Finite Group Databasebeta

← #11633554

Subgroups — #11633554

Order 768.

2824 conjugacy classes of subgroups.

The subgroup lattice has 1722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5824C211yesmaximal, characteristic, complemented
2C2×#5547C211yesmaximal, characteristic, complemented
3C3×#2339C211yesmaximal, characteristic, complemented
4#84096C211yesmaximal, characteristic, complemented
5#82414C211yesmaximal, characteristic, complemented
6#82354C211yesmaximal, characteristic, complemented
7#82340C211yesmaximal, characteristic, complemented
8#76646C211yesmaximal, characteristic, complemented
9#76628C211yesmaximal, characteristic, complemented
10#76517C211yesmaximal, characteristic, complemented
11#76501C211yesmaximal, characteristic, complemented
12#74885C211yesmaximal, characteristic, complemented
13#74805C211yesmaximal, characteristic, complemented
14#74751C211yesmaximal, characteristic, complemented
15#74714C211yesmaximal, characteristic, complemented
16#74693C211yesmaximal, characteristic, complemented
17#74688C211yesmaximal, characteristic, complemented
18#74672C211yesmaximal, characteristic, complemented
19#74659C211yesmaximal, characteristic, complemented
20#74131C211yesmaximal, characteristic, complemented
21#74094C211yesmaximal, characteristic, complemented
22#74079C211yesmaximal, characteristic, complemented
23#74066C211yesmaximal, characteristic, complemented
24#74040C211yesmaximal, characteristic, complemented
25#73889C211yesmaximal, characteristic, complemented
26#73589C211yesmaximal, characteristic, complemented
27#73461C211yesmaximal, characteristic, complemented
28#73375C211yesmaximal, characteristic, complemented
29#73368C211yesmaximal, characteristic, complemented
30C2×#4667C211yesmaximal, characteristic, complemented
31#73351C211yesmaximal, characteristic, complemented
32#59023—31nomaximal, Sylow
33C22×C3×#41C2211yescharacteristic
34C22×#237C2211yescharacteristic
35C22×#235C2211yescharacteristic
36C23×C4×D3C2211yescharacteristic
37C2×C3×C4×D4C2211yescharacteristic
38C2×C3×C4×D4C2211yescharacteristic
39#5824—28no—
40C2×#946C2211yescharacteristic, complemented
41C2×#944C2211yescharacteristic, complemented
42C2×#939C2211yescharacteristic
43C2×#939C2211yescharacteristic, complemented
44C2×#937C2211yescharacteristic
45C2×#937C2211yescharacteristic
46C2×#935C2211yescharacteristic
47C2×#935C2211yescharacteristic, complemented
48C2×D4×Dic3C2211yescharacteristic
49C2×#929C2211yescharacteristic
50C2×#929C2211yescharacteristic, complemented
51C2×C4×#67C2211yescharacteristic
52C2×C4×#67C2211yescharacteristic
53C2×C4×#67C2211yescharacteristic, complemented
54C2×C4×#67C2211yescharacteristic, complemented
55C22×(C2×D3)⋊C4C2211yescharacteristic
56C22×(C2×D3)⋊C4C2211yescharacteristic
57C2×#924C2211yescharacteristic, complemented
58C22×Dic3⋊C4C2211yescharacteristic
59C22×Dic3⋊C4C2211yescharacteristic
60C22×Dic3⋊C4C2211yescharacteristic, complemented
61#5547—28no—
62C2×#896C2211yescharacteristic
63C2×#894C2211yescharacteristic
64C2×#884C2211yescharacteristic
65C2×#883C2211yescharacteristic
66C2×#882C2211yescharacteristic
67C2×#67⋊C4C2211yescharacteristic
68C2×#67⋊C4C2211yescharacteristic
69C2×#67⋊C4C2211yescharacteristic
70C2×#878C2211yescharacteristic
71C2×#878C2211yescharacteristic, complemented
72C2×C4×D12C2211yescharacteristic
73C2×#872C2211yescharacteristic
74C3×#391C2211yescharacteristic, complemented
75C3×#391C2211yescharacteristic, complemented
76C3×#386C2211yescharacteristic
77C3×#386C2211yescharacteristic
78C3×#386C2211yescharacteristic, complemented
79C3×#386C2211yescharacteristic, complemented
80C3×#381C2211yescharacteristic
81C3×#381C2211yescharacteristic, complemented
82C3×#380C2211yescharacteristic, complemented
83C3×C4×C22⋊C4C2211yescharacteristic, complemented
84C2×C3×#95C2211yescharacteristic
85C2×C3×#95C2211yescharacteristic, complemented
86#5231C2211yescharacteristic
87#5231C2211yescharacteristic
88#5223C2211yescharacteristic
89#5223C2211yescharacteristic
90#5220C2211yescharacteristic
91#5220C2211yescharacteristic
92#5213C2211yescharacteristic
93#5213C2211yescharacteristic
94#5213C2211yescharacteristic
95#5213C2211yescharacteristic
96#5213C2211yescharacteristic
97#5213C2211yescharacteristic
98#5213C2211yescharacteristic
99#5212C2211yescharacteristic
100#5211C2211yescharacteristic
101#5211C2211yescharacteristic, complemented
102#5210C2211yescharacteristic
103#5210C2211yescharacteristic, complemented
104#5210C2211yescharacteristic, complemented
105C2×C3⋊#95C2211yescharacteristic
106#4994C2211yescharacteristic
107#4994C2211yescharacteristic
108#4989C2211yescharacteristic, complemented
109#4985C2211yescharacteristic, complemented
110#4983C2211yescharacteristic, complemented
111#4976C2211yescharacteristic, complemented
112#4961C2211yescharacteristic
113#4961C2211yescharacteristic
114#4960C2211yescharacteristic
115#4960C2211yescharacteristic
116#4958C2211yescharacteristic
117#4958C2211yescharacteristic
118#4957C2211yescharacteristic, complemented
119#4956C2211yescharacteristic
120#4956C2211yescharacteristic
121#4956C2211yescharacteristic, complemented
122#4956C2211yescharacteristic, complemented
123#4955C2211yescharacteristic
124#4952C2211yescharacteristic, complemented
125#4952C2211yescharacteristic, complemented
126#4948C2211yescharacteristic, complemented
127#4948C2211yescharacteristic, complemented
128#4944C2211yescharacteristic, complemented
129#4943C2211yescharacteristic
130#4943C2211yescharacteristic
131#4942C2211yescharacteristic
132#4942C2211yescharacteristic, complemented
133#4942C2211yescharacteristic, complemented
134Dic3×C22⋊C4C2211yescharacteristic
135Dic3×C22⋊C4C2211yescharacteristic, complemented
136#4940C2211yescharacteristic
137#4940C2211yescharacteristic
138#4940C2211yescharacteristic, complemented
139#4933C2211yescharacteristic, complemented
140#4933C2211yescharacteristic, complemented
141C4×Dic3⋊C4C2211yescharacteristic, complemented
142#4676C2211yescharacteristic
143#4676C2211yescharacteristic
144#4675C2211yescharacteristic, complemented
145#4674C2211yescharacteristic, complemented
146#4673C2211yescharacteristic
147#4673C2211yescharacteristic
148#4672C2211yescharacteristic
149#4672C2211yescharacteristic
150#4669C2211yescharacteristic
151#4669C2211yescharacteristic
152#4668C2211yescharacteristic
153#4668C2211yescharacteristic
154#4668C2211yescharacteristic, complemented
155#4667C2211yescharacteristic
156#4667C2211yescharacteristic
157#4667C2211yescharacteristic
158#4667C2211yescharacteristic
159#4667C2211yescharacteristic
160#4667C2211yescharacteristic
161#4667C2211yescharacteristic
162#4667C2211yescharacteristic
163#4666C2211yescharacteristic
164#4666C2211yescharacteristic
165#4665C2211yescharacteristic
166#4665C2211yescharacteristic
167#4665C2211yescharacteristic
168#4665C2211yescharacteristic
169#4664C2211yescharacteristic, complemented
170#4664C2211yescharacteristic, complemented
171D3×#95C2211yescharacteristic, complemented
172#4661C2211yescharacteristic, complemented
173#4660C2211yescharacteristic, complemented
174#4660C2211yescharacteristic, complemented
175#4658C2211yescharacteristic, complemented
176#4658C2211yescharacteristic, complemented
177#4658C2211yescharacteristic, complemented
178#4657C2211yescharacteristic, complemented
179#4657C2211yescharacteristic, complemented
180#4654C2211yescharacteristic, complemented
181#4652C2211yescharacteristic, complemented
182#4650C2211yescharacteristic, complemented
183#4650C2211yescharacteristic, complemented
184#4647C2211yescharacteristic, complemented
185#4646C2211yescharacteristic, complemented
186#4646C2211yescharacteristic, complemented
187#4646C2211yescharacteristic, complemented
188#4646C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#547—31no—
191C2×#525—31no—
192#2693—31no—
193#2693—31no—
194#2687—31no—
195#2687—31no—
196#2535—31no—
197#2534—31no—
198#2534—31no—
199#2503—31no—
200#2492—31no—
201#2457—31no—
202#2457—31no—
203#2450—31no—
204#2450—31no—
205#2439—31no—
206#2420—31no—
207#2419—31no—
208#2419—31no—
209#2417—31no—
210#2417—31no—
211#2407—31no—
212#2404—31no—
213#2404—31no—
214#2361—31no—
215#2352—31no—
216#2339—31no—
217#2339—31no—
218#2339D311yescharacteristic, complemented
219C4×#120—31no—
220C2×#380—31no—
221C24×D3C2311yescharacteristic
222C2×C3×#41—24no—
223C2×C3×#41—24no—
224C2×C3×#41—42no—
225C22×C3×Q8C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C22×C3×D4C2311yescharacteristic
229C23×C3×C4C2311yescharacteristic
230C23×C3×C4C2311yescharacteristic
231C23×C3×C4C2311yescharacteristic
232C23×C3×C4C2311yescharacteristic
233C23×C3×C4C2311yescharacteristic
234C23×C3×C4C2311yescharacteristic
235C23×C3×C4C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C22×#67C2311yescharacteristic
242C22×#67C2311yescharacteristic
243C23×Dic3C2311yescharacteristic
244C23×Dic3C2311yescharacteristic
245C23×Dic3C2311yescharacteristic
246C23×Dic3C2311yescharacteristic
247C23×Dic3C2311yescharacteristic
248C2×#237—24no—
249C2×#237—24no—
250C2×#237—42no—
251C2×#235—24no—
252C2×#235—24no—
253C2×#235—42no—
254C22×D12C2311yescharacteristic
255C22×D12C2311yescharacteristic
256C22×C4×D3—24no—
257C22×C4×D3—24no—
258C22×C4×D3—42no—
259C22×C4×D3C2311yescharacteristic
260C22×C4×D3C2311yescharacteristic
261C22×C4×D3C2311yescharacteristic
262C22×C4×D3C2311yescharacteristic
263C22×C4×D3C2311yescharacteristic
264C22×C4×D3C2311yescharacteristic
265C22×C4×D3C2311yescharacteristic
266C22×Dic6C2311yescharacteristic
267C22×Dic6C2311yescharacteristic
268C3×C4×D4—24no—
269C3×C4×D4—42no—
270C2×C3×C4⋊C4C2311yescharacteristic
271C2×C3×C4⋊C4C2311yescharacteristic
272C2×C3×C22⋊C4C2311yescharacteristic
273C2×C3×C22⋊C4C2311yescharacteristic
274C2×C3×C22⋊C4C2311yescharacteristic
275C2×C3×C22⋊C4C2311yescharacteristic
276C2×C3×C22⋊C4C2311yescharacteristic
277C2×C3×C22⋊C4C2311yescharacteristic
278C2×C3×C22⋊C4C2311yescharacteristic
279C2×C3×C22⋊C4C2311yescharacteristic
280C2×C3×C42C2311yescharacteristic
281C2×C3×C42C2311yescharacteristic
282C2×#217C2311yescharacteristic
283C2×#217C2311yescharacteristic
284C2×#217C2311yescharacteristic
285C2×#217C2311yescharacteristic
286C2×#217C2311yescharacteristic
287C2×#217C2311yescharacteristic
288C2×#217C2311yescharacteristic
289C2×#217C2311yescharacteristic
290C2×#217C2311yescharacteristic
291C2×#217C2311yescharacteristic
292C2×#217C2311yescharacteristic
293#946—24no—
294#944—24no—
295#939—24no—
296#939D418yescomplemented
297#937—24no—
298#937—24no—
299#935—24no—
300#935—24no—
301D4×Dic3—24no—
302#929—24no—
303#929—24no—
304C4×#67—24no—
305C4×#67—24no—
306C4×#67—24no—
307C4×#67—42no—
308C2×(C2×D3)⋊C4—42no—
309C2×(C2×D3)⋊C4—42no—
310C2×(C2×D3)⋊C4C2311yescharacteristic
311C2×(C2×D3)⋊C4C2311yescharacteristic
312C2×(C2×D3)⋊C4C2311yescharacteristic
313C2×(C2×D3)⋊C4C2311yescharacteristic
314C2×(C2×D3)⋊C4C2311yescharacteristic
315C2×(C2×D3)⋊C4C2311yescharacteristic
316C2×(C2×D3)⋊C4C2311yescharacteristic
317C2×(C2×D3)⋊C4C2311yescharacteristic
318C2×(C2×D3)⋊C4C2311yescharacteristic
319C2×(C2×D3)⋊C4C2311yescharacteristic
320C2×(C2×D3)⋊C4C2311yescharacteristic
321C2×(C2×D3)⋊C4C2311yescharacteristic
322C2×(C2×D3)⋊C4C2311yescharacteristic
323C2×(C2×D3)⋊C4C2311yescharacteristic
324C2×(C2×D3)⋊C4C2311yescharacteristic
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×C4⋊Dic3C2311yescharacteristic
336C2×C4⋊Dic3C2311yescharacteristic
337C2×C4⋊Dic3C2311yescharacteristic
338C2×C4⋊Dic3C2311yescharacteristic
339#924—24no—
340C2×Dic3⋊C4—24no—
341C2×Dic3⋊C4—24no—
342C2×Dic3⋊C4—42no—
343C2×Dic3⋊C4C2311yescharacteristic
344C2×Dic3⋊C4C2311yescharacteristic
345C2×Dic3⋊C4C2311yescharacteristic
346C2×Dic3⋊C4C2311yescharacteristic
347C2×Dic3⋊C4C2311yescharacteristic
348C2×Dic3⋊C4C2311yescharacteristic
349C2×Dic3⋊C4C2311yescharacteristic
350C2×Dic3⋊C4C2311yescharacteristic
351C2×Dic3⋊C4C2311yescharacteristic
352C2×Dic3⋊C4C2311yescharacteristic
353C2×Dic3⋊C4C2311yescharacteristic
354C2×Dic3⋊C4C2311yescharacteristic
355C2×Dic3⋊C4C2311yescharacteristic
356C2×Dic3⋊C4C2311yescharacteristic
357C2×Dic3⋊C4C2311yescharacteristic
358C2×Dic3⋊C4C2311yescharacteristic
359C2×Dic3⋊C4C2311yescharacteristic
360C2×Dic3⋊C4C2311yescharacteristic
361C2×Dic3⋊C4C2311yescharacteristic
362C2×Dic3⋊C4C2311yescharacteristic
363C2×Dic3⋊C4C2311yescharacteristic
364C2×C4×Dic3C2311yescharacteristic
365C2×C4×Dic3C2311yescharacteristic
366C2×C4×Dic3C2311yescharacteristic
367C2×C4×Dic3C2311yescharacteristic
368C2×C4×Dic3C2311yescharacteristic
369#896—24no—
370#894—24no—
371#884—24no—
372#883—24no—
373#882—24no—
374#67⋊C4—24no—
375#67⋊C4—42no—
376#67⋊C4—42no—
377#878—24no—
378#878—42no—
379C4×D12—24no—
380#872—24no—
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×#41—31no—
425C22×#41C2×D311yescharacteristic
426C24×C4—31no—
427#547—68no—
428C2×C4⋊Q8—31no—
429#525—68no—
430C2×#123—31no—
431C2×#123—31no—
432C2×#123—31no—
433C2×#123—31no—
434C2×#123—31no—
435C2×#123—31no—
436C2×C22⋊Q8—31no—
437C2×C22⋊Q8—31no—
438C2×C22⋊Q8—31no—
439C2×C22⋊Q8—31no—
440C2×C22⋊Q8—31no—
441C2×#121—31no—
442C2×#121—31no—
443C2×#121—31no—
444C2×#120—31no—
445C2×#120—31no—
446C2×#120—31no—
447C2×C4×D4—31no—
448C2×C4×D4—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×D4C2×D311yescharacteristic
457C2×C4×D4C2×D311yescharacteristic
458C2×#117—31no—
459C22×C4⋊C4—31no—
460C22×C4⋊C4—31no—
461C22×C4⋊C4—31no—
462C22×C22⋊C4—31no—
463C22×C22⋊C4—31no—
464#400—31no—
465#400—31no—
466#400—31no—
467#400—31no—
468#400—31no—
469#400—31no—
470#398—31no—
471#398—31no—
472#398—31no—
473#398—31no—
474#397—31no—
475#397—31no—
476#397—31no—
477#397—31no—
478#396—31no—
479#396—31no—
480#396—31no—
481#396—31no—
482#396—31no—
483#396—31no—
484#394—31no—
485#394—31no—
486#394—31no—
487#394—31no—
488#393—31no—
489#393—31no—
490#393—31no—
491#393—31no—
492#392—31no—
493#392—31no—
494#392—31no—
495#392—31no—
496#391—31no—
497#391—31no—
498#391—31no—
499#391—31no—
500#391—31no—
501#391C2×D311yescharacteristic, complemented
502#391C2×D311yescharacteristic, complemented
503#390—31no—
504#389—31no—
505#389—31no—
506#388—31no—
507#388—31no—
508#388—31no—
509#388—31no—
510#388—31no—
511#388—31no—
512#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#386C2×D311yescharacteristic
536#386C2×D311yescharacteristic
537#386C2×D311yescharacteristic, complemented
538#386C2×D311yescharacteristic, complemented
539#385—31no—
540#385—31no—
541#385—31no—
542#385—31no—
543#385—31no—
544#385—31no—
545#385—31no—
546#382—31no—
547#382—31no—
548#381—31no—
549#381—31no—
550#381—31no—
551#381—31no—
552#381—31no—
553#381—31no—
554#381C2×D311yescharacteristic
555#381C2×D311yescharacteristic, complemented
556#380—31no—
557#380—31no—
558#380—31no—
559#380—31no—
560#380—31no—
561#380—31no—
562#380—31no—
563#380—31no—
564#380—31no—
565#380—31no—
566#380—31no—
567#380—31no—
568#380C2×D311yescharacteristic, complemented
569#379—31no—
570C4×C4⋊C4—31no—
571C4×C22⋊C4—31no—
572C4×C22⋊C4—31no—
573C4×C22⋊C4—31no—
574C4×C22⋊C4—31no—
575C4×C22⋊C4C2×D311yescharacteristic, complemented
576C2×#95—31no—
577C2×#95—31no—
578C2×#95C2×D311yescharacteristic
579C2×#95C2×D311yescharacteristic, complemented
580C24×C3C2411yescharacteristic
581C24×C3C2411yescharacteristic
582C24×C3C2411yescharacteristic
583C23×D3—22no—
584C23×D3—22no—
585C23×D3—22no—
586C23×D3—22no—
587C23×D3—22no—
588C23×D3—41no—
589C23×D3—41no—
590C23×D3C2411yescharacteristic
591C23×D3C2411yescharacteristic
592C23×D3C2411yescharacteristic
593C3×#41—416no—
594C2×C3×Q8—22no—
595C2×C3×Q8—22no—
596C2×C3×Q8—41no—
597C2×C3×D4—22no—
598C2×C3×D4—22no—
599C2×C3×D4—22no—
600C2×C3×D4—22no—
601C2×C3×D4—22no—
602C2×C3×D4—22no—
603C2×C3×D4—41no—
604C2×C3×D4C2×D414yes—
605C2×C3×D4#4114yescomplemented
606C22×C3×C4—22no—
607C22×C3×C4—22no—
608C22×C3×C4—22no—
609C22×C3×C4—22no—
610C22×C3×C4—22no—
611C22×C3×C4—22no—
612C22×C3×C4—22no—
613C22×C3×C4—22no—
614C22×C3×C4—22no—
615C22×C3×C4—22no—
616C22×C3×C4—22no—
617C22×C3×C4—22no—
618C22×C3×C4—41no—
619C22×C3×C4—41no—
620C22×C3×C4—41no—
621C22×C3×C4—41no—
622C22×C3×C4—41no—
623C22×C3×C4—41no—
624C22×C3×C4—41no—
625C22×C3×C4—41no—
626C22×C3×C4—41no—
627C22×C3×C4C2411yescharacteristic
628C22×C3×C4C2411yescharacteristic
629C22×C3×C4C2411yescharacteristic
630C22×C3×C4C2411yescharacteristic
631C22×C3×C4C2411yescharacteristic
632C22×C3×C4C2411yescharacteristic
633C22×C3×C4C2411yescharacteristic
634C22×C3×C4C2411yescharacteristic
635C22×C3×C4C2411yescharacteristic
636C22×C3×C4C2411yescharacteristic
637C22×C3×C4C2411yescharacteristic
638C22×C3×C4C2411yescharacteristic
639C2×#67—22no—
640C2×#67—22no—
641C2×#67—22no—
642C2×#67—22no—
643C2×#67—22no—
644C2×#67—22no—
645C2×#67—22no—
646C2×#67—22no—
647C2×#67—22no—
648C2×#67—22no—
649C2×#67—22no—
650C2×#67—22no—
651C2×#67—22no—
652C2×#67—22no—
653C2×#67—41no—
654C2×#67—41no—
655C2×#67—41no—
656C2×#67—41no—
657C2×#67—41no—
658C2×#67C2×D414yes—
659C2×#67C2×D414yes—
660C22×Dic3—22no—
661C22×Dic3—22no—
662C22×Dic3—22no—
663C22×Dic3—22no—
664C22×Dic3—22no—
665C22×Dic3—22no—
666C22×Dic3—22no—
667C22×Dic3—22no—
668C22×Dic3—22no—
669C22×Dic3—22no—
670C22×Dic3—22no—
671C22×Dic3—41no—
672C22×Dic3—41no—
673C22×Dic3—41no—
674C22×Dic3C2×D414yes—
675C22×Dic3C2411yescharacteristic
676C22×Dic3C2411yescharacteristic
677C22×Dic3C2411yescharacteristic
678C22×Dic3C2411yescharacteristic
679C22×Dic3C2411yescharacteristic
680C22×Dic3C2411yescharacteristic
681C22×Dic3C2411yescharacteristic
682C22×Dic3C2411yescharacteristic
683C22×Dic3C2411yescharacteristic
684C22×Dic3C2411yescharacteristic
685C22×Dic3C2411yescharacteristic
686C22×Dic3C2411yescharacteristic
687C22×Dic3C2411yescharacteristic
688#237—416no—
689#235—416no—
690C2×D12—22no—
691C2×D12—22no—
692C2×D12—22no—
693C2×D12—22no—
694C2×D12—41no—
695C2×D12—41no—
696C2×C4×D3—22no—
697C2×C4×D3—22no—
698C2×C4×D3—22no—
699C2×C4×D3—22no—
700C2×C4×D3—22no—
701C2×C4×D3—22no—
702C2×C4×D3—22no—
703C2×C4×D3—22no—
704C2×C4×D3—22no—
705C2×C4×D3—22no—
706C2×C4×D3—22no—
707C2×C4×D3—22no—
708C2×C4×D3—22no—
709C2×C4×D3—416no—
710C2×C4×D3—41no—
711C2×C4×D3—41no—
712C2×C4×D3—41no—
713C2×C4×D3—41no—
714C2×C4×D3—41no—
715C2×C4×D3—41no—
716C2×C4×D3—41no—
717C2×C4×D3#4114yescomplemented
718C2×Dic6—22no—
719C2×Dic6—22no—
720C2×Dic6—22no—
721C2×Dic6—22no—
722C2×Dic6—22no—
723C2×Dic6—41no—
724C3×C4⋊C4—22no—
725C3×C4⋊C4—41no—
726C3×C22⋊C4—22no—
727C3×C22⋊C4—22no—
728C3×C22⋊C4—22no—
729C3×C22⋊C4—22no—
730C3×C22⋊C4—41no—
731C3×C22⋊C4—41no—
732C3×C22⋊C4—41no—
733C3×C22⋊C4—41no—
734C3×C42—22no—
735C3×C42—41no—
736#217—22no—
737#217—22no—
738#217—22no—
739#217—22no—
740#217—22no—
741#217—22no—
742#217—41no—
743#217—41no—
744#217—41no—
745#217—41no—
746#217C2×D414yes—
747(C2×D3)⋊C4—22no—
748(C2×D3)⋊C4—22no—
749(C2×D3)⋊C4—22no—
750(C2×D3)⋊C4—22no—
751(C2×D3)⋊C4—22no—
752(C2×D3)⋊C4—22no—
753(C2×D3)⋊C4—22no—
754(C2×D3)⋊C4—22no—
755(C2×D3)⋊C4—22no—
756(C2×D3)⋊C4—22no—
757(C2×D3)⋊C4—22no—
758(C2×D3)⋊C4—41no—
759(C2×D3)⋊C4—41no—
760(C2×D3)⋊C4—41no—
761(C2×D3)⋊C4—41no—
762(C2×D3)⋊C4—41no—
763(C2×D3)⋊C4—41no—
764(C2×D3)⋊C4—41no—
765(C2×D3)⋊C4—41no—
766(C2×D3)⋊C4—41no—
767(C2×D3)⋊C4—41no—
768(C2×D3)⋊C4—41no—
769(C2×D3)⋊C4—41no—
770(C2×D3)⋊C4—41no—
771(C2×D3)⋊C4C2×D414yes—
772C4⋊Dic3—22no—
773C4⋊Dic3—22no—
774C4⋊Dic3—41no—
775C4⋊Dic3—41no—
776Dic3⋊C4—22no—
777Dic3⋊C4—22no—
778Dic3⋊C4—22no—
779Dic3⋊C4—22no—
780Dic3⋊C4—22no—
781Dic3⋊C4—22no—
782Dic3⋊C4—22no—
783Dic3⋊C4—22no—
784Dic3⋊C4—22no—
785Dic3⋊C4—22no—
786Dic3⋊C4—22no—
787Dic3⋊C4—22no—
788Dic3⋊C4—22no—
789Dic3⋊C4—22no—
790Dic3⋊C4—41no—
791Dic3⋊C4—41no—
792Dic3⋊C4—41no—
793Dic3⋊C4—41no—
794Dic3⋊C4—41no—
795Dic3⋊C4—41no—
796Dic3⋊C4C2×D414yes—
797C4×Dic3—22no—
798C4×Dic3—22no—
799C4×Dic3—22no—
800C4×Dic3—22no—
801C4×Dic3—41no—
802C25—31no—
803C2×#41—24no—
804C2×#41—24no—
805C2×#41—42no—
806C2×#41—64no—
807C2×#41—64no—
808C2×#41—64no—
809C2×#41—64no—
810C2×#41—122no—
811C2×#41—122no—
812C22×Q8—31no—
813C22×Q8—31no—
814C22×Q8C22×D311yescharacteristic
815C22×D4—31no—
816C22×D4—31no—
817C22×D4—31no—
818C22×D4—31no—
819C22×D4—31no—
820C22×D4—31no—
821C22×D4—31no—
822C22×D4—31no—
823C22×D4—31no—
824C22×D4C22×D311yescharacteristic
825C22×D4C22×D311yescharacteristic
826C22×D4C22×D311yescharacteristic
827C23×C4—31no—
828C23×C4—31no—
829C23×C4—31no—
830C23×C4—31no—
831C23×C4—31no—
832C23×C4—31no—
833C23×C4—31no—
834C23×C4—31no—
835C23×C4—31no—
836C23×C4—31no—
837C23×C4—31no—
838C23×C4—31no—
839C23×C4—64no—
840C23×C4—64no—
841C23×C4—122no—
842C23×C4C22×D311yescharacteristic
843C23×C4C22×D311yescharacteristic
844C23×C4C22×D311yescharacteristic
845C23×C4C22×D311yescharacteristic
846C23×C4C22×D311yescharacteristic
847C23×C4C22×D311yescharacteristic
848C23×C4C22×D311yescharacteristic
849C4⋊Q8—64no—
850#123—64no—
851#123—64no—
852#123—64no—
853#123—64no—
854#123—64no—
855#123—64no—
856C22⋊Q8—64no—
857C22⋊Q8—64no—
858C22⋊Q8—64no—
859C22⋊Q8—64no—
860C22⋊Q8—122no—
861#121—38no—
862#121—64no—
863#121—64no—
864#120—64no—
865#120—64no—
866#120—64no—
867C4×D4—24no—
868C4×D4—42no—
869C4×D4—64no—
870C4×D4—64no—
871C4×D4—64no—
872C4×D4—64no—
873C4×D4—64no—
874C4×D4—64no—
875C4×D4—122no—
876C4×D4—122no—
877C4×D4—122no—
878#117—64no—
879C2×C4⋊C4—31no—
880C2×C4⋊C4—31no—
881C2×C4⋊C4—31no—
882C2×C4⋊C4—31no—
883C2×C4⋊C4—31no—
884C2×C4⋊C4—31no—
885C2×C4⋊C4—31no—
886C2×C4⋊C4—31no—
887C2×C4⋊C4—31no—
888C2×C4⋊C4—31no—
889C2×C4⋊C4—31no—
890C2×C4⋊C4—31no—
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—64no—
905C2×C4⋊C4—64no—
906C2×C4⋊C4—122no—
907C2×C4⋊C4C22×D311yescharacteristic
908C2×C4⋊C4C22×D311yescharacteristic
909C2×C22⋊C4—31no—
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—122no—
946C2×C22⋊C4—122no—
947C2×C22⋊C4C22×D311yescharacteristic
948C2×C22⋊C4C22×D311yescharacteristic
949C2×C22⋊C4C22×D311yescharacteristic
950C2×C22⋊C4C22×D311yescharacteristic
951C2×C22⋊C4C22×D311yescharacteristic
952C2×C22⋊C4C22×D311yescharacteristic
953C2×C22⋊C4C22×D311yescharacteristic
954C2×C22⋊C4C22×D311yescharacteristic
955C2×C42—31no—
956C2×C42—31no—
957C2×C42—31no—
958C2×C42—31no—
959C2×C42—31no—
960C2×C42C22×D311yescharacteristic
961C2×C42C22×D311yescharacteristic
962#95—31no—
963#95—31no—
964#95—31no—
965#95—31no—
966#95—31no—
967#95—31no—
968#95—31no—
969#95—31no—
970#95—31no—
971#95—31no—
972#95—31no—
973#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#95C22×D311yescharacteristic
993#95C22×D311yescharacteristic
994#95C22×D311yescharacteristic
995#95C22×D311yescharacteristic
996#95C22×D311yescharacteristic
997#95C22×D311yescharacteristic
998#95C22×D311yescharacteristic
999#95C22×D311yescharacteristic
1000#95C22×D311yescharacteristic
1001#95C22×D311yescharacteristic
1002#95C22×D311yescharacteristic
1003#95C22×D311yescharacteristic
1004C23×C3—21no—
1005C23×C3—21no—
1006C23×C3—21no—
1007C23×C3—21no—
1008C23×C3—21no—
1009C23×C3—21no—
1010C23×C3—21no—
1011C23×C3—21no—
1012C23×C3—21no—
1013C23×C3—21no—
1014C23×C3—21no—
1015C23×C3—21no—
1016C23×C3—21no—
1017C23×C3—21no—
1018C23×C3—21no—
1019C23×C3—21no—
1020C23×C3C22×D412yes—
1021C23×C3C22×D412yes—
1022C23×C3C2×#4112yes—
1023C23×C3C2×#4112yes—
1024C23×C3H(5,𝔽2)12yes—
1025C23×C3C2511yescharacteristic
1026C22×D3—28no—
1027C22×D3—21no—
1028C22×D3—21no—
1029C22×D3—21no—
1030C22×D3—21no—
1031C22×D3—21no—
1032C22×D3—21no—
1033C22×D3—21no—
1034C22×D3—21no—
1035C22×D3—21no—
1036C22×D3—21no—
1037C22×D3—21no—
1038C22×D3—21no—
1039C22×D3—21no—
1040C22×D3—21no—
1041C22×D3—21no—
1042C22×D3—21no—
1043C22×D3—21no—
1044C22×D3—21no—
1045C22×D3—44no—
1046C22×D3—44no—
1047C22×D3—44no—
1048C22×D3—44no—
1049C22×D3—44no—
1050C22×D3—44no—
1051C22×D3C22×D412yes—
1052C22×D3C2×#4112yes—
1053C22×D32−1+412yes—
1054C3×Q8—44no—
1055C3×D4—28no—
1056C3×D4—28no—
1057C3×D4—44no—
1058C2×C3×C4—21no—
1059C2×C3×C4—21no—
1060C2×C3×C4—21no—
1061C2×C3×C4—21no—
1062C2×C3×C4—21no—
1063C2×C3×C4—21no—
1064C2×C3×C4—21no—
1065C2×C3×C4—21no—
1066C2×C3×C4—21no—
1067C2×C3×C4—21no—
1068C2×C3×C4—21no—
1069C2×C3×C4—21no—
1070C2×C3×C4—21no—
1071C2×C3×C4—21no—
1072C2×C3×C4—21no—
1073C2×C3×C4—21no—
1074C2×C3×C4—21no—
1075C2×C3×C4—21no—
1076C2×C3×C4—21no—
1077C2×C3×C4—21no—
1078C2×C3×C4—21no—
1079C2×C3×C4—21no—
1080C2×C3×C4—21no—
1081C2×C3×C4—21no—
1082C2×C3×C4—21no—
1083C2×C3×C4—21no—
1084C2×C3×C4—21no—
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—44no—
1092C2×C3×C4—44no—
1093C2×C3×C4—44no—
1094C2×C3×C4—44no—
1095C2×C3×C4—44no—
1096C2×C3×C4—82no—
1097C2×C3×C4—82no—
1098C2×C3×C4C22×D412yes—
1099C2×C3×C4C2×#4112yes—
1100C2×C3×C4C2×#4112yes—
1101#67—28no—
1102#67—28no—
1103#67—44no—
1104#67—44no—
1105#67—44no—
1106#67—44no—
1107#67—44no—
1108C2×Dic3—21no—
1109C2×Dic3—21no—
1110C2×Dic3—21no—
1111C2×Dic3—21no—
1112C2×Dic3—28no—
1113C2×Dic3—21no—
1114C2×Dic3—21no—
1115C2×Dic3—21no—
1116C2×Dic3—21no—
1117C2×Dic3—21no—
1118C2×Dic3—21no—
1119C2×Dic3—21no—
1120C2×Dic3—21no—
1121C2×Dic3—21no—
1122C2×Dic3—21no—
1123C2×Dic3—21no—
1124C2×Dic3—21no—
1125C2×Dic3—21no—
1126C2×Dic3—21no—
1127C2×Dic3—21no—
1128C2×Dic3—21no—
1129C2×Dic3—21no—
1130C2×Dic3—21no—
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—44no—
1144C2×Dic3—44no—
1145C2×Dic3—44no—
1146C2×Dic3—82no—
1147C2×Dic3C22×D412yes—
1148C2×Dic3C22×D412yes—
1149C2×Dic3C22×D412yes—
1150C2×Dic3C2×#4112yes—
1151C2×Dic3H(5,𝔽2)12yes—
1152D12—44no—
1153D12—44no—
1154C4×D3—28no—
1155C4×D3—44no—
1156C4×D3—44no—
1157C4×D3—44no—
1158C4×D3—44no—
1159C4×D3—44no—
1160C4×D3—82no—
1161Dic6—44no—
1162Dic6—44no—
1163C24—31no—
1164C24—31no—
1165C24—31no—
1166C24—62no—
1167C24—62no—
1168C24—62no—
1169C24—62no—
1170C24—62no—
1171C24—121no—
1172C24—121no—
1173C24C23×D311yescharacteristic
1174C24C23×D311yescharacteristic
1175C24C23×D311yescharacteristic
1176#41—416no—
1177#41—1216no—
1178#41—1216no—
1179C2×Q8—22no—
1180C2×Q8—22no—
1181C2×Q8—41no—
1182C2×Q8—62no—
1183C2×Q8—62no—
1184C2×Q8—62no—
1185C2×Q8—62no—
1186C2×Q8—62no—
1187C2×Q8—121no—
1188C2×D4—22no—
1189C2×D4—22no—
1190C2×D4—22no—
1191C2×D4—22no—
1192C2×D4—22no—
1193C2×D4—22no—
1194C2×D4—34no—
1195C2×D4—34no—
1196C2×D4—41no—
1197C2×D4—62no—
1198C2×D4—62no—
1199C2×D4—62no—
1200C2×D4—62no—
1201C2×D4—62no—
1202C2×D4—62no—
1203C2×D4—62no—
1204C2×D4—62no—
1205C2×D4—62no—
1206C2×D4—62no—
1207C2×D4—62no—
1208C2×D4—62no—
1209C2×D4—62no—
1210C2×D4—62no—
1211C2×D4—62no—
1212C2×D4—62no—
1213C2×D4—62no—
1214C2×D4—62no—
1215C2×D4—121no—
1216C2×D4—121no—
1217C2×D4—121no—
1218C2×D4—121no—
1219C2×D4—121no—
1220C2×D4—121no—
1221C2×D4—121no—
1222C2×D4#23514yescomplemented
1223C2×D4D3×D414yes—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—31no—
1237C22×C4—34no—
1238C22×C4—31no—
1239C22×C4—31no—
1240C22×C4—34no—
1241C22×C4—31no—
1242C22×C4—31no—
1243C22×C4—31no—
1244C22×C4—31no—
1245C22×C4—31no—
1246C22×C4—31no—
1247C22×C4—31no—
1248C22×C4—31no—
1249C22×C4—31no—
1250C22×C4—31no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—41no—
1258C22×C4—41no—
1259C22×C4—41no—
1260C22×C4—62no—
1261C22×C4—62no—
1262C22×C4—62no—
1263C22×C4—62no—
1264C22×C4—62no—
1265C22×C4—62no—
1266C22×C4—62no—
1267C22×C4—62no—
1268C22×C4—62no—
1269C22×C4—62no—
1270C22×C4—62no—
1271C22×C4—62no—
1272C22×C4—62no—
1273C22×C4—62no—
1274C22×C4—62no—
1275C22×C4—62no—
1276C22×C4—62no—
1277C22×C4—62no—
1278C22×C4—62no—
1279C22×C4—62no—
1280C22×C4—62no—
1281C22×C4—62no—
1282C22×C4—62no—
1283C22×C4—62no—
1284C22×C4—121no—
1285C22×C4—121no—
1286C22×C4—121no—
1287C22×C4—121no—
1288C22×C4—121no—
1289C22×C4—121no—
1290C22×C4—121no—
1291C22×C4—1216no—
1292C22×C4—121no—
1293C22×C4—121no—
1294C22×C4—121no—
1295C22×C4C23×D311yescharacteristic
1296C22×C4C23×D311yescharacteristic
1297C22×C4C23×D311yescharacteristic
1298C22×C4C23×D311yescharacteristic
1299C22×C4C23×D311yescharacteristic
1300C22×C4C23×D311yescharacteristic
1301C22×C4C23×D311yescharacteristic
1302C22×C4C23×D311yescharacteristic
1303C22×C4C23×D311yescharacteristic
1304C22×C4C23×D311yescharacteristic
1305C22×C4C23×D311yescharacteristic
1306C22×C4C23×D311yescharacteristic
1307C4⋊C4—22no—
1308C4⋊C4—34no—
1309C4⋊C4—41no—
1310C4⋊C4—62no—
1311C4⋊C4—62no—
1312C4⋊C4—62no—
1313C4⋊C4—62no—
1314C4⋊C4—62no—
1315C4⋊C4—62no—
1316C4⋊C4—62no—
1317C4⋊C4—62no—
1318C4⋊C4—62no—
1319C4⋊C4—62no—
1320C4⋊C4—62no—
1321C4⋊C4—62no—
1322C4⋊C4—62no—
1323C4⋊C4—62no—
1324C4⋊C4—62no—
1325C4⋊C4—62no—
1326C4⋊C4—121no—
1327C4⋊C4—121no—
1328C4⋊C4—121no—
1329C4⋊C4—121no—
1330C4⋊C4—121no—
1331C4⋊C4—121no—
1332C4⋊C4—121no—
1333C4⋊C4—121no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—34no—
1339C22⋊C4—34no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C22⋊C4—62no—
1345C22⋊C4—62no—
1346C22⋊C4—62no—
1347C22⋊C4—62no—
1348C22⋊C4—62no—
1349C22⋊C4—62no—
1350C22⋊C4—62no—
1351C22⋊C4—62no—
1352C22⋊C4—62no—
1353C22⋊C4—62no—
1354C22⋊C4—62no—
1355C22⋊C4—62no—
1356C22⋊C4—62no—
1357C22⋊C4—62no—
1358C22⋊C4—62no—
1359C22⋊C4—62no—
1360C22⋊C4—62no—
1361C22⋊C4—121no—
1362C22⋊C4—121no—
1363C22⋊C4—121no—
1364C22⋊C4—121no—
1365C22⋊C4—121no—
1366C22⋊C4—121no—
1367C22⋊C4—121no—
1368C22⋊C4—121no—
1369C22⋊C4—121no—
1370C22⋊C4—121no—
1371C22⋊C4—121no—
1372C22⋊C4—121no—
1373C22⋊C4—121no—
1374C22⋊C4—121no—
1375C22⋊C4—121no—
1376C22⋊C4—121no—
1377C22⋊C4—121no—
1378C42—22no—
1379C42—41no—
1380C42—62no—
1381C42—62no—
1382C42—62no—
1383C42—62no—
1384C42—121no—
1385C22×C3—22no—
1386C22×C3—22no—
1387C22×C3—22no—
1388C22×C3—22no—
1389C22×C3—22no—
1390C22×C3—22no—
1391C22×C3—22no—
1392C22×C3—22no—
1393C22×C3—22no—
1394C22×C3—22no—
1395C22×C3—22no—
1396C22×C3—22no—
1397C22×C3—41no—
1398C22×C3—41no—
1399C22×C3—41no—
1400C22×C3—41no—
1401C22×C3—41no—
1402C22×C3—41no—
1403C22×C3—41no—
1404C22×C3—41no—
1405C22×C3#54614yes—
1406C22×C3C23×D411yescharacteristic
1407C22×C3C22×#4111yescharacteristic
1408C22×C3C22×#4111yescharacteristic
1409C22×C3C2×H(5,𝔽2)11yescharacteristic
1410C22×C3C2×H(5,𝔽2)11yescharacteristic
1411C22×C3C2×2−1+411yescharacteristic
1412C22×C3#58511yescharacteristic
1413C2×D3—22no—
1414C2×D3—22no—
1415C2×D3—22no—
1416C2×D3—22no—
1417C2×D3—22no—
1418C2×D3—22no—
1419C2×D3—22no—
1420C2×D3—22no—
1421C2×D3—22no—
1422C2×D3—416no—
1423C2×D3—41no—
1424C2×D3—41no—
1425C2×D3—41no—
1426C2×D3—41no—
1427C2×D3—41no—
1428C2×D3—41no—
1429C2×D3—41no—
1430C2×D3—41no—
1431C2×D3—41no—
1432C2×D3—41no—
1433C2×D3—41no—
1434C2×D3—41no—
1435C3×C4—22no—
1436C3×C4—22no—
1437C3×C4—22no—
1438C3×C4—41no—
1439C3×C4—41no—
1440C3×C4—41no—
1441C3×C4—41no—
1442C3×C4—41no—
1443C3×C4—41no—
1444C3×C4—41no—
1445C3×C4—41no—
1446C3×C4—41no—
1447Dic3—22no—
1448Dic3—22no—
1449Dic3—41no—
1450Dic3—41no—
1451Dic3—41no—
1452Dic3—41no—
1453Dic3—41no—
1454Dic3—41no—
1455Dic3—41no—
1456Dic3—41no—
1457Dic3—41no—
1458Dic3—41no—
1459Dic3#54614yes—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—32no—
1477C23—32no—
1478C23—32no—
1479C23—68no—
1480C23—61no—
1481C23—61no—
1482C23—61no—
1483C23—61no—
1484C23—61no—
1485C23—61no—
1486C23—61no—
1487C23—61no—
1488C23—61no—
1489C23—61no—
1490C23—61no—
1491C23—61no—
1492C23—61no—
1493C23—61no—
1494C23—61no—
1495C23—61no—
1496C23—61no—
1497C23—61no—
1498C23—124no—
1499C23—124no—
1500C23—124no—
1501C23—124no—
1502C23—124no—
1503C23—124no—
1504C23C2×#23512yes—
1505C23C2×#23512yes—
1506C23C2×D3×D412yes—
1507C23C2×D3×D412yes—
1508C23#100412yes—
1509C23C24×D311yescharacteristic
1510Q8—44no—
1511Q8—124no—
1512Q8—124no—
1513D4—28no—
1514D4—28no—
1515D4—44no—
1516D4—68no—
1517D4—68no—
1518D4—124no—
1519D4—124no—
1520D4—124no—
1521D4—124no—
1522D4—124no—
1523D4—124no—
1524D4—124no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—32no—
1559C2×C4—32no—
1560C2×C4—32no—
1561C2×C4—32no—
1562C2×C4—32no—
1563C2×C4—44no—
1564C2×C4—44no—
1565C2×C4—44no—
1566C2×C4—44no—
1567C2×C4—44no—
1568C2×C4—68no—
1569C2×C4—68no—
1570C2×C4—61no—
1571C2×C4—61no—
1572C2×C4—61no—
1573C2×C4—61no—
1574C2×C4—61no—
1575C2×C4—61no—
1576C2×C4—61no—
1577C2×C4—61no—
1578C2×C4—61no—
1579C2×C4—61no—
1580C2×C4—61no—
1581C2×C4—61no—
1582C2×C4—61no—
1583C2×C4—61no—
1584C2×C4—61no—
1585C2×C4—61no—
1586C2×C4—61no—
1587C2×C4—61no—
1588C2×C4—61no—
1589C2×C4—61no—
1590C2×C4—61no—
1591C2×C4—61no—
1592C2×C4—61no—
1593C2×C4—61no—
1594C2×C4—61no—
1595C2×C4—61no—
1596C2×C4—61no—
1597C2×C4—61no—
1598C2×C4—61no—
1599C2×C4—61no—
1600C2×C4—61no—
1601C2×C4—61no—
1602C2×C4—61no—
1603C2×C4—61no—
1604C2×C4—82no—
1605C2×C4—82no—
1606C2×C4—124no—
1607C2×C4—124no—
1608C2×C4—124no—
1609C2×C4—124no—
1610C2×C4—124no—
1611C2×C4—124no—
1612C2×C4—124no—
1613C2×C4—124no—
1614C2×C4—242no—
1615C2×C4—242no—
1616C2×C4C2×#23512yes—
1617C2×C4C2×D3×D412yes—
1618C2×C4D3×#4112yes—
1619C2×C3—24no—
1620C2×C3—42no—
1621C2×C3—42no—
1622C2×C3C2×#54611yescharacteristic
1623C2×C3C2×#54611yescharacteristic
1624C2×C3#347511yescharacteristic
1625C2×C3#348911yescharacteristic
1626C2×C3#349211yescharacteristic
1627C2×C3#352011yescharacteristic
1628C2×C3#354211yescharacteristic
1629D3—42no—
1630D3—42no—
1631D3—42no—
1632C22—22no—
1633C22—22no—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—22no—
1642C22—22no—
1643C22—22no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—62no—
1653C22—62no—
1654C22—62no—
1655C22—62no—
1656C22—62no—
1657C22—62no—
1658C22—62no—
1659C22—62no—
1660C22—62no—
1661C22—1216no—
1662C22—121no—
1663C22—121no—
1664C22—121no—
1665C22—121no—
1666C22—121no—
1667C22—121no—
1668C22—121no—
1669C22—121no—
1670C22—121no—
1671C22—121no—
1672C22—121no—
1673C22—121no—
1674C22#549014yes—
1675C22C22×#23511yescharacteristic
1676C22C22×D3×D411yescharacteristic
1677C22C2×#100411yescharacteristic
1678C22C2×D3×#4111yescharacteristic
1679C22#596411yescharacteristic
1680C22D3×H(5,𝔽2)11yescharacteristic
1681C22D3×2−1+411yescharacteristic
1682C4—22no—
1683C4—22no—
1684C4—22no—
1685C4—34no—
1686C4—41no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—62no—
1696C4—62no—
1697C4—121no—
1698C4—121no—
1699C4—121no—
1700C4—121no—
1701C4—121no—
1702C4—121no—
1703C4—121no—
1704C4—121no—
1705C4—121no—
1706C4—121no—
1707C3#5902311yescharacteristic, complemented, Sylow
1708C2—24no—
1709C2—42no—
1710C2—42no—
1711C2—122no—
1712C2—122no—
1713C2—122no—
1714C2C2×#549011yescharacteristic
1715C2#8584111yescharacteristic
1716C2#8590711yescharacteristic
1717C2#8665011yescharacteristic
1718C2D3×#54611yescharacteristic
1719C2#8667711yescharacteristic
1720C2#8670111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2339C2
hypercenter#2339D3
hypocenterC3#59023
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2339

Complements

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

NH ≅ G/Ntype
1. C2×#5824C2semidirect
2. C2×#5547C2semidirect
3. C3×#2339C2semidirect
4. #84096C2semidirect
5. #82414C2semidirect
6. #82354C2semidirect
7. #82340C2semidirect
8. #76646C2semidirect
9. #76628C2semidirect
10. #76517C2semidirect
11. #76501C2semidirect
12. #74885C2semidirect
13. #74805C2semidirect
14. #74751C2semidirect
15. #74714C2semidirect
16. #74693C2semidirect
17. #74688C2semidirect
18. #74672C2semidirect
19. #74659C2semidirect
20. #74131C2semidirect
21. #74094C2semidirect
22. #74079C2semidirect
23. #74066C2semidirect
24. #74040C2semidirect
25. #73889C2semidirect
26. #73589C2semidirect
27. #73461C2semidirect
28. #73375C2semidirect
29. #73368C2semidirect
30. C2×#4667C2semidirect
31. #73351C2semidirect
40. C2×#946C22semidirect
41. C2×#944C22semidirect
43. C2×#939C22semidirect
47. C2×#935C22semidirect
50. C2×#929C22semidirect
53. C2×C4×#67C22semidirect
54. C2×C4×#67C22semidirect
57. C2×#924C22semidirect
60. C22×Dic3⋊C4C22semidirect
71. C2×#878C22semidirect
74. C3×#391C22semidirect
75. C3×#391C22semidirect
78. C3×#386C22semidirect
79. C3×#386C22semidirect
81. C3×#381C22semidirect
82. C3×#380C22semidirect
83. C3×C4×C22⋊C4C22semidirect
85. C2×C3×#95C22semidirect
101. #5211C22semidirect
103. #5210C22semidirect
104. #5210C22semidirect
108. #4989C22semidirect
109. #4985C22semidirect
110. #4983C22semidirect
111. #4976C22semidirect
118. #4957C22semidirect
121. #4956C22semidirect
122. #4956C22semidirect
124. #4952C22semidirect
125. #4952C22semidirect
126. #4948C22semidirect
127. #4948C22semidirect
128. #4944C22semidirect
132. #4942C22semidirect
133. #4942C22semidirect
135. Dic3×C22⋊C4C22semidirect
138. #4940C22semidirect
139. #4933C22semidirect
140. #4933C22semidirect
141. C4×Dic3⋊C4C22semidirect
144. #4675C22semidirect
145. #4674C22semidirect
154. #4668C22semidirect
169. #4664C22semidirect
170. #4664C22semidirect
171. D3×#95C22semidirect
172. #4661C22semidirect
173. #4660C22semidirect
174. #4660C22semidirect
175. #4658C22semidirect
176. #4658C22semidirect
177. #4658C22semidirect
178. #4657C22semidirect
179. #4657C22semidirect
180. #4654C22semidirect
181. #4652C22semidirect
182. #4650C22semidirect
183. #4650C22semidirect
184. #4647C22semidirect
185. #4646C22semidirect
186. #4646C22semidirect
187. #4646C22semidirect
188. #4646C22semidirect
189. #4646C22semidirect
218. #2339D3semidirect
296. #939D4semidirect
501. #391C2×D3semidirect
502. #391C2×D3semidirect
537. #386C2×D3semidirect
538. #386C2×D3semidirect
555. #381C2×D3semidirect
568. #380C2×D3semidirect
575. C4×C22⋊C4C2×D3semidirect
579. C2×#95C2×D3semidirect
605. C2×C3×D4#41semidirect
717. C2×C4×D3#41semidirect
1222. C2×D4#235semidirect
1707. C3#59023semidirect

Maximal subgroups

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

subgroupindex
C2×#58242
C2×#55472
C3×#23392
#840962
#824142
#823542
#823402
#766462
#766282
#765172
#765012
#748852
#748052
#747512
#747142
#746932
#746882
#746722
#746592
#741312
#740942
#740792
#740662
#740402
#738892
#735892
#734612
#733752
#733682
C2×#46672
#733512
#590233