Finite Group Databasebeta

← #33963322

Subgroups — #33963322

Order 18688.

2046 conjugacy classes of subgroups.

The subgroup lattice has 1790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623672C211yesmaximal, characteristic, complemented
2#22623602C211yesmaximal, characteristic
3#22622024C211yesmaximal, characteristic, complemented
4#22622020C211yesmaximal, characteristic, complemented
5#22622016C211yesmaximal, characteristic, complemented
6#22622012C211yesmaximal, characteristic, complemented
7#22622004C211yesmaximal, characteristic, complemented
8#22622000C211yesmaximal, characteristic, complemented
9#22621980C211yesmaximal, characteristic, complemented
10#22621976C211yesmaximal, characteristic, complemented
11#22621850C211yesmaximal, characteristic, complemented
12#22621844C211yesmaximal, characteristic, complemented
13#22621824C211yesmaximal, characteristic, complemented
14#22621817C211yesmaximal, characteristic, complemented
15#22621808C211yesmaximal, characteristic, complemented
16#22621802C211yesmaximal, characteristic, complemented
17#22621762C211yesmaximal, characteristic, complemented
18#22620295C211yesmaximal, characteristic, complemented
19#22619906C211yesmaximal, characteristic, complemented
20#22619874C211yesmaximal, characteristic, complemented
21#22619783C211yesmaximal, characteristic, complemented
22#22619615C211yesmaximal, characteristic, complemented
23#467×D73C211yesmaximal, characteristic, complemented
24#22619459C211yesmaximal, characteristic, complemented
25#22619223C211yesmaximal, characteristic, complemented
26#22619186C211yesmaximal, characteristic, complemented
27#22618767C211yesmaximal, characteristic, complemented
28#22618620C211yesmaximal, characteristic, complemented
29#22618460C211yesmaximal, characteristic, complemented
30C2×#17988580C211yesmaximal, characteristic, complemented
31C73×#3296C211yesmaximal, characteristic, complemented
32C2×#14556638C2211yescharacteristic
33C22×#11924027C2211yescharacteristic
34C2×#14556620C2211yescharacteristic
35C2×#14556620C2211yescharacteristic
36C2×Q16×D73C2211yescharacteristic, complemented
37C2×#14556597C2211yescharacteristic, complemented
38C22×C8×D73C2211yescharacteristic
39#17989310C2211yescharacteristic, complemented
40#17989305C2211yescharacteristic, complemented
41#17989295C2211yescharacteristic
42#17989294C2211yescharacteristic
43#17989279C2211yescharacteristic, complemented
44#17989275—21no—
45#17989275C2211yescharacteristic, complemented
46#17989273—21no—
47#17989272C2211yescharacteristic
48#17989261—21no—
49#17989260—21no—
50D4×Dic146C2211yescharacteristic
51#17989250C2211yescharacteristic
52#17989245C2211yescharacteristic
53#17989243C2211yescharacteristic
54#17989241C2211yescharacteristic
55#17989237—21no—
56#17989236C2211yescharacteristic
57#17989235—21no—
58#17989231C2211yescharacteristic
59#17989227—21no—
60#17989224—21no—
61#17989217C2211yescharacteristic, complemented
62#17989203—21no—
63#17989196—21no—
64#17989166C2211yescharacteristic
65#17989164—21no—
66#17989160C2211yescharacteristic, complemented
67#17989159—21no—
68#17989157C2211yescharacteristic
69#17989140—21no—
70#17989114—21no—
71#17989096C2211yescharacteristic
72#17989093—21no—
73C2×#14556568—21no—
74C22⋊Q8×D73C2211yescharacteristic
75C22⋊Q8×D73C2211yescharacteristic
76#17989067C2211yescharacteristic, complemented
77#17989066C2211yescharacteristic
78#17989063C2211yescharacteristic, complemented
79C2×#14556549C2211yescharacteristic
80#17988957C2211yescharacteristic, complemented
81#17988954C2211yescharacteristic, complemented
82#17988946C2211yescharacteristic, complemented
83#17988945C2211yescharacteristic, complemented
84#17988940C2211yescharacteristic, complemented
85#17988938C2211yescharacteristic, complemented
86#17988936C2211yescharacteristic, complemented
87#17988931C2211yescharacteristic, complemented
88#17988931C2211yescharacteristic, complemented
89#17988931C2211yescharacteristic, complemented
90#17988928C2211yescharacteristic, complemented
91#17988927C2211yescharacteristic, complemented
92#17988927C2211yescharacteristic, complemented
93#17988924C2211yescharacteristic, complemented
94#17988923C2211yescharacteristic
95#17988923C2211yescharacteristic, complemented
96#17988920C2211yescharacteristic
97#17988917C2211yescharacteristic
98#17988909C2211yescharacteristic, complemented
99#17988899C2211yescharacteristic, complemented
100#17988898C2211yescharacteristic, complemented
101#17988897C2211yescharacteristic, complemented
102#17988891C2211yescharacteristic, complemented
103#17988885C2211yescharacteristic, complemented
104#17988883C2211yescharacteristic, complemented
105#17988881C2211yescharacteristic, complemented
106#17988867C2211yescharacteristic, complemented
107#17988865C2211yescharacteristic, complemented
108#17988846C2211yescharacteristic, complemented
109#17988843C2211yescharacteristic, complemented
110#17988831C2211yescharacteristic, complemented
111#17988830C2211yescharacteristic, complemented
112#17988829C2211yescharacteristic, complemented
113#17988828C2211yescharacteristic
114#17988828C2211yescharacteristic, complemented
115#17988827C2211yescharacteristic, complemented
116#17988827C2211yescharacteristic, complemented
117#17988827C2211yescharacteristic, complemented
118#17988826C2211yescharacteristic
119#17988826C2211yescharacteristic
120#17988825C2211yescharacteristic, complemented
121#17988815C2211yescharacteristic, complemented
122#17988808C2211yescharacteristic, complemented
123#17988807C2211yescharacteristic, complemented
124#17988806C2211yescharacteristic, complemented
125#17988798C2211yescharacteristic, complemented
126#17988797C2211yescharacteristic, complemented
127#17988796C2211yescharacteristic, complemented
128#17988795C2211yescharacteristic, complemented
129#17988750C2211yescharacteristic
130#17988750C2211yescharacteristic
131#17988750C2211yescharacteristic, complemented
132#17988749C2211yescharacteristic, complemented
133#17988746C2211yescharacteristic
134#17988746C2211yescharacteristic
135#17988746C2211yescharacteristic, complemented
136#17988745C2211yescharacteristic
137#17988745C2211yescharacteristic, complemented
138#17988744C2211yescharacteristic, complemented
139#17988742C2211yescharacteristic
140#17988742C2211yescharacteristic, complemented
141#17988741C2211yescharacteristic, complemented
142#17988738C2211yescharacteristic
143#17988693C2211yescharacteristic, complemented
144#17988692C2211yescharacteristic, complemented
145#17988688C2211yescharacteristic, complemented
146#17988687C2211yescharacteristic, complemented
147C4×Dic292C2211yescharacteristic, complemented
148#17988679C2211yescharacteristic, complemented
149#17988678C2211yescharacteristic, complemented
150#17988661C2211yescharacteristic, complemented
151#17988659C2211yescharacteristic
152#17988657C2211yescharacteristic, complemented
153#17988655C2211yescharacteristic
154C8×D292C2211yescharacteristic, complemented
155C8×C22⋊D73C2211yescharacteristic
156C8×C22⋊D73C2211yescharacteristic, complemented
157#17988626C2211yescharacteristic, complemented
158#17988626C2211yescharacteristic, complemented
159#107×D73C2211yescharacteristic, complemented
160#17988612C2211yescharacteristic, complemented
161#17988595C2211yescharacteristic, complemented
162#17988594C2211yescharacteristic, complemented
163#17988594C2211yescharacteristic, complemented
164#17988594C2211yescharacteristic, complemented
165#17988588C2211yescharacteristic, complemented
166#17988585C2211yescharacteristic
167#17988585C2211yescharacteristic
168#17988585C2211yescharacteristic, complemented
169#17988580C2211yescharacteristic
170#17988580C2211yescharacteristic
171#17988580C2211yescharacteristic
172#17988580C2211yescharacteristic
173#17988580C2211yescharacteristic
174#17988580C2211yescharacteristic
175#17988580C2211yescharacteristic
176#17988580C2211yescharacteristic
177#17988580C2211yescharacteristic, complemented
178C2×#14556516C2211yescharacteristic
179C2×#14556516C2211yescharacteristic, complemented
180C2×#14556514C2211yescharacteristic
181#103×D73C2211yescharacteristic, complemented
182#103×D73C2211yescharacteristic, complemented
183#103×D73C2211yescharacteristic, complemented
184C2×#14556512C2211yescharacteristic
185#17988552C2211yescharacteristic, complemented
186#17988549C2211yescharacteristic
187#17988541C2211yescharacteristic, complemented
188#552×C73C2211yescharacteristic
189#546×C73C2211yescharacteristic
190#488×C73C2211yescharacteristic, complemented
191#483×C73C2211yescharacteristic
192#482×C73C2211yescharacteristic, complemented
193#478×C73C2211yescharacteristic, complemented
194#467×C73C2211yescharacteristic
195#465×C73C2211yescharacteristic, complemented
196#464×C73C2211yescharacteristic, complemented
197#452×C73C2211yescharacteristic, complemented
198#450×C73C2211yescharacteristic
199C4×SD16×C73C2211yescharacteristic, complemented
200C8×D4×C73C2211yescharacteristic
201#416×C73C2211yescharacteristic, complemented
202C2×#102×C73C2211yescharacteristic
203#14556638—24no—
204#14556638—42no—
205C2×#11924028—21no—
206C2×#11924028C2311yescharacteristic
207C2×#11924027—21no—
208C2×#11924027—21no—
209C2×#11924027—24no—
210C2×#11924027—21no—
211C2×#11924027—21no—
212C2×#11924027—42no—
213C2×#11924027C2311yescharacteristic
214C2×#11924027C2311yescharacteristic
215C2×#11924027C2311yescharacteristic
216C2×#11924027C2311yescharacteristic
217C2×#11924027C2311yescharacteristic
218C22×Dic146—21no—
219C22×Dic146C2311yescharacteristic
220C22×Dic146C2311yescharacteristic
221C2×Q8×D73C2311yescharacteristic
222C2×Q8×D73C2311yescharacteristic
223C2×Q8×D73C2311yescharacteristic
224C22×C22⋊D73—21no—
225C23×Dic73—21no—
226C22×C4×D73C2311yescharacteristic
227#14556620—24no—
228#14556620—42no—
229C2×Dic292C2311yescharacteristic
230C2×Dic292C2311yescharacteristic
231C2×Dic292C2311yescharacteristic
232C2×#11924018C2311yescharacteristic
233C2×#11924018C2311yescharacteristic
234C2×#11924018C2311yescharacteristic
235C2×#11924018C2311yescharacteristic
236Q16×D73—42no—
237C2×#11924016C2311yescharacteristic
238C2×#11924016C2311yescharacteristic
239#14556597—42no—
240C2×#11924012C2311yescharacteristic
241C2×#11924011C2311yescharacteristic
242C2×#11924011C2311yescharacteristic
243C2×#11924011C2311yescharacteristic
244C22×#10596831C2311yescharacteristic
245C2×C8×D73—42no—
246C2×C8×D73C2311yescharacteristic
247C2×C8×D73C2311yescharacteristic
248C2×C8×D73C2311yescharacteristic
249C2×C8×D73C2311yescharacteristic
250C2×C8×D73C2311yescharacteristic
251#14556591C2311yescharacteristic
252#14556591C2311yescharacteristic
253#14556590—21no—
254#14556590—21no—
255#14556590—21no—
256#14556590—21no—
257#14556590C2311yescharacteristic
258#14556589C2311yescharacteristic
259#14556586—21no—
260#14556586—21no—
261#14556586—21no—
262#14556586—21no—
263#14556586—21no—
264#14556585—21no—
265#14556584—21no—
266#14556582—21no—
267#14556582—21no—
268#14556582—21no—
269#14556582C2311yescharacteristic
270#14556581—21no—
271#14556581—21no—
272#14556581—21no—
273#14556579—21no—
274#14556578C2311yescharacteristic
275#14556577—21no—
276#14556577—21no—
277#14556577—21no—
278#14556577—21no—
279#14556576—21no—
280#14556576—21no—
281#14556576D411yescharacteristic
282#14556575—21no—
283#14556575—21no—
284#14556575—21no—
285#14556574—21no—
286#14556574—21no—
287#14556573—21no—
288#14556573—21no—
289#14556573—21no—
290#14556573D411yescharacteristic
291#14556572—21no—
292#14556572—21no—
293#14556571—21no—
294#14556571—21no—
295#14556571C2311yescharacteristic
296#14556571C2311yescharacteristic
297#14556571C2311yescharacteristic
298#14556571C2311yescharacteristic
299#14556570C2311yescharacteristic
300#14556570C2311yescharacteristic
301#14556570C2311yescharacteristic
302#14556570C2311yescharacteristic
303#14556569—21no—
304#14556569—21no—
305#14556569—21no—
306#14556569—21no—
307#14556569D411yescharacteristic
308#14556568—21no—
309#14556568—21no—
310#14556568—21no—
311#14556568—21no—
312#14556568—21no—
313#14556568—21no—
314#14556568—21no—
315#14556568—21no—
316#14556568—21no—
317#14556568—21no—
318#14556568—21no—
319#14556568—21no—
320#14556568—21no—
321#14556568D411yescharacteristic
322#14556567C2311yescharacteristic
323#14556567C2311yescharacteristic
324#14556567C2311yescharacteristic
325#14556565—21no—
326#14556564—21no—
327#14556564—21no—
328#14556564D411yescharacteristic
329#14556563—21no—
330#14556563—21no—
331#14556563—21no—
332#14556563—21no—
333#14556563D411yescharacteristic
334#14556562—21no—
335#14556562C2311yescharacteristic
336#14556561D411yescharacteristic
337#14556560—21no—
338#14556559D411yescharacteristic
339Q8×Dic73C2311yescharacteristic
340C4×Dic146—21no—
341C4×Dic146—21no—
342C4×Dic146—21no—
343C4×Dic146—21no—
344C4×Dic146C2311yescharacteristic
345C4×Dic146C2311yescharacteristic
346#14556556—21no—
347#14556556C2311yescharacteristic
348#14556556C2311yescharacteristic
349C4×D292—21no—
350C4×D292C2311yescharacteristic
351D4×Dic73—21no—
352D4×Dic73—21no—
353D4×Dic73—21no—
354D4×Dic73C2311yescharacteristic
355C4×C22⋊D73—21no—
356C4×C22⋊D73C2311yescharacteristic
357C4×C22⋊D73C2311yescharacteristic
358#14556551—21no—
359#14556551—21no—
360#14556551—21no—
361#14556551—21no—
362#14556551—21no—
363#14556551—21no—
364#14556550—21no—
365#14556549—21no—
366#14556549—21no—
367#14556549—21no—
368#14556549—21no—
369#14556549C2311yescharacteristic
370#14556549C2311yescharacteristic
371#14556549C2311yescharacteristic
372#14556549C2311yescharacteristic
373#14556549C2311yescharacteristic
374#14556548—21no—
375#14556548C2311yescharacteristic
376#14556547—21no—
377#14556547—21no—
378C2×C4⋊Dic73—21no—
379C2×C4⋊Dic73C2311yescharacteristic
380C2×C4⋊Dic73C2311yescharacteristic
381C2×#11924007—21no—
382C2×#11924007—21no—
383C4⋊C4×D73—21no—
384C4⋊C4×D73—21no—
385C4⋊C4×D73C2311yescharacteristic
386C4⋊C4×D73C2311yescharacteristic
387C4⋊C4×D73C2311yescharacteristic
388C2×C22⋊Dic73—21no—
389C2×#11924005—21no—
390C22⋊C4×D73—21no—
391C22⋊C4×D73—21no—
392C2×C4×Dic73—21no—
393#14556525C2311yescharacteristic
394#14556525C2311yescharacteristic
395#14556525C2311yescharacteristic
396#14556524C2311yescharacteristic
397#14556524C2311yescharacteristic
398#14556524C2311yescharacteristic
399#14556524C2311yescharacteristic
400#14556522C2311yescharacteristic
401#14556522C2311yescharacteristic
402C4⋊#10596831C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556520C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556516C2311yescharacteristic
408#14556516C2311yescharacteristic
409#14556516C2311yescharacteristic
410#14556516C2311yescharacteristic
411#14556516C2311yescharacteristic
412#14556516C2311yescharacteristic
413#14556516C2311yescharacteristic
414#14556516C2311yescharacteristic
415#14556515C2311yescharacteristic
416#14556515C2311yescharacteristic
417#14556515C2311yescharacteristic
418#14556515C2311yescharacteristic
419#14556514C2311yescharacteristic
420#14556514C2311yescharacteristic
421#14556514C2311yescharacteristic
422#14556514C2311yescharacteristic
423#14556514C2311yescharacteristic
424#14556514C2311yescharacteristic
425#14556514C2311yescharacteristic
426#14556514C2311yescharacteristic
427#14556514C2311yescharacteristic
428#14556514C2311yescharacteristic
429#14556512C2311yescharacteristic
430#14556512C2311yescharacteristic
431#14556512C2311yescharacteristic
432#14556512C2311yescharacteristic
433#14556512C2311yescharacteristic
434#14556512C2311yescharacteristic
435C22⋊#10596831C2311yescharacteristic
436C22⋊#10596831C2311yescharacteristic
437#14556503C2311yescharacteristic
438#14556503C2311yescharacteristic
439#14556503C2311yescharacteristic
440#14556503C2311yescharacteristic
441#14556502C2311yescharacteristic
442#14556501C2311yescharacteristic
443C8×Dic73C2311yescharacteristic
444C2×#41×C73C2311yescharacteristic
445C22×D4×C73C2311yescharacteristic
446C2×Q16×C73C2311yescharacteristic
447C2×SD16×C73C2311yescharacteristic
448C2×SD16×C73C2311yescharacteristic
449C22×C8×C73C2311yescharacteristic
450C22×C8×C73C2311yescharacteristic
451#126×C73—21no—
452#125×C73—21no—
453#125×C73C2311yescharacteristic
454#124×C73C2311yescharacteristic
455#123×C73—21no—
456#123×C73—21no—
457C22⋊Q8×C73C2311yescharacteristic
458C22⋊Q8×C73C2311yescharacteristic
459C22⋊Q8×C73C2311yescharacteristic
460#121×C73—21no—
461#121×C73C2311yescharacteristic
462#120×C73—21no—
463C4×Q8×C73C2311yescharacteristic
464C4×D4×C73C2311yescharacteristic
465C4×D4×C73C2311yescharacteristic
466#117×C73—21no—
467#117×C73C2311yescharacteristic
468C2×C4⋊C4×C73C2311yescharacteristic
469C2×C22⋊C4×C73—21no—
470#107×C73C2311yescharacteristic
471#106×C73C2311yescharacteristic
472#106×C73C2311yescharacteristic
473C4⋊C8×C73C2311yescharacteristic
474#103×C73C2311yescharacteristic
475#103×C73C2311yescharacteristic
476#103×C73C2311yescharacteristic
477#103×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481#102×C73C2311yescharacteristic
482#102×C73C2311yescharacteristic
483#102×C73C2311yescharacteristic
484C22⋊C8×C73C2311yescharacteristic
485C22⋊C8×C73C2311yescharacteristic
486C4×C8×C73C2311yescharacteristic
487C23×D73C2×D411yescharacteristic
488#11924028—22no—
489#11924028—22no—
490#11924028—44no—
491#11924027—22no—
492#11924027—22no—
493#11924027—22no—
494#11924027—22no—
495#11924027—22no—
496#11924027—22no—
497#11924027—41no—
498#11924027—41no—
499#11924027—41no—
500#11924027—44no—
501#11924027—44no—
502#11924027—44no—
503#11924027—44no—
504#11924027#4114yes—
505C2×Dic146—22no—
506C2×Dic146—22no—
507C2×Dic146—21no—
508C2×Dic146—21no—
509C2×Dic146—21no—
510C2×Dic146—21no—
511C2×Dic146—21no—
512C2×Dic146—21no—
513C2×Dic146—21no—
514C2×Dic146—41no—
515C2×Dic146—41no—
516C2×Dic146—44no—
517C2×Dic146C2×D411yescharacteristic
518C2×Dic146C2411yescharacteristic
519C2×Dic146C2411yescharacteristic
520C2×Dic146C2411yescharacteristic
521C2×Dic146C2411yescharacteristic
522Q8×D73—22no—
523Q8×D73—22no—
524Q8×D73—22no—
525Q8×D73—22no—
526Q8×D73—22no—
527Q8×D73—41no—
528C2×D292C2×D411yescharacteristic
529C2×D292C2×D411yescharacteristic
530C2×C22⋊D73—21no—
531C2×C22⋊D73—21no—
532C2×C22⋊D73—21no—
533C2×C22⋊D73—21no—
534C2×C22⋊D73—21no—
535C2×C22⋊D73—21no—
536C2×C22⋊D73—44no—
537C2×C22⋊D73C2×D411yescharacteristic
538C2×C22⋊D73C2×D411yescharacteristic
539C2×C22⋊D73C2×D411yescharacteristic
540C2×C22⋊D73C2×D411yescharacteristic
541C22×Dic73—21no—
542C22×Dic73—21no—
543C22×Dic73—21no—
544C22×Dic73—21no—
545C22×Dic73—21no—
546C22×Dic73—21no—
547C22×Dic73—21no—
548C22×Dic73—21no—
549C22×Dic73—21no—
550C22×Dic73—21no—
551C22×Dic73—44no—
552C22×Dic73C2×D411yescharacteristic
553C2×C4×D73—22no—
554C2×C4×D73—22no—
555C2×C4×D73—21no—
556C2×C4×D73—21no—
557C2×C4×D73—21no—
558C2×C4×D73—21no—
559C2×C4×D73—21no—
560C2×C4×D73—21no—
561C2×C4×D73C2×D411yescharacteristic
562C2×C4×D73C2×D411yescharacteristic
563C2×C4×D73C2411yescharacteristic
564C2×C4×D73C2411yescharacteristic
565C2×C4×D73C2411yescharacteristic
566Dic292—22no—
567Dic292—41no—
568Dic292—41no—
569#11924018—22no—
570#11924018—41no—
571#11924018—41no—
572#11924018—41no—
573#11924016—22no—
574#11924016—41no—
575#11924012—41no—
576#11924011—22no—
577#11924011—22no—
578#11924011—41no—
579C2×#10596831—41no—
580C2×#10596831C2411yescharacteristic
581C2×#10596831C2411yescharacteristic
582C2×#10596831C2411yescharacteristic
583C2×#10596831C2411yescharacteristic
584C8×D73—22no—
585C8×D73—22no—
586C8×D73—41no—
587C8×D73—41no—
588C8×D73—41no—
589C4⋊Dic73—21no—
590C4⋊Dic73—21no—
591C4⋊Dic73—21no—
592C4⋊Dic73—21no—
593C4⋊Dic73—21no—
594C4⋊Dic73—21no—
595C4⋊Dic73—21no—
596C4⋊Dic73—21no—
597C4⋊Dic73—21no—
598C4⋊Dic73—21no—
599C4⋊Dic73—21no—
600C4⋊Dic73C2×D411yescharacteristic
601C4⋊Dic73C2411yescharacteristic
602C4⋊Dic73C2411yescharacteristic
603C4⋊Dic73C2411yescharacteristic
604C4⋊Dic73C2411yescharacteristic
605#11924007—21no—
606#11924007—21no—
607#11924007—21no—
608#11924007—21no—
609#11924007—21no—
610#11924007—21no—
611#11924007—21no—
612#11924007—21no—
613#11924007—21no—
614#11924007—21no—
615#11924007—21no—
616#11924007—21no—
617#11924007—21no—
618#11924007—21no—
619#11924007—21no—
620#11924007—21no—
621#11924007—21no—
622#11924007—21no—
623#11924007C2×D411yescharacteristic
624#11924007C2×D411yescharacteristic
625#11924007C2×D411yescharacteristic
626#11924007C2×D411yescharacteristic
627C22⋊Dic73—21no—
628C22⋊Dic73—21no—
629C22⋊Dic73—21no—
630C22⋊Dic73—21no—
631C22⋊Dic73—21no—
632C22⋊Dic73—21no—
633C22⋊Dic73—21no—
634C22⋊Dic73—21no—
635C22⋊Dic73C2×D411yescharacteristic
636C22⋊Dic73C2×D411yescharacteristic
637#11924005—21no—
638#11924005—21no—
639#11924005—21no—
640#11924005—21no—
641#11924005—21no—
642#11924005—21no—
643#11924005—21no—
644#11924005—21no—
645#11924005—21no—
646#11924005—21no—
647#11924005—21no—
648#11924005—21no—
649#11924005C2×D411yescharacteristic
650#11924005C2×D411yescharacteristic
651#11924005C2×D411yescharacteristic
652#11924005C2×D411yescharacteristic
653#11924005C2×D411yescharacteristic
654#11924005C2×D411yescharacteristic
655C4×Dic73—21no—
656C4×Dic73—21no—
657C4×Dic73—21no—
658C4×Dic73—21no—
659C4×Dic73—21no—
660C4×Dic73—21no—
661C4×Dic73—21no—
662C4×Dic73—21no—
663C4×Dic73—21no—
664C4×Dic73—21no—
665C4×Dic73C2411yescharacteristic
666C24×C73—21no—
667#41×C73—22no—
668#41×C73—41no—
669C2×Q8×C73C2411yescharacteristic
670C2×Q8×C73C2411yescharacteristic
671C2×D4×C73—22no—
672C2×D4×C73—21no—
673C2×D4×C73—21no—
674C2×D4×C73—21no—
675C2×D4×C73—41no—
676C2×D4×C73C2×D411yescharacteristic
677C2×D4×C73C2411yescharacteristic
678C2×D4×C73C2411yescharacteristic
679C22×C4×C73—21no—
680C22×C4×C73—21no—
681C22×C4×C73—21no—
682C22×C4×C73C2411yescharacteristic
683C22×C4×C73C2411yescharacteristic
684Q16×C73—41no—
685SD16×C73—22no—
686SD16×C73—41no—
687C2×C8×C73—41no—
688C2×C8×C73—41no—
689C2×C8×C73C2411yescharacteristic
690C2×C8×C73C2411yescharacteristic
691C2×C8×C73C2411yescharacteristic
692C2×C8×C73C2411yescharacteristic
693C4⋊C4×C73—21no—
694C4⋊C4×C73—21no—
695C4⋊C4×C73—21no—
696C4⋊C4×C73—21no—
697C4⋊C4×C73—21no—
698C4⋊C4×C73—21no—
699C4⋊C4×C73—21no—
700C4⋊C4×C73C2×D411yescharacteristic
701C4⋊C4×C73C2411yescharacteristic
702C4⋊C4×C73C2411yescharacteristic
703C4⋊C4×C73C2411yescharacteristic
704C4⋊C4×C73C2411yescharacteristic
705C22⋊C4×C73—21no—
706C22⋊C4×C73—21no—
707C22⋊C4×C73—21no—
708C22⋊C4×C73—21no—
709C22⋊C4×C73—21no—
710C22⋊C4×C73—21no—
711C22⋊C4×C73—21no—
712C22⋊C4×C73—21no—
713C22⋊C4×C73C2×D411yescharacteristic
714C22⋊C4×C73C2×D411yescharacteristic
715C42×C73—21no—
716C42×C73—21no—
717C42×C73C2411yescharacteristic
718C23×C73—21no—
719C23×C73—21no—
720C23×C73—42no—
721C23×C73—42no—
722C23×C73—81no—
723C23×C73C22×D411yescharacteristic
724C23×C73C22×D411yescharacteristic
725C22×D73—22no—
726C22×D73—22no—
727C22×D73—41no—
728C22×D73C22×D411yescharacteristic
729C22×D73C22×D411yescharacteristic
730C22×D73C22×D411yescharacteristic
731Q8×C73—21no—
732Q8×C73—21no—
733Q8×C73—21no—
734Q8×C73—21no—
735D4×C73—22no—
736D4×C73—21no—
737D4×C73—21no—
738D4×C73—21no—
739D4×C73—42no—
740D4×C73—42no—
741D4×C73—81no—
742D4×C73C2×#4112yes—
743C2×C4×C73—21no—
744C2×C4×C73—21no—
745C2×C4×C73—21no—
746C2×C4×C73—21no—
747C2×C4×C73—21no—
748C2×C4×C73—21no—
749C2×C4×C73—21no—
750C2×C4×C73—21no—
751C2×C4×C73—21no—
752C2×C4×C73—21no—
753C2×C4×C73—42no—
754C2×C4×C73—42no—
755C2×C4×C73—81no—
756C2×C4×C73C22×D411yescharacteristic
757C2×C4×C73C22×D411yescharacteristic
758C2×C4×C73C22×D411yescharacteristic
759C2×C4×C73C22×D411yescharacteristic
760C2×C4×C73C2511yescharacteristic
761C22⋊D73—22no—
762C22⋊D73—24no—
763C22⋊D73—22no—
764C22⋊D73—22no—
765C22⋊D73—41no—
766C22⋊D73—42no—
767C22⋊D73—42no—
768C22⋊D73—42no—
769C22⋊D73—42no—
770C22⋊D73—81no—
771C2×Dic73—21no—
772C2×Dic73—22no—
773C2×Dic73—24no—
774C2×Dic73—21no—
775C2×Dic73—21no—
776C2×Dic73—21no—
777C2×Dic73—21no—
778C2×Dic73—21no—
779C2×Dic73—21no—
780C2×Dic73—21no—
781C2×Dic73—42no—
782C2×Dic73—42no—
783C2×Dic73—42no—
784C2×Dic73—42no—
785C2×Dic73—42no—
786C2×Dic73—42no—
787C2×Dic73—81no—
788C2×Dic73—81no—
789C2×Dic73—81no—
790C2×Dic73C22×D411yescharacteristic
791C2×Dic73C22×D411yescharacteristic
792C2×Dic73C22×D411yescharacteristic
793C2×Dic73C22×D411yescharacteristic
794C2×Dic73C22×D411yescharacteristic
795D292—22no—
796D292—41no—
797C4×D73—22no—
798C4×D73—21no—
799C4×D73—21no—
800C4×D73—21no—
801C4×D73—21no—
802C4×D73—22no—
803C4×D73—42no—
804C4×D73—42no—
805C4×D73—42no—
806C4×D73—81no—
807C4×D73—81no—
808C4×D73—81no—
809C4×D73C2×#4112yes—
810C4×D73H(5,𝔽2)12yes—
811Dic146—21no—
812Dic146—22no—
813Dic146—21no—
814Dic146—21no—
815Dic146—21no—
816Dic146—21no—
817Dic146—21no—
818Dic146—21no—
819Dic146—42no—
820Dic146—42no—
821Dic146—42no—
822Dic146—42no—
823Dic146—42no—
824Dic146—81no—
825Dic146—81no—
826Dic146C2×#4112yes—
827C8×C73—21no—
828C8×C73—21no—
829C8×C73—21no—
830C8×C73—21no—
831#10596831—21no—
832#10596831—21no—
833#10596831—21no—
834#10596831—21no—
835C22×C73—21no—
836C22×C73—21no—
837C22×C73—21no—
838C22×C73—22no—
839C22×C73—21no—
840C22×C73—21no—
841C22×C73—41no—
842C22×C73—41no—
843C22×C73—41no—
844C22×C73—41no—
845C22×C73—41no—
846C22×C73—84no—
847C22×C73#57812yes—
848C22×C73C23×D411yescharacteristic
849C2×D73—21no—
850C2×D73—21no—
851C2×D73—21no—
852C2×D73—21no—
853C2×D73—21no—
854C2×D73—21no—
855C2×D73—21no—
856C2×D73—21no—
857C2×D73—44no—
858C2×D73#54612yes—
859C4×C73—21no—
860C4×C73—21no—
861C4×C73—21no—
862C4×C73—21no—
863C4×C73—41no—
864C4×C73—41no—
865C4×C73—41no—
866C4×C73—41no—
867C4×C73—41no—
868C4×C73—41no—
869C4×C73C22×#4111yescharacteristic
870C4×C73C2×H(5,𝔽2)11yescharacteristic
871Dic73—21no—
872Dic73—21no—
873Dic73—22no—
874Dic73—21no—
875Dic73—21no—
876Dic73—41no—
877Dic73—41no—
878Dic73—41no—
879Dic73—41no—
880Dic73—41no—
881Dic73—41no—
882Dic73—41no—
883Dic73#54612yes—
884#61173—731nomaximal, Sylow
885C2×C73—22no—
886C2×C73—41no—
887C2×C73—42no—
888C2×C73—81no—
889C2×C73C2×#54611yescharacteristic
890C2×C73C2×#57811yescharacteristic
891C2×C73#358411yescharacteristic
892D73—22no—
893D73—41no—
894D73—41no—
895#3495—731no—
896#3489—731no—
897#3315—731no—
898#3315—731no—
899#3314—731no—
900#3314—731no—
901#3313—731no—
902#3313—731no—
903#3312—731no—
904#3312—731no—
905#3302—731no—
906#3302—731no—
907#3300—731no—
908#3300—731no—
909#3299—731no—
910#3299—731no—
911#3296—731no—
912#3296D7311yescharacteristic, complemented
913#3137—731no—
914#3098—731no—
915#3095—731no—
916#3083—731no—
917#3063—731no—
918C2×#467—731no—
919#3044—731no—
920#3011—731no—
921#3007—731no—
922#2947—731no—
923#2929—731no—
924#2898—731no—
925C2×#416—731no—
926C73#6117311yescharacteristic, complemented, Sylow
927C2×2−1+4—731no—
928C22×#41—731no—
929C2×#137—731no—
930C2×#137—731no—
931C22×Q16—731no—
932C2×#131—731no—
933C23×C8—731no—
934#556—731no—
935#556—731no—
936#554—731no—
937#554—731no—
938#552—731no—
939#552—731no—
940#552—731no—
941#552—1461no—
942#552—1461no—
943#552C2×D7311yescharacteristic
944#551—1461no—
945#551—1461no—
946D4×Q8—731no—
947D4×Q8—731no—
948#548—731no—
949#548—731no—
950#547—731no—
951#547—731no—
952#547—1461no—
953#547—1461no—
954#546—731no—
955#546—1461no—
956#546—1461no—
957#546C2×D7311yescharacteristic
958#544—731no—
959#542—1461no—
960#541—1461no—
961#537—731no—
962#537—1461no—
963#536—731no—
964#536—731no—
965#536—1461no—
966#533—1461no—
967#529—1461no—
968#525—731no—
969#525—1461no—
970C2×C22⋊Q8—731no—
971C2×C22⋊Q8—731no—
972C2×C22⋊Q8—1461no—
973#520—731no—
974#520—731no—
975#519—731no—
976C2×#117—731no—
977#491—731no—
978#491—731no—
979#489—731no—
980#489—731no—
981#488—731no—
982#488C2×D7311yescharacteristic, complemented
983#487—731no—
984#487—731no—
985#485—731no—
986#485—731no—
987#485—731no—
988#485—731no—
989#485—731no—
990#485—731no—
991#484—731no—
992#484—731no—
993#484—731no—
994#484—731no—
995#483—731no—
996#483C2×D7311yescharacteristic
997#482—731no—
998#482C2×D7311yescharacteristic, complemented
999#480—731no—
1000#480—731no—
1001#479—731no—
1002#479—731no—
1003#478—731no—
1004#478C2×D7311yescharacteristic, complemented
1005#477—731no—
1006#477—731no—
1007#474—731no—
1008#474—731no—
1009#470—731no—
1010#470—731no—
1011#468—731no—
1012#468—731no—
1013#467—731no—
1014#467—731no—
1015#467—731no—
1016#467—731no—
1017#467—731no—
1018#467—731no—
1019#467—731no—
1020#467—731no—
1021#467—731no—
1022#467C2×D7311yescharacteristic
1023#465—731no—
1024#465C2×D7311yescharacteristic, complemented
1025#464—731no—
1026#464—731no—
1027#464—731no—
1028#464C2×D7311yescharacteristic, complemented
1029#462—731no—
1030#462—731no—
1031#462—731no—
1032#462—731no—
1033#452—731no—
1034#452—731no—
1035#452—731no—
1036#452—731no—
1037#452—731no—
1038#452—731no—
1039#452—731no—
1040#452C2×D7311yescharacteristic, complemented
1041#451—731no—
1042#451—731no—
1043#451—731no—
1044#451—731no—
1045#451—731no—
1046#451—731no—
1047#450—731no—
1048#450C2×D7311yescharacteristic
1049#441—731no—
1050#441—731no—
1051#440—731no—
1052#440—731no—
1053C4×Q16—731no—
1054C4×Q16—731no—
1055C4×SD16—731no—
1056C4×SD16C2×D7311yescharacteristic, complemented
1057#435—731no—
1058#435—731no—
1059#435—731no—
1060#435—731no—
1061C8×D4—731no—
1062C8×D4—731no—
1063C8×D4—731no—
1064C8×D4C2×D7311yescharacteristic
1065#428—731no—
1066#428—731no—
1067C2×#107—731no—
1068#424—731no—
1069#419—731no—
1070#419—731no—
1071#419—731no—
1072#419—731no—
1073#417—731no—
1074#417—731no—
1075#417—731no—
1076#417—731no—
1077#416—731no—
1078#416—731no—
1079#416—731no—
1080#416—731no—
1081#416—731no—
1082#416—731no—
1083#416—731no—
1084#416—731no—
1085#416—731no—
1086#416C2×D7311yescharacteristic, complemented
1087C2×#103—731no—
1088C2×#103—731no—
1089C2×#103—731no—
1090C2×#103—731no—
1091C2×#103—731no—
1092C2×#103—731no—
1093C2×#102—731no—
1094C2×#102C2×D7311yescharacteristic
1095#408—731no—
1096#407—731no—
1097#405—731no—
10982−1+4—2922no—
10992−1+4—1464no—
1100C2×#41—2922no—
1101C2×#41—731no—
1102C2×#41—731no—
1103C2×#41—731no—
1104C2×#41—731no—
1105C2×#41—731no—
1106C2×#41—731no—
1107C2×#41—1461no—
1108C2×#41—1464no—
1109C2×#41—1461no—
1110C2×#41—1461no—
1111C2×#41—1461no—
1112C2×#41—1461no—
1113C2×#41C22×D7311yescharacteristic
1114C22×Q8—731no—
1115C22×Q8—731no—
1116C22×Q8—731no—
1117C22×Q8—731no—
1118C22×Q8—731no—
1119C22×Q8—1461no—
1120C22×D4—1461no—
1121C22×D4C22×D7311yescharacteristic
1122C23×C4—731no—
1123C23×C4—1461no—
1124#137—2922no—
1125#137—1464no—
1126C2×Q16—2922no—
1127C2×Q16—731no—
1128C2×Q16—731no—
1129C2×Q16—731no—
1130C2×Q16—731no—
1131C2×Q16—731no—
1132C2×Q16—731no—
1133C2×Q16—731no—
1134C2×Q16C22×D7311yescharacteristic
1135C2×SD16—731no—
1136C2×SD16—731no—
1137C2×SD16C22×D7311yescharacteristic
1138C2×SD16C22×D7311yescharacteristic
1139#131—2922no—
1140C2×M16—731no—
1141C2×M16—731no—
1142C2×M16—731no—
1143C2×M16—731no—
1144C22×C8—2922no—
1145C22×C8—731no—
1146C22×C8—731no—
1147C22×C8—731no—
1148C22×C8—731no—
1149C22×C8—731no—
1150C22×C8—731no—
1151C22×C8C22×D7311yescharacteristic
1152C22×C8C22×D7311yescharacteristic
1153C4⋊Q8—731no—
1154C4⋊Q8—731no—
1155C4⋊Q8—731no—
1156C4⋊Q8—731no—
1157C4⋊Q8—1461no—
1158C4⋊Q8—1461no—
1159C4⋊Q8—1461no—
1160C4⋊Q8—1461no—
1161#126—21no—
1162#126—1461no—
1163#126—1461no—
1164#126—1461no—
1165#126—1461no—
1166#126—1461no—
1167#126—1461no—
1168#126—1461no—
1169#125—21no—
1170#125—731no—
1171#125—1461no—
1172#125—1461no—
1173#125—1461no—
1174#125—1461no—
1175#125—1461no—
1176#125—1461no—
1177#125C22×D7311yescharacteristic
1178#124—731no—
1179#124—1461no—
1180#124—1461no—
1181#124—1461no—
1182#124—1461no—
1183#124—1461no—
1184#124C22×D7311yescharacteristic
1185#123—21no—
1186#123—21no—
1187#123—731no—
1188#123—731no—
1189#123—1461no—
1190#123—1461no—
1191#123—1461no—
1192#123—1461no—
1193#123—1461no—
1194#123—1461no—
1195#123—1461no—
1196#123—1461no—
1197#123—1461no—
1198#123—1461no—
1199#123—1461no—
1200#123—1461no—
1201C22⋊Q8—731no—
1202C22⋊Q8—731no—
1203C22⋊Q8—731no—
1204C22⋊Q8—731no—
1205C22⋊Q8—731no—
1206C22⋊Q8—731no—
1207C22⋊Q8—731no—
1208C22⋊Q8—731no—
1209C22⋊Q8—731no—
1210C22⋊Q8—731no—
1211C22⋊Q8—731no—
1212C22⋊Q8—731no—
1213C22⋊Q8—731no—
1214C22⋊Q8—1461no—
1215C22⋊Q8—1461no—
1216C22⋊Q8—1461no—
1217C22⋊Q8—1461no—
1218C22⋊Q8—1461no—
1219C22⋊Q8—1461no—
1220C22⋊Q8—1461no—
1221C22⋊Q8—1461no—
1222C22⋊Q8—1461no—
1223C22⋊Q8—1461no—
1224C22⋊Q8—1461no—
1225C22⋊Q8—1461no—
1226C22⋊Q8—1461no—
1227C22⋊Q8—1461no—
1228C22⋊Q8—1461no—
1229C22⋊Q8—1461no—
1230C22⋊Q8—1461no—
1231C22⋊Q8—1461no—
1232C22⋊Q8—1461no—
1233C22⋊Q8C22×D7311yescharacteristic
1234C22⋊Q8C22×D7311yescharacteristic
1235C22⋊Q8C22×D7311yescharacteristic
1236#121—21no—
1237#121—731no—
1238#121—731no—
1239#121—731no—
1240#121—1461no—
1241#121—1461no—
1242#121—1461no—
1243#121—1461no—
1244#121—1461no—
1245#121—1461no—
1246#121—1461no—
1247#121—1461no—
1248#121C22×D7311yescharacteristic
1249#120—21no—
1250#120—731no—
1251#120—731no—
1252#120—1461no—
1253C4×Q8—731no—
1254C4×Q8—731no—
1255C4×Q8—731no—
1256C4×Q8—731no—
1257C4×Q8—731no—
1258C4×Q8—1461no—
1259C4×Q8—1461no—
1260C4×Q8—1461no—
1261C4×Q8—1461no—
1262C4×Q8—1461no—
1263C4×Q8C22×D7311yescharacteristic
1264C4×D4—731no—
1265C4×D4—731no—
1266C4×D4—731no—
1267C4×D4—731no—
1268C4×D4—1461no—
1269C4×D4—1461no—
1270C4×D4—1461no—
1271C4×D4—1461no—
1272C4×D4—1461no—
1273C4×D4—1461no—
1274C4×D4—1461no—
1275C4×D4—1461no—
1276C4×D4—1461no—
1277C4×D4—1461no—
1278C4×D4—1461no—
1279C4×D4C22×D7311yescharacteristic
1280C4×D4C22×D7311yescharacteristic
1281#117—21no—
1282#117—731no—
1283#117—731no—
1284#117—731no—
1285#117—731no—
1286#117—731no—
1287#117—731no—
1288#117—1461no—
1289#117—1461no—
1290#117—1461no—
1291#117—1461no—
1292#117—1461no—
1293#117—1461no—
1294#117—1461no—
1295#117—1461no—
1296#117C22×D7311yescharacteristic
1297C2×C4⋊C4—731no—
1298C2×C4⋊C4—731no—
1299C2×C4⋊C4—731no—
1300C2×C4⋊C4—731no—
1301C2×C4⋊C4—731no—
1302C2×C4⋊C4—1461no—
1303C2×C4⋊C4—1461no—
1304C2×C4⋊C4—1461no—
1305C2×C4⋊C4—1461no—
1306C2×C4⋊C4—1461no—
1307C2×C4⋊C4C22×D7311yescharacteristic
1308C2×C22⋊C4—21no—
1309C2×C22⋊C4—1461no—
1310C2×C22⋊C4—1461no—
1311C2×C22⋊C4—1461no—
1312C2×C22⋊C4—1461no—
1313C2×C42—1461no—
1314#107—731no—
1315#107—731no—
1316#107—731no—
1317#107—731no—
1318#107—731no—
1319#107—731no—
1320#107—731no—
1321#107C22×D7311yescharacteristic
1322#106—731no—
1323#106—731no—
1324#106C22×D7311yescharacteristic
1325#106C22×D7311yescharacteristic
1326C4⋊C8—731no—
1327C4⋊C8—731no—
1328C4⋊C8—731no—
1329C4⋊C8C22×D7311yescharacteristic
1330#103—731no—
1331#103—731no—
1332#103—731no—
1333#103—731no—
1334#103—731no—
1335#103—731no—
1336#103—731no—
1337#103—731no—
1338#103—731no—
1339#103—731no—
1340#103—731no—
1341#103—731no—
1342#103—731no—
1343#103—731no—
1344#103—731no—
1345#103—731no—
1346#103—731no—
1347#103—731no—
1348#103—731no—
1349#103—731no—
1350#103—731no—
1351#103—731no—
1352#103—731no—
1353#103—731no—
1354#103C22×D7311yescharacteristic
1355#103C22×D7311yescharacteristic
1356#103C22×D7311yescharacteristic
1357#103C22×D7311yescharacteristic
1358#102—731no—
1359#102—731no—
1360#102—731no—
1361#102—731no—
1362#102—731no—
1363#102—731no—
1364#102C22×D7311yescharacteristic
1365#102C22×D7311yescharacteristic
1366#102C22×D7311yescharacteristic
1367#102C22×D7311yescharacteristic
1368#102C22×D7311yescharacteristic
1369#102C22×D7311yescharacteristic
1370C22⋊C8—731no—
1371C22⋊C8—731no—
1372C22⋊C8—731no—
1373C22⋊C8—731no—
1374C22⋊C8—731no—
1375C22⋊C8—731no—
1376C22⋊C8C22×D7311yescharacteristic
1377C22⋊C8C22×D7311yescharacteristic
1378#97—731no—
1379#97—731no—
1380C4×C8—731no—
1381C4×C8C22×D7311yescharacteristic
1382C24—21no—
1383C24—731no—
1384#41—22no—
1385#41—41no—
1386#41—2924no—
1387#41—2924no—
1388#41—2921no—
1389#41—2921no—
1390#41—2921no—
1391#41—2924no—
1392#41—2924no—
1393#41—2924no—
1394#41—734no—
1395#41—1462no—
1396#41—1462no—
1397#41—1462no—
1398#41—1462no—
1399#41—1462no—
1400#41—1462no—
1401#41—1462no—
1402#41—1462no—
1403C2×Q8—2921no—
1404C2×Q8—2921no—
1405C2×Q8—2924no—
1406C2×Q8—2921no—
1407C2×Q8—731no—
1408C2×Q8—731no—
1409C2×Q8—731no—
1410C2×Q8—731no—
1411C2×Q8—731no—
1412C2×Q8—1462no—
1413C2×Q8—1462no—
1414C2×Q8—1461no—
1415C2×Q8—1461no—
1416C2×Q8—1461no—
1417C2×Q8—1461no—
1418C2×Q8—1462no—
1419C2×Q8—1462no—
1420C2×Q8—1462no—
1421C2×Q8—1462no—
1422C2×Q8—1462no—
1423C2×Q8—1461no—
1424C2×Q8—1461no—
1425C2×Q8—1461no—
1426C2×Q8C23×D7311yescharacteristic
1427C2×Q8C23×D7311yescharacteristic
1428C2×D4—22no—
1429C2×D4—21no—
1430C2×D4—21no—
1431C2×D4—21no—
1432C2×D4—41no—
1433C2×D4—2924no—
1434C2×D4—731no—
1435C2×D4—731no—
1436C2×D4—731no—
1437C2×D4—731no—
1438C2×D4—731no—
1439C2×D4—731no—
1440C2×D4—1461no—
1441C2×D4—1461no—
1442C2×D4—1461no—
1443C2×D4—1461no—
1444C2×D4—1461no—
1445C2×D4—1461no—
1446C2×D4D4×D7311yescharacteristic
1447C2×D4C23×D7311yescharacteristic
1448C2×D4C23×D7311yescharacteristic
1449C22×C4—21no—
1450C22×C4—21no—
1451C22×C4—21no—
1452C22×C4—2924no—
1453C22×C4—731no—
1454C22×C4—731no—
1455C22×C4—731no—
1456C22×C4—731no—
1457C22×C4—731no—
1458C22×C4—731no—
1459C22×C4—1461no—
1460C22×C4—1461no—
1461C22×C4—1461no—
1462C22×C4—1461no—
1463C22×C4—1461no—
1464C22×C4—1461no—
1465C22×C4—1462no—
1466C22×C4—1462no—
1467C22×C4—1461no—
1468C22×C4—1461no—
1469C22×C4—1461no—
1470C22×C4—1461no—
1471C22×C4—1461no—
1472C22×C4—1461no—
1473C22×C4—1461no—
1474C22×C4—1461no—
1475C22×C4—1461no—
1476C22×C4—1461no—
1477C22×C4C23×D7311yescharacteristic
1478C22×C4C23×D7311yescharacteristic
1479Q16—41no—
1480Q16—2921no—
1481Q16—2921no—
1482Q16—2921no—
1483Q16—2921no—
1484Q16—2921no—
1485Q16—1462no—
1486Q16—1462no—
1487SD16—22no—
1488SD16—41no—
1489SD16—2921no—
1490SD16—1462no—
1491M16—2921no—
1492M16—2921no—
1493M16—1462no—
1494M16—1462no—
1495C2×C8—41no—
1496C2×C8—41no—
1497C2×C8—2921no—
1498C2×C8—2921no—
1499C2×C8—2921no—
1500C2×C8—2921no—
1501C2×C8—731no—
1502C2×C8—731no—
1503C2×C8—731no—
1504C2×C8—731no—
1505C2×C8—1462no—
1506C2×C8—1462no—
1507C2×C8C23×D7311yescharacteristic
1508C2×C8C23×D7311yescharacteristic
1509C2×C8C23×D7311yescharacteristic
1510C2×C8C23×D7311yescharacteristic
1511C4⋊C4—21no—
1512C4⋊C4—21no—
1513C4⋊C4—21no—
1514C4⋊C4—21no—
1515C4⋊C4—21no—
1516C4⋊C4—21no—
1517C4⋊C4—21no—
1518C4⋊C4—731no—
1519C4⋊C4—731no—
1520C4⋊C4—731no—
1521C4⋊C4—731no—
1522C4⋊C4—731no—
1523C4⋊C4—731no—
1524C4⋊C4—731no—
1525C4⋊C4—731no—
1526C4⋊C4—731no—
1527C4⋊C4—1461no—
1528C4⋊C4—1461no—
1529C4⋊C4—1461no—
1530C4⋊C4—1461no—
1531C4⋊C4—1461no—
1532C4⋊C4—1461no—
1533C4⋊C4—1461no—
1534C4⋊C4—1461no—
1535C4⋊C4—1461no—
1536C4⋊C4—1461no—
1537C4⋊C4—1461no—
1538C4⋊C4—1461no—
1539C4⋊C4—1461no—
1540C4⋊C4—1461no—
1541C4⋊C4—1461no—
1542C4⋊C4—1461no—
1543C4⋊C4—1461no—
1544C4⋊C4—1461no—
1545C4⋊C4—1461no—
1546C4⋊C4—1461no—
1547C4⋊C4—1461no—
1548C4⋊C4—1461no—
1549C4⋊C4—1461no—
1550C4⋊C4—1461no—
1551C4⋊C4—1461no—
1552C4⋊C4—1461no—
1553C4⋊C4—1461no—
1554C4⋊C4—1461no—
1555C4⋊C4—1461no—
1556C4⋊C4D4×D7311yescharacteristic
1557C4⋊C4C23×D7311yescharacteristic
1558C4⋊C4C23×D7311yescharacteristic
1559C4⋊C4C23×D7311yescharacteristic
1560C4⋊C4C23×D7311yescharacteristic
1561C22⋊C4—21no—
1562C22⋊C4—21no—
1563C22⋊C4—21no—
1564C22⋊C4—21no—
1565C22⋊C4—21no—
1566C22⋊C4—21no—
1567C22⋊C4—21no—
1568C22⋊C4—21no—
1569C22⋊C4—731no—
1570C22⋊C4—731no—
1571C22⋊C4—731no—
1572C22⋊C4—731no—
1573C22⋊C4—731no—
1574C22⋊C4—731no—
1575C22⋊C4—731no—
1576C22⋊C4—731no—
1577C22⋊C4—1461no—
1578C22⋊C4—1461no—
1579C22⋊C4—1461no—
1580C22⋊C4—1461no—
1581C22⋊C4—1461no—
1582C22⋊C4—1461no—
1583C22⋊C4—1461no—
1584C22⋊C4—1461no—
1585C22⋊C4—1461no—
1586C22⋊C4—1461no—
1587C22⋊C4—1461no—
1588C22⋊C4—1461no—
1589C22⋊C4—1461no—
1590C22⋊C4—1461no—
1591C22⋊C4—1461no—
1592C22⋊C4—1461no—
1593C22⋊C4—1461no—
1594C22⋊C4—1461no—
1595C22⋊C4—1461no—
1596C22⋊C4—1461no—
1597C22⋊C4D4×D7311yescharacteristic
1598C22⋊C4D4×D7311yescharacteristic
1599C42—21no—
1600C42—21no—
1601C42—731no—
1602C42—1461no—
1603C42—1461no—
1604C42—1461no—
1605C42—1461no—
1606C42—1461no—
1607C42—1461no—
1608C42—1461no—
1609C42—1461no—
1610C42—1461no—
1611C42—1461no—
1612C42C23×D7311yescharacteristic
1613C23—21no—
1614C23—21no—
1615C23—42no—
1616C23—42no—
1617C23—81no—
1618C23—2921no—
1619C23—731no—
1620C23—731no—
1621C23—731no—
1622C23—1462no—
1623C23—1462no—
1624C23C2×D4×D7311yescharacteristic
1625C23C2×D4×D7311yescharacteristic
1626Q8—21no—
1627Q8—21no—
1628Q8—21no—
1629Q8—21no—
1630Q8—2922no—
1631Q8—2922no—
1632Q8—2922no—
1633Q8—2922no—
1634Q8—2922no—
1635Q8—5841no—
1636Q8—5841no—
1637Q8—732no—
1638Q8—1462no—
1639Q8—1461no—
1640Q8—1461no—
1641Q8—1461no—
1642Q8—1461no—
1643Q8—1461no—
1644Q8—1461no—
1645Q8—1461no—
1646D4—22no—
1647D4—21no—
1648D4—21no—
1649D4—21no—
1650D4—42no—
1651D4—42no—
1652D4—81no—
1653D4—2921no—
1654D4—2922no—
1655D4—2922no—
1656D4—2922no—
1657D4—2921no—
1658D4—2922no—
1659D4—5841no—
1660D4—1462no—
1661D4—1462no—
1662D4—1464no—
1663D4—1462no—
1664D4—1462no—
1665D4#41×D7312yes—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—42no—
1677C2×C4—42no—
1678C2×C4—81no—
1679C2×C4—2922no—
1680C2×C4—2922no—
1681C2×C4—2922no—
1682C2×C4—2922no—
1683C2×C4—2922no—
1684C2×C4—2922no—
1685C2×C4—2922no—
1686C2×C4—2922no—
1687C2×C4—2922no—
1688C2×C4—5841no—
1689C2×C4—5841no—
1690C2×C4—5841no—
1691C2×C4—5841no—
1692C2×C4—5841no—
1693C2×C4—5841no—
1694C2×C4—731no—
1695C2×C4—732no—
1696C2×C4—732no—
1697C2×C4—731no—
1698C2×C4—731no—
1699C2×C4—731no—
1700C2×C4—731no—
1701C2×C4—1462no—
1702C2×C4—1462no—
1703C2×C4—1461no—
1704C2×C4—1461no—
1705C2×C4—1461no—
1706C2×C4—1461no—
1707C2×C4—1461no—
1708C2×C4—1461no—
1709C2×C4—1461no—
1710C2×C4—1462no—
1711C2×C4—1464no—
1712C2×C4—1461no—
1713C2×C4—1461no—
1714C2×C4—1461no—
1715C2×C4—1461no—
1716C2×C4—1461no—
1717C2×C4C2×D4×D7311yescharacteristic
1718C2×C4C2×D4×D7311yescharacteristic
1719C2×C4C2×D4×D7311yescharacteristic
1720C2×C4C2×D4×D7311yescharacteristic
1721C2×C4C24×D7311yescharacteristic
1722C8—21no—
1723C8—21no—
1724C8—21no—
1725C8—21no—
1726C8—1461no—
1727C8—1461no—
1728C8—1461no—
1729C8—1461no—
1730C22—21no—
1731C22—21no—
1732C22—21no—
1733C22—22no—
1734C22—21no—
1735C22—21no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—84no—
1742C22—2924no—
1743C22—732no—
1744C22—1461no—
1745C22—1461no—
1746C22—1461no—
1747C22—1461no—
1748C22—1461no—
1749C22—1461no—
1750C22—1461no—
1751C22—1461no—
1752C22#1798940112yes—
1753C22C22×D4×D7311yescharacteristic
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—21no—
1758C4—41no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—41no—
1764C4—2921no—
1765C4—2921no—
1766C4—2921no—
1767C4—2921no—
1768C4—2921no—
1769C4—2921no—
1770C4—2921no—
1771C4—732no—
1772C4—1461no—
1773C4—1462no—
1774C4—1461no—
1775C4—1461no—
1776C4—1461no—
1777C4C2×#41×D7311yescharacteristic
1778C4H(5,𝔽2)×D7311yescharacteristic
1779C2—22no—
1780C2—41no—
1781C2—42no—
1782C2—81no—
1783C2—2921no—
1784C2—2921no—
1785C2—1462no—
1786C2#546×D7311yescharacteristic
1787C2C2×#1798940111yescharacteristic
1788C2#2262470311yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3296C2
socleC22×C73C23×D4
prime radical#22623602C2
hypercenter#3296D73
hypocenterC73#61173
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3296

Complements

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

NH ≅ G/Ntype
1. #22623672C2semidirect
3. #22622024C2semidirect
4. #22622020C2semidirect
5. #22622016C2semidirect
6. #22622012C2semidirect
7. #22622004C2semidirect
8. #22622000C2semidirect
9. #22621980C2semidirect
10. #22621976C2semidirect
11. #22621850C2semidirect
12. #22621844C2semidirect
13. #22621824C2semidirect
14. #22621817C2semidirect
15. #22621808C2semidirect
16. #22621802C2semidirect
17. #22621762C2semidirect
18. #22620295C2semidirect
19. #22619906C2semidirect
20. #22619874C2semidirect
21. #22619783C2semidirect
22. #22619615C2semidirect
23. #467×D73C2semidirect
24. #22619459C2semidirect
25. #22619223C2semidirect
26. #22619186C2semidirect
27. #22618767C2semidirect
28. #22618620C2semidirect
29. #22618460C2semidirect
30. C2×#17988580C2semidirect
31. C73×#3296C2semidirect
36. C2×Q16×D73C22semidirect
37. C2×#14556597C22semidirect
39. #17989310C22semidirect
40. #17989305C22semidirect
43. #17989279C22semidirect
45. #17989275C22semidirect
61. #17989217C22semidirect
66. #17989160C22semidirect
76. #17989067C22semidirect
78. #17989063C22semidirect
80. #17988957C22semidirect
81. #17988954C22semidirect
82. #17988946C22semidirect
83. #17988945C22semidirect
84. #17988940C22semidirect
85. #17988938C22semidirect
86. #17988936C22semidirect
87. #17988931C22semidirect
88. #17988931C22semidirect
89. #17988931C22semidirect
90. #17988928C22semidirect
91. #17988927C22semidirect
92. #17988927C22semidirect
93. #17988924C22semidirect
95. #17988923C22semidirect
98. #17988909C22semidirect
99. #17988899C22semidirect
100. #17988898C22semidirect
101. #17988897C22semidirect
102. #17988891C22semidirect
103. #17988885C22semidirect
104. #17988883C22semidirect
105. #17988881C22semidirect
106. #17988867C22semidirect
107. #17988865C22semidirect
108. #17988846C22semidirect
109. #17988843C22semidirect
110. #17988831C22semidirect
111. #17988830C22semidirect
112. #17988829C22semidirect
114. #17988828C22semidirect
115. #17988827C22semidirect
116. #17988827C22semidirect
117. #17988827C22semidirect
120. #17988825C22semidirect
121. #17988815C22semidirect
122. #17988808C22semidirect
123. #17988807C22semidirect
124. #17988806C22semidirect
125. #17988798C22semidirect
126. #17988797C22semidirect
127. #17988796C22semidirect
128. #17988795C22semidirect
131. #17988750C22semidirect
132. #17988749C22semidirect
135. #17988746C22semidirect
137. #17988745C22semidirect
138. #17988744C22semidirect
140. #17988742C22semidirect
141. #17988741C22semidirect
143. #17988693C22semidirect
144. #17988692C22semidirect
145. #17988688C22semidirect
146. #17988687C22semidirect
147. C4×Dic292C22semidirect
148. #17988679C22semidirect
149. #17988678C22semidirect
150. #17988661C22semidirect
152. #17988657C22semidirect
154. C8×D292C22semidirect
156. C8×C22⋊D73C22semidirect
157. #17988626C22semidirect
158. #17988626C22semidirect
159. #107×D73C22semidirect
160. #17988612C22semidirect
161. #17988595C22semidirect
162. #17988594C22semidirect
163. #17988594C22semidirect
164. #17988594C22semidirect
165. #17988588C22semidirect
168. #17988585C22semidirect
177. #17988580C22semidirect
179. C2×#14556516C22semidirect
181. #103×D73C22semidirect
182. #103×D73C22semidirect
183. #103×D73C22semidirect
185. #17988552C22semidirect
187. #17988541C22semidirect
190. #488×C73C22semidirect
192. #482×C73C22semidirect
193. #478×C73C22semidirect
195. #465×C73C22semidirect
196. #464×C73C22semidirect
197. #452×C73C22semidirect
199. C4×SD16×C73C22semidirect
201. #416×C73C22semidirect
912. #3296D73semidirect
926. C73#61173semidirect
982. #488C2×D73semidirect
998. #482C2×D73semidirect
1004. #478C2×D73semidirect
1024. #465C2×D73semidirect
1028. #464C2×D73semidirect
1040. #452C2×D73semidirect
1056. C4×SD16C2×D73semidirect
1086. #416C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226236722
#226236022
#226220242
#226220202
#226220162
#226220122
#226220042
#226220002
#226219802
#226219762
#226218502
#226218442
#226218242
#226218172
#226218082
#226218022
#226217622
#226202952
#226199062
#226198742
#226197832
#226196152
#467×D732
#226194592
#226192232
#226191862
#226187672
#226186202
#226184602
C2×#179885802
C73×#32962
#6117373