458C2×#121C2×D311yescharacteristic
459C2×#121C2×D311yescharacteristic
460C2×#120—31no—
461C2×#120—31no—
462C2×#120—31no—
463C2×#120—31no—
464C2×#120—31no—
465C2×#120—31no—
466C2×#120—31no—
467C2×#120—31no—
468C2×#120C2×D311yescharacteristic
469C2×#120C2×D311yescharacteristic, complemented
470C2×C4×D4—31no—
471C2×C4×D4—31no—
472C2×C4×D4—31no—
473C2×C4×D4—31no—
474C2×C4×D4—31no—
475C2×#117—31no—
476C22×C22⋊C4—31no—
477C22×C22⋊C4—31no—
478C22×C22⋊C4—31no—
479C22×C22⋊C4C2×D311yescharacteristic
480#400—31no—
481#400—31no—
482#399—31no—
483#399—31no—
484#398—31no—
485#397—31no—
486#397—31no—
487#397—31no—
488#396—31no—
489#396—31no—
490#395—31no—
491#394—31no—
492#394—31no—
493#394—31no—
494#394—31no—
495#394—31no—
496#394—31no—
497#394C2×D311yescharacteristic, complemented
498#394C2×D311yescharacteristic, complemented
499#393—31no—
500#393—31no—
501#393—31no—
502#393—31no—
503#393—31no—
504#392—31no—
505#392—31no—
506#392—31no—
507#392—31no—
508#392—31no—
509#392—31no—
510#392—31no—
511#392—31no—
512#392—31no—
513#392—31no—
514#392—31no—
515#392—31no—
516#392—31no—
517#392—31no—
518#392C2×D311yescharacteristic, complemented
519#392C2×D311yescharacteristic, complemented
520#391—31no—
521#390—31no—
522#390—31no—
523#390—31no—
524#390—31no—
525#390—31no—
526#390—31no—
527#390—31no—
528#388—31no—
529#388—31no—
530#388—31no—
531#388—31no—
532#388—31no—
533#388—31no—
534#388—31no—
535#388—31no—
536#388—31no—
537#388—31no—
538#387—31no—
539#387—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#386—31no—
557#386—31no—
558#386—31no—
559#386—31no—
560#386—31no—
561#386—31no—
562#386—31no—
563#386—31no—
564#386—31no—
565#386—31no—
566#386—31no—
567#386—31no—
568#386C2×D311yescharacteristic
569#386C2×D311yescharacteristic
570#386C2×D311yescharacteristic, complemented
571#385—31no—
572#385—31no—
573#385C2×D311yescharacteristic, complemented
574#383—31no—
575#382—31no—
576#381—31no—
577#381—31no—
578#380—31no—
579#380—31no—
580#380—31no—
581#379—31no—
582#379C2×D311yescharacteristic, complemented
583C4×C22⋊C4—31no—
584C4×C22⋊C4—31no—
585C4×C22⋊C4—31no—
586#376—31no—
587C2×#95—31no—
588C2×#95—31no—
589C24×C3—22no—
590C24×C3—22no—
591C24×C3—22no—
592C24×C3—22no—
593C24×C3—22no—
594C24×C3—22no—
595C24×C3—41no—
596C24×C3—41no—
597C24×C3—41no—
598C24×C3—41no—
599C24×C3—41no—
600C24×C3—41no—
601C24×C3—41no—
602C24×C3—41no—
603C24×C3C2411yescharacteristic
604C24×C3C2411yescharacteristic
605C24×C3C2411yescharacteristic
606C24×C3C2411yescharacteristic
607C24×C3C2411yescharacteristic
608C24×C3C2411yescharacteristic
609C23×D3—22no—
610C23×D3—22no—
611C23×D3—22no—
612C23×D3—22no—
613C23×D3—22no—
614C23×D3—41no—
615C23×D3—41no—
616C23×D3C2411yescharacteristic
617C23×D3C2411yescharacteristic
618C23×D3C2411yescharacteristic
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—22no—
626C2×C3×D4—22no—
627C2×C3×D4—22no—
628C2×C3×D4—22no—
629C2×C3×D4—22no—
630C2×C3×D4—22no—
631C2×C3×D4—22no—
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—41no—
642C2×C3×D4—41no—
643C2×C3×D4—41no—
644C2×C3×D4—41no—
645C2×C3×D4—416no—
646C2×C3×D4C2×D414yes—
647C22×C3×C4—22no—
648C22×C3×C4—22no—
649C22×C3×C4—22no—
650C22×C3×C4—22no—
651C22×C3×C4—41no—
652C22×C3×C4—41no—
653C22×C3×C4—41no—
654C22×C3×C4—41no—
655C22×C3×C4—41no—
656C22×C3×C4C2411yescharacteristic
657C22×C3×C4C2411yescharacteristic
658C22×C3×C4C2411yescharacteristic
659C22×C3×C4C2411yescharacteristic
660C22×C3×C4C2411yescharacteristic
661C22×C3×C4C2411yescharacteristic
662C22×C3×C4C2411yescharacteristic
663C22×C3×C4C2411yescharacteristic
664C22×C3×C4C2411yescharacteristic
665C2×#67—22no—
666C2×#67—22no—
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—22no—
676C2×#67—22no—
677C2×#67—22no—
678C2×#67—22no—
679C2×#67—22no—
680C2×#67—22no—
681C2×#67—22no—
682C2×#67—22no—
683C2×#67—22no—
684C2×#67—22no—
685C2×#67—22no—
686C2×#67—22no—
687C2×#67—22no—
688C2×#67—22no—
689C2×#67—41no—
690C2×#67—41no—
691C2×#67—41no—
692C2×#67—41no—
693C2×#67—41no—
694C2×#67—41no—
695C2×#67—41no—
696C2×#67—41no—
697C2×#67—41no—
698C2×#67—41no—
699C2×#67—41no—
700C2×#67—41no—
701C2×#67—41no—
702C2×#67—41no—
703C2×#67—41no—
704C2×#67—41no—
705C2×#67—41no—
706C2×#67—41no—
707C2×#67—41no—
708C2×#67—41no—
709C2×#67—41no—
710C2×#67—41no—
711C2×#67—41no—
712C2×#67—416no—
713C2×#67#4114yescomplemented
714C22×Dic3—22no—
715C22×Dic3—22no—
716C22×Dic3—22no—
717C22×Dic3—22no—
718C22×Dic3—22no—
719C22×Dic3—22no—
720C22×Dic3—22no—
721C22×Dic3—41no—
722C22×Dic3—41no—
723C22×Dic3—41no—
724C22×Dic3—41no—
725C22×Dic3—41no—
726C22×Dic3—41no—
727C22×Dic3—41no—
728C22×Dic3—41no—
729C22×Dic3—41no—
730C22×Dic3C2×D414yes—
731C22×Dic3C2×D414yescomplemented
732C22×Dic3C2411yescharacteristic
733C22×Dic3C2411yescharacteristic
734C22×Dic3C2411yescharacteristic
735C22×Dic3C2411yescharacteristic
736C22×Dic3C2411yescharacteristic
737C22×Dic3C2411yescharacteristic
738C22×Dic3C2411yescharacteristic
739C22×Dic3C2411yescharacteristic
740C22×Dic3C2411yescharacteristic
741C22×Dic3C2411yescharacteristic
742C22×Dic3C2411yescharacteristic
743C22×Dic3C2411yescharacteristic
744C22×Dic3C2411yescharacteristic
745#237—416no—
746#237—416no—
747C2×D12—22no—
748C2×D12—22no—
749C2×D12—41no—
750C2×D12—41no—
751C2×D12—41no—
752C2×D12—41no—
753C2×C4×D3—22no—
754C2×C4×D3—22no—
755C2×C4×D3—22no—
756C2×C4×D3—22no—
757C2×C4×D3—22no—
758C2×C4×D3—22no—
759C2×C4×D3—22no—
760C2×C4×D3—22no—
761C2×C4×D3—22no—
762C2×C4×D3—416no—
763C2×C4×D3—41no—
764C2×C4×D3—41no—
765C2×C4×D3—41no—
766C2×C4×D3—41no—
767C2×C4×D3—41no—
768C2×C4×D3—41no—
769C2×Dic6—22no—
770C2×Dic6—22no—
771C2×Dic6—22no—
772C2×Dic6—41no—
773C2×Dic6—41no—
774C2×Dic6—41no—
775C3×C4⋊C4—22no—
776C3×C4⋊C4—41no—
777C3×C22⋊C4—22no—
778C3×C22⋊C4—22no—
779C3×C22⋊C4—22no—
780C3×C22⋊C4—22no—
781C3×C22⋊C4—22no—
782C3×C22⋊C4—22no—
783C3×C22⋊C4—41no—
784C3×C22⋊C4—41no—
785C3×C22⋊C4—41no—
786C3×C22⋊C4—41no—
787C3×C22⋊C4—41no—
788C3×C22⋊C4—41no—
789C3×C22⋊C4—41no—
790C3×C22⋊C4—41no—
791C3×C22⋊C4—41no—
792#217—22no—
793#217—22no—
794#217—22no—
795#217—22no—
796#217—22no—
797#217—22no—
798#217—22no—
799#217—22no—
800#217—22no—
801#217—22no—
802#217—22no—
803#217—22no—
804#217—22no—
805#217—22no—
806#217—22no—
807#217—41no—
808#217—41no—
809#217—41no—
810#217—41no—
811#217—41no—
812#217—41no—
813#217—41no—
814#217—41no—
815#217C2×D414yes—
816#217C2×D414yescomplemented
817(C2×D3)⋊C4—22no—
818(C2×D3)⋊C4—22no—
819(C2×D3)⋊C4—22no—
820(C2×D3)⋊C4—22no—
821(C2×D3)⋊C4—22no—
822(C2×D3)⋊C4—22no—
823(C2×D3)⋊C4—41no—
824(C2×D3)⋊C4—41no—
825(C2×D3)⋊C4—41no—
826(C2×D3)⋊C4—41no—
827(C2×D3)⋊C4—41no—
828(C2×D3)⋊C4—41no—
829(C2×D3)⋊C4—41no—
830(C2×D3)⋊C4—41no—
831(C2×D3)⋊C4—41no—
832(C2×D3)⋊C4—41no—
833(C2×D3)⋊C4—41no—
834(C2×D3)⋊C4—41no—
835C4⋊Dic3—22no—
836C4⋊Dic3—22no—
837C4⋊Dic3C2×D414yescomplemented
838Dic3⋊C4—22no—
839Dic3⋊C4—22no—
840Dic3⋊C4—22no—
841Dic3⋊C4—22no—
842Dic3⋊C4—22no—
843Dic3⋊C4—41no—
844Dic3⋊C4—41no—
845Dic3⋊C4—41no—
846Dic3⋊C4—41no—
847Dic3⋊C4—41no—
848C4×Dic3—22no—
849C4×Dic3—22no—
850C4×Dic3—41no—
851C4×Dic3—41no—
852C4×Dic3—41no—
853C4×Dic3C2×D414yescomplemented
854C25—31no—
855C25C22×D311yescharacteristic
856C25C22×D311yescharacteristic
857C2×#41—64no—
858C2×#41—64no—
859C2×#41—122no—
860C2×#41—122no—
861C2×#41—122no—
862C2×#41—122no—
863C22×Q8—31no—
864C22×Q8—31no—
865C22×D4—24no—
866C22×D4—31no—
867C22×D4—31no—
868C22×D4—31no—
869C22×D4—31no—
870C22×D4—31no—
871C22×D4—31no—
872C22×D4—31no—
873C22×D4—31no—
874C22×D4—31no—
875C22×D4—31no—
876C22×D4—31no—
877C22×D4—31no—
878C22×D4—31no—
879C22×D4—31no—
880C22×D4—31no—
881C22×D4—31no—
882C22×D4—31no—
883C22×D4—31no—
884C22×D4—42no—
885C22×D4—42no—
886C22×D4—64no—
887C22×D4—122no—
888C22×D4—122no—
889C22×D4C22×D311yescharacteristic
890C22×D4C22×D311yescharacteristic
891C22×D4C22×D311yescharacteristic
892C22×D4C22×D311yescharacteristic
893C22×D4C22×D311yescharacteristic
894C22×D4C22×D311yescharacteristic
895C22×D4C22×D311yescharacteristic
896C22×D4C22×D311yescharacteristic
897C22×D4C22×D311yescharacteristic
898C23×C4—31no—
899C23×C4—31no—
900C23×C4—31no—
901C23×C4—31no—
902C23×C4—31no—
903C23×C4—31no—
904C23×C4—31no—
905C23×C4—31no—
906C23×C4—31no—
907C23×C4—31no—
908C23×C4—31no—
909C23×C4—64no—
910C23×C4—122no—
911C23×C4—122no—
912C23×C4C22×D311yescharacteristic
913C23×C4C22×D311yescharacteristic
914C23×C4C22×D311yescharacteristic
915#127—64no—
916#127—122no—
917#124—64no—
918#124—122no—
919#123—64no—
920#123—64no—
921#123—64no—
922#123—64no—
923#123—122no—
924C22⋊Q8—64no—
925C22⋊Q8—64no—
926C22⋊Q8—64no—
927#121—24no—
928#121—42no—
929#121—64no—
930#121—64no—
931#121—64no—
932#121—64no—
933#121—122no—
934#121—122no—
935#121—122no—
936#120—42no—
937#120—42no—
938#120—64no—
939#120—64no—
940#120—64no—
941#120—64no—
942#120—64no—
943#120—122no—
944#120—122no—
945#120—122no—
946C4×D4—38no—
947C4×D4—64no—
948C4×D4—64no—
949C4×D4—64no—
950C4×D4—64no—
951#117—64no—
952C2×C4⋊C4—31no—
953C2×C4⋊C4—31no—
954C2×C4⋊C4—31no—
955C2×C4⋊C4—31no—
956C2×C4⋊C4—31no—
957C2×C4⋊C4—31no—
958C2×C4⋊C4—31no—
959C2×C4⋊C4—31no—
960C2×C4⋊C4—31no—
961C2×C4⋊C4—31no—
962C2×C4⋊C4—31no—
963C2×C4⋊C4—31no—
964C2×C4⋊C4—31no—
965C2×C4⋊C4C22×D311yescharacteristic
966C2×C4⋊C4C22×D311yescharacteristic
967C2×C22⋊C4—31no—
968C2×C22⋊C4—31no—
969C2×C22⋊C4—31no—
970C2×C22⋊C4—31no—
971C2×C22⋊C4—31no—
972C2×C22⋊C4—31no—
973C2×C22⋊C4—31no—
974C2×C22⋊C4—31no—
975C2×C22⋊C4—31no—
976C2×C22⋊C4—31no—
977C2×C22⋊C4—31no—
978C2×C22⋊C4—31no—
979C2×C22⋊C4—31no—
980C2×C22⋊C4—31no—
981C2×C22⋊C4—31no—
982C2×C22⋊C4—31no—
983C2×C22⋊C4—31no—
984C2×C22⋊C4—31no—
985C2×C22⋊C4—31no—
986C2×C22⋊C4—31no—
987C2×C22⋊C4—31no—
988C2×C22⋊C4—31no—
989C2×C22⋊C4—31no—
990C2×C22⋊C4—31no—
991C2×C22⋊C4—31no—
992C2×C22⋊C4—31no—
993C2×C22⋊C4—31no—
994C2×C22⋊C4—31no—
995C2×C22⋊C4—31no—
996C2×C22⋊C4—31no—
997C2×C22⋊C4—31no—
998C2×C22⋊C4—31no—
999C2×C22⋊C4—31no—
1000C2×C22⋊C4—31no—
1001C2×C22⋊C4—31no—
1002C2×C22⋊C4—31no—
1003C2×C22⋊C4—31no—
1004C2×C22⋊C4—31no—
1005C2×C22⋊C4—31no—
1006C2×C22⋊C4—31no—
1007C2×C22⋊C4—31no—
1008C2×C22⋊C4—31no—
1009C2×C22⋊C4—31no—
1010C2×C22⋊C4—42no—
1011C2×C22⋊C4—64no—
1012C2×C22⋊C4—64no—
1013C2×C22⋊C4—122no—
1014C2×C22⋊C4C22×D311yescharacteristic
1015C2×C22⋊C4C22×D311yescharacteristic
1016C2×C22⋊C4C22×D311yescharacteristic
1017C2×C22⋊C4C22×D311yescharacteristic
1018C2×C22⋊C4C22×D311yescharacteristic
1019C2×C22⋊C4C22×D311yescharacteristic
1020C2×C22⋊C4C22×D311yescharacteristic
1021C2×C22⋊C4C22×D311yescharacteristic
1022C2×C22⋊C4C22×D311yescharacteristic
1023C2×C22⋊C4C22×D311yescharacteristic
1024C2×C22⋊C4C22×D311yescharacteristic
1025C2×C22⋊C4C22×D311yescharacteristic
1026C2×C22⋊C4C22×D311yescharacteristic
1027C2×C22⋊C4C22×D311yescharacteristic
1028C2×C22⋊C4C22×D311yescharacteristic
1029C2×C42—31no—
1030C2×C42—31no—
1031C2×C42—31no—
1032C2×C42—31no—
1033C2×C42—31no—
1034C2×C42—31no—
1035#95—31no—
1036#95—31no—
1037#95—31no—
1038#95—31no—
1039#95—31no—
1040#95—31no—
1041#95—31no—
1042#95—31no—
1043#95—31no—
1044#95—31no—
1045#95—31no—
1046#95—31no—
1047#95—31no—
1048#95—31no—
1049#95—31no—
1050#95—31no—
1051#95—31no—
1052#95—31no—
1053#95—31no—
1054#95—31no—
1055#95—31no—
1056#95—31no—
1057#95—31no—
1058#95—31no—
1059#95—31no—
1060#95—31no—
1061#95C22×D311yescharacteristic
1062#95C22×D311yescharacteristic
1063#95C22×D311yescharacteristic
1064#95C22×D311yescharacteristic
1065C23×C3—21no—
1066C23×C3—21no—
1067C23×C3—21no—
1068C23×C3—21no—
1069C23×C3—21no—
1070C23×C3—21no—
1071C23×C3—21no—
1072C23×C3—21no—
1073C23×C3—21no—
1074C23×C3—21no—
1075C23×C3—21no—
1076C23×C3—21no—
1077C23×C3—21no—
1078C23×C3—21no—
1079C23×C3—21no—
1080C23×C3—21no—
1081C23×C3—21no—
1082C23×C3—21no—
1083C23×C3—21no—
1084C23×C3—21no—
1085C23×C3—21no—
1086C23×C3—21no—
1087C23×C3—21no—
1088C23×C3—21no—
1089C23×C3—21no—
1090C23×C3—21no—
1091C23×C3—21no—
1092C23×C3—21no—
1093C23×C3—21no—
1094C23×C3—21no—
1095C23×C3—21no—
1096C23×C3—21no—
1097C23×C3—21no—
1098C23×C3—21no—
1099C23×C3—21no—
1100C23×C3—21no—
1101C23×C3—21no—
1102C23×C3—44no—
1103C23×C3—44no—
1104C23×C3—44no—
1105C23×C3—44no—
1106C23×C3—44no—
1107C23×C3—44no—
1108C23×C3—82no—
1109C23×C3—82no—
1110C23×C3—82no—
1111C23×C3—82no—
1112C23×C3—82no—
1113C23×C3—82no—
1114C23×C3—82no—
1115C23×C3—82no—
1116C23×C3C22×D412yes—
1117C23×C3C22×D412yes—
1118C23×C3C2×#4112yes—
1119C23×C3H(5,𝔽2)12yes—
1120C23×C3H(5,𝔽2)12yes—
1121C23×C3C2511yescharacteristic
1122C22×D3—28no—
1123C22×D3—21no—
1124C22×D3—21no—
1125C22×D3—21no—
1126C22×D3—21no—
1127C22×D3—21no—
1128C22×D3—21no—
1129C22×D3—21no—
1130C22×D3—21no—
1131C22×D3—21no—
1132C22×D3—21no—
1133C22×D3—21no—
1134C22×D3—21no—
1135C22×D3—21no—
1136C22×D3—21no—
1137C22×D3—21no—
1138C22×D3—21no—
1139C22×D3—21no—
1140C22×D3—21no—
1141C22×D3—21no—
1142C22×D3—44no—
1143C22×D3—44no—
1144C22×D3—44no—
1145C22×D3—44no—
1146C22×D3—44no—
1147C22×D3—44no—
1148C22×D3C2×#4112yes—
1149C22×D3H(5,𝔽2)12yes—
1150C3×D4—28no—
1151C3×D4—44no—
1152C3×D4—44no—
1153C3×D4—44no—
1154C3×D4—44no—
1155C3×D4—44no—
1156C3×D4—82no—
1157C3×D4—82no—
1158C3×D4—82no—
1159C2×C3×C4—21no—
1160C2×C3×C4—21no—
1161C2×C3×C4—21no—
1162C2×C3×C4—21no—
1163C2×C3×C4—21no—
1164C2×C3×C4—21no—
1165C2×C3×C4—21no—
1166C2×C3×C4—21no—
1167C2×C3×C4—21no—
1168C2×C3×C4—21no—
1169C2×C3×C4—21no—
1170C2×C3×C4—21no—
1171C2×C3×C4—21no—
1172C2×C3×C4—21no—
1173C2×C3×C4—21no—
1174C2×C3×C4—21no—
1175C2×C3×C4—21no—
1176C2×C3×C4—21no—
1177C2×C3×C4—21no—
1178C2×C3×C4—21no—
1179C2×C3×C4—21no—
1180C2×C3×C4—21no—
1181C2×C3×C4—21no—
1182C2×C3×C4—21no—
1183C2×C3×C4—21no—
1184C2×C3×C4—44no—
1185C2×C3×C4—44no—
1186C2×C3×C4—82no—
1187C2×C3×C4C22×D412yes—
1188C2×C3×C4H(5,𝔽2)12yes—
1189#67—44no—
1190#67—44no—
1191#67—44no—
1192#67—44no—
1193#67—44no—
1194#67—44no—
1195#67—44no—
1196#67—44no—
1197#67—44no—
1198#67—44no—
1199#67—44no—
1200#67—82no—
1201#67—82no—
1202#67—82no—
1203#67—82no—
1204#67—82no—
1205C2×Dic3—21no—
1206C2×Dic3—21no—
1207C2×Dic3—21no—
1208C2×Dic3—21no—
1209C2×Dic3—21no—
1210C2×Dic3—21no—
1211C2×Dic3—21no—
1212C2×Dic3—21no—
1213C2×Dic3—21no—
1214C2×Dic3—21no—
1215C2×Dic3—21no—
1216C2×Dic3—21no—
1217C2×Dic3—21no—
1218C2×Dic3—21no—
1219C2×Dic3—21no—
1220C2×Dic3—21no—
1221C2×Dic3—21no—
1222C2×Dic3—21no—
1223C2×Dic3—21no—
1224C2×Dic3—21no—
1225C2×Dic3—21no—
1226C2×Dic3—21no—
1227C2×Dic3—21no—
1228C2×Dic3—21no—
1229C2×Dic3—21no—
1230C2×Dic3—21no—
1231C2×Dic3—21no—
1232C2×Dic3—21no—
1233C2×Dic3—21no—
1234C2×Dic3—21no—
1235C2×Dic3—21no—
1236C2×Dic3—21no—
1237C2×Dic3—21no—
1238C2×Dic3—21no—
1239C2×Dic3—44no—
1240C2×Dic3—44no—
1241C2×Dic3—44no—
1242C2×Dic3—44no—
1243C2×Dic3—44no—
1244C2×Dic3—44no—
1245C2×Dic3C22×D412yes—
1246C2×Dic3C22×D412yes—
1247C2×Dic3C22×D412yes—
1248C2×Dic3C22×D412yes—
1249C2×Dic3C2×#4112yes—
1250D12—82no—
1251D12—82no—
1252C4×D3—28no—
1253C4×D3—44no—
1254C4×D3—44no—
1255C4×D3—44no—
1256C4×D3—44no—
1257Dic6—44no—
1258Dic6—44no—
1259C24—22no—
1260C24—22no—
1261C24—22no—
1262C24—22no—
1263C24—22no—
1264C24—22no—
1265C24—31no—
1266C24—31no—
1267C24—31no—
1268C24—41no—
1269C24—41no—
1270C24—41no—
1271C24—41no—
1272C24—41no—
1273C24—41no—
1274C24—41no—
1275C24—41no—
1276C24—62no—
1277C24—62no—
1278C24—62no—
1279C24—62no—
1280C24—62no—
1281C24—121no—
1282C24—121no—
1283C24C23×D311yescharacteristic
1284C24C23×D311yescharacteristic
1285C24C23×D311yescharacteristic
1286C24C23×D311yescharacteristic
1287C24C23×D311yescharacteristic
1288C24C23×D311yescharacteristic
1289#41—1216no—
1290#41—1216no—
1291C2×Q8—62no—
1292C2×Q8—62no—
1293C2×Q8—62no—
1294C2×Q8—121no—
1295C2×Q8—121no—
1296C2×Q8—121no—
1297C2×D4—22no—
1298C2×D4—22no—
1299C2×D4—22no—
1300C2×D4—22no—
1301C2×D4—22no—
1302C2×D4—22no—
1303C2×D4—22no—
1304C2×D4—22no—
1305C2×D4—22no—
1306C2×D4—22no—
1307C2×D4—22no—
1308C2×D4—22no—
1309C2×D4—22no—
1310C2×D4—34no—
1311C2×D4—41no—
1312C2×D4—41no—
1313C2×D4—41no—
1314C2×D4—41no—
1315C2×D4—41no—
1316C2×D4—41no—
1317C2×D4—41no—
1318C2×D4—41no—
1319C2×D4—41no—
1320C2×D4—41no—
1321C2×D4—41no—
1322C2×D4—41no—
1323C2×D4—41no—
1324C2×D4—416no—
1325C2×D4—62no—
1326C2×D4—62no—
1327C2×D4—62no—
1328C2×D4—62no—
1329C2×D4—62no—
1330C2×D4—62no—
1331C2×D4—62no—
1332C2×D4—62no—
1333C2×D4—62no—
1334C2×D4—62no—
1335C2×D4—62no—
1336C2×D4—62no—
1337C2×D4—62no—
1338C2×D4—62no—
1339C2×D4—62no—
1340C2×D4—62no—
1341C2×D4—62no—
1342C2×D4—62no—
1343C2×D4—62no—
1344C2×D4—62no—
1345C2×D4—62no—
1346C2×D4—62no—
1347C2×D4—62no—
1348C2×D4—62no—
1349C2×D4—62no—
1350C2×D4—62no—
1351C2×D4—121no—
1352C2×D4—121no—
1353C2×D4—121no—
1354C2×D4—121no—
1355C2×D4—121no—
1356C2×D4—121no—
1357C2×D4—121no—
1358C2×D4—121no—
1359C2×D4—121no—
1360C2×D4—121no—
1361C2×D4—121no—
1362C2×D4—121no—
1363C2×D4—121no—
1364C2×D4—121no—
1365C2×D4—121no—
1366C2×D4—121no—
1367C2×D4—121no—
1368C2×D4—121no—
1369C2×D4—121no—
1370C2×D4—121no—
1371C2×D4—121no—
1372C2×D4—121no—
1373C2×D4—121no—
1374C2×D4—121no—
1375C2×D4—121no—
1376C2×D4—121no—
1377C2×D4—121no—
1378C2×D4—1216no—
1379C2×D4D3×D414yes—
1380C22×C4—22no—
1381C22×C4—22no—
1382C22×C4—22no—
1383C22×C4—22no—
1384C22×C4—31no—
1385C22×C4—31no—
1386C22×C4—31no—
1387C22×C4—31no—
1388C22×C4—31no—
1389C22×C4—34no—
1390C22×C4—34no—
1391C22×C4—31no—
1392C22×C4—31no—
1393C22×C4—31no—
1394C22×C4—31no—
1395C22×C4—31no—
1396C22×C4—31no—
1397C22×C4—31no—
1398C22×C4—31no—
1399C22×C4—41no—
1400C22×C4—41no—
1401C22×C4—41no—
1402C22×C4—41no—
1403C22×C4—41no—
1404C22×C4—62no—
1405C22×C4—62no—
1406C22×C4—62no—
1407C22×C4—62no—
1408C22×C4—62no—
1409C22×C4—62no—
1410C22×C4—62no—
1411C22×C4—62no—
1412C22×C4—62no—
1413C22×C4—62no—
1414C22×C4—62no—
1415C22×C4—62no—
1416C22×C4—62no—
1417C22×C4—62no—
1418C22×C4—62no—
1419C22×C4—62no—
1420C22×C4—121no—
1421C22×C4—121no—
1422C22×C4—121no—
1423C22×C4—121no—
1424C22×C4—121no—
1425C22×C4—121no—
1426C22×C4—1216no—
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×C4C23×D311yescharacteristic
1437C22×C4C23×D311yescharacteristic
1438C22×C4C23×D311yescharacteristic
1439C22×C4C23×D311yescharacteristic
1440C22×C4C23×D311yescharacteristic
1441C22×C4C23×D311yescharacteristic
1442C22×C4C23×D311yescharacteristic
1443C22×C4C23×D311yescharacteristic
1444C22×C4C23×D311yescharacteristic
1445C4⋊C4—22no—
1446C4⋊C4—34no—
1447C4⋊C4—41no—
1448C4⋊C4—62no—
1449C4⋊C4—62no—
1450C4⋊C4—62no—
1451C4⋊C4—62no—
1452C4⋊C4—62no—
1453C4⋊C4—62no—
1454C4⋊C4—62no—
1455C4⋊C4—121no—
1456C4⋊C4—121no—
1457C4⋊C4—121no—
1458C4⋊C4—121no—
1459C4⋊C4—121no—
1460C22⋊C4—22no—
1461C22⋊C4—22no—
1462C22⋊C4—22no—
1463C22⋊C4—22no—
1464C22⋊C4—22no—
1465C22⋊C4—22no—
1466C22⋊C4—34no—
1467C22⋊C4—34no—
1468C22⋊C4—41no—
1469C22⋊C4—41no—
1470C22⋊C4—41no—
1471C22⋊C4—41no—
1472C22⋊C4—41no—
1473C22⋊C4—41no—
1474C22⋊C4—41no—
1475C22⋊C4—41no—
1476C22⋊C4—41no—
1477C22⋊C4—62no—
1478C22⋊C4—62no—
1479C22⋊C4—62no—
1480C22⋊C4—62no—
1481C22⋊C4—62no—
1482C22⋊C4—62no—
1483C22⋊C4—62no—
1484C22⋊C4—62no—
1485C22⋊C4—62no—
1486C22⋊C4—62no—
1487C22⋊C4—62no—
1488C22⋊C4—62no—
1489C22⋊C4—62no—
1490C22⋊C4—62no—
1491C22⋊C4—62no—
1492C22⋊C4—62no—
1493C22⋊C4—62no—
1494C22⋊C4—62no—
1495C22⋊C4—62no—
1496C22⋊C4—62no—
1497C22⋊C4—62no—
1498C22⋊C4—121no—
1499C22⋊C4—121no—
1500C22⋊C4—121no—
1501C22⋊C4—121no—
1502C22⋊C4—121no—
1503C22⋊C4—121no—
1504C22⋊C4—121no—
1505C22⋊C4—121no—
1506C22⋊C4—121no—
1507C22⋊C4—121no—
1508C22⋊C4—121no—
1509C22⋊C4—121no—
1510C22⋊C4—121no—
1511C22⋊C4—121no—
1512C22⋊C4—121no—
1513C22⋊C4—121no—
1514C22⋊C4—121no—
1515C22⋊C4—121no—
1516C22⋊C4—121no—
1517C22⋊C4—121no—
1518C42—34no—
1519C42—62no—
1520C42—62no—
1521C42—121no—
1522C42—121no—
1523C42—121no—
1524C22×C3—22no—
1525C22×C3—22no—
1526C22×C3—22no—
1527C22×C3—22no—
1528C22×C3—22no—
1529C22×C3—22no—
1530C22×C3—22no—
1531C22×C3—22no—
1532C22×C3—22no—
1533C22×C3—22no—
1534C22×C3—22no—
1535C22×C3—22no—
1536C22×C3—41no—
1537C22×C3—41no—
1538C22×C3—41no—
1539C22×C3—41no—
1540C22×C3—41no—
1541C22×C3—41no—
1542C22×C3—41no—
1543C22×C3—41no—
1544C22×C3—41no—
1545C22×C3—41no—
1546C22×C3—41no—
1547C22×C3—41no—
1548C22×C3—41no—
1549C22×C3—41no—
1550C22×C3—41no—
1551C22×C3—41no—
1552C22×C3—41no—
1553C22×C3—41no—
1554C22×C3—41no—
1555C22×C3—41no—
1556C22×C3—41no—
1557C22×C3—41no—
1558C22×C3—41no—
1559C22×C3—41no—
1560C22×C3—41no—
1561C22×C3—41no—
1562C22×C3—41no—
1563C22×C3—41no—
1564C22×C3—41no—
1565C22×C3—88no—
1566C22×C3—88no—
1567C22×C3#53514yes—
1568C22×C3C23×D411yescharacteristic
1569C22×C3C22×#4111yescharacteristic
1570C22×C3C2×H(5,𝔽2)11yescharacteristic
1571C22×C3C2×H(5,𝔽2)11yescharacteristic
1572C22×C3C2×H(5,𝔽2)11yescharacteristic
1573C22×C3C2×H(5,𝔽2)11yescharacteristic
1574C22×C3#58511yescharacteristic
1575C2×D3—22no—
1576C2×D3—22no—
1577C2×D3—22no—
1578C2×D3—22no—
1579C2×D3—22no—
1580C2×D3—22no—
1581C2×D3—416no—
1582C2×D3—41no—
1583C2×D3—41no—
1584C2×D3—41no—
1585C2×D3—41no—
1586C2×D3—41no—
1587C2×D3—41no—
1588C2×D3—41no—
1589C2×D3—41no—
1590C2×D3—41no—
1591C2×D3—41no—
1592C2×D3—41no—
1593C2×D3—41no—
1594C2×D3—41no—
1595C2×D3—41no—
1596C2×D3—41no—
1597C3×C4—22no—
1598C3×C4—22no—
1599C3×C4—41no—
1600C3×C4—41no—
1601C3×C4—41no—
1602C3×C4—41no—
1603C3×C4—41no—
1604C3×C4—41no—
1605C3×C4—41no—
1606Dic3—22no—
1607Dic3—22no—
1608Dic3—22no—
1609Dic3—22no—
1610Dic3—22no—
1611Dic3—41no—
1612Dic3—41no—
1613Dic3—41no—
1614Dic3—41no—
1615Dic3—41no—
1616Dic3—41no—
1617Dic3—41no—
1618Dic3—41no—
1619C23—21no—
1620C23—21no—
1621C23—21no—
1622C23—21no—
1623C23—21no—
1624C23—21no—
1625C23—21no—
1626C23—21no—
1627C23—21no—
1628C23—21no—
1629C23—21no—
1630C23—21no—
1631C23—21no—
1632C23—21no—
1633C23—21no—
1634C23—21no—
1635C23—21no—
1636C23—21no—
1637C23—21no—
1638C23—21no—
1639C23—21no—
1640C23—21no—
1641C23—21no—
1642C23—21no—
1643C23—21no—
1644C23—21no—
1645C23—21no—
1646C23—21no—
1647C23—21no—
1648C23—21no—
1649C23—21no—
1650C23—21no—
1651C23—21no—
1652C23—21no—
1653C23—21no—
1654C23—21no—
1655C23—21no—
1656C23—32no—
1657C23—32no—
1658C23—44no—
1659C23—44no—
1660C23—44no—
1661C23—44no—
1662C23—44no—
1663C23—44no—
1664C23—68no—
1665C23—61no—
1666C23—61no—
1667C23—61no—
1668C23—61no—
1669C23—61no—
1670C23—61no—
1671C23—61no—
1672C23—61no—
1673C23—61no—
1674C23—61no—
1675C23—61no—
1676C23—61no—
1677C23—61no—
1678C23—61no—
1679C23—61no—
1680C23—61no—
1681C23—61no—
1682C23—61no—
1683C23—61no—
1684C23—82no—
1685C23—82no—
1686C23—82no—
1687C23—82no—
1688C23—82no—
1689C23—82no—
1690C23—82no—
1691C23—82no—
1692C23—124no—
1693C23—124no—
1694C23—124no—
1695C23—124no—
1696C23—124no—
1697C23—124no—
1698C23C2×D3×D412yes—
1699C23C2×D3×D412yes—
1700C23#100412yes—
1701C23#100412yes—
1702C23D3×#4112yes—
1703C23C24×D311yescharacteristic
1704Q8—124no—
1705Q8—124no—
1706D4—28no—
1707D4—44no—
1708D4—44no—
1709D4—44no—
1710D4—44no—
1711D4—44no—
1712D4—82no—
1713D4—82no—
1714D4—82no—
1715D4—124no—
1716D4—124no—
1717D4—124no—
1718D4—124no—
1719D4—124no—
1720D4—124no—
1721D4—124no—
1722D4—124no—
1723D4—124no—
1724D4—124no—
1725D4—124no—
1726D4—242no—
1727D4—242no—
1728D4—242no—
1729D4—242no—
1730D4—242no—
1731D4—242no—
1732D4—242no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—32no—
1759C2×C4—32no—
1760C2×C4—32no—
1761C2×C4—32no—
1762C2×C4—32no—
1763C2×C4—44no—
1764C2×C4—44no—
1765C2×C4—68no—
1766C2×C4—61no—
1767C2×C4—61no—
1768C2×C4—61no—
1769C2×C4—61no—
1770C2×C4—61no—
1771C2×C4—61no—
1772C2×C4—61no—
1773C2×C4—61no—
1774C2×C4—61no—
1775C2×C4—61no—
1776C2×C4—61no—
1777C2×C4—61no—
1778C2×C4—61no—
1779C2×C4—61no—
1780C2×C4—61no—
1781C2×C4—61no—
1782C2×C4—61no—
1783C2×C4—61no—
1784C2×C4—61no—
1785C2×C4—61no—
1786C2×C4—61no—
1787C2×C4—61no—
1788C2×C4—61no—
1789C2×C4—61no—
1790C2×C4—61no—
1791C2×C4—61no—
1792C2×C4—61no—
1793C2×C4—61no—
1794C2×C4—61no—
1795C2×C4—61no—
1796C2×C4—61no—
1797C2×C4—61no—
1798C2×C4—61no—
1799C2×C4—61no—
1800C2×C4—82no—
1801C2×C4—124no—
1802C2×C4—124no—
1803C2×C4—124no—
1804C2×C4—124no—
1805C2×C4—124no—
1806C2×C4—124no—
1807C2×C4—124no—
1808C2×C4—124no—
1809C2×C4—124no—
1810C2×C4—124no—
1811C2×C4C2×D3×D412yes—
1812C2×C4#100412yes—
1813C2×C3—24no—
1814C2×C3—42no—
1815C2×C3—42no—
1816C2×C3—81no—
1817C2×C3—81no—
1818C2×C3—81no—
1819C2×C3C2×#53511yescharacteristic
1820C2×C3D4×#4111yescharacteristic
1821C2×C3#348411yescharacteristic
1822C2×C3#349011yescharacteristic
1823C2×C3#351911yescharacteristic
1824C2×C3#353411yescharacteristic
1825C2×C3#354211yescharacteristic
1826D3—42no—
1827D3—42no—
1828D3—81no—
1829C22—22no—
1830C22—22no—
1831C22—22no—
1832C22—22no—
1833C22—22no—
1834C22—22no—
1835C22—22no—
1836C22—22no—
1837C22—22no—
1838C22—22no—
1839C22—22no—
1840C22—22no—
1841C22—41no—
1842C22—41no—
1843C22—41no—
1844C22—41no—
1845C22—41no—
1846C22—41no—
1847C22—41no—
1848C22—41no—
1849C22—41no—
1850C22—41no—
1851C22—41no—
1852C22—41no—
1853C22—41no—
1854C22—41no—
1855C22—41no—
1856C22—41no—
1857C22—41no—
1858C22—41no—
1859C22—41no—
1860C22—41no—
1861C22—41no—
1862C22—41no—
1863C22—41no—
1864C22—41no—
1865C22—41no—
1866C22—41no—
1867C22—41no—
1868C22—41no—
1869C22—41no—
1870C22—62no—
1871C22—62no—
1872C22—62no—
1873C22—62no—
1874C22—62no—
1875C22—62no—
1876C22—88no—
1877C22—88no—
1878C22—1216no—
1879C22—121no—
1880C22—121no—
1881C22—121no—
1882C22—121no—
1883C22—121no—
1884C22—121no—
1885C22—121no—
1886C22—121no—
1887C22—121no—
1888C22—121no—
1889C22—121no—
1890C22—121no—
1891C22—121no—
1892C22—121no—
1893C22—121no—
1894C22#559214yes—
1895C22C22×D3×D411yescharacteristic
1896C22C2×#100411yescharacteristic
1897C22C2×#100411yescharacteristic
1898C22C2×#100411yescharacteristic
1899C22C2×D3×#4111yescharacteristic
1900C22D3×H(5,𝔽2)11yescharacteristic
1901C22#596611yescharacteristic
1902C4—22no—
1903C4—22no—
1904C4—41no—
1905C4—41no—
1906C4—41no—
1907C4—41no—
1908C4—41no—
1909C4—41no—
1910C4—41no—
1911C4—62no—
1912C4—62no—
1913C4—62no—
1914C4—62no—
1915C4—62no—
1916C4—121no—
1917C4—121no—
1918C4—121no—
1919C4—121no—
1920C4—121no—
1921C4—121no—
1922C4—121no—
1923C4—121no—
1924C3#3835811yescharacteristic, complemented, Sylow
1925C2—24no—
1926C2—42no—
1927C2—42no—
1928C2—81no—
1929C2—81no—
1930C2—81no—
1931C2—122no—
1932C2—122no—
1933C2—241no—
1934C2C2×#559211yescharacteristic
1935C2#8595111yescharacteristic
1936C2#8631211yescharacteristic
1937C2#8661511yescharacteristic
1938C2#8662011yescharacteristic
1939C2#8662611yescharacteristic
1940C2#8666411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2410C2
hypercenter#2410D3
hypocenterC3#38358
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2410

Complements

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

NH ≅ G/Ntype
1. C2×#5806C2semidirect
2. C2×#5606C2semidirect
3. C3×#2410C2semidirect
4. #84052C2semidirect
5. #82708C2semidirect
6. #82670C2semidirect
7. #82651C2semidirect
8. #82609C2semidirect
9. #82590C2semidirect
10. #82588C2semidirect
11. #82581C2semidirect
12. C2×#4956C2semidirect
13. #82111C2semidirect
14. #77026C2semidirect
15. #77003C2semidirect
16. #76979C2semidirect
17. #76969C2semidirect
18. #76768C2semidirect
19. #76723C2semidirect
20. #76701C2semidirect
21. #76672C2semidirect
22. #74935C2semidirect
23. #74885C2semidirect
24. #74808C2semidirect
25. #74740C2semidirect
26. #74674C2semidirect
27. #74667C2semidirect
28. #74516C2semidirect
29. #74496C2semidirect
30. #73858C2semidirect
31. #73821C2semidirect
36. C22×#237C22semidirect
37. C23×C4×D3C22semidirect
41. C2×C3×#120C22semidirect
46. C2×#953C22semidirect
48. C22×#217C22semidirect
51. C2×#940C22semidirect
53. C2×#939C22semidirect
54. C2×#939C22semidirect
55. C2×#938C22semidirect
56. C2×#938C22semidirect
59. C2×#937C22semidirect
60. C2×#936C22semidirect
62. C2×#935C22semidirect
63. C2×#935C22semidirect
65. C2×D4×Dic3C22semidirect
66. C2×C4×#67C22semidirect
67. C22×(C2×D3)⋊C4C22semidirect
68. C2×#924C22semidirect
69. C2×#924C22semidirect
71. C2×#897C22semidirect
72. C2×#892C22semidirect
73. C2×#885C22semidirect
74. C2×#884C22semidirect
75. C2×#884C22semidirect
76. C2×#883C22semidirect
77. C2×#883C22semidirect
78. C2×#882C22semidirect
79. C2×#67⋊C4C22semidirect
80. C2×#67⋊C4C22semidirect
81. C3×#394C22semidirect
82. C3×#394C22semidirect
83. C3×#392C22semidirect
84. C3×#392C22semidirect
87. C3×#386C22semidirect
88. C3×#385C22semidirect
89. C3×#379C22semidirect
96. #5223C22semidirect
97. #5223C22semidirect
98. #5223C22semidirect
99. #5223C22semidirect
100. #5223C22semidirect
101. #5222C22semidirect
102. #5222C22semidirect
105. #5220C22semidirect
106. #5220C22semidirect
107. #5220C22semidirect
108. #5220C22semidirect
111. #5213C22semidirect
112. #5213C22semidirect
113. C4×#217C22semidirect
114. C2×C3⋊#95C22semidirect
115. C2×C3⋊#95C22semidirect
116. #4993C22semidirect
117. #4993C22semidirect
118. #4990C22semidirect
119. #4989C22semidirect
120. #4982C22semidirect
121. #4979C22semidirect
122. #4961C22semidirect
123. #4961C22semidirect
125. #4960C22semidirect
126. #4960C22semidirect
127. #4960C22semidirect
128. #4959C22semidirect
129. #4959C22semidirect
130. #4958C22semidirect
131. #4958C22semidirect
132. #4958C22semidirect
134. #4957C22semidirect
135. #4957C22semidirect
136. #4957C22semidirect
137. #4957C22semidirect
138. #4957C22semidirect
139. #4957C22semidirect
144. #4956C22semidirect
145. #4956C22semidirect
146. #4956C22semidirect
147. #4956C22semidirect
148. #4956C22semidirect
149. #4956C22semidirect
150. #4956C22semidirect
151. #4952C22semidirect
152. #4952C22semidirect
153. #4952C22semidirect
154. #4951C22semidirect
155. #4951C22semidirect
156. #4948C22semidirect
157. #4948C22semidirect
158. #4947C22semidirect
159. #4947C22semidirect
160. #4947C22semidirect
161. #4946C22semidirect
162. #4945C22semidirect
163. #4945C22semidirect
164. #4945C22semidirect
165. #4945C22semidirect
166. #4944C22semidirect
167. #4944C22semidirect
168. #4944C22semidirect
169. #4943C22semidirect
170. #4943C22semidirect
171. #4942C22semidirect
172. Dic3×C22⋊C4C22semidirect
173. Dic3×C22⋊C4C22semidirect
174. #4673C22semidirect
175. #4673C22semidirect
176. #4667C22semidirect
177. #4667C22semidirect
178. #4665C22semidirect
179. #4665C22semidirect
180. #4665C22semidirect
181. #4665C22semidirect
182. #4660C22semidirect
183. #4658C22semidirect
184. #4654C22semidirect
185. #4653C22semidirect
186. #4651C22semidirect
187. #4650C22semidirect
188. #4648C22semidirect
189. #4646C22semidirect
213. #2410D3semidirect
350. D4×Dic3D4semidirect
469. C2×#120C2×D3semidirect
497. #394C2×D3semidirect
498. #394C2×D3semidirect
518. #392C2×D3semidirect
519. #392C2×D3semidirect
570. #386C2×D3semidirect
573. #385C2×D3semidirect
582. #379C2×D3semidirect
713. C2×#67#41semidirect
731. C22×Dic3C2×D4semidirect
816. #217C2×D4semidirect
837. C4⋊Dic3C2×D4semidirect
853. C4×Dic3C2×D4semidirect
1924. C3#38358semidirect

Maximal subgroups

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

subgroupindex
C2×#58062
C2×#56062
C3×#24102
#840522
#827082
#826702
#826512
#826092
#825902
#825882
#825812
C2×#49562
#821112
#770262
#770032
#769792
#769692
#767682
#767232
#767012
#766722
#749352
#748852
#748082
#747402
#746742
#746672
#745162
#744962
#738582
#738212
#383583