Finite Group Databasebeta

← #11097431

Subgroups — #11097431

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×#5591C211yesmaximal, characteristic, complemented
2C2×#5589C211yesmaximal, characteristic, complemented
3C3×#2433C211yesmaximal, characteristic, complemented
4C2×#5223C211yesmaximal, characteristic, complemented
5#84048C211yesmaximal, characteristic, complemented
6#83190C211yesmaximal, characteristic, complemented
7#83190C211yesmaximal, characteristic, complemented
8#83189C211yesmaximal, characteristic, complemented
9#83187C211yesmaximal, characteristic, complemented
10#82702C211yesmaximal, characteristic, complemented
11#82645C211yesmaximal, characteristic, complemented
12#82607C211yesmaximal, characteristic, complemented
13#82604C211yesmaximal, characteristic, complemented
14#82591C211yesmaximal, characteristic, complemented
15#82589C211yesmaximal, characteristic, complemented
16#82587C211yesmaximal, characteristic, complemented
17#82584C211yesmaximal, characteristic, complemented
18#76775C211yesmaximal, characteristic, complemented
19#76772C211yesmaximal, characteristic, complemented
20#76766C211yesmaximal, characteristic, complemented
21#76742C211yesmaximal, characteristic, complemented
22#76721C211yesmaximal, characteristic, complemented
23#76721C211yesmaximal, characteristic, complemented
24#76703C211yesmaximal, characteristic, complemented
25#76697C211yesmaximal, characteristic, complemented
26#76470C211yesmaximal, characteristic, complemented
27#76460C211yesmaximal, characteristic, complemented
28#76390C211yesmaximal, characteristic, complemented
29#76311C211yesmaximal, characteristic, complemented
30#73574C211yesmaximal, characteristic, complemented
31#73504C211yesmaximal, characteristic, complemented
32#40485—31nomaximal, Sylow
33C23×C3×D4C2211yescharacteristic, complemented
34C23×#67C2211yescharacteristic
35C23×#67C2211yescharacteristic
36C22×#237C2211yescharacteristic, complemented
37C22×D3×D4C2211yescharacteristic
38C2×C3×#127C2211yescharacteristic, complemented
39C2×C3×#127C2211yescharacteristic, complemented
40C2×C3×#121C2211yescharacteristic
41C2×C3×#120C2211yescharacteristic
42C2×C3×#120C2211yescharacteristic
43C2×C3×#120C2211yescharacteristic, complemented
44C2×C3×#120C2211yescharacteristic, complemented
45C2×#953C2211yescharacteristic
46C2×#953C2211yescharacteristic
47C22×#217C2211yescharacteristic, complemented
48C22×#217C2211yescharacteristic, complemented
49C22×#217C2211yescharacteristic, complemented
50C2×#939C2211yescharacteristic
51C2×#939C2211yescharacteristic, complemented
52C2×#939C2211yescharacteristic, complemented
53C2×#939C2211yescharacteristic, complemented
54C2×#939C2211yescharacteristic, complemented
55C2×#939C2211yescharacteristic, complemented
56C2×#938C2211yescharacteristic, complemented
57C2×#938C2211yescharacteristic, complemented
58C2×#938C2211yescharacteristic, complemented
59C2×#937C2211yescharacteristic
60C2×#937C2211yescharacteristic, complemented
61C2×#937C2211yescharacteristic, complemented
62C2×#937C2211yescharacteristic, complemented
63C2×#937C2211yescharacteristic, complemented
64C2×#937C2211yescharacteristic, complemented
65C2×#936C2211yescharacteristic, complemented
66C2×#935C2211yescharacteristic
67C2×#935C2211yescharacteristic, complemented
68C2×D4×Dic3C2211yescharacteristic, complemented
69C22×(C2×D3)⋊C4C2211yescharacteristic
70#5591—28no—
71#5589—28no—
72C2×#886C2211yescharacteristic
73C2×#886C2211yescharacteristic, complemented
74C2×#885C2211yescharacteristic, complemented
75C2×#884C2211yescharacteristic, complemented
76C2×#884C2211yescharacteristic, complemented
77C2×#883C2211yescharacteristic, complemented
78C2×#883C2211yescharacteristic, complemented
79C2×#883C2211yescharacteristic, complemented
80C2×#67⋊C4C2211yescharacteristic, complemented
81C2×D3×C22⋊C4C2211yescharacteristic
82C2×#878C2211yescharacteristic, complemented
83C2×#872C2211yescharacteristic, complemented
84C3×#392C2211yescharacteristic, complemented
85C3×#392C2211yescharacteristic, complemented
86C3×#392C2211yescharacteristic, complemented
87C3×#392C2211yescharacteristic, complemented
88C3×#390C2211yescharacteristic, complemented
89C3×#390C2211yescharacteristic, complemented
90C3×C4×C22⋊C4C2211yescharacteristic, complemented
91#5247C2211yescharacteristic, complemented
92#5223C2211yescharacteristic
93#5223C2211yescharacteristic
94#5223C2211yescharacteristic
95#5223C2211yescharacteristic
96#5223C2211yescharacteristic, complemented
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#5223C2211yescharacteristic, complemented
111#5223C2211yescharacteristic, complemented
112#5222C2211yescharacteristic, complemented
113#5222C2211yescharacteristic, complemented
114#5222C2211yescharacteristic, complemented
115#5222C2211yescharacteristic, complemented
116#5222C2211yescharacteristic, complemented
117#5222C2211yescharacteristic, complemented
118#5222C2211yescharacteristic, complemented
119#5222C2211yescharacteristic, complemented
120#5221C2211yescharacteristic, complemented
121#5221C2211yescharacteristic, complemented
122#5221C2211yescharacteristic, complemented
123#5220C2211yescharacteristic
124#5220C2211yescharacteristic
125#5220C2211yescharacteristic, complemented
126#5220C2211yescharacteristic, complemented
127#5220C2211yescharacteristic, complemented
128#5220C2211yescharacteristic, complemented
129#5220C2211yescharacteristic, complemented
130#5220C2211yescharacteristic, complemented
131#5213C2211yescharacteristic
132#5210C2211yescharacteristic, complemented
133C2×C3⋊#95C2211yescharacteristic, complemented
134#4991C2211yescharacteristic, complemented
135#4989C2211yescharacteristic, complemented
136#4982C2211yescharacteristic, complemented
137#4976C2211yescharacteristic, complemented
138#4961C2211yescharacteristic, complemented
139#4960C2211yescharacteristic, complemented
140#4960C2211yescharacteristic, complemented
141#4960C2211yescharacteristic, complemented
142#4959C2211yescharacteristic, complemented
143#4959C2211yescharacteristic, complemented
144#4959C2211yescharacteristic, complemented
145#4959C2211yescharacteristic, complemented
146#4959C2211yescharacteristic, complemented
147#4958C2211yescharacteristic
148#4957C2211yescharacteristic, complemented
149#4957C2211yescharacteristic, complemented
150#4957C2211yescharacteristic, complemented
151#4956C2211yescharacteristic, complemented
152#4956C2211yescharacteristic, complemented
153#4956C2211yescharacteristic, complemented
154#4955C2211yescharacteristic
155#4955C2211yescharacteristic, complemented
156#4953C2211yescharacteristic, complemented
157#4952C2211yescharacteristic, complemented
158#4952C2211yescharacteristic, complemented
159#4952C2211yescharacteristic, complemented
160#4949C2211yescharacteristic, complemented
161#4949C2211yescharacteristic, complemented
162#4948C2211yescharacteristic, complemented
163#4948C2211yescharacteristic, complemented
164#4947C2211yescharacteristic, complemented
165#4946C2211yescharacteristic, complemented
166#4945C2211yescharacteristic, complemented
167#4945C2211yescharacteristic, complemented
168#4945C2211yescharacteristic, complemented
169#4945C2211yescharacteristic, complemented
170#4943C2211yescharacteristic, complemented
171#4942C2211yescharacteristic, complemented
172#4942C2211yescharacteristic, complemented
173#4942C2211yescharacteristic, complemented
174Dic3×C22⋊C4C2211yescharacteristic, complemented
175#4940C2211yescharacteristic, complemented
176#4940C2211yescharacteristic, complemented
177#4940C2211yescharacteristic, complemented
178#4940C2211yescharacteristic, complemented
179C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
180#4936C2211yescharacteristic, complemented
181#4929C2211yescharacteristic, complemented
182#4674C2211yescharacteristic, complemented
183#4673C2211yescharacteristic, complemented
184#4669C2211yescharacteristic, complemented
185#4669C2211yescharacteristic, complemented
186#4667C2211yescharacteristic, complemented
187#4664C2211yescharacteristic, complemented
188#4659C2211yescharacteristic, complemented
189#4659C2211yescharacteristic, 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#2433D311yescharacteristic, complemented
211#2431—31no—
212#2425—31no—
213#2424—31no—
214#2414—31no—
215#2412—31no—
216#2410—31no—
217#2410—31no—
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
237C22×C3×D4C2311yescharacteristic
238C22×C3×D4C2311yescharacteristic
239C22×C3×D4C2311yescharacteristic
240C22×C3×D4C2311yescharacteristic
241C22×C3×D4C2311yescharacteristic
242C22×C3×D4C2311yescharacteristic
243C23×C3×C4C2311yescharacteristic
244C22×#67—24no—
245C22×#67—24no—
246C22×#67—42no—
247C22×#67—42no—
248C22×#67—42no—
249C22×#67—42no—
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
266C22×#67C2311yescharacteristic
267C23×Dic3C2311yescharacteristic
268C23×Dic3C2311yescharacteristic
269C23×Dic3C2311yescharacteristic
270C23×Dic3C2311yescharacteristic
271C23×Dic3C2311yescharacteristic
272C23×Dic3C2311yescharacteristic
273C2×#237—24no—
274C2×#237—42no—
275C2×#237—42no—
276C2×D3×D4—24no—
277C2×D3×D4—42no—
278C2×D3×D4—42no—
279C22×D12C2311yescharacteristic
280C22×C4×D3C2311yescharacteristic
281C22×C4×D3C2311yescharacteristic
282C22×C4×D3C2311yescharacteristic
283C22×Dic6C2311yescharacteristic
284C3×#127—42no—
285C3×#127—42no—
286C3×#121—42no—
287C3×#120—24no—
288C3×#120—24no—
289C3×#120—42no—
290C3×#120—42no—
291C2×C3×C4⋊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×C42C2311yescharacteristic
305C2×C3×C42C2311yescharacteristic
306#953—24no—
307#953—42no—
308C2×#217—24no—
309C2×#217—42no—
310C2×#217—42no—
311C2×#217C2311yescharacteristic
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
335C2×#217C2311yescharacteristic
336C2×#217C2311yescharacteristic
337C2×#217C2311yescharacteristic
338C2×#217C2311yescharacteristic
339C2×#217C2311yescharacteristic
340C2×#217C2311yescharacteristic
341C2×#217C2311yescharacteristic
342#939—24no—
343#939—24no—
344#939—42no—
345#939—42no—
346#939—42no—
347#939—42no—
348#938—24no—
349#938—24no—
350#938—24no—
351#937—24no—
352#937—24no—
353#937—24no—
354#937—42no—
355#937—42no—
356#937—42no—
357#936—42no—
358#935—24no—
359#935—42no—
360D4×Dic3—24no—
361C2×(C2×D3)⋊C4—42no—
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×(C2×D3)⋊C4C2311yescharacteristic
376C2×(C2×D3)⋊C4C2311yescharacteristic
377C2×(C2×D3)⋊C4C2311yescharacteristic
378C2×(C2×D3)⋊C4C2311yescharacteristic
379C2×(C2×D3)⋊C4C2311yescharacteristic
380C2×(C2×D3)⋊C4C2311yescharacteristic
381C2×C4⋊Dic3C2311yescharacteristic
382C2×C4⋊Dic3C2311yescharacteristic
383C2×C4⋊Dic3C2311yescharacteristic
384C2×C4⋊Dic3C2311yescharacteristic
385C2×Dic3⋊C4C2311yescharacteristic
386C2×Dic3⋊C4C2311yescharacteristic
387C2×Dic3⋊C4C2311yescharacteristic
388C2×Dic3⋊C4C2311yescharacteristic
389C2×Dic3⋊C4C2311yescharacteristic
390C2×Dic3⋊C4C2311yescharacteristic
391C2×Dic3⋊C4C2311yescharacteristic
392C2×Dic3⋊C4C2311yescharacteristic
393C2×Dic3⋊C4C2311yescharacteristic
394C2×Dic3⋊C4C2311yescharacteristic
395C2×Dic3⋊C4C2311yescharacteristic
396C2×C4×Dic3C2311yescharacteristic
397C2×C4×Dic3C2311yescharacteristic
398C2×C4×Dic3C2311yescharacteristic
399#886—24no—
400#886—24no—
401#885—24no—
402#884—24no—
403#884—24no—
404#883—24no—
405#883—24no—
406#883—24no—
407#67⋊C4—24no—
408D3×C22⋊C4D418yescomplemented
409#878—24no—
410#872—42no—
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×#127C2×D311yescharacteristic, complemented
443C2×#127C2×D311yescharacteristic, complemented
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×#121—31no—
465C2×#121C2×D311yescharacteristic
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×#120C2×D311yescharacteristic
475C2×#120C2×D311yescharacteristic
476C2×#120C2×D311yescharacteristic, complemented
477C2×#120C2×D311yescharacteristic, complemented
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⋊C4—31no—
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#394—31no—
512#394—31no—
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#392C2×D311yescharacteristic, complemented
539#392C2×D311yescharacteristic, complemented
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#390C2×D311yescharacteristic, complemented
550#390C2×D311yescharacteristic, complemented
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#386—31no—
573#386—31no—
574#386—31no—
575#385—31no—
576#385—31no—
577#385—31no—
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#379—31no—
588C4×C22⋊C4—31no—
589C4×C22⋊C4—31no—
590C4×C22⋊C4C2×D311yescharacteristic, complemented
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
612C24×C3C2411yescharacteristic
613C23×D3—22no—
614C23×D3—22no—
615C23×D3—22no—
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×D3—41no—
626C23×D3C2×D414yes—
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—22no—
641C2×C3×D4—22no—
642C2×C3×D4—22no—
643C2×C3×D4—22no—
644C2×C3×D4—22no—
645C2×C3×D4—22no—
646C2×C3×D4—22no—
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—41no—
658C2×C3×D4—41no—
659C2×C3×D4—41no—
660C2×C3×D4—41no—
661C2×C3×D4—41no—
662C2×C3×D4—41no—
663C2×C3×D4—41no—
664C2×C3×D4—41no—
665C2×C3×D4—41no—
666C2×C3×D4—41no—
667C2×C3×D4—41no—
668C2×C3×D4—41no—
669C2×C3×D4—41no—
670C2×C3×D4—41no—
671C2×C3×D4—41no—
672C2×C3×D4—41no—
673C2×C3×D4—41no—
674C2×C3×D4—41no—
675C2×C3×D4—416no—
676C22×C3×C4—22no—
677C22×C3×C4—22no—
678C22×C3×C4—41no—
679C22×C3×C4C2411yescharacteristic
680C22×C3×C4C2411yescharacteristic
681C22×C3×C4C2411yescharacteristic
682C22×C3×C4C2411yescharacteristic
683C22×C3×C4C2411yescharacteristic
684C22×C3×C4C2411yescharacteristic
685C22×C3×C4C2411yescharacteristic
686C22×C3×C4C2411yescharacteristic
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—22no—
702C2×#67—22no—
703C2×#67—22no—
704C2×#67—22no—
705C2×#67—22no—
706C2×#67—22no—
707C2×#67—22no—
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—41no—
737C2×#67—41no—
738C2×#67—416no—
739C2×#67—416no—
740C22×Dic3—22no—
741C22×Dic3—22no—
742C22×Dic3—22no—
743C22×Dic3—22no—
744C22×Dic3—22no—
745C22×Dic3—22no—
746C22×Dic3—22no—
747C22×Dic3—22no—
748C22×Dic3—22no—
749C22×Dic3—22no—
750C22×Dic3—22no—
751C22×Dic3—41no—
752C22×Dic3—41no—
753C22×Dic3—41no—
754C22×Dic3—41no—
755C22×Dic3—41no—
756C22×Dic3—41no—
757C22×Dic3—41no—
758C22×Dic3C2411yescharacteristic
759C22×Dic3C2411yescharacteristic
760C22×Dic3C2411yescharacteristic
761C22×Dic3C2411yescharacteristic
762C22×Dic3C2411yescharacteristic
763C22×Dic3C2411yescharacteristic
764C22×Dic3C2411yescharacteristic
765C22×Dic3C2411yescharacteristic
766C22×Dic3C2411yescharacteristic
767C22×Dic3C2411yescharacteristic
768C22×Dic3C2411yescharacteristic
769C22×Dic3C2411yescharacteristic
770C22×Dic3C2411yescharacteristic
771#237—416no—
772D3×D4—416no—
773C2×D12—22no—
774C2×D12—41no—
775C2×D12—41no—
776C2×C4×D3—22no—
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—41no—
789C3×C22⋊C4—22no—
790C3×C22⋊C4—22no—
791C3×C22⋊C4—22no—
792C3×C22⋊C4—22no—
793C3×C22⋊C4—22no—
794C3×C22⋊C4—41no—
795C3×C22⋊C4—41no—
796C3×C22⋊C4—41no—
797C3×C22⋊C4—41no—
798C3×C22⋊C4—41no—
799C3×C22⋊C4—41no—
800C3×C22⋊C4C2×D414yes—
801C3×C42—22no—
802C3×C42—41no—
803#217—22no—
804#217—22no—
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#217—41no—
828#217—41no—
829#217—41no—
830#217—41no—
831#217—41no—
832#217—41no—
833#217C2×D414yes—
834(C2×D3)⋊C4—22no—
835(C2×D3)⋊C4—22no—
836(C2×D3)⋊C4—22no—
837(C2×D3)⋊C4—22no—
838(C2×D3)⋊C4—22no—
839(C2×D3)⋊C4—22no—
840(C2×D3)⋊C4—22no—
841(C2×D3)⋊C4—22no—
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)⋊C4—41no—
851(C2×D3)⋊C4C2×D414yescomplemented
852(C2×D3)⋊C4C2×D414yescomplemented
853C4⋊Dic3—22no—
854C4⋊Dic3—22no—
855C4⋊Dic3—22no—
856C4⋊Dic3—22no—
857Dic3⋊C4—22no—
858Dic3⋊C4—22no—
859Dic3⋊C4—22no—
860Dic3⋊C4—22no—
861Dic3⋊C4—22no—
862Dic3⋊C4—41no—
863Dic3⋊C4—41no—
864Dic3⋊C4—41no—
865Dic3⋊C4—41no—
866Dic3⋊C4—41no—
867Dic3⋊C4—41no—
868C4×Dic3—22no—
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—42no—
898C22×D4—42no—
899C22×D4—42no—
900C22×D4—64no—
901C22×D4—64no—
902C22×D4—64no—
903C22×D4—122no—
904C22×D4—122no—
905C22×D4—122no—
906C22×D4—122no—
907C22×D4—122no—
908C22×D4—122no—
909C22×D4C22×D311yescharacteristic
910C22×D4C22×D311yescharacteristic
911C22×D4C22×D311yescharacteristic
912C22×D4C22×D311yescharacteristic
913C22×D4C22×D311yescharacteristic
914C22×D4C22×D311yescharacteristic
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×C4—31no—
932C23×C4—31no—
933C23×C4C22×D311yescharacteristic
934#127—42no—
935#127—42no—
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—64no—
948#121—64no—
949#121—64no—
950#121—64no—
951#121—64no—
952#121—64no—
953#121—64no—
954#121—122no—
955#121—122no—
956#121—122no—
957#121—122no—
958#120—24no—
959#120—24no—
960#120—42no—
961#120—42no—
962#120—64no—
963#120—64no—
964#120—64no—
965#120—64no—
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⋊C4—31no—
988C2×C4⋊C4C22×D311yescharacteristic
989C2×C22⋊C4—31no—
990C2×C22⋊C4—31no—
991C2×C22⋊C4—31no—
992C2×C22⋊C4—38no—
993C2×C22⋊C4—31no—
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—31no—
1039C2×C22⋊C4—31no—
1040C2×C22⋊C4—64no—
1041C2×C22⋊C4—122no—
1042C2×C22⋊C4—122no—
1043C2×C22⋊C4—122no—
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×C42C22×D311yescharacteristic
1060C2×C42C22×D311yescharacteristic
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#95—31no—
1082#95—31no—
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—21no—
1124C23×C3—21no—
1125C23×C3—21no—
1126C23×C3—21no—
1127C23×C3—21no—
1128C23×C3—21no—
1129C23×C3—21no—
1130C23×C3—44no—
1131C23×C3—44no—
1132C23×C3—44no—
1133C23×C3—44no—
1134C23×C3—44no—
1135C23×C3—44no—
1136C23×C3—44no—
1137C23×C3—82no—
1138C23×C3—82no—
1139C23×C3—82no—
1140C23×C3—82no—
1141C23×C3—82no—
1142C23×C3—82no—
1143C23×C3—82no—
1144C23×C3C22×D412yes—
1145C23×C3H(5,𝔽2)12yes—
1146C23×C3H(5,𝔽2)12yes—
1147C23×C3H(5,𝔽2)12yes—
1148C23×C3C2511yescharacteristic
1149C22×D3—21no—
1150C22×D3—21no—
1151C22×D3—21no—
1152C22×D3—21no—
1153C22×D3—21no—
1154C22×D3—21no—
1155C22×D3—21no—
1156C22×D3—21no—
1157C22×D3—21no—
1158C22×D3—21no—
1159C22×D3—21no—
1160C22×D3—21no—
1161C22×D3—28no—
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—44no—
1190C3×D4—44no—
1191C3×D4—82no—
1192C3×D4—82no—
1193C3×D4—82no—
1194C3×D4—82no—
1195C3×D4—82no—
1196C3×D4—82no—
1197C3×D4—82no—
1198C3×D4—82no—
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—21no—
1218C2×C3×C4—21no—
1219C2×C3×C4—21no—
1220C2×C3×C4—44no—
1221C2×C3×C4C22×D412yes—
1222C2×C3×C4C22×D412yes—
1223C2×C3×C4H(5,𝔽2)12yes—
1224#67—28no—
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—
1241C2×Dic3—21no—
1242C2×Dic3—21no—
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—21no—
1277C2×Dic3—44no—
1278C2×Dic3—44no—
1279C2×Dic3—44no—
1280C2×Dic3—44no—
1281C2×Dic3—82no—
1282C2×Dic3—82no—
1283C2×Dic3C22×D412yes—
1284C2×Dic3C22×D412yes—
1285C2×Dic3H(5,𝔽2)12yes—
1286D12—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—41no—
1303C24—41no—
1304C24—41no—
1305C24—41no—
1306C24—41no—
1307C24—41no—
1308C24—41no—
1309C24—62no—
1310C24—62no—
1311C24—62no—
1312C24—121no—
1313C24—121no—
1314C24—121no—
1315C24—121no—
1316C24—121no—
1317C24—121no—
1318C24—121no—
1319C24—121no—
1320C24—121no—
1321C24—121no—
1322C24C23×D311yescharacteristic
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—22no—
1344C2×D4—22no—
1345C2×D4—22no—
1346C2×D4—22no—
1347C2×D4—22no—
1348C2×D4—22no—
1349C2×D4—22no—
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—41no—
1361C2×D4—41no—
1362C2×D4—41no—
1363C2×D4—41no—
1364C2×D4—41no—
1365C2×D4—41no—
1366C2×D4—41no—
1367C2×D4—41no—
1368C2×D4—41no—
1369C2×D4—41no—
1370C2×D4—41no—
1371C2×D4—41no—
1372C2×D4—41no—
1373C2×D4—41no—
1374C2×D4—41no—
1375C2×D4—41no—
1376C2×D4—41no—
1377C2×D4—41no—
1378C2×D4—416no—
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—62no—
1391C2×D4—62no—
1392C2×D4—62no—
1393C2×D4—62no—
1394C2×D4—62no—
1395C2×D4—62no—
1396C2×D4—62no—
1397C2×D4—62no—
1398C2×D4—62no—
1399C2×D4—62no—
1400C2×D4—62no—
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—31no—
1439C22×C4—31no—
1440C22×C4—31no—
1441C22×C4—34no—
1442C22×C4—34no—
1443C22×C4—31no—
1444C22×C4—31no—
1445C22×C4—31no—
1446C22×C4—31no—
1447C22×C4—31no—
1448C22×C4—31no—
1449C22×C4—31no—
1450C22×C4—31no—
1451C22×C4—31no—
1452C22×C4—31no—
1453C22×C4—41no—
1454C22×C4—62no—
1455C22×C4—62no—
1456C22×C4—62no—
1457C22×C4—62no—
1458C22×C4—62no—
1459C22×C4—62no—
1460C22×C4—62no—
1461C22×C4—62no—
1462C22×C4—62no—
1463C22×C4—62no—
1464C22×C4—62no—
1465C22×C4—62no—
1466C22×C4—121no—
1467C22×C4—121no—
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×C4—121no—
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—41no—
1488C4⋊C4—62no—
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—34no—
1509C22⋊C4—34no—
1510C22⋊C4—34no—
1511C22⋊C4—41no—
1512C22⋊C4—41no—
1513C22⋊C4—41no—
1514C22⋊C4—41no—
1515C22⋊C4—41no—
1516C22⋊C4—41no—
1517C22⋊C4—62no—
1518C22⋊C4—62no—
1519C22⋊C4—62no—
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—121no—
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—22no—
1566C42—41no—
1567C42—62no—
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—41no—
1612C22×C3—41no—
1613C22×C3—41no—
1614C22×C3—41no—
1615C22×C3—41no—
1616C22×C3—41no—
1617C22×C3—41no—
1618C22×C3—88no—
1619C22×C3—88no—
1620C22×C3#53514yes—
1621C22×C3C23×D411yescharacteristic
1622C22×C3C2×H(5,𝔽2)11yescharacteristic
1623C22×C3C2×H(5,𝔽2)11yescharacteristic
1624C22×C3C2×H(5,𝔽2)11yescharacteristic
1625C22×C3C2×H(5,𝔽2)11yescharacteristic
1626C22×C3C2×H(5,𝔽2)11yescharacteristic
1627C22×C3#58511yescharacteristic
1628C2×D3—22no—
1629C2×D3—22no—
1630C2×D3—22no—
1631C2×D3—22no—
1632C2×D3—22no—
1633C2×D3—22no—
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—
1659Dic3—22no—
1660Dic3—22no—
1661Dic3—22no—
1662Dic3—41no—
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—21no—
1711C23—21no—
1712C23—21no—
1713C23—21no—
1714C23—21no—
1715C23—21no—
1716C23—21no—
1717C23—32no—
1718C23—32no—
1719C23—44no—
1720C23—44no—
1721C23—44no—
1722C23—44no—
1723C23—44no—
1724C23—44no—
1725C23—44no—
1726C23—61no—
1727C23—61no—
1728C23—61no—
1729C23—61no—
1730C23—61no—
1731C23—61no—
1732C23—61no—
1733C23—61no—
1734C23—61no—
1735C23—61no—
1736C23—61no—
1737C23—61no—
1738C23—68no—
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#100412yes—
1770C23C24×D311yescharacteristic
1771Q8—124no—
1772D4—44no—
1773D4—44no—
1774D4—44no—
1775D4—44no—
1776D4—44no—
1777D4—44no—
1778D4—44no—
1779D4—68no—
1780D4—82no—
1781D4—82no—
1782D4—82no—
1783D4—82no—
1784D4—82no—
1785D4—82no—
1786D4—82no—
1787D4—82no—
1788D4—124no—
1789D4—124no—
1790D4—124no—
1791D4—124no—
1792D4—124no—
1793D4—124no—
1794D4—124no—
1795D4—124no—
1796D4—124no—
1797D4—124no—
1798D4—124no—
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—32no—
1827C2×C4—32no—
1828C2×C4—32no—
1829C2×C4—44no—
1830C2×C4—61no—
1831C2×C4—61no—
1832C2×C4—61no—
1833C2×C4—61no—
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—124no—
1867C2×C4—124no—
1868C2×C4—124no—
1869C2×C4—124no—
1870C2×C4—124no—
1871C2×C4—124no—
1872C2×C4—124no—
1873C2×C4—242no—
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×C3—81no—
1885C2×C3C2×#53511yescharacteristic
1886C2×C3#348411yescharacteristic
1887C2×C3#349611yescharacteristic
1888C2×C3#353211yescharacteristic
1889C2×C3#353411yescharacteristic
1890C2×C3#354211yescharacteristic
1891C2×C3#354311yescharacteristic
1892D3—42no—
1893D3—42no—
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—41no—
1937C22—41no—
1938C22—41no—
1939C22—41no—
1940C22—41no—
1941C22—41no—
1942C22—41no—
1943C22—62no—
1944C22—62no—
1945C22—62no—
1946C22—62no—
1947C22—62no—
1948C22—62no—
1949C22—88no—
1950C22—88no—
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#571514yes—
1969C22C22×D3×D411yescharacteristic
1970C22C2×#100411yescharacteristic
1971C22C2×#100411yescharacteristic
1972C22C2×#100411yescharacteristic
1973C22C2×#100411yescharacteristic
1974C22D3×H(5,𝔽2)11yescharacteristic
1975C22#596611yescharacteristic
1976C4—22no—
1977C4—22no—
1978C4—22no—
1979C4—41no—
1980C4—41no—
1981C4—41no—
1982C4—41no—
1983C4—41no—
1984C4—62no—
1985C4—62no—
1986C4—62no—
1987C4—121no—
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—81no—
2005C2—122no—
2006C2—122no—
2007C2—241no—
2008C2#8592111yescharacteristic
2009C2C2×#571511yescharacteristic
2010C2#8632311yescharacteristic
2011C2#8661311yescharacteristic
2012C2#8661611yescharacteristic
2013C2#8662011yescharacteristic
2014C2#8662111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2433C2
hypercenter#2433D3
hypocenterC3#40485
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2433

Complements

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

NH ≅ G/Ntype
1. C2×#5591C2semidirect
2. C2×#5589C2semidirect
3. C3×#2433C2semidirect
4. C2×#5223C2semidirect
5. #84048C2semidirect
6. #83190C2semidirect
7. #83190C2semidirect
8. #83189C2semidirect
9. #83187C2semidirect
10. #82702C2semidirect
11. #82645C2semidirect
12. #82607C2semidirect
13. #82604C2semidirect
14. #82591C2semidirect
15. #82589C2semidirect
16. #82587C2semidirect
17. #82584C2semidirect
18. #76775C2semidirect
19. #76772C2semidirect
20. #76766C2semidirect
21. #76742C2semidirect
22. #76721C2semidirect
23. #76721C2semidirect
24. #76703C2semidirect
25. #76697C2semidirect
26. #76470C2semidirect
27. #76460C2semidirect
28. #76390C2semidirect
29. #76311C2semidirect
30. #73574C2semidirect
31. #73504C2semidirect
33. C23×C3×D4C22semidirect
36. C22×#237C22semidirect
38. C2×C3×#127C22semidirect
39. C2×C3×#127C22semidirect
43. C2×C3×#120C22semidirect
44. C2×C3×#120C22semidirect
47. C22×#217C22semidirect
48. C22×#217C22semidirect
49. C22×#217C22semidirect
51. C2×#939C22semidirect
52. C2×#939C22semidirect
53. C2×#939C22semidirect
54. C2×#939C22semidirect
55. C2×#939C22semidirect
56. C2×#938C22semidirect
57. C2×#938C22semidirect
58. C2×#938C22semidirect
60. C2×#937C22semidirect
61. C2×#937C22semidirect
62. C2×#937C22semidirect
63. C2×#937C22semidirect
64. C2×#937C22semidirect
65. C2×#936C22semidirect
67. C2×#935C22semidirect
68. C2×D4×Dic3C22semidirect
73. C2×#886C22semidirect
74. C2×#885C22semidirect
75. C2×#884C22semidirect
76. C2×#884C22semidirect
77. C2×#883C22semidirect
78. C2×#883C22semidirect
79. C2×#883C22semidirect
80. C2×#67⋊C4C22semidirect
82. C2×#878C22semidirect
83. C2×#872C22semidirect
84. C3×#392C22semidirect
85. C3×#392C22semidirect
86. C3×#392C22semidirect
87. C3×#392C22semidirect
88. C3×#390C22semidirect
89. C3×#390C22semidirect
90. C3×C4×C22⋊C4C22semidirect
91. #5247C22semidirect
96. #5223C22semidirect
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. #5223C22semidirect
111. #5223C22semidirect
112. #5222C22semidirect
113. #5222C22semidirect
114. #5222C22semidirect
115. #5222C22semidirect
116. #5222C22semidirect
117. #5222C22semidirect
118. #5222C22semidirect
119. #5222C22semidirect
120. #5221C22semidirect
121. #5221C22semidirect
122. #5221C22semidirect
125. #5220C22semidirect
126. #5220C22semidirect
127. #5220C22semidirect
128. #5220C22semidirect
129. #5220C22semidirect
130. #5220C22semidirect
132. #5210C22semidirect
133. C2×C3⋊#95C22semidirect
134. #4991C22semidirect
135. #4989C22semidirect
136. #4982C22semidirect
137. #4976C22semidirect
138. #4961C22semidirect
139. #4960C22semidirect
140. #4960C22semidirect
141. #4960C22semidirect
142. #4959C22semidirect
143. #4959C22semidirect
144. #4959C22semidirect
145. #4959C22semidirect
146. #4959C22semidirect
148. #4957C22semidirect
149. #4957C22semidirect
150. #4957C22semidirect
151. #4956C22semidirect
152. #4956C22semidirect
153. #4956C22semidirect
155. #4955C22semidirect
156. #4953C22semidirect
157. #4952C22semidirect
158. #4952C22semidirect
159. #4952C22semidirect
160. #4949C22semidirect
161. #4949C22semidirect
162. #4948C22semidirect
163. #4948C22semidirect
164. #4947C22semidirect
165. #4946C22semidirect
166. #4945C22semidirect
167. #4945C22semidirect
168. #4945C22semidirect
169. #4945C22semidirect
170. #4943C22semidirect
171. #4942C22semidirect
172. #4942C22semidirect
173. #4942C22semidirect
174. Dic3×C22⋊C4C22semidirect
175. #4940C22semidirect
176. #4940C22semidirect
177. #4940C22semidirect
178. #4940C22semidirect
179. C4×(C2×D3)⋊C4C22semidirect
180. #4936C22semidirect
181. #4929C22semidirect
182. #4674C22semidirect
183. #4673C22semidirect
184. #4669C22semidirect
185. #4669C22semidirect
186. #4667C22semidirect
187. #4664C22semidirect
188. #4659C22semidirect
189. #4659C22semidirect
210. #2433D3semidirect
408. D3×C22⋊C4D4semidirect
439. C23×D4C2×D3semidirect
442. C2×#127C2×D3semidirect
443. C2×#127C2×D3semidirect
476. C2×#120C2×D3semidirect
477. C2×#120C2×D3semidirect
538. #392C2×D3semidirect
539. #392C2×D3semidirect
540. #392C2×D3semidirect
541. #392C2×D3semidirect
549. #390C2×D3semidirect
550. #390C2×D3semidirect
590. C4×C22⋊C4C2×D3semidirect
783. C2×C4×D3C2×D4semidirect
784. C2×C4×D3C2×D4semidirect
851. (C2×D3)⋊C4C2×D4semidirect
852. (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×#55912
C2×#55892
C3×#24332
C2×#52232
#840482
#831902
#831892
#831872
#827022
#826452
#826072
#826042
#825912
#825892
#825872
#825842
#767752
#767722
#767662
#767422
#767212
#767032
#766972
#764702
#764602
#763902
#763112
#735742
#735042
#404853