Finite Group Databasebeta

← #11044348

Subgroups — #11044348

Order 768.

2834 conjugacy classes of subgroups.

The subgroup lattice has 1846 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5806C211yesmaximal, characteristic, complemented
2C2×#5658C211yesmaximal, characteristic, complemented
3C3×#2405C211yesmaximal, characteristic, complemented
4#84052C211yesmaximal, characteristic, complemented
5#82901C211yesmaximal, characteristic, complemented
6#82843C211yesmaximal, characteristic, complemented
7#82841C211yesmaximal, characteristic, complemented
8#82106C211yesmaximal, characteristic, complemented
9C2×#4957C211yesmaximal, characteristic, complemented
10#77037C211yesmaximal, characteristic, complemented
11#77030C211yesmaximal, characteristic, complemented
12#77026C211yesmaximal, characteristic, complemented
13#77003C211yesmaximal, characteristic, complemented
14#76997C211yesmaximal, characteristic, complemented
15#76994C211yesmaximal, characteristic, complemented
16#76969C211yesmaximal, characteristic, complemented
17#76896C211yesmaximal, characteristic, complemented
18#74885C211yesmaximal, characteristic, complemented
19#74869C211yesmaximal, characteristic, complemented
20#74690C211yesmaximal, characteristic, complemented
21#74657C211yesmaximal, characteristic, complemented
22#74537C211yesmaximal, characteristic, complemented
23#74516C211yesmaximal, characteristic, complemented
24#74499C211yesmaximal, characteristic, complemented
25#74385C211yesmaximal, characteristic, complemented
26#73858C211yesmaximal, characteristic, complemented
27#73854C211yesmaximal, characteristic, complemented
28#73837C211yesmaximal, characteristic, complemented
29#73835C211yesmaximal, characteristic, complemented
30#73825C211yesmaximal, characteristic, complemented
31#73821C211yesmaximal, characteristic, complemented
32#38420—31nomaximal, Sylow
33C23×C3×D4C2211yescharacteristic
34C23×#67C2211yescharacteristic
35C22×#237C2211yescharacteristic
36C2×C3×#123C2211yescharacteristic
37C2×C3×#123C2211yescharacteristic
38C22×C3×C22⋊C4C2211yescharacteristic
39C2×#953C2211yescharacteristic
40C2×#953C2211yescharacteristic
41C2×#953C2211yescharacteristic
42C2×#953C2211yescharacteristic, complemented
43C22×#217C2211yescharacteristic
44C22×#217C2211yescharacteristic, complemented
45#5806—28no—
46C2×#939C2211yescharacteristic
47C2×#939C2211yescharacteristic, complemented
48C2×#938C2211yescharacteristic, complemented
49C2×#937C2211yescharacteristic
50C2×#937C2211yescharacteristic
51C2×#936C2211yescharacteristic, complemented
52C2×#935C2211yescharacteristic
53C2×#935C2211yescharacteristic, complemented
54C2×D4×Dic3C2211yescharacteristic
55C2×#929C2211yescharacteristic, complemented
56C2×C4×#67C2211yescharacteristic, complemented
57C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
58C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
59C2×#926C2211yescharacteristic, complemented
60C2×#924C2211yescharacteristic, complemented
61C22×Dic3⋊C4C2211yescharacteristic, complemented
62C22×C4×Dic3C2211yescharacteristic, complemented
63#5658—28no—
64C2×#898C2211yescharacteristic, complemented
65C2×#898C2211yescharacteristic, complemented
66C2×#897C2211yescharacteristic, complemented
67C2×#892C2211yescharacteristic, complemented
68C2×#886C2211yescharacteristic, complemented
69C2×#885C2211yescharacteristic, complemented
70C2×#885C2211yescharacteristic, complemented
71C2×#884C2211yescharacteristic
72C2×#884C2211yescharacteristic, complemented
73C2×#883C2211yescharacteristic, complemented
74C2×#882C2211yescharacteristic, complemented
75C2×#67⋊C4C2211yescharacteristic, complemented
76C2×D3×C22⋊C4C2211yescharacteristic, complemented
77C2×#878C2211yescharacteristic, complemented
78C2×#877C2211yescharacteristic, complemented
79C3×#394C2211yescharacteristic, complemented
80C3×#394C2211yescharacteristic, complemented
81C3×#394C2211yescharacteristic, complemented
82C3×#394C2211yescharacteristic, complemented
83C3×#386C2211yescharacteristic
84C3×#386C2211yescharacteristic
85C3×#385C2211yescharacteristic, complemented
86C3×#385C2211yescharacteristic, complemented
87C3×#379C2211yescharacteristic
88C3×#379C2211yescharacteristic, complemented
89C3×#379C2211yescharacteristic, complemented
90#5247C2211yescharacteristic
91#5223C2211yescharacteristic
92#5223C2211yescharacteristic
93#5223C2211yescharacteristic
94#5223C2211yescharacteristic
95#5220C2211yescharacteristic
96#5220C2211yescharacteristic
97#5213C2211yescharacteristic
98#5213C2211yescharacteristic
99#5213C2211yescharacteristic, complemented
100#5210C2211yescharacteristic, complemented
101#4993C2211yescharacteristic, complemented
102#4993C2211yescharacteristic, complemented
103#4989C2211yescharacteristic, complemented
104#4989C2211yescharacteristic, complemented
105#4988C2211yescharacteristic, complemented
106#4988C2211yescharacteristic, complemented
107#4982C2211yescharacteristic, complemented
108#4982C2211yescharacteristic, complemented
109#4979C2211yescharacteristic, complemented
110#4979C2211yescharacteristic, complemented
111#4976C2211yescharacteristic, complemented
112#4976C2211yescharacteristic, complemented
113#4961C2211yescharacteristic, complemented
114#4961C2211yescharacteristic, complemented
115#4960C2211yescharacteristic
116#4960C2211yescharacteristic, complemented
117#4960C2211yescharacteristic, complemented
118#4960C2211yescharacteristic, complemented
119#4960C2211yescharacteristic, complemented
120#4960C2211yescharacteristic, complemented
121#4959C2211yescharacteristic
122#4959C2211yescharacteristic, complemented
123#4959C2211yescharacteristic, complemented
124#4959C2211yescharacteristic, complemented
125#4959C2211yescharacteristic, complemented
126#4959C2211yescharacteristic, complemented
127#4958C2211yescharacteristic, complemented
128#4958C2211yescharacteristic, complemented
129#4958C2211yescharacteristic, complemented
130#4957C2211yescharacteristic
131#4957C2211yescharacteristic
132#4957C2211yescharacteristic
133#4957C2211yescharacteristic
134#4957C2211yescharacteristic, complemented
135#4957C2211yescharacteristic, complemented
136#4957C2211yescharacteristic, complemented
137#4957C2211yescharacteristic, complemented
138#4957C2211yescharacteristic, complemented
139#4957C2211yescharacteristic, complemented
140#4957C2211yescharacteristic, complemented
141#4957C2211yescharacteristic, complemented
142#4957C2211yescharacteristic, complemented
143#4956C2211yescharacteristic
144#4956C2211yescharacteristic, complemented
145#4956C2211yescharacteristic, complemented
146#4956C2211yescharacteristic, complemented
147#4952C2211yescharacteristic, complemented
148#4952C2211yescharacteristic, complemented
149#4951C2211yescharacteristic, complemented
150#4951C2211yescharacteristic, complemented
151#4951C2211yescharacteristic, complemented
152#4948C2211yescharacteristic, complemented
153#4948C2211yescharacteristic, complemented
154#4948C2211yescharacteristic, complemented
155#4948C2211yescharacteristic, complemented
156#4947C2211yescharacteristic, complemented
157#4947C2211yescharacteristic, complemented
158#4946C2211yescharacteristic, complemented
159#4946C2211yescharacteristic, complemented
160#4946C2211yescharacteristic, complemented
161#4945C2211yescharacteristic, complemented
162#4945C2211yescharacteristic, complemented
163#4945C2211yescharacteristic, complemented
164#4945C2211yescharacteristic, complemented
165#4945C2211yescharacteristic, complemented
166#4944C2211yescharacteristic, complemented
167#4944C2211yescharacteristic, complemented
168#4944C2211yescharacteristic, complemented
169#4944C2211yescharacteristic, complemented
170#4943C2211yescharacteristic, complemented
171#4943C2211yescharacteristic, complemented
172Dic3×C22⋊C4C2211yescharacteristic, complemented
173Dic3×C22⋊C4C2211yescharacteristic, complemented
174#4675C2211yescharacteristic, complemented
175#4675C2211yescharacteristic, complemented
176#4673C2211yescharacteristic, complemented
177#4673C2211yescharacteristic, complemented
178#4670C2211yescharacteristic, complemented
179#4669C2211yescharacteristic, complemented
180#4667C2211yescharacteristic, complemented
181#4667C2211yescharacteristic, complemented
182#4665C2211yescharacteristic, complemented
183#4665C2211yescharacteristic, complemented
184#4654C2211yescharacteristic, complemented
185#4653C2211yescharacteristic, complemented
186#4650C2211yescharacteristic, complemented
187#4649C2211yescharacteristic, complemented
188#4648C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#551—31no—
191C2×#546—31no—
192#2850—31no—
193#2723—31no—
194#2714—31no—
195#2710—31no—
196#2706—31no—
197#2692—31no—
198#2678—31no—
199#2676—31no—
200#2670—31no—
201#2662—31no—
202#2661—31no—
203#2610—31no—
204#2603—31no—
205#2561—31no—
206#2539—31no—
207#2414—31no—
208#2413—31no—
209#2412—31no—
210#2411—31no—
211#2411—31no—
212#2410—31no—
213#2406—31no—
214#2405D311yescharacteristic, complemented
215#2404—31no—
216#2403—31no—
217#2324—31no—
218#2321—31no—
219C2×#390—31no—
220#2290—31no—
221C25×C3C2311yescharacteristic
222C25×C3C2311yescharacteristic
223C24×D3C2311yescharacteristic
224C22×C3×D4—24no—
225C22×C3×D4—42no—
226C22×C3×D4—42no—
227C22×C3×D4C2311yescharacteristic
228C22×C3×D4C2311yescharacteristic
229C22×C3×D4C2311yescharacteristic
230C22×C3×D4C2311yescharacteristic
231C23×C3×C4C2311yescharacteristic
232C23×C3×C4C2311yescharacteristic
233C23×C3×C4C2311yescharacteristic
234C22×#67—24no—
235C22×#67—42no—
236C22×#67—42no—
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C22×#67C2311yescharacteristic
242C22×#67C2311yescharacteristic
243C22×#67C2311yescharacteristic
244C22×#67C2311yescharacteristic
245C22×#67C2311yescharacteristic
246C22×#67C2311yescharacteristic
247C22×#67C2311yescharacteristic
248C22×#67C2311yescharacteristic
249C22×#67C2311yescharacteristic
250C23×Dic3C2311yescharacteristic
251C23×Dic3C2311yescharacteristic
252C23×Dic3C2311yescharacteristic
253C23×Dic3C2311yescharacteristic
254C23×Dic3C2311yescharacteristic
255C2×#237—24no—
256C2×#237—42no—
257C2×#237—42no—
258C22×D12C2311yescharacteristic
259C22×D12C2311yescharacteristic
260C22×C4×D3C2311yescharacteristic
261C22×C4×D3C2311yescharacteristic
262C22×C4×D3C2311yescharacteristic
263C22×Dic6C2311yescharacteristic
264C22×Dic6C2311yescharacteristic
265C3×#123—24no—
266C3×#123—42no—
267C2×C3×C4⋊C4C2311yescharacteristic
268C2×C3×C4⋊C4C2311yescharacteristic
269C2×C3×C4⋊C4C2311yescharacteristic
270C2×C3×C4⋊C4C2311yescharacteristic
271C2×C3×C22⋊C4—42no—
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×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×C3×C22⋊C4C2311yescharacteristic
290#953—24no—
291#953—24no—
292#953—24no—
293#953—42no—
294C2×#217—24no—
295C2×#217—24no—
296C2×#217C2311yescharacteristic
297C2×#217C2311yescharacteristic
298C2×#217C2311yescharacteristic
299C2×#217C2311yescharacteristic
300C2×#217C2311yescharacteristic
301C2×#217C2311yescharacteristic
302C2×#217C2311yescharacteristic
303C2×#217C2311yescharacteristic
304C2×#217C2311yescharacteristic
305C2×#217C2311yescharacteristic
306C2×#217C2311yescharacteristic
307C2×#217C2311yescharacteristic
308C2×#217C2311yescharacteristic
309C2×#217C2311yescharacteristic
310C2×#217C2311yescharacteristic
311C2×#217C2311yescharacteristic
312C2×#217C2311yescharacteristic
313C2×#217C2311yescharacteristic
314C2×#217C2311yescharacteristic
315C2×#217C2311yescharacteristic
316C2×#217C2311yescharacteristic
317#939—24no—
318#939—24no—
319#938—24no—
320#937—24no—
321#937—42no—
322#936—24no—
323#935—24no—
324#935—24no—
325D4×Dic3D418yescomplemented
326#929—42no—
327C4×#67—24no—
328C2×(C2×D3)⋊C4—24no—
329C2×(C2×D3)⋊C4—42no—
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×(C2×D3)⋊C4C2311yescharacteristic
350C2×(C2×D3)⋊C4C2311yescharacteristic
351C2×(C2×D3)⋊C4C2311yescharacteristic
352C2×(C2×D3)⋊C4C2311yescharacteristic
353#926—24no—
354C2×C4⋊Dic3C2311yescharacteristic
355C2×C4⋊Dic3C2311yescharacteristic
356C2×C4⋊Dic3C2311yescharacteristic
357C2×C4⋊Dic3C2311yescharacteristic
358#924—24no—
359C2×Dic3⋊C4—42no—
360C2×Dic3⋊C4C2311yescharacteristic
361C2×Dic3⋊C4C2311yescharacteristic
362C2×Dic3⋊C4C2311yescharacteristic
363C2×Dic3⋊C4C2311yescharacteristic
364C2×Dic3⋊C4C2311yescharacteristic
365C2×Dic3⋊C4C2311yescharacteristic
366C2×Dic3⋊C4C2311yescharacteristic
367C2×Dic3⋊C4C2311yescharacteristic
368C2×Dic3⋊C4C2311yescharacteristic
369C2×Dic3⋊C4C2311yescharacteristic
370C2×Dic3⋊C4C2311yescharacteristic
371C2×Dic3⋊C4C2311yescharacteristic
372C2×Dic3⋊C4C2311yescharacteristic
373C2×Dic3⋊C4C2311yescharacteristic
374C2×Dic3⋊C4C2311yescharacteristic
375C2×C4×Dic3—42no—
376C2×C4×Dic3C2311yescharacteristic
377C2×C4×Dic3C2311yescharacteristic
378C2×C4×Dic3C2311yescharacteristic
379C2×C4×Dic3C2311yescharacteristic
380C2×C4×Dic3C2311yescharacteristic
381C2×C4×Dic3C2311yescharacteristic
382C2×C4×Dic3C2311yescharacteristic
383C2×C4×Dic3C2311yescharacteristic
384C2×C4×Dic3C2311yescharacteristic
385#898—24no—
386#898—24no—
387#897—24no—
388#892—24no—
389#886—24no—
390#885—24no—
391#885—42no—
392#884—24no—
393#884—42no—
394#883—24no—
395#882—42no—
396#67⋊C4—24no—
397D3×C22⋊C4—24no—
398#878—24no—
399#877—42no—
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
423C3⋊#95C2311yescharacteristic
424C3⋊#95C2311yescharacteristic
425C3⋊#95C2311yescharacteristic
426C22×#41—31no—
427C23×D4—31no—
428C23×D4C2×D311yescharacteristic
429#551—68no—
430#546—68no—
431C2×#126—31no—
432C2×#126—31no—
433C2×#124—31no—
434C2×#124—31no—
435C2×#124—31no—
436C2×#123—31no—
437C2×#123—31no—
438C2×#123—31no—
439C2×#123—31no—
440C2×#123—31no—
441C2×#123C2×D311yescharacteristic
442C2×#123C2×D311yescharacteristic
443C2×C22⋊Q8—31no—
444C2×C22⋊Q8—31no—
445C2×C22⋊Q8—31no—
446C2×#121—31no—
447C2×#121—31no—
448C2×#121—31no—
449C2×#121—31no—
450C2×#121—31no—
451C2×#120—31no—
452C2×#120—31no—
453C2×#120—31no—
454C2×#120—31no—
455C2×#120—31no—
456C2×#120—31no—
457C2×#120—31no—
458C2×C4×D4—31no—
459C2×C4×D4—31no—
460C2×C4×D4—31no—
461C2×#117—31no—
462C2×#117—31no—
463C2×#117—31no—
464C22×C4⋊C4—31no—
465C22×C22⋊C4—31no—
466C22×C22⋊C4—31no—
467C22×C22⋊C4—31no—
468C22×C22⋊C4—31no—
469C22×C22⋊C4—31no—
470C22×C22⋊C4C2×D311yescharacteristic
471C22×C42—31no—
472#399—31no—
473#399—31no—
474#398—31no—
475#398—31no—
476#397—31no—
477#397—31no—
478#397—31no—
479#397—31no—
480#396—31no—
481#396—31no—
482#396—31no—
483#396—31no—
484#395—31no—
485#395—31no—
486#394—31no—
487#394—31no—
488#394—31no—
489#394—31no—
490#394—31no—
491#394—31no—
492#394—31no—
493#394—31no—
494#394C2×D311yescharacteristic, complemented
495#394C2×D311yescharacteristic, complemented
496#394C2×D311yescharacteristic, complemented
497#394C2×D311yescharacteristic, complemented
498#393—31no—
499#393—31no—
500#393—31no—
501#393—31no—
502#392—31no—
503#392—31no—
504#392—31no—
505#392—31no—
506#392—31no—
507#392—31no—
508#392—31no—
509#392—31no—
510#392—31no—
511#392—31no—
512#391—31no—
513#390—31no—
514#390—31no—
515#390—31no—
516#390—31no—
517#390—31no—
518#390—31no—
519#390—31no—
520#390—31no—
521#390—31no—
522#390—31no—
523#390—31no—
524#390—31no—
525#390—31no—
526#390—31no—
527#390—31no—
528#389—31no—
529#389—31no—
530#388—31no—
531#388—31no—
532#388—31no—
533#388—31no—
534#388—31no—
535#388—31no—
536#388—31no—
537#388—31no—
538#388—31no—
539#388—31no—
540#388—31no—
541#388—31no—
542#388—31no—
543#388—31no—
544#387—31no—
545#387—31no—
546#386—31no—
547#386—31no—
548#386—31no—
549#386—31no—
550#386—31no—
551#386—31no—
552#386—31no—
553#386—31no—
554#386—31no—
555#386—31no—
556#386—31no—
557#386—31no—
558#386—31no—
559#386—31no—
560#386C2×D311yescharacteristic
561#386C2×D311yescharacteristic
562#385—31no—
563#385—31no—
564#385—31no—
565#385—31no—
566#385—31no—
567#385—31no—
568#385C2×D311yescharacteristic, complemented
569#385C2×D311yescharacteristic, complemented
570#382—31no—
571#381—31no—
572#381—31no—
573#380—31no—
574#380—31no—
575#379—31no—
576#379C2×D311yescharacteristic
577#379C2×D311yescharacteristic, complemented
578#379C2×D311yescharacteristic, complemented
579C4×C4⋊C4—31no—
580C4×C22⋊C4—31no—
581C4×C22⋊C4—31no—
582#376—31no—
583C24×C3—22no—
584C24×C3—22no—
585C24×C3—22no—
586C24×C3—22no—
587C24×C3—22no—
588C24×C3—22no—
589C24×C3—41no—
590C24×C3—41no—
591C24×C3—41no—
592C24×C3—41no—
593C24×C3—41no—
594C24×C3—41no—
595C24×C3—41no—
596C24×C3—41no—
597C24×C3C2411yescharacteristic
598C24×C3C2411yescharacteristic
599C24×C3C2411yescharacteristic
600C24×C3C2411yescharacteristic
601C24×C3C2411yescharacteristic
602C23×D3—22no—
603C23×D3—22no—
604C23×D3—22no—
605C23×D3—22no—
606C23×D3—41no—
607C23×D3—41no—
608C23×D3—41no—
609C23×D3C2411yescharacteristic
610C23×D3C2411yescharacteristic
611C23×D3C2411yescharacteristic
612C2×C3×D4—22no—
613C2×C3×D4—22no—
614C2×C3×D4—22no—
615C2×C3×D4—22no—
616C2×C3×D4—22no—
617C2×C3×D4—22no—
618C2×C3×D4—22no—
619C2×C3×D4—41no—
620C2×C3×D4—41no—
621C2×C3×D4—41no—
622C2×C3×D4—41no—
623C2×C3×D4—416no—
624C2×C3×D4C2×D414yes—
625C22×C3×C4—22no—
626C22×C3×C4—22no—
627C22×C3×C4—22no—
628C22×C3×C4—22no—
629C22×C3×C4—22no—
630C22×C3×C4—41no—
631C22×C3×C4—41no—
632C22×C3×C4—41no—
633C22×C3×C4—41no—
634C22×C3×C4C2411yescharacteristic
635C22×C3×C4C2411yescharacteristic
636C22×C3×C4C2411yescharacteristic
637C22×C3×C4C2411yescharacteristic
638C22×C3×C4C2411yescharacteristic
639C22×C3×C4C2411yescharacteristic
640C22×C3×C4C2411yescharacteristic
641C22×C3×C4C2411yescharacteristic
642C22×C3×C4C2411yescharacteristic
643C22×C3×C4C2411yescharacteristic
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—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×#67—416no—
672C2×#67—41no—
673C2×#67—41no—
674C2×#67—41no—
675C2×#67—41no—
676C2×#67—41no—
677C2×#67—41no—
678C2×#67—41no—
679C2×#67—41no—
680C2×#67—41no—
681C2×#67—41no—
682C2×#67—41no—
683C2×#67#4114yescomplemented
684C22×Dic3—22no—
685C22×Dic3—22no—
686C22×Dic3—22no—
687C22×Dic3—22no—
688C22×Dic3—22no—
689C22×Dic3—22no—
690C22×Dic3—22no—
691C22×Dic3—41no—
692C22×Dic3—41no—
693C22×Dic3—41no—
694C22×Dic3—41no—
695C22×Dic3—41no—
696C22×Dic3—41no—
697C22×Dic3C2×D414yes—
698C22×Dic3C2×D414yescomplemented
699C22×Dic3C2411yescharacteristic
700C22×Dic3C2411yescharacteristic
701C22×Dic3C2411yescharacteristic
702C22×Dic3C2411yescharacteristic
703C22×Dic3C2411yescharacteristic
704C22×Dic3C2411yescharacteristic
705C22×Dic3C2411yescharacteristic
706C22×Dic3C2411yescharacteristic
707C22×Dic3C2411yescharacteristic
708C22×Dic3C2411yescharacteristic
709C22×Dic3C2411yescharacteristic
710C22×Dic3C2411yescharacteristic
711C22×Dic3C2411yescharacteristic
712#237—416no—
713C2×D12—22no—
714C2×D12—41no—
715C2×D12—41no—
716C2×D12—41no—
717C2×D12—41no—
718C2×D12—41no—
719C2×C4×D3—22no—
720C2×C4×D3—22no—
721C2×C4×D3—22no—
722C2×C4×D3—22no—
723C2×C4×D3—41no—
724C2×C4×D3—41no—
725C2×C4×D3—41no—
726C2×C4×D3—41no—
727C2×C4×D3—41no—
728C2×Dic6—22no—
729C2×Dic6—22no—
730C2×Dic6—41no—
731C2×Dic6—41no—
732C2×Dic6—41no—
733C2×Dic6—41no—
734C3×C4⋊C4—22no—
735C3×C4⋊C4—22no—
736C3×C4⋊C4—41no—
737C3×C4⋊C4—41no—
738C3×C22⋊C4—22no—
739C3×C22⋊C4—22no—
740C3×C22⋊C4—22no—
741C3×C22⋊C4—22no—
742C3×C22⋊C4—22no—
743C3×C22⋊C4—41no—
744C3×C22⋊C4—41no—
745C3×C22⋊C4—41no—
746C3×C22⋊C4—41no—
747C3×C22⋊C4—41no—
748C3×C22⋊C4—41no—
749C3×C22⋊C4—41no—
750C3×C22⋊C4—41no—
751C3×C22⋊C4—41no—
752C3×C22⋊C4—41no—
753C3×C22⋊C4—41no—
754C3×C22⋊C4—41no—
755C3×C22⋊C4—41no—
756#217—22no—
757#217—22no—
758#217—22no—
759#217—22no—
760#217—22no—
761#217—22no—
762#217—22no—
763#217—22no—
764#217—22no—
765#217—22no—
766#217—22no—
767#217—22no—
768#217—22no—
769#217—22no—
770#217—22no—
771#217—22no—
772#217—41no—
773#217—41no—
774#217—41no—
775#217C2×D414yes—
776#217C2×D414yescomplemented
777(C2×D3)⋊C4—22no—
778(C2×D3)⋊C4—22no—
779(C2×D3)⋊C4—22no—
780(C2×D3)⋊C4—22no—
781(C2×D3)⋊C4—22no—
782(C2×D3)⋊C4—22no—
783(C2×D3)⋊C4—22no—
784(C2×D3)⋊C4—22no—
785(C2×D3)⋊C4—22no—
786(C2×D3)⋊C4—22no—
787(C2×D3)⋊C4—22no—
788(C2×D3)⋊C4—41no—
789(C2×D3)⋊C4—41no—
790(C2×D3)⋊C4—41no—
791(C2×D3)⋊C4—41no—
792(C2×D3)⋊C4—41no—
793(C2×D3)⋊C4—41no—
794(C2×D3)⋊C4—41no—
795(C2×D3)⋊C4—41no—
796(C2×D3)⋊C4—41no—
797(C2×D3)⋊C4—41no—
798(C2×D3)⋊C4—41no—
799(C2×D3)⋊C4—41no—
800C4⋊Dic3—22no—
801C4⋊Dic3—22no—
802C4⋊Dic3—22no—
803C4⋊Dic3C2×D414yescomplemented
804Dic3⋊C4—22no—
805Dic3⋊C4—22no—
806Dic3⋊C4—22no—
807Dic3⋊C4—22no—
808Dic3⋊C4—22no—
809Dic3⋊C4—22no—
810Dic3⋊C4—22no—
811Dic3⋊C4—41no—
812Dic3⋊C4—41no—
813Dic3⋊C4—41no—
814Dic3⋊C4—41no—
815Dic3⋊C4—41no—
816Dic3⋊C4—41no—
817Dic3⋊C4—41no—
818Dic3⋊C4—41no—
819C4×Dic3—22no—
820C4×Dic3—22no—
821C4×Dic3—22no—
822C4×Dic3—22no—
823C4×Dic3—41no—
824C4×Dic3—41no—
825C4×Dic3—41no—
826C4×Dic3—41no—
827C4×Dic3C2×D414yescomplemented
828C25—31no—
829C25C22×D311yescharacteristic
830C25C22×D311yescharacteristic
831C2×#41—64no—
832C2×#41—122no—
833C2×#41—122no—
834C22×Q8—31no—
835C22×Q8—31no—
836C22×D4—24no—
837C22×D4—31no—
838C22×D4—31no—
839C22×D4—31no—
840C22×D4—31no—
841C22×D4—31no—
842C22×D4—31no—
843C22×D4—31no—
844C22×D4—31no—
845C22×D4—31no—
846C22×D4—31no—
847C22×D4—31no—
848C22×D4—31no—
849C22×D4—31no—
850C22×D4—31no—
851C22×D4—31no—
852C22×D4—42no—
853C22×D4—42no—
854C22×D4—64no—
855C22×D4—122no—
856C22×D4—122no—
857C22×D4C22×D311yescharacteristic
858C22×D4C22×D311yescharacteristic
859C22×D4C22×D311yescharacteristic
860C22×D4C22×D311yescharacteristic
861C23×C4—31no—
862C23×C4—31no—
863C23×C4—31no—
864C23×C4—31no—
865C23×C4—31no—
866C23×C4—31no—
867C23×C4—31no—
868C23×C4—31no—
869C23×C4C22×D311yescharacteristic
870C23×C4C22×D311yescharacteristic
871C23×C4C22×D311yescharacteristic
872#126—64no—
873#126—64no—
874#124—64no—
875#124—64no—
876#124—122no—
877#123—24no—
878#123—42no—
879#123—64no—
880#123—64no—
881#123—64no—
882#123—64no—
883#123—122no—
884C22⋊Q8—64no—
885C22⋊Q8—64no—
886C22⋊Q8—64no—
887#121—64no—
888#121—64no—
889#121—64no—
890#121—64no—
891#121—122no—
892#120—64no—
893#120—64no—
894#120—64no—
895#120—64no—
896#120—122no—
897#120—122no—
898#120—122no—
899C4×D4—38no—
900C4×D4—64no—
901C4×D4—64no—
902#117—64no—
903#117—64no—
904#117—122no—
905C2×C4⋊C4—31no—
906C2×C4⋊C4—31no—
907C2×C4⋊C4—31no—
908C2×C4⋊C4—31no—
909C2×C4⋊C4—31no—
910C2×C4⋊C4—31no—
911C2×C4⋊C4—31no—
912C2×C4⋊C4—31no—
913C2×C4⋊C4—31no—
914C2×C4⋊C4—31no—
915C2×C4⋊C4—31no—
916C2×C4⋊C4—31no—
917C2×C4⋊C4—31no—
918C2×C4⋊C4—31no—
919C2×C4⋊C4—31no—
920C2×C4⋊C4—31no—
921C2×C4⋊C4—31no—
922C2×C4⋊C4—31no—
923C2×C4⋊C4—31no—
924C2×C4⋊C4—122no—
925C2×C4⋊C4C22×D311yescharacteristic
926C2×C4⋊C4C22×D311yescharacteristic
927C2×C4⋊C4C22×D311yescharacteristic
928C2×C4⋊C4C22×D311yescharacteristic
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—31no—
950C2×C22⋊C4—31no—
951C2×C22⋊C4—31no—
952C2×C22⋊C4—31no—
953C2×C22⋊C4—31no—
954C2×C22⋊C4—31no—
955C2×C22⋊C4—31no—
956C2×C22⋊C4—31no—
957C2×C22⋊C4—31no—
958C2×C22⋊C4—31no—
959C2×C22⋊C4—31no—
960C2×C22⋊C4—31no—
961C2×C22⋊C4—31no—
962C2×C22⋊C4—31no—
963C2×C22⋊C4—31no—
964C2×C22⋊C4—31no—
965C2×C22⋊C4—31no—
966C2×C22⋊C4—31no—
967C2×C22⋊C4—31no—
968C2×C22⋊C4—31no—
969C2×C22⋊C4—31no—
970C2×C22⋊C4—31no—
971C2×C22⋊C4—31no—
972C2×C22⋊C4—31no—
973C2×C22⋊C4—42no—
974C2×C22⋊C4—64no—
975C2×C22⋊C4—64no—
976C2×C22⋊C4—64no—
977C2×C22⋊C4—64no—
978C2×C22⋊C4—122no—
979C2×C22⋊C4C22×D311yescharacteristic
980C2×C22⋊C4C22×D311yescharacteristic
981C2×C22⋊C4C22×D311yescharacteristic
982C2×C22⋊C4C22×D311yescharacteristic
983C2×C22⋊C4C22×D311yescharacteristic
984C2×C22⋊C4C22×D311yescharacteristic
985C2×C22⋊C4C22×D311yescharacteristic
986C2×C22⋊C4C22×D311yescharacteristic
987C2×C22⋊C4C22×D311yescharacteristic
988C2×C22⋊C4C22×D311yescharacteristic
989C2×C22⋊C4C22×D311yescharacteristic
990C2×C22⋊C4C22×D311yescharacteristic
991C2×C22⋊C4C22×D311yescharacteristic
992C2×C22⋊C4C22×D311yescharacteristic
993C2×C22⋊C4C22×D311yescharacteristic
994C2×C22⋊C4C22×D311yescharacteristic
995C2×C22⋊C4C22×D311yescharacteristic
996C2×C22⋊C4C22×D311yescharacteristic
997C2×C42—31no—
998C2×C42—31no—
999C2×C42—31no—
1000C2×C42—31no—
1001C2×C42—31no—
1002C2×C42—31no—
1003C2×C42—31no—
1004C2×C42—31no—
1005C2×C42—31no—
1006C2×C42—122no—
1007#95—31no—
1008#95—31no—
1009#95—31no—
1010#95—31no—
1011#95—31no—
1012#95—31no—
1013#95—31no—
1014#95—31no—
1015#95—31no—
1016#95—31no—
1017#95—31no—
1018#95—31no—
1019#95—31no—
1020#95—31no—
1021#95—31no—
1022#95—31no—
1023#95—31no—
1024#95—31no—
1025#95—31no—
1026#95—31no—
1027#95—31no—
1028#95—31no—
1029#95C22×D311yescharacteristic
1030#95C22×D311yescharacteristic
1031#95C22×D311yescharacteristic
1032#95C22×D311yescharacteristic
1033C23×C3—21no—
1034C23×C3—21no—
1035C23×C3—21no—
1036C23×C3—21no—
1037C23×C3—21no—
1038C23×C3—21no—
1039C23×C3—21no—
1040C23×C3—21no—
1041C23×C3—21no—
1042C23×C3—21no—
1043C23×C3—21no—
1044C23×C3—21no—
1045C23×C3—21no—
1046C23×C3—21no—
1047C23×C3—21no—
1048C23×C3—21no—
1049C23×C3—21no—
1050C23×C3—21no—
1051C23×C3—21no—
1052C23×C3—21no—
1053C23×C3—21no—
1054C23×C3—21no—
1055C23×C3—21no—
1056C23×C3—21no—
1057C23×C3—21no—
1058C23×C3—21no—
1059C23×C3—21no—
1060C23×C3—21no—
1061C23×C3—21no—
1062C23×C3—21no—
1063C23×C3—44no—
1064C23×C3—44no—
1065C23×C3—44no—
1066C23×C3—44no—
1067C23×C3—44no—
1068C23×C3—44no—
1069C23×C3—82no—
1070C23×C3—82no—
1071C23×C3—82no—
1072C23×C3—82no—
1073C23×C3—82no—
1074C23×C3—82no—
1075C23×C3—82no—
1076C23×C3—82no—
1077C23×C3C22×D412yes—
1078C23×C3C22×D412yes—
1079C23×C3C2×#4112yes—
1080C23×C3H(5,𝔽2)12yes—
1081C23×C3H(5,𝔽2)12yes—
1082C23×C3C2511yescharacteristic
1083C22×D3—21no—
1084C22×D3—21no—
1085C22×D3—21no—
1086C22×D3—21no—
1087C22×D3—21no—
1088C22×D3—21no—
1089C22×D3—21no—
1090C22×D3—21no—
1091C22×D3—21no—
1092C22×D3—21no—
1093C22×D3—21no—
1094C22×D3—21no—
1095C22×D3—21no—
1096C22×D3—21no—
1097C22×D3—21no—
1098C22×D3—21no—
1099C22×D3—21no—
1100C22×D3—21no—
1101C22×D3—21no—
1102C22×D3—21no—
1103C22×D3—44no—
1104C22×D3—44no—
1105C22×D3—44no—
1106C22×D3—44no—
1107C22×D3—82no—
1108C22×D3—82no—
1109C22×D3—82no—
1110C22×D3C2×#4112yes—
1111C3×D4—28no—
1112C3×D4—44no—
1113C3×D4—44no—
1114C3×D4—44no—
1115C2×C3×C4—21no—
1116C2×C3×C4—21no—
1117C2×C3×C4—21no—
1118C2×C3×C4—21no—
1119C2×C3×C4—21no—
1120C2×C3×C4—21no—
1121C2×C3×C4—21no—
1122C2×C3×C4—21no—
1123C2×C3×C4—21no—
1124C2×C3×C4—21no—
1125C2×C3×C4—21no—
1126C2×C3×C4—21no—
1127C2×C3×C4—21no—
1128C2×C3×C4—21no—
1129C2×C3×C4—21no—
1130C2×C3×C4—21no—
1131C2×C3×C4—21no—
1132C2×C3×C4—21no—
1133C2×C3×C4—21no—
1134C2×C3×C4—21no—
1135C2×C3×C4—21no—
1136C2×C3×C4—21no—
1137C2×C3×C4—21no—
1138C2×C3×C4—21no—
1139C2×C3×C4—21no—
1140C2×C3×C4—21no—
1141C2×C3×C4—21no—
1142C2×C3×C4—21no—
1143C2×C3×C4—21no—
1144C2×C3×C4—44no—
1145C2×C3×C4—44no—
1146C2×C3×C4—44no—
1147C2×C3×C4C22×D412yes—
1148#67—44no—
1149#67—44no—
1150#67—44no—
1151#67—44no—
1152#67—44no—
1153#67—44no—
1154#67—44no—
1155#67—44no—
1156#67—82no—
1157#67—82no—
1158#67—82no—
1159#67—82no—
1160#67—82no—
1161C2×Dic3—28no—
1162C2×Dic3—21no—
1163C2×Dic3—21no—
1164C2×Dic3—21no—
1165C2×Dic3—21no—
1166C2×Dic3—21no—
1167C2×Dic3—21no—
1168C2×Dic3—21no—
1169C2×Dic3—21no—
1170C2×Dic3—21no—
1171C2×Dic3—21no—
1172C2×Dic3—21no—
1173C2×Dic3—21no—
1174C2×Dic3—21no—
1175C2×Dic3—21no—
1176C2×Dic3—21no—
1177C2×Dic3—21no—
1178C2×Dic3—21no—
1179C2×Dic3—21no—
1180C2×Dic3—21no—
1181C2×Dic3—21no—
1182C2×Dic3—21no—
1183C2×Dic3—21no—
1184C2×Dic3—21no—
1185C2×Dic3—21no—
1186C2×Dic3—21no—
1187C2×Dic3—21no—
1188C2×Dic3—21no—
1189C2×Dic3—21no—
1190C2×Dic3—21no—
1191C2×Dic3—21no—
1192C2×Dic3—21no—
1193C2×Dic3—21no—
1194C2×Dic3—21no—
1195C2×Dic3—44no—
1196C2×Dic3—44no—
1197C2×Dic3—44no—
1198C2×Dic3—44no—
1199C2×Dic3C22×D412yes—
1200C2×Dic3C22×D412yes—
1201C2×Dic3C22×D412yes—
1202C2×Dic3C22×D412yes—
1203C2×Dic3C2×#4112yes—
1204C2×Dic3H(5,𝔽2)12yes—
1205D12—82no—
1206D12—82no—
1207C4×D3—44no—
1208C4×D3—44no—
1209C4×D3—82no—
1210Dic6—44no—
1211Dic6—82no—
1212C24—22no—
1213C24—22no—
1214C24—22no—
1215C24—22no—
1216C24—22no—
1217C24—22no—
1218C24—31no—
1219C24—31no—
1220C24—31no—
1221C24—41no—
1222C24—41no—
1223C24—41no—
1224C24—41no—
1225C24—41no—
1226C24—41no—
1227C24—41no—
1228C24—41no—
1229C24—62no—
1230C24—62no—
1231C24—62no—
1232C24—62no—
1233C24—121no—
1234C24—121no—
1235C24—121no—
1236C24C23×D311yescharacteristic
1237C24C23×D311yescharacteristic
1238C24C23×D311yescharacteristic
1239C24C23×D311yescharacteristic
1240C24C23×D311yescharacteristic
1241#41—1216no—
1242C2×Q8—62no—
1243C2×Q8—62no—
1244C2×Q8—121no—
1245C2×Q8—121no—
1246C2×Q8—121no—
1247C2×Q8—121no—
1248C2×D4—22no—
1249C2×D4—22no—
1250C2×D4—22no—
1251C2×D4—22no—
1252C2×D4—22no—
1253C2×D4—22no—
1254C2×D4—22no—
1255C2×D4—34no—
1256C2×D4—41no—
1257C2×D4—41no—
1258C2×D4—41no—
1259C2×D4—41no—
1260C2×D4—416no—
1261C2×D4—62no—
1262C2×D4—62no—
1263C2×D4—62no—
1264C2×D4—62no—
1265C2×D4—62no—
1266C2×D4—62no—
1267C2×D4—62no—
1268C2×D4—62no—
1269C2×D4—62no—
1270C2×D4—62no—
1271C2×D4—62no—
1272C2×D4—62no—
1273C2×D4—62no—
1274C2×D4—62no—
1275C2×D4—62no—
1276C2×D4—62no—
1277C2×D4—62no—
1278C2×D4—62no—
1279C2×D4—121no—
1280C2×D4—121no—
1281C2×D4—121no—
1282C2×D4—121no—
1283C2×D4—121no—
1284C2×D4—121no—
1285C2×D4—121no—
1286C2×D4—121no—
1287C2×D4—121no—
1288C2×D4—121no—
1289C2×D4—121no—
1290C2×D4—121no—
1291C2×D4—121no—
1292C2×D4—121no—
1293C2×D4—121no—
1294C2×D4—1216no—
1295C2×D4—121no—
1296C2×D4—121no—
1297C2×D4—121no—
1298C2×D4—121no—
1299C2×D4—121no—
1300C2×D4—121no—
1301C2×D4—121no—
1302C2×D4—121no—
1303C2×D4—121no—
1304C2×D4—121no—
1305C2×D4—121no—
1306C2×D4D3×D414yes—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—22no—
1312C22×C4—31no—
1313C22×C4—31no—
1314C22×C4—31no—
1315C22×C4—31no—
1316C22×C4—31no—
1317C22×C4—31no—
1318C22×C4—34no—
1319C22×C4—34no—
1320C22×C4—31no—
1321C22×C4—31no—
1322C22×C4—31no—
1323C22×C4—31no—
1324C22×C4—31no—
1325C22×C4—31no—
1326C22×C4—31no—
1327C22×C4—41no—
1328C22×C4—41no—
1329C22×C4—41no—
1330C22×C4—41no—
1331C22×C4—62no—
1332C22×C4—62no—
1333C22×C4—62no—
1334C22×C4—62no—
1335C22×C4—62no—
1336C22×C4—62no—
1337C22×C4—62no—
1338C22×C4—62no—
1339C22×C4—62no—
1340C22×C4—62no—
1341C22×C4—62no—
1342C22×C4—121no—
1343C22×C4—121no—
1344C22×C4—121no—
1345C22×C4—121no—
1346C22×C4—121no—
1347C22×C4—121no—
1348C22×C4—121no—
1349C22×C4—121no—
1350C22×C4—121no—
1351C22×C4—121no—
1352C22×C4—121no—
1353C22×C4C23×D311yescharacteristic
1354C22×C4C23×D311yescharacteristic
1355C22×C4C23×D311yescharacteristic
1356C22×C4C23×D311yescharacteristic
1357C22×C4C23×D311yescharacteristic
1358C22×C4C23×D311yescharacteristic
1359C22×C4C23×D311yescharacteristic
1360C22×C4C23×D311yescharacteristic
1361C22×C4C23×D311yescharacteristic
1362C22×C4C23×D311yescharacteristic
1363C4⋊C4—22no—
1364C4⋊C4—22no—
1365C4⋊C4—34no—
1366C4⋊C4—41no—
1367C4⋊C4—41no—
1368C4⋊C4—62no—
1369C4⋊C4—62no—
1370C4⋊C4—62no—
1371C4⋊C4—62no—
1372C4⋊C4—62no—
1373C4⋊C4—62no—
1374C4⋊C4—62no—
1375C4⋊C4—62no—
1376C4⋊C4—62no—
1377C4⋊C4—62no—
1378C4⋊C4—121no—
1379C4⋊C4—121no—
1380C4⋊C4—121no—
1381C4⋊C4—121no—
1382C4⋊C4—121no—
1383C4⋊C4—121no—
1384C4⋊C4—121no—
1385C4⋊C4—121no—
1386C22⋊C4—22no—
1387C22⋊C4—22no—
1388C22⋊C4—22no—
1389C22⋊C4—22no—
1390C22⋊C4—22no—
1391C22⋊C4—34no—
1392C22⋊C4—34no—
1393C22⋊C4—41no—
1394C22⋊C4—41no—
1395C22⋊C4—41no—
1396C22⋊C4—41no—
1397C22⋊C4—41no—
1398C22⋊C4—41no—
1399C22⋊C4—41no—
1400C22⋊C4—41no—
1401C22⋊C4—41no—
1402C22⋊C4—41no—
1403C22⋊C4—41no—
1404C22⋊C4—41no—
1405C22⋊C4—41no—
1406C22⋊C4—62no—
1407C22⋊C4—62no—
1408C22⋊C4—62no—
1409C22⋊C4—62no—
1410C22⋊C4—62no—
1411C22⋊C4—62no—
1412C22⋊C4—62no—
1413C22⋊C4—62no—
1414C22⋊C4—62no—
1415C22⋊C4—62no—
1416C22⋊C4—62no—
1417C22⋊C4—62no—
1418C22⋊C4—62no—
1419C22⋊C4—62no—
1420C22⋊C4—62no—
1421C22⋊C4—62no—
1422C22⋊C4—62no—
1423C22⋊C4—62no—
1424C22⋊C4—62no—
1425C22⋊C4—62no—
1426C22⋊C4—62no—
1427C22⋊C4—62no—
1428C22⋊C4—62no—
1429C22⋊C4—62no—
1430C22⋊C4—62no—
1431C22⋊C4—62no—
1432C22⋊C4—62no—
1433C22⋊C4—121no—
1434C22⋊C4—121no—
1435C22⋊C4—121no—
1436C22⋊C4—121no—
1437C22⋊C4—121no—
1438C22⋊C4—121no—
1439C22⋊C4—121no—
1440C22⋊C4—121no—
1441C22⋊C4—121no—
1442C22⋊C4—121no—
1443C22⋊C4—121no—
1444C22⋊C4—121no—
1445C22⋊C4—121no—
1446C22⋊C4—121no—
1447C22⋊C4—121no—
1448C42—34no—
1449C42—62no—
1450C42—62no—
1451C42—62no—
1452C42—62no—
1453C42—121no—
1454C42—121no—
1455C42—121no—
1456C42—121no—
1457C22×C3—22no—
1458C22×C3—22no—
1459C22×C3—22no—
1460C22×C3—22no—
1461C22×C3—22no—
1462C22×C3—22no—
1463C22×C3—22no—
1464C22×C3—22no—
1465C22×C3—22no—
1466C22×C3—22no—
1467C22×C3—22no—
1468C22×C3—22no—
1469C22×C3—41no—
1470C22×C3—41no—
1471C22×C3—41no—
1472C22×C3—41no—
1473C22×C3—41no—
1474C22×C3—41no—
1475C22×C3—41no—
1476C22×C3—41no—
1477C22×C3—41no—
1478C22×C3—41no—
1479C22×C3—41no—
1480C22×C3—41no—
1481C22×C3—41no—
1482C22×C3—41no—
1483C22×C3—41no—
1484C22×C3—41no—
1485C22×C3—41no—
1486C22×C3—41no—
1487C22×C3—41no—
1488C22×C3—41no—
1489C22×C3—41no—
1490C22×C3—41no—
1491C22×C3—88no—
1492C22×C3—88no—
1493C22×C3#53514yes—
1494C22×C3C23×D411yescharacteristic
1495C22×C3C22×#4111yescharacteristic
1496C22×C3C2×H(5,𝔽2)11yescharacteristic
1497C22×C3C2×H(5,𝔽2)11yescharacteristic
1498C22×C3C2×H(5,𝔽2)11yescharacteristic
1499C22×C3#58511yescharacteristic
1500C22×C3#58511yescharacteristic
1501C2×D3—22no—
1502C2×D3—22no—
1503C2×D3—22no—
1504C2×D3—41no—
1505C2×D3—41no—
1506C2×D3—41no—
1507C2×D3—41no—
1508C2×D3—41no—
1509C2×D3—41no—
1510C2×D3—41no—
1511C2×D3—41no—
1512C2×D3—41no—
1513C2×D3—41no—
1514C2×D3—41no—
1515C2×D3—41no—
1516C2×D3—41no—
1517C2×D3—41no—
1518C2×D3—41no—
1519C2×D3—41no—
1520C2×D3—41no—
1521C2×D3—41no—
1522C2×D3—88no—
1523C3×C4—22no—
1524C3×C4—41no—
1525C3×C4—41no—
1526C3×C4—41no—
1527C3×C4—41no—
1528C3×C4—41no—
1529C3×C4—41no—
1530C3×C4—41no—
1531C3×C4—41no—
1532C3×C4—41no—
1533Dic3—22no—
1534Dic3—22no—
1535Dic3—22no—
1536Dic3—22no—
1537Dic3—22no—
1538Dic3—22no—
1539Dic3—41no—
1540Dic3—41no—
1541Dic3—41no—
1542Dic3—41no—
1543Dic3—41no—
1544Dic3—41no—
1545Dic3—41no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—32no—
1577C23—44no—
1578C23—44no—
1579C23—44no—
1580C23—44no—
1581C23—44no—
1582C23—44no—
1583C23—61no—
1584C23—61no—
1585C23—61no—
1586C23—61no—
1587C23—61no—
1588C23—61no—
1589C23—61no—
1590C23—61no—
1591C23—61no—
1592C23—61no—
1593C23—61no—
1594C23—61no—
1595C23—61no—
1596C23—61no—
1597C23—61no—
1598C23—61no—
1599C23—61no—
1600C23—61no—
1601C23—61no—
1602C23—61no—
1603C23—82no—
1604C23—82no—
1605C23—82no—
1606C23—82no—
1607C23—82no—
1608C23—82no—
1609C23—82no—
1610C23—82no—
1611C23—124no—
1612C23—124no—
1613C23—124no—
1614C23—124no—
1615C23—242no—
1616C23—242no—
1617C23—242no—
1618C23C2×D3×D412yes—
1619C23C2×D3×D412yes—
1620C23#100412yes—
1621C23#100412yes—
1622C23D3×#4112yes—
1623C23C24×D311yescharacteristic
1624Q8—124no—
1625Q8—242no—
1626D4—28no—
1627D4—44no—
1628D4—44no—
1629D4—44no—
1630D4—124no—
1631D4—124no—
1632D4—124no—
1633D4—124no—
1634D4—124no—
1635D4—124no—
1636D4—124no—
1637D4—124no—
1638D4—242no—
1639D4—242no—
1640D4—242no—
1641D4—242no—
1642D4—242no—
1643D4—242no—
1644D4—242no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—32no—
1675C2×C4—32no—
1676C2×C4—32no—
1677C2×C4—32no—
1678C2×C4—32no—
1679C2×C4—32no—
1680C2×C4—44no—
1681C2×C4—44no—
1682C2×C4—44no—
1683C2×C4—68no—
1684C2×C4—61no—
1685C2×C4—61no—
1686C2×C4—61no—
1687C2×C4—61no—
1688C2×C4—61no—
1689C2×C4—61no—
1690C2×C4—61no—
1691C2×C4—61no—
1692C2×C4—61no—
1693C2×C4—61no—
1694C2×C4—61no—
1695C2×C4—61no—
1696C2×C4—61no—
1697C2×C4—61no—
1698C2×C4—61no—
1699C2×C4—61no—
1700C2×C4—61no—
1701C2×C4—61no—
1702C2×C4—61no—
1703C2×C4—61no—
1704C2×C4—61no—
1705C2×C4—61no—
1706C2×C4—61no—
1707C2×C4—61no—
1708C2×C4—61no—
1709C2×C4—61no—
1710C2×C4—61no—
1711C2×C4—61no—
1712C2×C4—61no—
1713C2×C4—61no—
1714C2×C4—61no—
1715C2×C4—61no—
1716C2×C4—61no—
1717C2×C4—124no—
1718C2×C4—124no—
1719C2×C4—124no—
1720C2×C4—124no—
1721C2×C4—124no—
1722C2×C4—124no—
1723C2×C4—242no—
1724C2×C4C2×D3×D412yes—
1725C2×C3—24no—
1726C2×C3—42no—
1727C2×C3—42no—
1728C2×C3—81no—
1729C2×C3—81no—
1730C2×C3C2×#53511yescharacteristic
1731C2×C3D4×#4111yescharacteristic
1732C2×C3#349011yescharacteristic
1733C2×C3#349611yescharacteristic
1734C2×C3#351311yescharacteristic
1735C2×C3#354211yescharacteristic
1736C2×C3#354511yescharacteristic
1737D3—42no—
1738D3—81no—
1739D3—81no—
1740C22—22no—
1741C22—22no—
1742C22—22no—
1743C22—22no—
1744C22—22no—
1745C22—22no—
1746C22—22no—
1747C22—22no—
1748C22—22no—
1749C22—22no—
1750C22—22no—
1751C22—22no—
1752C22—41no—
1753C22—41no—
1754C22—41no—
1755C22—41no—
1756C22—41no—
1757C22—41no—
1758C22—41no—
1759C22—41no—
1760C22—41no—
1761C22—41no—
1762C22—41no—
1763C22—41no—
1764C22—41no—
1765C22—41no—
1766C22—41no—
1767C22—41no—
1768C22—41no—
1769C22—41no—
1770C22—41no—
1771C22—41no—
1772C22—41no—
1773C22—41no—
1774C22—62no—
1775C22—62no—
1776C22—62no—
1777C22—88no—
1778C22—88no—
1779C22—121no—
1780C22—121no—
1781C22—121no—
1782C22—121no—
1783C22—121no—
1784C22—121no—
1785C22—121no—
1786C22—121no—
1787C22—121no—
1788C22—121no—
1789C22—121no—
1790C22—121no—
1791C22—121no—
1792C22—121no—
1793C22—121no—
1794C22—121no—
1795C22—121no—
1796C22—121no—
1797C22—248no—
1798C22#559214yes—
1799C22C22×D3×D411yescharacteristic
1800C22C2×#100411yescharacteristic
1801C22C2×#100411yescharacteristic
1802C22C2×D3×#4111yescharacteristic
1803C22#596411yescharacteristic
1804C22D3×H(5,𝔽2)11yescharacteristic
1805C22#596611yescharacteristic
1806C4—22no—
1807C4—41no—
1808C4—41no—
1809C4—41no—
1810C4—41no—
1811C4—41no—
1812C4—41no—
1813C4—41no—
1814C4—41no—
1815C4—41no—
1816C4—62no—
1817C4—62no—
1818C4—62no—
1819C4—62no—
1820C4—62no—
1821C4—62no—
1822C4—121no—
1823C4—121no—
1824C4—121no—
1825C4—121no—
1826C4—121no—
1827C4—121no—
1828C4—121no—
1829C3#3842011yescharacteristic, complemented, Sylow
1830C2—24no—
1831C2—42no—
1832C2—42no—
1833C2—81no—
1834C2—81no—
1835C2—122no—
1836C2—241no—
1837C2—241no—
1838C2C2×#559211yescharacteristic
1839C2#8601311yescharacteristic
1840C2#8630211yescharacteristic
1841C2#8662611yescharacteristic
1842C2#8665211yescharacteristic
1843C2#8666411yescharacteristic
1844C2#8666511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2405C2
hypercenter#2405D3
hypocenterC3#38420
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2405

Complements

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

NH ≅ G/Ntype
1. C2×#5806C2semidirect
2. C2×#5658C2semidirect
3. C3×#2405C2semidirect
4. #84052C2semidirect
5. #82901C2semidirect
6. #82843C2semidirect
7. #82841C2semidirect
8. #82106C2semidirect
9. C2×#4957C2semidirect
10. #77037C2semidirect
11. #77030C2semidirect
12. #77026C2semidirect
13. #77003C2semidirect
14. #76997C2semidirect
15. #76994C2semidirect
16. #76969C2semidirect
17. #76896C2semidirect
18. #74885C2semidirect
19. #74869C2semidirect
20. #74690C2semidirect
21. #74657C2semidirect
22. #74537C2semidirect
23. #74516C2semidirect
24. #74499C2semidirect
25. #74385C2semidirect
26. #73858C2semidirect
27. #73854C2semidirect
28. #73837C2semidirect
29. #73835C2semidirect
30. #73825C2semidirect
31. #73821C2semidirect
42. C2×#953C22semidirect
44. C22×#217C22semidirect
47. C2×#939C22semidirect
48. C2×#938C22semidirect
51. C2×#936C22semidirect
53. C2×#935C22semidirect
55. C2×#929C22semidirect
56. C2×C4×#67C22semidirect
57. C22×(C2×D3)⋊C4C22semidirect
58. C22×(C2×D3)⋊C4C22semidirect
59. C2×#926C22semidirect
60. C2×#924C22semidirect
61. C22×Dic3⋊C4C22semidirect
62. C22×C4×Dic3C22semidirect
64. C2×#898C22semidirect
65. C2×#898C22semidirect
66. C2×#897C22semidirect
67. C2×#892C22semidirect
68. C2×#886C22semidirect
69. C2×#885C22semidirect
70. C2×#885C22semidirect
72. C2×#884C22semidirect
73. C2×#883C22semidirect
74. C2×#882C22semidirect
75. C2×#67⋊C4C22semidirect
76. C2×D3×C22⋊C4C22semidirect
77. C2×#878C22semidirect
78. C2×#877C22semidirect
79. C3×#394C22semidirect
80. C3×#394C22semidirect
81. C3×#394C22semidirect
82. C3×#394C22semidirect
85. C3×#385C22semidirect
86. C3×#385C22semidirect
88. C3×#379C22semidirect
89. C3×#379C22semidirect
99. #5213C22semidirect
100. #5210C22semidirect
101. #4993C22semidirect
102. #4993C22semidirect
103. #4989C22semidirect
104. #4989C22semidirect
105. #4988C22semidirect
106. #4988C22semidirect
107. #4982C22semidirect
108. #4982C22semidirect
109. #4979C22semidirect
110. #4979C22semidirect
111. #4976C22semidirect
112. #4976C22semidirect
113. #4961C22semidirect
114. #4961C22semidirect
116. #4960C22semidirect
117. #4960C22semidirect
118. #4960C22semidirect
119. #4960C22semidirect
120. #4960C22semidirect
122. #4959C22semidirect
123. #4959C22semidirect
124. #4959C22semidirect
125. #4959C22semidirect
126. #4959C22semidirect
127. #4958C22semidirect
128. #4958C22semidirect
129. #4958C22semidirect
134. #4957C22semidirect
135. #4957C22semidirect
136. #4957C22semidirect
137. #4957C22semidirect
138. #4957C22semidirect
139. #4957C22semidirect
140. #4957C22semidirect
141. #4957C22semidirect
142. #4957C22semidirect
144. #4956C22semidirect
145. #4956C22semidirect
146. #4956C22semidirect
147. #4952C22semidirect
148. #4952C22semidirect
149. #4951C22semidirect
150. #4951C22semidirect
151. #4951C22semidirect
152. #4948C22semidirect
153. #4948C22semidirect
154. #4948C22semidirect
155. #4948C22semidirect
156. #4947C22semidirect
157. #4947C22semidirect
158. #4946C22semidirect
159. #4946C22semidirect
160. #4946C22semidirect
161. #4945C22semidirect
162. #4945C22semidirect
163. #4945C22semidirect
164. #4945C22semidirect
165. #4945C22semidirect
166. #4944C22semidirect
167. #4944C22semidirect
168. #4944C22semidirect
169. #4944C22semidirect
170. #4943C22semidirect
171. #4943C22semidirect
172. Dic3×C22⋊C4C22semidirect
173. Dic3×C22⋊C4C22semidirect
174. #4675C22semidirect
175. #4675C22semidirect
176. #4673C22semidirect
177. #4673C22semidirect
178. #4670C22semidirect
179. #4669C22semidirect
180. #4667C22semidirect
181. #4667C22semidirect
182. #4665C22semidirect
183. #4665C22semidirect
184. #4654C22semidirect
185. #4653C22semidirect
186. #4650C22semidirect
187. #4649C22semidirect
188. #4648C22semidirect
189. #4646C22semidirect
214. #2405D3semidirect
325. D4×Dic3D4semidirect
494. #394C2×D3semidirect
495. #394C2×D3semidirect
496. #394C2×D3semidirect
497. #394C2×D3semidirect
568. #385C2×D3semidirect
569. #385C2×D3semidirect
577. #379C2×D3semidirect
578. #379C2×D3semidirect
683. C2×#67#41semidirect
698. C22×Dic3C2×D4semidirect
776. #217C2×D4semidirect
803. C4⋊Dic3C2×D4semidirect
827. C4×Dic3C2×D4semidirect
1829. C3#38420semidirect

Maximal subgroups

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

subgroupindex
C2×#58062
C2×#56582
C3×#24052
#840522
#829012
#828432
#828412
#821062
C2×#49572
#770372
#770302
#770262
#770032
#769972
#769942
#769692
#768962
#748852
#748692
#746902
#746572
#745372
#745162
#744992
#743852
#738582
#738542
#738372
#738352
#738252
#738212
#384203