Finite Group Databasebeta

← #33979566

Subgroups — #33979566

Order 18688.

1836 conjugacy classes of subgroups.

The subgroup lattice has 1758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624440C211yesmaximal, characteristic
2#22624022C211yesmaximal, characteristic, complemented
3#22622981C211yesmaximal, characteristic, complemented
4#22622979C211yesmaximal, characteristic, complemented
5#22622704C211yesmaximal, characteristic, complemented
6#22622696C211yesmaximal, characteristic, complemented
7#22621969C211yesmaximal, characteristic, complemented
8#22621967C211yesmaximal, characteristic, complemented
9#22621947C211yesmaximal, characteristic, complemented
10#22621945C211yesmaximal, characteristic, complemented
11#22621813C211yesmaximal, characteristic, complemented
12#22621811C211yesmaximal, characteristic, complemented
13SD16×C22⋊D73C211yesmaximal, characteristic, complemented
14#22621620C211yesmaximal, characteristic, complemented
15#22621504C211yesmaximal, characteristic, complemented
16#22621495C211yesmaximal, characteristic, complemented
17#22621442C211yesmaximal, characteristic, complemented
18#22621360C211yesmaximal, characteristic, complemented
19#22621358C211yesmaximal, characteristic, complemented
20#22621244C211yesmaximal, characteristic, complemented
21#22621001C211yesmaximal, characteristic, complemented
22#22620999C211yesmaximal, characteristic, complemented
23#22620929C211yesmaximal, characteristic, complemented
24#22620161C211yesmaximal, characteristic, complemented
25#22620153C211yesmaximal, characteristic, complemented
26#22620051C211yesmaximal, characteristic, complemented
27#22619454C211yesmaximal, characteristic, complemented
28#22619449C211yesmaximal, characteristic, complemented
29#464×D73C211yesmaximal, characteristic, complemented
30#22619066C211yesmaximal, characteristic, complemented
31C73×#3266C211yesmaximal, characteristic, complemented
32C2×#14556622C2211yescharacteristic, complemented
33C2×Q16×D73C2211yescharacteristic, complemented
34C22×#11924015C2211yescharacteristic, complemented
35C2×SD16×D73C2211yescharacteristic
36#17989334—21no—
37#17989330—21no—
38#17989320C2211yescharacteristic
39#17989319C2211yescharacteristic
40#17989316C2211yescharacteristic, complemented
41#17989312—21no—
42#17989312C2211yescharacteristic, complemented
43#17989307—21no—
44#17989307C2211yescharacteristic, complemented
45#17989271—21no—
46#17989271—21no—
47#17989271C2211yescharacteristic, complemented
48#17989271C2211yescharacteristic, complemented
49Q8×C22⋊D73C2211yescharacteristic, complemented
50Q8×C22⋊D73C2211yescharacteristic, complemented
51#17989247C2211yescharacteristic
52#17989244C2211yescharacteristic
53#17989234—21no—
54#17989233C2211yescharacteristic
55#17989227—21no—
56#17989221C2211yescharacteristic
57D4×C22⋊D73C2211yescharacteristic
58#17989210C2211yescharacteristic
59#17989204C2211yescharacteristic
60#17989197—21no—
61#17989197—21no—
62#17989197C2211yescharacteristic, complemented
63#17989197C2211yescharacteristic, complemented
64#17989175—21no—
65#17989173—21no—
66#17989169—21no—
67#17989154C2211yescharacteristic
68#17989151C2211yescharacteristic
69#17989147—21no—
70#17989142—21no—
71#17989142C2211yescharacteristic, complemented
72#17989134C2211yescharacteristic
73#17989119—21no—
74#17989119C2211yescharacteristic
75#124×D73C2211yescharacteristic
76#17989065C2211yescharacteristic, complemented
77#17989065C2211yescharacteristic, complemented
78C4×Q8×D73C2211yescharacteristic, complemented
79#17988980C2211yescharacteristic, complemented
80#17988979C2211yescharacteristic, complemented
81#17988978C2211yescharacteristic, complemented
82#17988958C2211yescharacteristic
83#17988958C2211yescharacteristic
84#17988950C2211yescharacteristic
85#17988950C2211yescharacteristic
86#17988947C2211yescharacteristic, complemented
87#17988946C2211yescharacteristic, complemented
88#17988943C2211yescharacteristic, complemented
89#17988940C2211yescharacteristic, complemented
90#17988929C2211yescharacteristic, complemented
91#17988925C2211yescharacteristic, complemented
92#17988912C2211yescharacteristic
93#17988908C2211yescharacteristic
94#17988902C2211yescharacteristic, complemented
95#17988899C2211yescharacteristic, complemented
96#17988893C2211yescharacteristic, complemented
97#17988892C2211yescharacteristic, complemented
98#17988890C2211yescharacteristic, complemented
99#17988889C2211yescharacteristic, complemented
100#17988881C2211yescharacteristic, complemented
101#17988880C2211yescharacteristic, complemented
102#17988878C2211yescharacteristic, complemented
103#17988877C2211yescharacteristic, complemented
104#17988870C2211yescharacteristic, complemented
105#17988870C2211yescharacteristic, complemented
106#17988845C2211yescharacteristic, complemented
107#17988843C2211yescharacteristic, complemented
108#17988835C2211yescharacteristic
109#17988826C2211yescharacteristic, complemented
110#17988819C2211yescharacteristic, complemented
111#17988819C2211yescharacteristic, complemented
112#17988816C2211yescharacteristic
113#17988814C2211yescharacteristic
114#17988813C2211yescharacteristic, complemented
115#17988813C2211yescharacteristic, complemented
116#17988812C2211yescharacteristic, complemented
117#17988811C2211yescharacteristic, complemented
118#17988811C2211yescharacteristic, complemented
119#17988811C2211yescharacteristic, complemented
120#17988811C2211yescharacteristic, complemented
121#17988811C2211yescharacteristic, complemented
122#17988810C2211yescharacteristic, complemented
123#17988809C2211yescharacteristic, complemented
124#17988808C2211yescharacteristic, complemented
125#17988807C2211yescharacteristic, complemented
126#17988807C2211yescharacteristic, complemented
127#17988807C2211yescharacteristic, complemented
128#17988807C2211yescharacteristic, complemented
129#17988807C2211yescharacteristic, complemented
130#17988806C2211yescharacteristic, complemented
131#17988796C2211yescharacteristic, complemented
132#17988795C2211yescharacteristic, complemented
133#17988791C2211yescharacteristic, complemented
134#17988790C2211yescharacteristic, complemented
135#17988789C2211yescharacteristic, complemented
136#17988786C2211yescharacteristic, complemented
137#17988785C2211yescharacteristic
138#17988785C2211yescharacteristic
139#17988785C2211yescharacteristic
140#17988785C2211yescharacteristic
141#17988785C2211yescharacteristic, complemented
142#17988785C2211yescharacteristic, complemented
143#17988785C2211yescharacteristic, complemented
144#17988751C2211yescharacteristic, complemented
145#17988749C2211yescharacteristic, complemented
146#17988747C2211yescharacteristic, complemented
147#17988743C2211yescharacteristic, complemented
148#17988741C2211yescharacteristic, complemented
149#17988741C2211yescharacteristic, complemented
150#17988740C2211yescharacteristic, complemented
151#17988738C2211yescharacteristic, complemented
152#17988737C2211yescharacteristic, complemented
153#17988736C2211yescharacteristic
154#17988736C2211yescharacteristic
155#17988727C2211yescharacteristic, complemented
156#17988726C2211yescharacteristic
157#17988724C2211yescharacteristic, complemented
158#17988716C2211yescharacteristic, complemented
159#17988715C2211yescharacteristic, complemented
160#17988694C2211yescharacteristic, complemented
161#17988691C2211yescharacteristic, complemented
162#17988690C2211yescharacteristic, complemented
163#17988689C2211yescharacteristic, complemented
164#17988688C2211yescharacteristic, complemented
165#17988687C2211yescharacteristic, complemented
166#17988685C2211yescharacteristic, complemented
167Q16×Dic73C2211yescharacteristic, complemented
168#17988679C2211yescharacteristic, complemented
169SD16×Dic73C2211yescharacteristic, complemented
170#17988672C2211yescharacteristic, complemented
171#17988661C2211yescharacteristic, complemented
172#17988659C2211yescharacteristic, complemented
173#17988656C2211yescharacteristic, complemented
174C8×C22⋊D73C2211yescharacteristic, complemented
175#17988650C2211yescharacteristic, complemented
176#17988645C2211yescharacteristic, complemented
177#17988645C2211yescharacteristic, complemented
178#17988642C2211yescharacteristic, complemented
179#17988615C2211yescharacteristic, complemented
180#17988613C2211yescharacteristic, complemented
181C4⋊C8×D73C2211yescharacteristic, complemented
182#17988593C2211yescharacteristic, complemented
183#17988592C2211yescharacteristic, complemented
184#17988584C2211yescharacteristic, complemented
185#17988583C2211yescharacteristic, complemented
186#103×D73C2211yescharacteristic, complemented
187#102×D73C2211yescharacteristic
188C2×#137×C73C2211yescharacteristic, complemented
189C22×SD16×C73C2211yescharacteristic, complemented
190D4×Q8×C73C2211yescharacteristic, complemented
191#546×C73C2211yescharacteristic
192#497×C73C2211yescharacteristic, complemented
193#468×C73C2211yescharacteristic
194#467×C73C2211yescharacteristic, complemented
195#464×C73C2211yescharacteristic, complemented
196#461×C73C2211yescharacteristic, complemented
197#452×C73C2211yescharacteristic, complemented
198#451×C73C2211yescharacteristic, complemented
199#450×C73C2211yescharacteristic, complemented
200#448×C73C2211yescharacteristic
201#440×C73C2211yescharacteristic, complemented
202#435×C73C2211yescharacteristic, complemented
203C2×#11924028—21no—
204C2×#11924028C2311yescharacteristic
205C2×Q8×D73C2311yescharacteristic
206C2×Q8×D73C2311yescharacteristic
207C22×D292C2311yescharacteristic
208C22×C22⋊D73—21no—
209C2×D4×D73—21no—
210C2×D4×D73C2311yescharacteristic
211#14556622—42no—
212C2×Dic292C2311yescharacteristic
213C2×#11924018C2311yescharacteristic
214C2×#11924018C2311yescharacteristic
215C2×#11924018C2311yescharacteristic
216C2×#11924018C2311yescharacteristic
217Q16×D73—42no—
218C2×#11924017C2311yescharacteristic
219C2×#11924017C2311yescharacteristic
220C2×#11924016C2311yescharacteristic
221C2×#11924016C2311yescharacteristic
222C2×#11924015—42no—
223C2×#11924015C2311yescharacteristic
224C2×#11924015C2311yescharacteristic
225C2×#11924015C2311yescharacteristic
226C2×#11924015C2311yescharacteristic
227C2×#11924015C2311yescharacteristic
228C2×#11924015C2311yescharacteristic
229SD16×D73—42no—
230C2×#11924012C2311yescharacteristic
231C22×#10596831C2311yescharacteristic
232C2×C8×D73C2311yescharacteristic
233C2×C8×D73C2311yescharacteristic
234#14556591—21no—
235#14556591C2311yescharacteristic
236#14556590C2311yescharacteristic
237#14556589—21no—
238#14556589—21no—
239#14556589C2311yescharacteristic
240#14556589C2311yescharacteristic
241#14556587C2311yescharacteristic
242#14556587C2311yescharacteristic
243#14556587C2311yescharacteristic
244#14556586—21no—
245#14556584—21no—
246#14556584—21no—
247#14556584—21no—
248#14556584—21no—
249#14556584—21no—
250#14556584—21no—
251#14556584—21no—
252#14556584—21no—
253#14556584—21no—
254#14556584D411yescharacteristic
255#14556584D411yescharacteristic
256#14556582—21no—
257#14556582—21no—
258#14556582—21no—
259#14556582—21no—
260#14556582—21no—
261#14556582—21no—
262#14556582D411yescharacteristic
263#14556582C2311yescharacteristic
264#14556582C2311yescharacteristic
265#14556581—21no—
266#14556581—21no—
267#14556581—21no—
268#14556581—21no—
269#14556581—21no—
270#14556581—21no—
271#14556580C2311yescharacteristic
272#14556580C2311yescharacteristic
273#14556579C2311yescharacteristic
274#14556578—21no—
275#14556578—21no—
276#14556578—21no—
277#14556578D411yescharacteristic
278#14556578C2311yescharacteristic
279#14556578C2311yescharacteristic
280#14556577—21no—
281#14556577—21no—
282#14556577—21no—
283#14556577—21no—
284#14556577—21no—
285#14556577—21no—
286#14556577—21no—
287#14556576—21no—
288#14556575—21no—
289#14556574—21no—
290#14556573—21no—
291#14556573—21no—
292#14556573—21no—
293#14556573—21no—
294#14556573—21no—
295#14556573D411yescharacteristic
296#14556573D411yescharacteristic
297#14556572—21no—
298#14556571—21no—
299#14556571—21no—
300#14556571D411yescharacteristic
301#14556570—21no—
302#14556570—21no—
303#14556570—21no—
304#14556570C2311yescharacteristic
305#14556570C2311yescharacteristic
306#14556570C2311yescharacteristic
307#14556569—21no—
308#14556568—21no—
309#14556567—21no—
310#14556567—21no—
311#14556567C2311yescharacteristic
312#14556567C2311yescharacteristic
313#14556566C2311yescharacteristic
314#14556565—21no—
315#14556565—21no—
316#14556565C2311yescharacteristic
317#14556564—21no—
318#14556564—21no—
319#14556564—21no—
320#14556564—21no—
321#14556563—21no—
322#14556562—21no—
323#14556562—21no—
324#14556562—21no—
325#14556562D411yescharacteristic
326#14556562C2311yescharacteristic
327#14556561—21no—
328#14556560—21no—
329#14556560—21no—
330#14556560—21no—
331#14556559—21no—
332#14556559—21no—
333#14556559—21no—
334#14556559—21no—
335#14556559—21no—
336Q8×Dic73—21no—
337Q8×Dic73—21no—
338Q8×Dic73—21no—
339Q8×Dic73—21no—
340Q8×Dic73C2311yescharacteristic
341Q8×Dic73C2311yescharacteristic
342Q8×Dic73C2311yescharacteristic
343Q8×Dic73C2311yescharacteristic
344Q8×Dic73C2311yescharacteristic
345Q8×Dic73C2311yescharacteristic
346Q8×Dic73C2311yescharacteristic
347Q8×Dic73C2311yescharacteristic
348C4×Dic146—21no—
349C4×Dic146—21no—
350C4×Dic146C2311yescharacteristic
351C4×Dic146C2311yescharacteristic
352#14556556—21no—
353#14556556—21no—
354#14556556—21no—
355#14556556—21no—
356#14556556C2311yescharacteristic
357#14556556C2311yescharacteristic
358C4×D292C2311yescharacteristic
359D4×Dic73C2311yescharacteristic
360#14556553—21no—
361#14556553C2311yescharacteristic
362C4×C22⋊D73—21no—
363C4×C22⋊D73—21no—
364C4×C22⋊D73—21no—
365C4×C22⋊D73—21no—
366C4×C22⋊D73—21no—
367C4×C22⋊D73C2311yescharacteristic
368C4×C22⋊D73C2311yescharacteristic
369#14556551—21no—
370#14556550—21no—
371#14556550—21no—
372#14556550—21no—
373#14556550—21no—
374#14556550C2311yescharacteristic
375#14556550C2311yescharacteristic
376#14556550C2311yescharacteristic
377#14556550C2311yescharacteristic
378#14556549—21no—
379#14556549—21no—
380#14556549—21no—
381C4⋊C4×D73—21no—
382C4⋊C4×D73C2311yescharacteristic
383C22⋊C4×D73—21no—
384C22⋊C4×D73—21no—
385C22⋊C4×D73—21no—
386C42×D73—21no—
387C42×D73C2311yescharacteristic
388#14556525C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556523C2311yescharacteristic
392#14556523C2311yescharacteristic
393#14556522C2311yescharacteristic
394#14556522C2311yescharacteristic
395C4⋊#10596831C2311yescharacteristic
396#14556520C2311yescharacteristic
397#14556520C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556516C2311yescharacteristic
408#14556515C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556515C2311yescharacteristic
411#14556515C2311yescharacteristic
412#14556515C2311yescharacteristic
413#14556515C2311yescharacteristic
414#14556514C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556513C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556512C2311yescharacteristic
427#14556512C2311yescharacteristic
428#14556511C2311yescharacteristic
429#14556511C2311yescharacteristic
430C22⋊#10596831C2311yescharacteristic
431C22⋊#10596831C2311yescharacteristic
432#14556503C2311yescharacteristic
433#14556503C2311yescharacteristic
434#14556502C2311yescharacteristic
435#14556501C2311yescharacteristic
436#14556501C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C8×Dic73C2311yescharacteristic
439C2×#41×C73C2311yescharacteristic
440C22×Q8×C73C2311yescharacteristic
441C22×Q8×C73C2311yescharacteristic
442C22×D4×C73C2311yescharacteristic
443#137×C73—42no—
444C2×Q16×C73C2311yescharacteristic
445C2×Q16×C73C2311yescharacteristic
446C2×Q16×C73C2311yescharacteristic
447C2×SD16×C73—42no—
448C2×SD16×C73C2311yescharacteristic
449C2×SD16×C73C2311yescharacteristic
450C2×SD16×C73C2311yescharacteristic
451C2×SD16×C73C2311yescharacteristic
452C2×SD16×C73C2311yescharacteristic
453C2×SD16×C73C2311yescharacteristic
454C2×M16×C73C2311yescharacteristic
455C22×C8×C73C2311yescharacteristic
456C4⋊Q8×C73—21no—
457C4⋊Q8×C73C2311yescharacteristic
458#124×C73C2311yescharacteristic
459#123×C73—21no—
460C22⋊Q8×C73—21no—
461C22⋊Q8×C73—21no—
462C22⋊Q8×C73C2311yescharacteristic
463C22⋊Q8×C73C2311yescharacteristic
464C22⋊Q8×C73C2311yescharacteristic
465#121×C73—21no—
466#121×C73C2311yescharacteristic
467#120×C73—21no—
468C4×Q8×C73C2311yescharacteristic
469C4×D4×C73—21no—
470C4×D4×C73C2311yescharacteristic
471C4×D4×C73C2311yescharacteristic
472C2×C22⋊C4×C73—21no—
473#107×C73C2311yescharacteristic
474C4⋊C8×C73C2311yescharacteristic
475#103×C73C2311yescharacteristic
476#103×C73C2311yescharacteristic
477#103×C73C2311yescharacteristic
478#103×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481C22⋊C8×C73C2311yescharacteristic
482C22⋊C8×C73C2311yescharacteristic
483#97×C73C2311yescharacteristic
484C23×D73—21no—
485C23×D73—21no—
486#11924028—41no—
487#11924028—41no—
488#11924028—82no—
489C2×Dic146—21no—
490C2×Dic146—21no—
491C2×Dic146—21no—
492C2×Dic146—21no—
493C2×Dic146C2×D411yescharacteristic
494C2×Dic146C2411yescharacteristic
495C2×Dic146C2411yescharacteristic
496Q8×D73—22no—
497Q8×D73—41no—
498Q8×D73—41no—
499Q8×D73—41no—
500C2×D292—21no—
501C2×D292—21no—
502C2×D292—41no—
503C2×D292—41no—
504C2×D292C2411yescharacteristic
505C2×D292C2411yescharacteristic
506C2×C22⋊D73—21no—
507C2×C22⋊D73—21no—
508C2×C22⋊D73—21no—
509C2×C22⋊D73—21no—
510C2×C22⋊D73—21no—
511C2×C22⋊D73—21no—
512C2×C22⋊D73—21no—
513C2×C22⋊D73—21no—
514C2×C22⋊D73—21no—
515C2×C22⋊D73—21no—
516C2×C22⋊D73—82no—
517C2×C22⋊D73C2×D411yescharacteristic
518C2×C22⋊D73C2×D411yescharacteristic
519D4×D73—41no—
520D4×D73—41no—
521D4×D73—82no—
522C22×Dic73—21no—
523C2×C4×D73—21no—
524C2×C4×D73—21no—
525C2×C4×D73—21no—
526C2×C4×D73—21no—
527C2×C4×D73—21no—
528C2×C4×D73—21no—
529C2×C4×D73C2×D411yescharacteristic
530C2×C4×D73C2×D411yescharacteristic
531C2×C4×D73C2411yescharacteristic
532Dic292—41no—
533#11924018—22no—
534#11924018—41no—
535#11924018—41no—
536#11924018—41no—
537#11924017—41no—
538#11924017—41no—
539#11924016—41no—
540#11924016—41no—
541#11924015—22no—
542#11924015—22no—
543#11924015—41no—
544#11924015—41no—
545#11924015—41no—
546#11924015—41no—
547#11924012—41no—
548C2×#10596831—41no—
549C2×#10596831C2411yescharacteristic
550C2×#10596831C2411yescharacteristic
551C2×#10596831C2411yescharacteristic
552C2×#10596831C2411yescharacteristic
553C8×D73—41no—
554C8×D73—41no—
555C4⋊Dic73—21no—
556C4⋊Dic73—21no—
557C4⋊Dic73—21no—
558C4⋊Dic73—21no—
559C4⋊Dic73—21no—
560C4⋊Dic73—21no—
561C4⋊Dic73—21no—
562C4⋊Dic73—21no—
563C4⋊Dic73—21no—
564C4⋊Dic73—21no—
565C4⋊Dic73—21no—
566C4⋊Dic73C2×D411yescharacteristic
567C4⋊Dic73C2×D411yescharacteristic
568C4⋊Dic73C2×D411yescharacteristic
569C4⋊Dic73C2×D411yescharacteristic
570C4⋊Dic73C2×D411yescharacteristic
571C4⋊Dic73C2411yescharacteristic
572C4⋊Dic73C2411yescharacteristic
573C4⋊Dic73C2411yescharacteristic
574C4⋊Dic73C2411yescharacteristic
575#11924007—21no—
576#11924007—21no—
577#11924007—21no—
578#11924007—21no—
579#11924007—21no—
580#11924007—21no—
581#11924007—21no—
582#11924007—21no—
583#11924007—21no—
584#11924007—21no—
585#11924007—21no—
586#11924007—21no—
587#11924007—21no—
588#11924007—21no—
589#11924007—21no—
590#11924007—21no—
591#11924007C2×D411yescharacteristic
592#11924007C2×D411yescharacteristic
593#11924007C2×D411yescharacteristic
594#11924007C2×D411yescharacteristic
595C22⋊Dic73—21no—
596C22⋊Dic73—21no—
597C22⋊Dic73—21no—
598C22⋊Dic73—21no—
599C22⋊Dic73—21no—
600C22⋊Dic73—21no—
601C22⋊Dic73—21no—
602C22⋊Dic73—21no—
603C22⋊Dic73—21no—
604C22⋊Dic73—21no—
605C22⋊Dic73—21no—
606C22⋊Dic73C2×D411yescharacteristic
607C22⋊Dic73C2×D411yescharacteristic
608C22⋊Dic73C2×D411yescharacteristic
609C22⋊Dic73C2×D411yescharacteristic
610C22⋊Dic73C2×D411yescharacteristic
611C22⋊Dic73C2×D411yescharacteristic
612#11924005—21no—
613#11924005—21no—
614#11924005—21no—
615#11924005—21no—
616#11924005—21no—
617#11924005—21no—
618#11924005—21no—
619#11924005—21no—
620#11924005—21no—
621#11924005—21no—
622#11924005—21no—
623#11924005—21no—
624#11924005C2×D411yescharacteristic
625#11924005C2×D411yescharacteristic
626C4×Dic73—21no—
627C4×Dic73—21no—
628C4×Dic73—21no—
629C4×Dic73—21no—
630C4×Dic73—21no—
631C4×Dic73—21no—
632C4×Dic73—21no—
633C4×Dic73—21no—
634C4×Dic73—21no—
635C4×Dic73—21no—
636C4×Dic73—21no—
637C4×Dic73—21no—
638C4×Dic73—21no—
639C4×Dic73C2×D411yescharacteristic
640C4×Dic73C2×D411yescharacteristic
641C4×Dic73C2411yescharacteristic
642C4×Dic73C2411yescharacteristic
643C4×Dic73C2411yescharacteristic
644C24×C73—21no—
645#41×C73—41no—
646#41×C73—41no—
647C2×Q8×C73—21no—
648C2×Q8×C73—21no—
649C2×Q8×C73—22no—
650C2×Q8×C73—22no—
651C2×Q8×C73—41no—
652C2×Q8×C73—41no—
653C2×Q8×C73C2411yescharacteristic
654C2×Q8×C73C2411yescharacteristic
655C2×Q8×C73C2411yescharacteristic
656C2×Q8×C73C2411yescharacteristic
657C2×D4×C73—21no—
658C2×D4×C73—21no—
659C2×D4×C73—21no—
660C2×D4×C73—41no—
661C2×D4×C73—41no—
662C2×D4×C73C2×D411yescharacteristic
663C2×D4×C73C2411yescharacteristic
664C2×D4×C73C2411yescharacteristic
665C22×C4×C73—21no—
666C22×C4×C73—21no—
667C22×C4×C73—21no—
668C22×C4×C73—21no—
669C22×C4×C73C2411yescharacteristic
670C22×C4×C73C2411yescharacteristic
671Q16×C73—22no—
672Q16×C73—41no—
673Q16×C73—41no—
674SD16×C73—22no—
675SD16×C73—22no—
676SD16×C73—41no—
677SD16×C73—41no—
678SD16×C73—41no—
679SD16×C73—41no—
680M16×C73—41no—
681C2×C8×C73—41no—
682C2×C8×C73C2411yescharacteristic
683C2×C8×C73C2411yescharacteristic
684C2×C8×C73C2411yescharacteristic
685C2×C8×C73C2411yescharacteristic
686C4⋊C4×C73—21no—
687C4⋊C4×C73—21no—
688C4⋊C4×C73—21no—
689C4⋊C4×C73—21no—
690C4⋊C4×C73—21no—
691C4⋊C4×C73—21no—
692C4⋊C4×C73C2×D411yescharacteristic
693C4⋊C4×C73C2411yescharacteristic
694C4⋊C4×C73C2411yescharacteristic
695C22⋊C4×C73—21no—
696C22⋊C4×C73—21no—
697C22⋊C4×C73—21no—
698C22⋊C4×C73—21no—
699C22⋊C4×C73—21no—
700C22⋊C4×C73—21no—
701C22⋊C4×C73—21no—
702C22⋊C4×C73C2×D411yescharacteristic
703C22⋊C4×C73C2×D411yescharacteristic
704C42×C73—21no—
705C42×C73C2411yescharacteristic
706C23×C73—21no—
707C23×C73—21no—
708C23×C73—81no—
709C23×C73—81no—
710C23×C73—81no—
711C23×C73C22×D411yescharacteristic
712C23×C73C22×D411yescharacteristic
713C22×D73—21no—
714C22×D73—21no—
715C22×D73—42no—
716C22×D73—81no—
717C22×D73—81no—
718C22×D73—81no—
719C22×D73—81no—
720C22×D73—81no—
721C22×D73C22×D411yescharacteristic
722Q8×C73—21no—
723Q8×C73—21no—
724Q8×C73—21no—
725Q8×C73—21no—
726Q8×C73—21no—
727Q8×C73—21no—
728Q8×C73—21no—
729Q8×C73—42no—
730Q8×C73—42no—
731Q8×C73H(5,𝔽2)12yes—
732D4×C73—21no—
733D4×C73—21no—
734D4×C73—21no—
735D4×C73—21no—
736D4×C73—41no—
737D4×C73—81no—
738D4×C73—81no—
739D4×C73—81no—
740C2×C4×C73—21no—
741C2×C4×C73—21no—
742C2×C4×C73—21no—
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—42no—
751C2×C4×C73—42no—
752C2×C4×C73—81no—
753C2×C4×C73—81no—
754C2×C4×C73C22×D411yescharacteristic
755C2×C4×C73C22×D411yescharacteristic
756C2×C4×C73C22×D411yescharacteristic
757C2×C4×C73C22×D411yescharacteristic
758C2×C4×C73C2511yescharacteristic
759C22⋊D73—22no—
760C22⋊D73—22no—
761C22⋊D73—42no—
762C22⋊D73—81no—
763C22⋊D73—81no—
764C22⋊D73—81no—
765C22⋊D73—81no—
766C22⋊D73—81no—
767C22⋊D73—81no—
768C22⋊D73—81no—
769C22⋊D73—81no—
770C22⋊D73—81no—
771C2×Dic73—21no—
772C2×Dic73—21no—
773C2×Dic73—21no—
774C2×Dic73—21no—
775C2×Dic73—21no—
776C2×Dic73—21no—
777C2×Dic73—81no—
778C2×Dic73C22×D411yescharacteristic
779C2×Dic73C22×D411yescharacteristic
780C2×Dic73C22×D411yescharacteristic
781C2×Dic73C22×D411yescharacteristic
782C2×Dic73C22×D411yescharacteristic
783C2×Dic73C22×D411yescharacteristic
784C2×Dic73C22×D411yescharacteristic
785D292—21no—
786D292—21no—
787D292—21no—
788D292—21no—
789D292—42no—
790D292—81no—
791C4×D73—22no—
792C4×D73—21no—
793C4×D73—21no—
794C4×D73—41no—
795C4×D73—42no—
796C4×D73—42no—
797C4×D73—81no—
798C4×D73—81no—
799C4×D73—81no—
800C4×D73—81no—
801Dic146—21no—
802Dic146—21no—
803Dic146—21no—
804Dic146—21no—
805Dic146—41no—
806Dic146—42no—
807Dic146—42no—
808Dic146—81no—
809Dic146—81no—
810C8×C73—21no—
811C8×C73—21no—
812C8×C73—21no—
813C8×C73—21no—
814#10596831—21no—
815#10596831—21no—
816#10596831—21no—
817#10596831—21no—
818C22×C73—21no—
819C22×C73—21no—
820C22×C73—21no—
821C22×C73—21no—
822C22×C73—21no—
823C22×C73—21no—
824C22×C73—41no—
825C22×C73—41no—
826C22×C73—41no—
827C22×C73—41no—
828C22×C73—41no—
829C22×C73—41no—
830C22×C73—162no—
831C22×C73C23×D411yescharacteristic
832C2×D73—21no—
833C2×D73—21no—
834C2×D73—41no—
835C2×D73—41no—
836C2×D73—41no—
837C2×D73—41no—
838C2×D73—41no—
839C2×D73—41no—
840C2×D73—162no—
841C2×D73—162no—
842C2×D73#57712yes—
843C4×C73—21no—
844C4×C73—22no—
845C4×C73—21no—
846C4×C73—21no—
847C4×C73—21no—
848C4×C73—41no—
849C4×C73—41no—
850C4×C73—41no—
851C4×C73—41no—
852C4×C73—41no—
853C4×C73C2×H(5,𝔽2)11yescharacteristic
854C4×C73#58511yescharacteristic
855Dic73—21no—
856Dic73—21no—
857Dic73—21no—
858Dic73—21no—
859Dic73—21no—
860Dic73—21no—
861Dic73—21no—
862Dic73—41no—
863Dic73—41no—
864Dic73—41no—
865Dic73—41no—
866Dic73—41no—
867Dic73—41no—
868#62019—731nomaximal, Sylow
869C2×C73—41no—
870C2×C73—41no—
871C2×C73—81no—
872C2×C73—81no—
873C2×C73#348811yescharacteristic
874C2×C73C2×#57711yescharacteristic
875C2×C73#358611yescharacteristic
876D73—22no—
877D73—81no—
878D73—81no—
879#3558—731no—
880#3523—731no—
881#3400—731no—
882#3400—731no—
883#3371—731no—
884#3371—731no—
885#3311—731no—
886#3311—731no—
887#3310—731no—
888#3310—731no—
889#3300—731no—
890#3300—731no—
891D4×SD16—731no—
892D4×SD16—731no—
893#3270—731no—
894#3270—731no—
895#3266—731no—
896#3266D7311yescharacteristic, complemented
897#3258—731no—
898#3258—731no—
899#3246—731no—
900#3222—731no—
901#3222—731no—
902#3215—731no—
903#3121—731no—
904#3121—731no—
905#3112—731no—
906#3043—731no—
907#3043—731no—
908C2×#464—731no—
909#2992—731no—
910C73#6201911yescharacteristic, complemented, Sylow
911C2×#137—731no—
912C2×#137C2×D7311yescharacteristic, complemented
913C22×Q16—731no—
914C22×SD16—731no—
915C22×SD16—731no—
916C22×SD16C2×D7311yescharacteristic, complemented
917#562—1461no—
918H(3,𝔽4)—1461no—
919#559—731no—
920#559—731no—
921#557—731no—
922#557—731no—
923#557—1461no—
924#556—731no—
925#556—1461no—
926#552—731no—
927#552—731no—
928#552—1461no—
929#552—1461no—
930D4×Q8—731no—
931D4×Q8—731no—
932D4×Q8C2×D7311yescharacteristic, complemented
933#548—731no—
934#548—731no—
935#546—731no—
936#546—1461no—
937#546—1461no—
938#546C2×D7311yescharacteristic
939D42—731no—
940D42—731no—
941#542—731no—
942#542—731no—
943#541—731no—
944#541—731no—
945#541—1461no—
946#541—1461no—
947#538—1461no—
948#538—1461no—
949#538—1461no—
950#535—731no—
951#535—731no—
952#534—1461no—
953#533—731no—
954#533—1461no—
955#532—731no—
956#529—731no—
957#529—1461no—
958C2×#124—731no—
959#519—731no—
960#519—731no—
961C2×C4×Q8—731no—
962#497—731no—
963#497—731no—
964#497—731no—
965#497C2×D7311yescharacteristic, complemented
966#492—731no—
967#492—731no—
968#490—731no—
969#490—731no—
970#489—731no—
971#489—731no—
972#488—731no—
973#488—731no—
974#485—731no—
975#485—731no—
976#482—731no—
977#482—731no—
978#480—731no—
979#480—731no—
980#479—731no—
981#479—731no—
982#478—731no—
983#478—731no—
984#477—731no—
985#477—731no—
986#476—731no—
987#476—731no—
988#475—731no—
989#475—731no—
990#470—731no—
991#470—731no—
992#468—731no—
993#468C2×D7311yescharacteristic
994#467—731no—
995#467C2×D7311yescharacteristic, complemented
996#465—731no—
997#465—731no—
998#465—731no—
999#465—731no—
1000#465—731no—
1001#465—731no—
1002#464—731no—
1003#464—731no—
1004#464—731no—
1005#464—731no—
1006#464—731no—
1007#464—731no—
1008#464—731no—
1009#464—731no—
1010#464—731no—
1011#464—731no—
1012#464—731no—
1013#464—731no—
1014#464—731no—
1015#464—731no—
1016#464—731no—
1017#464C2×D7311yescharacteristic, complemented
1018#462—731no—
1019#462—731no—
1020#461—731no—
1021#461—731no—
1022#461—731no—
1023#461C2×D7311yescharacteristic, complemented
1024#460—731no—
1025#460—731no—
1026#460—731no—
1027#460—731no—
1028#460—731no—
1029#460—731no—
1030#460—731no—
1031#460—731no—
1032#452—731no—
1033#452—731no—
1034#452—731no—
1035#452C2×D7311yescharacteristic, complemented
1036#451—731no—
1037#451—731no—
1038#451—731no—
1039#451C2×D7311yescharacteristic, complemented
1040#450—731no—
1041#450—731no—
1042#450—731no—
1043#450—731no—
1044#450—731no—
1045#450C2×D7311yescharacteristic, complemented
1046#448—731no—
1047#448—731no—
1048#448—731no—
1049#448C2×D7311yescharacteristic
1050#446—731no—
1051#446—731no—
1052#441—731no—
1053#441—731no—
1054#440—731no—
1055#440—731no—
1056#440—731no—
1057#440—731no—
1058#440—731no—
1059#440C2×D7311yescharacteristic, complemented
1060C4×Q16—731no—
1061C4×Q16—731no—
1062C4×SD16—731no—
1063C4×SD16—731no—
1064#435—731no—
1065#435—731no—
1066#435—731no—
1067#435C2×D7311yescharacteristic, complemented
1068C8×D4—731no—
1069C8×D4—731no—
1070#433—731no—
1071#433—731no—
1072#432—731no—
1073#424—731no—
1074#424—731no—
1075C2×C4⋊C8—731no—
1076#418—731no—
1077#418—731no—
1078#416—731no—
1079#416—731no—
1080C2×#103—731no—
1081C2×#102—731no—
1082C2×#41—731no—
1083C2×#41—1461no—
1084C2×#41C22×D7311yescharacteristic
1085C22×Q8—731no—
1086C22×Q8—731no—
1087C22×Q8C22×D7311yescharacteristic
1088C22×Q8C22×D7311yescharacteristic
1089C22×D4—731no—
1090C22×D4—731no—
1091C22×D4—1461no—
1092C22×D4—1461no—
1093C22×D4C22×D7311yescharacteristic
1094#137—42no—
1095#137—2922no—
1096C2×Q16—2922no—
1097C2×Q16—731no—
1098C2×Q16—731no—
1099C2×Q16—731no—
1100C2×Q16—731no—
1101C2×Q16—731no—
1102C2×Q16C22×D7311yescharacteristic
1103C2×Q16C22×D7311yescharacteristic
1104C2×Q16C22×D7311yescharacteristic
1105C2×SD16—42no—
1106C2×SD16—2922no—
1107C2×SD16—2922no—
1108C2×SD16—731no—
1109C2×SD16—731no—
1110C2×SD16—731no—
1111C2×SD16—731no—
1112C2×SD16—731no—
1113C2×SD16—731no—
1114C2×SD16—731no—
1115C2×SD16—731no—
1116C2×SD16—731no—
1117C2×SD16—731no—
1118C2×SD16C22×D7311yescharacteristic
1119C2×SD16C22×D7311yescharacteristic
1120C2×SD16C22×D7311yescharacteristic
1121C2×SD16C22×D7311yescharacteristic
1122C2×SD16C22×D7311yescharacteristic
1123C2×SD16C22×D7311yescharacteristic
1124C2×M16—731no—
1125C2×M16C22×D7311yescharacteristic
1126C22×C8—731no—
1127C22×C8—731no—
1128C22×C8—731no—
1129C22×C8C22×D7311yescharacteristic
1130C4⋊Q8—21no—
1131C4⋊Q8—731no—
1132C4⋊Q8—731no—
1133C4⋊Q8—731no—
1134C4⋊Q8—731no—
1135C4⋊Q8—1461no—
1136C4⋊Q8—1461no—
1137C4⋊Q8—1461no—
1138C4⋊Q8C22×D7311yescharacteristic
1139#127—731no—
1140#127—731no—
1141#127—731no—
1142#126—731no—
1143#126—731no—
1144#126—1461no—
1145#126—1461no—
1146#126—1461no—
1147#126—1461no—
1148#126—1461no—
1149#126—1461no—
1150#126—1461no—
1151#126—1461no—
1152#126—1461no—
1153#126—1461no—
1154#125—731no—
1155#125—731no—
1156#125—731no—
1157#125—1461no—
1158#125—1461no—
1159#125—1461no—
1160#125—1461no—
1161#125—1461no—
1162#125—1461no—
1163#125—1461no—
1164#125—1461no—
1165#125—1461no—
1166#125—1461no—
1167#125—1461no—
1168#125—1461no—
1169#124—731no—
1170#124—731no—
1171#124—731no—
1172#124—731no—
1173#124—731no—
1174#124—731no—
1175#124—1461no—
1176#124—1461no—
1177#124—1461no—
1178#124—1461no—
1179#124—1461no—
1180#124—1461no—
1181#124—1461no—
1182#124—1461no—
1183#124—1461no—
1184#124—1461no—
1185#124C22×D7311yescharacteristic
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—
1198C22⋊Q8—21no—
1199C22⋊Q8—21no—
1200C22⋊Q8—731no—
1201C22⋊Q8—731no—
1202C22⋊Q8—731no—
1203C22⋊Q8—731no—
1204C22⋊Q8—731no—
1205C22⋊Q8—731no—
1206C22⋊Q8—1461no—
1207C22⋊Q8—1461no—
1208C22⋊Q8—1461no—
1209C22⋊Q8—1461no—
1210C22⋊Q8—1461no—
1211C22⋊Q8—1461no—
1212C22⋊Q8—1461no—
1213C22⋊Q8—1461no—
1214C22⋊Q8—1461no—
1215C22⋊Q8C22×D7311yescharacteristic
1216C22⋊Q8C22×D7311yescharacteristic
1217C22⋊Q8C22×D7311yescharacteristic
1218#121—21no—
1219#121—731no—
1220#121—731no—
1221#121—731no—
1222#121—731no—
1223#121—1461no—
1224#121—1461no—
1225#121—1461no—
1226#121—1461no—
1227#121—1461no—
1228#121—1461no—
1229#121—1461no—
1230#121—1461no—
1231#121—1461no—
1232#121—1461no—
1233#121C22×D7311yescharacteristic
1234#120—21no—
1235#120—1461no—
1236#120—1461no—
1237#120—1461no—
1238#120—1461no—
1239#120—1461no—
1240#120—1461no—
1241#120—1461no—
1242#120—1461no—
1243#120—1461no—
1244C4×Q8—731no—
1245C4×Q8—731no—
1246C4×Q8—731no—
1247C4×Q8—731no—
1248C4×Q8—731no—
1249C4×Q8—731no—
1250C4×Q8—731no—
1251C4×Q8—731no—
1252C4×Q8—731no—
1253C4×Q8—731no—
1254C4×Q8—731no—
1255C4×Q8—731no—
1256C4×Q8—1461no—
1257C4×Q8—1461no—
1258C4×Q8—1461no—
1259C4×Q8—1461no—
1260C4×Q8—1461no—
1261C4×Q8—1461no—
1262C4×Q8—1461no—
1263C4×Q8—1461no—
1264C4×Q8—1461no—
1265C4×Q8—1461no—
1266C4×Q8C22×D7311yescharacteristic
1267C4×D4—21no—
1268C4×D4—731no—
1269C4×D4—731no—
1270C4×D4—731no—
1271C4×D4—731no—
1272C4×D4—731no—
1273C4×D4—1461no—
1274C4×D4—1461no—
1275C4×D4—1461no—
1276C4×D4—1461no—
1277C4×D4—1461no—
1278C4×D4—1461no—
1279C4×D4—1461no—
1280C4×D4C22×D7311yescharacteristic
1281C4×D4C22×D7311yescharacteristic
1282#117—731no—
1283#117—731no—
1284#117—731no—
1285#117—731no—
1286#117—1461no—
1287#117—1461no—
1288#117—1461no—
1289#117—1461no—
1290#117—1461no—
1291#117—1461no—
1292#117—1461no—
1293C2×C4⋊C4—731no—
1294C2×C4⋊C4—1461no—
1295C2×C22⋊C4—21no—
1296C2×C22⋊C4—1461no—
1297C2×C22⋊C4—1461no—
1298C2×C22⋊C4—1461no—
1299C2×C42—731no—
1300C2×C42—1461no—
1301#107—731no—
1302#107—731no—
1303#107—731no—
1304#107C22×D7311yescharacteristic
1305#106—731no—
1306#106—731no—
1307#106—731no—
1308#106—731no—
1309C4⋊C8—731no—
1310C4⋊C8—731no—
1311C4⋊C8—731no—
1312C4⋊C8—731no—
1313C4⋊C8—731no—
1314C4⋊C8—731no—
1315C4⋊C8—731no—
1316C4⋊C8—731no—
1317C4⋊C8—731no—
1318C4⋊C8C22×D7311yescharacteristic
1319#103—731no—
1320#103—731no—
1321#103—731no—
1322#103—731no—
1323#103—731no—
1324#103—731no—
1325#103—731no—
1326#103—731no—
1327#103—731no—
1328#103—731no—
1329#103—731no—
1330#103—731no—
1331#103C22×D7311yescharacteristic
1332#103C22×D7311yescharacteristic
1333#103C22×D7311yescharacteristic
1334#103C22×D7311yescharacteristic
1335#102—731no—
1336#102—731no—
1337#102—731no—
1338#102—731no—
1339#102—731no—
1340#102—731no—
1341#102—731no—
1342#102—731no—
1343#102—731no—
1344#102—731no—
1345#102—731no—
1346#102—731no—
1347#102—731no—
1348#102—731no—
1349#102C22×D7311yescharacteristic
1350#102C22×D7311yescharacteristic
1351C22⋊C8—731no—
1352C22⋊C8—731no—
1353C22⋊C8—731no—
1354C22⋊C8—731no—
1355C22⋊C8C22×D7311yescharacteristic
1356C22⋊C8C22×D7311yescharacteristic
1357#97—731no—
1358#97—731no—
1359#97—731no—
1360#97C22×D7311yescharacteristic
1361C4×C8—731no—
1362C4×C8—731no—
1363C24—21no—
1364C24—1461no—
1365C24—1461no—
1366#41—41no—
1367#41—41no—
1368#41—2921no—
1369#41—2921no—
1370#41—5842no—
1371C2×Q8—21no—
1372C2×Q8—21no—
1373C2×Q8—22no—
1374C2×Q8—22no—
1375C2×Q8—41no—
1376C2×Q8—41no—
1377C2×Q8—2921no—
1378C2×Q8—2921no—
1379C2×Q8—2921no—
1380C2×Q8—731no—
1381C2×Q8—731no—
1382C2×Q8—731no—
1383C2×Q8—1461no—
1384C2×Q8—1461no—
1385C2×Q8—1461no—
1386C2×Q8—1462no—
1387C2×Q8—1461no—
1388C2×Q8C23×D7311yescharacteristic
1389C2×Q8C23×D7311yescharacteristic
1390C2×Q8C23×D7311yescharacteristic
1391C2×Q8C23×D7311yescharacteristic
1392C2×D4—21no—
1393C2×D4—21no—
1394C2×D4—21no—
1395C2×D4—41no—
1396C2×D4—41no—
1397C2×D4—2921no—
1398C2×D4—2921no—
1399C2×D4—2921no—
1400C2×D4—2921no—
1401C2×D4—5842no—
1402C2×D4—5842no—
1403C2×D4—731no—
1404C2×D4—731no—
1405C2×D4—731no—
1406C2×D4—731no—
1407C2×D4—1461no—
1408C2×D4—1461no—
1409C2×D4—1461no—
1410C2×D4—1461no—
1411C2×D4—1461no—
1412C2×D4—1461no—
1413C2×D4—1461no—
1414C2×D4—1461no—
1415C2×D4—1461no—
1416C2×D4—1461no—
1417C2×D4—1461no—
1418C2×D4—1461no—
1419C2×D4D4×D7311yescharacteristic
1420C2×D4C23×D7311yescharacteristic
1421C2×D4C23×D7311yescharacteristic
1422C22×C4—21no—
1423C22×C4—21no—
1424C22×C4—21no—
1425C22×C4—21no—
1426C22×C4—731no—
1427C22×C4—731no—
1428C22×C4—731no—
1429C22×C4—1461no—
1430C22×C4—1461no—
1431C22×C4—1461no—
1432C22×C4—1461no—
1433C22×C4—1461no—
1434C22×C4—1461no—
1435C22×C4—1461no—
1436C22×C4C23×D7311yescharacteristic
1437C22×C4C23×D7311yescharacteristic
1438Q16—22no—
1439Q16—41no—
1440Q16—41no—
1441Q16—2921no—
1442Q16—2921no—
1443Q16—2921no—
1444Q16—2921no—
1445Q16—1462no—
1446SD16—22no—
1447SD16—22no—
1448SD16—41no—
1449SD16—41no—
1450SD16—41no—
1451SD16—41no—
1452SD16—2921no—
1453SD16—2921no—
1454SD16—2921no—
1455SD16—2921no—
1456SD16—2921no—
1457SD16—2921no—
1458SD16—2921no—
1459SD16—2921no—
1460SD16—1462no—
1461SD16—1462no—
1462M16—41no—
1463M16—2921no—
1464C2×C8—41no—
1465C2×C8—2921no—
1466C2×C8—2921no—
1467C2×C8—2921no—
1468C2×C8—731no—
1469C2×C8—731no—
1470C2×C8—731no—
1471C2×C8—731no—
1472C2×C8C23×D7311yescharacteristic
1473C2×C8C23×D7311yescharacteristic
1474C2×C8C23×D7311yescharacteristic
1475C2×C8C23×D7311yescharacteristic
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
1480C4⋊C4—21no—
1481C4⋊C4—21no—
1482C4⋊C4—731no—
1483C4⋊C4—731no—
1484C4⋊C4—731no—
1485C4⋊C4—731no—
1486C4⋊C4—731no—
1487C4⋊C4—731no—
1488C4⋊C4—731no—
1489C4⋊C4—731no—
1490C4⋊C4—731no—
1491C4⋊C4—731no—
1492C4⋊C4—731no—
1493C4⋊C4—731no—
1494C4⋊C4—731no—
1495C4⋊C4—1461no—
1496C4⋊C4—1461no—
1497C4⋊C4—1461no—
1498C4⋊C4—1461no—
1499C4⋊C4—1461no—
1500C4⋊C4—1461no—
1501C4⋊C4—1461no—
1502C4⋊C4—1461no—
1503C4⋊C4—1461no—
1504C4⋊C4—1461no—
1505C4⋊C4—1461no—
1506C4⋊C4—1461no—
1507C4⋊C4—1461no—
1508C4⋊C4—1461no—
1509C4⋊C4—1461no—
1510C4⋊C4—1461no—
1511C4⋊C4—1461no—
1512C4⋊C4—1461no—
1513C4⋊C4—1461no—
1514C4⋊C4—1461no—
1515C4⋊C4—1461no—
1516C4⋊C4—1461no—
1517C4⋊C4—1461no—
1518C4⋊C4—1461no—
1519C4⋊C4—1461no—
1520C4⋊C4—1461no—
1521C4⋊C4—1461no—
1522C4⋊C4D4×D7311yescharacteristic
1523C4⋊C4C23×D7311yescharacteristic
1524C4⋊C4C23×D7311yescharacteristic
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—731no—
1533C22⋊C4—731no—
1534C22⋊C4—731no—
1535C22⋊C4—731no—
1536C22⋊C4—731no—
1537C22⋊C4—731no—
1538C22⋊C4—731no—
1539C22⋊C4—731no—
1540C22⋊C4—1461no—
1541C22⋊C4—1461no—
1542C22⋊C4—1461no—
1543C22⋊C4—1461no—
1544C22⋊C4—1461no—
1545C22⋊C4—1461no—
1546C22⋊C4—1461no—
1547C22⋊C4—1461no—
1548C22⋊C4—1461no—
1549C22⋊C4—1461no—
1550C22⋊C4—1461no—
1551C22⋊C4—1461no—
1552C22⋊C4—1461no—
1553C22⋊C4—1461no—
1554C22⋊C4—1461no—
1555C22⋊C4—1461no—
1556C22⋊C4—1461no—
1557C22⋊C4—1461no—
1558C22⋊C4—1461no—
1559C22⋊C4—1461no—
1560C22⋊C4—1461no—
1561C22⋊C4—1461no—
1562C22⋊C4—1461no—
1563C22⋊C4D4×D7311yescharacteristic
1564C22⋊C4D4×D7311yescharacteristic
1565C42—21no—
1566C42—731no—
1567C42—731no—
1568C42—731no—
1569C42—731no—
1570C42—731no—
1571C42—1461no—
1572C42—1461no—
1573C42—1461no—
1574C42—1461no—
1575C42—1461no—
1576C42—1461no—
1577C42—1461no—
1578C42—1461no—
1579C42—1461no—
1580C42—1461no—
1581C42—1461no—
1582C42—1461no—
1583C42—1461no—
1584C42C23×D7311yescharacteristic
1585C23—21no—
1586C23—21no—
1587C23—81no—
1588C23—81no—
1589C23—81no—
1590C23—2922no—
1591C23—5841no—
1592C23—5841no—
1593C23—5841no—
1594C23—5841no—
1595C23—5841no—
1596C23—731no—
1597C23—1461no—
1598C23—1461no—
1599C23C2×D4×D7311yescharacteristic
1600C23C2×D4×D7311yescharacteristic
1601Q8—21no—
1602Q8—21no—
1603Q8—21no—
1604Q8—21no—
1605Q8—21no—
1606Q8—21no—
1607Q8—21no—
1608Q8—42no—
1609Q8—42no—
1610Q8—2922no—
1611Q8—2922no—
1612Q8—2921no—
1613Q8—5841no—
1614Q8—5841no—
1615Q8—1461no—
1616Q8—1461no—
1617Q8—1461no—
1618Q8—1461no—
1619Q8#1455663612yes—
1620D4—21no—
1621D4—21no—
1622D4—21no—
1623D4—21no—
1624D4—41no—
1625D4—81no—
1626D4—81no—
1627D4—81no—
1628D4—2922no—
1629D4—2922no—
1630D4—5841no—
1631D4—5841no—
1632D4—5841no—
1633D4—5841no—
1634D4—5841no—
1635D4—5841no—
1636D4—5841no—
1637D4—5841no—
1638D4—5841no—
1639D4—5841no—
1640D4—1462no—
1641D4—1462no—
1642D4—1461no—
1643D4—1461no—
1644D4—1461no—
1645D4—1461no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—42no—
1657C2×C4—42no—
1658C2×C4—81no—
1659C2×C4—81no—
1660C2×C4—2922no—
1661C2×C4—2921no—
1662C2×C4—2922no—
1663C2×C4—5841no—
1664C2×C4—5841no—
1665C2×C4—5841no—
1666C2×C4—5841no—
1667C2×C4—5841no—
1668C2×C4—731no—
1669C2×C4—731no—
1670C2×C4—731no—
1671C2×C4—731no—
1672C2×C4—731no—
1673C2×C4—731no—
1674C2×C4—731no—
1675C2×C4—1462no—
1676C2×C4—1461no—
1677C2×C4—1461no—
1678C2×C4—1461no—
1679C2×C4—1461no—
1680C2×C4—1461no—
1681C2×C4—1461no—
1682C2×C4—1461no—
1683C2×C4—1461no—
1684C2×C4C2×D4×D7311yescharacteristic
1685C2×C4C2×D4×D7311yescharacteristic
1686C2×C4C2×D4×D7311yescharacteristic
1687C2×C4C2×D4×D7311yescharacteristic
1688C2×C4C24×D7311yescharacteristic
1689C8—21no—
1690C8—21no—
1691C8—21no—
1692C8—21no—
1693C8—1461no—
1694C8—1461no—
1695C8—1461no—
1696C8—1461no—
1697C22—21no—
1698C22—21no—
1699C22—21no—
1700C22—21no—
1701C22—21no—
1702C22—21no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—162no—
1710C22—2921no—
1711C22—2921no—
1712C22—2921no—
1713C22—2921no—
1714C22—2921no—
1715C22—2921no—
1716C22—732no—
1717C22—11682no—
1718C22—11682no—
1719C22—1461no—
1720C22—1461no—
1721C22C22×D4×D7311yescharacteristic
1722C4—21no—
1723C4—21no—
1724C4—22no—
1725C4—21no—
1726C4—21no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—2921no—
1733C4—2921no—
1734C4—2921no—
1735C4—2921no—
1736C4—2921no—
1737C4—2921no—
1738C4—1461no—
1739C4—1461no—
1740C4—1461no—
1741C4—1461no—
1742C4—1461no—
1743C4—1461no—
1744C4—1461no—
1745C4C2×#1455663611yescharacteristic
1746C4#1798942211yescharacteristic
1747C2—41no—
1748C2—41no—
1749C2—81no—
1750C2—81no—
1751C2—5841no—
1752C2—5841no—
1753C2—1462no—
1754C2#2262359111yescharacteristic
1755C2#577×D7311yescharacteristic
1756C2#2262471411yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3266C2
socleC22×C73C23×D4
prime radical#22624440C2
hypercenter#3266D73
hypocenterC73#62019
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3266

Complements

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

NH ≅ G/Ntype
2. #22624022C2semidirect
3. #22622981C2semidirect
4. #22622979C2semidirect
5. #22622704C2semidirect
6. #22622696C2semidirect
7. #22621969C2semidirect
8. #22621967C2semidirect
9. #22621947C2semidirect
10. #22621945C2semidirect
11. #22621813C2semidirect
12. #22621811C2semidirect
13. SD16×C22⋊D73C2semidirect
14. #22621620C2semidirect
15. #22621504C2semidirect
16. #22621495C2semidirect
17. #22621442C2semidirect
18. #22621360C2semidirect
19. #22621358C2semidirect
20. #22621244C2semidirect
21. #22621001C2semidirect
22. #22620999C2semidirect
23. #22620929C2semidirect
24. #22620161C2semidirect
25. #22620153C2semidirect
26. #22620051C2semidirect
27. #22619454C2semidirect
28. #22619449C2semidirect
29. #464×D73C2semidirect
30. #22619066C2semidirect
31. C73×#3266C2semidirect
32. C2×#14556622C22semidirect
33. C2×Q16×D73C22semidirect
34. C22×#11924015C22semidirect
40. #17989316C22semidirect
42. #17989312C22semidirect
44. #17989307C22semidirect
47. #17989271C22semidirect
48. #17989271C22semidirect
49. Q8×C22⋊D73C22semidirect
50. Q8×C22⋊D73C22semidirect
62. #17989197C22semidirect
63. #17989197C22semidirect
71. #17989142C22semidirect
76. #17989065C22semidirect
77. #17989065C22semidirect
78. C4×Q8×D73C22semidirect
79. #17988980C22semidirect
80. #17988979C22semidirect
81. #17988978C22semidirect
86. #17988947C22semidirect
87. #17988946C22semidirect
88. #17988943C22semidirect
89. #17988940C22semidirect
90. #17988929C22semidirect
91. #17988925C22semidirect
94. #17988902C22semidirect
95. #17988899C22semidirect
96. #17988893C22semidirect
97. #17988892C22semidirect
98. #17988890C22semidirect
99. #17988889C22semidirect
100. #17988881C22semidirect
101. #17988880C22semidirect
102. #17988878C22semidirect
103. #17988877C22semidirect
104. #17988870C22semidirect
105. #17988870C22semidirect
106. #17988845C22semidirect
107. #17988843C22semidirect
109. #17988826C22semidirect
110. #17988819C22semidirect
111. #17988819C22semidirect
114. #17988813C22semidirect
115. #17988813C22semidirect
116. #17988812C22semidirect
117. #17988811C22semidirect
118. #17988811C22semidirect
119. #17988811C22semidirect
120. #17988811C22semidirect
121. #17988811C22semidirect
122. #17988810C22semidirect
123. #17988809C22semidirect
124. #17988808C22semidirect
125. #17988807C22semidirect
126. #17988807C22semidirect
127. #17988807C22semidirect
128. #17988807C22semidirect
129. #17988807C22semidirect
130. #17988806C22semidirect
131. #17988796C22semidirect
132. #17988795C22semidirect
133. #17988791C22semidirect
134. #17988790C22semidirect
135. #17988789C22semidirect
136. #17988786C22semidirect
141. #17988785C22semidirect
142. #17988785C22semidirect
143. #17988785C22semidirect
144. #17988751C22semidirect
145. #17988749C22semidirect
146. #17988747C22semidirect
147. #17988743C22semidirect
148. #17988741C22semidirect
149. #17988741C22semidirect
150. #17988740C22semidirect
151. #17988738C22semidirect
152. #17988737C22semidirect
155. #17988727C22semidirect
157. #17988724C22semidirect
158. #17988716C22semidirect
159. #17988715C22semidirect
160. #17988694C22semidirect
161. #17988691C22semidirect
162. #17988690C22semidirect
163. #17988689C22semidirect
164. #17988688C22semidirect
165. #17988687C22semidirect
166. #17988685C22semidirect
167. Q16×Dic73C22semidirect
168. #17988679C22semidirect
169. SD16×Dic73C22semidirect
170. #17988672C22semidirect
171. #17988661C22semidirect
172. #17988659C22semidirect
173. #17988656C22semidirect
174. C8×C22⋊D73C22semidirect
175. #17988650C22semidirect
176. #17988645C22semidirect
177. #17988645C22semidirect
178. #17988642C22semidirect
179. #17988615C22semidirect
180. #17988613C22semidirect
181. C4⋊C8×D73C22semidirect
182. #17988593C22semidirect
183. #17988592C22semidirect
184. #17988584C22semidirect
185. #17988583C22semidirect
186. #103×D73C22semidirect
188. C2×#137×C73C22semidirect
189. C22×SD16×C73C22semidirect
190. D4×Q8×C73C22semidirect
192. #497×C73C22semidirect
194. #467×C73C22semidirect
195. #464×C73C22semidirect
196. #461×C73C22semidirect
197. #452×C73C22semidirect
198. #451×C73C22semidirect
199. #450×C73C22semidirect
201. #440×C73C22semidirect
202. #435×C73C22semidirect
896. #3266D73semidirect
910. C73#62019semidirect
912. C2×#137C2×D73semidirect
916. C22×SD16C2×D73semidirect
932. D4×Q8C2×D73semidirect
965. #497C2×D73semidirect
995. #467C2×D73semidirect
1017. #464C2×D73semidirect
1023. #461C2×D73semidirect
1035. #452C2×D73semidirect
1039. #451C2×D73semidirect
1045. #450C2×D73semidirect
1059. #440C2×D73semidirect
1067. #435C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226244402
#226240222
#226229812
#226229792
#226227042
#226226962
#226219692
#226219672
#226219472
#226219452
#226218132
#226218112
SD16×C22⋊D732
#226216202
#226215042
#226214952
#226214422
#226213602
#226213582
#226212442
#226210012
#226209992
#226209292
#226201612
#226201532
#226200512
#226194542
#226194492
#464×D732
#226190662
C73×#32662
#6201973