Finite Group Databasebeta

← #11097437

Subgroups — #11097437

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×#5804C211yesmaximal, characteristic, complemented
2C2×#5806C211yesmaximal, characteristic, complemented
3C2×C3×#392C211yesmaximal, characteristic, complemented
4#84054C211yesmaximal, characteristic, complemented
5#84052C211yesmaximal, characteristic, complemented
6#84049C211yesmaximal, characteristic, complemented
7#84048C211yesmaximal, characteristic, complemented
8#82127C211yesmaximal, characteristic, complemented
9#82115C211yesmaximal, characteristic, complemented
10#82111C211yesmaximal, characteristic, complemented
11#82109C211yesmaximal, characteristic, complemented
12#82107C211yesmaximal, characteristic, complemented
13#82098C211yesmaximal, characteristic, complemented
14#76771C211yesmaximal, characteristic, complemented
15#76766C211yesmaximal, characteristic, complemented
16#76765C211yesmaximal, characteristic, complemented
17#76764C211yesmaximal, characteristic, complemented
18#76743C211yesmaximal, characteristic, complemented
19#76741C211yesmaximal, characteristic, complemented
20#76726C211yesmaximal, characteristic, complemented
21#76725C211yesmaximal, characteristic, complemented
22#76723C211yesmaximal, characteristic, complemented
23#76722C211yesmaximal, characteristic, complemented
24#76707C211yesmaximal, characteristic, complemented
25#76702C211yesmaximal, characteristic, complemented
26#76698C211yesmaximal, characteristic, complemented
27#76697C211yesmaximal, characteristic, complemented
28#76672C211yesmaximal, characteristic, complemented
29#76670C211yesmaximal, characteristic, complemented
30#73352C211yesmaximal, characteristic, complemented
31#73349C211yesmaximal, characteristic, complemented
32#40485—31nomaximal, Sylow
33C23×C3×D4C2211yescharacteristic
34C23×C3×D4C2211yescharacteristic
35C23×C3×D4C2211yescharacteristic, complemented
36C23×#67C2211yescharacteristic
37C22×#237C2211yescharacteristic, complemented
38C22×C3×C22⋊C4C2211yescharacteristic
39C22×C3×C22⋊C4C2211yescharacteristic, complemented
40C22×C3×C22⋊C4C2211yescharacteristic, complemented
41C2×#953C2211yescharacteristic
42C2×#953C2211yescharacteristic
43C2×#953C2211yescharacteristic
44C2×#953C2211yescharacteristic
45C2×#953C2211yescharacteristic
46C2×#953C2211yescharacteristic, complemented
47C2×#953C2211yescharacteristic, complemented
48C22×#217C2211yescharacteristic
49C22×#217C2211yescharacteristic, complemented
50#5806—28no—
51#5804—28no—
52C2×#940C2211yescharacteristic, complemented
53C2×#940C2211yescharacteristic, complemented
54C2×#939C2211yescharacteristic, complemented
55C2×#939C2211yescharacteristic, complemented
56C2×#939C2211yescharacteristic, complemented
57C2×#939C2211yescharacteristic, complemented
58C2×#939C2211yescharacteristic, complemented
59C2×#939C2211yescharacteristic, complemented
60C2×#939C2211yescharacteristic, complemented
61C2×#939C2211yescharacteristic, complemented
62C2×#938C2211yescharacteristic, complemented
63C2×#937C2211yescharacteristic, complemented
64C2×#937C2211yescharacteristic, complemented
65C2×#937C2211yescharacteristic, complemented
66C2×#937C2211yescharacteristic, complemented
67C2×#936C2211yescharacteristic, complemented
68C2×#935C2211yescharacteristic, complemented
69C2×#935C2211yescharacteristic, complemented
70C2×#935C2211yescharacteristic, complemented
71C2×#935C2211yescharacteristic, complemented
72C2×D4×Dic3C2211yescharacteristic, complemented
73C2×#930C2211yescharacteristic
74C2×#930C2211yescharacteristic
75C2×#929C2211yescharacteristic
76C2×#929C2211yescharacteristic
77C2×#929C2211yescharacteristic, complemented
78C2×C4×#67C2211yescharacteristic, complemented
79C2×#924C2211yescharacteristic, complemented
80C2×#885C2211yescharacteristic, complemented
81C2×#884C2211yescharacteristic, complemented
82C2×#882C2211yescharacteristic, complemented
83C2×#877C2211yescharacteristic, complemented
84C3×#392C2211yescharacteristic
85C3×#392C2211yescharacteristic
86C3×#392C2211yescharacteristic
87C3×#392C2211yescharacteristic
88C3×#392C2211yescharacteristic, complemented
89C3×#392C2211yescharacteristic, complemented
90C3×#392C2211yescharacteristic, complemented
91C3×#392C2211yescharacteristic, complemented
92C2×C3×#95C2211yescharacteristic, complemented
93#5247C2211yescharacteristic
94#5247C2211yescharacteristic, complemented
95#5223C2211yescharacteristic, complemented
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#5222C2211yescharacteristic, complemented
110#5222C2211yescharacteristic, complemented
111#5222C2211yescharacteristic, complemented
112#5222C2211yescharacteristic, complemented
113#5222C2211yescharacteristic, complemented
114#5222C2211yescharacteristic, complemented
115#5221C2211yescharacteristic, complemented
116#5221C2211yescharacteristic, complemented
117#5220C2211yescharacteristic, complemented
118#5220C2211yescharacteristic, complemented
119#5220C2211yescharacteristic, complemented
120#5220C2211yescharacteristic, complemented
121#5213C2211yescharacteristic
122#5213C2211yescharacteristic
123#5213C2211yescharacteristic
124#5213C2211yescharacteristic
125#5211C2211yescharacteristic, complemented
126#5210C2211yescharacteristic, complemented
127#5210C2211yescharacteristic, complemented
128C4×#217C2211yescharacteristic, complemented
129C4×#217C2211yescharacteristic, complemented
130#4961C2211yescharacteristic, complemented
131#4961C2211yescharacteristic, complemented
132#4961C2211yescharacteristic, complemented
133#4960C2211yescharacteristic, complemented
134#4960C2211yescharacteristic, complemented
135#4960C2211yescharacteristic, complemented
136#4960C2211yescharacteristic, complemented
137#4960C2211yescharacteristic, complemented
138#4959C2211yescharacteristic, complemented
139#4959C2211yescharacteristic, complemented
140#4959C2211yescharacteristic, complemented
141#4959C2211yescharacteristic, complemented
142#4959C2211yescharacteristic, complemented
143#4958C2211yescharacteristic, complemented
144#4958C2211yescharacteristic, complemented
145#4958C2211yescharacteristic, complemented
146#4957C2211yescharacteristic, complemented
147#4957C2211yescharacteristic, complemented
148#4957C2211yescharacteristic, complemented
149#4957C2211yescharacteristic, complemented
150#4957C2211yescharacteristic, complemented
151#4957C2211yescharacteristic, complemented
152#4956C2211yescharacteristic, complemented
153#4955C2211yescharacteristic, complemented
154#4952C2211yescharacteristic, complemented
155#4952C2211yescharacteristic, complemented
156#4952C2211yescharacteristic, complemented
157#4951C2211yescharacteristic, complemented
158#4951C2211yescharacteristic, complemented
159#4950C2211yescharacteristic, complemented
160#4949C2211yescharacteristic, complemented
161#4949C2211yescharacteristic, complemented
162#4948C2211yescharacteristic, complemented
163#4947C2211yescharacteristic, complemented
164#4945C2211yescharacteristic, complemented
165#4945C2211yescharacteristic, complemented
166#4944C2211yescharacteristic, complemented
167#4944C2211yescharacteristic, complemented
168#4944C2211yescharacteristic, complemented
169#4943C2211yescharacteristic, complemented
170#4942C2211yescharacteristic, complemented
171#4942C2211yescharacteristic, complemented
172#4942C2211yescharacteristic, complemented
173Dic3×C22⋊C4C2211yescharacteristic, complemented
174#4676C2211yescharacteristic, complemented
175#4675C2211yescharacteristic, complemented
176#4675C2211yescharacteristic, complemented
177#4673C2211yescharacteristic, complemented
178#4672C2211yescharacteristic, complemented
179#4670C2211yescharacteristic, complemented
180#4669C2211yescharacteristic, complemented
181#4669C2211yescharacteristic, complemented
182#4667C2211yescharacteristic, complemented
183#4665C2211yescharacteristic, complemented
184#4660C2211yescharacteristic, complemented
185#4658C2211yescharacteristic, complemented
186#4657C2211yescharacteristic, complemented
187#4650C2211yescharacteristic, complemented
188#4647C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#546—31no—
191C2×#534—31no—
192#2815—31no—
193#2813—31no—
194#2710—31no—
195#2706—31no—
196#2703—31no—
197#2703—31no—
198#2678—31no—
199#2670—31no—
200#2669—31no—
201#2669—31no—
202#2661—31no—
203#2635—31no—
204#2619—31no—
205#2615—31no—
206#2613—31no—
207#2539—31no—
208#2488—31no—
209#2472—31no—
210#2433—31no—
211#2431—31no—
212#2425—31no—
213#2424—31no—
214#2414—31no—
215#2412—31no—
216#2410—31no—
217#2410—31no—
218#2403—31no—
219C2×#392D311yescharacteristic, complemented
220#2342—31no—
221C25×C3C2311yescharacteristic
222C25×C3C2311yescharacteristic
223C25×C3C2311yescharacteristic
224C24×D3C2311yescharacteristic
225C22×C3×D4—24no—
226C22×C3×D4—24no—
227C22×C3×D4—42no—
228C22×C3×D4—42no—
229C22×C3×D4—42no—
230C22×C3×D4—42no—
231C22×C3×D4—42no—
232C22×C3×D4—42no—
233C22×C3×D4—42no—
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
243C22×C3×D4C2311yescharacteristic
244C22×C3×D4C2311yescharacteristic
245C22×C3×D4C2311yescharacteristic
246C23×C3×C4C2311yescharacteristic
247C23×C3×C4C2311yescharacteristic
248C23×C3×C4C2311yescharacteristic
249C23×C3×C4C2311yescharacteristic
250C22×#67—24no—
251C22×#67—42no—
252C22×#67—42no—
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
267C22×#67C2311yescharacteristic
268C22×#67C2311yescharacteristic
269C22×#67C2311yescharacteristic
270C22×#67C2311yescharacteristic
271C22×#67C2311yescharacteristic
272C23×Dic3C2311yescharacteristic
273C23×Dic3C2311yescharacteristic
274C23×Dic3C2311yescharacteristic
275C23×Dic3C2311yescharacteristic
276C23×Dic3C2311yescharacteristic
277C2×#237—24no—
278C2×#237—42no—
279C2×#237—42no—
280C22×D12C2311yescharacteristic
281C22×D12C2311yescharacteristic
282C22×C4×D3C2311yescharacteristic
283C22×Dic6C2311yescharacteristic
284C2×C3×C22⋊C4—42no—
285C2×C3×C22⋊C4—42no—
286C2×C3×C22⋊C4—42no—
287C2×C3×C22⋊C4C2311yescharacteristic
288C2×C3×C22⋊C4C2311yescharacteristic
289C2×C3×C22⋊C4C2311yescharacteristic
290C2×C3×C22⋊C4C2311yescharacteristic
291C2×C3×C22⋊C4C2311yescharacteristic
292C2×C3×C22⋊C4C2311yescharacteristic
293C2×C3×C22⋊C4C2311yescharacteristic
294C2×C3×C22⋊C4C2311yescharacteristic
295C2×C3×C22⋊C4C2311yescharacteristic
296C2×C3×C22⋊C4C2311yescharacteristic
297C2×C3×C22⋊C4C2311yescharacteristic
298C2×C3×C22⋊C4C2311yescharacteristic
299#953—24no—
300#953—24no—
301#953—24no—
302#953—24no—
303#953—42no—
304#953—42no—
305#953—42no—
306C2×#217—24no—
307C2×#217D418yescomplemented
308C2×#217C2311yescharacteristic
309C2×#217C2311yescharacteristic
310C2×#217C2311yescharacteristic
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
339#940—42no—
340#940—42no—
341#939—24no—
342#939—24no—
343#939—24no—
344#939—24no—
345#939—24no—
346#939—24no—
347#939—42no—
348#939—42no—
349#938—24no—
350#937—24no—
351#937—24no—
352#937—42no—
353#937—42no—
354#936—24no—
355#935—24no—
356#935—24no—
357#935—24no—
358#935—24no—
359D4×Dic3—24no—
360#930—42no—
361#930—42no—
362#929—24no—
363#929—24no—
364#929—42no—
365C4×#67—24no—
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×(C2×D3)⋊C4C2311yescharacteristic
382C2×(C2×D3)⋊C4C2311yescharacteristic
383C2×(C2×D3)⋊C4C2311yescharacteristic
384C2×(C2×D3)⋊C4C2311yescharacteristic
385C2×C4⋊Dic3C2311yescharacteristic
386C2×C4⋊Dic3C2311yescharacteristic
387C2×C4⋊Dic3C2311yescharacteristic
388#924—24no—
389C2×Dic3⋊C4C2311yescharacteristic
390C2×Dic3⋊C4C2311yescharacteristic
391C2×Dic3⋊C4C2311yescharacteristic
392C2×Dic3⋊C4C2311yescharacteristic
393C2×Dic3⋊C4C2311yescharacteristic
394C2×Dic3⋊C4C2311yescharacteristic
395C2×Dic3⋊C4C2311yescharacteristic
396C2×Dic3⋊C4C2311yescharacteristic
397C2×Dic3⋊C4C2311yescharacteristic
398C2×Dic3⋊C4C2311yescharacteristic
399C2×Dic3⋊C4C2311yescharacteristic
400C2×Dic3⋊C4C2311yescharacteristic
401C2×Dic3⋊C4C2311yescharacteristic
402C2×C4×Dic3C2311yescharacteristic
403C2×C4×Dic3C2311yescharacteristic
404C2×C4×Dic3C2311yescharacteristic
405C2×C4×Dic3C2311yescharacteristic
406C2×C4×Dic3C2311yescharacteristic
407#885—42no—
408#884—42no—
409#882—42no—
410#877—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×D4C2×D311yescharacteristic
438C23×D4C2×D311yescharacteristic
439C23×D4C2×D311yescharacteristic, complemented
440#546—68no—
441#534—68no—
442C2×#127—31no—
443C2×#127—31no—
444C2×#124—31no—
445C2×#124—31no—
446C2×#123—31no—
447C2×#123—31no—
448C2×#123—31no—
449C2×#123—31no—
450C2×#123—31no—
451C2×#123—31no—
452C2×#123—31no—
453C2×C22⋊Q8—31no—
454C2×#121—31no—
455C2×#121—31no—
456C2×#121—31no—
457C2×#121—31no—
458C2×#121—31no—
459C2×#121—31no—
460C2×#121—31no—
461C2×#121—31no—
462C2×#121—31no—
463C2×#121—31no—
464C2×#121—31no—
465C2×#121—31no—
466C2×#120—31no—
467C2×#120—31no—
468C2×#120—31no—
469C2×#120—31no—
470C2×#120—31no—
471C2×#120—31no—
472C2×#120—31no—
473C2×#120—31no—
474C2×#120—31no—
475C2×#120—31no—
476C2×#120—31no—
477C2×#120—31no—
478C2×C4×D4—31no—
479C2×C4×D4—31no—
480C2×#117—31no—
481C22×C22⋊C4—31no—
482C22×C22⋊C4—31no—
483C22×C22⋊C4C2×D311yescharacteristic
484C22×C22⋊C4C2×D311yescharacteristic, complemented
485C22×C22⋊C4C2×D311yescharacteristic, complemented
486#400—31no—
487#400—31no—
488#399—31no—
489#399—31no—
490#398—31no—
491#397—31no—
492#397—31no—
493#397—31no—
494#397—31no—
495#397—31no—
496#396—31no—
497#396—31no—
498#394—31no—
499#394—31no—
500#394—31no—
501#394—31no—
502#394—31no—
503#394—31no—
504#394—31no—
505#394—31no—
506#394—31no—
507#394—31no—
508#394—31no—
509#394—31no—
510#394—31no—
511#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#392C2×D311yescharacteristic
535#392C2×D311yescharacteristic
536#392C2×D311yescharacteristic
537#392C2×D311yescharacteristic
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#390—31no—
550#390—31no—
551#389—31no—
552#388—31no—
553#388—31no—
554#388—31no—
555#388—31no—
556#388—31no—
557#388—31no—
558#388—31no—
559#388—31no—
560#388—31no—
561#388—31no—
562#386—31no—
563#386—31no—
564#386—31no—
565#386—31no—
566#386—31no—
567#386—31no—
568#386—31no—
569#386—31no—
570#386—31no—
571#386—31no—
572#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⋊C4—31no—
591C2×#95C2×D311yescharacteristic, complemented
592C24×C3—22no—
593C24×C3—22no—
594C24×C3—22no—
595C24×C3—22no—
596C24×C3—22no—
597C24×C3—22no—
598C24×C3—22no—
599C24×C3—22no—
600C24×C3—22no—
601C24×C3—41no—
602C24×C3—41no—
603C24×C3—41no—
604C24×C3—41no—
605C24×C3—41no—
606C24×C3—41no—
607C24×C3—41no—
608C24×C3—41no—
609C24×C3—41no—
610C24×C3—41no—
611C24×C3—41no—
612C24×C3C2×D414yes—
613C24×C3C2411yescharacteristic
614C24×C3C2411yescharacteristic
615C24×C3C2411yescharacteristic
616C24×C3C2411yescharacteristic
617C24×C3C2411yescharacteristic
618C24×C3C2411yescharacteristic
619C24×C3C2411yescharacteristic
620C23×D3—22no—
621C23×D3—41no—
622C23×D3—41no—
623C23×D3—41no—
624C23×D3—41no—
625C23×D3—41no—
626C23×D3—41no—
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—41no—
647C2×C3×D4—41no—
648C2×C3×D4—41no—
649C2×C3×D4—41no—
650C2×C3×D4—41no—
651C2×C3×D4—41no—
652C2×C3×D4—41no—
653C2×C3×D4—41no—
654C2×C3×D4—41no—
655C2×C3×D4—41no—
656C2×C3×D4—41no—
657C2×C3×D4—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—416no—
667C2×C3×D4—416no—
668C2×C3×D4—416no—
669C22×C3×C4—22no—
670C22×C3×C4—22no—
671C22×C3×C4—22no—
672C22×C3×C4—22no—
673C22×C3×C4—22no—
674C22×C3×C4—22no—
675C22×C3×C4—22no—
676C22×C3×C4—22no—
677C22×C3×C4—41no—
678C22×C3×C4—41no—
679C22×C3×C4—41no—
680C22×C3×C4—41no—
681C22×C3×C4C2411yescharacteristic
682C22×C3×C4C2411yescharacteristic
683C22×C3×C4C2411yescharacteristic
684C22×C3×C4C2411yescharacteristic
685C22×C3×C4C2411yescharacteristic
686C22×C3×C4C2411yescharacteristic
687C22×C3×C4C2411yescharacteristic
688C22×C3×C4C2411yescharacteristic
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—22no—
709C2×#67—22no—
710C2×#67—22no—
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—41no—
739C2×#67—41no—
740C2×#67—41no—
741C2×#67—41no—
742C2×#67—41no—
743C2×#67—41no—
744C2×#67—41no—
745C2×#67—41no—
746C2×#67—416no—
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×Dic3—41no—
759C22×Dic3—41no—
760C22×Dic3C2×D414yescomplemented
761C22×Dic3C2×D414yescomplemented
762C22×Dic3C2411yescharacteristic
763C22×Dic3C2411yescharacteristic
764C22×Dic3C2411yescharacteristic
765C22×Dic3C2411yescharacteristic
766C22×Dic3C2411yescharacteristic
767C22×Dic3C2411yescharacteristic
768C22×Dic3C2411yescharacteristic
769C22×Dic3C2411yescharacteristic
770C22×Dic3C2411yescharacteristic
771C22×Dic3C2411yescharacteristic
772C22×Dic3C2411yescharacteristic
773C22×Dic3C2411yescharacteristic
774C22×Dic3C2411yescharacteristic
775#237—416no—
776C2×D12—22no—
777C2×D12—41no—
778C2×D12—41no—
779C2×D12—41no—
780C2×D12—41no—
781C2×D12—41no—
782C2×C4×D3—22no—
783C2×C4×D3—22no—
784C2×C4×D3—41no—
785C2×Dic6—22no—
786C2×Dic6—22no—
787C2×Dic6—41no—
788C3×C22⋊C4—22no—
789C3×C22⋊C4—22no—
790C3×C22⋊C4—22no—
791C3×C22⋊C4—22no—
792C3×C22⋊C4—41no—
793C3×C22⋊C4—41no—
794C3×C22⋊C4—41no—
795C3×C22⋊C4—41no—
796C3×C22⋊C4—41no—
797C3×C22⋊C4—41no—
798C3×C22⋊C4—41no—
799C3×C22⋊C4—41no—
800#217—22no—
801#217—22no—
802#217—22no—
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—41no—
814#217—41no—
815#217—41no—
816#217—41no—
817#217—41no—
818#217—41no—
819#217—41no—
820#217—41no—
821#217—41no—
822#217—41no—
823#217—41no—
824#217—41no—
825#217—41no—
826#217—41no—
827#217C2×D414yes—
828#217C2×D414yes—
829#217C2×D414yescomplemented
830#217C2×D414yescomplemented
831(C2×D3)⋊C4—22no—
832(C2×D3)⋊C4—22no—
833(C2×D3)⋊C4—22no—
834(C2×D3)⋊C4—22no—
835(C2×D3)⋊C4—22no—
836(C2×D3)⋊C4—22no—
837(C2×D3)⋊C4—22no—
838(C2×D3)⋊C4—22no—
839(C2×D3)⋊C4—41no—
840(C2×D3)⋊C4—41no—
841(C2×D3)⋊C4—41no—
842(C2×D3)⋊C4—41no—
843(C2×D3)⋊C4—41no—
844(C2×D3)⋊C4—41no—
845(C2×D3)⋊C4—41no—
846(C2×D3)⋊C4—41no—
847(C2×D3)⋊C4—41no—
848(C2×D3)⋊C4—41no—
849(C2×D3)⋊C4—41no—
850C4⋊Dic3—22no—
851C4⋊Dic3—41no—
852C4⋊Dic3—41no—
853Dic3⋊C4—22no—
854Dic3⋊C4—22no—
855Dic3⋊C4—22no—
856Dic3⋊C4—22no—
857Dic3⋊C4—22no—
858Dic3⋊C4—22no—
859Dic3⋊C4—22no—
860Dic3⋊C4—22no—
861Dic3⋊C4—41no—
862Dic3⋊C4—41no—
863Dic3⋊C4—41no—
864Dic3⋊C4—41no—
865Dic3⋊C4—41no—
866C4×Dic3—22no—
867C4×Dic3—22no—
868C4×Dic3—41no—
869C4×Dic3—41no—
870C4×Dic3—41no—
871C25—31no—
872C25C22×D311yescharacteristic
873C25C22×D311yescharacteristic
874C25C22×D311yescharacteristic
875C2×#41—64no—
876C2×#41—122no—
877C2×#41—122no—
878C22×Q8—31no—
879C22×D4—24no—
880C22×D4—24no—
881C22×D4—31no—
882C22×D4—31no—
883C22×D4—31no—
884C22×D4—31no—
885C22×D4—31no—
886C22×D4—31no—
887C22×D4—31no—
888C22×D4—31no—
889C22×D4—31no—
890C22×D4—31no—
891C22×D4—31no—
892C22×D4—31no—
893C22×D4—31no—
894C22×D4—31no—
895C22×D4—31no—
896C22×D4—31no—
897C22×D4—31no—
898C22×D4—31no—
899C22×D4—31no—
900C22×D4—31no—
901C22×D4—31no—
902C22×D4—42no—
903C22×D4—42no—
904C22×D4—42no—
905C22×D4—42no—
906C22×D4—42no—
907C22×D4—42no—
908C22×D4—42no—
909C22×D4—64no—
910C22×D4—122no—
911C22×D4—122no—
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×C4C22×D311yescharacteristic
931C23×C4C22×D311yescharacteristic
932C23×C4C22×D311yescharacteristic
933C23×C4C22×D311yescharacteristic
934#127—122no—
935#127—122no—
936#124—64no—
937#124—122no—
938#123—64no—
939#123—64no—
940#123—64no—
941#123—64no—
942#123—64no—
943#123—64no—
944#123—122no—
945C22⋊Q8—64no—
946#121—64no—
947#121—64no—
948#121—64no—
949#121—64no—
950#121—64no—
951#121—64no—
952#121—64no—
953#121—122no—
954#121—122no—
955#121—122no—
956#121—122no—
957#121—122no—
958#120—64no—
959#120—64no—
960#120—64no—
961#120—64no—
962#120—64no—
963#120—64no—
964#120—122no—
965#120—122no—
966#120—122no—
967#120—122no—
968#120—122no—
969#120—122no—
970C4×D4—64no—
971C4×D4—64no—
972#117—122no—
973C2×C4⋊C4—31no—
974C2×C4⋊C4—31no—
975C2×C4⋊C4—31no—
976C2×C4⋊C4—31no—
977C2×C4⋊C4—31no—
978C2×C4⋊C4—31no—
979C2×C4⋊C4—31no—
980C2×C4⋊C4—31no—
981C2×C4⋊C4—31no—
982C2×C4⋊C4—31no—
983C2×C4⋊C4—31no—
984C2×C4⋊C4—31no—
985C2×C4⋊C4—31no—
986C2×C4⋊C4—31no—
987C2×C4⋊C4—31no—
988C2×C4⋊C4—31no—
989C2×C22⋊C4—38no—
990C2×C22⋊C4—31no—
991C2×C22⋊C4—31no—
992C2×C22⋊C4—31no—
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—42no—
1041C2×C22⋊C4—42no—
1042C2×C22⋊C4—42no—
1043C2×C22⋊C4—64no—
1044C2×C22⋊C4C22×D311yescharacteristic
1045C2×C22⋊C4C22×D311yescharacteristic
1046C2×C22⋊C4C22×D311yescharacteristic
1047C2×C22⋊C4C22×D311yescharacteristic
1048C2×C22⋊C4C22×D311yescharacteristic
1049C2×C22⋊C4C22×D311yescharacteristic
1050C2×C22⋊C4C22×D311yescharacteristic
1051C2×C22⋊C4C22×D311yescharacteristic
1052C2×C22⋊C4C22×D311yescharacteristic
1053C2×C22⋊C4C22×D311yescharacteristic
1054C2×C22⋊C4C22×D311yescharacteristic
1055C2×C22⋊C4C22×D311yescharacteristic
1056C2×C42—31no—
1057C2×C42—31no—
1058C2×C42—31no—
1059C2×C42—31no—
1060C2×C42—31no—
1061#95—31no—
1062#95—31no—
1063#95—31no—
1064#95—31no—
1065#95—31no—
1066#95—31no—
1067#95—31no—
1068#95—31no—
1069#95—31no—
1070#95—31no—
1071#95—31no—
1072#95—31no—
1073#95—31no—
1074#95—31no—
1075#95—31no—
1076#95—31no—
1077#95—31no—
1078#95—31no—
1079#95—31no—
1080#95—31no—
1081#95C22×D311yescharacteristic
1082#95C22×D311yescharacteristic
1083#95C22×D311yescharacteristic
1084#95C22×D311yescharacteristic
1085C23×C3—21no—
1086C23×C3—21no—
1087C23×C3—21no—
1088C23×C3—21no—
1089C23×C3—21no—
1090C23×C3—21no—
1091C23×C3—21no—
1092C23×C3—21no—
1093C23×C3—21no—
1094C23×C3—21no—
1095C23×C3—21no—
1096C23×C3—21no—
1097C23×C3—21no—
1098C23×C3—21no—
1099C23×C3—21no—
1100C23×C3—21no—
1101C23×C3—21no—
1102C23×C3—21no—
1103C23×C3—21no—
1104C23×C3—21no—
1105C23×C3—21no—
1106C23×C3—21no—
1107C23×C3—28no—
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—44no—
1130C23×C3—44no—
1131C23×C3—44no—
1132C23×C3—44no—
1133C23×C3—44no—
1134C23×C3—44no—
1135C23×C3—44no—
1136C23×C3—44no—
1137C23×C3—44no—
1138C23×C3—82no—
1139C23×C3—82no—
1140C23×C3—82no—
1141C23×C3—82no—
1142C23×C3—82no—
1143C23×C3—82no—
1144C23×C3—82no—
1145C23×C3—82no—
1146C23×C3—82no—
1147C23×C3—82no—
1148C23×C3—82no—
1149C23×C3C22×D412yes—
1150C23×C3C22×D412yes—
1151C23×C3C22×D412yes—
1152C23×C3H(5,𝔽2)12yes—
1153C23×C3H(5,𝔽2)12yes—
1154C23×C3H(5,𝔽2)12yes—
1155C23×C3C2511yescharacteristic
1156C22×D3—21no—
1157C22×D3—21no—
1158C22×D3—21no—
1159C22×D3—21no—
1160C22×D3—21no—
1161C22×D3—21no—
1162C22×D3—21no—
1163C22×D3—21no—
1164C22×D3—21no—
1165C22×D3—21no—
1166C22×D3—21no—
1167C22×D3—21no—
1168C22×D3—21no—
1169C22×D3—21no—
1170C22×D3—21no—
1171C22×D3—21no—
1172C22×D3—21no—
1173C22×D3—21no—
1174C22×D3—21no—
1175C22×D3—21no—
1176C22×D3—21no—
1177C22×D3—44no—
1178C22×D3—82no—
1179C22×D3—82no—
1180C22×D3—82no—
1181C22×D3—82no—
1182C22×D3—82no—
1183C22×D3—82no—
1184C3×D4—28no—
1185C3×D4—44no—
1186C3×D4—44no—
1187C3×D4—44no—
1188C3×D4—44no—
1189C3×D4—44no—
1190C3×D4—44no—
1191C3×D4—44no—
1192C3×D4—44no—
1193C3×D4—44no—
1194C3×D4—44no—
1195C3×D4—44no—
1196C2×C3×C4—21no—
1197C2×C3×C4—21no—
1198C2×C3×C4—21no—
1199C2×C3×C4—21no—
1200C2×C3×C4—21no—
1201C2×C3×C4—21no—
1202C2×C3×C4—21no—
1203C2×C3×C4—21no—
1204C2×C3×C4—21no—
1205C2×C3×C4—21no—
1206C2×C3×C4—21no—
1207C2×C3×C4—21no—
1208C2×C3×C4—21no—
1209C2×C3×C4—21no—
1210C2×C3×C4—21no—
1211C2×C3×C4—21no—
1212C2×C3×C4—21no—
1213C2×C3×C4—21no—
1214C2×C3×C4—21no—
1215C2×C3×C4—21no—
1216C2×C3×C4—21no—
1217C2×C3×C4—21no—
1218C2×C3×C4—44no—
1219C2×C3×C4—44no—
1220C2×C3×C4—44no—
1221C2×C3×C4—82no—
1222C2×C3×C4H(5,𝔽2)12yes—
1223C2×C3×C4H(5,𝔽2)12yes—
1224#67—44no—
1225#67—44no—
1226#67—44no—
1227#67—44no—
1228#67—44no—
1229#67—44no—
1230#67—44no—
1231#67—82no—
1232#67—82no—
1233#67—82no—
1234#67—82no—
1235#67—82no—
1236#67—82no—
1237#67—82no—
1238#67—82no—
1239#67—82no—
1240#67—82no—
1241#67—82no—
1242#67—82no—
1243C2×Dic3—21no—
1244C2×Dic3—21no—
1245C2×Dic3—21no—
1246C2×Dic3—21no—
1247C2×Dic3—21no—
1248C2×Dic3—21no—
1249C2×Dic3—21no—
1250C2×Dic3—21no—
1251C2×Dic3—21no—
1252C2×Dic3—21no—
1253C2×Dic3—21no—
1254C2×Dic3—21no—
1255C2×Dic3—21no—
1256C2×Dic3—21no—
1257C2×Dic3—21no—
1258C2×Dic3—21no—
1259C2×Dic3—21no—
1260C2×Dic3—21no—
1261C2×Dic3—21no—
1262C2×Dic3—21no—
1263C2×Dic3—21no—
1264C2×Dic3—21no—
1265C2×Dic3—21no—
1266C2×Dic3—21no—
1267C2×Dic3—21no—
1268C2×Dic3—21no—
1269C2×Dic3—21no—
1270C2×Dic3—21no—
1271C2×Dic3—21no—
1272C2×Dic3—21no—
1273C2×Dic3—21no—
1274C2×Dic3—21no—
1275C2×Dic3—21no—
1276C2×Dic3—21no—
1277C2×Dic3—21no—
1278C2×Dic3—44no—
1279C2×Dic3—44no—
1280C2×Dic3—44no—
1281C2×Dic3—44no—
1282C2×Dic3—82no—
1283C2×Dic3C22×D412yes—
1284C2×Dic3C22×D412yes—
1285C2×Dic3C22×D412yes—
1286C2×Dic3C22×D412yes—
1287D12—82no—
1288D12—82no—
1289C4×D3—44no—
1290Dic6—44no—
1291C24—22no—
1292C24—22no—
1293C24—22no—
1294C24—22no—
1295C24—22no—
1296C24—22no—
1297C24—22no—
1298C24—22no—
1299C24—22no—
1300C24—31no—
1301C24—31no—
1302C24—31no—
1303C24—41no—
1304C24—41no—
1305C24—41no—
1306C24—41no—
1307C24—41no—
1308C24—41no—
1309C24—41no—
1310C24—41no—
1311C24—41no—
1312C24—41no—
1313C24—41no—
1314C24—62no—
1315C24—121no—
1316C24—121no—
1317C24—121no—
1318C24—121no—
1319C24—121no—
1320C24—121no—
1321C24D3×D414yes—
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—41no—
1350C2×D4—41no—
1351C2×D4—41no—
1352C2×D4—41no—
1353C2×D4—41no—
1354C2×D4—41no—
1355C2×D4—41no—
1356C2×D4—41no—
1357C2×D4—41no—
1358C2×D4—41no—
1359C2×D4—41no—
1360C2×D4—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—416no—
1370C2×D4—416no—
1371C2×D4—416no—
1372C2×D4—62no—
1373C2×D4—62no—
1374C2×D4—62no—
1375C2×D4—62no—
1376C2×D4—62no—
1377C2×D4—62no—
1378C2×D4—62no—
1379C2×D4—62no—
1380C2×D4—62no—
1381C2×D4—62no—
1382C2×D4—62no—
1383C2×D4—62no—
1384C2×D4—62no—
1385C2×D4—62no—
1386C2×D4—62no—
1387C2×D4—62no—
1388C2×D4—62no—
1389C2×D4—62no—
1390C2×D4—62no—
1391C2×D4—62no—
1392C2×D4—62no—
1393C2×D4—62no—
1394C2×D4—62no—
1395C2×D4—121no—
1396C2×D4—121no—
1397C2×D4—121no—
1398C2×D4—121no—
1399C2×D4—121no—
1400C2×D4—121no—
1401C2×D4—121no—
1402C2×D4—121no—
1403C2×D4—121no—
1404C2×D4—121no—
1405C2×D4—121no—
1406C2×D4—121no—
1407C2×D4—121no—
1408C2×D4—121no—
1409C2×D4—121no—
1410C2×D4—121no—
1411C2×D4—121no—
1412C2×D4—121no—
1413C2×D4—121no—
1414C2×D4—121no—
1415C2×D4—121no—
1416C2×D4—121no—
1417C2×D4—121no—
1418C2×D4—121no—
1419C2×D4—121no—
1420C2×D4—121no—
1421C2×D4—121no—
1422C2×D4—121no—
1423C2×D4—121no—
1424C2×D4—121no—
1425C2×D4—121no—
1426C2×D4—121no—
1427C2×D4—121no—
1428C2×D4—121no—
1429C2×D4—121no—
1430C2×D4—121no—
1431C2×D4—121no—
1432C2×D4—121no—
1433C2×D4—121no—
1434C2×D4—121no—
1435C2×D4—1216no—
1436C22×C4—22no—
1437C22×C4—22no—
1438C22×C4—22no—
1439C22×C4—22no—
1440C22×C4—22no—
1441C22×C4—22no—
1442C22×C4—22no—
1443C22×C4—22no—
1444C22×C4—31no—
1445C22×C4—31no—
1446C22×C4—31no—
1447C22×C4—31no—
1448C22×C4—34no—
1449C22×C4—34no—
1450C22×C4—31no—
1451C22×C4—31no—
1452C22×C4—31no—
1453C22×C4—31no—
1454C22×C4—31no—
1455C22×C4—31no—
1456C22×C4—31no—
1457C22×C4—31no—
1458C22×C4—31no—
1459C22×C4—41no—
1460C22×C4—41no—
1461C22×C4—41no—
1462C22×C4—41no—
1463C22×C4—62no—
1464C22×C4—62no—
1465C22×C4—62no—
1466C22×C4—62no—
1467C22×C4—62no—
1468C22×C4—62no—
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—62no—
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—121no—
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—34no—
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—41no—
1518C22⋊C4—41no—
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—62no—
1538C22⋊C4—62no—
1539C22⋊C4—62no—
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⋊C4—121no—
1565C42—62no—
1566C42—62no—
1567C42—121no—
1568C42—121no—
1569C42—121no—
1570C22×C3—22no—
1571C22×C3—22no—
1572C22×C3—22no—
1573C22×C3—22no—
1574C22×C3—22no—
1575C22×C3—22no—
1576C22×C3—22no—
1577C22×C3—22no—
1578C22×C3—22no—
1579C22×C3—22no—
1580C22×C3—22no—
1581C22×C3—22no—
1582C22×C3—22no—
1583C22×C3—22no—
1584C22×C3—22no—
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—88no—
1621C22×C3#53514yes—
1622C22×C3C23×D411yescharacteristic
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×C3C2×H(5,𝔽2)11yescharacteristic
1628C22×C3#58511yescharacteristic
1629C2×D3—41no—
1630C2×D3—41no—
1631C2×D3—41no—
1632C2×D3—41no—
1633C2×D3—41no—
1634C2×D3—41no—
1635C2×D3—41no—
1636C2×D3—41no—
1637C2×D3—41no—
1638C2×D3—41no—
1639C2×D3—41no—
1640C2×D3—41no—
1641C2×D3—41no—
1642C2×D3—41no—
1643C2×D3—41no—
1644C2×D3—41no—
1645C2×D3—41no—
1646C2×D3—41no—
1647C2×D3—41no—
1648C2×D3—41no—
1649C2×D3—41no—
1650C2×D3—88no—
1651C3×C4—22no—
1652C3×C4—22no—
1653C3×C4—41no—
1654C3×C4—41no—
1655C3×C4—41no—
1656C3×C4—41no—
1657C3×C4—41no—
1658C3×C4—41no—
1659Dic3—22no—
1660Dic3—22no—
1661Dic3—22no—
1662Dic3—22no—
1663Dic3—41no—
1664Dic3—41no—
1665Dic3—41no—
1666Dic3—41no—
1667Dic3—41no—
1668Dic3—41no—
1669Dic3—41no—
1670Dic3—41no—
1671Dic3—41no—
1672C23—21no—
1673C23—21no—
1674C23—21no—
1675C23—21no—
1676C23—21no—
1677C23—21no—
1678C23—21no—
1679C23—21no—
1680C23—21no—
1681C23—21no—
1682C23—21no—
1683C23—21no—
1684C23—21no—
1685C23—21no—
1686C23—21no—
1687C23—21no—
1688C23—21no—
1689C23—21no—
1690C23—21no—
1691C23—21no—
1692C23—21no—
1693C23—21no—
1694C23—28no—
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—44no—
1717C23—44no—
1718C23—44no—
1719C23—44no—
1720C23—44no—
1721C23—44no—
1722C23—44no—
1723C23—44no—
1724C23—44no—
1725C23—61no—
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—61no—
1739C23—61no—
1740C23—61no—
1741C23—61no—
1742C23—61no—
1743C23—61no—
1744C23—61no—
1745C23—61no—
1746C23—82no—
1747C23—82no—
1748C23—82no—
1749C23—82no—
1750C23—82no—
1751C23—82no—
1752C23—82no—
1753C23—82no—
1754C23—82no—
1755C23—82no—
1756C23—82no—
1757C23—124no—
1758C23—242no—
1759C23—242no—
1760C23—242no—
1761C23—242no—
1762C23—242no—
1763C23—242no—
1764C23C2×D3×D412yes—
1765C23C2×D3×D412yes—
1766C23C2×D3×D412yes—
1767C23#100412yes—
1768C23#100412yes—
1769C23#100412yes—
1770C23C24×D311yescharacteristic
1771Q8—124no—
1772D4—28no—
1773D4—44no—
1774D4—44no—
1775D4—44no—
1776D4—44no—
1777D4—44no—
1778D4—44no—
1779D4—44no—
1780D4—44no—
1781D4—44no—
1782D4—44no—
1783D4—44no—
1784D4—124no—
1785D4—124no—
1786D4—124no—
1787D4—124no—
1788D4—124no—
1789D4—124no—
1790D4—124no—
1791D4—242no—
1792D4—242no—
1793D4—242no—
1794D4—242no—
1795D4—242no—
1796D4—242no—
1797D4—242no—
1798D4—242no—
1799D4—242no—
1800D4—242no—
1801D4—242no—
1802D4—242no—
1803D4—242no—
1804D4—242no—
1805C2×C4—21no—
1806C2×C4—21no—
1807C2×C4—21no—
1808C2×C4—21no—
1809C2×C4—21no—
1810C2×C4—21no—
1811C2×C4—21no—
1812C2×C4—21no—
1813C2×C4—21no—
1814C2×C4—21no—
1815C2×C4—21no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—21no—
1822C2×C4—21no—
1823C2×C4—21no—
1824C2×C4—21no—
1825C2×C4—21no—
1826C2×C4—21no—
1827C2×C4—32no—
1828C2×C4—32no—
1829C2×C4—32no—
1830C2×C4—32no—
1831C2×C4—44no—
1832C2×C4—44no—
1833C2×C4—44no—
1834C2×C4—61no—
1835C2×C4—61no—
1836C2×C4—61no—
1837C2×C4—61no—
1838C2×C4—61no—
1839C2×C4—61no—
1840C2×C4—61no—
1841C2×C4—61no—
1842C2×C4—61no—
1843C2×C4—61no—
1844C2×C4—61no—
1845C2×C4—61no—
1846C2×C4—61no—
1847C2×C4—61no—
1848C2×C4—61no—
1849C2×C4—61no—
1850C2×C4—61no—
1851C2×C4—61no—
1852C2×C4—61no—
1853C2×C4—61no—
1854C2×C4—61no—
1855C2×C4—61no—
1856C2×C4—61no—
1857C2×C4—61no—
1858C2×C4—61no—
1859C2×C4—61no—
1860C2×C4—61no—
1861C2×C4—61no—
1862C2×C4—61no—
1863C2×C4—61no—
1864C2×C4—61no—
1865C2×C4—61no—
1866C2×C4—61no—
1867C2×C4—61no—
1868C2×C4—61no—
1869C2×C4—82no—
1870C2×C4—124no—
1871C2×C4—124no—
1872C2×C4—124no—
1873C2×C4—124no—
1874C2×C4—124no—
1875C2×C4—242no—
1876C2×C4#100412yes—
1877C2×C4#100412yes—
1878C2×C3—24no—
1879C2×C3—42no—
1880C2×C3—42no—
1881C2×C3—42no—
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—81no—
1893D3—81no—
1894D3—81no—
1895C22—22no—
1896C22—22no—
1897C22—22no—
1898C22—22no—
1899C22—22no—
1900C22—22no—
1901C22—22no—
1902C22—22no—
1903C22—22no—
1904C22—22no—
1905C22—22no—
1906C22—22no—
1907C22—22no—
1908C22—22no—
1909C22—22no—
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—88no—
1944C22—88no—
1945C22—88no—
1946C22—121no—
1947C22—121no—
1948C22—121no—
1949C22—121no—
1950C22—121no—
1951C22—121no—
1952C22—121no—
1953C22—121no—
1954C22—121no—
1955C22—121no—
1956C22—121no—
1957C22—121no—
1958C22—121no—
1959C22—121no—
1960C22—121no—
1961C22—121no—
1962C22—121no—
1963C22—121no—
1964C22—121no—
1965C22—121no—
1966C22—121no—
1967C22—248no—
1968C22#559214yes—
1969C22C22×D3×D411yescharacteristic
1970C22C2×#100411yescharacteristic
1971C22C2×#100411yescharacteristic
1972C22C2×#100411yescharacteristic
1973C22C2×#100411yescharacteristic
1974C22C2×#100411yescharacteristic
1975C22#596411yescharacteristic
1976C4—22no—
1977C4—22no—
1978C4—41no—
1979C4—41no—
1980C4—41no—
1981C4—41no—
1982C4—41no—
1983C4—41no—
1984C4—62no—
1985C4—62no—
1986C4—62no—
1987C4—62no—
1988C4—121no—
1989C4—121no—
1990C4—121no—
1991C4—121no—
1992C4—121no—
1993C4—121no—
1994C4—121no—
1995C4—121no—
1996C4—121no—
1997C3#4048511yescharacteristic, complemented, Sylow
1998C2—24no—
1999C2—42no—
2000C2—42no—
2001C2—42no—
2002C2—81no—
2003C2—81no—
2004C2—81no—
2005C2—241no—
2006C2—241no—
2007C2—241no—
2008C2C2×#559211yescharacteristic
2009C2#8591911yescharacteristic
2010C2#8592111yescharacteristic
2011C2#8595011yescharacteristic
2012C2#8595411yescharacteristic
2013C2#8595611yescharacteristic
2014C2#8619711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC2×C3×#392C2
hypercenterC2×#392D3
hypocenterC3#40485
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×#392

Complements

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

NH ≅ G/Ntype
1. C2×#5804C2semidirect
2. C2×#5806C2semidirect
3. C2×C3×#392C2semidirect
4. #84054C2semidirect
5. #84052C2semidirect
6. #84049C2semidirect
7. #84048C2semidirect
8. #82127C2semidirect
9. #82115C2semidirect
10. #82111C2semidirect
11. #82109C2semidirect
12. #82107C2semidirect
13. #82098C2semidirect
14. #76771C2semidirect
15. #76766C2semidirect
16. #76765C2semidirect
17. #76764C2semidirect
18. #76743C2semidirect
19. #76741C2semidirect
20. #76726C2semidirect
21. #76725C2semidirect
22. #76723C2semidirect
23. #76722C2semidirect
24. #76707C2semidirect
25. #76702C2semidirect
26. #76698C2semidirect
27. #76697C2semidirect
28. #76672C2semidirect
29. #76670C2semidirect
30. #73352C2semidirect
31. #73349C2semidirect
35. C23×C3×D4C22semidirect
37. C22×#237C22semidirect
39. C22×C3×C22⋊C4C22semidirect
40. C22×C3×C22⋊C4C22semidirect
46. C2×#953C22semidirect
47. C2×#953C22semidirect
49. C22×#217C22semidirect
52. C2×#940C22semidirect
53. C2×#940C22semidirect
54. C2×#939C22semidirect
55. C2×#939C22semidirect
56. C2×#939C22semidirect
57. C2×#939C22semidirect
58. C2×#939C22semidirect
59. C2×#939C22semidirect
60. C2×#939C22semidirect
61. C2×#939C22semidirect
62. C2×#938C22semidirect
63. C2×#937C22semidirect
64. C2×#937C22semidirect
65. C2×#937C22semidirect
66. C2×#937C22semidirect
67. C2×#936C22semidirect
68. C2×#935C22semidirect
69. C2×#935C22semidirect
70. C2×#935C22semidirect
71. C2×#935C22semidirect
72. C2×D4×Dic3C22semidirect
77. C2×#929C22semidirect
78. C2×C4×#67C22semidirect
79. C2×#924C22semidirect
80. C2×#885C22semidirect
81. C2×#884C22semidirect
82. C2×#882C22semidirect
83. C2×#877C22semidirect
88. C3×#392C22semidirect
89. C3×#392C22semidirect
90. C3×#392C22semidirect
91. C3×#392C22semidirect
92. C2×C3×#95C22semidirect
94. #5247C22semidirect
95. #5223C22semidirect
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. #5222C22semidirect
110. #5222C22semidirect
111. #5222C22semidirect
112. #5222C22semidirect
113. #5222C22semidirect
114. #5222C22semidirect
115. #5221C22semidirect
116. #5221C22semidirect
117. #5220C22semidirect
118. #5220C22semidirect
119. #5220C22semidirect
120. #5220C22semidirect
125. #5211C22semidirect
126. #5210C22semidirect
127. #5210C22semidirect
128. C4×#217C22semidirect
129. C4×#217C22semidirect
130. #4961C22semidirect
131. #4961C22semidirect
132. #4961C22semidirect
133. #4960C22semidirect
134. #4960C22semidirect
135. #4960C22semidirect
136. #4960C22semidirect
137. #4960C22semidirect
138. #4959C22semidirect
139. #4959C22semidirect
140. #4959C22semidirect
141. #4959C22semidirect
142. #4959C22semidirect
143. #4958C22semidirect
144. #4958C22semidirect
145. #4958C22semidirect
146. #4957C22semidirect
147. #4957C22semidirect
148. #4957C22semidirect
149. #4957C22semidirect
150. #4957C22semidirect
151. #4957C22semidirect
152. #4956C22semidirect
153. #4955C22semidirect
154. #4952C22semidirect
155. #4952C22semidirect
156. #4952C22semidirect
157. #4951C22semidirect
158. #4951C22semidirect
159. #4950C22semidirect
160. #4949C22semidirect
161. #4949C22semidirect
162. #4948C22semidirect
163. #4947C22semidirect
164. #4945C22semidirect
165. #4945C22semidirect
166. #4944C22semidirect
167. #4944C22semidirect
168. #4944C22semidirect
169. #4943C22semidirect
170. #4942C22semidirect
171. #4942C22semidirect
172. #4942C22semidirect
173. Dic3×C22⋊C4C22semidirect
174. #4676C22semidirect
175. #4675C22semidirect
176. #4675C22semidirect
177. #4673C22semidirect
178. #4672C22semidirect
179. #4670C22semidirect
180. #4669C22semidirect
181. #4669C22semidirect
182. #4667C22semidirect
183. #4665C22semidirect
184. #4660C22semidirect
185. #4658C22semidirect
186. #4657C22semidirect
187. #4650C22semidirect
188. #4647C22semidirect
189. #4646C22semidirect
219. C2×#392D3semidirect
307. C2×#217D4semidirect
439. C23×D4C2×D3semidirect
484. C22×C22⋊C4C2×D3semidirect
485. C22×C22⋊C4C2×D3semidirect
538. #392C2×D3semidirect
539. #392C2×D3semidirect
540. #392C2×D3semidirect
541. #392C2×D3semidirect
591. C2×#95C2×D3semidirect
760. C22×Dic3C2×D4semidirect
761. C22×Dic3C2×D4semidirect
829. #217C2×D4semidirect
830. #217C2×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×#58042
C2×#58062
C2×C3×#3922
#840542
#840522
#840492
#840482
#821272
#821152
#821112
#821092
#821072
#820982
#767712
#767662
#767652
#767642
#767432
#767412
#767262
#767252
#767232
#767222
#767072
#767022
#766982
#766972
#766722
#766702
#733522
#733492
#404853