Finite Group Databasebeta

← #33971549

Subgroups — #33971549

Order 18688.

2226 conjugacy classes of subgroups.

The subgroup lattice has 1942 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624229C211yesmaximal, characteristic, complemented
2#22623559C211yesmaximal, characteristic, complemented
3#22622155C211yesmaximal, characteristic, complemented
4#22622152C211yesmaximal, characteristic, complemented
5#22622072C211yesmaximal, characteristic, complemented
6#22622016C211yesmaximal, characteristic, complemented
7#22621973C211yesmaximal, characteristic, complemented
8#22621959C211yesmaximal, characteristic, complemented
9#22621783C211yesmaximal, characteristic, complemented
10#22621750C211yesmaximal, characteristic, complemented
11#22621638C211yesmaximal, characteristic, complemented
12#22621565C211yesmaximal, characteristic, complemented
13#22621530C211yesmaximal, characteristic, complemented
14#22621462C211yesmaximal, characteristic, complemented
15#22621442C211yesmaximal, characteristic, complemented
16#22621426C211yesmaximal, characteristic, complemented
17#22621419C211yesmaximal, characteristic, complemented
18#22621030C211yesmaximal, characteristic, complemented
19#22620996C211yesmaximal, characteristic, complemented
20#22620801C211yesmaximal, characteristic, complemented
21#22620786C211yesmaximal, characteristic, complemented
22#22620758C211yesmaximal, characteristic, complemented
23#22620720C211yesmaximal, characteristic, complemented
24#22620181C211yesmaximal, characteristic, complemented
25#22620121C211yesmaximal, characteristic, complemented
26#22619236C211yesmaximal, characteristic, complemented
27#22619204C211yesmaximal, characteristic, complemented
28#22619159C211yesmaximal, characteristic, complemented
29C2×#17988736C211yesmaximal, characteristic, complemented
30#22618973C211yesmaximal, characteristic, complemented
31D4×SD16×C73C211yesmaximal, characteristic, complemented
32C2×#14556636C2211yescharacteristic
33C22×D4×D73C2211yescharacteristic
34C2×#14556622C2211yescharacteristic, complemented
35C2×#14556618C2211yescharacteristic, complemented
36C2×#14556618C2211yescharacteristic, complemented
37C2×#14556618C2211yescharacteristic, complemented
38C2×#14556612C2211yescharacteristic, complemented
39C22×#11924015C2211yescharacteristic, complemented
40#17989336—21no—
41#17989333—21no—
42#17989308C2211yescharacteristic, complemented
43#17989295C2211yescharacteristic, complemented
44#17989291—21no—
45#17989286—21no—
46#17989283C2211yescharacteristic, complemented
47#17989278C2211yescharacteristic, complemented
48#17989248C2211yescharacteristic, complemented
49#17989248C2211yescharacteristic, complemented
50#17989240C2211yescharacteristic, complemented
51#17989234C2211yescharacteristic
52#17989233C2211yescharacteristic
53#17989232C2211yescharacteristic
54#17989231C2211yescharacteristic
55#17989226—21no—
56#17989224—21no—
57#17989222C2211yescharacteristic
58#17989221C2211yescharacteristic
59D4×C22⋊D73—21no—
60D4×C22⋊D73C2211yescharacteristic
61#17989219—21no—
62#17989211—21no—
63#17989209C2211yescharacteristic, complemented
64#17989198C2211yescharacteristic, complemented
65#17989183—21no—
66#17989177—21no—
67#17989170—21no—
68#17989167C2211yescharacteristic, complemented
69#17989161C2211yescharacteristic, complemented
70#17989153C2211yescharacteristic
71#17989150C2211yescharacteristic
72#17989147—21no—
73#17989145—21no—
74#17989100C2211yescharacteristic, complemented
75#17989097C2211yescharacteristic
76#17989096C2211yescharacteristic
77C2×#14556567C2211yescharacteristic, complemented
78C2×#14556559—21no—
79#120×D73—21no—
80#17989059C2211yescharacteristic
81#17988979C2211yescharacteristic, complemented
82#17988973C2211yescharacteristic, complemented
83#17988968C2211yescharacteristic, complemented
84#17988951C2211yescharacteristic, complemented
85#17988945C2211yescharacteristic, complemented
86#17988942C2211yescharacteristic, complemented
87#17988932C2211yescharacteristic, complemented
88#17988931C2211yescharacteristic, complemented
89#17988927C2211yescharacteristic, complemented
90#17988927C2211yescharacteristic, complemented
91#17988926C2211yescharacteristic, complemented
92#17988923C2211yescharacteristic, complemented
93#17988913C2211yescharacteristic, complemented
94#17988912C2211yescharacteristic, complemented
95#17988910C2211yescharacteristic, complemented
96#17988908C2211yescharacteristic, complemented
97#17988907C2211yescharacteristic, complemented
98#17988903C2211yescharacteristic, complemented
99#17988899C2211yescharacteristic, complemented
100#17988888C2211yescharacteristic, complemented
101#17988887C2211yescharacteristic, complemented
102#17988876C2211yescharacteristic, complemented
103#17988865C2211yescharacteristic, complemented
104#17988844C2211yescharacteristic, complemented
105#17988844C2211yescharacteristic, complemented
106#17988838C2211yescharacteristic, complemented
107#17988836C2211yescharacteristic, complemented
108#17988835C2211yescharacteristic, complemented
109#17988830C2211yescharacteristic, complemented
110#17988830C2211yescharacteristic, complemented
111#17988830C2211yescharacteristic, complemented
112#17988826C2211yescharacteristic, complemented
113#17988823C2211yescharacteristic, complemented
114#17988821C2211yescharacteristic, complemented
115#17988819C2211yescharacteristic, complemented
116#17988816C2211yescharacteristic, complemented
117#17988813C2211yescharacteristic, complemented
118#17988809C2211yescharacteristic, complemented
119#17988807C2211yescharacteristic, complemented
120#17988807C2211yescharacteristic, complemented
121#17988805C2211yescharacteristic, complemented
122#17988804C2211yescharacteristic, complemented
123#17988803C2211yescharacteristic, complemented
124#17988789C2211yescharacteristic, complemented
125#17988785C2211yescharacteristic, complemented
126#17988785C2211yescharacteristic, complemented
127#17988779C2211yescharacteristic, complemented
128#17988752C2211yescharacteristic, complemented
129#17988747C2211yescharacteristic, complemented
130#17988746C2211yescharacteristic, complemented
131#17988746C2211yescharacteristic, complemented
132#17988746C2211yescharacteristic, complemented
133#17988746C2211yescharacteristic, complemented
134#17988746C2211yescharacteristic, complemented
135#17988743C2211yescharacteristic, complemented
136#17988737C2211yescharacteristic, complemented
137#17988736C2211yescharacteristic
138#17988736C2211yescharacteristic
139#17988736C2211yescharacteristic
140#17988736C2211yescharacteristic, complemented
141#17988736C2211yescharacteristic, complemented
142#17988736C2211yescharacteristic, complemented
143#17988736C2211yescharacteristic, complemented
144#17988736C2211yescharacteristic, complemented
145#17988736C2211yescharacteristic, complemented
146#17988736C2211yescharacteristic, complemented
147#17988736C2211yescharacteristic, complemented
148#17988736C2211yescharacteristic, complemented
149#17988735C2211yescharacteristic, complemented
150#17988734C2211yescharacteristic, complemented
151#17988733C2211yescharacteristic, complemented
152#17988731C2211yescharacteristic, complemented
153#17988731C2211yescharacteristic, complemented
154#17988726C2211yescharacteristic, complemented
155#17988723C2211yescharacteristic, complemented
156#17988722C2211yescharacteristic
157#17988722C2211yescharacteristic, complemented
158#17988721C2211yescharacteristic, complemented
159#17988721C2211yescharacteristic, complemented
160#17988697C2211yescharacteristic, complemented
161#17988690C2211yescharacteristic, complemented
162#17988688C2211yescharacteristic, complemented
163#17988685C2211yescharacteristic, complemented
164SD16×Dic73C2211yescharacteristic, complemented
165#17988672C2211yescharacteristic, complemented
166C4×D584C2211yescharacteristic, complemented
167#17988666C2211yescharacteristic, complemented
168#17988662C2211yescharacteristic, complemented
169#17988659C2211yescharacteristic, complemented
170#17988658C2211yescharacteristic, complemented
171#17988657C2211yescharacteristic, complemented
172#17988655C2211yescharacteristic, complemented
173C8×C22⋊D73C2211yescharacteristic, complemented
174#17988647C2211yescharacteristic, complemented
175#17988646C2211yescharacteristic, complemented
176#17988592C2211yescharacteristic, complemented
177#17988590C2211yescharacteristic, complemented
178#17988590C2211yescharacteristic, complemented
179#17988585C2211yescharacteristic, complemented
180#17988584C2211yescharacteristic, complemented
181C2×#14556513C2211yescharacteristic, complemented
182C2×#14556512C2211yescharacteristic, complemented
183#102×D73C2211yescharacteristic, complemented
184#17988553C2211yescharacteristic, complemented
185#17988552C2211yescharacteristic, complemented
186#17988549C2211yescharacteristic, complemented
187C2×#14556503C2211yescharacteristic, complemented
188C22×SD16×C73C2211yescharacteristic, complemented
189C22×SD16×C73C2211yescharacteristic, complemented
190D4×Q8×C73C2211yescharacteristic, complemented
191D42×C73C2211yescharacteristic
192#492×C73C2211yescharacteristic, complemented
193#465×C73C2211yescharacteristic, complemented
194#465×C73C2211yescharacteristic, complemented
195#461×C73C2211yescharacteristic, complemented
196#460×C73C2211yescharacteristic, complemented
197#450×C73C2211yescharacteristic, complemented
198#450×C73C2211yescharacteristic, complemented
199#448×C73C2211yescharacteristic, complemented
200#448×C73C2211yescharacteristic, complemented
201C4×SD16×C73C2211yescharacteristic, complemented
202C8×D4×C73C2211yescharacteristic, complemented
203C24×D73—21no—
204#14556636—42no—
205#14556636—42no—
206C2×#11924029C2311yescharacteristic
207C2×#11924029C2311yescharacteristic, complemented
208C2×#11924028C2311yescharacteristic
209C2×#11924028C2311yescharacteristic
210C2×#11924027—21no—
211C2×#11924027C2311yescharacteristic
212C2×#11924027C2311yescharacteristic
213C22×D292C2311yescharacteristic
214C22×C22⋊D73—21no—
215C22×C22⋊D73—21no—
216C22×C22⋊D73—21no—
217C22×C22⋊D73—21no—
218C2×D4×D73—21no—
219C2×D4×D73—21no—
220C2×D4×D73—21no—
221C2×D4×D73—21no—
222C2×D4×D73—21no—
223C2×D4×D73—42no—
224C2×D4×D73—42no—
225C2×D4×D73C2311yescharacteristic
226C2×D4×D73C2311yescharacteristic
227C2×D4×D73C2311yescharacteristic
228C2×D4×D73C2311yescharacteristic
229C2×D4×D73C2311yescharacteristic
230C22×C4×D73C2311yescharacteristic
231#14556622—42no—
232#14556618—42no—
233#14556618—42no—
234#14556618—42no—
235#14556612—42no—
236C2×#11924018C2311yescharacteristic, complemented
237C2×#11924018C2311yescharacteristic, complemented
238C2×#11924018C2311yescharacteristic, complemented
239C2×#11924017C2311yescharacteristic, complemented
240C2×#11924015—42no—
241C2×#11924015C2311yescharacteristic
242C2×#11924015C2311yescharacteristic
243C2×#11924015C2311yescharacteristic
244C2×#11924015C2311yescharacteristic
245C2×#11924015C2311yescharacteristic
246C2×#11924015C2311yescharacteristic
247C2×D584C2311yescharacteristic
248C2×D584C2311yescharacteristic
249C2×#11924013C2311yescharacteristic
250C2×#11924013C2311yescharacteristic
251C2×#11924013C2311yescharacteristic, complemented
252C2×#11924012C2311yescharacteristic, complemented
253C2×#11924011C2311yescharacteristic
254C2×#11924011C2311yescharacteristic
255C2×#11924011C2311yescharacteristic, complemented
256C22×#10596831C2311yescharacteristic
257C2×C8×D73C2311yescharacteristic, complemented
258#14556590C2311yescharacteristic, complemented
259#14556589—21no—
260#14556587—21no—
261#14556587C2311yescharacteristic
262#14556586—21no—
263#14556586—21no—
264#14556586—21no—
265#14556586—21no—
266#14556585—21no—
267#14556585—21no—
268#14556584—21no—
269#14556583C2311yescharacteristic, complemented
270#14556581—21no—
271#14556581—21no—
272#14556581—21no—
273#14556581—21no—
274#14556580—21no—
275#14556580—21no—
276#14556580—21no—
277#14556580C2311yescharacteristic, complemented
278#14556579—21no—
279#14556579C2311yescharacteristic
280#14556578C2311yescharacteristic
281#14556577—21no—
282#14556577—21no—
283#14556576—21no—
284#14556576—21no—
285#14556576—21no—
286#14556576—21no—
287#14556576—21no—
288#14556576—21no—
289#14556576D411yescharacteristic
290#14556575—21no—
291#14556574—21no—
292#14556574—21no—
293#14556573—21no—
294#14556573—21no—
295#14556573—21no—
296#14556573D411yescharacteristic
297#14556572—21no—
298#14556571—21no—
299#14556571C2311yescharacteristic
300#14556570C2311yescharacteristic
301#14556569—21no—
302#14556569—21no—
303#14556569D411yescharacteristic
304#14556568—21no—
305#14556568D411yescharacteristic
306#14556567—21no—
307#14556567—21no—
308#14556567—21no—
309#14556567—21no—
310#14556567C2311yescharacteristic
311#14556567C2311yescharacteristic
312#14556567C2311yescharacteristic
313#14556567C2311yescharacteristic
314#14556567C2311yescharacteristic
315#14556567C2311yescharacteristic, complemented
316#14556567C2311yescharacteristic, complemented
317#14556566—21no—
318#14556566—21no—
319#14556566C2311yescharacteristic
320#14556566C2311yescharacteristic
321#14556565—21no—
322#14556565—21no—
323#14556565—21no—
324#14556565C2311yescharacteristic
325#14556565C2311yescharacteristic
326#14556565C2311yescharacteristic, complemented
327#14556564—21no—
328#14556564—21no—
329#14556564—21no—
330#14556564—21no—
331#14556564D411yescharacteristic
332#14556563—21no—
333#14556563—21no—
334#14556563—21no—
335#14556563—21no—
336#14556563—21no—
337#14556563D411yescharacteristic
338#14556562—21no—
339#14556562—21no—
340#14556562C2311yescharacteristic
341#14556562C2311yescharacteristic
342#14556561—21no—
343#14556561—21no—
344#14556561—21no—
345#14556561—21no—
346#14556561D411yescharacteristic
347#14556560—21no—
348#14556560—21no—
349#14556559—21no—
350#14556559—21no—
351#14556559—21no—
352#14556559—21no—
353#14556559—21no—
354#14556559—21no—
355#14556559—21no—
356#14556559—21no—
357#14556559—21no—
358#14556559—21no—
359#14556559D411yescharacteristic
360Q8×Dic73C2311yescharacteristic, complemented
361Q8×Dic73C2311yescharacteristic, complemented
362#14556556—21no—
363C4×D292C2311yescharacteristic
364C4×D292C2311yescharacteristic
365C4×D292C2311yescharacteristic, complemented
366D4×Dic73—21no—
367D4×Dic73C2311yescharacteristic
368#14556553—21no—
369#14556553C2311yescharacteristic
370C4×C22⋊D73—21no—
371C4×C22⋊D73—21no—
372C4×C22⋊D73—21no—
373C4×C22⋊D73C2311yescharacteristic
374C4×C22⋊D73C2311yescharacteristic
375#14556551—21no—
376#14556551—21no—
377#14556551—21no—
378#14556551—21no—
379#14556551—21no—
380#14556550C2311yescharacteristic, complemented
381#14556549C2311yescharacteristic
382#14556549C2311yescharacteristic
383#14556548—21no—
384#14556548C2311yescharacteristic
385C2×C4⋊Dic73C2311yescharacteristic
386C2×#11924007—21no—
387C4⋊C4×D73—21no—
388C4⋊C4×D73C2311yescharacteristic, complemented
389C2×C22⋊Dic73—21no—
390C2×#11924005—21no—
391C2×#11924005—21no—
392C2×#11924005—21no—
393C22⋊C4×D73—21no—
394C22⋊C4×D73—21no—
395C22⋊C4×D73—21no—
396#14556525C2311yescharacteristic, complemented
397#14556525C2311yescharacteristic, complemented
398#14556524C2311yescharacteristic, complemented
399#14556524C2311yescharacteristic, complemented
400#14556523C2311yescharacteristic, complemented
401#14556522C2311yescharacteristic, complemented
402#14556522C2311yescharacteristic, complemented
403C4⋊#10596831C2311yescharacteristic, complemented
404#14556520C2311yescharacteristic, complemented
405#14556520C2311yescharacteristic, complemented
406#14556516C2311yescharacteristic, complemented
407#14556516C2311yescharacteristic, complemented
408#14556516C2311yescharacteristic, complemented
409#14556515C2311yescharacteristic, complemented
410#14556515C2311yescharacteristic, complemented
411#14556515C2311yescharacteristic, complemented
412#14556514C2311yescharacteristic, complemented
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556513C2311yescharacteristic, complemented
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556512C2311yescharacteristic, complemented
427#14556512C2311yescharacteristic, complemented
428#14556512C2311yescharacteristic, complemented
429#14556511C2311yescharacteristic
430#14556511C2311yescharacteristic
431#14556511C2311yescharacteristic, complemented
432C22⋊#10596831C2311yescharacteristic
433C22⋊#10596831C2311yescharacteristic, complemented
434#14556503C2311yescharacteristic
435#14556503C2311yescharacteristic
436#14556503C2311yescharacteristic
437#14556503C2311yescharacteristic
438#14556503C2311yescharacteristic
439#14556503C2311yescharacteristic
440#14556503C2311yescharacteristic, complemented
441#14556503C2311yescharacteristic, complemented
442#14556502C2311yescharacteristic, complemented
443#14556501C2311yescharacteristic, complemented
444C8×Dic73C2311yescharacteristic, complemented
445C22×Q8×C73C2311yescharacteristic
446C22×Q8×C73C2311yescharacteristic, complemented
447C22×D4×C73—21no—
448C22×D4×C73C2311yescharacteristic
449C22×D4×C73C2311yescharacteristic
450C2×SD16×C73—42no—
451C2×SD16×C73—42no—
452C2×SD16×C73C2311yescharacteristic
453C2×SD16×C73C2311yescharacteristic
454C2×SD16×C73C2311yescharacteristic
455C2×SD16×C73C2311yescharacteristic
456C2×SD16×C73C2311yescharacteristic
457C2×SD16×C73C2311yescharacteristic
458C2×SD16×C73C2311yescharacteristic, complemented
459C2×SD16×C73C2311yescharacteristic, complemented
460C2×SD16×C73C2311yescharacteristic, complemented
461C22×C8×C73C2311yescharacteristic
462C22×C8×C73C2311yescharacteristic, complemented
463C4⋊Q8×C73—21no—
464C4⋊Q8×C73C2311yescharacteristic, complemented
465#127×C73C2311yescharacteristic
466C22⋊Q8×C73—21no—
467C22⋊Q8×C73—21no—
468C22⋊Q8×C73C2311yescharacteristic
469C22⋊Q8×C73C2311yescharacteristic, complemented
470#121×C73—21no—
471#121×C73C2311yescharacteristic
472#121×C73C2311yescharacteristic
473#120×C73—21no—
474#120×C73—21no—
475C4×Q8×C73C2311yescharacteristic, complemented
476C4×D4×C73—21no—
477C4×D4×C73C2311yescharacteristic
478C4×D4×C73C2311yescharacteristic
479#106×C73C2311yescharacteristic, complemented
480C4⋊C8×C73C2311yescharacteristic, complemented
481#103×C73C2311yescharacteristic, complemented
482#103×C73C2311yescharacteristic, complemented
483#103×C73C2311yescharacteristic, complemented
484#102×C73C2311yescharacteristic
485#102×C73C2311yescharacteristic
486#102×C73C2311yescharacteristic, complemented
487C22⋊C8×C73C2311yescharacteristic
488C22⋊C8×C73C2311yescharacteristic, complemented
489C4×C8×C73C2311yescharacteristic, complemented
490C23×D73—21no—
491C23×D73—21no—
492C23×D73—21no—
493C23×D73—21no—
494C23×D73—21no—
495C23×D73—21no—
496C23×D73—44no—
497C23×D73—82no—
498C23×D73—82no—
499C23×D73C2×D411yescharacteristic
500#11924029—41no—
501#11924029—41no—
502#11924029—41no—
503#11924029—41no—
504#11924028—22no—
505#11924028—41no—
506#11924028—41no—
507#11924028—41no—
508#11924027—22no—
509#11924027—41no—
510#11924027—41no—
511#11924027—41no—
512#11924027—44no—
513C2×Dic146—21no—
514C2×Dic146C2×D411yescharacteristic
515C2×Dic146C2411yescharacteristic
516C2×D292—22no—
517C2×D292—21no—
518C2×D292—21no—
519C2×D292—21no—
520C2×D292—21no—
521C2×D292—21no—
522C2×D292—41no—
523C2×D292C2×D411yescharacteristic
524C2×D292C2×D411yescharacteristic
525C2×D292C2411yescharacteristic
526C2×D292C2411yescharacteristic
527C2×D292C2411yescharacteristic
528C2×C22⋊D73—21no—
529C2×C22⋊D73—21no—
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—21no—
537C2×C22⋊D73—21no—
538C2×C22⋊D73—21no—
539C2×C22⋊D73—21no—
540C2×C22⋊D73—21no—
541C2×C22⋊D73—21no—
542C2×C22⋊D73—21no—
543C2×C22⋊D73—44no—
544C2×C22⋊D73—44no—
545C2×C22⋊D73—44no—
546C2×C22⋊D73—82no—
547C2×C22⋊D73C2×D411yescharacteristic
548C2×C22⋊D73C2×D411yescharacteristic
549C2×C22⋊D73C2×D411yescharacteristic
550C2×C22⋊D73C2×D411yescharacteristic
551D4×D73—22no—
552D4×D73—22no—
553D4×D73—22no—
554D4×D73—22no—
555D4×D73—22no—
556D4×D73—41no—
557D4×D73—41no—
558D4×D73—41no—
559D4×D73—41no—
560D4×D73—41no—
561D4×D73—44no—
562D4×D73—44no—
563D4×D73—44no—
564D4×D73—82no—
565D4×D73—82no—
566C22×Dic73—21no—
567C22×Dic73—21no—
568C22×Dic73—21no—
569C22×Dic73—21no—
570C22×Dic73C2×D411yescharacteristic
571C2×C4×D73—21no—
572C2×C4×D73—21no—
573C2×C4×D73—21no—
574C2×C4×D73—21no—
575C2×C4×D73—21no—
576C2×C4×D73—21no—
577C2×C4×D73—21no—
578C2×C4×D73—41no—
579C2×C4×D73—41no—
580C2×C4×D73C2×D411yescharacteristic
581C2×C4×D73C2×D411yescharacteristic
582C2×C4×D73C2411yescharacteristic
583C2×C4×D73C2411yescharacteristic
584C2×C4×D73C2411yescharacteristic
585#11924018—41no—
586#11924018—41no—
587#11924018—41no—
588#11924017—41no—
589#11924015—22no—
590#11924015—22no—
591#11924015—22no—
592#11924015—41no—
593#11924015—41no—
594#11924015—41no—
595D584—22no—
596D584—41no—
597#11924013—22no—
598#11924013—41no—
599#11924013—41no—
600#11924012—41no—
601#11924011—41no—
602#11924011—41no—
603#11924011—41no—
604C2×#10596831—41no—
605C2×#10596831C2411yescharacteristic
606C2×#10596831C2411yescharacteristic
607C2×#10596831C2411yescharacteristic
608C2×#10596831C2411yescharacteristic
609C8×D73—41no—
610C4⋊Dic73—21no—
611C4⋊Dic73—21no—
612C4⋊Dic73—21no—
613C4⋊Dic73—21no—
614C4⋊Dic73C2×D411yescharacteristic
615C4⋊Dic73C2411yescharacteristic
616C4⋊Dic73C2411yescharacteristic
617C4⋊Dic73C2411yescharacteristic
618C4⋊Dic73C2411yescharacteristic
619#11924007—21no—
620#11924007—21no—
621#11924007—21no—
622#11924007—21no—
623#11924007—21no—
624#11924007—21no—
625#11924007—21no—
626#11924007—21no—
627#11924007—21no—
628#11924007—21no—
629#11924007—21no—
630#11924007—21no—
631#11924007C2×D411yescharacteristic
632#11924007C2×D411yescharacteristic
633#11924007C2×D411yescharacteristic
634#11924007C2×D411yescharacteristic
635C22⋊Dic73—21no—
636C22⋊Dic73—21no—
637C22⋊Dic73—21no—
638C22⋊Dic73—21no—
639C22⋊Dic73—21no—
640C22⋊Dic73—21no—
641C22⋊Dic73—21no—
642C22⋊Dic73C2×D411yescharacteristic
643C22⋊Dic73C2×D411yescharacteristic
644#11924005—21no—
645#11924005—21no—
646#11924005—21no—
647#11924005—21no—
648#11924005—21no—
649#11924005—21no—
650#11924005—21no—
651#11924005—21no—
652#11924005—21no—
653#11924005—21no—
654#11924005—21no—
655#11924005—21no—
656#11924005—21no—
657#11924005—21no—
658#11924005—21no—
659#11924005—21no—
660#11924005—21no—
661#11924005—21no—
662#11924005—21no—
663#11924005—21no—
664#11924005—21no—
665#11924005—21no—
666#11924005C2×D411yescharacteristic
667#11924005C2×D411yescharacteristic
668#11924005C2×D411yescharacteristic
669#11924005C2×D411yescharacteristic
670#11924005C2×D411yescharacteristic
671#11924005C2×D411yescharacteristic
672C4×Dic73—21no—
673C4×Dic73—21no—
674C4×Dic73—21no—
675C4×Dic73—21no—
676C4×Dic73—21no—
677C4×Dic73C2411yescharacteristic
678C24×C73—21no—
679C24×C73—21no—
680C2×Q8×C73—21no—
681C2×Q8×C73—21no—
682C2×Q8×C73—41no—
683C2×Q8×C73—41no—
684C2×Q8×C73—41no—
685C2×Q8×C73—41no—
686C2×Q8×C73C2411yescharacteristic
687C2×Q8×C73C2411yescharacteristic
688C2×Q8×C73C2411yescharacteristic
689C2×D4×C73—22no—
690C2×D4×C73—22no—
691C2×D4×C73—21no—
692C2×D4×C73—21no—
693C2×D4×C73—21no—
694C2×D4×C73—21no—
695C2×D4×C73—21no—
696C2×D4×C73—21no—
697C2×D4×C73—41no—
698C2×D4×C73—41no—
699C2×D4×C73—82no—
700C2×D4×C73C2×D411yescharacteristic
701C2×D4×C73C2411yescharacteristic
702C2×D4×C73C2411yescharacteristic
703C2×D4×C73C2411yescharacteristic
704C22×C4×C73—21no—
705C22×C4×C73—21no—
706C22×C4×C73—21no—
707C22×C4×C73C2411yescharacteristic
708C22×C4×C73C2411yescharacteristic
709SD16×C73—22no—
710SD16×C73—22no—
711SD16×C73—22no—
712SD16×C73—41no—
713SD16×C73—41no—
714SD16×C73—41no—
715SD16×C73—41no—
716SD16×C73—41no—
717SD16×C73—41no—
718C2×C8×C73—41no—
719C2×C8×C73—41no—
720C2×C8×C73C2411yescharacteristic
721C2×C8×C73C2411yescharacteristic
722C2×C8×C73C2411yescharacteristic
723C2×C8×C73C2411yescharacteristic
724C4⋊C4×C73—21no—
725C4⋊C4×C73—21no—
726C4⋊C4×C73—21no—
727C4⋊C4×C73—21no—
728C4⋊C4×C73—21no—
729C4⋊C4×C73C2×D411yescharacteristic
730C4⋊C4×C73C2411yescharacteristic
731C4⋊C4×C73C2411yescharacteristic
732C22⋊C4×C73—21no—
733C22⋊C4×C73—21no—
734C22⋊C4×C73—21no—
735C22⋊C4×C73—21no—
736C22⋊C4×C73—21no—
737C22⋊C4×C73C2×D411yescharacteristic
738C22⋊C4×C73C2×D411yescharacteristic
739C42×C73—21no—
740C42×C73C2411yescharacteristic
741C23×C73—21no—
742C23×C73—21no—
743C23×C73—21no—
744C23×C73—42no—
745C23×C73—42no—
746C23×C73—42no—
747C23×C73—81no—
748C23×C73—81no—
749C23×C73—81no—
750C23×C73C22×D411yescharacteristic
751C23×C73C22×D411yescharacteristic
752C22×D73—22no—
753C22×D73—21no—
754C22×D73—24no—
755C22×D73—21no—
756C22×D73—21no—
757C22×D73—41no—
758C22×D73—41no—
759C22×D73—42no—
760C22×D73—42no—
761C22×D73—42no—
762C22×D73—42no—
763C22×D73—42no—
764C22×D73—42no—
765C22×D73—42no—
766C22×D73—42no—
767C22×D73—81no—
768C22×D73—81no—
769C22×D73—81no—
770C22×D73—81no—
771C22×D73—81no—
772C22×D73—81no—
773C22×D73—81no—
774C22×D73—81no—
775C22×D73—81no—
776C22×D73—816no—
777C22×D73C22×D411yescharacteristic
778C22×D73C22×D411yescharacteristic
779C22×D73C22×D411yescharacteristic
780Q8×C73—21no—
781Q8×C73—21no—
782Q8×C73—21no—
783Q8×C73—21no—
784Q8×C73—21no—
785Q8×C73—21no—
786Q8×C73—81no—
787Q8×C73—81no—
788D4×C73—22no—
789D4×C73—21no—
790D4×C73—21no—
791D4×C73—21no—
792D4×C73—21no—
793D4×C73—21no—
794D4×C73—42no—
795D4×C73—42no—
796D4×C73—42no—
797D4×C73—81no—
798D4×C73—81no—
799D4×C73—81no—
800D4×C73H(5,𝔽2)12yes—
801C2×C4×C73—21no—
802C2×C4×C73—21no—
803C2×C4×C73—21no—
804C2×C4×C73—21no—
805C2×C4×C73—21no—
806C2×C4×C73—21no—
807C2×C4×C73—21no—
808C2×C4×C73—21no—
809C2×C4×C73—21no—
810C2×C4×C73—81no—
811C2×C4×C73—81no—
812C2×C4×C73—81no—
813C2×C4×C73C22×D411yescharacteristic
814C2×C4×C73C22×D411yescharacteristic
815C2×C4×C73C22×D411yescharacteristic
816C2×C4×C73C22×D411yescharacteristic
817C2×C4×C73C2511yescharacteristic
818C22⋊D73—24no—
819C22⋊D73—22no—
820C22⋊D73—41no—
821C22⋊D73—41no—
822C22⋊D73—41no—
823C22⋊D73—42no—
824C22⋊D73—42no—
825C22⋊D73—42no—
826C22⋊D73—42no—
827C22⋊D73—42no—
828C22⋊D73—42no—
829C22⋊D73—42no—
830C22⋊D73—42no—
831C22⋊D73—42no—
832C22⋊D73—81no—
833C22⋊D73—81no—
834C22⋊D73—81no—
835C22⋊D73—81no—
836C22⋊D73—81no—
837C2×Dic73—21no—
838C2×Dic73—21no—
839C2×Dic73—21no—
840C2×Dic73—21no—
841C2×Dic73—21no—
842C2×Dic73—41no—
843C2×Dic73—42no—
844C2×Dic73—42no—
845C2×Dic73—81no—
846C2×Dic73—81no—
847C2×Dic73C22×D411yescharacteristic
848C2×Dic73C22×D411yescharacteristic
849C2×Dic73C22×D411yescharacteristic
850C2×Dic73C22×D411yescharacteristic
851C2×Dic73C22×D411yescharacteristic
852D292—21no—
853D292—21no—
854D292—21no—
855D292—21no—
856D292—21no—
857D292—41no—
858D292—41no—
859D292—42no—
860D292—81no—
861D292—81no—
862D292—81no—
863D292—81no—
864D292H(5,𝔽2)12yes—
865C4×D73—21no—
866C4×D73—21no—
867C4×D73—21no—
868C4×D73—21no—
869C4×D73—21no—
870C4×D73—21no—
871C4×D73—41no—
872C4×D73—41no—
873C4×D73—42no—
874C4×D73—81no—
875C4×D73—81no—
876C4×D73—81no—
877C4×D73—81no—
878C4×D73—81no—
879C4×D73—81no—
880Dic146—21no—
881Dic146—21no—
882Dic146—41no—
883Dic146—81no—
884C8×C73—21no—
885C8×C73—21no—
886C8×C73—21no—
887C8×C73—21no—
888#10596831—21no—
889#10596831—21no—
890#10596831—21no—
891#10596831—21no—
892C22×C73—21no—
893C22×C73—21no—
894C22×C73—21no—
895C22×C73—22no—
896C22×C73—21no—
897C22×C73—21no—
898C22×C73—41no—
899C22×C73—41no—
900C22×C73—41no—
901C22×C73—41no—
902C22×C73—41no—
903C22×C73—41no—
904C22×C73—41no—
905C22×C73—41no—
906C22×C73—84no—
907C22×C73—162no—
908C22×C73#57712yes—
909C22×C73C23×D411yescharacteristic
910C2×D73—21no—
911C2×D73—21no—
912C2×D73—21no—
913C2×D73—21no—
914C2×D73—21no—
915C2×D73—21no—
916C2×D73—22no—
917C2×D73—21no—
918C2×D73—21no—
919C2×D73—21no—
920C2×D73—44no—
921C2×D73—41no—
922C2×D73—41no—
923C2×D73—41no—
924C2×D73—41no—
925C2×D73—41no—
926C2×D73—41no—
927C2×D73—41no—
928C2×D73—41no—
929C2×D73—84no—
930C2×D73—84no—
931C2×D73—84no—
932C2×D73—84no—
933C2×D73—84no—
934C2×D73—162no—
935C4×C73—21no—
936C4×C73—21no—
937C4×C73—21no—
938C4×C73—21no—
939C4×C73—41no—
940C4×C73—41no—
941C4×C73—41no—
942C4×C73—41no—
943C4×C73—41no—
944C4×C73C2×H(5,𝔽2)11yescharacteristic
945C4×C73C2×H(5,𝔽2)11yescharacteristic
946Dic73—21no—
947Dic73—21no—
948Dic73—21no—
949Dic73—21no—
950Dic73—21no—
951Dic73—41no—
952Dic73—41no—
953Dic73—41no—
954Dic73—41no—
955Dic73—41no—
956#61610—731nomaximal, Sylow
957C2×C73—22no—
958C2×C73—42no—
959C2×C73—41no—
960C2×C73—81no—
961C2×C73—81no—
962C2×C73#348411yescharacteristic
963C2×C73C2×#57711yescharacteristic
964C2×C73#358511yescharacteristic
965D73—41no—
966D73—41no—
967D73—41no—
968D73—42no—
969D73—81no—
970D73—81no—
971#3541—731no—
972#3484—731no—
973#3324—731no—
974#3323—731no—
975#3318—731no—
976#3314—731no—
977#3311—731no—
978#3310—731no—
979#3297—731no—
980#3295—731no—
981#3282—731no—
982D4×SD16D7311yescharacteristic, complemented
983#3275—731no—
984#3272—731no—
985#3267—731no—
986#3266—731no—
987#3265—731no—
988#3265—731no—
989#3224—731no—
990#3222—731no—
991#3200—731no—
992#3198—731no—
993#3196—731no—
994#3191—731no—
995#3123—731no—
996#3118—731no—
997#3012—731no—
998#3009—731no—
999#3003—731no—
1000C2×#450—731no—
1001#2976—731no—
1002C73#6161011yescharacteristic, complemented, Sylow
1003C2×H(5,𝔽2)—731no—
1004C23×D4—731no—
1005C2×#137—731no—
1006C2×AGL(1,ℤ/8)—731no—
1007C2×AGL(1,ℤ/8)—731no—
1008C2×AGL(1,ℤ/8)—731no—
1009C2×#135—731no—
1010C22×SD16—731no—
1011C22×SD16C2×D7311yescharacteristic, complemented
1012C22×SD16C2×D7311yescharacteristic, complemented
1013#563—1461no—
1014#562—1461no—
1015#556—731no—
1016#554—731no—
1017#554—1461no—
1018#553—731no—
1019#553—1461no—
1020#552—731no—
1021D4×Q8C2×D7311yescharacteristic, complemented
1022#548—731no—
1023#548—731no—
1024#547—731no—
1025#546—731no—
1026#546—731no—
1027#546—731no—
1028#546—731no—
1029#546—1461no—
1030#546—1461no—
1031D42—731no—
1032D42—731no—
1033D42—731no—
1034D42—1461no—
1035D42—1461no—
1036D42C2×D7311yescharacteristic
1037#542—731no—
1038#542—1461no—
1039#541—731no—
1040#539—1461no—
1041#538—1461no—
1042#538—1461no—
1043#537—731no—
1044#536—731no—
1045#535—731no—
1046#535—731no—
1047#534—1461no—
1048#534—1461no—
1049#525—731no—
1050#525—731no—
1051#525—731no—
1052C2×C22⋊Q8—731no—
1053C2×#120—1461no—
1054C2×#120—1461no—
1055#518—731no—
1056#497—731no—
1057#496—731no—
1058#495—731no—
1059#492C2×D7311yescharacteristic, complemented
1060#490—731no—
1061#489—731no—
1062#488—731no—
1063#486—731no—
1064#485—731no—
1065#485—731no—
1066#485—731no—
1067#485—731no—
1068#484—731no—
1069#482—731no—
1070#482—731no—
1071#482—731no—
1072#482—731no—
1073#481—731no—
1074#481—731no—
1075#480—731no—
1076#478—731no—
1077#478—731no—
1078#476—731no—
1079#474—731no—
1080#470—731no—
1081#470—731no—
1082#469—731no—
1083#468—731no—
1084#468—731no—
1085#468—731no—
1086#468—731no—
1087#468—731no—
1088#467—731no—
1089#466—731no—
1090#466—731no—
1091#465—731no—
1092#465—731no—
1093#465—731no—
1094#465C2×D7311yescharacteristic, complemented
1095#465C2×D7311yescharacteristic, complemented
1096#464—731no—
1097#464—731no—
1098#464—731no—
1099#463—731no—
1100#463—731no—
1101#463—731no—
1102#461—731no—
1103#461C2×D7311yescharacteristic, complemented
1104#460—731no—
1105#460—731no—
1106#460C2×D7311yescharacteristic, complemented
1107#459—731no—
1108#452—731no—
1109#452—731no—
1110#452—731no—
1111#452—731no—
1112#452—731no—
1113#452—731no—
1114#452—731no—
1115#451—731no—
1116#450—731no—
1117#450—731no—
1118#450—731no—
1119#450—731no—
1120#450—731no—
1121#450—731no—
1122#450—731no—
1123#450—731no—
1124#450—731no—
1125#450—731no—
1126#450—731no—
1127#450—731no—
1128#450—731no—
1129#450C2×D7311yescharacteristic, complemented
1130#450C2×D7311yescharacteristic, complemented
1131#449—731no—
1132#449—731no—
1133#449—731no—
1134#449—731no—
1135#449—731no—
1136#448—731no—
1137#448C2×D7311yescharacteristic, complemented
1138#448C2×D7311yescharacteristic, complemented
1139#447—731no—
1140#447—731no—
1141#447—731no—
1142#447—731no—
1143#447—731no—
1144#442—731no—
1145#440—731no—
1146#440—731no—
1147#440—731no—
1148C4×SD16—731no—
1149C4×SD16—731no—
1150C4×SD16C2×D7311yescharacteristic, complemented
1151C4×D8—731no—
1152#436—731no—
1153#436—731no—
1154#435—731no—
1155#435—731no—
1156#435—731no—
1157#435—731no—
1158C8×D4—731no—
1159C8×D4C2×D7311yescharacteristic, complemented
1160#433—731no—
1161#433—731no—
1162#418—731no—
1163#418—731no—
1164#418—731no—
1165#417—731no—
1166#416—731no—
1167C2×#102—731no—
1168C2×#102—731no—
1169C2×#102—731no—
1170#408—731no—
1171#408—731no—
1172#407—731no—
1173C2×C22⋊C8—731no—
1174C25—1461no—
1175H(5,𝔽2)—2922no—
1176H(5,𝔽2)—2922no—
1177C2×#41—731no—
1178C2×#41—731no—
1179C2×#41—731no—
1180C2×#41—731no—
1181C2×#41—731no—
1182C2×#41—731no—
1183C2×#41—1461no—
1184C22×Q8C22×D7311yescharacteristic
1185C22×Q8C22×D7311yescharacteristic, complemented
1186C22×D4—21no—
1187C22×D4—2922no—
1188C22×D4—2922no—
1189C22×D4—731no—
1190C22×D4—731no—
1191C22×D4—731no—
1192C22×D4—731no—
1193C22×D4—731no—
1194C22×D4—731no—
1195C22×D4—1461no—
1196C22×D4—1461no—
1197C22×D4—1461no—
1198C22×D4—1461no—
1199C22×D4—1461no—
1200C22×D4—1461no—
1201C22×D4—1461no—
1202C22×D4—1461no—
1203C22×D4—1461no—
1204C22×D4C22×D7311yescharacteristic
1205C22×D4C22×D7311yescharacteristic
1206C23×C4—731no—
1207#137—2922no—
1208AGL(1,ℤ/8)—2922no—
1209AGL(1,ℤ/8)—2922no—
1210AGL(1,ℤ/8)—2922no—
1211#135—2922no—
1212C2×Q16—731no—
1213C2×Q16—731no—
1214C2×Q16—731no—
1215C2×SD16—42no—
1216C2×SD16—42no—
1217C2×SD16—2922no—
1218C2×SD16—731no—
1219C2×SD16—731no—
1220C2×SD16—731no—
1221C2×SD16—731no—
1222C2×SD16—731no—
1223C2×SD16—731no—
1224C2×SD16—731no—
1225C2×SD16C22×D7311yescharacteristic
1226C2×SD16C22×D7311yescharacteristic
1227C2×SD16C22×D7311yescharacteristic
1228C2×SD16C22×D7311yescharacteristic
1229C2×SD16C22×D7311yescharacteristic
1230C2×SD16C22×D7311yescharacteristic
1231C2×SD16C22×D7311yescharacteristic, complemented
1232C2×SD16C22×D7311yescharacteristic, complemented
1233C2×SD16C22×D7311yescharacteristic, complemented
1234C2×D8—731no—
1235C2×D8—731no—
1236C2×D8—731no—
1237C2×D8—731no—
1238C2×D8—731no—
1239C2×M16—731no—
1240C2×M16—731no—
1241C2×M16—731no—
1242C2×M16—731no—
1243C22×C8—731no—
1244C22×C8—731no—
1245C22×C8C22×D7311yescharacteristic
1246C22×C8C22×D7311yescharacteristic, complemented
1247C4⋊Q8—21no—
1248C4⋊Q8—731no—
1249C4⋊Q8—1461no—
1250C4⋊Q8C22×D7311yescharacteristic, complemented
1251#127—731no—
1252#127—1461no—
1253#127C22×D7311yescharacteristic
1254#126—1461no—
1255#126—1461no—
1256#126—1461no—
1257#126—1461no—
1258#126—1461no—
1259#126—1461no—
1260#126—1461no—
1261#125—731no—
1262#125—1461no—
1263#125—1461no—
1264#125—1461no—
1265#125—1461no—
1266#124—731no—
1267#124—731no—
1268#124—731no—
1269#124—1461no—
1270#124—1461no—
1271#124—1461no—
1272#124—1461no—
1273#124—1461no—
1274#124—1461no—
1275#123—731no—
1276#123—731no—
1277#123—1461no—
1278#123—1461no—
1279#123—1461no—
1280#123—1461no—
1281#123—1461no—
1282#123—1461no—
1283#123—1461no—
1284#123—1461no—
1285#123—1461no—
1286#123—1461no—
1287#123—1461no—
1288#123—1461no—
1289#123—1461no—
1290C22⋊Q8—21no—
1291C22⋊Q8—21no—
1292C22⋊Q8—731no—
1293C22⋊Q8—731no—
1294C22⋊Q8—731no—
1295C22⋊Q8—731no—
1296C22⋊Q8—731no—
1297C22⋊Q8—731no—
1298C22⋊Q8—731no—
1299C22⋊Q8—731no—
1300C22⋊Q8—731no—
1301C22⋊Q8—731no—
1302C22⋊Q8—731no—
1303C22⋊Q8—1461no—
1304C22⋊Q8—1461no—
1305C22⋊Q8—1461no—
1306C22⋊Q8—1461no—
1307C22⋊Q8—1461no—
1308C22⋊Q8—1461no—
1309C22⋊Q8—1461no—
1310C22⋊Q8—1461no—
1311C22⋊Q8C22×D7311yescharacteristic
1312C22⋊Q8C22×D7311yescharacteristic, complemented
1313#121—21no—
1314#121—731no—
1315#121—731no—
1316#121—731no—
1317#121—731no—
1318#121—731no—
1319#121—731no—
1320#121—731no—
1321#121—731no—
1322#121—731no—
1323#121—1461no—
1324#121—1461no—
1325#121—1461no—
1326#121—1461no—
1327#121—1461no—
1328#121—1461no—
1329#121—1461no—
1330#121—1461no—
1331#121—1461no—
1332#121—1461no—
1333#121—1461no—
1334#121—1461no—
1335#121—1461no—
1336#121—1461no—
1337#121—1461no—
1338#121—1461no—
1339#121C22×D7311yescharacteristic
1340#121C22×D7311yescharacteristic
1341#120—21no—
1342#120—21no—
1343#120—731no—
1344#120—731no—
1345#120—1461no—
1346#120—1461no—
1347#120—1461no—
1348#120—1461no—
1349#120—1461no—
1350#120—1461no—
1351#120—1461no—
1352#120—1461no—
1353#120—1461no—
1354#120—1461no—
1355#120—1461no—
1356#120—1461no—
1357#120—1461no—
1358#120—1461no—
1359#120—1461no—
1360#120—1461no—
1361C4×Q8—731no—
1362C4×Q8—731no—
1363C4×Q8—1461no—
1364C4×Q8C22×D7311yescharacteristic, complemented
1365C4×D4—21no—
1366C4×D4—731no—
1367C4×D4—731no—
1368C4×D4—731no—
1369C4×D4—731no—
1370C4×D4—731no—
1371C4×D4—731no—
1372C4×D4—731no—
1373C4×D4—1461no—
1374C4×D4—1461no—
1375C4×D4—1461no—
1376C4×D4—1461no—
1377C4×D4—1461no—
1378C4×D4—1461no—
1379C4×D4—1461no—
1380C4×D4—1461no—
1381C4×D4—1461no—
1382C4×D4—1461no—
1383C4×D4C22×D7311yescharacteristic
1384C4×D4C22×D7311yescharacteristic
1385#117—731no—
1386#117—731no—
1387#117—731no—
1388#117—731no—
1389#117—1461no—
1390C2×C4⋊C4—731no—
1391C2×C4⋊C4—731no—
1392C2×C4⋊C4—1461no—
1393C2×C4⋊C4—1461no—
1394C2×C22⋊C4—1461no—
1395C2×C22⋊C4—1461no—
1396C2×C22⋊C4—1461no—
1397C2×C22⋊C4—1461no—
1398C2×C22⋊C4—1461no—
1399C2×C22⋊C4—1461no—
1400C2×C22⋊C4—1461no—
1401#107—731no—
1402#107—731no—
1403#107—731no—
1404#107—731no—
1405#106—731no—
1406#106—731no—
1407#106—731no—
1408#106C22×D7311yescharacteristic, complemented
1409C4⋊C8—731no—
1410C4⋊C8—731no—
1411C4⋊C8—731no—
1412C4⋊C8C22×D7311yescharacteristic, complemented
1413#103—731no—
1414#103—731no—
1415#103—731no—
1416#103—731no—
1417#103—731no—
1418#103—731no—
1419#103—731no—
1420#103C22×D7311yescharacteristic, complemented
1421#103C22×D7311yescharacteristic, complemented
1422#103C22×D7311yescharacteristic, complemented
1423#102—731no—
1424#102—731no—
1425#102—731no—
1426#102—731no—
1427#102—731no—
1428#102—731no—
1429#102—731no—
1430#102—731no—
1431#102—731no—
1432#102—731no—
1433#102—731no—
1434#102—731no—
1435#102—731no—
1436#102—731no—
1437#102—731no—
1438#102—731no—
1439#102—731no—
1440#102—731no—
1441#102—731no—
1442#102C22×D7311yescharacteristic
1443#102C22×D7311yescharacteristic
1444#102C22×D7311yescharacteristic, complemented
1445C22⋊C8—731no—
1446C22⋊C8—731no—
1447C22⋊C8—731no—
1448C22⋊C8—731no—
1449C22⋊C8—731no—
1450C22⋊C8—731no—
1451C22⋊C8—731no—
1452C22⋊C8—731no—
1453C22⋊C8—731no—
1454C22⋊C8—731no—
1455C22⋊C8C22×D7311yescharacteristic
1456C22⋊C8C22×D7311yescharacteristic, complemented
1457#97—731no—
1458#97—731no—
1459C4×C8—731no—
1460C4×C8C22×D7311yescharacteristic, complemented
1461C24—21no—
1462C24—21no—
1463C24—2924no—
1464C24—5842no—
1465C24—5842no—
1466C24—731no—
1467C24—1461no—
1468C24—1461no—
1469C24—1461no—
1470C24—1461no—
1471C24—1461no—
1472C24—1461no—
1473#41—2921no—
1474#41—2921no—
1475#41—2921no—
1476#41—2924no—
1477#41—2921no—
1478#41—2921no—
1479#41—2921no—
1480#41—2921no—
1481#41—2921no—
1482#41—2921no—
1483#41—2921no—
1484#41—1462no—
1485#41—1462no—
1486C2×Q8—21no—
1487C2×Q8—21no—
1488C2×Q8—41no—
1489C2×Q8—41no—
1490C2×Q8—41no—
1491C2×Q8—41no—
1492C2×Q8—731no—
1493C2×Q8—731no—
1494C2×Q8—1461no—
1495C2×Q8C23×D7311yescharacteristic
1496C2×Q8C23×D7311yescharacteristic
1497C2×Q8C23×D7311yescharacteristic
1498C2×D4—22no—
1499C2×D4—22no—
1500C2×D4—21no—
1501C2×D4—21no—
1502C2×D4—21no—
1503C2×D4—21no—
1504C2×D4—21no—
1505C2×D4—21no—
1506C2×D4—41no—
1507C2×D4—41no—
1508C2×D4—82no—
1509C2×D4—2921no—
1510C2×D4—2924no—
1511C2×D4—2924no—
1512C2×D4—2924no—
1513C2×D4—2924no—
1514C2×D4—2924no—
1515C2×D4—2924no—
1516C2×D4—2921no—
1517C2×D4—2921no—
1518C2×D4—2921no—
1519C2×D4—2921no—
1520C2×D4—2921no—
1521C2×D4—5842no—
1522C2×D4—5842no—
1523C2×D4—5842no—
1524C2×D4—731no—
1525C2×D4—731no—
1526C2×D4—731no—
1527C2×D4—731no—
1528C2×D4—731no—
1529C2×D4—731no—
1530C2×D4—731no—
1531C2×D4—731no—
1532C2×D4—731no—
1533C2×D4—1462no—
1534C2×D4—1461no—
1535C2×D4—1461no—
1536C2×D4—1461no—
1537C2×D4—1461no—
1538C2×D4—1461no—
1539C2×D4—1461no—
1540C2×D4—1461no—
1541C2×D4—1461no—
1542C2×D4—1461no—
1543C2×D4—1461no—
1544C2×D4—1461no—
1545C2×D4—1462no—
1546C2×D4—1462no—
1547C2×D4—1462no—
1548C2×D4—1461no—
1549C2×D4—1461no—
1550C2×D4—1461no—
1551C2×D4—1461no—
1552C2×D4—1461no—
1553C2×D4—1462no—
1554C2×D4—1461no—
1555C2×D4—1461no—
1556C2×D4—1461no—
1557C2×D4—1462no—
1558C2×D4—1461no—
1559C2×D4D4×D7311yescharacteristic
1560C2×D4C23×D7311yescharacteristic
1561C2×D4C23×D7311yescharacteristic
1562C2×D4C23×D7311yescharacteristic
1563C22×C4—21no—
1564C22×C4—21no—
1565C22×C4—21no—
1566C22×C4—2921no—
1567C22×C4—2921no—
1568C22×C4—731no—
1569C22×C4—731no—
1570C22×C4—731no—
1571C22×C4—731no—
1572C22×C4—731no—
1573C22×C4—731no—
1574C22×C4—1461no—
1575C22×C4—1461no—
1576C22×C4—1461no—
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×C4C23×D7311yescharacteristic
1586C22×C4C23×D7311yescharacteristic
1587Q16—2921no—
1588Q16—2921no—
1589Q16—2921no—
1590SD16—22no—
1591SD16—22no—
1592SD16—22no—
1593SD16—41no—
1594SD16—41no—
1595SD16—41no—
1596SD16—41no—
1597SD16—41no—
1598SD16—41no—
1599SD16—2921no—
1600SD16—2921no—
1601SD16—2921no—
1602SD16—2921no—
1603SD16—1462no—
1604SD16—1462no—
1605SD16—1462no—
1606D8—2921no—
1607D8—2921no—
1608D8—2921no—
1609D8—1462no—
1610D8—1462no—
1611M16—2921no—
1612M16—2921no—
1613M16—2921no—
1614M16—2921no—
1615C2×C8—41no—
1616C2×C8—41no—
1617C2×C8—2921no—
1618C2×C8—2921no—
1619C2×C8—731no—
1620C2×C8—731no—
1621C2×C8—731no—
1622C2×C8—731no—
1623C2×C8C23×D7311yescharacteristic
1624C2×C8C23×D7311yescharacteristic
1625C2×C8C23×D7311yescharacteristic
1626C2×C8C23×D7311yescharacteristic
1627C4⋊C4—21no—
1628C4⋊C4—21no—
1629C4⋊C4—21no—
1630C4⋊C4—21no—
1631C4⋊C4—21no—
1632C4⋊C4—731no—
1633C4⋊C4—731no—
1634C4⋊C4—731no—
1635C4⋊C4—731no—
1636C4⋊C4—731no—
1637C4⋊C4—731no—
1638C4⋊C4—731no—
1639C4⋊C4—731no—
1640C4⋊C4—731no—
1641C4⋊C4—1461no—
1642C4⋊C4—1461no—
1643C4⋊C4—1461no—
1644C4⋊C4—1461no—
1645C4⋊C4—1461no—
1646C4⋊C4—1461no—
1647C4⋊C4—1461no—
1648C4⋊C4—1461no—
1649C4⋊C4—1461no—
1650C4⋊C4—1461no—
1651C4⋊C4—1461no—
1652C4⋊C4—1461no—
1653C4⋊C4—1461no—
1654C4⋊C4—1461no—
1655C4⋊C4—1461no—
1656C4⋊C4—1461no—
1657C4⋊C4D4×D7311yescharacteristic
1658C4⋊C4C23×D7311yescharacteristic
1659C4⋊C4C23×D7311yescharacteristic
1660C22⋊C4—21no—
1661C22⋊C4—21no—
1662C22⋊C4—21no—
1663C22⋊C4—21no—
1664C22⋊C4—21no—
1665C22⋊C4—731no—
1666C22⋊C4—731no—
1667C22⋊C4—731no—
1668C22⋊C4—731no—
1669C22⋊C4—731no—
1670C22⋊C4—731no—
1671C22⋊C4—731no—
1672C22⋊C4—731no—
1673C22⋊C4—1461no—
1674C22⋊C4—1461no—
1675C22⋊C4—1461no—
1676C22⋊C4—1461no—
1677C22⋊C4—1461no—
1678C22⋊C4—1461no—
1679C22⋊C4—1461no—
1680C22⋊C4—1461no—
1681C22⋊C4—1461no—
1682C22⋊C4—1461no—
1683C22⋊C4—1461no—
1684C22⋊C4—1461no—
1685C22⋊C4—1461no—
1686C22⋊C4—1461no—
1687C22⋊C4—1461no—
1688C22⋊C4—1461no—
1689C22⋊C4—1461no—
1690C22⋊C4—1461no—
1691C22⋊C4—1461no—
1692C22⋊C4—1461no—
1693C22⋊C4—1461no—
1694C22⋊C4—1461no—
1695C22⋊C4—1461no—
1696C22⋊C4—1461no—
1697C22⋊C4—1461no—
1698C22⋊C4—1461no—
1699C22⋊C4—1461no—
1700C22⋊C4—1461no—
1701C22⋊C4—1461no—
1702C22⋊C4D4×D7311yescharacteristic
1703C22⋊C4D4×D7311yescharacteristic
1704C42—21no—
1705C42—731no—
1706C42—1461no—
1707C42—1461no—
1708C42—1461no—
1709C42—1461no—
1710C42—1461no—
1711C42C23×D7311yescharacteristic
1712C23—21no—
1713C23—21no—
1714C23—21no—
1715C23—42no—
1716C23—42no—
1717C23—42no—
1718C23—81no—
1719C23—81no—
1720C23—81no—
1721C23—2921no—
1722C23—2921no—
1723C23—2922no—
1724C23—2922no—
1725C23—2922no—
1726C23—2922no—
1727C23—2922no—
1728C23—2922no—
1729C23—2922no—
1730C23—2922no—
1731C23—5841no—
1732C23—5841no—
1733C23—5841no—
1734C23—5841no—
1735C23—5841no—
1736C23—5841no—
1737C23—5841no—
1738C23—5841no—
1739C23—5841no—
1740C23—58416no—
1741C23—731no—
1742C23—731no—
1743C23—731no—
1744C23—1464no—
1745C23—1461no—
1746C23—1461no—
1747C23—1462no—
1748C23—1461no—
1749C23C2×D4×D7311yescharacteristic
1750C23C2×D4×D7311yescharacteristic
1751Q8—21no—
1752Q8—21no—
1753Q8—21no—
1754Q8—21no—
1755Q8—21no—
1756Q8—21no—
1757Q8—81no—
1758Q8—81no—
1759Q8—2921no—
1760Q8—5841no—
1761Q8—1461no—
1762Q8—1461no—
1763D4—22no—
1764D4—21no—
1765D4—21no—
1766D4—21no—
1767D4—21no—
1768D4—21no—
1769D4—42no—
1770D4—42no—
1771D4—42no—
1772D4—81no—
1773D4—81no—
1774D4—81no—
1775D4—2922no—
1776D4—2921no—
1777D4—2921no—
1778D4—2922no—
1779D4—2922no—
1780D4—2922no—
1781D4—2922no—
1782D4—2922no—
1783D4—2922no—
1784D4—2921no—
1785D4—2921no—
1786D4—2921no—
1787D4—2922no—
1788D4—2922no—
1789D4—2922no—
1790D4—5841no—
1791D4—5841no—
1792D4—5841no—
1793D4—5841no—
1794D4—5841no—
1795D4—5841no—
1796D4—5841no—
1797D4—5841no—
1798D4—5841no—
1799D4—732no—
1800D4—1464no—
1801D4—1462no—
1802D4—1461no—
1803D4—1461no—
1804D4—1461no—
1805D4—1461no—
1806D4—1461no—
1807D4#1455663612yes—
1808C2×C4—21no—
1809C2×C4—21no—
1810C2×C4—21no—
1811C2×C4—21no—
1812C2×C4—21no—
1813C2×C4—21no—
1814C2×C4—21no—
1815C2×C4—21no—
1816C2×C4—21no—
1817C2×C4—81no—
1818C2×C4—81no—
1819C2×C4—81no—
1820C2×C4—2922no—
1821C2×C4—2921no—
1822C2×C4—2921no—
1823C2×C4—2922no—
1824C2×C4—2922no—
1825C2×C4—2921no—
1826C2×C4—5841no—
1827C2×C4—5841no—
1828C2×C4—5841no—
1829C2×C4—5841no—
1830C2×C4—5841no—
1831C2×C4—5841no—
1832C2×C4—5841no—
1833C2×C4—5841no—
1834C2×C4—731no—
1835C2×C4—731no—
1836C2×C4—731no—
1837C2×C4—731no—
1838C2×C4—731no—
1839C2×C4—1461no—
1840C2×C4—1461no—
1841C2×C4—1461no—
1842C2×C4—1461no—
1843C2×C4—1461no—
1844C2×C4—1461no—
1845C2×C4—1461no—
1846C2×C4—1461no—
1847C2×C4—1461no—
1848C2×C4—1461no—
1849C2×C4—1461no—
1850C2×C4C2×D4×D7311yescharacteristic
1851C2×C4C2×D4×D7311yescharacteristic
1852C2×C4C2×D4×D7311yescharacteristic
1853C2×C4C2×D4×D7311yescharacteristic
1854C2×C4C24×D7311yescharacteristic
1855C8—21no—
1856C8—21no—
1857C8—21no—
1858C8—21no—
1859C8—1461no—
1860C8—1461no—
1861C8—1461no—
1862C8—1461no—
1863C22—21no—
1864C22—21no—
1865C22—21no—
1866C22—22no—
1867C22—21no—
1868C22—21no—
1869C22—41no—
1870C22—41no—
1871C22—41no—
1872C22—41no—
1873C22—41no—
1874C22—41no—
1875C22—41no—
1876C22—41no—
1877C22—84no—
1878C22—162no—
1879C22—2924no—
1880C22—2921no—
1881C22—2921no—
1882C22—2921no—
1883C22—2921no—
1884C22—2921no—
1885C22—2921no—
1886C22—2921no—
1887C22—2921no—
1888C22—5844no—
1889C22—5844no—
1890C22—5844no—
1891C22—5844no—
1892C22—5844no—
1893C22—11682no—
1894C22—1461no—
1895C22—1461no—
1896C22—1462no—
1897C22—1461no—
1898C22—1461no—
1899C22—1461no—
1900C22—1461no—
1901C22—1461no—
1902C22—1461no—
1903C22—1461no—
1904C22#1798939312yes—
1905C22C22×D4×D7311yescharacteristic
1906C4—21no—
1907C4—21no—
1908C4—21no—
1909C4—21no—
1910C4—41no—
1911C4—41no—
1912C4—41no—
1913C4—41no—
1914C4—41no—
1915C4—2921no—
1916C4—2921no—
1917C4—2921no—
1918C4—2921no—
1919C4—2921no—
1920C4—1461no—
1921C4—1461no—
1922C4—1461no—
1923C4—1461no—
1924C4—1461no—
1925C4H(5,𝔽2)×D7311yescharacteristic
1926C4C2×#1455663611yescharacteristic
1927C2—22no—
1928C2—41no—
1929C2—42no—
1930C2—81no—
1931C2—81no—
1932C2—2921no—
1933C2—2921no—
1934C2—2922no—
1935C2—2921no—
1936C2—5841no—
1937C2—5841no—
1938C2#2262355911yescharacteristic
1939C2C2×#1798939311yescharacteristic
1940C2#2262470911yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingD4×SD16×C73C2
socleC22×C73C23×D4
hypercenterD4×SD16D73
hypocenterC73#61610
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ D4×SD16

Complements

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

NH ≅ G/Ntype
1. #22624229C2semidirect
2. #22623559C2semidirect
3. #22622155C2semidirect
4. #22622152C2semidirect
5. #22622072C2semidirect
6. #22622016C2semidirect
7. #22621973C2semidirect
8. #22621959C2semidirect
9. #22621783C2semidirect
10. #22621750C2semidirect
11. #22621638C2semidirect
12. #22621565C2semidirect
13. #22621530C2semidirect
14. #22621462C2semidirect
15. #22621442C2semidirect
16. #22621426C2semidirect
17. #22621419C2semidirect
18. #22621030C2semidirect
19. #22620996C2semidirect
20. #22620801C2semidirect
21. #22620786C2semidirect
22. #22620758C2semidirect
23. #22620720C2semidirect
24. #22620181C2semidirect
25. #22620121C2semidirect
26. #22619236C2semidirect
27. #22619204C2semidirect
28. #22619159C2semidirect
29. C2×#17988736C2semidirect
30. #22618973C2semidirect
31. D4×SD16×C73C2semidirect
34. C2×#14556622C22semidirect
35. C2×#14556618C22semidirect
36. C2×#14556618C22semidirect
37. C2×#14556618C22semidirect
38. C2×#14556612C22semidirect
39. C22×#11924015C22semidirect
42. #17989308C22semidirect
43. #17989295C22semidirect
46. #17989283C22semidirect
47. #17989278C22semidirect
48. #17989248C22semidirect
49. #17989248C22semidirect
50. #17989240C22semidirect
63. #17989209C22semidirect
64. #17989198C22semidirect
68. #17989167C22semidirect
69. #17989161C22semidirect
74. #17989100C22semidirect
77. C2×#14556567C22semidirect
81. #17988979C22semidirect
82. #17988973C22semidirect
83. #17988968C22semidirect
84. #17988951C22semidirect
85. #17988945C22semidirect
86. #17988942C22semidirect
87. #17988932C22semidirect
88. #17988931C22semidirect
89. #17988927C22semidirect
90. #17988927C22semidirect
91. #17988926C22semidirect
92. #17988923C22semidirect
93. #17988913C22semidirect
94. #17988912C22semidirect
95. #17988910C22semidirect
96. #17988908C22semidirect
97. #17988907C22semidirect
98. #17988903C22semidirect
99. #17988899C22semidirect
100. #17988888C22semidirect
101. #17988887C22semidirect
102. #17988876C22semidirect
103. #17988865C22semidirect
104. #17988844C22semidirect
105. #17988844C22semidirect
106. #17988838C22semidirect
107. #17988836C22semidirect
108. #17988835C22semidirect
109. #17988830C22semidirect
110. #17988830C22semidirect
111. #17988830C22semidirect
112. #17988826C22semidirect
113. #17988823C22semidirect
114. #17988821C22semidirect
115. #17988819C22semidirect
116. #17988816C22semidirect
117. #17988813C22semidirect
118. #17988809C22semidirect
119. #17988807C22semidirect
120. #17988807C22semidirect
121. #17988805C22semidirect
122. #17988804C22semidirect
123. #17988803C22semidirect
124. #17988789C22semidirect
125. #17988785C22semidirect
126. #17988785C22semidirect
127. #17988779C22semidirect
128. #17988752C22semidirect
129. #17988747C22semidirect
130. #17988746C22semidirect
131. #17988746C22semidirect
132. #17988746C22semidirect
133. #17988746C22semidirect
134. #17988746C22semidirect
135. #17988743C22semidirect
136. #17988737C22semidirect
140. #17988736C22semidirect
141. #17988736C22semidirect
142. #17988736C22semidirect
143. #17988736C22semidirect
144. #17988736C22semidirect
145. #17988736C22semidirect
146. #17988736C22semidirect
147. #17988736C22semidirect
148. #17988736C22semidirect
149. #17988735C22semidirect
150. #17988734C22semidirect
151. #17988733C22semidirect
152. #17988731C22semidirect
153. #17988731C22semidirect
154. #17988726C22semidirect
155. #17988723C22semidirect
157. #17988722C22semidirect
158. #17988721C22semidirect
159. #17988721C22semidirect
160. #17988697C22semidirect
161. #17988690C22semidirect
162. #17988688C22semidirect
163. #17988685C22semidirect
164. SD16×Dic73C22semidirect
165. #17988672C22semidirect
166. C4×D584C22semidirect
167. #17988666C22semidirect
168. #17988662C22semidirect
169. #17988659C22semidirect
170. #17988658C22semidirect
171. #17988657C22semidirect
172. #17988655C22semidirect
173. C8×C22⋊D73C22semidirect
174. #17988647C22semidirect
175. #17988646C22semidirect
176. #17988592C22semidirect
177. #17988590C22semidirect
178. #17988590C22semidirect
179. #17988585C22semidirect
180. #17988584C22semidirect
181. C2×#14556513C22semidirect
182. C2×#14556512C22semidirect
183. #102×D73C22semidirect
184. #17988553C22semidirect
185. #17988552C22semidirect
186. #17988549C22semidirect
187. C2×#14556503C22semidirect
188. C22×SD16×C73C22semidirect
189. C22×SD16×C73C22semidirect
190. D4×Q8×C73C22semidirect
192. #492×C73C22semidirect
193. #465×C73C22semidirect
194. #465×C73C22semidirect
195. #461×C73C22semidirect
196. #460×C73C22semidirect
197. #450×C73C22semidirect
198. #450×C73C22semidirect
199. #448×C73C22semidirect
200. #448×C73C22semidirect
201. C4×SD16×C73C22semidirect
202. C8×D4×C73C22semidirect
207. C2×#11924029C23semidirect
236. C2×#11924018C23semidirect
237. C2×#11924018C23semidirect
238. C2×#11924018C23semidirect
239. C2×#11924017C23semidirect
251. C2×#11924013C23semidirect
252. C2×#11924012C23semidirect
255. C2×#11924011C23semidirect
257. C2×C8×D73C23semidirect
258. #14556590C23semidirect
269. #14556583C23semidirect
277. #14556580C23semidirect
315. #14556567C23semidirect
316. #14556567C23semidirect
326. #14556565C23semidirect
360. Q8×Dic73C23semidirect
361. Q8×Dic73C23semidirect
365. C4×D292C23semidirect
380. #14556550C23semidirect
388. C4⋊C4×D73C23semidirect
396. #14556525C23semidirect
397. #14556525C23semidirect
398. #14556524C23semidirect
399. #14556524C23semidirect
400. #14556523C23semidirect
401. #14556522C23semidirect
402. #14556522C23semidirect
403. C4⋊#10596831C23semidirect
404. #14556520C23semidirect
405. #14556520C23semidirect
406. #14556516C23semidirect
407. #14556516C23semidirect
408. #14556516C23semidirect
409. #14556515C23semidirect
410. #14556515C23semidirect
411. #14556515C23semidirect
412. #14556514C23semidirect
419. #14556513C23semidirect
426. #14556512C23semidirect
427. #14556512C23semidirect
428. #14556512C23semidirect
431. #14556511C23semidirect
433. C22⋊#10596831C23semidirect
440. #14556503C23semidirect
441. #14556503C23semidirect
442. #14556502C23semidirect
443. #14556501C23semidirect
444. C8×Dic73C23semidirect
446. C22×Q8×C73C23semidirect
458. C2×SD16×C73C23semidirect
459. C2×SD16×C73C23semidirect
460. C2×SD16×C73C23semidirect
462. C22×C8×C73C23semidirect
464. C4⋊Q8×C73C23semidirect
469. C22⋊Q8×C73C23semidirect
475. C4×Q8×C73C23semidirect
479. #106×C73C23semidirect
480. C4⋊C8×C73C23semidirect
481. #103×C73C23semidirect
482. #103×C73C23semidirect
483. #103×C73C23semidirect
486. #102×C73C23semidirect
488. C22⋊C8×C73C23semidirect
489. C4×C8×C73C23semidirect
982. D4×SD16D73semidirect
1002. C73#61610semidirect
1011. C22×SD16C2×D73semidirect
1012. C22×SD16C2×D73semidirect
1021. D4×Q8C2×D73semidirect
1059. #492C2×D73semidirect
1094. #465C2×D73semidirect
1095. #465C2×D73semidirect
1103. #461C2×D73semidirect
1106. #460C2×D73semidirect
1129. #450C2×D73semidirect
1130. #450C2×D73semidirect
1137. #448C2×D73semidirect
1138. #448C2×D73semidirect
1150. C4×SD16C2×D73semidirect
1159. C8×D4C2×D73semidirect
1185. C22×Q8C22×D73semidirect
1231. C2×SD16C22×D73semidirect
1232. C2×SD16C22×D73semidirect
1233. C2×SD16C22×D73semidirect
1246. C22×C8C22×D73semidirect
1250. C4⋊Q8C22×D73semidirect
1312. C22⋊Q8C22×D73semidirect
1364. C4×Q8C22×D73semidirect
1408. #106C22×D73semidirect
1412. C4⋊C8C22×D73semidirect
1420. #103C22×D73semidirect
1421. #103C22×D73semidirect
1422. #103C22×D73semidirect
1444. #102C22×D73semidirect
1456. C22⋊C8C22×D73semidirect
1460. C4×C8C22×D73semidirect

Maximal subgroups

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

subgroupindex
#226242292
#226235592
#226221552
#226221522
#226220722
#226220162
#226219732
#226219592
#226217832
#226217502
#226216382
#226215652
#226215302
#226214622
#226214422
#226214262
#226214192
#226210302
#226209962
#226208012
#226207862
#226207582
#226207202
#226201812
#226201212
#226192362
#226192042
#226191592
C2×#179887362
#226189732
D4×SD16×C732
#6161073