Finite Group Databasebeta

← #11097439

Subgroups — #11097439

Order 768.

3136 conjugacy classes of subgroups.

The subgroup lattice has 2016 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5589C211yesmaximal, characteristic, complemented
2C2×#5490C211yesmaximal, characteristic, complemented
3C3×#2410C211yesmaximal, characteristic, complemented
4C2×#5223C211yesmaximal, characteristic, complemented
5#84049C211yesmaximal, characteristic, complemented
6#82720C211yesmaximal, characteristic, complemented
7#82714C211yesmaximal, characteristic, complemented
8#82709C211yesmaximal, characteristic, complemented
9#82703C211yesmaximal, characteristic, complemented
10#82604C211yesmaximal, characteristic, complemented
11#82591C211yesmaximal, characteristic, complemented
12#82586C211yesmaximal, characteristic, complemented
13#82108C211yesmaximal, characteristic, complemented
14#77160C211yesmaximal, characteristic, complemented
15#77153C211yesmaximal, characteristic, complemented
16#77149C211yesmaximal, characteristic, complemented
17#76971C211yesmaximal, characteristic, complemented
18#76767C211yesmaximal, characteristic, complemented
19#76765C211yesmaximal, characteristic, complemented
20#76742C211yesmaximal, characteristic, complemented
21#76708C211yesmaximal, characteristic, complemented
22#74908C211yesmaximal, characteristic, complemented
23#74888C211yesmaximal, characteristic, complemented
24#74817C211yesmaximal, characteristic, complemented
25#74813C211yesmaximal, characteristic, complemented
26#74739C211yesmaximal, characteristic, complemented
27#74700C211yesmaximal, characteristic, complemented
28#74595C211yesmaximal, characteristic, complemented
29#74410C211yesmaximal, characteristic, complemented
30#73855C211yesmaximal, characteristic, complemented
31#73829C211yesmaximal, characteristic, complemented
32#40485—31nomaximal, Sylow
33C23×C3×D4C2211yescharacteristic, complemented
34C23×#67C2211yescharacteristic
35C23×#67C2211yescharacteristic
36C22×D3×D4C2211yescharacteristic
37C22×#235C2211yescharacteristic, complemented
38C2×C3×#121C2211yescharacteristic, complemented
39C2×C3×#121C2211yescharacteristic, complemented
40C2×C3×#120C2211yescharacteristic
41C2×C3×#120C2211yescharacteristic
42C22×C3×C22⋊C4C2211yescharacteristic, complemented
43C2×#953C2211yescharacteristic
44C2×#953C2211yescharacteristic
45C2×#953C2211yescharacteristic, complemented
46C2×#953C2211yescharacteristic, complemented
47C22×#217C2211yescharacteristic, complemented
48C22×#217C2211yescharacteristic, complemented
49C2×#940C2211yescharacteristic, complemented
50C2×#940C2211yescharacteristic, complemented
51C2×#939C2211yescharacteristic
52C2×#938C2211yescharacteristic, complemented
53C2×#938C2211yescharacteristic, complemented
54C2×#938C2211yescharacteristic, complemented
55C2×#937C2211yescharacteristic, complemented
56C2×#937C2211yescharacteristic, complemented
57C2×#937C2211yescharacteristic, complemented
58C2×#937C2211yescharacteristic, complemented
59C2×#935C2211yescharacteristic
60C2×#930C2211yescharacteristic
61C2×#930C2211yescharacteristic, complemented
62C2×#929C2211yescharacteristic, complemented
63C2×C4×#67C2211yescharacteristic, complemented
64C22×(C2×D3)⋊C4C2211yescharacteristic
65#5589—28no—
66C2×#892C2211yescharacteristic, complemented
67C2×#886C2211yescharacteristic
68C2×#886C2211yescharacteristic, complemented
69C2×#885C2211yescharacteristic, complemented
70C2×#885C2211yescharacteristic, complemented
71#5490—28no—
72C2×#884C2211yescharacteristic, complemented
73C2×#884C2211yescharacteristic, complemented
74C2×#884C2211yescharacteristic, complemented
75C2×#884C2211yescharacteristic, complemented
76C2×#883C2211yescharacteristic, complemented
77C2×#883C2211yescharacteristic, complemented
78C2×#883C2211yescharacteristic, complemented
79C2×#882C2211yescharacteristic
80C2×#882C2211yescharacteristic, complemented
81C2×#67⋊C4C2211yescharacteristic, complemented
82C2×D3×C22⋊C4C2211yescharacteristic
83C2×#878C2211yescharacteristic, complemented
84C3×#394C2211yescharacteristic, complemented
85C3×#394C2211yescharacteristic, complemented
86C3×#392C2211yescharacteristic, complemented
87C3×#392C2211yescharacteristic, complemented
88C3×#386C2211yescharacteristic
89C3×#386C2211yescharacteristic, complemented
90C3×#386C2211yescharacteristic, complemented
91C3×#385C2211yescharacteristic, complemented
92C3×#379C2211yescharacteristic, complemented
93#5223C2211yescharacteristic
94#5223C2211yescharacteristic
95#5223C2211yescharacteristic
96#5223C2211yescharacteristic
97#5223C2211yescharacteristic, complemented
98#5223C2211yescharacteristic, complemented
99#5223C2211yescharacteristic, complemented
100#5223C2211yescharacteristic, complemented
101#5223C2211yescharacteristic, complemented
102#5223C2211yescharacteristic, complemented
103#5223C2211yescharacteristic, complemented
104#5223C2211yescharacteristic, complemented
105#5223C2211yescharacteristic, complemented
106#5223C2211yescharacteristic, complemented
107#5223C2211yescharacteristic, complemented
108#5223C2211yescharacteristic, complemented
109#5223C2211yescharacteristic, complemented
110#5222C2211yescharacteristic, complemented
111#5221C2211yescharacteristic, complemented
112#5221C2211yescharacteristic, complemented
113#5221C2211yescharacteristic, complemented
114#5221C2211yescharacteristic, complemented
115#5221C2211yescharacteristic, complemented
116#5220C2211yescharacteristic
117#5213C2211yescharacteristic, complemented
118#5213C2211yescharacteristic, complemented
119#5212C2211yescharacteristic, complemented
120#5212C2211yescharacteristic, complemented
121C4×#217C2211yescharacteristic, complemented
122C2×C3⋊#95C2211yescharacteristic, complemented
123#4994C2211yescharacteristic, complemented
124#4991C2211yescharacteristic, complemented
125#4990C2211yescharacteristic, complemented
126#4990C2211yescharacteristic, complemented
127#4987C2211yescharacteristic, complemented
128#4987C2211yescharacteristic, complemented
129#4984C2211yescharacteristic, complemented
130#4961C2211yescharacteristic, complemented
131#4961C2211yescharacteristic, complemented
132#4961C2211yescharacteristic, complemented
133#4961C2211yescharacteristic, complemented
134#4961C2211yescharacteristic, complemented
135#4961C2211yescharacteristic, complemented
136#4961C2211yescharacteristic, complemented
137#4961C2211yescharacteristic, complemented
138#4961C2211yescharacteristic, complemented
139#4960C2211yescharacteristic, complemented
140#4960C2211yescharacteristic, complemented
141#4960C2211yescharacteristic, complemented
142#4960C2211yescharacteristic, complemented
143#4960C2211yescharacteristic, complemented
144#4960C2211yescharacteristic, complemented
145#4960C2211yescharacteristic, complemented
146#4959C2211yescharacteristic, complemented
147#4958C2211yescharacteristic
148#4958C2211yescharacteristic
149#4957C2211yescharacteristic, complemented
150#4957C2211yescharacteristic, complemented
151#4957C2211yescharacteristic, complemented
152#4956C2211yescharacteristic, complemented
153#4956C2211yescharacteristic, complemented
154#4956C2211yescharacteristic, complemented
155#4955C2211yescharacteristic
156#4955C2211yescharacteristic, complemented
157#4953C2211yescharacteristic, complemented
158#4953C2211yescharacteristic, complemented
159#4952C2211yescharacteristic, complemented
160#4952C2211yescharacteristic, complemented
161#4951C2211yescharacteristic, complemented
162#4951C2211yescharacteristic, complemented
163#4950C2211yescharacteristic, complemented
164#4949C2211yescharacteristic, complemented
165#4949C2211yescharacteristic, complemented
166#4948C2211yescharacteristic, complemented
167#4947C2211yescharacteristic, complemented
168#4947C2211yescharacteristic, complemented
169#4944C2211yescharacteristic, complemented
170#4944C2211yescharacteristic, complemented
171#4944C2211yescharacteristic, complemented
172#4943C2211yescharacteristic, complemented
173Dic3×C22⋊C4C2211yescharacteristic, complemented
174#4674C2211yescharacteristic, complemented
175#4672C2211yescharacteristic, complemented
176#4671C2211yescharacteristic, complemented
177#4670C2211yescharacteristic, complemented
178#4670C2211yescharacteristic, complemented
179#4670C2211yescharacteristic, complemented
180#4668C2211yescharacteristic, complemented
181#4666C2211yescharacteristic, complemented
182#4665C2211yescharacteristic, complemented
183#4665C2211yescharacteristic, complemented
184#4664C2211yescharacteristic, complemented
185#4661C2211yescharacteristic, complemented
186#4660C2211yescharacteristic, complemented
187#4658C2211yescharacteristic, complemented
188#4650C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#546—31no—
191C2×#534—31no—
192#2815—31no—
193#2813—31no—
194#2710—31no—
195#2706—31no—
196#2703—31no—
197#2703—31no—
198#2678—31no—
199#2670—31no—
200#2669—31no—
201#2669—31no—
202#2661—31no—
203#2635—31no—
204#2619—31no—
205#2615—31no—
206#2613—31no—
207#2539—31no—
208#2488—31no—
209#2472—31no—
210#2433—31no—
211#2431—31no—
212#2425—31no—
213#2424—31no—
214#2414—31no—
215#2412—31no—
216#2410—31no—
217#2410D311yescharacteristic, complemented
218#2403—31no—
219C2×#392—31no—
220#2342—31no—
221C25×C3C2311yescharacteristic
222C25×C3C2311yescharacteristic
223C24×D3C2311yescharacteristic
224C24×D3C2311yescharacteristic
225C22×C3×D4—42no—
226C22×C3×D4—42no—
227C22×C3×D4—42no—
228C22×C3×D4C2311yescharacteristic
229C22×C3×D4C2311yescharacteristic
230C22×C3×D4C2311yescharacteristic
231C22×C3×D4C2311yescharacteristic
232C22×C3×D4C2311yescharacteristic
233C22×C3×D4C2311yescharacteristic
234C22×C3×D4C2311yescharacteristic
235C22×C3×D4C2311yescharacteristic
236C22×C3×D4C2311yescharacteristic
237C23×C3×C4C2311yescharacteristic
238C23×C3×C4C2311yescharacteristic
239C23×C3×C4C2311yescharacteristic
240C22×#67—24no—
241C22×#67—24no—
242C22×#67—42no—
243C22×#67—42no—
244C22×#67—42no—
245C22×#67—42no—
246C22×#67C2311yescharacteristic
247C22×#67C2311yescharacteristic
248C22×#67C2311yescharacteristic
249C22×#67C2311yescharacteristic
250C22×#67C2311yescharacteristic
251C22×#67C2311yescharacteristic
252C22×#67C2311yescharacteristic
253C22×#67C2311yescharacteristic
254C22×#67C2311yescharacteristic
255C22×#67C2311yescharacteristic
256C22×#67C2311yescharacteristic
257C22×#67C2311yescharacteristic
258C22×#67C2311yescharacteristic
259C22×#67C2311yescharacteristic
260C22×#67C2311yescharacteristic
261C22×#67C2311yescharacteristic
262C22×#67C2311yescharacteristic
263C22×#67C2311yescharacteristic
264C22×#67C2311yescharacteristic
265C22×#67C2311yescharacteristic
266C23×Dic3C2311yescharacteristic
267C23×Dic3C2311yescharacteristic
268C23×Dic3C2311yescharacteristic
269C2×D3×D4—24no—
270C2×D3×D4—42no—
271C2×D3×D4—42no—
272C2×#235—24no—
273C2×#235—42no—
274C2×#235—42no—
275C22×D12C2311yescharacteristic
276C22×D12C2311yescharacteristic
277C22×D12C2311yescharacteristic
278C22×D12C2311yescharacteristic
279C22×C4×D3C2311yescharacteristic
280C22×C4×D3C2311yescharacteristic
281C22×C4×D3C2311yescharacteristic
282C22×C4×D3C2311yescharacteristic
283C22×Dic6C2311yescharacteristic
284C3×#121—42no—
285C3×#121—42no—
286C3×#120—24no—
287C3×#120—42no—
288C2×C3×C4⋊C4C2311yescharacteristic
289C2×C3×C4⋊C4C2311yescharacteristic
290C2×C3×C22⋊C4—24no—
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
304C2×C3×C22⋊C4C2311yescharacteristic
305C2×C3×C22⋊C4C2311yescharacteristic
306#953—24no—
307#953—24no—
308#953—42no—
309#953—42no—
310C2×#217—42no—
311C2×#217—42no—
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—42no—
336#940—42no—
337#939—42no—
338#938—24no—
339#938—24no—
340#938—42no—
341#937—24no—
342#937—24no—
343#937—42no—
344#937—42no—
345#935—24no—
346#930—24no—
347#930—42no—
348#929—24no—
349C4×#67—24no—
350C2×(C2×D3)⋊C4—42no—
351C2×(C2×D3)⋊C4C2311yescharacteristic
352C2×(C2×D3)⋊C4C2311yescharacteristic
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×(C2×D3)⋊C4C2311yescharacteristic
372C2×(C2×D3)⋊C4C2311yescharacteristic
373C2×(C2×D3)⋊C4C2311yescharacteristic
374C2×(C2×D3)⋊C4C2311yescharacteristic
375C2×C4⋊Dic3C2311yescharacteristic
376C2×C4⋊Dic3C2311yescharacteristic
377C2×C4⋊Dic3C2311yescharacteristic
378C2×C4⋊Dic3C2311yescharacteristic
379C2×C4⋊Dic3C2311yescharacteristic
380C2×C4⋊Dic3C2311yescharacteristic
381C2×C4⋊Dic3C2311yescharacteristic
382C2×C4⋊Dic3C2311yescharacteristic
383C2×Dic3⋊C4C2311yescharacteristic
384C2×Dic3⋊C4C2311yescharacteristic
385C2×Dic3⋊C4C2311yescharacteristic
386C2×Dic3⋊C4C2311yescharacteristic
387C2×Dic3⋊C4C2311yescharacteristic
388C2×Dic3⋊C4C2311yescharacteristic
389C2×C4×Dic3C2311yescharacteristic
390C2×C4×Dic3C2311yescharacteristic
391C2×C4×Dic3C2311yescharacteristic
392C2×C4×Dic3C2311yescharacteristic
393C2×C4×Dic3C2311yescharacteristic
394#892—42no—
395#886—24no—
396#886—42no—
397#885—24no—
398#885—42no—
399#884—24no—
400#884—24no—
401#884—24no—
402#884—24no—
403#883—24no—
404#883—24no—
405#883—24no—
406#882—24no—
407#882—42no—
408#67⋊C4—24no—
409D3×C22⋊C4D418yescomplemented
410#878—24no—
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
432C3⋊#95C2311yescharacteristic
433C3⋊#95C2311yescharacteristic
434C3⋊#95C2311yescharacteristic
435C22×#41—31no—
436C23×D4—31no—
437C23×D4—31no—
438C23×D4—31no—
439C23×D4C2×D311yescharacteristic, complemented
440#546—68no—
441#534—68no—
442C2×#127—31no—
443C2×#127—31no—
444C2×#124—31no—
445C2×#124—31no—
446C2×#123—31no—
447C2×#123—31no—
448C2×#123—31no—
449C2×#123—31no—
450C2×#123—31no—
451C2×#123—31no—
452C2×#123—31no—
453C2×C22⋊Q8—31no—
454C2×#121—31no—
455C2×#121—31no—
456C2×#121—31no—
457C2×#121—31no—
458C2×#121—31no—
459C2×#121—31no—
460C2×#121—31no—
461C2×#121—31no—
462C2×#121—31no—
463C2×#121—31no—
464C2×#121C2×D311yescharacteristic, complemented
465C2×#121C2×D311yescharacteristic, complemented
466C2×#120—31no—
467C2×#120—31no—
468C2×#120—31no—
469C2×#120—31no—
470C2×#120—31no—
471C2×#120—31no—
472C2×#120—31no—
473C2×#120—31no—
474C2×#120—31no—
475C2×#120—31no—
476C2×#120C2×D311yescharacteristic
477C2×#120C2×D311yescharacteristic
478C2×C4×D4—31no—
479C2×C4×D4—31no—
480C2×#117—31no—
481C22×C22⋊C4—31no—
482C22×C22⋊C4—31no—
483C22×C22⋊C4—31no—
484C22×C22⋊C4—31no—
485C22×C22⋊C4C2×D311yescharacteristic, complemented
486#400—31no—
487#400—31no—
488#399—31no—
489#399—31no—
490#398—31no—
491#397—31no—
492#397—31no—
493#397—31no—
494#397—31no—
495#397—31no—
496#396—31no—
497#396—31no—
498#394—31no—
499#394—31no—
500#394—31no—
501#394—31no—
502#394—31no—
503#394—31no—
504#394—31no—
505#394—31no—
506#394—31no—
507#394—31no—
508#394—31no—
509#394—31no—
510#394—31no—
511#394C2×D311yescharacteristic, complemented
512#394C2×D311yescharacteristic, complemented
513#393—31no—
514#393—31no—
515#392—31no—
516#392—31no—
517#392—31no—
518#392—31no—
519#392—31no—
520#392—31no—
521#392—31no—
522#392—31no—
523#392—31no—
524#392—31no—
525#392—31no—
526#392—31no—
527#392—31no—
528#392—31no—
529#392—31no—
530#392—31no—
531#392—31no—
532#392—31no—
533#392—31no—
534#392—31no—
535#392—31no—
536#392—31no—
537#392—31no—
538#392—31no—
539#392—31no—
540#392C2×D311yescharacteristic, complemented
541#392C2×D311yescharacteristic, complemented
542#391—31no—
543#390—31no—
544#390—31no—
545#390—31no—
546#390—31no—
547#390—31no—
548#390—31no—
549#390—31no—
550#390—31no—
551#389—31no—
552#388—31no—
553#388—31no—
554#388—31no—
555#388—31no—
556#388—31no—
557#388—31no—
558#388—31no—
559#388—31no—
560#388—31no—
561#388—31no—
562#386—31no—
563#386—31no—
564#386—31no—
565#386—31no—
566#386—31no—
567#386—31no—
568#386—31no—
569#386—31no—
570#386—31no—
571#386—31no—
572#386C2×D311yescharacteristic
573#386C2×D311yescharacteristic, complemented
574#386C2×D311yescharacteristic, complemented
575#385—31no—
576#385—31no—
577#385C2×D311yescharacteristic, complemented
578#382—31no—
579#381—31no—
580#381—31no—
581#380—31no—
582#380—31no—
583#380—31no—
584#380—31no—
585#379—31no—
586#379—31no—
587#379C2×D311yescharacteristic, complemented
588C4×C22⋊C4—31no—
589C4×C22⋊C4—31no—
590C4×C22⋊C4—31no—
591C2×#95—31no—
592C24×C3—22no—
593C24×C3—22no—
594C24×C3—22no—
595C24×C3—22no—
596C24×C3—22no—
597C24×C3—22no—
598C24×C3—22no—
599C24×C3—41no—
600C24×C3—41no—
601C24×C3—41no—
602C24×C3—41no—
603C24×C3—41no—
604C24×C3—41no—
605C24×C3—41no—
606C24×C3C2411yescharacteristic
607C24×C3C2411yescharacteristic
608C24×C3C2411yescharacteristic
609C24×C3C2411yescharacteristic
610C24×C3C2411yescharacteristic
611C24×C3C2411yescharacteristic
612C23×D3—22no—
613C23×D3—22no—
614C23×D3—22no—
615C23×D3—41no—
616C23×D3—41no—
617C23×D3—41no—
618C23×D3—41no—
619C23×D3—41no—
620C23×D3—41no—
621C23×D3—41no—
622C23×D3—41no—
623C23×D3—41no—
624C23×D3—41no—
625C23×D3C2×D414yes—
626C23×D3C2411yescharacteristic
627C23×D3C2411yescharacteristic
628C23×D3C2411yescharacteristic
629C23×D3C2411yescharacteristic
630C2×C3×D4—22no—
631C2×C3×D4—22no—
632C2×C3×D4—22no—
633C2×C3×D4—22no—
634C2×C3×D4—22no—
635C2×C3×D4—22no—
636C2×C3×D4—22no—
637C2×C3×D4—22no—
638C2×C3×D4—22no—
639C2×C3×D4—22no—
640C2×C3×D4—41no—
641C2×C3×D4—41no—
642C2×C3×D4—41no—
643C2×C3×D4—41no—
644C2×C3×D4—41no—
645C2×C3×D4—41no—
646C2×C3×D4—41no—
647C2×C3×D4—41no—
648C2×C3×D4—41no—
649C2×C3×D4—41no—
650C2×C3×D4—41no—
651C2×C3×D4—41no—
652C2×C3×D4—41no—
653C2×C3×D4—41no—
654C2×C3×D4—41no—
655C2×C3×D4—41no—
656C2×C3×D4—41no—
657C2×C3×D4—416no—
658C22×C3×C4—22no—
659C22×C3×C4—22no—
660C22×C3×C4—22no—
661C22×C3×C4—22no—
662C22×C3×C4—22no—
663C22×C3×C4—41no—
664C22×C3×C4—41no—
665C22×C3×C4—41no—
666C22×C3×C4—41no—
667C22×C3×C4C2411yescharacteristic
668C22×C3×C4C2411yescharacteristic
669C22×C3×C4C2411yescharacteristic
670C22×C3×C4C2411yescharacteristic
671C22×C3×C4C2411yescharacteristic
672C22×C3×C4C2411yescharacteristic
673C22×C3×C4C2411yescharacteristic
674C22×C3×C4C2411yescharacteristic
675C22×C3×C4C2411yescharacteristic
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—22no—
690C2×#67—22no—
691C2×#67—22no—
692C2×#67—22no—
693C2×#67—22no—
694C2×#67—22no—
695C2×#67—22no—
696C2×#67—22no—
697C2×#67—22no—
698C2×#67—22no—
699C2×#67—22no—
700C2×#67—22no—
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—41no—
713C2×#67—41no—
714C2×#67—41no—
715C2×#67—41no—
716C2×#67—41no—
717C2×#67—41no—
718C2×#67—41no—
719C2×#67—41no—
720C2×#67—41no—
721C2×#67—41no—
722C2×#67—41no—
723C2×#67—41no—
724C2×#67—41no—
725C2×#67—41no—
726C2×#67—41no—
727C2×#67—41no—
728C2×#67—41no—
729C2×#67—41no—
730C2×#67—41no—
731C2×#67—41no—
732C2×#67—41no—
733C2×#67—41no—
734C2×#67—41no—
735C2×#67—41no—
736C2×#67—416no—
737C2×#67—416no—
738C22×Dic3—22no—
739C22×Dic3—22no—
740C22×Dic3—22no—
741C22×Dic3—22no—
742C22×Dic3—22no—
743C22×Dic3—22no—
744C22×Dic3—41no—
745C22×Dic3—41no—
746C22×Dic3—41no—
747C22×Dic3C2411yescharacteristic
748C22×Dic3C2411yescharacteristic
749C22×Dic3C2411yescharacteristic
750C22×Dic3C2411yescharacteristic
751C22×Dic3C2411yescharacteristic
752C22×Dic3C2411yescharacteristic
753C22×Dic3C2411yescharacteristic
754C22×Dic3C2411yescharacteristic
755C22×Dic3C2411yescharacteristic
756C22×Dic3C2411yescharacteristic
757C22×Dic3C2411yescharacteristic
758C22×Dic3C2411yescharacteristic
759D3×D4—416no—
760#235—416no—
761C2×D12—22no—
762C2×D12—22no—
763C2×D12—22no—
764C2×D12—22no—
765C2×D12—41no—
766C2×D12—41no—
767C2×D12—41no—
768C2×D12—41no—
769C2×D12—41no—
770C2×D12—41no—
771C2×D12—41no—
772C2×D12—41no—
773C2×C4×D3—22no—
774C2×C4×D3—22no—
775C2×C4×D3—22no—
776C2×C4×D3—41no—
777C2×C4×D3—41no—
778C2×C4×D3—41no—
779C2×C4×D3—41no—
780C2×C4×D3—41no—
781C2×C4×D3—41no—
782C2×C4×D3—41no—
783C2×C4×D3C2×D414yescomplemented
784C2×C4×D3C2×D414yescomplemented
785C2×Dic6—22no—
786C2×Dic6—22no—
787C2×Dic6—41no—
788C3×C4⋊C4—22no—
789C3×C4⋊C4—41no—
790C3×C22⋊C4—22no—
791C3×C22⋊C4—22no—
792C3×C22⋊C4—22no—
793C3×C22⋊C4—22no—
794C3×C22⋊C4—22no—
795C3×C22⋊C4—22no—
796C3×C22⋊C4—22no—
797C3×C22⋊C4—41no—
798C3×C22⋊C4—41no—
799C3×C22⋊C4—41no—
800C3×C22⋊C4—41no—
801C3×C22⋊C4—41no—
802C3×C22⋊C4—41no—
803C3×C22⋊C4—41no—
804C3×C22⋊C4C2×D414yes—
805#217—22no—
806#217—22no—
807#217—22no—
808#217—22no—
809#217—22no—
810#217—22no—
811#217—22no—
812#217—22no—
813#217—22no—
814#217—22no—
815#217—41no—
816#217—41no—
817#217—41no—
818#217—41no—
819#217—41no—
820#217—41no—
821#217—41no—
822#217—41no—
823#217—41no—
824#217—41no—
825#217—41no—
826#217—41no—
827#217C2×D414yes—
828(C2×D3)⋊C4—22no—
829(C2×D3)⋊C4—22no—
830(C2×D3)⋊C4—22no—
831(C2×D3)⋊C4—22no—
832(C2×D3)⋊C4—22no—
833(C2×D3)⋊C4—22no—
834(C2×D3)⋊C4—22no—
835(C2×D3)⋊C4—22no—
836(C2×D3)⋊C4—41no—
837(C2×D3)⋊C4—41no—
838(C2×D3)⋊C4—41no—
839(C2×D3)⋊C4—41no—
840(C2×D3)⋊C4—41no—
841(C2×D3)⋊C4—41no—
842(C2×D3)⋊C4—41no—
843(C2×D3)⋊C4—41no—
844(C2×D3)⋊C4—41no—
845(C2×D3)⋊C4—41no—
846(C2×D3)⋊C4—41no—
847(C2×D3)⋊C4—41no—
848(C2×D3)⋊C4—41no—
849(C2×D3)⋊C4—41no—
850(C2×D3)⋊C4C2×D414yescomplemented
851(C2×D3)⋊C4C2×D414yescomplemented
852C4⋊Dic3—22no—
853C4⋊Dic3—22no—
854C4⋊Dic3—22no—
855C4⋊Dic3—41no—
856C4⋊Dic3—41no—
857C4⋊Dic3—41no—
858C4⋊Dic3—41no—
859C4⋊Dic3—41no—
860Dic3⋊C4—22no—
861Dic3⋊C4—22no—
862Dic3⋊C4—22no—
863Dic3⋊C4—22no—
864Dic3⋊C4—22no—
865Dic3⋊C4—41no—
866C4×Dic3—22no—
867C4×Dic3—22no—
868C4×Dic3—41no—
869C4×Dic3—41no—
870C4×Dic3—41no—
871C25—31no—
872C25—31no—
873C25C22×D311yescharacteristic
874C25C22×D311yescharacteristic
875C2×#41—64no—
876C2×#41—122no—
877C2×#41—122no—
878C22×Q8—31no—
879C22×D4—31no—
880C22×D4—31no—
881C22×D4—31no—
882C22×D4—31no—
883C22×D4—31no—
884C22×D4—31no—
885C22×D4—31no—
886C22×D4—31no—
887C22×D4—31no—
888C22×D4—31no—
889C22×D4—31no—
890C22×D4—31no—
891C22×D4—31no—
892C22×D4—31no—
893C22×D4—31no—
894C22×D4—31no—
895C22×D4—31no—
896C22×D4—31no—
897C22×D4—31no—
898C22×D4—31no—
899C22×D4—31no—
900C22×D4—31no—
901C22×D4—31no—
902C22×D4—31no—
903C22×D4—42no—
904C22×D4—42no—
905C22×D4—42no—
906C22×D4—64no—
907C22×D4—64no—
908C22×D4—64no—
909C22×D4—122no—
910C22×D4—122no—
911C22×D4—122no—
912C22×D4—122no—
913C22×D4—122no—
914C22×D4—122no—
915C22×D4C22×D311yescharacteristic
916C22×D4C22×D311yescharacteristic
917C22×D4C22×D311yescharacteristic
918C22×D4C22×D311yescharacteristic
919C22×D4C22×D311yescharacteristic
920C22×D4C22×D311yescharacteristic
921C22×D4C22×D311yescharacteristic
922C22×D4C22×D311yescharacteristic
923C22×D4C22×D311yescharacteristic
924C23×C4—31no—
925C23×C4—31no—
926C23×C4—31no—
927C23×C4—31no—
928C23×C4—31no—
929C23×C4—31no—
930C23×C4—31no—
931C23×C4C22×D311yescharacteristic
932C23×C4C22×D311yescharacteristic
933C23×C4C22×D311yescharacteristic
934#127—122no—
935#127—122no—
936#124—64no—
937#124—122no—
938#123—64no—
939#123—64no—
940#123—64no—
941#123—64no—
942#123—64no—
943#123—64no—
944#123—122no—
945C22⋊Q8—64no—
946#121—42no—
947#121—42no—
948#121—64no—
949#121—64no—
950#121—64no—
951#121—64no—
952#121—64no—
953#121—64no—
954#121—64no—
955#121—122no—
956#121—122no—
957#121—122no—
958#120—24no—
959#120—42no—
960#120—64no—
961#120—64no—
962#120—64no—
963#120—64no—
964#120—64no—
965#120—122no—
966#120—122no—
967#120—122no—
968#120—122no—
969#120—122no—
970C4×D4—64no—
971C4×D4—64no—
972#117—122no—
973C2×C4⋊C4—31no—
974C2×C4⋊C4—31no—
975C2×C4⋊C4—31no—
976C2×C4⋊C4—31no—
977C2×C4⋊C4—31no—
978C2×C4⋊C4—31no—
979C2×C4⋊C4—31no—
980C2×C4⋊C4—31no—
981C2×C4⋊C4—31no—
982C2×C4⋊C4—31no—
983C2×C4⋊C4—31no—
984C2×C4⋊C4—31no—
985C2×C4⋊C4—31no—
986C2×C4⋊C4—31no—
987C2×C4⋊C4C22×D311yescharacteristic
988C2×C4⋊C4C22×D311yescharacteristic
989C2×C22⋊C4—24no—
990C2×C22⋊C4—31no—
991C2×C22⋊C4—31no—
992C2×C22⋊C4—31no—
993C2×C22⋊C4—38no—
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—31no—
1011C2×C22⋊C4—31no—
1012C2×C22⋊C4—31no—
1013C2×C22⋊C4—31no—
1014C2×C22⋊C4—31no—
1015C2×C22⋊C4—31no—
1016C2×C22⋊C4—31no—
1017C2×C22⋊C4—31no—
1018C2×C22⋊C4—31no—
1019C2×C22⋊C4—31no—
1020C2×C22⋊C4—31no—
1021C2×C22⋊C4—31no—
1022C2×C22⋊C4—31no—
1023C2×C22⋊C4—31no—
1024C2×C22⋊C4—31no—
1025C2×C22⋊C4—31no—
1026C2×C22⋊C4—31no—
1027C2×C22⋊C4—31no—
1028C2×C22⋊C4—31no—
1029C2×C22⋊C4—31no—
1030C2×C22⋊C4—31no—
1031C2×C22⋊C4—31no—
1032C2×C22⋊C4—31no—
1033C2×C22⋊C4—31no—
1034C2×C22⋊C4—31no—
1035C2×C22⋊C4—31no—
1036C2×C22⋊C4—31no—
1037C2×C22⋊C4—31no—
1038C2×C22⋊C4—122no—
1039C2×C22⋊C4—122no—
1040C2×C22⋊C4—122no—
1041C2×C22⋊C4C22×D311yescharacteristic
1042C2×C22⋊C4C22×D311yescharacteristic
1043C2×C22⋊C4C22×D311yescharacteristic
1044C2×C22⋊C4C22×D311yescharacteristic
1045C2×C22⋊C4C22×D311yescharacteristic
1046C2×C22⋊C4C22×D311yescharacteristic
1047C2×C22⋊C4C22×D311yescharacteristic
1048C2×C22⋊C4C22×D311yescharacteristic
1049C2×C22⋊C4C22×D311yescharacteristic
1050C2×C22⋊C4C22×D311yescharacteristic
1051C2×C22⋊C4C22×D311yescharacteristic
1052C2×C22⋊C4C22×D311yescharacteristic
1053C2×C22⋊C4C22×D311yescharacteristic
1054C2×C22⋊C4C22×D311yescharacteristic
1055C2×C22⋊C4C22×D311yescharacteristic
1056C2×C42—31no—
1057C2×C42—31no—
1058C2×C42—31no—
1059C2×C42—31no—
1060C2×C42—31no—
1061#95—31no—
1062#95—31no—
1063#95—31no—
1064#95—31no—
1065#95—31no—
1066#95—31no—
1067#95—31no—
1068#95—31no—
1069#95—31no—
1070#95—31no—
1071#95—31no—
1072#95—31no—
1073#95—31no—
1074#95—31no—
1075#95—31no—
1076#95—31no—
1077#95—31no—
1078#95—31no—
1079#95—31no—
1080#95—31no—
1081#95C22×D311yescharacteristic
1082#95C22×D311yescharacteristic
1083#95C22×D311yescharacteristic
1084#95C22×D311yescharacteristic
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—21no—
1103C23×C3—21no—
1104C23×C3—21no—
1105C23×C3—21no—
1106C23×C3—21no—
1107C23×C3—21no—
1108C23×C3—21no—
1109C23×C3—21no—
1110C23×C3—21no—
1111C23×C3—21no—
1112C23×C3—21no—
1113C23×C3—21no—
1114C23×C3—21no—
1115C23×C3—21no—
1116C23×C3—21no—
1117C23×C3—21no—
1118C23×C3—21no—
1119C23×C3—21no—
1120C23×C3—21no—
1121C23×C3—21no—
1122C23×C3—21no—
1123C23×C3—44no—
1124C23×C3—44no—
1125C23×C3—44no—
1126C23×C3—44no—
1127C23×C3—44no—
1128C23×C3—44no—
1129C23×C3—44no—
1130C23×C3—82no—
1131C23×C3—82no—
1132C23×C3—82no—
1133C23×C3—82no—
1134C23×C3—82no—
1135C23×C3—82no—
1136C23×C3—82no—
1137C23×C3C22×D412yes—
1138C23×C3H(5,𝔽2)12yes—
1139C23×C3H(5,𝔽2)12yes—
1140C23×C3H(5,𝔽2)12yes—
1141C23×C3C2511yescharacteristic
1142C22×D3—21no—
1143C22×D3—21no—
1144C22×D3—21no—
1145C22×D3—21no—
1146C22×D3—21no—
1147C22×D3—21no—
1148C22×D3—21no—
1149C22×D3—21no—
1150C22×D3—21no—
1151C22×D3—21no—
1152C22×D3—21no—
1153C22×D3—21no—
1154C22×D3—28no—
1155C22×D3—21no—
1156C22×D3—21no—
1157C22×D3—21no—
1158C22×D3—21no—
1159C22×D3—21no—
1160C22×D3—21no—
1161C22×D3—21no—
1162C22×D3—21no—
1163C22×D3—21no—
1164C22×D3—21no—
1165C22×D3—21no—
1166C22×D3—21no—
1167C22×D3—21no—
1168C22×D3—21no—
1169C22×D3—44no—
1170C22×D3—44no—
1171C22×D3—44no—
1172C22×D3—82no—
1173C22×D3—82no—
1174C22×D3—82no—
1175C22×D3—82no—
1176C22×D3—82no—
1177C22×D3—82no—
1178C22×D3—82no—
1179C22×D3—82no—
1180C22×D3—82no—
1181C22×D3—82no—
1182C22×D3C22×D412yes—
1183C22×D3C22×D412yes—
1184C3×D4—44no—
1185C3×D4—44no—
1186C3×D4—44no—
1187C3×D4—44no—
1188C3×D4—44no—
1189C3×D4—82no—
1190C3×D4—82no—
1191C3×D4—82no—
1192C3×D4—82no—
1193C2×C3×C4—21no—
1194C2×C3×C4—21no—
1195C2×C3×C4—21no—
1196C2×C3×C4—21no—
1197C2×C3×C4—21no—
1198C2×C3×C4—21no—
1199C2×C3×C4—21no—
1200C2×C3×C4—21no—
1201C2×C3×C4—21no—
1202C2×C3×C4—21no—
1203C2×C3×C4—21no—
1204C2×C3×C4—21no—
1205C2×C3×C4—21no—
1206C2×C3×C4—21no—
1207C2×C3×C4—21no—
1208C2×C3×C4—21no—
1209C2×C3×C4—21no—
1210C2×C3×C4—21no—
1211C2×C3×C4—21no—
1212C2×C3×C4—21no—
1213C2×C3×C4—21no—
1214C2×C3×C4—21no—
1215C2×C3×C4—21no—
1216C2×C3×C4—21no—
1217C2×C3×C4—44no—
1218C2×C3×C4—44no—
1219C2×C3×C4—82no—
1220C2×C3×C4C22×D412yes—
1221C2×C3×C4C22×D412yes—
1222C2×C3×C4H(5,𝔽2)12yes—
1223#67—28no—
1224#67—44no—
1225#67—44no—
1226#67—44no—
1227#67—44no—
1228#67—44no—
1229#67—44no—
1230#67—44no—
1231#67—44no—
1232#67—44no—
1233#67—44no—
1234#67—44no—
1235#67—82no—
1236#67—82no—
1237#67—82no—
1238#67—82no—
1239#67—82no—
1240#67—82no—
1241#67—82no—
1242#67—82no—
1243C2×Dic3—21no—
1244C2×Dic3—21no—
1245C2×Dic3—21no—
1246C2×Dic3—21no—
1247C2×Dic3—21no—
1248C2×Dic3—21no—
1249C2×Dic3—21no—
1250C2×Dic3—21no—
1251C2×Dic3—21no—
1252C2×Dic3—21no—
1253C2×Dic3—21no—
1254C2×Dic3—21no—
1255C2×Dic3—21no—
1256C2×Dic3—21no—
1257C2×Dic3—21no—
1258C2×Dic3—21no—
1259C2×Dic3—21no—
1260C2×Dic3—21no—
1261C2×Dic3—21no—
1262C2×Dic3—21no—
1263C2×Dic3—21no—
1264C2×Dic3—21no—
1265C2×Dic3—21no—
1266C2×Dic3—21no—
1267C2×Dic3—21no—
1268C2×Dic3—21no—
1269C2×Dic3—21no—
1270C2×Dic3—21no—
1271C2×Dic3—21no—
1272C2×Dic3—21no—
1273C2×Dic3—21no—
1274C2×Dic3—21no—
1275C2×Dic3—21no—
1276C2×Dic3—44no—
1277C2×Dic3—44no—
1278C2×Dic3—82no—
1279C2×Dic3C22×D412yes—
1280C2×Dic3C22×D412yes—
1281C2×Dic3H(5,𝔽2)12yes—
1282D12—44no—
1283D12—44no—
1284D12—82no—
1285D12—82no—
1286C4×D3—44no—
1287C4×D3—44no—
1288C4×D3—44no—
1289C4×D3—44no—
1290Dic6—44no—
1291C24—22no—
1292C24—22no—
1293C24—22no—
1294C24—22no—
1295C24—22no—
1296C24—22no—
1297C24—22no—
1298C24—31no—
1299C24—31no—
1300C24—34no—
1301C24—31no—
1302C24—31no—
1303C24—41no—
1304C24—41no—
1305C24—41no—
1306C24—41no—
1307C24—41no—
1308C24—41no—
1309C24—41no—
1310C24—62no—
1311C24—62no—
1312C24—62no—
1313C24—121no—
1314C24—121no—
1315C24—121no—
1316C24—121no—
1317C24—121no—
1318C24—121no—
1319C24—121no—
1320C24—121no—
1321C24—121no—
1322C24—121no—
1323C24C23×D311yescharacteristic
1324C24C23×D311yescharacteristic
1325C24C23×D311yescharacteristic
1326C24C23×D311yescharacteristic
1327C24C23×D311yescharacteristic
1328C24C23×D311yescharacteristic
1329#41—1216no—
1330C2×Q8—62no—
1331C2×Q8—62no—
1332C2×Q8—121no—
1333C2×D4—22no—
1334C2×D4—22no—
1335C2×D4—22no—
1336C2×D4—22no—
1337C2×D4—22no—
1338C2×D4—22no—
1339C2×D4—22no—
1340C2×D4—22no—
1341C2×D4—22no—
1342C2×D4—22no—
1343C2×D4—41no—
1344C2×D4—41no—
1345C2×D4—41no—
1346C2×D4—41no—
1347C2×D4—41no—
1348C2×D4—41no—
1349C2×D4—41no—
1350C2×D4—41no—
1351C2×D4—41no—
1352C2×D4—41no—
1353C2×D4—41no—
1354C2×D4—41no—
1355C2×D4—41no—
1356C2×D4—41no—
1357C2×D4—41no—
1358C2×D4—41no—
1359C2×D4—41no—
1360C2×D4—416no—
1361C2×D4—62no—
1362C2×D4—62no—
1363C2×D4—62no—
1364C2×D4—62no—
1365C2×D4—62no—
1366C2×D4—62no—
1367C2×D4—62no—
1368C2×D4—62no—
1369C2×D4—62no—
1370C2×D4—62no—
1371C2×D4—62no—
1372C2×D4—62no—
1373C2×D4—62no—
1374C2×D4—62no—
1375C2×D4—62no—
1376C2×D4—62no—
1377C2×D4—62no—
1378C2×D4—62no—
1379C2×D4—62no—
1380C2×D4—62no—
1381C2×D4—62no—
1382C2×D4—62no—
1383C2×D4—62no—
1384C2×D4—62no—
1385C2×D4—62no—
1386C2×D4—62no—
1387C2×D4—62no—
1388C2×D4—62no—
1389C2×D4—62no—
1390C2×D4—121no—
1391C2×D4—121no—
1392C2×D4—121no—
1393C2×D4—121no—
1394C2×D4—121no—
1395C2×D4—121no—
1396C2×D4—121no—
1397C2×D4—121no—
1398C2×D4—121no—
1399C2×D4—121no—
1400C2×D4—121no—
1401C2×D4—121no—
1402C2×D4—121no—
1403C2×D4—121no—
1404C2×D4—121no—
1405C2×D4—121no—
1406C2×D4—121no—
1407C2×D4—121no—
1408C2×D4—121no—
1409C2×D4—121no—
1410C2×D4—121no—
1411C2×D4—121no—
1412C2×D4—121no—
1413C2×D4—121no—
1414C2×D4—121no—
1415C2×D4—121no—
1416C2×D4—121no—
1417C2×D4—121no—
1418C2×D4—121no—
1419C2×D4—121no—
1420C2×D4—121no—
1421C2×D4—121no—
1422C2×D4—121no—
1423C2×D4—121no—
1424C2×D4—121no—
1425C2×D4—121no—
1426C2×D4—121no—
1427C2×D4—121no—
1428C2×D4—121no—
1429C2×D4—121no—
1430C2×D4—121no—
1431C2×D4—121no—
1432C2×D4—121no—
1433C2×D4—1216no—
1434C2×D4—1216no—
1435C2×D4—1216no—
1436C22×C4—22no—
1437C22×C4—22no—
1438C22×C4—22no—
1439C22×C4—22no—
1440C22×C4—22no—
1441C22×C4—31no—
1442C22×C4—31no—
1443C22×C4—31no—
1444C22×C4—34no—
1445C22×C4—34no—
1446C22×C4—31no—
1447C22×C4—31no—
1448C22×C4—31no—
1449C22×C4—31no—
1450C22×C4—31no—
1451C22×C4—31no—
1452C22×C4—31no—
1453C22×C4—31no—
1454C22×C4—31no—
1455C22×C4—41no—
1456C22×C4—41no—
1457C22×C4—41no—
1458C22×C4—41no—
1459C22×C4—62no—
1460C22×C4—62no—
1461C22×C4—62no—
1462C22×C4—62no—
1463C22×C4—62no—
1464C22×C4—62no—
1465C22×C4—62no—
1466C22×C4—62no—
1467C22×C4—62no—
1468C22×C4—121no—
1469C22×C4—121no—
1470C22×C4—121no—
1471C22×C4—121no—
1472C22×C4—121no—
1473C22×C4—121no—
1474C22×C4—121no—
1475C22×C4—121no—
1476C22×C4—121no—
1477C22×C4—121no—
1478C22×C4C23×D311yescharacteristic
1479C22×C4C23×D311yescharacteristic
1480C22×C4C23×D311yescharacteristic
1481C22×C4C23×D311yescharacteristic
1482C22×C4C23×D311yescharacteristic
1483C22×C4C23×D311yescharacteristic
1484C22×C4C23×D311yescharacteristic
1485C22×C4C23×D311yescharacteristic
1486C22×C4C23×D311yescharacteristic
1487C4⋊C4—22no—
1488C4⋊C4—41no—
1489C4⋊C4—62no—
1490C4⋊C4—62no—
1491C4⋊C4—62no—
1492C4⋊C4—62no—
1493C4⋊C4—62no—
1494C4⋊C4—62no—
1495C4⋊C4—62no—
1496C4⋊C4—62no—
1497C4⋊C4—121no—
1498C4⋊C4—121no—
1499C4⋊C4—121no—
1500C4⋊C4—121no—
1501C4⋊C4—121no—
1502C4⋊C4—121no—
1503C22⋊C4—22no—
1504C22⋊C4—22no—
1505C22⋊C4—22no—
1506C22⋊C4—22no—
1507C22⋊C4—22no—
1508C22⋊C4—22no—
1509C22⋊C4—22no—
1510C22⋊C4—34no—
1511C22⋊C4—34no—
1512C22⋊C4—34no—
1513C22⋊C4—41no—
1514C22⋊C4—41no—
1515C22⋊C4—41no—
1516C22⋊C4—41no—
1517C22⋊C4—41no—
1518C22⋊C4—41no—
1519C22⋊C4—41no—
1520C22⋊C4—62no—
1521C22⋊C4—62no—
1522C22⋊C4—62no—
1523C22⋊C4—62no—
1524C22⋊C4—62no—
1525C22⋊C4—62no—
1526C22⋊C4—62no—
1527C22⋊C4—62no—
1528C22⋊C4—62no—
1529C22⋊C4—62no—
1530C22⋊C4—62no—
1531C22⋊C4—62no—
1532C22⋊C4—62no—
1533C22⋊C4—62no—
1534C22⋊C4—62no—
1535C22⋊C4—62no—
1536C22⋊C4—62no—
1537C22⋊C4—62no—
1538C22⋊C4—121no—
1539C22⋊C4—121no—
1540C22⋊C4—121no—
1541C22⋊C4—121no—
1542C22⋊C4—121no—
1543C22⋊C4—121no—
1544C22⋊C4—121no—
1545C22⋊C4—121no—
1546C22⋊C4—121no—
1547C22⋊C4—121no—
1548C22⋊C4—121no—
1549C22⋊C4—121no—
1550C22⋊C4—121no—
1551C22⋊C4—121no—
1552C22⋊C4—121no—
1553C22⋊C4—121no—
1554C22⋊C4—121no—
1555C22⋊C4—121no—
1556C22⋊C4—121no—
1557C22⋊C4—121no—
1558C22⋊C4—121no—
1559C22⋊C4—121no—
1560C22⋊C4—121no—
1561C22⋊C4—121no—
1562C22⋊C4—121no—
1563C22⋊C4—121no—
1564C22⋊C4D3×D414yes—
1565C42—62no—
1566C42—62no—
1567C42—121no—
1568C42—121no—
1569C42—121no—
1570C22×C3—22no—
1571C22×C3—22no—
1572C22×C3—22no—
1573C22×C3—22no—
1574C22×C3—22no—
1575C22×C3—22no—
1576C22×C3—22no—
1577C22×C3—22no—
1578C22×C3—22no—
1579C22×C3—41no—
1580C22×C3—41no—
1581C22×C3—41no—
1582C22×C3—41no—
1583C22×C3—41no—
1584C22×C3—41no—
1585C22×C3—41no—
1586C22×C3—41no—
1587C22×C3—41no—
1588C22×C3—41no—
1589C22×C3—41no—
1590C22×C3—41no—
1591C22×C3—41no—
1592C22×C3—41no—
1593C22×C3—41no—
1594C22×C3—41no—
1595C22×C3—41no—
1596C22×C3—41no—
1597C22×C3—41no—
1598C22×C3—41no—
1599C22×C3—41no—
1600C22×C3—41no—
1601C22×C3—41no—
1602C22×C3—41no—
1603C22×C3—41no—
1604C22×C3—41no—
1605C22×C3—41no—
1606C22×C3—41no—
1607C22×C3—41no—
1608C22×C3—41no—
1609C22×C3—41no—
1610C22×C3—41no—
1611C22×C3—88no—
1612C22×C3—88no—
1613C22×C3#53514yes—
1614C22×C3C23×D411yescharacteristic
1615C22×C3C2×H(5,𝔽2)11yescharacteristic
1616C22×C3C2×H(5,𝔽2)11yescharacteristic
1617C22×C3C2×H(5,𝔽2)11yescharacteristic
1618C22×C3C2×H(5,𝔽2)11yescharacteristic
1619C22×C3C2×H(5,𝔽2)11yescharacteristic
1620C22×C3#58511yescharacteristic
1621C2×D3—22no—
1622C2×D3—22no—
1623C2×D3—22no—
1624C2×D3—22no—
1625C2×D3—22no—
1626C2×D3—22no—
1627C2×D3—41no—
1628C2×D3—41no—
1629C2×D3—41no—
1630C2×D3—41no—
1631C2×D3—41no—
1632C2×D3—41no—
1633C2×D3—41no—
1634C2×D3—41no—
1635C2×D3—41no—
1636C2×D3—41no—
1637C2×D3—41no—
1638C2×D3—41no—
1639C2×D3—41no—
1640C2×D3—41no—
1641C2×D3—41no—
1642C2×D3—41no—
1643C2×D3—41no—
1644C2×D3—41no—
1645C2×D3—41no—
1646C2×D3—41no—
1647C2×D3—41no—
1648C2×D3—41no—
1649C2×D3—88no—
1650C2×D3—88no—
1651C3×C4—22no—
1652C3×C4—22no—
1653C3×C4—22no—
1654C3×C4—41no—
1655C3×C4—41no—
1656C3×C4—41no—
1657C3×C4—41no—
1658C3×C4—41no—
1659C3×C4—41no—
1660Dic3—22no—
1661Dic3—22no—
1662Dic3—22no—
1663Dic3—41no—
1664Dic3—41no—
1665Dic3—41no—
1666Dic3—41no—
1667Dic3—41no—
1668Dic3—41no—
1669Dic3—41no—
1670Dic3—41no—
1671Dic3—41no—
1672C23—21no—
1673C23—21no—
1674C23—21no—
1675C23—21no—
1676C23—21no—
1677C23—21no—
1678C23—21no—
1679C23—21no—
1680C23—21no—
1681C23—21no—
1682C23—21no—
1683C23—21no—
1684C23—21no—
1685C23—21no—
1686C23—21no—
1687C23—21no—
1688C23—21no—
1689C23—21no—
1690C23—21no—
1691C23—21no—
1692C23—21no—
1693C23—21no—
1694C23—21no—
1695C23—21no—
1696C23—21no—
1697C23—21no—
1698C23—21no—
1699C23—21no—
1700C23—21no—
1701C23—21no—
1702C23—21no—
1703C23—21no—
1704C23—21no—
1705C23—21no—
1706C23—21no—
1707C23—21no—
1708C23—21no—
1709C23—21no—
1710C23—32no—
1711C23—32no—
1712C23—44no—
1713C23—44no—
1714C23—44no—
1715C23—44no—
1716C23—44no—
1717C23—44no—
1718C23—44no—
1719C23—61no—
1720C23—61no—
1721C23—61no—
1722C23—61no—
1723C23—61no—
1724C23—61no—
1725C23—61no—
1726C23—61no—
1727C23—61no—
1728C23—61no—
1729C23—61no—
1730C23—61no—
1731C23—68no—
1732C23—61no—
1733C23—61no—
1734C23—61no—
1735C23—61no—
1736C23—61no—
1737C23—61no—
1738C23—61no—
1739C23—61no—
1740C23—61no—
1741C23—61no—
1742C23—61no—
1743C23—61no—
1744C23—61no—
1745C23—61no—
1746C23—82no—
1747C23—82no—
1748C23—82no—
1749C23—82no—
1750C23—82no—
1751C23—82no—
1752C23—82no—
1753C23—124no—
1754C23—124no—
1755C23—124no—
1756C23—242no—
1757C23—242no—
1758C23—242no—
1759C23—242no—
1760C23—242no—
1761C23—242no—
1762C23—242no—
1763C23—242no—
1764C23—242no—
1765C23—242no—
1766C23C2×D3×D412yes—
1767C23#100412yes—
1768C23#100412yes—
1769C23#100912yes—
1770C23C24×D311yescharacteristic
1771Q8—124no—
1772D4—44no—
1773D4—44no—
1774D4—44no—
1775D4—44no—
1776D4—44no—
1777D4—68no—
1778D4—82no—
1779D4—82no—
1780D4—82no—
1781D4—82no—
1782D4—124no—
1783D4—124no—
1784D4—124no—
1785D4—124no—
1786D4—124no—
1787D4—124no—
1788D4—124no—
1789D4—124no—
1790D4—124no—
1791D4—124no—
1792D4—124no—
1793D4—124no—
1794D4—124no—
1795D4—242no—
1796D4—242no—
1797D4—242no—
1798D4—242no—
1799D4—242no—
1800D4—242no—
1801D4—242no—
1802D4—242no—
1803D4—242no—
1804D4—242no—
1805C2×C4—21no—
1806C2×C4—21no—
1807C2×C4—21no—
1808C2×C4—21no—
1809C2×C4—21no—
1810C2×C4—21no—
1811C2×C4—21no—
1812C2×C4—21no—
1813C2×C4—21no—
1814C2×C4—21no—
1815C2×C4—21no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—21no—
1822C2×C4—21no—
1823C2×C4—21no—
1824C2×C4—21no—
1825C2×C4—21no—
1826C2×C4—21no—
1827C2×C4—21no—
1828C2×C4—21no—
1829C2×C4—32no—
1830C2×C4—32no—
1831C2×C4—32no—
1832C2×C4—44no—
1833C2×C4—44no—
1834C2×C4—61no—
1835C2×C4—61no—
1836C2×C4—61no—
1837C2×C4—61no—
1838C2×C4—61no—
1839C2×C4—61no—
1840C2×C4—61no—
1841C2×C4—61no—
1842C2×C4—61no—
1843C2×C4—61no—
1844C2×C4—61no—
1845C2×C4—61no—
1846C2×C4—61no—
1847C2×C4—61no—
1848C2×C4—61no—
1849C2×C4—61no—
1850C2×C4—61no—
1851C2×C4—61no—
1852C2×C4—61no—
1853C2×C4—61no—
1854C2×C4—61no—
1855C2×C4—61no—
1856C2×C4—61no—
1857C2×C4—61no—
1858C2×C4—61no—
1859C2×C4—61no—
1860C2×C4—61no—
1861C2×C4—61no—
1862C2×C4—61no—
1863C2×C4—61no—
1864C2×C4—61no—
1865C2×C4—61no—
1866C2×C4—61no—
1867C2×C4—82no—
1868C2×C4—124no—
1869C2×C4—124no—
1870C2×C4—124no—
1871C2×C4—124no—
1872C2×C4—124no—
1873C2×C4—124no—
1874C2×C4—242no—
1875C2×C4C2×D3×D412yes—
1876C2×C4C2×D3×D412yes—
1877C2×C4#100412yes—
1878C2×C3—24no—
1879C2×C3—42no—
1880C2×C3—81no—
1881C2×C3—81no—
1882C2×C3—81no—
1883C2×C3—81no—
1884C2×C3C2×#53511yescharacteristic
1885C2×C3#348411yescharacteristic
1886C2×C3#349611yescharacteristic
1887C2×C3#353211yescharacteristic
1888C2×C3#353411yescharacteristic
1889C2×C3#354211yescharacteristic
1890C2×C3#354311yescharacteristic
1891D3—42no—
1892D3—42no—
1893D3—81no—
1894D3—81no—
1895C22—22no—
1896C22—22no—
1897C22—22no—
1898C22—22no—
1899C22—22no—
1900C22—22no—
1901C22—22no—
1902C22—22no—
1903C22—22no—
1904C22—41no—
1905C22—41no—
1906C22—41no—
1907C22—41no—
1908C22—41no—
1909C22—41no—
1910C22—41no—
1911C22—41no—
1912C22—41no—
1913C22—41no—
1914C22—41no—
1915C22—41no—
1916C22—41no—
1917C22—41no—
1918C22—41no—
1919C22—41no—
1920C22—41no—
1921C22—41no—
1922C22—41no—
1923C22—41no—
1924C22—41no—
1925C22—41no—
1926C22—41no—
1927C22—41no—
1928C22—41no—
1929C22—41no—
1930C22—41no—
1931C22—41no—
1932C22—41no—
1933C22—41no—
1934C22—41no—
1935C22—41no—
1936C22—62no—
1937C22—62no—
1938C22—62no—
1939C22—62no—
1940C22—62no—
1941C22—62no—
1942C22—88no—
1943C22—88no—
1944C22—121no—
1945C22—121no—
1946C22—121no—
1947C22—121no—
1948C22—121no—
1949C22—121no—
1950C22—121no—
1951C22—121no—
1952C22—121no—
1953C22—121no—
1954C22—121no—
1955C22—121no—
1956C22—121no—
1957C22—121no—
1958C22—121no—
1959C22—121no—
1960C22—121no—
1961C22—121no—
1962C22—121no—
1963C22—121no—
1964C22—121no—
1965C22—121no—
1966C22—248no—
1967C22—248no—
1968C22#560714yes—
1969C22C22×D3×D411yescharacteristic
1970C22C2×#100411yescharacteristic
1971C22C2×#100411yescharacteristic
1972C22C2×#100411yescharacteristic
1973C22C2×#100911yescharacteristic
1974C22D3×H(5,𝔽2)11yescharacteristic
1975C22#596611yescharacteristic
1976C4—22no—
1977C4—22no—
1978C4—22no—
1979C4—41no—
1980C4—41no—
1981C4—41no—
1982C4—41no—
1983C4—41no—
1984C4—41no—
1985C4—62no—
1986C4—62no—
1987C4—62no—
1988C4—121no—
1989C4—121no—
1990C4—121no—
1991C4—121no—
1992C4—121no—
1993C4—121no—
1994C4—121no—
1995C4—121no—
1996C4—121no—
1997C3#4048511yescharacteristic, complemented, Sylow
1998C2—24no—
1999C2—42no—
2000C2—81no—
2001C2—81no—
2002C2—81no—
2003C2—81no—
2004C2—122no—
2005C2—122no—
2006C2—241no—
2007C2—241no—
2008C2#8592111yescharacteristic
2009C2C2×#560711yescharacteristic
2010C2#8630211yescharacteristic
2011C2#8662011yescharacteristic
2012C2#8662111yescharacteristic
2013C2#8664411yescharacteristic
2014C2#8665111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2410C2
hypercenter#2410D3
hypocenterC3#40485
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2410

Complements

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

NH ≅ G/Ntype
1. C2×#5589C2semidirect
2. C2×#5490C2semidirect
3. C3×#2410C2semidirect
4. C2×#5223C2semidirect
5. #84049C2semidirect
6. #82720C2semidirect
7. #82714C2semidirect
8. #82709C2semidirect
9. #82703C2semidirect
10. #82604C2semidirect
11. #82591C2semidirect
12. #82586C2semidirect
13. #82108C2semidirect
14. #77160C2semidirect
15. #77153C2semidirect
16. #77149C2semidirect
17. #76971C2semidirect
18. #76767C2semidirect
19. #76765C2semidirect
20. #76742C2semidirect
21. #76708C2semidirect
22. #74908C2semidirect
23. #74888C2semidirect
24. #74817C2semidirect
25. #74813C2semidirect
26. #74739C2semidirect
27. #74700C2semidirect
28. #74595C2semidirect
29. #74410C2semidirect
30. #73855C2semidirect
31. #73829C2semidirect
33. C23×C3×D4C22semidirect
37. C22×#235C22semidirect
38. C2×C3×#121C22semidirect
39. C2×C3×#121C22semidirect
42. C22×C3×C22⋊C4C22semidirect
45. C2×#953C22semidirect
46. C2×#953C22semidirect
47. C22×#217C22semidirect
48. C22×#217C22semidirect
49. C2×#940C22semidirect
50. C2×#940C22semidirect
52. C2×#938C22semidirect
53. C2×#938C22semidirect
54. C2×#938C22semidirect
55. C2×#937C22semidirect
56. C2×#937C22semidirect
57. C2×#937C22semidirect
58. C2×#937C22semidirect
61. C2×#930C22semidirect
62. C2×#929C22semidirect
63. C2×C4×#67C22semidirect
66. C2×#892C22semidirect
68. C2×#886C22semidirect
69. C2×#885C22semidirect
70. C2×#885C22semidirect
72. C2×#884C22semidirect
73. C2×#884C22semidirect
74. C2×#884C22semidirect
75. C2×#884C22semidirect
76. C2×#883C22semidirect
77. C2×#883C22semidirect
78. C2×#883C22semidirect
80. C2×#882C22semidirect
81. C2×#67⋊C4C22semidirect
83. C2×#878C22semidirect
84. C3×#394C22semidirect
85. C3×#394C22semidirect
86. C3×#392C22semidirect
87. C3×#392C22semidirect
89. C3×#386C22semidirect
90. C3×#386C22semidirect
91. C3×#385C22semidirect
92. C3×#379C22semidirect
97. #5223C22semidirect
98. #5223C22semidirect
99. #5223C22semidirect
100. #5223C22semidirect
101. #5223C22semidirect
102. #5223C22semidirect
103. #5223C22semidirect
104. #5223C22semidirect
105. #5223C22semidirect
106. #5223C22semidirect
107. #5223C22semidirect
108. #5223C22semidirect
109. #5223C22semidirect
110. #5222C22semidirect
111. #5221C22semidirect
112. #5221C22semidirect
113. #5221C22semidirect
114. #5221C22semidirect
115. #5221C22semidirect
117. #5213C22semidirect
118. #5213C22semidirect
119. #5212C22semidirect
120. #5212C22semidirect
121. C4×#217C22semidirect
122. C2×C3⋊#95C22semidirect
123. #4994C22semidirect
124. #4991C22semidirect
125. #4990C22semidirect
126. #4990C22semidirect
127. #4987C22semidirect
128. #4987C22semidirect
129. #4984C22semidirect
130. #4961C22semidirect
131. #4961C22semidirect
132. #4961C22semidirect
133. #4961C22semidirect
134. #4961C22semidirect
135. #4961C22semidirect
136. #4961C22semidirect
137. #4961C22semidirect
138. #4961C22semidirect
139. #4960C22semidirect
140. #4960C22semidirect
141. #4960C22semidirect
142. #4960C22semidirect
143. #4960C22semidirect
144. #4960C22semidirect
145. #4960C22semidirect
146. #4959C22semidirect
149. #4957C22semidirect
150. #4957C22semidirect
151. #4957C22semidirect
152. #4956C22semidirect
153. #4956C22semidirect
154. #4956C22semidirect
156. #4955C22semidirect
157. #4953C22semidirect
158. #4953C22semidirect
159. #4952C22semidirect
160. #4952C22semidirect
161. #4951C22semidirect
162. #4951C22semidirect
163. #4950C22semidirect
164. #4949C22semidirect
165. #4949C22semidirect
166. #4948C22semidirect
167. #4947C22semidirect
168. #4947C22semidirect
169. #4944C22semidirect
170. #4944C22semidirect
171. #4944C22semidirect
172. #4943C22semidirect
173. Dic3×C22⋊C4C22semidirect
174. #4674C22semidirect
175. #4672C22semidirect
176. #4671C22semidirect
177. #4670C22semidirect
178. #4670C22semidirect
179. #4670C22semidirect
180. #4668C22semidirect
181. #4666C22semidirect
182. #4665C22semidirect
183. #4665C22semidirect
184. #4664C22semidirect
185. #4661C22semidirect
186. #4660C22semidirect
187. #4658C22semidirect
188. #4650C22semidirect
189. #4646C22semidirect
217. #2410D3semidirect
409. D3×C22⋊C4D4semidirect
439. C23×D4C2×D3semidirect
464. C2×#121C2×D3semidirect
465. C2×#121C2×D3semidirect
485. C22×C22⋊C4C2×D3semidirect
511. #394C2×D3semidirect
512. #394C2×D3semidirect
540. #392C2×D3semidirect
541. #392C2×D3semidirect
573. #386C2×D3semidirect
574. #386C2×D3semidirect
577. #385C2×D3semidirect
587. #379C2×D3semidirect
783. C2×C4×D3C2×D4semidirect
784. C2×C4×D3C2×D4semidirect
850. (C2×D3)⋊C4C2×D4semidirect
851. (C2×D3)⋊C4C2×D4semidirect
1997. C3#40485semidirect

Maximal subgroups

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

subgroupindex
C2×#55892
C2×#54902
C3×#24102
C2×#52232
#840492
#827202
#827142
#827092
#827032
#826042
#825912
#825862
#821082
#771602
#771532
#771492
#769712
#767672
#767652
#767422
#767082
#749082
#748882
#748172
#748132
#747392
#747002
#745952
#744102
#738552
#738292
#404853