Finite Group Databasebeta

← #11633202

Subgroups — #11633202

Order 768.

2902 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5829C211yesmaximal, characteristic, complemented
2C2×#5606C211yesmaximal, characteristic, complemented
3C3×#2430C211yesmaximal, characteristic, complemented
4#84088C211yesmaximal, characteristic, complemented
5#82895C211yesmaximal, characteristic, complemented
6#82847C211yesmaximal, characteristic, complemented
7#82702C211yesmaximal, characteristic, complemented
8#82670C211yesmaximal, characteristic, complemented
9#82638C211yesmaximal, characteristic, complemented
10#77267C211yesmaximal, characteristic, complemented
11#77251C211yesmaximal, characteristic, complemented
12#77119C211yesmaximal, characteristic, complemented
13#76899C211yesmaximal, characteristic, complemented
14#76867C211yesmaximal, characteristic, complemented
15#76786C211yesmaximal, characteristic, complemented
16#76773C211yesmaximal, characteristic, complemented
17#76754C211yesmaximal, characteristic, complemented
18#74890C211yesmaximal, characteristic, complemented
19#74879C211yesmaximal, characteristic, complemented
20D3×#386C211yesmaximal, characteristic, complemented
21#74810C211yesmaximal, characteristic, complemented
22#74713C211yesmaximal, characteristic, complemented
23#74711C211yesmaximal, characteristic, complemented
24#74706C211yesmaximal, characteristic, complemented
25#74672C211yesmaximal, characteristic, complemented
26#74633C211yesmaximal, characteristic, complemented
27#74604C211yesmaximal, characteristic, complemented
28#74595C211yesmaximal, characteristic, complemented
29#74419C211yesmaximal, characteristic, complemented
30C2×#4664C211yesmaximal, characteristic, complemented
31#73352C211yesmaximal, characteristic, complemented
32#59009—31nomaximal, Sylow
33C22×C3×#41C2211yescharacteristic
34C22×#237C2211yescharacteristic
35C22×D3×D4C2211yescharacteristic
36C23×C4×D3C2211yescharacteristic
37C2×C3×#123C2211yescharacteristic, complemented
38C2×C3×#121C2211yescharacteristic
39C2×C3×#121C2211yescharacteristic, complemented
40#5829—28no—
41C2×#947C2211yescharacteristic
42C2×#946C2211yescharacteristic
43C2×#939C2211yescharacteristic
44C2×#939C2211yescharacteristic
45C2×#939C2211yescharacteristic
46C2×#938C2211yescharacteristic, complemented
47C2×#937C2211yescharacteristic
48C2×#937C2211yescharacteristic
49C2×#937C2211yescharacteristic
50C2×#937C2211yescharacteristic
51C2×D4×Dic3C2211yescharacteristic
52C2×D4×Dic3C2211yescharacteristic, complemented
53C2×D4×Dic3C2211yescharacteristic, complemented
54C2×D4×Dic3C2211yescharacteristic, complemented
55C2×#930C2211yescharacteristic
56C2×#929C2211yescharacteristic
57C2×#929C2211yescharacteristic
58C2×C4×#67C2211yescharacteristic
59C22×(C2×D3)⋊C4C2211yescharacteristic
60C22×(C2×D3)⋊C4C2211yescharacteristic
61C22×(C2×D3)⋊C4C2211yescharacteristic
62C2×#924C2211yescharacteristic, complemented
63#5606—28no—
64C2×#897C2211yescharacteristic, complemented
65C2×#892C2211yescharacteristic
66C2×#883C2211yescharacteristic
67C2×#883C2211yescharacteristic
68C2×#67⋊C4C2211yescharacteristic
69C2×#67⋊C4C2211yescharacteristic, complemented
70C2×#67⋊C4C2211yescharacteristic, complemented
71C2×D3×C22⋊C4C2211yescharacteristic
72C2×D3×C22⋊C4C2211yescharacteristic
73C2×D3×C22⋊C4C2211yescharacteristic
74C3×#395C2211yescharacteristic, complemented
75C3×#394C2211yescharacteristic, complemented
76C3×#393C2211yescharacteristic, complemented
77C3×#392C2211yescharacteristic, complemented
78C3×#386C2211yescharacteristic
79C3×#386C2211yescharacteristic, complemented
80C3×#386C2211yescharacteristic, complemented
81C3×#386C2211yescharacteristic, complemented
82C3×#385C2211yescharacteristic, complemented
83C3×#385C2211yescharacteristic, complemented
84C2×C3×#95C2211yescharacteristic, complemented
85#5229C2211yescharacteristic, complemented
86#5229C2211yescharacteristic, complemented
87#5223C2211yescharacteristic
88#5223C2211yescharacteristic, complemented
89#5220C2211yescharacteristic
90#5220C2211yescharacteristic
91#5220C2211yescharacteristic, complemented
92#5220C2211yescharacteristic, complemented
93#5220C2211yescharacteristic, complemented
94#5220C2211yescharacteristic, complemented
95#5220C2211yescharacteristic, complemented
96#5220C2211yescharacteristic, complemented
97#5213C2211yescharacteristic
98#5213C2211yescharacteristic
99#5212C2211yescharacteristic, complemented
100#5211C2211yescharacteristic, complemented
101#5211C2211yescharacteristic, complemented
102C4×#217C2211yescharacteristic, complemented
103C4×#217C2211yescharacteristic, complemented
104C2×C3⋊#95C2211yescharacteristic, complemented
105C2×C3⋊#95C2211yescharacteristic, complemented
106C2×C3⋊#95C2211yescharacteristic, complemented
107C2×C3⋊#95C2211yescharacteristic, complemented
108#4994C2211yescharacteristic, complemented
109#4992C2211yescharacteristic, complemented
110#4992C2211yescharacteristic, complemented
111#4991C2211yescharacteristic
112#4990C2211yescharacteristic, complemented
113#4990C2211yescharacteristic, complemented
114#4989C2211yescharacteristic
115#4987C2211yescharacteristic
116#4987C2211yescharacteristic
117#4982C2211yescharacteristic, complemented
118#4982C2211yescharacteristic, complemented
119#4980C2211yescharacteristic, complemented
120#4980C2211yescharacteristic, complemented
121#4976C2211yescharacteristic, complemented
122#4961C2211yescharacteristic, complemented
123#4961C2211yescharacteristic, complemented
124#4961C2211yescharacteristic, complemented
125#4961C2211yescharacteristic, complemented
126#4960C2211yescharacteristic
127#4959C2211yescharacteristic
128#4959C2211yescharacteristic, complemented
129#4958C2211yescharacteristic
130#4958C2211yescharacteristic, complemented
131#4958C2211yescharacteristic, complemented
132#4958C2211yescharacteristic, complemented
133#4958C2211yescharacteristic, complemented
134#4957C2211yescharacteristic, complemented
135#4956C2211yescharacteristic
136#4956C2211yescharacteristic
137#4956C2211yescharacteristic
138#4956C2211yescharacteristic
139#4956C2211yescharacteristic
140#4956C2211yescharacteristic
141#4955C2211yescharacteristic
142#4953C2211yescharacteristic, complemented
143#4952C2211yescharacteristic, complemented
144#4952C2211yescharacteristic, complemented
145#4951C2211yescharacteristic, complemented
146#4951C2211yescharacteristic, complemented
147#4950C2211yescharacteristic, complemented
148#4950C2211yescharacteristic, complemented
149#4948C2211yescharacteristic, complemented
150#4947C2211yescharacteristic, complemented
151#4946C2211yescharacteristic, complemented
152#4945C2211yescharacteristic, complemented
153#4943C2211yescharacteristic, complemented
154#4942C2211yescharacteristic, complemented
155#4942C2211yescharacteristic, complemented
156Dic3×C22⋊C4C2211yescharacteristic, complemented
157Dic3×C22⋊C4C2211yescharacteristic, complemented
158#4675C2211yescharacteristic, complemented
159#4674C2211yescharacteristic, complemented
160#4673C2211yescharacteristic, complemented
161#4670C2211yescharacteristic, complemented
162#4670C2211yescharacteristic, complemented
163#4670C2211yescharacteristic, complemented
164#4669C2211yescharacteristic, complemented
165#4669C2211yescharacteristic, complemented
166#4668C2211yescharacteristic
167#4666C2211yescharacteristic
168#4665C2211yescharacteristic
169#4665C2211yescharacteristic
170#4664C2211yescharacteristic
171#4664C2211yescharacteristic
172#4664C2211yescharacteristic
173#4664C2211yescharacteristic
174#4664C2211yescharacteristic, complemented
175#4664C2211yescharacteristic, complemented
176#4664C2211yescharacteristic, complemented
177#4664C2211yescharacteristic, complemented
178D3×#95C2211yescharacteristic
179D3×#95C2211yescharacteristic
180#4661C2211yescharacteristic, complemented
181#4660C2211yescharacteristic, complemented
182#4660C2211yescharacteristic, complemented
183#4659C2211yescharacteristic, complemented
184#4658C2211yescharacteristic, complemented
185#4654C2211yescharacteristic, complemented
186#4653C2211yescharacteristic, complemented
187#4650C2211yescharacteristic, complemented
188#4646C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#546—31no—
191C2×#525—31no—
192#2700—31no—
193#2699—31no—
194#2688—31no—
195#2687—31no—
196#2543—31no—
197#2534—31no—
198#2488—31no—
199#2488—31no—
200#2459—31no—
201#2457—31no—
202#2450—31no—
203#2444—31no—
204#2444—31no—
205#2438—31no—
206#2430D311yescharacteristic, complemented
207#2425—31no—
208#2420—31no—
209#2419—31no—
210#2412—31no—
211#2412—31no—
212#2410—31no—
213#2404—31no—
214#2364—31no—
215#2358—31no—
216#2342—31no—
217#2339—31no—
218#2339—31no—
219C2×#386—31no—
220C2×#381—31no—
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C2×C3×#41—24no—
224C2×C3×#41—24no—
225C2×C3×#41—42no—
226C22×C3×Q8C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C22×C3×D4C2311yescharacteristic
229C22×C3×D4C2311yescharacteristic
230C22×C3×D4C2311yescharacteristic
231C22×C3×D4C2311yescharacteristic
232C22×C3×D4C2311yescharacteristic
233C23×C3×C4C2311yescharacteristic
234C23×C3×C4C2311yescharacteristic
235C23×C3×C4C2311yescharacteristic
236C23×C3×C4C2311yescharacteristic
237C23×C3×C4C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C22×#67C2311yescharacteristic
242C22×#67C2311yescharacteristic
243C22×#67C2311yescharacteristic
244C22×#67C2311yescharacteristic
245C22×#67C2311yescharacteristic
246C23×Dic3C2311yescharacteristic
247C23×Dic3C2311yescharacteristic
248C23×Dic3C2311yescharacteristic
249C23×Dic3C2311yescharacteristic
250C23×Dic3C2311yescharacteristic
251C23×Dic3C2311yescharacteristic
252C23×Dic3C2311yescharacteristic
253C2×#237—24no—
254C2×#237—24no—
255C2×#237—42no—
256C2×D3×D4—24no—
257C2×D3×D4—24no—
258C2×D3×D4—42no—
259C22×D12C2311yescharacteristic
260C22×C4×D3—24no—
261C22×C4×D3—24no—
262C22×C4×D3—42no—
263C22×C4×D3C2311yescharacteristic
264C22×C4×D3C2311yescharacteristic
265C22×C4×D3C2311yescharacteristic
266C22×C4×D3C2311yescharacteristic
267C22×C4×D3C2311yescharacteristic
268C22×C4×D3C2311yescharacteristic
269C22×C4×D3C2311yescharacteristic
270C22×Dic6C2311yescharacteristic
271C3×#123—42no—
272C3×#121—24no—
273C3×#121—24no—
274C2×C3×C4⋊C4C2311yescharacteristic
275C2×C3×C4⋊C4C2311yescharacteristic
276C2×C3×C4⋊C4C2311yescharacteristic
277C2×C3×C4⋊C4C2311yescharacteristic
278C2×C3×C22⋊C4C2311yescharacteristic
279C2×C3×C22⋊C4C2311yescharacteristic
280C2×C3×C22⋊C4C2311yescharacteristic
281C2×C3×C22⋊C4C2311yescharacteristic
282C2×C3×C22⋊C4C2311yescharacteristic
283C2×C3×C22⋊C4C2311yescharacteristic
284C2×C3×C22⋊C4C2311yescharacteristic
285C2×C3×C22⋊C4C2311yescharacteristic
286C2×C3×C22⋊C4C2311yescharacteristic
287C2×C3×C22⋊C4C2311yescharacteristic
288C2×C3×C22⋊C4C2311yescharacteristic
289C2×#217C2311yescharacteristic
290C2×#217C2311yescharacteristic
291C2×#217C2311yescharacteristic
292C2×#217C2311yescharacteristic
293C2×#217C2311yescharacteristic
294C2×#217C2311yescharacteristic
295C2×#217C2311yescharacteristic
296C2×#217C2311yescharacteristic
297C2×#217C2311yescharacteristic
298C2×#217C2311yescharacteristic
299C2×#217C2311yescharacteristic
300C2×#217C2311yescharacteristic
301C2×#217C2311yescharacteristic
302C2×#217C2311yescharacteristic
303C2×#217C2311yescharacteristic
304#947—24no—
305#946—24no—
306#939—24no—
307#939—24no—
308#939—42no—
309#938—24no—
310#937—24no—
311#937—24no—
312#937—42no—
313#937D418yescomplemented
314D4×Dic3—24no—
315D4×Dic3—24no—
316D4×Dic3—24no—
317D4×Dic3—42no—
318#930—24no—
319#929—24no—
320#929—24no—
321C4×#67—24no—
322C2×(C2×D3)⋊C4—24no—
323C2×(C2×D3)⋊C4—24no—
324C2×(C2×D3)⋊C4—42no—
325C2×(C2×D3)⋊C4C2311yescharacteristic
326C2×(C2×D3)⋊C4C2311yescharacteristic
327C2×(C2×D3)⋊C4C2311yescharacteristic
328C2×(C2×D3)⋊C4C2311yescharacteristic
329C2×(C2×D3)⋊C4C2311yescharacteristic
330C2×(C2×D3)⋊C4C2311yescharacteristic
331C2×(C2×D3)⋊C4C2311yescharacteristic
332C2×(C2×D3)⋊C4C2311yescharacteristic
333C2×(C2×D3)⋊C4C2311yescharacteristic
334C2×(C2×D3)⋊C4C2311yescharacteristic
335C2×(C2×D3)⋊C4C2311yescharacteristic
336C2×(C2×D3)⋊C4C2311yescharacteristic
337C2×(C2×D3)⋊C4C2311yescharacteristic
338C2×(C2×D3)⋊C4C2311yescharacteristic
339C2×(C2×D3)⋊C4C2311yescharacteristic
340C2×(C2×D3)⋊C4C2311yescharacteristic
341C2×(C2×D3)⋊C4C2311yescharacteristic
342C2×(C2×D3)⋊C4C2311yescharacteristic
343C2×(C2×D3)⋊C4C2311yescharacteristic
344C2×(C2×D3)⋊C4C2311yescharacteristic
345C2×(C2×D3)⋊C4C2311yescharacteristic
346C2×(C2×D3)⋊C4C2311yescharacteristic
347C2×(C2×D3)⋊C4C2311yescharacteristic
348C2×(C2×D3)⋊C4C2311yescharacteristic
349C2×C4⋊Dic3C2311yescharacteristic
350C2×C4⋊Dic3C2311yescharacteristic
351C2×C4⋊Dic3C2311yescharacteristic
352C2×C4⋊Dic3C2311yescharacteristic
353C2×C4⋊Dic3C2311yescharacteristic
354C2×C4⋊Dic3C2311yescharacteristic
355C2×C4⋊Dic3C2311yescharacteristic
356#924—24no—
357C2×Dic3⋊C4C2311yescharacteristic
358C2×Dic3⋊C4C2311yescharacteristic
359C2×Dic3⋊C4C2311yescharacteristic
360C2×Dic3⋊C4C2311yescharacteristic
361C2×Dic3⋊C4C2311yescharacteristic
362C2×Dic3⋊C4C2311yescharacteristic
363C2×Dic3⋊C4C2311yescharacteristic
364C2×Dic3⋊C4C2311yescharacteristic
365C2×C4×Dic3C2311yescharacteristic
366C2×C4×Dic3C2311yescharacteristic
367C2×C4×Dic3C2311yescharacteristic
368C2×C4×Dic3C2311yescharacteristic
369C2×C4×Dic3C2311yescharacteristic
370C2×C4×Dic3C2311yescharacteristic
371#897—24no—
372#892—24no—
373#883—24no—
374#883—24no—
375#67⋊C4—24no—
376#67⋊C4—24no—
377#67⋊C4—42no—
378D3×C22⋊C4—24no—
379D3×C22⋊C4—42no—
380D3×C22⋊C4—42no—
381C3×#95C2311yescharacteristic
382C3×#95C2311yescharacteristic
383C3×#95C2311yescharacteristic
384C3×#95C2311yescharacteristic
385C3×#95C2311yescharacteristic
386C3×#95C2311yescharacteristic
387C3×#95C2311yescharacteristic
388C3×#95C2311yescharacteristic
389C3⋊#95C2311yescharacteristic
390C3⋊#95C2311yescharacteristic
391C3⋊#95C2311yescharacteristic
392C3⋊#95C2311yescharacteristic
393C3⋊#95C2311yescharacteristic
394C3⋊#95C2311yescharacteristic
395C3⋊#95C2311yescharacteristic
396C3⋊#95C2311yescharacteristic
397C3⋊#95C2311yescharacteristic
398C3⋊#95C2311yescharacteristic
399C3⋊#95C2311yescharacteristic
400C3⋊#95C2311yescharacteristic
401C3⋊#95C2311yescharacteristic
402C3⋊#95C2311yescharacteristic
403C3⋊#95C2311yescharacteristic
404C3⋊#95C2311yescharacteristic
405C3⋊#95C2311yescharacteristic
406C3⋊#95C2311yescharacteristic
407C3⋊#95C2311yescharacteristic
408C3⋊#95C2311yescharacteristic
409C3⋊#95C2311yescharacteristic
410C3⋊#95C2311yescharacteristic
411C3⋊#95C2311yescharacteristic
412C3⋊#95C2311yescharacteristic
413C3⋊#95C2311yescharacteristic
414C3⋊#95C2311yescharacteristic
415C3⋊#95C2311yescharacteristic
416C3⋊#95C2311yescharacteristic
417C3⋊#95C2311yescharacteristic
418C3⋊#95C2311yescharacteristic
419C3⋊#95C2311yescharacteristic
420C3⋊#95C2311yescharacteristic
421C3⋊#95C2311yescharacteristic
422C3⋊#95C2311yescharacteristic
423C22×#41—31no—
424C22×#41C2×D311yescharacteristic
425C23×D4—31no—
426C24×C4—31no—
427#546—68no—
428C2×#124—31no—
429#525—68no—
430C2×#123—31no—
431C2×#123—31no—
432C2×#123—31no—
433C2×#123—31no—
434C2×#123C2×D311yescharacteristic, complemented
435C2×C22⋊Q8—31no—
436C2×C22⋊Q8—31no—
437C2×C22⋊Q8—31no—
438C2×#121—31no—
439C2×#121—31no—
440C2×#121—31no—
441C2×#121—31no—
442C2×#121—31no—
443C2×#121C2×D311yescharacteristic
444C2×#121C2×D311yescharacteristic, complemented
445C2×#120—31no—
446C2×#120—31no—
447C2×#120—31no—
448C2×#120—31no—
449C2×C4×D4—31no—
450C2×C4×D4—31no—
451C2×C4×D4—31no—
452C2×C4×D4—31no—
453C2×C4×D4—31no—
454C2×C4×D4—31no—
455C2×C4×D4—31no—
456C2×C4×D4—31no—
457C2×#117—31no—
458C22×C22⋊C4—31no—
459C22×C22⋊C4—31no—
460C22×C22⋊C4—31no—
461C22×C22⋊C4—31no—
462C22×C22⋊C4—31no—
463C22×C22⋊C4—31no—
464#400—31no—
465#400—31no—
466#400—31no—
467#400—31no—
468#398—31no—
469#398—31no—
470#398—31no—
471#397—31no—
472#397—31no—
473#397—31no—
474#397—31no—
475#397—31no—
476#397—31no—
477#397—31no—
478#396—31no—
479#396—31no—
480#395C2×D311yescharacteristic, complemented
481#394—31no—
482#394—31no—
483#394—31no—
484#394—31no—
485#394—31no—
486#394—31no—
487#394—31no—
488#394C2×D311yescharacteristic, complemented
489#393—31no—
490#393—31no—
491#393C2×D311yescharacteristic, complemented
492#392—31no—
493#392—31no—
494#392—31no—
495#392C2×D311yescharacteristic, complemented
496#391—31no—
497#391—31no—
498#391—31no—
499#391—31no—
500#390—31no—
501#389—31no—
502#388—31no—
503#388—31no—
504#388—31no—
505#388—31no—
506#388—31no—
507#388—31no—
508#388—31no—
509#388—31no—
510#388—31no—
511#388—31no—
512#387—31no—
513#387—31no—
514#387—31no—
515#387—31no—
516#386—31no—
517#386—31no—
518#386—31no—
519#386—31no—
520#386—31no—
521#386—31no—
522#386—31no—
523#386—31no—
524#386—31no—
525#386—31no—
526#386—31no—
527#386—31no—
528#386—31no—
529#386—31no—
530#386—31no—
531#386—31no—
532#386—31no—
533#386—31no—
534#386—31no—
535#386—31no—
536#386—31no—
537#386—31no—
538#386—31no—
539#386C2×D311yescharacteristic
540#386C2×D311yescharacteristic, complemented
541#386C2×D311yescharacteristic, complemented
542#386C2×D311yescharacteristic, complemented
543#385—31no—
544#385—31no—
545#385—31no—
546#385—31no—
547#385—31no—
548#385C2×D311yescharacteristic, complemented
549#385C2×D311yescharacteristic, complemented
550#382—31no—
551#381—31no—
552#381—31no—
553#381—31no—
554#381—31no—
555#381—31no—
556#381—31no—
557#381—31no—
558#381—31no—
559#381—31no—
560#381—31no—
561#381—31no—
562#380—31no—
563#380—31no—
564#380—31no—
565#380—31no—
566#380—31no—
567#379—31no—
568C4×C22⋊C4—31no—
569C4×C22⋊C4—31no—
570C4×C22⋊C4—31no—
571C4×C22⋊C4—31no—
572C4×C22⋊C4—31no—
573C2×#95—31no—
574C2×#95—31no—
575C2×#95—31no—
576C2×#95—31no—
577C2×#95—31no—
578C2×#95—31no—
579C2×#95C2×D311yescharacteristic, complemented
580C24×C3C2411yescharacteristic
581C24×C3C2411yescharacteristic
582C24×C3C2411yescharacteristic
583C24×C3C2411yescharacteristic
584C23×D3—22no—
585C23×D3—22no—
586C23×D3—22no—
587C23×D3—22no—
588C23×D3—22no—
589C23×D3—22no—
590C23×D3—22no—
591C23×D3—22no—
592C23×D3—41no—
593C23×D3—41no—
594C23×D3—41no—
595C23×D3—41no—
596C23×D3—41no—
597C23×D3C2×D414yes—
598C23×D3C2411yescharacteristic
599C23×D3C2411yescharacteristic
600C23×D3C2411yescharacteristic
601C3×#41—416no—
602C2×C3×Q8—22no—
603C2×C3×Q8—22no—
604C2×C3×Q8—41no—
605C2×C3×D4—22no—
606C2×C3×D4—22no—
607C2×C3×D4—22no—
608C2×C3×D4—22no—
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—41no—
618C2×C3×D4—41no—
619C2×C3×D4—41no—
620C2×C3×D4—41no—
621C2×C3×D4C2×D414yes—
622C2×C3×D4#4114yescomplemented
623C22×C3×C4—22no—
624C22×C3×C4—22no—
625C22×C3×C4—22no—
626C22×C3×C4—22no—
627C22×C3×C4—22no—
628C22×C3×C4—22no—
629C22×C3×C4—22no—
630C22×C3×C4—22no—
631C22×C3×C4—22no—
632C22×C3×C4—22no—
633C22×C3×C4—41no—
634C22×C3×C4—41no—
635C22×C3×C4—41no—
636C22×C3×C4—41no—
637C22×C3×C4—41no—
638C22×C3×C4C2411yescharacteristic
639C22×C3×C4C2411yescharacteristic
640C22×C3×C4C2411yescharacteristic
641C22×C3×C4C2411yescharacteristic
642C22×C3×C4C2411yescharacteristic
643C22×C3×C4C2411yescharacteristic
644C22×C3×C4C2411yescharacteristic
645C22×C3×C4C2411yescharacteristic
646C22×C3×C4C2411yescharacteristic
647C22×C3×C4C2411yescharacteristic
648C22×C3×C4C2411yescharacteristic
649C2×#67—22no—
650C2×#67—22no—
651C2×#67—22no—
652C2×#67—22no—
653C2×#67—22no—
654C2×#67—22no—
655C2×#67—22no—
656C2×#67—22no—
657C2×#67—22no—
658C2×#67—22no—
659C2×#67—22no—
660C2×#67—22no—
661C2×#67—41no—
662C2×#67—41no—
663C2×#67—41no—
664C2×#67—41no—
665C2×#67—41no—
666C2×#67—41no—
667C2×#67—41no—
668C2×#67—41no—
669C2×#67—41no—
670C2×#67—41no—
671C2×#67C2×D414yes—
672C2×#67C2×D414yes—
673C22×Dic3—22no—
674C22×Dic3—22no—
675C22×Dic3—22no—
676C22×Dic3—22no—
677C22×Dic3—22no—
678C22×Dic3—22no—
679C22×Dic3—22no—
680C22×Dic3—22no—
681C22×Dic3—22no—
682C22×Dic3—41no—
683C22×Dic3—41no—
684C22×Dic3—41no—
685C22×Dic3—41no—
686C22×Dic3—41no—
687C22×Dic3—41no—
688C22×Dic3—41no—
689C22×Dic3—41no—
690C22×Dic3—41no—
691C22×Dic3—41no—
692C22×Dic3—41no—
693C22×Dic3—41no—
694C22×Dic3C2411yescharacteristic
695C22×Dic3C2411yescharacteristic
696C22×Dic3C2411yescharacteristic
697C22×Dic3C2411yescharacteristic
698C22×Dic3C2411yescharacteristic
699C22×Dic3C2411yescharacteristic
700C22×Dic3C2411yescharacteristic
701C22×Dic3C2411yescharacteristic
702C22×Dic3C2411yescharacteristic
703C22×Dic3C2411yescharacteristic
704C22×Dic3C2411yescharacteristic
705C22×Dic3C2411yescharacteristic
706C22×Dic3C2411yescharacteristic
707#237—416no—
708D3×D4—416no—
709C2×D12—22no—
710C2×D12—22no—
711C2×D12—41no—
712C2×C4×D3—22no—
713C2×C4×D3—22no—
714C2×C4×D3—22no—
715C2×C4×D3—22no—
716C2×C4×D3—22no—
717C2×C4×D3—22no—
718C2×C4×D3—22no—
719C2×C4×D3—22no—
720C2×C4×D3—22no—
721C2×C4×D3—22no—
722C2×C4×D3—22no—
723C2×C4×D3—22no—
724C2×C4×D3—22no—
725C2×C4×D3—416no—
726C2×C4×D3—41no—
727C2×C4×D3—41no—
728C2×C4×D3—41no—
729C2×C4×D3—41no—
730C2×C4×D3—41no—
731C2×C4×D3—41no—
732C2×C4×D3—41no—
733C2×C4×D3#4114yescomplemented
734C2×Dic6—22no—
735C2×Dic6—22no—
736C2×Dic6—41no—
737C3×C4⋊C4—22no—
738C3×C4⋊C4—22no—
739C3×C4⋊C4—41no—
740C3×C4⋊C4—41no—
741C3×C22⋊C4—22no—
742C3×C22⋊C4—22no—
743C3×C22⋊C4—22no—
744C3×C22⋊C4—22no—
745C3×C22⋊C4—22no—
746C3×C22⋊C4—22no—
747C3×C22⋊C4—41no—
748C3×C22⋊C4—41no—
749C3×C22⋊C4—41no—
750C3×C22⋊C4—41no—
751C3×C22⋊C4—41no—
752#217—22no—
753#217—22no—
754#217—22no—
755#217—22no—
756#217—22no—
757#217—22no—
758#217—22no—
759#217—41no—
760#217—41no—
761#217—41no—
762#217—41no—
763#217—41no—
764#217—41no—
765#217—41no—
766#217C2×D414yes—
767(C2×D3)⋊C4—22no—
768(C2×D3)⋊C4—22no—
769(C2×D3)⋊C4—22no—
770(C2×D3)⋊C4—22no—
771(C2×D3)⋊C4—22no—
772(C2×D3)⋊C4—22no—
773(C2×D3)⋊C4—22no—
774(C2×D3)⋊C4—22no—
775(C2×D3)⋊C4—22no—
776(C2×D3)⋊C4—22no—
777(C2×D3)⋊C4—22no—
778(C2×D3)⋊C4—22no—
779(C2×D3)⋊C4—22no—
780(C2×D3)⋊C4—41no—
781(C2×D3)⋊C4—41no—
782(C2×D3)⋊C4—41no—
783(C2×D3)⋊C4—41no—
784(C2×D3)⋊C4—41no—
785(C2×D3)⋊C4—41no—
786(C2×D3)⋊C4—41no—
787(C2×D3)⋊C4—41no—
788(C2×D3)⋊C4—41no—
789(C2×D3)⋊C4C2×D414yes—
790(C2×D3)⋊C4C2×D414yes—
791C4⋊Dic3—22no—
792C4⋊Dic3—22no—
793C4⋊Dic3—22no—
794C4⋊Dic3—22no—
795C4⋊Dic3—41no—
796C4⋊Dic3—41no—
797C4⋊Dic3—41no—
798Dic3⋊C4—22no—
799Dic3⋊C4—22no—
800Dic3⋊C4—22no—
801Dic3⋊C4—22no—
802Dic3⋊C4—22no—
803Dic3⋊C4—41no—
804Dic3⋊C4—41no—
805Dic3⋊C4—41no—
806C4×Dic3—22no—
807C4×Dic3—22no—
808C4×Dic3—22no—
809C4×Dic3—41no—
810C4×Dic3—41no—
811C4×Dic3—41no—
812C25—31no—
813C25—31no—
814C2×#41—24no—
815C2×#41—24no—
816C2×#41—42no—
817C2×#41—64no—
818C2×#41—64no—
819C2×#41—122no—
820C22×Q8—31no—
821C22×Q8C22×D311yescharacteristic
822C22×D4—31no—
823C22×D4—31no—
824C22×D4—31no—
825C22×D4—31no—
826C22×D4—31no—
827C22×D4—31no—
828C22×D4—31no—
829C22×D4—31no—
830C22×D4—31no—
831C22×D4—64no—
832C22×D4—64no—
833C22×D4—122no—
834C22×D4C22×D311yescharacteristic
835C22×D4C22×D311yescharacteristic
836C22×D4C22×D311yescharacteristic
837C22×D4C22×D311yescharacteristic
838C22×D4C22×D311yescharacteristic
839C22×D4C22×D311yescharacteristic
840C23×C4—31no—
841C23×C4—31no—
842C23×C4—31no—
843C23×C4—31no—
844C23×C4—31no—
845C23×C4—31no—
846C23×C4—31no—
847C23×C4—31no—
848C23×C4—31no—
849C23×C4—31no—
850C23×C4—31no—
851C23×C4—31no—
852C23×C4—31no—
853C23×C4—31no—
854C23×C4—64no—
855C23×C4—64no—
856C23×C4—122no—
857C23×C4C22×D311yescharacteristic
858C23×C4C22×D311yescharacteristic
859C23×C4C22×D311yescharacteristic
860C23×C4C22×D311yescharacteristic
861C23×C4C22×D311yescharacteristic
862#124—64no—
863#123—42no—
864#123—64no—
865#123—64no—
866#123—64no—
867#123—64no—
868C22⋊Q8—64no—
869C22⋊Q8—64no—
870C22⋊Q8—64no—
871#121—24no—
872#121—24no—
873#121—64no—
874#121—64no—
875#121—64no—
876#121—64no—
877#121—122no—
878#120—38no—
879#120—64no—
880#120—64no—
881#120—122no—
882C4×D4—64no—
883C4×D4—64no—
884C4×D4—64no—
885C4×D4—64no—
886C4×D4—64no—
887C4×D4—64no—
888C4×D4—122no—
889C4×D4—122no—
890#117—64no—
891C2×C4⋊C4—31no—
892C2×C4⋊C4—31no—
893C2×C4⋊C4—31no—
894C2×C4⋊C4—31no—
895C2×C4⋊C4—31no—
896C2×C4⋊C4—31no—
897C2×C4⋊C4—31no—
898C2×C4⋊C4—31no—
899C2×C4⋊C4—31no—
900C2×C4⋊C4—31no—
901C2×C4⋊C4—31no—
902C2×C4⋊C4—31no—
903C2×C4⋊C4—31no—
904C2×C4⋊C4—31no—
905C2×C4⋊C4—31no—
906C2×C4⋊C4C22×D311yescharacteristic
907C2×C4⋊C4C22×D311yescharacteristic
908C2×C4⋊C4C22×D311yescharacteristic
909C2×C4⋊C4C22×D311yescharacteristic
910C2×C22⋊C4—31no—
911C2×C22⋊C4—31no—
912C2×C22⋊C4—31no—
913C2×C22⋊C4—31no—
914C2×C22⋊C4—31no—
915C2×C22⋊C4—31no—
916C2×C22⋊C4—31no—
917C2×C22⋊C4—31no—
918C2×C22⋊C4—31no—
919C2×C22⋊C4—31no—
920C2×C22⋊C4—31no—
921C2×C22⋊C4—31no—
922C2×C22⋊C4—31no—
923C2×C22⋊C4—31no—
924C2×C22⋊C4—31no—
925C2×C22⋊C4—31no—
926C2×C22⋊C4—31no—
927C2×C22⋊C4—31no—
928C2×C22⋊C4—31no—
929C2×C22⋊C4—31no—
930C2×C22⋊C4—31no—
931C2×C22⋊C4—31no—
932C2×C22⋊C4—31no—
933C2×C22⋊C4—31no—
934C2×C22⋊C4—31no—
935C2×C22⋊C4—31no—
936C2×C22⋊C4—31no—
937C2×C22⋊C4—31no—
938C2×C22⋊C4—31no—
939C2×C22⋊C4—31no—
940C2×C22⋊C4—31no—
941C2×C22⋊C4—31no—
942C2×C22⋊C4—31no—
943C2×C22⋊C4—31no—
944C2×C22⋊C4—31no—
945C2×C22⋊C4—31no—
946C2×C22⋊C4—31no—
947C2×C22⋊C4—31no—
948C2×C22⋊C4—31no—
949C2×C22⋊C4—64no—
950C2×C22⋊C4—64no—
951C2×C22⋊C4—64no—
952C2×C22⋊C4—122no—
953C2×C22⋊C4—122no—
954C2×C22⋊C4—122no—
955C2×C22⋊C4C22×D311yescharacteristic
956C2×C22⋊C4C22×D311yescharacteristic
957C2×C22⋊C4C22×D311yescharacteristic
958C2×C22⋊C4C22×D311yescharacteristic
959C2×C22⋊C4C22×D311yescharacteristic
960C2×C22⋊C4C22×D311yescharacteristic
961C2×C22⋊C4C22×D311yescharacteristic
962C2×C22⋊C4C22×D311yescharacteristic
963C2×C22⋊C4C22×D311yescharacteristic
964C2×C22⋊C4C22×D311yescharacteristic
965C2×C22⋊C4C22×D311yescharacteristic
966C2×C42—31no—
967C2×C42—31no—
968C2×C42—31no—
969C2×C42—31no—
970C2×C42—31no—
971C2×C42—31no—
972#95—31no—
973#95—31no—
974#95—31no—
975#95—31no—
976#95—31no—
977#95—31no—
978#95—31no—
979#95—31no—
980#95—31no—
981#95—31no—
982#95—31no—
983#95—31no—
984#95—31no—
985#95—31no—
986#95—31no—
987#95—31no—
988#95—31no—
989#95—31no—
990#95—31no—
991#95—31no—
992#95—31no—
993#95—31no—
994#95—31no—
995#95—31no—
996#95—31no—
997#95—31no—
998#95—31no—
999#95—31no—
1000#95—31no—
1001#95—31no—
1002#95—31no—
1003#95—31no—
1004#95—31no—
1005#95—31no—
1006#95C22×D311yescharacteristic
1007#95C22×D311yescharacteristic
1008#95C22×D311yescharacteristic
1009#95C22×D311yescharacteristic
1010#95C22×D311yescharacteristic
1011#95C22×D311yescharacteristic
1012#95C22×D311yescharacteristic
1013#95C22×D311yescharacteristic
1014C23×C3—21no—
1015C23×C3—21no—
1016C23×C3—21no—
1017C23×C3—21no—
1018C23×C3—21no—
1019C23×C3—21no—
1020C23×C3—21no—
1021C23×C3—21no—
1022C23×C3—21no—
1023C23×C3—21no—
1024C23×C3—21no—
1025C23×C3—21no—
1026C23×C3—21no—
1027C23×C3—21no—
1028C23×C3—21no—
1029C23×C3—21no—
1030C23×C3—21no—
1031C23×C3—21no—
1032C23×C3—21no—
1033C23×C3—21no—
1034C23×C3—21no—
1035C23×C3—21no—
1036C23×C3—21no—
1037C23×C3C22×D412yes—
1038C23×C3C22×D412yes—
1039C23×C3C2×#4112yes—
1040C23×C3C2×#4112yes—
1041C23×C3H(5,𝔽2)12yes—
1042C23×C3C2511yescharacteristic
1043C22×D3—21no—
1044C22×D3—21no—
1045C22×D3—21no—
1046C22×D3—21no—
1047C22×D3—28no—
1048C22×D3—21no—
1049C22×D3—21no—
1050C22×D3—21no—
1051C22×D3—21no—
1052C22×D3—21no—
1053C22×D3—21no—
1054C22×D3—28no—
1055C22×D3—21no—
1056C22×D3—21no—
1057C22×D3—21no—
1058C22×D3—21no—
1059C22×D3—21no—
1060C22×D3—21no—
1061C22×D3—21no—
1062C22×D3—44no—
1063C22×D3—44no—
1064C22×D3—44no—
1065C22×D3—44no—
1066C22×D3—44no—
1067C22×D3—44no—
1068C22×D3—44no—
1069C22×D3—44no—
1070C22×D3—44no—
1071C22×D3—82no—
1072C22×D3—82no—
1073C22×D3—82no—
1074C22×D3C22×D412yes—
1075C22×D3C22×D412yes—
1076C22×D3C2×#4112yes—
1077C22×D3H(5,𝔽2)12yes—
1078C3×Q8—44no—
1079C3×D4—28no—
1080C3×D4—28no—
1081C3×D4—44no—
1082C3×D4—44no—
1083C3×D4—44no—
1084C3×D4—82no—
1085C2×C3×C4—21no—
1086C2×C3×C4—21no—
1087C2×C3×C4—21no—
1088C2×C3×C4—21no—
1089C2×C3×C4—21no—
1090C2×C3×C4—21no—
1091C2×C3×C4—21no—
1092C2×C3×C4—21no—
1093C2×C3×C4—21no—
1094C2×C3×C4—21no—
1095C2×C3×C4—21no—
1096C2×C3×C4—21no—
1097C2×C3×C4—21no—
1098C2×C3×C4—21no—
1099C2×C3×C4—21no—
1100C2×C3×C4—21no—
1101C2×C3×C4—21no—
1102C2×C3×C4—21no—
1103C2×C3×C4—21no—
1104C2×C3×C4—21no—
1105C2×C3×C4—21no—
1106C2×C3×C4—21no—
1107C2×C3×C4—21no—
1108C2×C3×C4—21no—
1109C2×C3×C4—21no—
1110C2×C3×C4—21no—
1111C2×C3×C4—21no—
1112C2×C3×C4—21no—
1113C2×C3×C4—21no—
1114C2×C3×C4—21no—
1115C2×C3×C4—44no—
1116C2×C3×C4—44no—
1117C2×C3×C4—44no—
1118C2×C3×C4—44no—
1119C2×C3×C4—82no—
1120C2×C3×C4C22×D412yes—
1121C2×C3×C4C2×#4112yes—
1122C2×C3×C4C2×#4112yes—
1123#67—28no—
1124#67—44no—
1125#67—44no—
1126#67—44no—
1127#67—44no—
1128#67—44no—
1129#67—82no—
1130#67—82no—
1131C2×Dic3—21no—
1132C2×Dic3—21no—
1133C2×Dic3—21no—
1134C2×Dic3—21no—
1135C2×Dic3—21no—
1136C2×Dic3—21no—
1137C2×Dic3—21no—
1138C2×Dic3—21no—
1139C2×Dic3—21no—
1140C2×Dic3—21no—
1141C2×Dic3—21no—
1142C2×Dic3—21no—
1143C2×Dic3—21no—
1144C2×Dic3—21no—
1145C2×Dic3—21no—
1146C2×Dic3—21no—
1147C2×Dic3—21no—
1148C2×Dic3—21no—
1149C2×Dic3—21no—
1150C2×Dic3—21no—
1151C2×Dic3—21no—
1152C2×Dic3—21no—
1153C2×Dic3—21no—
1154C2×Dic3—21no—
1155C2×Dic3—21no—
1156C2×Dic3—21no—
1157C2×Dic3—21no—
1158C2×Dic3—21no—
1159C2×Dic3—21no—
1160C2×Dic3—21no—
1161C2×Dic3—21no—
1162C2×Dic3—21no—
1163C2×Dic3—21no—
1164C2×Dic3—21no—
1165C2×Dic3—21no—
1166C2×Dic3—21no—
1167C2×Dic3—44no—
1168C2×Dic3—44no—
1169C2×Dic3—44no—
1170C2×Dic3—82no—
1171C2×Dic3—82no—
1172C2×Dic3—82no—
1173C2×Dic3—82no—
1174C2×Dic3C22×D412yes—
1175C2×Dic3C22×D412yes—
1176C2×Dic3C2×#4112yes—
1177D12—44no—
1178C4×D3—28no—
1179C4×D3—44no—
1180C4×D3—44no—
1181C4×D3—44no—
1182C4×D3—44no—
1183C4×D3—82no—
1184C4×D3—82no—
1185Dic6—44no—
1186C24—31no—
1187C24—31no—
1188C24—34no—
1189C24—31no—
1190C24—62no—
1191C24—62no—
1192C24—62no—
1193C24—62no—
1194C24—62no—
1195C24—62no—
1196C24—62no—
1197C24—62no—
1198C24—121no—
1199C24—121no—
1200C24—121no—
1201C24—121no—
1202C24—121no—
1203C24C23×D311yescharacteristic
1204C24C23×D311yescharacteristic
1205C24C23×D311yescharacteristic
1206C24C23×D311yescharacteristic
1207#41—416no—
1208#41—1216no—
1209C2×Q8—22no—
1210C2×Q8—22no—
1211C2×Q8—41no—
1212C2×Q8—62no—
1213C2×Q8—62no—
1214C2×Q8—121no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—22no—
1218C2×D4—22no—
1219C2×D4—22no—
1220C2×D4—22no—
1221C2×D4—22no—
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—22no—
1227C2×D4—34no—
1228C2×D4—34no—
1229C2×D4—41no—
1230C2×D4—41no—
1231C2×D4—41no—
1232C2×D4—41no—
1233C2×D4—62no—
1234C2×D4—62no—
1235C2×D4—62no—
1236C2×D4—62no—
1237C2×D4—62no—
1238C2×D4—62no—
1239C2×D4—62no—
1240C2×D4—62no—
1241C2×D4—62no—
1242C2×D4—62no—
1243C2×D4—62no—
1244C2×D4—62no—
1245C2×D4—62no—
1246C2×D4—62no—
1247C2×D4—121no—
1248C2×D4—121no—
1249C2×D4—121no—
1250C2×D4—121no—
1251C2×D4—121no—
1252C2×D4—121no—
1253C2×D4—121no—
1254C2×D4—121no—
1255C2×D4—121no—
1256C2×D4—121no—
1257C2×D4—121no—
1258C2×D4—1216no—
1259C2×D4D3×D414yes—
1260C2×D4#23714yescomplemented
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—22no—
1267C22×C4—22no—
1268C22×C4—22no—
1269C22×C4—22no—
1270C22×C4—22no—
1271C22×C4—31no—
1272C22×C4—31no—
1273C22×C4—31no—
1274C22×C4—34no—
1275C22×C4—31no—
1276C22×C4—31no—
1277C22×C4—31no—
1278C22×C4—31no—
1279C22×C4—31no—
1280C22×C4—31no—
1281C22×C4—31no—
1282C22×C4—31no—
1283C22×C4—31no—
1284C22×C4—31no—
1285C22×C4—41no—
1286C22×C4—41no—
1287C22×C4—41no—
1288C22×C4—41no—
1289C22×C4—41no—
1290C22×C4—62no—
1291C22×C4—62no—
1292C22×C4—62no—
1293C22×C4—62no—
1294C22×C4—62no—
1295C22×C4—62no—
1296C22×C4—62no—
1297C22×C4—62no—
1298C22×C4—62no—
1299C22×C4—62no—
1300C22×C4—62no—
1301C22×C4—62no—
1302C22×C4—62no—
1303C22×C4—62no—
1304C22×C4—62no—
1305C22×C4—62no—
1306C22×C4—62no—
1307C22×C4—62no—
1308C22×C4—62no—
1309C22×C4—62no—
1310C22×C4—62no—
1311C22×C4—62no—
1312C22×C4—121no—
1313C22×C4—121no—
1314C22×C4—121no—
1315C22×C4—121no—
1316C22×C4—121no—
1317C22×C4—121no—
1318C22×C4—121no—
1319C22×C4—1216no—
1320C22×C4—121no—
1321C22×C4—121no—
1322C22×C4—121no—
1323C22×C4—121no—
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×C4C23×D311yescharacteristic
1333C22×C4C23×D311yescharacteristic
1334C22×C4C23×D311yescharacteristic
1335C22×C4C23×D311yescharacteristic
1336C22×C4C23×D311yescharacteristic
1337C22×C4C23×D311yescharacteristic
1338C22×C4C23×D311yescharacteristic
1339C22×C4C23×D311yescharacteristic
1340C22×C4C23×D311yescharacteristic
1341C22×C4C23×D311yescharacteristic
1342C22×C4C23×D311yescharacteristic
1343C4⋊C4—22no—
1344C4⋊C4—22no—
1345C4⋊C4—41no—
1346C4⋊C4—41no—
1347C4⋊C4—62no—
1348C4⋊C4—62no—
1349C4⋊C4—62no—
1350C4⋊C4—62no—
1351C4⋊C4—62no—
1352C4⋊C4—62no—
1353C4⋊C4—62no—
1354C4⋊C4—62no—
1355C4⋊C4—62no—
1356C4⋊C4—121no—
1357C4⋊C4—121no—
1358C4⋊C4—121no—
1359C4⋊C4—121no—
1360C4⋊C4—121no—
1361C4⋊C4—121no—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—22no—
1365C22⋊C4—22no—
1366C22⋊C4—22no—
1367C22⋊C4—22no—
1368C22⋊C4—34no—
1369C22⋊C4—34no—
1370C22⋊C4—34no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—41no—
1374C22⋊C4—41no—
1375C22⋊C4—41no—
1376C22⋊C4—62no—
1377C22⋊C4—62no—
1378C22⋊C4—62no—
1379C22⋊C4—62no—
1380C22⋊C4—62no—
1381C22⋊C4—62no—
1382C22⋊C4—62no—
1383C22⋊C4—62no—
1384C22⋊C4—62no—
1385C22⋊C4—62no—
1386C22⋊C4—62no—
1387C22⋊C4—62no—
1388C22⋊C4—62no—
1389C22⋊C4—62no—
1390C22⋊C4—62no—
1391C22⋊C4—62no—
1392C22⋊C4—62no—
1393C22⋊C4—62no—
1394C22⋊C4—62no—
1395C22⋊C4—62no—
1396C22⋊C4—121no—
1397C22⋊C4—121no—
1398C22⋊C4—121no—
1399C22⋊C4—121no—
1400C22⋊C4—121no—
1401C22⋊C4—121no—
1402C22⋊C4—121no—
1403C22⋊C4—121no—
1404C22⋊C4—121no—
1405C22⋊C4—121no—
1406C22⋊C4—121no—
1407C22⋊C4—121no—
1408C22⋊C4—121no—
1409C22⋊C4—121no—
1410C22⋊C4—121no—
1411C22⋊C4—121no—
1412C42—62no—
1413C42—62no—
1414C42—62no—
1415C42—121no—
1416C42—121no—
1417C42—121no—
1418C22×C3—22no—
1419C22×C3—22no—
1420C22×C3—22no—
1421C22×C3—22no—
1422C22×C3—22no—
1423C22×C3—22no—
1424C22×C3—22no—
1425C22×C3—22no—
1426C22×C3—22no—
1427C22×C3—22no—
1428C22×C3—22no—
1429C22×C3—22no—
1430C22×C3—41no—
1431C22×C3—41no—
1432C22×C3—41no—
1433C22×C3—41no—
1434C22×C3—41no—
1435C22×C3—41no—
1436C22×C3—41no—
1437C22×C3—41no—
1438C22×C3—41no—
1439C22×C3—41no—
1440C22×C3—41no—
1441C22×C3—41no—
1442C22×C3—41no—
1443C22×C3—41no—
1444C22×C3—41no—
1445C22×C3#54614yes—
1446C22×C3C23×D411yescharacteristic
1447C22×C3C22×#4111yescharacteristic
1448C22×C3C22×#4111yescharacteristic
1449C22×C3C2×H(5,𝔽2)11yescharacteristic
1450C22×C3C2×H(5,𝔽2)11yescharacteristic
1451C22×C3#58511yescharacteristic
1452C22×C3#58511yescharacteristic
1453C2×D3—22no—
1454C2×D3—22no—
1455C2×D3—22no—
1456C2×D3—22no—
1457C2×D3—22no—
1458C2×D3—22no—
1459C2×D3—22no—
1460C2×D3—22no—
1461C2×D3—22no—
1462C2×D3—416no—
1463C2×D3—41no—
1464C2×D3—41no—
1465C2×D3—41no—
1466C2×D3—41no—
1467C2×D3—41no—
1468C2×D3—41no—
1469C2×D3—41no—
1470C2×D3—41no—
1471C2×D3—41no—
1472C2×D3—41no—
1473C2×D3—41no—
1474C2×D3—88no—
1475C2×D3#54614yes—
1476C3×C4—22no—
1477C3×C4—22no—
1478C3×C4—22no—
1479C3×C4—41no—
1480C3×C4—41no—
1481C3×C4—41no—
1482C3×C4—41no—
1483C3×C4—41no—
1484C3×C4—41no—
1485C3×C4—41no—
1486C3×C4—41no—
1487Dic3—22no—
1488Dic3—22no—
1489Dic3—22no—
1490Dic3—41no—
1491Dic3—41no—
1492Dic3—41no—
1493Dic3—41no—
1494Dic3—41no—
1495Dic3—41no—
1496Dic3—41no—
1497Dic3—41no—
1498Dic3—41no—
1499Dic3—41no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—32no—
1524C23—32no—
1525C23—32no—
1526C23—32no—
1527C23—68no—
1528C23—61no—
1529C23—61no—
1530C23—61no—
1531C23—61no—
1532C23—61no—
1533C23—61no—
1534C23—61no—
1535C23—61no—
1536C23—61no—
1537C23—61no—
1538C23—68no—
1539C23—61no—
1540C23—61no—
1541C23—61no—
1542C23—61no—
1543C23—61no—
1544C23—61no—
1545C23—61no—
1546C23—124no—
1547C23—124no—
1548C23—124no—
1549C23—124no—
1550C23—124no—
1551C23—124no—
1552C23—124no—
1553C23—124no—
1554C23—124no—
1555C23—242no—
1556C23—242no—
1557C23—242no—
1558C23C2×D3×D412yes—
1559C23C2×D3×D412yes—
1560C23C2×#23712yes—
1561C23C2×#23712yes—
1562C23#100412yes—
1563C23C24×D311yescharacteristic
1564Q8—44no—
1565Q8—124no—
1566D4—28no—
1567D4—28no—
1568D4—44no—
1569D4—44no—
1570D4—44no—
1571D4—68no—
1572D4—82no—
1573D4—124no—
1574D4—124no—
1575D4—124no—
1576D4—124no—
1577D4—124no—
1578D4—124no—
1579D4—242no—
1580D4—242no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—32no—
1612C2×C4—32no—
1613C2×C4—32no—
1614C2×C4—44no—
1615C2×C4—44no—
1616C2×C4—44no—
1617C2×C4—44no—
1618C2×C4—68no—
1619C2×C4—61no—
1620C2×C4—61no—
1621C2×C4—61no—
1622C2×C4—61no—
1623C2×C4—61no—
1624C2×C4—61no—
1625C2×C4—61no—
1626C2×C4—61no—
1627C2×C4—61no—
1628C2×C4—61no—
1629C2×C4—61no—
1630C2×C4—61no—
1631C2×C4—61no—
1632C2×C4—61no—
1633C2×C4—61no—
1634C2×C4—61no—
1635C2×C4—61no—
1636C2×C4—61no—
1637C2×C4—61no—
1638C2×C4—61no—
1639C2×C4—61no—
1640C2×C4—61no—
1641C2×C4—61no—
1642C2×C4—61no—
1643C2×C4—61no—
1644C2×C4—61no—
1645C2×C4—61no—
1646C2×C4—61no—
1647C2×C4—61no—
1648C2×C4—61no—
1649C2×C4—61no—
1650C2×C4—61no—
1651C2×C4—61no—
1652C2×C4—61no—
1653C2×C4—61no—
1654C2×C4—61no—
1655C2×C4—82no—
1656C2×C4—124no—
1657C2×C4—124no—
1658C2×C4—124no—
1659C2×C4—124no—
1660C2×C4—124no—
1661C2×C4—124no—
1662C2×C4—124no—
1663C2×C4—242no—
1664C2×C4—242no—
1665C2×C4—242no—
1666C2×C4—242no—
1667C2×C4—242no—
1668C2×C4—242no—
1669C2×C4C2×D3×D412yes—
1670C2×C4C2×#23712yes—
1671C2×C4D3×#4112yes—
1672C2×C3—24no—
1673C2×C3—42no—
1674C2×C3—42no—
1675C2×C3—81no—
1676C2×C3C2×#54611yescharacteristic
1677C2×C3C2×#54611yescharacteristic
1678C2×C3#347511yescharacteristic
1679C2×C3#348511yescharacteristic
1680C2×C3#349411yescharacteristic
1681C2×C3#351311yescharacteristic
1682C2×C3#353411yescharacteristic
1683D3—24no—
1684D3—42no—
1685D3—81no—
1686C22—22no—
1687C22—22no—
1688C22—22no—
1689C22—22no—
1690C22—22no—
1691C22—22no—
1692C22—22no—
1693C22—22no—
1694C22—22no—
1695C22—22no—
1696C22—22no—
1697C22—22no—
1698C22—34no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—62no—
1715C22—62no—
1716C22—62no—
1717C22—62no—
1718C22—62no—
1719C22—62no—
1720C22—62no—
1721C22—62no—
1722C22—62no—
1723C22—1216no—
1724C22—121no—
1725C22—121no—
1726C22—121no—
1727C22—121no—
1728C22—121no—
1729C22—121no—
1730C22—121no—
1731C22—121no—
1732C22—121no—
1733C22—121no—
1734C22—121no—
1735C22—248no—
1736C22#559114yes—
1737C22C22×D3×D411yescharacteristic
1738C22C22×#23711yescharacteristic
1739C22C2×#100411yescharacteristic
1740C22C2×D3×#4111yescharacteristic
1741C22#596411yescharacteristic
1742C22D3×H(5,𝔽2)11yescharacteristic
1743C22#596811yescharacteristic
1744C4—22no—
1745C4—22no—
1746C4—22no—
1747C4—41no—
1748C4—41no—
1749C4—41no—
1750C4—41no—
1751C4—41no—
1752C4—41no—
1753C4—41no—
1754C4—41no—
1755C4—62no—
1756C4—62no—
1757C4—62no—
1758C4—121no—
1759C4—121no—
1760C4—121no—
1761C4—121no—
1762C4—121no—
1763C4—121no—
1764C4—121no—
1765C4—121no—
1766C4—121no—
1767C4—121no—
1768C3#5900911yescharacteristic, complemented, Sylow
1769C2—24no—
1770C2—42no—
1771C2—42no—
1772C2—64no—
1773C2—81no—
1774C2—122no—
1775C2—241no—
1776C2C2×#559111yescharacteristic
1777C2#8624011yescharacteristic
1778C2#8638311yescharacteristic
1779C2#8663611yescharacteristic
1780C2D3×#54611yescharacteristic
1781C2#8667511yescharacteristic
1782C2#8670011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2430C2
hypercenter#2430D3
hypocenterC3#59009
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2430

Complements

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

NH ≅ G/Ntype
1. C2×#5829C2semidirect
2. C2×#5606C2semidirect
3. C3×#2430C2semidirect
4. #84088C2semidirect
5. #82895C2semidirect
6. #82847C2semidirect
7. #82702C2semidirect
8. #82670C2semidirect
9. #82638C2semidirect
10. #77267C2semidirect
11. #77251C2semidirect
12. #77119C2semidirect
13. #76899C2semidirect
14. #76867C2semidirect
15. #76786C2semidirect
16. #76773C2semidirect
17. #76754C2semidirect
18. #74890C2semidirect
19. #74879C2semidirect
20. D3×#386C2semidirect
21. #74810C2semidirect
22. #74713C2semidirect
23. #74711C2semidirect
24. #74706C2semidirect
25. #74672C2semidirect
26. #74633C2semidirect
27. #74604C2semidirect
28. #74595C2semidirect
29. #74419C2semidirect
30. C2×#4664C2semidirect
31. #73352C2semidirect
37. C2×C3×#123C22semidirect
39. C2×C3×#121C22semidirect
46. C2×#938C22semidirect
52. C2×D4×Dic3C22semidirect
53. C2×D4×Dic3C22semidirect
54. C2×D4×Dic3C22semidirect
62. C2×#924C22semidirect
64. C2×#897C22semidirect
69. C2×#67⋊C4C22semidirect
70. C2×#67⋊C4C22semidirect
74. C3×#395C22semidirect
75. C3×#394C22semidirect
76. C3×#393C22semidirect
77. C3×#392C22semidirect
79. C3×#386C22semidirect
80. C3×#386C22semidirect
81. C3×#386C22semidirect
82. C3×#385C22semidirect
83. C3×#385C22semidirect
84. C2×C3×#95C22semidirect
85. #5229C22semidirect
86. #5229C22semidirect
88. #5223C22semidirect
91. #5220C22semidirect
92. #5220C22semidirect
93. #5220C22semidirect
94. #5220C22semidirect
95. #5220C22semidirect
96. #5220C22semidirect
99. #5212C22semidirect
100. #5211C22semidirect
101. #5211C22semidirect
102. C4×#217C22semidirect
103. C4×#217C22semidirect
104. C2×C3⋊#95C22semidirect
105. C2×C3⋊#95C22semidirect
106. C2×C3⋊#95C22semidirect
107. C2×C3⋊#95C22semidirect
108. #4994C22semidirect
109. #4992C22semidirect
110. #4992C22semidirect
112. #4990C22semidirect
113. #4990C22semidirect
117. #4982C22semidirect
118. #4982C22semidirect
119. #4980C22semidirect
120. #4980C22semidirect
121. #4976C22semidirect
122. #4961C22semidirect
123. #4961C22semidirect
124. #4961C22semidirect
125. #4961C22semidirect
128. #4959C22semidirect
130. #4958C22semidirect
131. #4958C22semidirect
132. #4958C22semidirect
133. #4958C22semidirect
134. #4957C22semidirect
142. #4953C22semidirect
143. #4952C22semidirect
144. #4952C22semidirect
145. #4951C22semidirect
146. #4951C22semidirect
147. #4950C22semidirect
148. #4950C22semidirect
149. #4948C22semidirect
150. #4947C22semidirect
151. #4946C22semidirect
152. #4945C22semidirect
153. #4943C22semidirect
154. #4942C22semidirect
155. #4942C22semidirect
156. Dic3×C22⋊C4C22semidirect
157. Dic3×C22⋊C4C22semidirect
158. #4675C22semidirect
159. #4674C22semidirect
160. #4673C22semidirect
161. #4670C22semidirect
162. #4670C22semidirect
163. #4670C22semidirect
164. #4669C22semidirect
165. #4669C22semidirect
174. #4664C22semidirect
175. #4664C22semidirect
176. #4664C22semidirect
177. #4664C22semidirect
180. #4661C22semidirect
181. #4660C22semidirect
182. #4660C22semidirect
183. #4659C22semidirect
184. #4658C22semidirect
185. #4654C22semidirect
186. #4653C22semidirect
187. #4650C22semidirect
188. #4646C22semidirect
189. #4646C22semidirect
206. #2430D3semidirect
313. #937D4semidirect
434. C2×#123C2×D3semidirect
444. C2×#121C2×D3semidirect
480. #395C2×D3semidirect
488. #394C2×D3semidirect
491. #393C2×D3semidirect
495. #392C2×D3semidirect
540. #386C2×D3semidirect
541. #386C2×D3semidirect
542. #386C2×D3semidirect
548. #385C2×D3semidirect
549. #385C2×D3semidirect
579. C2×#95C2×D3semidirect
622. C2×C3×D4#41semidirect
733. C2×C4×D3#41semidirect
1260. C2×D4#237semidirect
1768. C3#59009semidirect

Maximal subgroups

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

subgroupindex
C2×#58292
C2×#56062
C3×#24302
#840882
#828952
#828472
#827022
#826702
#826382
#772672
#772512
#771192
#768992
#768672
#767862
#767732
#767542
#748902
#748792
D3×#3862
#748102
#747132
#747112
#747062
#746722
#746332
#746042
#745952
#744192
C2×#46642
#733522
#590093