Finite Group Databasebeta

← #15620312

Subgroups — #15620312

Order 2816.

5058 conjugacy classes of subgroups.

The subgroup lattice has 1652 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D11×H(5,𝔽2)C211yesmaximal, characteristic, complemented
2C2×#10623309C211yesmaximal, characteristic, complemented
3C2×#10623293C211yesmaximal, characteristic, complemented
4#13082294C211yesmaximal, characteristic, complemented
5#13077924C212yesmaximal, complemented
6#13077923C211yesmaximal, characteristic, complemented
7#13077921C212yesmaximal, complemented
8#13077920C211yesmaximal, characteristic, complemented
9#13077891C211yesmaximal, characteristic, complemented
10#13077890C212yesmaximal, complemented
11#13077888C212yesmaximal, complemented
12#13077873C212yesmaximal, complemented
13#13077872C211yesmaximal, characteristic, complemented
14#13077845C211yesmaximal, characteristic, complemented
15#13077844C212yesmaximal, complemented
16#13077837C212yesmaximal, complemented
17#13077836C211yesmaximal, characteristic, complemented
18C2×#10622782C211yesmaximal, characteristic, complemented
19D11×#450C212yesmaximal, complemented
20#13077141C211yesmaximal, characteristic, complemented
21#13077138C211yesmaximal, characteristic, complemented
22#13077064C211yesmaximal, characteristic, complemented
23C11×#3009C211yesmaximal, characteristic, complemented
24C2×C11×H(5,𝔽2)C2211yescharacteristic
25D11×H(5,𝔽2)—28no—
26D11×H(5,𝔽2)—28no—
27C2×#67042—21no—
28C2×#67042C2212yes—
29C2×#67042C2211yescharacteristic
30C2×#67042C2211yescharacteristic
31C2×#41×D11—21no—
32C2×#41×D11C2211yescharacteristic
33C2×#41×D11C2212yes—
34C2×#41×D11C2211yescharacteristic
35C2×#67040C2211yescharacteristic, complemented
36C2×#67037—22no—
37C2×#67037—21no—
38C2×#67037C2212yes—
39C2×#67037C2211yescharacteristic
40C22×D4×D11—22no—
41C22×D4×D11—21no—
42C22×D4×D11C2212yes—
43C22×D4×D11C2211yescharacteristic
44C2×C11×#137C2211yescharacteristic, complemented
45C22×C11×SD16C2211yescharacteristic, complemented
46C11×#536C2211yescharacteristic, complemented
47#10623364C2211yescharacteristic, complemented
48C2×#67003C2211yescharacteristic, complemented
49C2×#66999C2211yescharacteristic, complemented
50C2×#66995C2211yescharacteristic, complemented
51C22×#4325C2211yescharacteristic, complemented
52C2×#66985C2211yescharacteristic, complemented
53#10623309—28no—
54C2×#66972C2212yescomplemented
55C2×#66971C2212yescomplemented
56#10623293—28no—
57C2×#66969C2212yescomplemented
58C2×#66968C2212yescomplemented
59C2×#66967C2212yescomplemented
60C2×#66967C2212yescomplemented
61C2×SD16×D11C2212yescomplemented
62C2×SD16×D11C2212yescomplemented
63C2×#66961C2211yescharacteristic, complemented
64C2×#66960C2211yescharacteristic, complemented
65C2×#66957C2211yescharacteristic, complemented
66C2×#66954C2211yescharacteristic, complemented
67#10623258—21no—
68#10623257—21no—
69#10623208—21no—
70#10623207—21no—
71#10623186—22no—
72#10623185—22no—
73#10623160C2212yescomplemented
74#10623159C2212yescomplemented
75#10623158C2212yescomplemented
76D11×C22⋊Q8C2212yescomplemented
77#10623055C2211yescharacteristic, complemented
78#10623054C2211yescharacteristic, complemented
79C11×#452C2212yescomplemented
80C11×#452C2212yescomplemented
81C11×#450C2212yescomplemented
82C11×#450C2212yescomplemented
83C11×#418C2211yescharacteristic, complemented
84C11×#416C2211yescharacteristic, complemented
85C11×#408C2211yescharacteristic, complemented
86#10622852C2212yescomplemented
87#10622851C2212yescomplemented
88#10622847C2211yescharacteristic, complemented
89#10622845C2211yescharacteristic, complemented
90#10622831C2212yescomplemented
91#10622830C2212yescomplemented
92C2×#66896C2211yescharacteristic, complemented
93#10622800C2212yescomplemented
94#10622799C2212yescomplemented
95#10622786C2212yescomplemented
96#10622782C2212yescomplemented
97#10622782C2212yescomplemented
98#10622782C2212yescomplemented
99#10622782C2212yescomplemented
100#10622782C2212yescomplemented
101#10622746C2211yescharacteristic, complemented
102#10622739C2211yescharacteristic, complemented
103C2×#66885C2211yescharacteristic, complemented
104C2×(C2×D11)⋊C8C2211yescharacteristic, complemented
105#10622660C2212yescomplemented
106#10622660C2212yescomplemented
107#10622659C2212yescomplemented
108#10622659C2212yescomplemented
109#10622615C2211yescharacteristic, complemented
110#10622614C2211yescharacteristic, complemented
111#10622424C2211yescharacteristic, complemented
112#10622423C2211yescharacteristic, complemented
113#10622421C2211yescharacteristic, complemented
114#10622419C2211yescharacteristic, complemented
115#10622417C2212yescomplemented
116#10622416C2212yescomplemented
117#10622396C2211yescharacteristic, complemented
118#10622394C2211yescharacteristic, complemented
119#10622389C2211yescharacteristic, complemented
120#10622389C2212yescomplemented
121#10622389C2212yescomplemented
122#10622386C2211yescharacteristic, complemented
123#10622386C2212yescomplemented
124#10622386C2212yescomplemented
125#10622385C2212yescomplemented
126#10622384C2212yescomplemented
127#10622383C2212yescomplemented
128#10622383C2212yescomplemented
129D11×#102C2212yescomplemented
130D11×#102C2212yescomplemented
131#10622347C2212yescomplemented
132#10622346C2212yescomplemented
133#10622345C2212yescomplemented
134#10622344C2212yescomplemented
135#10622340C2212yescomplemented
136#10622340C2212yescomplemented
137#10622339C2212yescomplemented
138D11×C22⋊C8C2212yescomplemented
139C24×D11—22no—
140C24×D11—21no—
141C11×H(5,𝔽2)—24no—
142C11×H(5,𝔽2)—24no—
143C2×C11×#41—21no—
144C2×C11×#41C2312yes—
145C2×C11×#41C2311yescharacteristic
146C2×C11×#41C2311yescharacteristic
147C22×Q8×C11C2311yescharacteristic, complemented
148C22×D4×C11—21no—
149C22×D4×C11—22no—
150C22×D4×C11C2312yes—
151C22×D4×C11C2311yescharacteristic
152C22×C22⋊D11—22no—
153C22×C22⋊D11—22no—
154C22×C22⋊D11—22no—
155C22×C22⋊D11—22no—
156C22×C22⋊D11—21no—
157#67042—216no—
158#67042—28no—
159#67042—28no—
160#67042—24no—
161#67042—24no—
162#67042—24no—
163#67042D418yescomplemented
164#41×D11—216no—
165#41×D11—24no—
166#41×D11—28no—
167#41×D11—28no—
168#41×D11—24no—
169#41×D11—24no—
170#41×D11—24no—
171#67040—24no—
172#67040—24no—
173C2×#4343—21no—
174C2×#4343—21no—
175C2×#4343D411yescharacteristic
176C2×#4343C2311yescharacteristic
177C2×#4343C2312yes—
178C2×#4343C2312yescomplemented
179C2×Q8×D11—21no—
180C2×Q8×D11D411yescharacteristic
181C2×Q8×D11C2311yescharacteristic
182C2×Q8×D11C2312yescomplemented
183#67037—232no—
184#67037—216no—
185#67037—28no—
186#67037—28no—
187#67037—24no—
188#67037D418yescomplemented
189C2×#4341—22no—
190C2×#4341—21no—
191C2×#4341—22no—
192C2×#4341—21no—
193C2×#4341D412yes—
194C2×#4341D411yescharacteristic
195C2×#4341C2311yescharacteristic
196C2×#4341C2312yes—
197C2×D4×D11—232no—
198C2×D4×D11—216no—
199C2×D4×D11—22no—
200C2×D4×D11—21no—
201C2×D4×D11—21no—
202C2×D4×D11—22no—
203C2×D4×D11—24no—
204C2×D4×D11—22no—
205C2×D4×D11—22no—
206C2×D4×D11—22no—
207C2×D4×D11—28no—
208C2×D4×D11—28no—
209C2×D4×D11—22no—
210C2×D4×D11—21no—
211C2×D4×D11—24no—
212C2×D4×D11—21no—
213C2×D4×D11—22no—
214C2×D4×D11—21no—
215C2×D4×D11—22no—
216C2×D4×D11D412yes—
217C2×D4×D11D411yescharacteristic
218C2×D4×D11C2312yes—
219C2×D4×D11C2311yescharacteristic
220C2×D4×D11C2312yes—
221C2×D4×D11C2312yes—
222C2×D4×D11C2312yes—
223C2×#4339—22no—
224C2×#4339—21no—
225C2×#4339—22no—
226C2×#4339—22no—
227C2×#4339—21no—
228C2×#4339C2312yes—
229C2×#4339C2311yescharacteristic
230C2×#4339C2312yes—
231C2×#4339C2311yescharacteristic
232C2×#4339C2311yescharacteristic, complemented
233C22×D44—22no—
234C22×D44—21no—
235C22×D44C2312yes—
236C22×D44C2311yescharacteristic
237C22×C4×D11—21no—
238C22×C4×D11—22no—
239C22×C4×D11C2311yescharacteristic
240C22×C4×D11C2312yes—
241C11×#137—24no—
242C2×C11×Q16C2312yescomplemented
243C2×C11×SD16—24no—
244C2×C11×SD16C2312yescomplemented
245C2×C11×SD16C2312yescomplemented
246C2×C11×SD16C2312yescomplemented
247C2×C11×M16C2311yescharacteristic, complemented
248C22×C8×C11C2311yescharacteristic, complemented
249C11×C4⋊Q8—21no—
250C11×#124—21no—
251C11×#123—22no—
252C11×C22⋊Q8C2312yescomplemented
253C11×C22⋊Q8C2312yescomplemented
254C11×#117C2311yescharacteristic, complemented
255#67003—24no—
256#66999—21no—
257#66999—21no—
258#66999—21no—
259#66999C2312yes—
260#66999C2312yescomplemented
261C2×#4326C2312yescomplemented
262C2×#4326C2311yescharacteristic, complemented
263#66995—24no—
264C2×#4325—24no—
265C2×#4325C2312yescomplemented
266C2×#4325C2312yescomplemented
267C2×#4325C2312yescomplemented
268C2×#4325C2311yescharacteristic, complemented
269#66992—22no—
270#66991—21no—
271C2×#4324C2311yescharacteristic, complemented
272C2×#4324C2312yescomplemented
273#66985—24no—
274C2×#4323C2311yescharacteristic, complemented
275C2×#4323C2312yescomplemented
276#66983C2312yescomplemented
277C2×(C2×D11)⋊C4—21no—
278C2×C4⋊Dic11C2311yescharacteristic, complemented
279#66977C2312yescomplemented
280C2×Dic11⋊C4—21no—
281C2×#4318C2311yescharacteristic, complemented
282C22×C11⋊C8C2311yescharacteristic, complemented
283#66972—28no—
284#66971—28no—
285#66969—28no—
286#66968—28no—
287#66967—28no—
288#66967—28no—
289SD16×D11—28no—
290SD16×D11—28no—
291#66961—24no—
292#66960—24no—
293C2×Dic44C2311yescharacteristic, complemented
294#66957—24no—
295C2×D88C2311yescharacteristic, complemented
296C2×D88C2312yescomplemented
297C2×#4314C2311yescharacteristic, complemented
298C2×#4314C2311yescharacteristic, complemented
299C2×#4314C2312yescomplemented
300#66954—24no—
301C2×#4313C2312yescomplemented
302C2×#4313C2312yescomplemented
303C2×C8×D11C2312yescomplemented
304C2×C8×D11C2312yescomplemented
305#66950C2311yescharacteristic
306#66950C2311yescharacteristic, complemented
307#66949—22no—
308#66949—22no—
309#66948—22no—
310#66948C2311yescharacteristic
311#66948C2311yescharacteristic, complemented
312#66947—22no—
313#66947—22no—
314#66946—22no—
315#66945C2312yescomplemented
316C4⋊C4×D11—22no—
317C4⋊C4×D11C2312yescomplemented
318#66941—22no—
319#66939—21no—
320#66938—22no—
321#66937—22no—
322#66937—22no—
323#66936—22no—
324#66935—21no—
325#66935—22no—
326(C22⋊D11)⋊C4—22no—
327(C22⋊D11)⋊C4—22no—
328C22⋊C4×D11—22no—
329#66931—22no—
330C4×D44—21no—
331C4×D44—21no—
332C4×D44—21no—
333C4×Dic22—21no—
334C11×#103C2311yescharacteristic, complemented
335C11×#103C2311yescharacteristic, complemented
336C11×#102C2311yescharacteristic, complemented
337C11×#102C2312yescomplemented
338C11×#102C2311yescharacteristic, complemented
339C11×#102C2312yescomplemented
340C11×C22⋊C8C2312yescomplemented
341C11×C22⋊C8C2312yescomplemented
342#66899C2312yescomplemented
343#66896C2312yescomplemented
344#66896C2312yescomplemented
345#66896C2312yescomplemented
346C22⋊(C11⋊C8)C2312yescomplemented
347C22⋊(C11⋊C8)C2312yescomplemented
348#66885C2312yescomplemented
349#66885C2312yescomplemented
350#66885C2312yescomplemented
351(C2×D11)⋊C8C2311yescharacteristic
352(C2×D11)⋊C8C2311yescharacteristic
353(C2×D11)⋊C8C2312yes—
354(C2×D11)⋊C8C2311yescharacteristic, complemented
355(C2×D11)⋊C8C2311yescharacteristic, complemented
356(C2×D11)⋊C8C2312yescomplemented
357#66880C2312yescomplemented
358#66874C2311yescharacteristic, complemented
359#66874C2311yescharacteristic, complemented
360#66873C2312yescomplemented
361#66873C2312yescomplemented
362#66873C2311yescharacteristic, complemented
363#66873C2311yescharacteristic, complemented
364#60373—111nomaximal, Sylow
365C24×C11—22no—
366C24×C11—21no—
367C23×D11—28no—
368C23×D11—216no—
369C23×D11—22no—
370C23×D11—21no—
371C23×D11—21no—
372C23×D11—22no—
373C23×D11—22no—
374C23×D11—22no—
375C23×D11—22no—
376C23×D11—84no—
377C23×D11—82no—
378C23×D11—84no—
379C23×D11—82no—
380C23×D11C2×D412yes—
381C23×D11C2×D411yescharacteristic
382C11×#41—28no—
383C11×#41—24no—
384C11×#41—24no—
385C11×#41—22no—
386C11×#41—22no—
387C11×#41—22no—
388C11×#41C2×D414yes—
389C2×Q8×C11—21no—
390C2×Q8×C11—22no—
391C2×Q8×C11—22no—
392C2×Q8×C11C2×D411yescharacteristic
393C2×Q8×C11C2412yes—
394C2×Q8×C11C2411yescharacteristic
395C2×D4×C11—216no—
396C2×D4×C11—28no—
397C2×D4×C11—22no—
398C2×D4×C11—21no—
399C2×D4×C11—24no—
400C2×D4×C11—24no—
401C2×D4×C11—22no—
402C2×D4×C11—21no—
403C2×D4×C11—22no—
404C2×D4×C11C2×D411yescharacteristic
405C2×D4×C11C2×D412yes—
406C2×D4×C11C2×D414yes—
407C2×D4×C11C2412yes—
408C2×D4×C11C2411yescharacteristic
409C22×C4×C11—22no—
410C22×C4×C11—21no—
411C22×C4×C11—21no—
412C22×C4×C11C2412yes—
413C22×C4×C11C2411yescharacteristic
414C2×C22⋊D11—216no—
415C2×C22⋊D11—216no—
416C2×C22⋊D11—28no—
417C2×C22⋊D11—216no—
418C2×C22⋊D11—216no—
419C2×C22⋊D11—21no—
420C2×C22⋊D11—22no—
421C2×C22⋊D11—22no—
422C2×C22⋊D11—22no—
423C2×C22⋊D11—22no—
424C2×C22⋊D11—22no—
425C2×C22⋊D11—21no—
426C2×C22⋊D11—21no—
427C2×C22⋊D11—22no—
428C2×C22⋊D11—21no—
429C2×C22⋊D11—22no—
430C2×C22⋊D11C2×D412yes—
431C2×C22⋊D11C2×D412yes—
432C2×C22⋊D11C2×D412yes—
433C22×Dic11—21no—
434C22×Dic11—22no—
435C22×Dic11—21no—
436C22×Dic11C2×D412yes—
437C22×Dic11C2×D411yescharacteristic
438#4343—28no—
439#4343—24no—
440#4343—22no—
441#4343—24no—
442#4343—24no—
443#4343—24no—
444#4343—22no—
445#4343—44no—
446#4343C2×D418yes—
447Q8×D11—24no—
448Q8×D11—22no—
449Q8×D11—24no—
450Q8×D11—24no—
451Q8×D11—22no—
452Q8×D11—44no—
453#4341—216no—
454#4341—216no—
455#4341—28no—
456#4341—28no—
457#4341—24no—
458#4341—28no—
459#4341—24no—
460#4341—22no—
461#4341—22no—
462#4341C2×D418yes—
463D4×D11—216no—
464D4×D11—216no—
465D4×D11—28no—
466D4×D11—28no—
467D4×D11—216no—
468D4×D11—216no—
469D4×D11—216no—
470D4×D11—216no—
471D4×D11—216no—
472D4×D11—28no—
473D4×D11—28no—
474D4×D11—28no—
475D4×D11—216no—
476D4×D11—24no—
477D4×D11—28no—
478D4×D11—22no—
479D4×D11—24no—
480D4×D11—24no—
481D4×D11—24no—
482D4×D11—24no—
483D4×D11—24no—
484D4×D11—22no—
485D4×D11—24no—
486D4×D11C2×D418yes—
487D4×D11C2×D418yes—
488#4339—216no—
489#4339—216no—
490#4339—28no—
491#4339—24no—
492#4339—24no—
493#4339—24no—
494#4339—28no—
495#4339—24no—
496#4339—22no—
497#4339—22no—
498#4339—22no—
499#4339—48no—
500#4339C2×D414yes—
501#4339C2×D414yes—
502#4339C2×D414yes—
503C2×D44—216no—
504C2×D44—28no—
505C2×D44—24no—
506C2×D44—24no—
507C2×D44—21no—
508C2×D44—22no—
509C2×D44—21no—
510C2×D44—22no—
511C2×D44—21no—
512C2×D44—22no—
513C2×D44—21no—
514C2×D44—22no—
515C2×D44C2×D414yes—
516C2×D44C2×D412yes—
517C2×D44C2×D411yescharacteristic
518C2×D44C2411yescharacteristic
519C2×D44C2411yescharacteristic
520C2×D44C2412yes—
521C2×C4×D11—216no—
522C2×C4×D11—28no—
523C2×C4×D11—21no—
524C2×C4×D11—22no—
525C2×C4×D11—24no—
526C2×C4×D11—24no—
527C2×C4×D11—22no—
528C2×C4×D11—21no—
529C2×C4×D11—22no—
530C2×C4×D11—22no—
531C2×C4×D11—22no—
532C2×C4×D11—21no—
533C2×C4×D11—22no—
534C2×C4×D11—22no—
535C2×C4×D11—21no—
536C2×C4×D11C2×D411yescharacteristic
537C2×C4×D11C2×D411yescharacteristic
538C2×C4×D11C2×D412yes—
539C2×C4×D11C2×D412yes—
540C2×C4×D11C2411yescharacteristic
541C2×C4×D11C2411yescharacteristic
542C2×C4×D11C2412yes—
543C2×Dic22—21no—
544C2×Dic22—22no—
545C2×Dic22C2×D412yes—
546C2×Dic22C2×D411yescharacteristic
547C2×Dic22C2411yescharacteristic
548C2×Dic22C2411yescharacteristic
549C11×Q16—24no—
550C11×SD16—24no—
551C11×SD16—24no—
552C11×SD16—24no—
553C11×M16—22no—
554C2×C8×C11—22no—
555C2×C8×C11C2412yes—
556C2×C8×C11C2411yescharacteristic
557C2×C8×C11C2411yescharacteristic
558C11×C4⋊C4—22no—
559C11×C4⋊C4—22no—
560C11×C4⋊C4C2411yescharacteristic
561C11×C4⋊C4C2411yescharacteristic
562C11×C22⋊C4—22no—
563C11×C22⋊C4—21no—
564C11×C22⋊C4—22no—
565C42×C11—21no—
566C22⋊Dic11—22no—
567#4326—24no—
568#4326—22no—
569#4325—24no—
570#4325—24no—
571#4325—24no—
572#4325—22no—
573#4324—22no—
574#4324—24no—
575#4323—22no—
576#4323—24no—
577(C2×D11)⋊C4—21no—
578(C2×D11)⋊C4—21no—
579(C2×D11)⋊C4—21no—
580(C2×D11)⋊C4—22no—
581(C2×D11)⋊C4—21no—
582(C2×D11)⋊C4—22no—
583(C2×D11)⋊C4—22no—
584(C2×D11)⋊C4—22no—
585C4⋊Dic11—21no—
586C4⋊Dic11—21no—
587C4⋊Dic11—21no—
588C4⋊Dic11C2412yes—
589Dic11⋊C4—22no—
590Dic11⋊C4—22no—
591Dic11⋊C4—22no—
592Dic11⋊C4—22no—
593C4×Dic11—22no—
594#4318—22no—
595C2×C11⋊C8—22no—
596C2×C11⋊C8C2412yes—
597C2×C11⋊C8C2411yescharacteristic
598C2×C11⋊C8C2411yescharacteristic
599Dic44—22no—
600D88—22no—
601D88—24no—
602#4314—22no—
603#4314—24no—
604#4314—22no—
605#4313—24no—
606#4313—24no—
607C8×D11—24no—
608C8×D11—24no—
609C22×H(5,𝔽2)—111no—
610C2×#577—111no—
611C2×#577—111no—
612#3489—111no—
613#3012—112no—
614#3012—112no—
615#3012—111no—
616#3012—111no—
617#3009—112no—
618#3009—112no—
619#3009—111no—
620#3009D1111yescharacteristic, complemented
621#3007—112no—
622#3007—111no—
623#3003—112no—
624#3003—111no—
625#3002—112no—
626#3002—111no—
627C2×#450—112no—
628C2×#450—111no—
629#2897—111no—
630#2897—111no—
631#2880—111no—
632C23×C11—28no—
633C23×C11—22no—
634C23×C11—21no—
635C23×C11—24no—
636C23×C11—81no—
637C23×C11—81no—
638C23×C11—82no—
639C23×C11—82no—
640C23×C11C22×D412yes—
641C23×C11C22×D411yescharacteristic
642C22×D11—28no—
643C22×D11—24no—
644C22×D11—22no—
645C22×D11—22no—
646C22×D11—21no—
647C22×D11—28no—
648C22×D11—28no—
649C22×D11—24no—
650C22×D11—24no—
651C22×D11—24no—
652C22×D11—22no—
653C22×D11—28no—
654C22×D11—28no—
655C22×D11—21no—
656C22×D11—42no—
657C22×D11—41no—
658C22×D11—42no—
659C22×D11—44no—
660C22×D11—42no—
661C22×D11—44no—
662C22×D11—82no—
663C22×D11—82no—
664C22×D11—82no—
665C22×D11—82no—
666C22×D11—82no—
667C22×D11—82no—
668C22×D11—832no—
669C22×D11—816no—
670C22×D11—81no—
671C22×D11—82no—
672C22×D11—81no—
673C22×D11—82no—
674C22×D11C22×D411yescharacteristic
675C22×D11C22×D412yes—
676C22×D11C22×D411yescharacteristic
677Q8×C11—22no—
678Q8×C11—21no—
679Q8×C11—22no—
680Q8×C11—22no—
681Q8×C11—42no—
682Q8×C11C22×D412yes—
683D4×C11—28no—
684D4×C11—28no—
685D4×C11—24no—
686D4×C11—24no—
687D4×C11—22no—
688D4×C11—24no—
689D4×C11—22no—
690D4×C11—21no—
691D4×C11C22×D414yes—
692D4×C11C22×D412yes—
693C2×C4×C11—28no—
694C2×C4×C11—21no—
695C2×C4×C11—24no—
696C2×C4×C11—22no—
697C2×C4×C11—22no—
698C2×C4×C11—21no—
699C2×C4×C11—21no—
700C2×C4×C11—22no—
701C2×C4×C11—42no—
702C2×C4×C11C22×D412yes—
703C2×C4×C11C22×D411yescharacteristic
704C2×C4×C11C22×D412yes—
705C2×C4×C11C22×D412yes—
706C2×C4×C11C2511yescharacteristic
707C22⋊D11—28no—
708C22⋊D11—28no—
709C22⋊D11—24no—
710C22⋊D11—28no—
711C22⋊D11—24no—
712C22⋊D11—24no—
713C22⋊D11—24no—
714C22⋊D11—28no—
715C22⋊D11—24no—
716C22⋊D11—28no—
717C22⋊D11—28no—
718C22⋊D11—42no—
719C22⋊D11—82no—
720C22⋊D11#12018yes—
721C2×Dic11—24no—
722C2×Dic11—22no—
723C2×Dic11—21no—
724C2×Dic11—24no—
725C2×Dic11—28no—
726C2×Dic11—22no—
727C2×Dic11—21no—
728C2×Dic11—81no—
729C2×Dic11C22×D411yescharacteristic
730C2×Dic11C22×D411yescharacteristic
731C2×Dic11C22×D412yes—
732D44—24no—
733D44—28no—
734D44—28no—
735D44—24no—
736D44—24no—
737D44—21no—
738D44—22no—
739D44—21no—
740D44—21no—
741D44—44no—
742D44—42no—
743D44—81no—
744D44#12014yes—
745D44C22×D412yes—
746D44C22×D414yes—
747C4×D11—24no—
748C4×D11—24no—
749C4×D11—28no—
750C4×D11—24no—
751C4×D11—22no—
752C4×D11—24no—
753C4×D11—22no—
754C4×D11—21no—
755C4×D11—21no—
756C4×D11—21no—
757C4×D11—21no—
758C4×D11—24no—
759C4×D11—28no—
760C4×D11—44no—
761C4×D11—42no—
762C4×D11—44no—
763C4×D11—82no—
764C4×D11C22×D414yes—
765C4×D11C22×D414yes—
766Dic22—24no—
767Dic22—21no—
768Dic22—24no—
769Dic22—21no—
770Dic22—21no—
771Dic22—44no—
772Dic22#12014yes—
773Dic22C22×D412yes—
774C8×C11—21no—
775C8×C11—22no—
776C8×C11—21no—
777C11⋊C8—21no—
778C11⋊C8—22no—
779C11⋊C8—21no—
780C2×2−1+4—111no—
781C2×H(5,𝔽2)—111no—
782C2×H(5,𝔽2)—112no—
783C2×H(5,𝔽2)—111no—
784C2×H(5,𝔽2)—111no—
785C2×H(5,𝔽2)—112no—
786C2×H(5,𝔽2)—222no—
787C2×H(5,𝔽2)—221no—
788C2×H(5,𝔽2)—221no—
789C2×H(5,𝔽2)—228no—
790C2×H(5,𝔽2)—228no—
791C2×H(5,𝔽2)C2×D1111yescharacteristic
792C22×#41—111no—
793C22×#41—112no—
794C22×#41—111no—
795C22×#41—221no—
796C23×D4—112no—
797C23×D4—111no—
798C23×D4—222no—
799C23×D4—221no—
800#577—228no—
801#577—228no—
802C2×#137—111no—
803C2×#137—112no—
804C2×#137—112no—
805C2×#137C2×D1111yescharacteristic, complemented
806C2×AGL(1,ℤ/8)—111no—
807C2×AGL(1,ℤ/8)—112no—
808C2×AGL(1,ℤ/8)—112no—
809C2×AGL(1,ℤ/8)—111no—
810C2×#135—111no—
811C2×#135—112no—
812C2×#135—112no—
813C2×#135—111no—
814C22×SD16—111no—
815C22×SD16—112no—
816C22×SD16—112no—
817C22×SD16C2×D1111yescharacteristic, complemented
818C2×#131—111no—
819C2×#131—111no—
820D4×Q8—221no—
821#548—221no—
822#547—222no—
823#547—221no—
824#546—222no—
825#546—221no—
826#537—111no—
827#537—112no—
828#536—112no—
829#536C2×D1111yescharacteristic, complemented
830#525—112no—
831#525—111no—
832C2×C22⋊Q8—111no—
833C2×C22⋊Q8—112no—
834#520—111no—
835#452—112no—
836#452—112no—
837#452—112no—
838#452—112no—
839#452—112no—
840#452—111no—
841#452—111no—
842#452—112no—
843#452C2×D1112yescomplemented
844#452C2×D1112yescomplemented
845#451—112no—
846#451—111no—
847#450—112no—
848#450—112no—
849#450—112no—
850#450—112no—
851#450—112no—
852#450—112no—
853#450—112no—
854#450—112no—
855#450—111no—
856#450—112no—
857#450—112no—
858#450—112no—
859#450C2×D1112yescomplemented
860#450C2×D1112yescomplemented
861#449—112no—
862#449—111no—
863#449—111no—
864#449—112no—
865#448—111no—
866#447—112no—
867#447—112no—
868#447—111no—
869#447—112no—
870#447—112no—
871#418—111no—
872#418—112no—
873#418—112no—
874#418C2×D1111yescharacteristic, complemented
875#417—111no—
876#417—111no—
877#417—112no—
878#417—112no—
879#416—111no—
880#416—112no—
881#416—112no—
882#416C2×D1111yescharacteristic, complemented
883C2×#102—111no—
884C2×#102—111no—
885C2×#102—112no—
886C2×#102—112no—
887#408—111no—
888#408—112no—
889#408—112no—
890#408C2×D1111yescharacteristic, complemented
891#407—111no—
892#407—112no—
893C2×C22⋊C8—111no—
894C2×C22⋊C8—112no—
895C22×C11—21no—
896C22×C11—21no—
897C22×C11—22no—
898C22×C11—22no—
899C22×C11—24no—
900C22×C11—22no—
901C22×C11—22no—
902C22×C11—41no—
903C22×C11—42no—
904C22×C11—41no—
905C22×C11—42no—
906C22×C11—84no—
907C22×C11—88no—
908C22×C11C2×#12012yes—
909C22×C11C23×D411yescharacteristic
910C2×D11—21no—
911C2×D11—22no—
912C2×D11—21no—
913C2×D11—22no—
914C2×D11—21no—
915C2×D11—24no—
916C2×D11—22no—
917C2×D11—21no—
918C2×D11—21no—
919C2×D11—48no—
920C2×D11—44no—
921C2×D11—48no—
922C2×D11—416no—
923C2×D11—41no—
924C2×D11—42no—
925C2×D11—41no—
926C2×D11—42no—
927C2×D11—41no—
928C2×D11—41no—
929C2×D11—41no—
930C2×D11—88no—
931C2×D11—88no—
932C2×D11—84no—
933C2×D11—88no—
934C2×D11—88no—
935C2×D11C2×#12014yes—
936C2×D11#57712yescomplemented
937C4×C11—22no—
938C4×C11—22no—
939C4×C11—41no—
940C4×C11—42no—
941C4×C11—41no—
942C4×C11C2×#12012yes—
943C4×C11C23×D411yescharacteristic
944C4×C11C23×D411yescharacteristic
945Dic11—21no—
946Dic11—21no—
947Dic11—22no—
948Dic11—42no—
949Dic11—41no—
950Dic11C2×#12014yes—
951C25—222no—
952C25—221no—
9532−1+4—224no—
9542−1+4—224no—
955H(5,𝔽2)—24no—
956H(5,𝔽2)—24no—
957H(5,𝔽2)—118no—
958H(5,𝔽2)—118no—
959H(5,𝔽2)—228no—
960H(5,𝔽2)—228no—
961H(5,𝔽2)—224no—
962H(5,𝔽2)—2232no—
963H(5,𝔽2)—2216no—
964H(5,𝔽2)—228no—
965H(5,𝔽2)—224no—
966H(5,𝔽2)—224no—
967H(5,𝔽2)—228no—
968H(5,𝔽2)—224no—
969H(5,𝔽2)—2216no—
970C2×#41—21no—
971C2×#41—111no—
972C2×#41—112no—
973C2×#41—111no—
974C2×#41—111no—
975C2×#41—112no—
976C2×#41—112no—
977C2×#41—112no—
978C2×#41—111no—
979C2×#41—112no—
980C2×#41—111no—
981C2×#41—111no—
982C2×#41—111no—
983C2×#41—112no—
984C2×#41—222no—
985C2×#41—221no—
986C2×#41—222no—
987C2×#41—221no—
988C2×#41—222no—
989C2×#41—221no—
990C2×#41—222no—
991C2×#41—221no—
992C2×#41—222no—
993C2×#41—221no—
994C2×#41—224no—
995C2×#41—224no—
996C2×#41—228no—
997C2×#41—228no—
998C2×#41—224no—
999C2×#41—2216no—
1000C2×#41—224no—
1001C2×#41—221no—
1002C2×#41C22×D1112yes—
1003C2×#41C22×D1111yescharacteristic
1004C2×#41C22×D1111yescharacteristic
1005C22×Q8—111no—
1006C22×Q8—112no—
1007C22×Q8—111no—
1008C22×Q8—221no—
1009C22×Q8C22×D1111yescharacteristic, complemented
1010C22×D4—22no—
1011C22×D4—21no—
1012C22×D4—112no—
1013C22×D4—112no—
1014C22×D4—112no—
1015C22×D4—111no—
1016C22×D4—112no—
1017C22×D4—111no—
1018C22×D4—112no—
1019C22×D4—111no—
1020C22×D4—112no—
1021C22×D4—221no—
1022C22×D4—222no—
1023C22×D4—222no—
1024C22×D4—221no—
1025C22×D4—222no—
1026C22×D4—221no—
1027C22×D4—221no—
1028C22×D4—222no—
1029C22×D4—228no—
1030C22×D4—228no—
1031C22×D4—224no—
1032C22×D4—222no—
1033C22×D4—222no—
1034C22×D4—222no—
1035C22×D4—221no—
1036C22×D4—222no—
1037C22×D4—222no—
1038C22×D4—221no—
1039C22×D4—2216no—
1040C22×D4—2232no—
1041C22×D4—222no—
1042C22×D4—222no—
1043C22×D4—222no—
1044C22×D4—224no—
1045C22×D4—222no—
1046C22×D4—221no—
1047C22×D4C22×D1112yes—
1048C22×D4C22×D1111yescharacteristic
1049C23×C4—112no—
1050C23×C4—111no—
1051C23×C4—222no—
1052C23×C4—221no—
1053#137—24no—
1054#137—228no—
1055#137—228no—
1056#137—224no—
1057AGL(1,ℤ/8)—224no—
1058AGL(1,ℤ/8)—228no—
1059AGL(1,ℤ/8)—228no—
1060AGL(1,ℤ/8)—224no—
1061#135—224no—
1062#135—228no—
1063#135—228no—
1064#135—224no—
1065C2×Q16—112no—
1066C2×Q16—111no—
1067C2×Q16—111no—
1068C2×Q16C22×D1112yescomplemented
1069C2×SD16—24no—
1070C2×SD16—112no—
1071C2×SD16—112no—
1072C2×SD16—112no—
1073C2×SD16—111no—
1074C2×SD16—111no—
1075C2×SD16—112no—
1076C2×SD16—111no—
1077C2×SD16—112no—
1078C2×SD16—111no—
1079C2×SD16—228no—
1080C2×SD16—228no—
1081C2×SD16—224no—
1082C2×SD16C22×D1112yescomplemented
1083C2×SD16C22×D1112yescomplemented
1084C2×SD16C22×D1112yescomplemented
1085C2×D8—111no—
1086C2×D8—112no—
1087C2×D8—111no—
1088C2×D8—112no—
1089#131—224no—
1090#131—224no—
1091C2×M16—111no—
1092C2×M16—112no—
1093C2×M16—112no—
1094C2×M16C22×D1111yescharacteristic, complemented
1095C22×C8—111no—
1096C22×C8—112no—
1097C22×C8—112no—
1098C22×C8C22×D1111yescharacteristic, complemented
1099C4⋊Q8—21no—
1100C4⋊Q8—222no—
1101#124—21no—
1102#124—222no—
1103#123—22no—
1104#123—221no—
1105#123—222no—
1106#123—222no—
1107#123—222no—
1108C22⋊Q8—112no—
1109C22⋊Q8—112no—
1110C22⋊Q8—112no—
1111C22⋊Q8—111no—
1112C22⋊Q8—111no—
1113C22⋊Q8—222no—
1114C22⋊Q8—222no—
1115C22⋊Q8—222no—
1116C22⋊Q8—221no—
1117C22⋊Q8—221no—
1118C22⋊Q8—221no—
1119C22⋊Q8C22×D1112yescomplemented
1120C22⋊Q8C22×D1112yescomplemented
1121#121—112no—
1122#121—111no—
1123#121—111no—
1124#121—222no—
1125#121—222no—
1126#121—222no—
1127#121—222no—
1128#121—221no—
1129#120—221no—
1130#120—222no—
1131C4×Q8—221no—
1132C4×D4—221no—
1133C4×D4—221no—
1134C4×D4—221no—
1135C4×D4—222no—
1136C4×D4—222no—
1137C4×D4—222no—
1138#117—112no—
1139#117C22×D1111yescharacteristic, complemented
1140C2×C4⋊C4—111no—
1141C2×C4⋊C4—112no—
1142C2×C4⋊C4—222no—
1143C2×C4⋊C4—221no—
1144C2×C22⋊C4—222no—
1145C2×C22⋊C4—221no—
1146#103—112no—
1147#103—112no—
1148#103—111no—
1149#103—111no—
1150#103C22×D1111yescharacteristic, complemented
1151#103C22×D1111yescharacteristic, complemented
1152#102—112no—
1153#102—112no—
1154#102—112no—
1155#102—112no—
1156#102—112no—
1157#102—112no—
1158#102—111no—
1159#102—112no—
1160#102—112no—
1161#102—111no—
1162#102C22×D1111yescharacteristic, complemented
1163#102C22×D1112yescomplemented
1164#102C22×D1112yescomplemented
1165#102C22×D1111yescharacteristic, complemented
1166C22⋊C8—112no—
1167C22⋊C8—112no—
1168C22⋊C8—111no—
1169C22⋊C8—111no—
1170C22⋊C8—112no—
1171C22⋊C8—111no—
1172C22⋊C8—111no—
1173C22⋊C8—112no—
1174C22⋊C8C22×D1112yescomplemented
1175C22⋊C8C22×D1112yescomplemented
1176C2×C11—22no—
1177C2×C11—42no—
1178C2×C11—42no—
1179C2×C11—44no—
1180C2×C11C22×#12011yescharacteristic
1181C2×C11C2×#57711yescharacteristic
1182C2×C11#358511yescharacteristic
1183D11—22no—
1184D11—24no—
1185D11—41no—
1186D11—42no—
1187D11—44no—
1188D11—81no—
1189C24—22no—
1190C24—21no—
1191C24—112no—
1192C24—111no—
1193C24—222no—
1194C24—221no—
1195C24—222no—
1196C24—222no—
1197C24—222no—
1198C24—2216no—
1199C24—228no—
1200C24—222no—
1201C24—221no—
1202C24—882no—
1203C24—884no—
1204C24—882no—
1205C24—884no—
1206#41—28no—
1207#41—24no—
1208#41—24no—
1209#41—22no—
1210#41—22no—
1211#41—22no—
1212#41—114no—
1213#41—114no—
1214#41—118no—
1215#41—118no—
1216#41—114no—
1217#41—224no—
1218#41—224no—
1219#41—224no—
1220#41—224no—
1221#41—228no—
1222#41—2216no—
1223#41—2216no—
1224#41—228no—
1225#41—224no—
1226#41—224no—
1227#41—224no—
1228#41—224no—
1229#41—228no—
1230#41—224no—
1231#41—222no—
1232#41—228no—
1233#41—2216no—
1234#41—2216no—
1235#41—228no—
1236#41—224no—
1237#41—222no—
1238#41—228no—
1239#41—222no—
1240#41—222no—
1241#41—222no—
1242#41—222no—
1243#41—222no—
1244#41—448no—
1245#41—444no—
1246#41D4×D1114yes—
1247C2×Q8—21no—
1248C2×Q8—22no—
1249C2×Q8—22no—
1250C2×Q8—111no—
1251C2×Q8—112no—
1252C2×Q8—111no—
1253C2×Q8—111no—
1254C2×Q8—221no—
1255C2×Q8—222no—
1256C2×Q8—224no—
1257C2×Q8—224no—
1258C2×Q8—224no—
1259C2×Q8—222no—
1260C2×Q8—222no—
1261C2×Q8—444no—
1262C2×Q8D4×D1111yescharacteristic
1263C2×Q8C23×D1112yes—
1264C2×Q8C23×D1111yescharacteristic
1265C2×D4—216no—
1266C2×D4—28no—
1267C2×D4—22no—
1268C2×D4—21no—
1269C2×D4—24no—
1270C2×D4—24no—
1271C2×D4—22no—
1272C2×D4—21no—
1273C2×D4—22no—
1274C2×D4—112no—
1275C2×D4—118no—
1276C2×D4—118no—
1277C2×D4—112no—
1278C2×D4—112no—
1279C2×D4—111no—
1280C2×D4—114no—
1281C2×D4—112no—
1282C2×D4—112no—
1283C2×D4—111no—
1284C2×D4—111no—
1285C2×D4—224no—
1286C2×D4—224no—
1287C2×D4—228no—
1288C2×D4—222no—
1289C2×D4—221no—
1290C2×D4—2216no—
1291C2×D4—221no—
1292C2×D4—222no—
1293C2×D4—221no—
1294C2×D4—224no—
1295C2×D4—224no—
1296C2×D4—222no—
1297C2×D4—222no—
1298C2×D4—222no—
1299C2×D4—221no—
1300C2×D4—222no—
1301C2×D4—228no—
1302C2×D4—224no—
1303C2×D4—224no—
1304C2×D4—222no—
1305C2×D4—224no—
1306C2×D4—2216no—
1307C2×D4—228no—
1308C2×D4—2216no—
1309C2×D4—2216no—
1310C2×D4—228no—
1311C2×D4—228no—
1312C2×D4—2216no—
1313C2×D4—2216no—
1314C2×D4—2216no—
1315C2×D4—2216no—
1316C2×D4—2216no—
1317C2×D4—228no—
1318C2×D4—228no—
1319C2×D4—2216no—
1320C2×D4—222no—
1321C2×D4—221no—
1322C2×D4—2216no—
1323C2×D4—2216no—
1324C2×D4—2216no—
1325C2×D4—228no—
1326C2×D4—222no—
1327C2×D4—221no—
1328C2×D4—222no—
1329C2×D4—224no—
1330C2×D4—224no—
1331C2×D4—221no—
1332C2×D4—222no—
1333C2×D4—222no—
1334C2×D4—221no—
1335C2×D4—222no—
1336C2×D4D4×D1112yes—
1337C2×D4D4×D1111yescharacteristic
1338C2×D4D4×D1114yes—
1339C2×D4C23×D1111yescharacteristic
1340C2×D4C23×D1112yes—
1341C22×C4—22no—
1342C22×C4—21no—
1343C22×C4—21no—
1344C22×C4—112no—
1345C22×C4—111no—
1346C22×C4—112no—
1347C22×C4—112no—
1348C22×C4—112no—
1349C22×C4—111no—
1350C22×C4—111no—
1351C22×C4—111no—
1352C22×C4—111no—
1353C22×C4—224no—
1354C22×C4—224no—
1355C22×C4—222no—
1356C22×C4—221no—
1357C22×C4—222no—
1358C22×C4—221no—
1359C22×C4—2216no—
1360C22×C4—228no—
1361C22×C4—222no—
1362C22×C4—222no—
1363C22×C4—222no—
1364C22×C4—221no—
1365C22×C4—222no—
1366C22×C4—222no—
1367C22×C4—222no—
1368C22×C4—221no—
1369C22×C4—221no—
1370C22×C4—221no—
1371C22×C4C23×D1112yes—
1372C22×C4C23×D1111yescharacteristic
1373Q16—24no—
1374Q16—222no—
1375Q16—224no—
1376Q16—222no—
1377SD16—24no—
1378SD16—24no—
1379SD16—24no—
1380SD16—222no—
1381SD16—224no—
1382SD16—222no—
1383SD16—224no—
1384SD16—224no—
1385SD16—224no—
1386SD16—222no—
1387SD16—222no—
1388SD16—224no—
1389D8—222no—
1390D8—224no—
1391D8—222no—
1392D8—224no—
1393M16—22no—
1394M16—224no—
1395M16—224no—
1396M16—222no—
1397C2×C8—22no—
1398C2×C8—111no—
1399C2×C8—112no—
1400C2×C8—111no—
1401C2×C8—224no—
1402C2×C8—224no—
1403C2×C8—222no—
1404C2×C8C23×D1111yescharacteristic
1405C2×C8C23×D1111yescharacteristic
1406C2×C8C23×D1112yes—
1407C4⋊C4—22no—
1408C4⋊C4—22no—
1409C4⋊C4—112no—
1410C4⋊C4—222no—
1411C4⋊C4—222no—
1412C4⋊C4—221no—
1413C4⋊C4—222no—
1414C4⋊C4—221no—
1415C4⋊C4—221no—
1416C4⋊C4—222no—
1417C4⋊C4C23×D1111yescharacteristic
1418C4⋊C4C23×D1111yescharacteristic
1419C22⋊C4—22no—
1420C22⋊C4—21no—
1421C22⋊C4—22no—
1422C22⋊C4—221no—
1423C22⋊C4—221no—
1424C22⋊C4—221no—
1425C22⋊C4—222no—
1426C22⋊C4—222no—
1427C22⋊C4—222no—
1428C22⋊C4—221no—
1429C22⋊C4—222no—
1430C22⋊C4—222no—
1431C42—21no—
1432C42—222no—
1433C11#6037311yescharacteristic, complemented, Sylow
1434C23—28no—
1435C23—22no—
1436C23—21no—
1437C23—24no—
1438C23—81no—
1439C23—81no—
1440C23—82no—
1441C23—82no—
1442C23—111no—
1443C23—112no—
1444C23—111no—
1445C23—224no—
1446C23—222no—
1447C23—224no—
1448C23—228no—
1449C23—228no—
1450C23—228no—
1451C23—224no—
1452C23—228no—
1453C23—228no—
1454C23—222no—
1455C23—222no—
1456C23—221no—
1457C23—224no—
1458C23—221no—
1459C23—441no—
1460C23—442no—
1461C23—444no—
1462C23—442no—
1463C23—444no—
1464C23—442no—
1465C23—881no—
1466C23—881no—
1467C23—882no—
1468C23—882no—
1469C23—882no—
1470C23—882no—
1471C23—882no—
1472C23—882no—
1473C23—882no—
1474C23—882no—
1475C23—8816no—
1476C23—8832no—
1477C23C2×D4×D1112yes—
1478C23C2×D4×D1111yescharacteristic
1479Q8—22no—
1480Q8—21no—
1481Q8—22no—
1482Q8—22no—
1483Q8—42no—
1484Q8—114no—
1485Q8—112no—
1486Q8—224no—
1487Q8—224no—
1488Q8—221no—
1489Q8—221no—
1490Q8—221no—
1491Q8—444no—
1492Q8C2×D4×D1112yes—
1493D4—28no—
1494D4—28no—
1495D4—24no—
1496D4—24no—
1497D4—22no—
1498D4—24no—
1499D4—22no—
1500D4—21no—
1501D4—118no—
1502D4—114no—
1503D4—114no—
1504D4—112no—
1505D4—224no—
1506D4—228no—
1507D4—224no—
1508D4—228no—
1509D4—224no—
1510D4—228no—
1511D4—228no—
1512D4—224no—
1513D4—228no—
1514D4—228no—
1515D4—224no—
1516D4—228no—
1517D4—228no—
1518D4—224no—
1519D4—224no—
1520D4—224no—
1521D4—221no—
1522D4—222no—
1523D4—221no—
1524D4—221no—
1525D4—444no—
1526D4—442no—
1527D4—442no—
1528D4—881no—
1529D4—882no—
1530D4C2×D4×D1112yes—
1531D4C2×D4×D1114yes—
1532C2×C4—28no—
1533C2×C4—21no—
1534C2×C4—24no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—22no—
1540C2×C4—42no—
1541C2×C4—112no—
1542C2×C4—114no—
1543C2×C4—114no—
1544C2×C4—111no—
1545C2×C4—111no—
1546C2×C4—224no—
1547C2×C4—228no—
1548C2×C4—224no—
1549C2×C4—224no—
1550C2×C4—224no—
1551C2×C4—228no—
1552C2×C4—224no—
1553C2×C4—228no—
1554C2×C4—224no—
1555C2×C4—222no—
1556C2×C4—221no—
1557C2×C4—222no—
1558C2×C4—222no—
1559C2×C4—224no—
1560C2×C4—221no—
1561C2×C4—221no—
1562C2×C4—221no—
1563C2×C4—221no—
1564C2×C4—222no—
1565C2×C4—221no—
1566C2×C4—444no—
1567C2×C4—444no—
1568C2×C4—442no—
1569C2×C4—882no—
1570C2×C4—881no—
1571C2×C4C2×D4×D1112yes—
1572C2×C4C2×D4×D1111yescharacteristic
1573C2×C4C2×D4×D1112yes—
1574C2×C4C2×D4×D1112yes—
1575C2×C4C24×D1111yescharacteristic
1576C8—21no—
1577C8—21no—
1578C8—22no—
1579C8—221no—
1580C8—221no—
1581C8—222no—
1582C22—21no—
1583C22—21no—
1584C22—22no—
1585C22—22no—
1586C22—24no—
1587C22—22no—
1588C22—22no—
1589C22—42no—
1590C22—41no—
1591C22—42no—
1592C22—41no—
1593C22—84no—
1594C22—88no—
1595C22—114no—
1596C22—112no—
1597C22—222no—
1598C22—221no—
1599C22—221no—
1600C22—222no—
1601C22—221no—
1602C22—224no—
1603C22—222no—
1604C22—221no—
1605C22—221no—
1606C22—444no—
1607C22—448no—
1608C22—4416no—
1609C22—448no—
1610C22—442no—
1611C22—441no—
1612C22—442no—
1613C22—441no—
1614C22—441no—
1615C22—441no—
1616C22—441no—
1617C22—884no—
1618C22—888no—
1619C22—888no—
1620C22—888no—
1621C22—888no—
1622C22D11×#12012yes—
1623C22C22×D4×D1111yescharacteristic
1624C4—22no—
1625C4—22no—
1626C4—41no—
1627C4—42no—
1628C4—41no—
1629C4—114no—
1630C4—221no—
1631C4—221no—
1632C4—222no—
1633C4—442no—
1634C4—441no—
1635C4D11×#12012yes—
1636C4C22×D4×D1111yescharacteristic
1637C4C22×D4×D1111yescharacteristic
1638C2—22no—
1639C2—42no—
1640C2—44no—
1641C2—42no—
1642C2—222no—
1643C2—224no—
1644C2—441no—
1645C2—444no—
1646C2—442no—
1647C2—881no—
1648C2C2×D11×#12011yescharacteristic
1649C2D11×#57711yescharacteristic
1650C2#1308339411yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3009C2
socleC22×C11C23×D4
hypercenter#3009D11
hypocenterC11#60373
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C2×#41 ◁ #3009

Complements

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

NH ≅ G/Ntype
1. C2×D11×H(5,𝔽2)C2semidirect
2. C2×#10623309C2semidirect
3. C2×#10623293C2semidirect
4. #13082294C2semidirect
5. #13077924C2semidirect
6. #13077923C2semidirect
7. #13077921C2semidirect
8. #13077920C2semidirect
9. #13077891C2semidirect
10. #13077890C2semidirect
11. #13077888C2semidirect
12. #13077873C2semidirect
13. #13077872C2semidirect
14. #13077845C2semidirect
15. #13077844C2semidirect
16. #13077837C2semidirect
17. #13077836C2semidirect
18. C2×#10622782C2semidirect
19. D11×#450C2semidirect
20. #13077141C2semidirect
21. #13077138C2semidirect
22. #13077064C2semidirect
23. C11×#3009C2semidirect
35. C2×#67040C22semidirect
44. C2×C11×#137C22semidirect
45. C22×C11×SD16C22semidirect
46. C11×#536C22semidirect
47. #10623364C22semidirect
48. C2×#67003C22semidirect
49. C2×#66999C22semidirect
50. C2×#66995C22semidirect
51. C22×#4325C22semidirect
52. C2×#66985C22semidirect
54. C2×#66972C22semidirect
55. C2×#66971C22semidirect
57. C2×#66969C22semidirect
58. C2×#66968C22semidirect
59. C2×#66967C22semidirect
60. C2×#66967C22semidirect
61. C2×SD16×D11C22semidirect
62. C2×SD16×D11C22semidirect
63. C2×#66961C22semidirect
64. C2×#66960C22semidirect
65. C2×#66957C22semidirect
66. C2×#66954C22semidirect
73. #10623160C22semidirect
74. #10623159C22semidirect
75. #10623158C22semidirect
76. D11×C22⋊Q8C22semidirect
77. #10623055C22semidirect
78. #10623054C22semidirect
79. C11×#452C22semidirect
80. C11×#452C22semidirect
81. C11×#450C22semidirect
82. C11×#450C22semidirect
83. C11×#418C22semidirect
84. C11×#416C22semidirect
85. C11×#408C22semidirect
86. #10622852C22semidirect
87. #10622851C22semidirect
88. #10622847C22semidirect
89. #10622845C22semidirect
90. #10622831C22semidirect
91. #10622830C22semidirect
92. C2×#66896C22semidirect
93. #10622800C22semidirect
94. #10622799C22semidirect
95. #10622786C22semidirect
96. #10622782C22semidirect
97. #10622782C22semidirect
98. #10622782C22semidirect
99. #10622782C22semidirect
100. #10622782C22semidirect
101. #10622746C22semidirect
102. #10622739C22semidirect
103. C2×#66885C22semidirect
104. C2×(C2×D11)⋊C8C22semidirect
105. #10622660C22semidirect
106. #10622660C22semidirect
107. #10622659C22semidirect
108. #10622659C22semidirect
109. #10622615C22semidirect
110. #10622614C22semidirect
111. #10622424C22semidirect
112. #10622423C22semidirect
113. #10622421C22semidirect
114. #10622419C22semidirect
115. #10622417C22semidirect
116. #10622416C22semidirect
117. #10622396C22semidirect
118. #10622394C22semidirect
119. #10622389C22semidirect
120. #10622389C22semidirect
121. #10622389C22semidirect
122. #10622386C22semidirect
123. #10622386C22semidirect
124. #10622386C22semidirect
125. #10622385C22semidirect
126. #10622384C22semidirect
127. #10622383C22semidirect
128. #10622383C22semidirect
129. D11×#102C22semidirect
130. D11×#102C22semidirect
131. #10622347C22semidirect
132. #10622346C22semidirect
133. #10622345C22semidirect
134. #10622344C22semidirect
135. #10622340C22semidirect
136. #10622340C22semidirect
137. #10622339C22semidirect
138. D11×C22⋊C8C22semidirect
147. C22×Q8×C11C23semidirect
163. #67042D4semidirect
178. C2×#4343C23semidirect
182. C2×Q8×D11C23semidirect
188. #67037D4semidirect
232. C2×#4339C23semidirect
242. C2×C11×Q16C23semidirect
244. C2×C11×SD16C23semidirect
245. C2×C11×SD16C23semidirect
246. C2×C11×SD16C23semidirect
247. C2×C11×M16C23semidirect
248. C22×C8×C11C23semidirect
252. C11×C22⋊Q8C23semidirect
253. C11×C22⋊Q8C23semidirect
254. C11×#117C23semidirect
260. #66999C23semidirect
261. C2×#4326C23semidirect
262. C2×#4326C23semidirect
265. C2×#4325C23semidirect
266. C2×#4325C23semidirect
267. C2×#4325C23semidirect
268. C2×#4325C23semidirect
271. C2×#4324C23semidirect
272. C2×#4324C23semidirect
274. C2×#4323C23semidirect
275. C2×#4323C23semidirect
276. #66983C23semidirect
278. C2×C4⋊Dic11C23semidirect
279. #66977C23semidirect
281. C2×#4318C23semidirect
282. C22×C11⋊C8C23semidirect
293. C2×Dic44C23semidirect
295. C2×D88C23semidirect
296. C2×D88C23semidirect
297. C2×#4314C23semidirect
298. C2×#4314C23semidirect
299. C2×#4314C23semidirect
301. C2×#4313C23semidirect
302. C2×#4313C23semidirect
303. C2×C8×D11C23semidirect
304. C2×C8×D11C23semidirect
306. #66950C23semidirect
311. #66948C23semidirect
315. #66945C23semidirect
317. C4⋊C4×D11C23semidirect
334. C11×#103C23semidirect
335. C11×#103C23semidirect
336. C11×#102C23semidirect
337. C11×#102C23semidirect
338. C11×#102C23semidirect
339. C11×#102C23semidirect
340. C11×C22⋊C8C23semidirect
341. C11×C22⋊C8C23semidirect
342. #66899C23semidirect
343. #66896C23semidirect
344. #66896C23semidirect
345. #66896C23semidirect
346. C22⋊(C11⋊C8)C23semidirect
347. C22⋊(C11⋊C8)C23semidirect
348. #66885C23semidirect
349. #66885C23semidirect
350. #66885C23semidirect
354. (C2×D11)⋊C8C23semidirect
355. (C2×D11)⋊C8C23semidirect
356. (C2×D11)⋊C8C23semidirect
357. #66880C23semidirect
358. #66874C23semidirect
359. #66874C23semidirect
360. #66873C23semidirect
361. #66873C23semidirect
362. #66873C23semidirect
363. #66873C23semidirect
620. #3009D11semidirect
805. C2×#137C2×D11semidirect
817. C22×SD16C2×D11semidirect
829. #536C2×D11semidirect
843. #452C2×D11semidirect
844. #452C2×D11semidirect
859. #450C2×D11semidirect
860. #450C2×D11semidirect
874. #418C2×D11semidirect
882. #416C2×D11semidirect
890. #408C2×D11semidirect
936. C2×D11#577semidirect
1009. C22×Q8C22×D11semidirect
1068. C2×Q16C22×D11semidirect
1082. C2×SD16C22×D11semidirect
1083. C2×SD16C22×D11semidirect
1084. C2×SD16C22×D11semidirect
1094. C2×M16C22×D11semidirect
1098. C22×C8C22×D11semidirect
1119. C22⋊Q8C22×D11semidirect
1120. C22⋊Q8C22×D11semidirect
1139. #117C22×D11semidirect
1150. #103C22×D11semidirect
1151. #103C22×D11semidirect
1162. #102C22×D11semidirect
1163. #102C22×D11semidirect
1164. #102C22×D11semidirect
1165. #102C22×D11semidirect
1174. C22⋊C8C22×D11semidirect
1175. C22⋊C8C22×D11semidirect
1433. C11#60373semidirect

Maximal subgroups

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

subgroupindex
C2×D11×H(5,𝔽2)2
C2×#106233092
C2×#106232932
#130822942
#130779242
#130779232
#130779212
#130779202
#130778912
#130778902
#130778882
#130778732
#130778722
#130778452
#130778442
#130778372
#130778362
C2×#106227822
D11×#4502
#130771412
#130771382
#130770642
C11×#30092
#6037311