Finite Group Databasebeta

← #10982808

Subgroups — #10982808

Order 768.

2590 conjugacy classes of subgroups.

The subgroup lattice has 1684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5486C211yesmaximal, characteristic, complemented
2C2×#5495C211yesmaximal, characteristic, complemented
3C3×#2342C211yesmaximal, characteristic, complemented
4#82277C211yesmaximal, characteristic, complemented
5#82273C211yesmaximal, characteristic, complemented
6#82108C211yesmaximal, characteristic, complemented
7C2×#4961C211yesmaximal, characteristic, complemented
8#75851C211yesmaximal, characteristic, complemented
9#75850C211yesmaximal, characteristic, complemented
10#75519C211yesmaximal, characteristic, complemented
11#75519C211yesmaximal, characteristic, complemented
12#75516C211yesmaximal, characteristic, complemented
13#75516C211yesmaximal, characteristic, complemented
14#75513C211yesmaximal, characteristic, complemented
15#75507C211yesmaximal, characteristic, complemented
16#74415C211yesmaximal, characteristic, complemented
17#74413C211yesmaximal, characteristic, complemented
18#74407C211yesmaximal, characteristic, complemented
19#74406C211yesmaximal, characteristic, complemented
20#74133C211yesmaximal, characteristic, complemented
21#74091C211yesmaximal, characteristic, complemented
22#74034C211yesmaximal, characteristic, complemented
23#74026C211yesmaximal, characteristic, complemented
24#73855C211yesmaximal, characteristic
25#73833C211yesmaximal, characteristic, complemented
26#73608C211yesmaximal, characteristic, complemented
27#73583C211yesmaximal, characteristic, complemented
28#73577C211yesmaximal, characteristic, complemented
29#73575C211yesmaximal, characteristic, complemented
30#73464C211yesmaximal, characteristic, complemented
31#73456C211yesmaximal, characteristic, complemented
32#35751—31nomaximal, Sylow
33C23×#67C2211yescharacteristic
34C2×C3×#117C2211yescharacteristic, complemented
35C22×C3×C22⋊C4C2211yescharacteristic
36C22×C3×C22⋊C4C2211yescharacteristic
37C2×#953C2211yescharacteristic
38C22×#217C2211yescharacteristic
39C22×#217C2211yescharacteristic
40C2×#929C2211yescharacteristic, complemented
41C2×C4×#67C2211yescharacteristic
42C2×C4×#67C2211yescharacteristic
43C2×C4×#67C2211yescharacteristic
44C2×C4×#67C2211yescharacteristic
45C2×C4×#67C2211yescharacteristic, complemented
46C22×(C2×D3)⋊C4C2211yescharacteristic
47C22×(C2×D3)⋊C4C2211yescharacteristic
48C2×#926C2211yescharacteristic, complemented
49C22×C4⋊Dic3C2211yescharacteristic
50C2×#924C2211yescharacteristic, complemented
51C2×#897C2211yescharacteristic, complemented
52#5495—28no—
53C2×#886C2211yescharacteristic
54C2×#886C2211yescharacteristic
55C2×#886C2211yescharacteristic, complemented
56C2×#885C2211yescharacteristic, complemented
57C2×#883C2211yescharacteristic, complemented
58C2×#882C2211yescharacteristic
59#5486—28no—
60C2×#67⋊C4C2211yescharacteristic
61C2×#67⋊C4C2211yescharacteristic
62C2×#67⋊C4C2211yescharacteristic
63C2×#67⋊C4C2211yescharacteristic
64C2×#67⋊C4C2211yescharacteristic
65C2×D3×C22⋊C4C2211yescharacteristic
66C2×D3×C22⋊C4C2211yescharacteristic
67C2×#879C2211yescharacteristic, complemented
68C2×#879C2211yescharacteristic, complemented
69C2×#878C2211yescharacteristic
70C2×#877C2211yescharacteristic
71C2×#877C2211yescharacteristic
72C2×#877C2211yescharacteristic
73C2×C4×D12C2211yescharacteristic, complemented
74C3×#388C2211yescharacteristic, complemented
75C3×#388C2211yescharacteristic, complemented
76C3×#388C2211yescharacteristic, complemented
77C3×#388C2211yescharacteristic, complemented
78C3×#385C2211yescharacteristic
79C3×#385C2211yescharacteristic
80C3×#381C2211yescharacteristic, complemented
81C3×#380C2211yescharacteristic, complemented
82C3×#379C2211yescharacteristic
83C3×C4×C22⋊C4C2211yescharacteristic
84C3×C4×C22⋊C4C2211yescharacteristic
85C3×C4×C22⋊C4C2211yescharacteristic, complemented
86#5213C2211yescharacteristic
87#5213C2211yescharacteristic
88#5212C2211yescharacteristic
89#5212C2211yescharacteristic
90C2×C3⋊#95C2211yescharacteristic
91#4994C2211yescharacteristic, complemented
92#4994C2211yescharacteristic, complemented
93#4994C2211yescharacteristic, complemented
94#4994C2211yescharacteristic, complemented
95#4991C2211yescharacteristic, complemented
96#4991C2211yescharacteristic, complemented
97#4987C2211yescharacteristic, complemented
98#4987C2211yescharacteristic, complemented
99#4987C2211yescharacteristic, complemented
100#4984C2211yescharacteristic, complemented
101#4984C2211yescharacteristic, complemented
102#4984C2211yescharacteristic, complemented
103#4981C2211yescharacteristic, complemented
104#4981C2211yescharacteristic, complemented
105#4973C2211yescharacteristic, complemented
106#4961C2211yescharacteristic
107#4961C2211yescharacteristic
108#4961C2211yescharacteristic
109#4961C2211yescharacteristic
110#4961C2211yescharacteristic
111#4961C2211yescharacteristic
112#4961C2211yescharacteristic
113#4961C2211yescharacteristic
114#4961C2211yescharacteristic
115#4961C2211yescharacteristic
116#4961C2211yescharacteristic
117#4961C2211yescharacteristic
118#4961C2211yescharacteristic, complemented
119#4961C2211yescharacteristic, complemented
120#4960C2211yescharacteristic
121#4960C2211yescharacteristic
122#4960C2211yescharacteristic
123#4960C2211yescharacteristic
124#4958C2211yescharacteristic, complemented
125#4955C2211yescharacteristic
126#4953C2211yescharacteristic, complemented
127#4953C2211yescharacteristic, complemented
128#4953C2211yescharacteristic, complemented
129#4953C2211yescharacteristic, complemented
130#4953C2211yescharacteristic, complemented
131#4953C2211yescharacteristic, complemented
132#4950C2211yescharacteristic
133#4950C2211yescharacteristic
134#4950C2211yescharacteristic, complemented
135#4950C2211yescharacteristic, complemented
136#4950C2211yescharacteristic, complemented
137#4943C2211yescharacteristic
138#4943C2211yescharacteristic
139#4943C2211yescharacteristic
140#4943C2211yescharacteristic, complemented
141#4943C2211yescharacteristic, complemented
142#4943C2211yescharacteristic, complemented
143#4940C2211yescharacteristic, complemented
144#4940C2211yescharacteristic, complemented
145#4940C2211yescharacteristic, complemented
146#4940C2211yescharacteristic, complemented
147#4939C2211yescharacteristic, complemented
148C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
149C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
150C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
151C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
152C4×C4⋊Dic3C2211yescharacteristic, complemented
153C4×C4⋊Dic3C2211yescharacteristic, complemented
154C4×C4⋊Dic3C2211yescharacteristic, complemented
155#4928C2211yescharacteristic, complemented
156#4928C2211yescharacteristic, complemented
157#4928C2211yescharacteristic, complemented
158#4677C2211yescharacteristic, complemented
159#4674C2211yescharacteristic, complemented
160#4674C2211yescharacteristic, complemented
161#4673C2211yescharacteristic, complemented
162#4670C2211yescharacteristic, complemented
163#4670C2211yescharacteristic, complemented
164#4670C2211yescharacteristic, complemented
165#4670C2211yescharacteristic, complemented
166#4670C2211yescharacteristic, complemented
167#4670C2211yescharacteristic, complemented
168#4668C2211yescharacteristic, complemented
169#4668C2211yescharacteristic, complemented
170#4668C2211yescharacteristic, complemented
171#4668C2211yescharacteristic, complemented
172#4668C2211yescharacteristic, complemented
173#4668C2211yescharacteristic, complemented
174#4665C2211yescharacteristic, complemented
175#4665C2211yescharacteristic, complemented
176#4665C2211yescharacteristic, complemented
177#4665C2211yescharacteristic, complemented
178#4661C2211yescharacteristic, complemented
179#4661C2211yescharacteristic, complemented
180#4659C2211yescharacteristic, complemented
181#4656C2211yescharacteristic, complemented
182#4653C2211yescharacteristic, complemented
183#4653C2211yescharacteristic, complemented
184#4653C2211yescharacteristic, complemented
185#4653C2211yescharacteristic, complemented
186#4653C2211yescharacteristic, complemented
187#4653C2211yescharacteristic, complemented
188#4653C2211yescharacteristic, complemented
189#4653C2211yescharacteristic, complemented
190C2×#551—31no—
191C2×#518—31no—
192#2638—31no—
193#2630—31no—
194#2613—31no—
195#2602—31no—
196#2600—31no—
197#2485—31no—
198#2483—31no—
199#2468—31no—
200#2468—31no—
201#2466—31no—
202#2466—31no—
203#2461—31no—
204#2459—31no—
205#2457—31no—
206#2455—31no—
207#2438—31no—
208#2437—31no—
209#2415—31no—
210#2413—31no—
211#2412—31no—
212#2412—31no—
213#2395—31no—
214#2392—31no—
215C2×#394—31no—
216#2359—31no—
217#2358—31no—
218#2344—31no—
219#2342—31no—
220#2342D311yescharacteristic, complemented
221C25×C3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C23×C3×C4C2311yescharacteristic
224C23×C3×C4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C22×#67—24no—
228C22×#67—24no—
229C22×#67—24no—
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C23×Dic3C2311yescharacteristic
238C23×Dic3C2311yescharacteristic
239C23×Dic3C2311yescharacteristic
240C23×Dic3C2311yescharacteristic
241C23×Dic3C2311yescharacteristic
242C22×D12C2311yescharacteristic
243C22×D12C2311yescharacteristic
244C22×C4×D3C2311yescharacteristic
245C22×C4×D3C2311yescharacteristic
246C22×C4×D3C2311yescharacteristic
247C22×C4×D3C2311yescharacteristic
248C22×C4×D3C2311yescharacteristic
249C22×Dic6C2311yescharacteristic
250C3×#117—42no—
251C2×C3×C4⋊C4C2311yescharacteristic
252C2×C3×C4⋊C4C2311yescharacteristic
253C2×C3×C4⋊C4C2311yescharacteristic
254C2×C3×C4⋊C4C2311yescharacteristic
255C2×C3×C22⋊C4—42no—
256C2×C3×C22⋊C4D418yescomplemented
257C2×C3×C22⋊C4C2311yescharacteristic
258C2×C3×C22⋊C4C2311yescharacteristic
259C2×C3×C22⋊C4C2311yescharacteristic
260C2×C3×C22⋊C4C2311yescharacteristic
261C2×C3×C22⋊C4C2311yescharacteristic
262C2×C3×C22⋊C4C2311yescharacteristic
263C2×C3×C22⋊C4C2311yescharacteristic
264C2×C3×C22⋊C4C2311yescharacteristic
265C2×C3×C22⋊C4C2311yescharacteristic
266C2×C3×C22⋊C4C2311yescharacteristic
267C2×C3×C22⋊C4C2311yescharacteristic
268C2×C3×C22⋊C4C2311yescharacteristic
269C2×C3×C22⋊C4C2311yescharacteristic
270C2×C3×C22⋊C4C2311yescharacteristic
271C2×C3×C42C2311yescharacteristic
272C2×C3×C42C2311yescharacteristic
273C2×C3×C42C2311yescharacteristic
274C2×C3×C42C2311yescharacteristic
275#953—24no—
276C2×#217—24no—
277C2×#217—24no—
278C2×#217C2311yescharacteristic
279C2×#217C2311yescharacteristic
280C2×#217C2311yescharacteristic
281C2×#217C2311yescharacteristic
282C2×#217C2311yescharacteristic
283C2×#217C2311yescharacteristic
284C2×#217C2311yescharacteristic
285C2×#217C2311yescharacteristic
286C2×#217C2311yescharacteristic
287C2×#217C2311yescharacteristic
288C2×#217C2311yescharacteristic
289#929—24no—
290C4×#67—24no—
291C4×#67—24no—
292C4×#67—24no—
293C4×#67—24no—
294C4×#67—24no—
295C2×(C2×D3)⋊C4—24no—
296C2×(C2×D3)⋊C4—42no—
297C2×(C2×D3)⋊C4C2311yescharacteristic
298C2×(C2×D3)⋊C4C2311yescharacteristic
299C2×(C2×D3)⋊C4C2311yescharacteristic
300C2×(C2×D3)⋊C4C2311yescharacteristic
301C2×(C2×D3)⋊C4C2311yescharacteristic
302C2×(C2×D3)⋊C4C2311yescharacteristic
303C2×(C2×D3)⋊C4C2311yescharacteristic
304C2×(C2×D3)⋊C4C2311yescharacteristic
305C2×(C2×D3)⋊C4C2311yescharacteristic
306C2×(C2×D3)⋊C4C2311yescharacteristic
307C2×(C2×D3)⋊C4C2311yescharacteristic
308C2×(C2×D3)⋊C4C2311yescharacteristic
309C2×(C2×D3)⋊C4C2311yescharacteristic
310C2×(C2×D3)⋊C4C2311yescharacteristic
311C2×(C2×D3)⋊C4C2311yescharacteristic
312C2×(C2×D3)⋊C4C2311yescharacteristic
313C2×(C2×D3)⋊C4C2311yescharacteristic
314C2×(C2×D3)⋊C4C2311yescharacteristic
315C2×(C2×D3)⋊C4C2311yescharacteristic
316C2×(C2×D3)⋊C4C2311yescharacteristic
317C2×(C2×D3)⋊C4C2311yescharacteristic
318C2×(C2×D3)⋊C4C2311yescharacteristic
319C2×(C2×D3)⋊C4C2311yescharacteristic
320C2×(C2×D3)⋊C4C2311yescharacteristic
321C2×(C2×D3)⋊C4C2311yescharacteristic
322C2×(C2×D3)⋊C4C2311yescharacteristic
323C2×(C2×D3)⋊C4C2311yescharacteristic
324#926—24no—
325C2×C4⋊Dic3—24no—
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
342C2×C4⋊Dic3C2311yescharacteristic
343#924—24no—
344C2×Dic3⋊C4C2311yescharacteristic
345C2×Dic3⋊C4C2311yescharacteristic
346C2×Dic3⋊C4C2311yescharacteristic
347C2×Dic3⋊C4C2311yescharacteristic
348C2×Dic3⋊C4C2311yescharacteristic
349C2×Dic3⋊C4C2311yescharacteristic
350C2×Dic3⋊C4C2311yescharacteristic
351C2×Dic3⋊C4C2311yescharacteristic
352C2×Dic3⋊C4C2311yescharacteristic
353C2×C4×Dic3C2311yescharacteristic
354C2×C4×Dic3C2311yescharacteristic
355C2×C4×Dic3C2311yescharacteristic
356C2×C4×Dic3C2311yescharacteristic
357C2×C4×Dic3C2311yescharacteristic
358C2×C4×Dic3C2311yescharacteristic
359C2×C4×Dic3C2311yescharacteristic
360#897—42no—
361#886—24no—
362#886—24no—
363#886—42no—
364#885—24no—
365#883—24no—
366#882—24no—
367#67⋊C4—24no—
368#67⋊C4—24no—
369#67⋊C4—24no—
370#67⋊C4—24no—
371#67⋊C4—24no—
372D3×C22⋊C4—24no—
373D3×C22⋊C4—24no—
374#879—24no—
375#879—24no—
376#878—24no—
377#877—24no—
378#877—24no—
379#877—24no—
380C4×D12—42no—
381C3×#95C2311yescharacteristic
382C3×#95C2311yescharacteristic
383C3×#95C2311yescharacteristic
384C3×#95C2311yescharacteristic
385C3×#95C2311yescharacteristic
386C3×#95C2311yescharacteristic
387C3×#95C2311yescharacteristic
388C3×#95C2311yescharacteristic
389C3⋊#95C2311yescharacteristic
390C3⋊#95C2311yescharacteristic
391C3⋊#95C2311yescharacteristic
392C3⋊#95C2311yescharacteristic
393C3⋊#95C2311yescharacteristic
394C3⋊#95C2311yescharacteristic
395C3⋊#95C2311yescharacteristic
396C3⋊#95C2311yescharacteristic
397C3⋊#95C2311yescharacteristic
398C3⋊#95C2311yescharacteristic
399C3⋊#95C2311yescharacteristic
400C3⋊#95C2311yescharacteristic
401C3⋊#95C2311yescharacteristic
402C3⋊#95C2311yescharacteristic
403C3⋊#95C2311yescharacteristic
404C3⋊#95C2311yescharacteristic
405C3⋊#95C2311yescharacteristic
406C3⋊#95C2311yescharacteristic
407C3⋊#95C2311yescharacteristic
408C3⋊#95C2311yescharacteristic
409C3⋊#95C2311yescharacteristic
410C3⋊#95C2311yescharacteristic
411C3⋊#95C2311yescharacteristic
412C3⋊#95C2311yescharacteristic
413C3⋊#95C2311yescharacteristic
414C3⋊#95C2311yescharacteristic
415C3⋊#95C2311yescharacteristic
416C3⋊#95C2311yescharacteristic
417C23×D4—31no—
418#551—68no—
419C2×#126—31no—
420C2×#126—31no—
421C2×#124—31no—
422C2×#123—31no—
423C2×#123—31no—
424C2×#123—31no—
425C2×#123—31no—
426C2×#123—31no—
427C2×C22⋊Q8—31no—
428C2×C22⋊Q8—31no—
429C2×C22⋊Q8—31no—
430C2×#120—31no—
431C2×#120—31no—
432#518—68no—
433C2×C4×D4—31no—
434C2×C4×D4—31no—
435C2×C4×D4—31no—
436C2×C4×D4—31no—
437C2×C4×D4—31no—
438C2×C4×D4—31no—
439C2×C4×D4—31no—
440C2×C4×D4—31no—
441C2×C4×D4—31no—
442C2×C4×D4—31no—
443C2×C4×D4—31no—
444C2×#117—31no—
445C2×#117—31no—
446C2×#117—31no—
447C2×#117—31no—
448C2×#117C2×D311yescharacteristic, complemented
449C22×C4⋊C4—31no—
450C22×C22⋊C4—31no—
451C22×C22⋊C4—31no—
452C22×C22⋊C4—31no—
453C22×C22⋊C4—31no—
454C22×C22⋊C4—31no—
455C22×C22⋊C4—31no—
456C22×C22⋊C4C2×D311yescharacteristic
457C22×C22⋊C4C2×D311yescharacteristic
458#400—31no—
459#399—31no—
460#398—31no—
461#398—31no—
462#398—31no—
463#398—31no—
464#397—31no—
465#397—31no—
466#397—31no—
467#397—31no—
468#397—31no—
469#397—31no—
470#397—31no—
471#397—31no—
472#396—31no—
473#396—31no—
474#396—31no—
475#396—31no—
476#395—31no—
477#394—31no—
478#394—31no—
479#394—31no—
480#394—31no—
481#394—31no—
482#394—31no—
483#394—31no—
484#394—31no—
485#394—31no—
486#394—31no—
487#394—31no—
488#394—31no—
489#394—31no—
490#394—31no—
491#394—31no—
492#394—31no—
493#393—31no—
494#392—31no—
495#392—31no—
496#392—31no—
497#392—31no—
498#391—31no—
499#390—31no—
500#389—31no—
501#389—31no—
502#389—31no—
503#389—31no—
504#389—31no—
505#389—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#388C2×D311yescharacteristic, complemented
517#388C2×D311yescharacteristic, complemented
518#388C2×D311yescharacteristic, complemented
519#388C2×D311yescharacteristic, complemented
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#386—31no—
529#386—31no—
530#386—31no—
531#386—31no—
532#386—31no—
533#386—31no—
534#386—31no—
535#385—31no—
536#385—31no—
537#385—31no—
538#385—31no—
539#385—31no—
540#385—31no—
541#385—31no—
542#385—31no—
543#385—31no—
544#385—31no—
545#385—31no—
546#385C2×D311yescharacteristic
547#385C2×D311yescharacteristic
548#381—31no—
549#381—31no—
550#381—31no—
551#381—31no—
552#381—31no—
553#381—31no—
554#381C2×D311yescharacteristic, complemented
555#380—31no—
556#380—31no—
557#380—31no—
558#380—31no—
559#380—31no—
560#380C2×D311yescharacteristic, complemented
561#379—31no—
562#379C2×D311yescharacteristic
563C4×C4⋊C4—31no—
564C4×C4⋊C4—31no—
565C4×C4⋊C4—31no—
566C4×C22⋊C4—31no—
567C4×C22⋊C4—31no—
568C4×C22⋊C4—31no—
569C4×C22⋊C4—31no—
570C4×C22⋊C4C2×D311yescharacteristic
571C4×C22⋊C4C2×D311yescharacteristic
572C4×C22⋊C4C2×D311yescharacteristic, complemented
573C2×#95—31no—
574C24×C3—22no—
575C24×C3—22no—
576C24×C3—41no—
577C24×C3—41no—
578C24×C3—41no—
579C24×C3—41no—
580C24×C3C2×D414yes—
581C24×C3C2411yescharacteristic
582C24×C3C2411yescharacteristic
583C24×C3C2411yescharacteristic
584C23×D3—22no—
585C23×D3—22no—
586C23×D3—41no—
587C23×D3—41no—
588C23×D3—41no—
589C23×D3—41no—
590C23×D3#4114yes—
591C23×D3C2411yescharacteristic
592C23×D3C2411yescharacteristic
593C23×D3C2411yescharacteristic
594C22×C3×C4—22no—
595C22×C3×C4—22no—
596C22×C3×C4—22no—
597C22×C3×C4—41no—
598C22×C3×C4—41no—
599C22×C3×C4—41no—
600C22×C3×C4—41no—
601C22×C3×C4—41no—
602C22×C3×C4—41no—
603C22×C3×C4—41no—
604C22×C3×C4C2×D414yes—
605C22×C3×C4C2×D414yes—
606C22×C3×C4C2411yescharacteristic
607C22×C3×C4C2411yescharacteristic
608C22×C3×C4C2411yescharacteristic
609C22×C3×C4C2411yescharacteristic
610C22×C3×C4C2411yescharacteristic
611C22×C3×C4C2411yescharacteristic
612C22×C3×C4C2411yescharacteristic
613C22×C3×C4C2411yescharacteristic
614C22×C3×C4C2411yescharacteristic
615C22×C3×C4C2411yescharacteristic
616C22×C3×C4C2411yescharacteristic
617C22×C3×C4C2411yescharacteristic
618C2×#67—232no—
619C2×#67—22no—
620C2×#67—22no—
621C2×#67—22no—
622C2×#67—22no—
623C2×#67—22no—
624C2×#67—22no—
625C2×#67—22no—
626C2×#67—22no—
627C2×#67—22no—
628C2×#67—22no—
629C2×#67—22no—
630C2×#67—22no—
631C2×#67—22no—
632C2×#67—22no—
633C2×#67—22no—
634C2×#67—22no—
635C2×#67—22no—
636C2×#67—41no—
637C2×#67—41no—
638C2×#67—41no—
639C2×#67—41no—
640C22×Dic3—22no—
641C22×Dic3—22no—
642C22×Dic3—22no—
643C22×Dic3—22no—
644C22×Dic3—22no—
645C22×Dic3—22no—
646C22×Dic3—22no—
647C22×Dic3—22no—
648C22×Dic3—41no—
649C22×Dic3—41no—
650C22×Dic3—41no—
651C22×Dic3—41no—
652C22×Dic3—41no—
653C22×Dic3—41no—
654C22×Dic3#4114yes—
655C22×Dic3C2411yescharacteristic
656C22×Dic3C2411yescharacteristic
657C22×Dic3C2411yescharacteristic
658C22×Dic3C2411yescharacteristic
659C22×Dic3C2411yescharacteristic
660C22×Dic3C2411yescharacteristic
661C22×Dic3C2411yescharacteristic
662C22×Dic3C2411yescharacteristic
663C22×Dic3C2411yescharacteristic
664C22×Dic3C2411yescharacteristic
665C22×Dic3C2411yescharacteristic
666C22×Dic3C2411yescharacteristic
667C22×Dic3C2411yescharacteristic
668C2×D12—22no—
669C2×D12—22no—
670C2×D12—41no—
671C2×D12—41no—
672C2×D12—41no—
673C2×D12—41no—
674C2×C4×D3—22no—
675C2×C4×D3—22no—
676C2×C4×D3—22no—
677C2×C4×D3—22no—
678C2×C4×D3—22no—
679C2×C4×D3—41no—
680C2×C4×D3—41no—
681C2×C4×D3—41no—
682C2×C4×D3—41no—
683C2×C4×D3—41no—
684C2×C4×D3—41no—
685C2×C4×D3—41no—
686C2×C4×D3—41no—
687C2×C4×D3—41no—
688C2×C4×D3—41no—
689C2×Dic6—22no—
690C2×Dic6—41no—
691C2×Dic6—41no—
692C3×C4⋊C4—22no—
693C3×C4⋊C4—41no—
694C3×C4⋊C4—41no—
695C3×C4⋊C4—41no—
696C3×C22⋊C4—22no—
697C3×C22⋊C4—22no—
698C3×C22⋊C4—22no—
699C3×C22⋊C4—22no—
700C3×C22⋊C4—41no—
701C3×C22⋊C4—41no—
702C3×C22⋊C4—41no—
703C3×C22⋊C4—41no—
704C3×C22⋊C4—41no—
705C3×C22⋊C4—41no—
706C3×C22⋊C4C2×D414yes—
707C3×C22⋊C4C2×D414yes—
708C3×C22⋊C4C2×D414yes—
709C3×C22⋊C4C2×D414yes—
710C3×C42—22no—
711C3×C42—41no—
712C3×C42—41no—
713C3×C42—41no—
714#217—22no—
715#217—22no—
716#217—22no—
717#217—22no—
718#217—22no—
719#217—22no—
720#217—22no—
721#217—22no—
722#217—22no—
723#217—22no—
724#217—22no—
725(C2×D3)⋊C4—22no—
726(C2×D3)⋊C4—22no—
727(C2×D3)⋊C4—22no—
728(C2×D3)⋊C4—22no—
729(C2×D3)⋊C4—22no—
730(C2×D3)⋊C4—22no—
731(C2×D3)⋊C4—22no—
732(C2×D3)⋊C4—22no—
733(C2×D3)⋊C4—22no—
734(C2×D3)⋊C4—22no—
735(C2×D3)⋊C4—22no—
736(C2×D3)⋊C4—22no—
737(C2×D3)⋊C4—22no—
738(C2×D3)⋊C4—22no—
739(C2×D3)⋊C4—22no—
740(C2×D3)⋊C4—22no—
741(C2×D3)⋊C4—22no—
742(C2×D3)⋊C4—22no—
743(C2×D3)⋊C4—41no—
744(C2×D3)⋊C4—41no—
745(C2×D3)⋊C4—41no—
746(C2×D3)⋊C4—41no—
747(C2×D3)⋊C4—41no—
748(C2×D3)⋊C4—41no—
749(C2×D3)⋊C4—41no—
750(C2×D3)⋊C4—41no—
751(C2×D3)⋊C4—41no—
752C4⋊Dic3—22no—
753C4⋊Dic3—22no—
754C4⋊Dic3—22no—
755C4⋊Dic3—22no—
756C4⋊Dic3—22no—
757C4⋊Dic3—22no—
758C4⋊Dic3—22no—
759C4⋊Dic3—22no—
760C4⋊Dic3—22no—
761C4⋊Dic3—22no—
762C4⋊Dic3—41no—
763C4⋊Dic3—41no—
764C4⋊Dic3—41no—
765C4⋊Dic3—41no—
766C4⋊Dic3—41no—
767C4⋊Dic3—41no—
768C4⋊Dic3—41no—
769Dic3⋊C4—22no—
770Dic3⋊C4—22no—
771Dic3⋊C4—22no—
772Dic3⋊C4—22no—
773Dic3⋊C4—22no—
774Dic3⋊C4—22no—
775Dic3⋊C4—22no—
776Dic3⋊C4—22no—
777Dic3⋊C4—22no—
778C4×Dic3—22no—
779C4×Dic3—22no—
780C4×Dic3—22no—
781C4×Dic3—22no—
782C4×Dic3—22no—
783C4×Dic3—22no—
784C4×Dic3—22no—
785C25—31no—
786C25C22×D311yescharacteristic
787C22×Q8—31no—
788C22×D4—31no—
789C22×D4—31no—
790C22×D4—31no—
791C22×D4—31no—
792C22×D4—31no—
793C22×D4—31no—
794C22×D4—31no—
795C22×D4—31no—
796C22×D4—31no—
797C22×D4—64no—
798C22×D4—64no—
799C22×D4—64no—
800C23×C4—31no—
801C23×C4—31no—
802C23×C4—31no—
803C23×C4—31no—
804C23×C4—31no—
805C23×C4—31no—
806C23×C4—31no—
807C23×C4—31no—
808C23×C4—31no—
809C23×C4—31no—
810C23×C4C22×D311yescharacteristic
811C23×C4C22×D311yescharacteristic
812C23×C4C22×D311yescharacteristic
813C23×C4C22×D311yescharacteristic
814#126—64no—
815#126—64no—
816#124—64no—
817#123—64no—
818#123—64no—
819#123—64no—
820#123—64no—
821#123—122no—
822C22⋊Q8—64no—
823C22⋊Q8—64no—
824C22⋊Q8—122no—
825#120—64no—
826#120—64no—
827C4×D4—64no—
828C4×D4—64no—
829C4×D4—64no—
830C4×D4—64no—
831C4×D4—64no—
832C4×D4—64no—
833C4×D4—64no—
834C4×D4—64no—
835C4×D4—64no—
836C4×D4—64no—
837C4×D4—122no—
838#117—42no—
839#117—64no—
840#117—64no—
841#117—64no—
842#117—64no—
843C2×C4⋊C4—31no—
844C2×C4⋊C4—31no—
845C2×C4⋊C4—31no—
846C2×C4⋊C4—31no—
847C2×C4⋊C4—31no—
848C2×C4⋊C4—31no—
849C2×C4⋊C4—31no—
850C2×C4⋊C4—31no—
851C2×C4⋊C4—31no—
852C2×C4⋊C4—31no—
853C2×C4⋊C4—31no—
854C2×C4⋊C4—31no—
855C2×C4⋊C4—31no—
856C2×C4⋊C4—31no—
857C2×C4⋊C4—31no—
858C2×C4⋊C4—31no—
859C2×C4⋊C4—31no—
860C2×C4⋊C4—31no—
861C2×C4⋊C4—31no—
862C2×C4⋊C4—31no—
863C2×C4⋊C4—31no—
864C2×C4⋊C4—31no—
865C2×C4⋊C4—31no—
866C2×C4⋊C4—31no—
867C2×C4⋊C4—31no—
868C2×C4⋊C4—31no—
869C2×C4⋊C4—64no—
870C2×C4⋊C4C22×D311yescharacteristic
871C2×C4⋊C4C22×D311yescharacteristic
872C2×C4⋊C4C22×D311yescharacteristic
873C2×C4⋊C4C22×D311yescharacteristic
874C2×C22⋊C4—31no—
875C2×C22⋊C4—31no—
876C2×C22⋊C4—31no—
877C2×C22⋊C4—31no—
878C2×C22⋊C4—31no—
879C2×C22⋊C4—31no—
880C2×C22⋊C4—31no—
881C2×C22⋊C4—31no—
882C2×C22⋊C4—31no—
883C2×C22⋊C4—31no—
884C2×C22⋊C4—31no—
885C2×C22⋊C4—31no—
886C2×C22⋊C4—31no—
887C2×C22⋊C4—31no—
888C2×C22⋊C4—31no—
889C2×C22⋊C4—31no—
890C2×C22⋊C4—31no—
891C2×C22⋊C4—31no—
892C2×C22⋊C4—31no—
893C2×C22⋊C4—31no—
894C2×C22⋊C4—31no—
895C2×C22⋊C4—31no—
896C2×C22⋊C4—31no—
897C2×C22⋊C4—31no—
898C2×C22⋊C4—31no—
899C2×C22⋊C4—31no—
900C2×C22⋊C4—31no—
901C2×C22⋊C4—31no—
902C2×C22⋊C4—31no—
903C2×C22⋊C4—31no—
904C2×C22⋊C4—31no—
905C2×C22⋊C4—31no—
906C2×C22⋊C4—31no—
907C2×C22⋊C4—31no—
908C2×C22⋊C4—31no—
909C2×C22⋊C4—31no—
910C2×C22⋊C4—31no—
911C2×C22⋊C4—31no—
912C2×C22⋊C4—42no—
913C2×C22⋊C4—64no—
914C2×C22⋊C4—64no—
915C2×C22⋊C4—64no—
916C2×C22⋊C4—64no—
917C2×C22⋊C4—64no—
918C2×C22⋊C4—122no—
919C2×C22⋊C4D1218yescomplemented
920C2×C22⋊C4C22×D311yescharacteristic
921C2×C22⋊C4C22×D311yescharacteristic
922C2×C22⋊C4C22×D311yescharacteristic
923C2×C22⋊C4C22×D311yescharacteristic
924C2×C22⋊C4C22×D311yescharacteristic
925C2×C22⋊C4C22×D311yescharacteristic
926C2×C22⋊C4C22×D311yescharacteristic
927C2×C22⋊C4C22×D311yescharacteristic
928C2×C22⋊C4C22×D311yescharacteristic
929C2×C22⋊C4C22×D311yescharacteristic
930C2×C22⋊C4C22×D311yescharacteristic
931C2×C22⋊C4C22×D311yescharacteristic
932C2×C22⋊C4C22×D311yescharacteristic
933C2×C22⋊C4C22×D311yescharacteristic
934C2×C42—31no—
935C2×C42—31no—
936C2×C42—31no—
937C2×C42—31no—
938C2×C42—31no—
939C2×C42—31no—
940C2×C42—31no—
941C2×C42C22×D311yescharacteristic
942C2×C42C22×D311yescharacteristic
943C2×C42C22×D311yescharacteristic
944C2×C42C22×D311yescharacteristic
945#95—31no—
946#95—31no—
947#95—31no—
948#95—31no—
949#95—31no—
950#95—31no—
951#95—31no—
952#95—31no—
953#95—31no—
954#95—31no—
955#95—31no—
956#95—31no—
957#95—31no—
958#95—31no—
959#95—31no—
960#95—31no—
961#95—31no—
962#95—31no—
963#95—31no—
964#95—31no—
965#95—31no—
966#95—31no—
967#95—31no—
968#95—31no—
969#95—31no—
970#95—31no—
971#95—31no—
972#95—31no—
973#95C22×D311yescharacteristic
974#95C22×D311yescharacteristic
975#95C22×D311yescharacteristic
976#95C22×D311yescharacteristic
977#95C22×D311yescharacteristic
978#95C22×D311yescharacteristic
979#95C22×D311yescharacteristic
980#95C22×D311yescharacteristic
981C23×C3—21no—
982C23×C3—21no—
983C23×C3—21no—
984C23×C3—21no—
985C23×C3—21no—
986C23×C3—21no—
987C23×C3—21no—
988C23×C3—21no—
989C23×C3—21no—
990C23×C3—21no—
991C23×C3—21no—
992C23×C3—21no—
993C23×C3—21no—
994C23×C3—21no—
995C23×C3—21no—
996C23×C3—21no—
997C23×C3—28no—
998C23×C3—44no—
999C23×C3—44no—
1000C23×C3—82no—
1001C23×C3—82no—
1002C23×C3—82no—
1003C23×C3—82no—
1004C23×C3C22×D412yes—
1005C23×C3C22×D412yes—
1006C23×C3C22×D412yes—
1007C23×C3C2×#4112yes—
1008C23×C3C2×#4112yes—
1009C23×C3C2511yescharacteristic
1010C22×D3—21no—
1011C22×D3—21no—
1012C22×D3—21no—
1013C22×D3—21no—
1014C22×D3—21no—
1015C22×D3—21no—
1016C22×D3—21no—
1017C22×D3—21no—
1018C22×D3—21no—
1019C22×D3—21no—
1020C22×D3—21no—
1021C22×D3—21no—
1022C22×D3—28no—
1023C22×D3—21no—
1024C22×D3—21no—
1025C22×D3—21no—
1026C22×D3—21no—
1027C22×D3—21no—
1028C22×D3—21no—
1029C22×D3—21no—
1030C22×D3—44no—
1031C22×D3—44no—
1032C22×D3—82no—
1033C22×D3—82no—
1034C22×D3—82no—
1035C22×D3—82no—
1036C22×D3C2×#4112yes—
1037C22×D3C2×#4112yes—
1038C2×C3×C4—21no—
1039C2×C3×C4—21no—
1040C2×C3×C4—21no—
1041C2×C3×C4—21no—
1042C2×C3×C4—21no—
1043C2×C3×C4—21no—
1044C2×C3×C4—21no—
1045C2×C3×C4—21no—
1046C2×C3×C4—21no—
1047C2×C3×C4—21no—
1048C2×C3×C4—21no—
1049C2×C3×C4—21no—
1050C2×C3×C4—21no—
1051C2×C3×C4—21no—
1052C2×C3×C4—21no—
1053C2×C3×C4—21no—
1054C2×C3×C4—21no—
1055C2×C3×C4—21no—
1056C2×C3×C4—21no—
1057C2×C3×C4—21no—
1058C2×C3×C4—21no—
1059C2×C3×C4—21no—
1060C2×C3×C4—21no—
1061C2×C3×C4—21no—
1062C2×C3×C4—21no—
1063C2×C3×C4—21no—
1064C2×C3×C4—21no—
1065C2×C3×C4—21no—
1066C2×C3×C4—21no—
1067C2×C3×C4—21no—
1068C2×C3×C4—21no—
1069C2×C3×C4—44no—
1070C2×C3×C4—44no—
1071C2×C3×C4—44no—
1072C2×C3×C4—82no—
1073C2×C3×C4C22×D412yes—
1074C2×C3×C4C22×D412yes—
1075C2×C3×C4C22×D412yes—
1076C2×C3×C4C22×D412yes—
1077C2×C3×C4H(5,𝔽2)12yes—
1078#67—28no—
1079#67—28no—
1080#67—28no—
1081#67—28no—
1082#67—44no—
1083#67—44no—
1084#67—82no—
1085C2×Dic3—28no—
1086C2×Dic3—21no—
1087C2×Dic3—21no—
1088C2×Dic3—21no—
1089C2×Dic3—21no—
1090C2×Dic3—21no—
1091C2×Dic3—21no—
1092C2×Dic3—21no—
1093C2×Dic3—21no—
1094C2×Dic3—21no—
1095C2×Dic3—21no—
1096C2×Dic3—21no—
1097C2×Dic3—21no—
1098C2×Dic3—21no—
1099C2×Dic3—21no—
1100C2×Dic3—21no—
1101C2×Dic3—21no—
1102C2×Dic3—21no—
1103C2×Dic3—21no—
1104C2×Dic3—21no—
1105C2×Dic3—21no—
1106C2×Dic3—21no—
1107C2×Dic3—21no—
1108C2×Dic3—21no—
1109C2×Dic3—21no—
1110C2×Dic3—21no—
1111C2×Dic3—21no—
1112C2×Dic3—21no—
1113C2×Dic3—21no—
1114C2×Dic3—21no—
1115C2×Dic3—21no—
1116C2×Dic3—21no—
1117C2×Dic3—21no—
1118C2×Dic3—21no—
1119C2×Dic3—21no—
1120C2×Dic3—21no—
1121C2×Dic3—21no—
1122C2×Dic3—21no—
1123C2×Dic3—44no—
1124C2×Dic3—82no—
1125C2×Dic3—82no—
1126C2×Dic3—82no—
1127C2×Dic3C2×#4112yes—
1128C2×Dic3C2×#4112yes—
1129D12—44no—
1130D12—82no—
1131C4×D3—82no—
1132C4×D3—82no—
1133C4×D3—82no—
1134C4×D3—82no—
1135C4×D3—82no—
1136Dic6—82no—
1137C24—22no—
1138C24—22no—
1139C24—31no—
1140C24—31no—
1141C24—34no—
1142C24—31no—
1143C24—41no—
1144C24—41no—
1145C24—41no—
1146C24—41no—
1147C24—62no—
1148C24—62no—
1149C24—121no—
1150C24—121no—
1151C24—121no—
1152C24—121no—
1153C24C2×D1214yes—
1154C24C23×D311yescharacteristic
1155C24C23×D311yescharacteristic
1156C24C23×D311yescharacteristic
1157C2×Q8—62no—
1158C2×Q8—121no—
1159C2×Q8—121no—
1160C2×D4—62no—
1161C2×D4—62no—
1162C2×D4—62no—
1163C2×D4—62no—
1164C2×D4—62no—
1165C2×D4—62no—
1166C2×D4—62no—
1167C2×D4—62no—
1168C2×D4—62no—
1169C2×D4—62no—
1170C2×D4—632no—
1171C2×D4—62no—
1172C2×D4—62no—
1173C2×D4—62no—
1174C2×D4—62no—
1175C2×D4—62no—
1176C2×D4—62no—
1177C2×D4—62no—
1178C2×D4—62no—
1179C2×D4—62no—
1180C2×D4—121no—
1181C2×D4—121no—
1182C2×D4—121no—
1183C2×D4—121no—
1184C2×D4—121no—
1185C2×D4—121no—
1186C2×D4—121no—
1187C2×D4—121no—
1188C22×C4—22no—
1189C22×C4—22no—
1190C22×C4—22no—
1191C22×C4—34no—
1192C22×C4—31no—
1193C22×C4—31no—
1194C22×C4—31no—
1195C22×C4—31no—
1196C22×C4—31no—
1197C22×C4—31no—
1198C22×C4—31no—
1199C22×C4—31no—
1200C22×C4—31no—
1201C22×C4—31no—
1202C22×C4—31no—
1203C22×C4—31no—
1204C22×C4—31no—
1205C22×C4—41no—
1206C22×C4—41no—
1207C22×C4—41no—
1208C22×C4—41no—
1209C22×C4—41no—
1210C22×C4—41no—
1211C22×C4—41no—
1212C22×C4—62no—
1213C22×C4—62no—
1214C22×C4—62no—
1215C22×C4—62no—
1216C22×C4—62no—
1217C22×C4—62no—
1218C22×C4—62no—
1219C22×C4—62no—
1220C22×C4—62no—
1221C22×C4—62no—
1222C22×C4—62no—
1223C22×C4—62no—
1224C22×C4—62no—
1225C22×C4—121no—
1226C22×C4—121no—
1227C22×C4—121no—
1228C22×C4—121no—
1229C22×C4—121no—
1230C22×C4—121no—
1231C22×C4—121no—
1232C22×C4—121no—
1233C22×C4—121no—
1234C22×C4—121no—
1235C22×C4—121no—
1236C22×C4—121no—
1237C22×C4—121no—
1238C22×C4—121no—
1239C22×C4—121no—
1240C22×C4—121no—
1241C22×C4C2×D1214yes—
1242C22×C4C2×D1214yes—
1243C22×C4C23×D311yescharacteristic
1244C22×C4C23×D311yescharacteristic
1245C22×C4C23×D311yescharacteristic
1246C22×C4C23×D311yescharacteristic
1247C22×C4C23×D311yescharacteristic
1248C22×C4C23×D311yescharacteristic
1249C22×C4C23×D311yescharacteristic
1250C22×C4C23×D311yescharacteristic
1251C22×C4C23×D311yescharacteristic
1252C22×C4C23×D311yescharacteristic
1253C22×C4C23×D311yescharacteristic
1254C22×C4C23×D311yescharacteristic
1255C4⋊C4—22no—
1256C4⋊C4—41no—
1257C4⋊C4—41no—
1258C4⋊C4—41no—
1259C4⋊C4—62no—
1260C4⋊C4—62no—
1261C4⋊C4—62no—
1262C4⋊C4—62no—
1263C4⋊C4—62no—
1264C4⋊C4—62no—
1265C4⋊C4—62no—
1266C4⋊C4—62no—
1267C4⋊C4—62no—
1268C4⋊C4—62no—
1269C4⋊C4—62no—
1270C4⋊C4—62no—
1271C4⋊C4—62no—
1272C4⋊C4—62no—
1273C4⋊C4—62no—
1274C4⋊C4—62no—
1275C4⋊C4—62no—
1276C4⋊C4—62no—
1277C4⋊C4—62no—
1278C4⋊C4—121no—
1279C4⋊C4—121no—
1280C4⋊C4—121no—
1281C4⋊C4—121no—
1282C4⋊C4—121no—
1283C4⋊C4—121no—
1284C4⋊C4—121no—
1285C22⋊C4—22no—
1286C22⋊C4—22no—
1287C22⋊C4—22no—
1288C22⋊C4—22no—
1289C22⋊C4—41no—
1290C22⋊C4—41no—
1291C22⋊C4—41no—
1292C22⋊C4—41no—
1293C22⋊C4—41no—
1294C22⋊C4—41no—
1295C22⋊C4—62no—
1296C22⋊C4—62no—
1297C22⋊C4—62no—
1298C22⋊C4—62no—
1299C22⋊C4—62no—
1300C22⋊C4—62no—
1301C22⋊C4—62no—
1302C22⋊C4—62no—
1303C22⋊C4—62no—
1304C22⋊C4—62no—
1305C22⋊C4—62no—
1306C22⋊C4—62no—
1307C22⋊C4—62no—
1308C22⋊C4—62no—
1309C22⋊C4—62no—
1310C22⋊C4—62no—
1311C22⋊C4—62no—
1312C22⋊C4—62no—
1313C22⋊C4—62no—
1314C22⋊C4—62no—
1315C22⋊C4—62no—
1316C22⋊C4—62no—
1317C22⋊C4—62no—
1318C22⋊C4—62no—
1319C22⋊C4—62no—
1320C22⋊C4—62no—
1321C22⋊C4—62no—
1322C22⋊C4—62no—
1323C22⋊C4—62no—
1324C22⋊C4—121no—
1325C22⋊C4—121no—
1326C22⋊C4—121no—
1327C22⋊C4—121no—
1328C22⋊C4—121no—
1329C22⋊C4—121no—
1330C22⋊C4—121no—
1331C22⋊C4—121no—
1332C22⋊C4—121no—
1333C22⋊C4C2×D1214yes—
1334C22⋊C4C2×D1214yes—
1335C22⋊C4C2×D1214yes—
1336C22⋊C4C2×D1214yes—
1337C42—22no—
1338C42—41no—
1339C42—41no—
1340C42—41no—
1341C42—62no—
1342C42—62no—
1343C42—62no—
1344C42—62no—
1345C42—62no—
1346C42—62no—
1347C42—62no—
1348C22×C3—22no—
1349C22×C3—22no—
1350C22×C3—22no—
1351C22×C3—22no—
1352C22×C3—22no—
1353C22×C3—22no—
1354C22×C3—22no—
1355C22×C3—22no—
1356C22×C3—22no—
1357C22×C3—22no—
1358C22×C3—22no—
1359C22×C3—22no—
1360C22×C3—41no—
1361C22×C3—41no—
1362C22×C3—41no—
1363C22×C3—41no—
1364C22×C3—41no—
1365C22×C3—41no—
1366C22×C3—41no—
1367C22×C3—41no—
1368C22×C3—88no—
1369C22×C3#52514yes—
1370C22×C3C23×D411yescharacteristic
1371C22×C3C22×#4111yescharacteristic
1372C22×C3C22×#4111yescharacteristic
1373C22×C3C2×H(5,𝔽2)11yescharacteristic
1374C22×C3#58511yescharacteristic
1375C22×C3#58511yescharacteristic
1376C22×C3#58511yescharacteristic
1377C2×D3—22no—
1378C2×D3—22no—
1379C2×D3—22no—
1380C2×D3—22no—
1381C2×D3—22no—
1382C2×D3—22no—
1383C2×D3—41no—
1384C2×D3—41no—
1385C2×D3—41no—
1386C2×D3—41no—
1387C2×D3—41no—
1388C2×D3—41no—
1389C2×D3—41no—
1390C2×D3—41no—
1391C2×D3—41no—
1392C2×D3—41no—
1393C2×D3—41no—
1394C2×D3—41no—
1395C2×D3—41no—
1396C2×D3—41no—
1397C2×D3—41no—
1398C2×D3—88no—
1399C3×C4—22no—
1400C3×C4—22no—
1401C3×C4—22no—
1402C3×C4—22no—
1403C3×C4—22no—
1404C3×C4—41no—
1405C3×C4—41no—
1406C3×C4—41no—
1407C3×C4—41no—
1408C3×C4—41no—
1409C3×C4—41no—
1410C3×C4—41no—
1411Dic3—22no—
1412Dic3—22no—
1413Dic3—41no—
1414Dic3—41no—
1415Dic3—41no—
1416Dic3—41no—
1417Dic3—41no—
1418Dic3—41no—
1419Dic3—41no—
1420Dic3—41no—
1421Dic3—41no—
1422Dic3—41no—
1423Dic3—41no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—28no—
1441C23—32no—
1442C23—32no—
1443C23—44no—
1444C23—44no—
1445C23—61no—
1446C23—61no—
1447C23—61no—
1448C23—61no—
1449C23—61no—
1450C23—61no—
1451C23—61no—
1452C23—61no—
1453C23—61no—
1454C23—61no—
1455C23—61no—
1456C23—61no—
1457C23—68no—
1458C23—61no—
1459C23—61no—
1460C23—61no—
1461C23—61no—
1462C23—61no—
1463C23—61no—
1464C23—61no—
1465C23—82no—
1466C23—82no—
1467C23—82no—
1468C23—82no—
1469C23—124no—
1470C23—124no—
1471C23—242no—
1472C23—242no—
1473C23—242no—
1474C23—242no—
1475C23C22×D1212yes—
1476C23C22×D1212yes—
1477C23C22×D1212yes—
1478C23D3×#4112yes—
1479C23D3×#4112yes—
1480C23C24×D311yescharacteristic
1481Q8—242no—
1482D4—68no—
1483D4—68no—
1484D4—68no—
1485D4—68no—
1486D4—124no—
1487D4—124no—
1488D4—124no—
1489D4—242no—
1490D4—242no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—32no—
1523C2×C4—32no—
1524C2×C4—44no—
1525C2×C4—44no—
1526C2×C4—44no—
1527C2×C4—61no—
1528C2×C4—61no—
1529C2×C4—61no—
1530C2×C4—61no—
1531C2×C4—68no—
1532C2×C4—61no—
1533C2×C4—61no—
1534C2×C4—61no—
1535C2×C4—61no—
1536C2×C4—61no—
1537C2×C4—61no—
1538C2×C4—61no—
1539C2×C4—61no—
1540C2×C4—61no—
1541C2×C4—61no—
1542C2×C4—61no—
1543C2×C4—61no—
1544C2×C4—61no—
1545C2×C4—61no—
1546C2×C4—61no—
1547C2×C4—61no—
1548C2×C4—61no—
1549C2×C4—61no—
1550C2×C4—61no—
1551C2×C4—61no—
1552C2×C4—61no—
1553C2×C4—61no—
1554C2×C4—61no—
1555C2×C4—61no—
1556C2×C4—61no—
1557C2×C4—61no—
1558C2×C4—61no—
1559C2×C4—61no—
1560C2×C4—61no—
1561C2×C4—61no—
1562C2×C4—61no—
1563C2×C4—61no—
1564C2×C4—61no—
1565C2×C4—82no—
1566C2×C4—124no—
1567C2×C4—242no—
1568C2×C4—242no—
1569C2×C4—242no—
1570C2×C4—242no—
1571C2×C4—242no—
1572C2×C4—242no—
1573C2×C4—242no—
1574C2×C4—242no—
1575C2×C4C22×D1212yes—
1576C2×C4C22×D1212yes—
1577C2×C4C22×D1212yes—
1578C2×C4C22×D1212yes—
1579C2×C4#100412yes—
1580C2×C3—24no—
1581C2×C3—42no—
1582C2×C3—42no—
1583C2×C3C2×#52511yescharacteristic
1584C2×C3#348511yescharacteristic
1585C2×C3#349111yescharacteristic
1586C2×C3#349411yescharacteristic
1587C2×C3#349611yescharacteristic
1588C2×C3#350511yescharacteristic
1589C2×C3#351011yescharacteristic
1590D3—42no—
1591D3—42no—
1592D3—81no—
1593C22—22no—
1594C22—22no—
1595C22—22no—
1596C22—22no—
1597C22—22no—
1598C22—22no—
1599C22—22no—
1600C22—22no—
1601C22—22no—
1602C22—22no—
1603C22—22no—
1604C22—22no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—62no—
1614C22—62no—
1615C22—62no—
1616C22—62no—
1617C22—62no—
1618C22—62no—
1619C22—88no—
1620C22—121no—
1621C22—121no—
1622C22—121no—
1623C22—121no—
1624C22—121no—
1625C22—121no—
1626C22—121no—
1627C22—121no—
1628C22—121no—
1629C22—121no—
1630C22—121no—
1631C22—121no—
1632C22—121no—
1633C22—121no—
1634C22—121no—
1635C22—248no—
1636C22#552414yes—
1637C22C23×D1211yescharacteristic
1638C22C2×#100411yescharacteristic
1639C22C2×D3×#4111yescharacteristic
1640C22C2×D3×#4111yescharacteristic
1641C22#596411yescharacteristic
1642C22#596611yescharacteristic
1643C22#596611yescharacteristic
1644C4—22no—
1645C4—22no—
1646C4—22no—
1647C4—22no—
1648C4—22no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—62no—
1657C4—62no—
1658C4—121no—
1659C4—121no—
1660C4—121no—
1661C4—121no—
1662C4—121no—
1663C4—121no—
1664C4—121no—
1665C4—121no—
1666C4—121no—
1667C4—121no—
1668C4—121no—
1669C3#3575111yescharacteristic, complemented, Sylow
1670C2—24no—
1671C2—42no—
1672C2—42no—
1673C2—122no—
1674C2—122no—
1675C2—241no—
1676C2C2×#552411yescharacteristic
1677C2#8578611yescharacteristic
1678C2#8585811yescharacteristic
1679C2#8663111yescharacteristic
1680C2#8666611yescharacteristic
1681C2#8679411yescharacteristic
1682C2#8681611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2342C2
prime radical#73855C2
hypercenter#2342D3
hypocenterC3#35751
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2342

Complements

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

NH ≅ G/Ntype
1. C2×#5486C2semidirect
2. C2×#5495C2semidirect
3. C3×#2342C2semidirect
4. #82277C2semidirect
5. #82273C2semidirect
6. #82108C2semidirect
7. C2×#4961C2semidirect
8. #75851C2semidirect
9. #75850C2semidirect
10. #75519C2semidirect
11. #75519C2semidirect
12. #75516C2semidirect
13. #75516C2semidirect
14. #75513C2semidirect
15. #75507C2semidirect
16. #74415C2semidirect
17. #74413C2semidirect
18. #74407C2semidirect
19. #74406C2semidirect
20. #74133C2semidirect
21. #74091C2semidirect
22. #74034C2semidirect
23. #74026C2semidirect
25. #73833C2semidirect
26. #73608C2semidirect
27. #73583C2semidirect
28. #73577C2semidirect
29. #73575C2semidirect
30. #73464C2semidirect
31. #73456C2semidirect
34. C2×C3×#117C22semidirect
40. C2×#929C22semidirect
45. C2×C4×#67C22semidirect
48. C2×#926C22semidirect
50. C2×#924C22semidirect
51. C2×#897C22semidirect
55. C2×#886C22semidirect
56. C2×#885C22semidirect
57. C2×#883C22semidirect
67. C2×#879C22semidirect
68. C2×#879C22semidirect
73. C2×C4×D12C22semidirect
74. C3×#388C22semidirect
75. C3×#388C22semidirect
76. C3×#388C22semidirect
77. C3×#388C22semidirect
80. C3×#381C22semidirect
81. C3×#380C22semidirect
85. C3×C4×C22⋊C4C22semidirect
91. #4994C22semidirect
92. #4994C22semidirect
93. #4994C22semidirect
94. #4994C22semidirect
95. #4991C22semidirect
96. #4991C22semidirect
97. #4987C22semidirect
98. #4987C22semidirect
99. #4987C22semidirect
100. #4984C22semidirect
101. #4984C22semidirect
102. #4984C22semidirect
103. #4981C22semidirect
104. #4981C22semidirect
105. #4973C22semidirect
118. #4961C22semidirect
119. #4961C22semidirect
124. #4958C22semidirect
126. #4953C22semidirect
127. #4953C22semidirect
128. #4953C22semidirect
129. #4953C22semidirect
130. #4953C22semidirect
131. #4953C22semidirect
134. #4950C22semidirect
135. #4950C22semidirect
136. #4950C22semidirect
140. #4943C22semidirect
141. #4943C22semidirect
142. #4943C22semidirect
143. #4940C22semidirect
144. #4940C22semidirect
145. #4940C22semidirect
146. #4940C22semidirect
147. #4939C22semidirect
148. C4×(C2×D3)⋊C4C22semidirect
149. C4×(C2×D3)⋊C4C22semidirect
150. C4×(C2×D3)⋊C4C22semidirect
151. C4×(C2×D3)⋊C4C22semidirect
152. C4×C4⋊Dic3C22semidirect
153. C4×C4⋊Dic3C22semidirect
154. C4×C4⋊Dic3C22semidirect
155. #4928C22semidirect
156. #4928C22semidirect
157. #4928C22semidirect
158. #4677C22semidirect
159. #4674C22semidirect
160. #4674C22semidirect
161. #4673C22semidirect
162. #4670C22semidirect
163. #4670C22semidirect
164. #4670C22semidirect
165. #4670C22semidirect
166. #4670C22semidirect
167. #4670C22semidirect
168. #4668C22semidirect
169. #4668C22semidirect
170. #4668C22semidirect
171. #4668C22semidirect
172. #4668C22semidirect
173. #4668C22semidirect
174. #4665C22semidirect
175. #4665C22semidirect
176. #4665C22semidirect
177. #4665C22semidirect
178. #4661C22semidirect
179. #4661C22semidirect
180. #4659C22semidirect
181. #4656C22semidirect
182. #4653C22semidirect
183. #4653C22semidirect
184. #4653C22semidirect
185. #4653C22semidirect
186. #4653C22semidirect
187. #4653C22semidirect
188. #4653C22semidirect
189. #4653C22semidirect
220. #2342D3semidirect
256. C2×C3×C22⋊C4D4semidirect
448. C2×#117C2×D3semidirect
516. #388C2×D3semidirect
517. #388C2×D3semidirect
518. #388C2×D3semidirect
519. #388C2×D3semidirect
554. #381C2×D3semidirect
560. #380C2×D3semidirect
572. C4×C22⋊C4C2×D3semidirect
919. C2×C22⋊C4D12semidirect
1669. C3#35751semidirect

Maximal subgroups

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

subgroupindex
C2×#54862
C2×#54952
C3×#23422
#822772
#822732
#821082
C2×#49612
#758512
#758502
#755192
#755162
#755132
#755072
#744152
#744132
#744072
#744062
#741332
#740912
#740342
#740262
#738552
#738332
#736082
#735832
#735772
#735752
#734642
#734562
#357513