Finite Group Databasebeta

← #3322×D73 #33962773

Subgroups — #3322×D73 #33962773

Order 18688.

2318 conjugacy classes of subgroups.

The subgroup lattice has 1912 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#553×D73C211yesmaximal, characteristic, complemented
2#546×D73C211yesmaximal, characteristic, complemented
3#22622139C211yesmaximal, characteristic, complemented
4#22622138C211yesmaximal, characteristic, complemented
5#22622137C211yesmaximal, characteristic, complemented
6#22622136C211yesmaximal, characteristic, complemented
7#22622135C211yesmaximal, characteristic, complemented
8#22622134C211yesmaximal, characteristic, complemented
9#22622133C211yesmaximal, characteristic, complemented
10#22622132C211yesmaximal, characteristic, complemented
11#22622131C211yesmaximal, characteristic, complemented
12#22622130C211yesmaximal, characteristic, complemented
13#22622129C211yesmaximal, characteristic, complemented
14#22622128C211yesmaximal, characteristic, complemented
15#22622127C211yesmaximal, characteristic, complemented
16#22622126C211yesmaximal, characteristic, complemented
17#22622125C211yesmaximal, characteristic, complemented
18#488×D73C211yesmaximal, characteristic, complemented
19#485×D73C211yesmaximal, characteristic, complemented
20#480×D73C211yesmaximal, characteristic, complemented
21#478×D73C211yesmaximal, characteristic, complemented
22#469×D73C211yesmaximal, characteristic, complemented
23#468×D73C211yesmaximal, characteristic, complemented
24#463×D73C211yesmaximal, characteristic, complemented
25#449×D73C211yesmaximal, characteristic, complemented
26#447×D73C211yesmaximal, characteristic, complemented
27C4×D8×D73C211yesmaximal, characteristic, complemented
28#436×D73C211yesmaximal, characteristic, complemented
29#417×D73C211yesmaximal, characteristic, complemented
30#418×D73C211yesmaximal, characteristic, complemented
31C73×#3322C211yesmaximal, characteristic, complemented
32C2×#41×D73C2211yescharacteristic
33C22×D4×D73C2211yescharacteristic
34C2×SD16×D73C2211yescharacteristic, complemented
35C2×D8×D73C2211yescharacteristic
36C2×D8×D73C2211yescharacteristic
37C2×M16×D73C2211yescharacteristic
38C2×M16×D73C2211yescharacteristic, complemented
39#17989290C2211yescharacteristic, complemented
40#17989289C2211yescharacteristic, complemented
41#17989288—21no—
42#17989287C2211yescharacteristic, complemented
43#17989286—21no—
44#17989285C2211yescharacteristic, complemented
45#17989284C2211yescharacteristic, complemented
46#17989283C2211yescharacteristic, complemented
47#17989282—21no—
48#17989281C2211yescharacteristic, complemented
49#17989280—21no—
50#17989234C2211yescharacteristic, complemented
51#17989233C2211yescharacteristic, complemented
52#17989232C2211yescharacteristic, complemented
53#17989231C2211yescharacteristic, complemented
54#17989230C2211yescharacteristic, complemented
55#17989229—21no—
56#17989228C2211yescharacteristic, complemented
57#17989227—21no—
58#17989226—21no—
59#17989225C2211yescharacteristic, complemented
60#17989224—21no—
61#126×D73—21no—
62#125×D73C2211yescharacteristic, complemented
63#124×D73C2211yescharacteristic
64#123×D73—21no—
65#123×D73—21no—
66C22⋊Q8×D73C2211yescharacteristic
67#121×D73—21no—
68#121×D73—21no—
69#121×D73C2211yescharacteristic
70#121×D73C2211yescharacteristic
71#121×D73C2211yescharacteristic, complemented
72#120×D73—21no—
73C4×D4×D73—21no—
74C4×D4×D73C2211yescharacteristic
75C4×D4×D73C2211yescharacteristic
76C4×D4×D73C2211yescharacteristic, complemented
77#117×D73C2211yescharacteristic
78C2×C4⋊C4×D73C2211yescharacteristic, complemented
79C2×C22⋊C4×D73—21no—
80#17988944C2211yescharacteristic, complemented
81#17988943C2211yescharacteristic, complemented
82#17988943C2211yescharacteristic, complemented
83#17988942C2211yescharacteristic, complemented
84#17988941C2211yescharacteristic, complemented
85#17988940C2211yescharacteristic, complemented
86#17988940C2211yescharacteristic, complemented
87#17988931C2211yescharacteristic, complemented
88#17988930C2211yescharacteristic, complemented
89#17988929C2211yescharacteristic, complemented
90#17988928C2211yescharacteristic, complemented
91#17988927C2211yescharacteristic, complemented
92#17988926C2211yescharacteristic, complemented
93#17988925C2211yescharacteristic, complemented
94#17988902C2211yescharacteristic, complemented
95#17988902C2211yescharacteristic, complemented
96#17988901C2211yescharacteristic, complemented
97#17988900C2211yescharacteristic, complemented
98#17988899C2211yescharacteristic, complemented
99#17988899C2211yescharacteristic, complemented
100#17988898C2211yescharacteristic, complemented
101#17988890C2211yescharacteristic, complemented
102#17988889C2211yescharacteristic, complemented
103#17988888C2211yescharacteristic, complemented
104#17988887C2211yescharacteristic, complemented
105#17988886C2211yescharacteristic, complemented
106#17988885C2211yescharacteristic, complemented
107#17988884C2211yescharacteristic, complemented
108#17988841C2211yescharacteristic, complemented
109#17988840C2211yescharacteristic, complemented
110#17988839C2211yescharacteristic, complemented
111#17988839C2211yescharacteristic, complemented
112#17988838C2211yescharacteristic, complemented
113#17988838C2211yescharacteristic, complemented
114#17988837C2211yescharacteristic, complemented
115#17988836C2211yescharacteristic, complemented
116#17988835C2211yescharacteristic, complemented
117#17988834C2211yescharacteristic, complemented
118#17988833C2211yescharacteristic, complemented
119#17988832C2211yescharacteristic, complemented
120#17988831C2211yescharacteristic, complemented
121#17988830C2211yescharacteristic, complemented
122#17988805C2211yescharacteristic, complemented
123#17988804C2211yescharacteristic, complemented
124#17988803C2211yescharacteristic, complemented
125#17988802C2211yescharacteristic, complemented
126#17988801C2211yescharacteristic, complemented
127#17988800C2211yescharacteristic, complemented
128#17988799C2211yescharacteristic, complemented
129#17988735C2211yescharacteristic, complemented
130#17988734C2211yescharacteristic, complemented
131#17988733C2211yescharacteristic, complemented
132#17988732C2211yescharacteristic, complemented
133#17988731C2211yescharacteristic, complemented
134#17988730C2211yescharacteristic, complemented
135#17988729C2211yescharacteristic, complemented
136#17988723C2211yescharacteristic, complemented
137#17988722C2211yescharacteristic, complemented
138#17988722C2211yescharacteristic, complemented
139#17988721C2211yescharacteristic, complemented
140#17988720C2211yescharacteristic, complemented
141#17988719C2211yescharacteristic, complemented
142#17988719C2211yescharacteristic, complemented
143C4×D584C2211yescharacteristic, complemented
144D8×Dic73C2211yescharacteristic, complemented
145#17988669C2211yescharacteristic, complemented
146C4×#11924013C2211yescharacteristic, complemented
147C4×#11924013C2211yescharacteristic, complemented
148#17988667C2211yescharacteristic, complemented
149#17988667C2211yescharacteristic, complemented
150#17988666C2211yescharacteristic, complemented
151#17988665C2211yescharacteristic, complemented
152#17988664C2211yescharacteristic, complemented
153#17988663C2211yescharacteristic, complemented
154#17988663C2211yescharacteristic, complemented
155#17988662C2211yescharacteristic, complemented
156#17988662C2211yescharacteristic, complemented
157#107×D73C2211yescharacteristic, complemented
158#107×D73C2211yescharacteristic, complemented
159#106×D73C2211yescharacteristic, complemented
160C4⋊C8×D73C2211yescharacteristic, complemented
161#17988593C2211yescharacteristic, complemented
162#17988592C2211yescharacteristic, complemented
163#17988591C2211yescharacteristic, complemented
164#17988590C2211yescharacteristic, complemented
165#17988590C2211yescharacteristic, complemented
166#17988590C2211yescharacteristic, complemented
167#17988590C2211yescharacteristic, complemented
168#17988589C2211yescharacteristic, complemented
169#17988588C2211yescharacteristic, complemented
170#17988587C2211yescharacteristic, complemented
171#17988587C2211yescharacteristic, complemented
172#17988586C2211yescharacteristic, complemented
173#17988585C2211yescharacteristic, complemented
174#17988585C2211yescharacteristic, complemented
175#103×D73C2211yescharacteristic, complemented
176#103×D73C2211yescharacteristic, complemented
177#103×D73C2211yescharacteristic, complemented
178#102×D73C2211yescharacteristic
179#102×D73C2211yescharacteristic
180#102×D73C2211yescharacteristic
181#102×D73C2211yescharacteristic
182#102×D73C2211yescharacteristic
183#102×D73C2211yescharacteristic
184#102×D73C2211yescharacteristic, complemented
185C22⋊C8×D73C2211yescharacteristic
186C22⋊C8×D73C2211yescharacteristic, complemented
187C4×C8×D73C2211yescharacteristic, complemented
188#553×C73C2211yescharacteristic, complemented
189#546×C73C2211yescharacteristic, complemented
190#488×C73C2211yescharacteristic, complemented
191#485×C73C2211yescharacteristic, complemented
192#480×C73C2211yescharacteristic, complemented
193#478×C73C2211yescharacteristic, complemented
194#469×C73C2211yescharacteristic, complemented
195#468×C73C2211yescharacteristic, complemented
196#463×C73C2211yescharacteristic, complemented
197#449×C73C2211yescharacteristic, complemented
198#447×C73C2211yescharacteristic, complemented
199C4×D8×C73C2211yescharacteristic, complemented
200#436×C73C2211yescharacteristic, complemented
201#418×C73C2211yescharacteristic, complemented
202#417×C73C2211yescharacteristic, complemented
203C24×D73—21no—
204C2×#11924029C2311yescharacteristic
205C2×#11924028—21no—
206C2×#11924028C2311yescharacteristic
207C2×#11924027—21no—
208C2×#11924027C2311yescharacteristic
209#41×D73—24no—
210#41×D73—42no—
211C2×Q8×D73C2311yescharacteristic
212C22×D292C2311yescharacteristic
213C22×C22⋊D73—21no—
214C2×D4×D73—24no—
215C2×D4×D73—21no—
216C2×D4×D73—21no—
217C2×D4×D73—21no—
218C2×D4×D73—21no—
219C2×D4×D73—21no—
220C2×D4×D73—21no—
221C2×D4×D73—42no—
222C2×D4×D73D411yescharacteristic
223C2×D4×D73C2311yescharacteristic
224C2×D4×D73C2311yescharacteristic
225C2×D4×D73C2311yescharacteristic
226C2×D4×D73C2311yescharacteristic
227C2×D4×D73C2311yescharacteristic
228C22×C4×D73—21no—
229C22×C4×D73—21no—
230C22×C4×D73—21no—
231C22×C4×D73—21no—
232C22×C4×D73C2311yescharacteristic
233C22×C4×D73C2311yescharacteristic
234C2×#11924017C2311yescharacteristic, complemented
235C2×#11924016C2311yescharacteristic, complemented
236C2×#11924015C2311yescharacteristic, complemented
237SD16×D73—42no—
238C2×D584C2311yescharacteristic
239C2×D584C2311yescharacteristic
240C2×#11924013C2311yescharacteristic
241C2×#11924013C2311yescharacteristic
242C2×#11924013C2311yescharacteristic
243C2×#11924013C2311yescharacteristic
244D8×D73—24no—
245D8×D73—42no—
246C2×#11924012C2311yescharacteristic
247C2×#11924012C2311yescharacteristic, complemented
248C2×#11924011C2311yescharacteristic
249C2×#11924011C2311yescharacteristic
250C2×#11924011C2311yescharacteristic, complemented
251C2×#11924011C2311yescharacteristic, complemented
252M16×D73—42no—
253M16×D73—42no—
254C2×C8×D73C2311yescharacteristic
255C2×C8×D73C2311yescharacteristic
256C2×C8×D73C2311yescharacteristic
257C2×C8×D73C2311yescharacteristic
258#14556586—21no—
259#14556586—21no—
260#14556586—21no—
261#14556585—21no—
262#14556584—21no—
263#14556584—21no—
264#14556584—21no—
265#14556583C2311yescharacteristic, complemented
266#14556582C2311yescharacteristic, complemented
267#14556582C2311yescharacteristic, complemented
268#14556581—21no—
269#14556581—21no—
270#14556580C2311yescharacteristic
271#14556579C2311yescharacteristic
272#14556578C2311yescharacteristic
273#14556577—21no—
274#14556577—21no—
275#14556576—21no—
276#14556576—21no—
277#14556576—21no—
278#14556576—21no—
279#14556575—21no—
280#14556575—21no—
281#14556574—21no—
282#14556574—21no—
283#14556573—21no—
284#14556573—21no—
285#14556573—21no—
286#14556573—21no—
287#14556572—21no—
288#14556572—21no—
289#14556571C2311yescharacteristic
290#14556570C2311yescharacteristic
291#14556569—21no—
292#14556568—21no—
293#14556567C2311yescharacteristic
294#14556566—21no—
295#14556566—21no—
296#14556566C2311yescharacteristic
297#14556566C2311yescharacteristic
298#14556566C2311yescharacteristic, complemented
299#14556565—21no—
300#14556565—21no—
301#14556565C2311yescharacteristic
302#14556565C2311yescharacteristic
303#14556565C2311yescharacteristic, complemented
304#14556564—21no—
305#14556564—21no—
306#14556564—21no—
307#14556564—21no—
308#14556564—21no—
309#14556564—21no—
310#14556564—21no—
311#14556563—21no—
312#14556563—21no—
313#14556563—21no—
314#14556563—21no—
315#14556563—21no—
316#14556563—21no—
317#14556563—21no—
318#14556562—21no—
319#14556562—21no—
320#14556562C2311yescharacteristic
321#14556562C2311yescharacteristic
322#14556562C2311yescharacteristic, complemented
323#14556561—21no—
324#14556561—21no—
325#14556561—21no—
326#14556560—21no—
327#14556559—21no—
328#14556559—21no—
329#14556559—21no—
330C4×D292—21no—
331C4×D292C2311yescharacteristic
332C4×D292C2311yescharacteristic
333C4×D292C2311yescharacteristic, complemented
334D4×Dic73—21no—
335D4×Dic73D411yescharacteristic
336D4×Dic73C2311yescharacteristic
337D4×Dic73C2311yescharacteristic, complemented
338#14556553—21no—
339#14556553D411yescharacteristic
340#14556553C2311yescharacteristic
341#14556553C2311yescharacteristic, complemented
342C4×C22⋊D73—21no—
343C4×C22⋊D73—21no—
344C4×C22⋊D73—21no—
345C4×C22⋊D73—21no—
346C4×C22⋊D73C2311yescharacteristic
347C4×C22⋊D73C2311yescharacteristic
348#14556551—21no—
349#14556551—21no—
350#14556551—21no—
351#14556551—21no—
352#14556551D411yescharacteristic
353#14556551D411yescharacteristic
354#14556550C2311yescharacteristic
355#14556549C2311yescharacteristic
356#14556549C2311yescharacteristic
357#14556548—21no—
358#14556547—21no—
359C2×C4⋊Dic73C2311yescharacteristic, complemented
360C2×#11924007—21no—
361C4⋊C4×D73—21no—
362C4⋊C4×D73—21no—
363C4⋊C4×D73—21no—
364C4⋊C4×D73—21no—
365C4⋊C4×D73—21no—
366C4⋊C4×D73D411yescharacteristic
367C4⋊C4×D73C2311yescharacteristic
368C4⋊C4×D73C2311yescharacteristic
369C4⋊C4×D73C2311yescharacteristic
370C4⋊C4×D73C2311yescharacteristic
371C4⋊C4×D73C2311yescharacteristic, complemented
372C4⋊C4×D73C2311yescharacteristic, complemented
373C2×C22⋊Dic73—21no—
374C2×#11924005—21no—
375C2×#11924005—21no—
376C22⋊C4×D73—21no—
377C22⋊C4×D73—21no—
378C22⋊C4×D73—21no—
379C22⋊C4×D73—21no—
380C22⋊C4×D73—21no—
381C22⋊C4×D73—21no—
382C22⋊C4×D73—21no—
383C22⋊C4×D73—21no—
384C22⋊C4×D73—21no—
385C22⋊C4×D73—21no—
386C22⋊C4×D73—21no—
387C22⋊C4×D73—21no—
388C22⋊C4×D73—21no—
389C22⋊C4×D73D411yescharacteristic
390C22⋊C4×D73D411yescharacteristic
391C42×D73—21no—
392C42×D73C2311yescharacteristic
393#14556525C2311yescharacteristic, complemented
394#14556525C2311yescharacteristic, complemented
395#14556524C2311yescharacteristic, complemented
396#14556524C2311yescharacteristic, complemented
397#14556524C2311yescharacteristic, complemented
398#14556524C2311yescharacteristic, complemented
399#14556523C2311yescharacteristic, complemented
400#14556522C2311yescharacteristic, complemented
401#14556522C2311yescharacteristic, complemented
402C4⋊#10596831C2311yescharacteristic, complemented
403#14556520C2311yescharacteristic, complemented
404#14556520C2311yescharacteristic, complemented
405#14556516C2311yescharacteristic, complemented
406#14556516C2311yescharacteristic, complemented
407#14556516C2311yescharacteristic, complemented
408#14556515C2311yescharacteristic, complemented
409#14556515C2311yescharacteristic, complemented
410#14556515C2311yescharacteristic, complemented
411#14556514C2311yescharacteristic, complemented
412#14556514C2311yescharacteristic, complemented
413#14556514C2311yescharacteristic, complemented
414#14556513C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556513C2311yescharacteristic, complemented
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556512C2311yescharacteristic
427#14556512C2311yescharacteristic, complemented
428#14556511C2311yescharacteristic
429#14556511C2311yescharacteristic
430#14556511C2311yescharacteristic
431#14556511C2311yescharacteristic
432#14556511C2311yescharacteristic
433#14556511C2311yescharacteristic
434#14556511C2311yescharacteristic, complemented
435C22⋊#10596831C2311yescharacteristic
436C22⋊#10596831C2311yescharacteristic, complemented
437#14556503C2311yescharacteristic
438#14556503C2311yescharacteristic
439#14556503C2311yescharacteristic, complemented
440#14556503C2311yescharacteristic, complemented
441C4×#10596831C2311yescharacteristic, complemented
442C8×Dic73C2311yescharacteristic, complemented
443C8×Dic73C2311yescharacteristic, complemented
444C2×#41×C73C2311yescharacteristic
445C22×D4×C73C2311yescharacteristic
446C2×SD16×C73C2311yescharacteristic, complemented
447C2×D8×C73C2311yescharacteristic
448C2×D8×C73C2311yescharacteristic
449C2×M16×C73C2311yescharacteristic
450C2×M16×C73C2311yescharacteristic, complemented
451#126×C73—21no—
452#125×C73C2311yescharacteristic, complemented
453#124×C73C2311yescharacteristic
454#123×C73—21no—
455#123×C73—21no—
456C22⋊Q8×C73C2311yescharacteristic
457#121×C73—21no—
458#121×C73—21no—
459#121×C73C2311yescharacteristic
460#121×C73C2311yescharacteristic
461#121×C73C2311yescharacteristic, complemented
462#120×C73—21no—
463C4×D4×C73—21no—
464C4×D4×C73C2311yescharacteristic
465C4×D4×C73C2311yescharacteristic
466C4×D4×C73C2311yescharacteristic, complemented
467#117×C73C2311yescharacteristic
468C2×C4⋊C4×C73C2311yescharacteristic, complemented
469C2×C22⋊C4×C73—21no—
470#107×C73C2311yescharacteristic, complemented
471#107×C73C2311yescharacteristic, complemented
472#106×C73C2311yescharacteristic, complemented
473C4⋊C8×C73C2311yescharacteristic, complemented
474#103×C73C2311yescharacteristic, complemented
475#103×C73C2311yescharacteristic, complemented
476#103×C73C2311yescharacteristic, complemented
477#102×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481#102×C73C2311yescharacteristic
482#102×C73C2311yescharacteristic
483#102×C73C2311yescharacteristic, complemented
484C22⋊C8×C73C2311yescharacteristic
485C22⋊C8×C73C2311yescharacteristic, complemented
486C4×C8×C73C2311yescharacteristic, complemented
487C23×D73—21no—
488C23×D73—21no—
489C23×D73—21no—
490C23×D73—21no—
491C23×D73—21no—
492C23×D73—21no—
493C23×D73—44no—
494C23×D73—44no—
495C23×D73—82no—
496C23×D73C2×D411yescharacteristic
497C23×D73C2×D411yescharacteristic
498#11924029—22no—
499#11924029—41no—
500#11924028—22no—
501#11924028—41no—
502#11924028—44no—
503#11924027—22no—
504#11924027—41no—
505#11924027—44no—
506C2×Dic146—21no—
507C2×Dic146C2411yescharacteristic
508Q8×D73—22no—
509Q8×D73—22no—
510C2×D292—22no—
511C2×D292—21no—
512C2×D292—21no—
513C2×D292—21no—
514C2×D292—21no—
515C2×D292—21no—
516C2×D292—41no—
517C2×D292C2×D411yescharacteristic
518C2×D292C2411yescharacteristic
519C2×D292C2411yescharacteristic
520C2×D292C2411yescharacteristic
521C2×C22⋊D73—21no—
522C2×C22⋊D73—21no—
523C2×C22⋊D73—21no—
524C2×C22⋊D73—21no—
525C2×C22⋊D73—21no—
526C2×C22⋊D73—21no—
527C2×C22⋊D73—21no—
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—44no—
535C2×C22⋊D73C2×D411yescharacteristic
536C2×C22⋊D73C2×D411yescharacteristic
537D4×D73—22no—
538D4×D73—22no—
539D4×D73—22no—
540D4×D73—22no—
541D4×D73—22no—
542D4×D73—22no—
543D4×D73—22no—
544D4×D73—41no—
545D4×D73—41no—
546D4×D73—44no—
547D4×D73—42no—
548D4×D73—44no—
549D4×D73—44no—
550D4×D73—44no—
551D4×D73—82no—
552D4×D73—82no—
553D4×D73#4114yes—
554C22×Dic73—21no—
555C22×Dic73—21no—
556C22×Dic73—21no—
557C22×Dic73—21no—
558C22×Dic73C2×D411yescharacteristic
559C22×Dic73C2×D411yescharacteristic
560C2×C4×D73—22no—
561C2×C4×D73—22no—
562C2×C4×D73—22no—
563C2×C4×D73—22no—
564C2×C4×D73—21no—
565C2×C4×D73—21no—
566C2×C4×D73—21no—
567C2×C4×D73—21no—
568C2×C4×D73—21no—
569C2×C4×D73—21no—
570C2×C4×D73—21no—
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—44no—
578C2×C4×D73—82no—
579C2×C4×D73—82no—
580C2×C4×D73—82no—
581C2×C4×D73C2×D411yescharacteristic
582C2×C4×D73C2×D411yescharacteristic
583C2×C4×D73C2×D411yescharacteristic
584C2×C4×D73C2×D411yescharacteristic
585C2×C4×D73C2×D411yescharacteristic
586C2×C4×D73C2×D411yescharacteristic
587C2×C4×D73C2411yescharacteristic
588C2×C4×D73C2411yescharacteristic
589C2×C4×D73C2411yescharacteristic
590#11924017—41no—
591#11924016—41no—
592#11924015—41no—
593D584—22no—
594D584—41no—
595#11924013—22no—
596#11924013—22no—
597#11924013—41no—
598#11924013—41no—
599#11924012—41no—
600#11924012—41no—
601#11924011—41no—
602#11924011—41no—
603#11924011—41no—
604#11924011—41no—
605C2×#10596831C2411yescharacteristic
606C2×#10596831C2411yescharacteristic
607C2×#10596831C2411yescharacteristic
608C2×#10596831C2411yescharacteristic
609C8×D73—22no—
610C8×D73—22no—
611C8×D73—22no—
612C8×D73—22no—
613C4⋊Dic73—21no—
614C4⋊Dic73—21no—
615C4⋊Dic73—21no—
616C4⋊Dic73—21no—
617C4⋊Dic73C2×D411yescharacteristic
618C4⋊Dic73C2411yescharacteristic
619C4⋊Dic73C2411yescharacteristic
620C4⋊Dic73C2411yescharacteristic
621C4⋊Dic73C2411yescharacteristic
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#11924007—21no—
632#11924007—21no—
633#11924007—21no—
634#11924007C2×D411yescharacteristic
635#11924007C2×D411yescharacteristic
636C22⋊Dic73—21no—
637C22⋊Dic73—21no—
638C22⋊Dic73—21no—
639C22⋊Dic73—21no—
640C22⋊Dic73—21no—
641C22⋊Dic73—21no—
642C22⋊Dic73—21no—
643C22⋊Dic73—21no—
644C22⋊Dic73—21no—
645C22⋊Dic73C2×D411yescharacteristic
646C22⋊Dic73C2×D411yescharacteristic
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#11924005C2×D411yescharacteristic
666#11924005C2×D411yescharacteristic
667#11924005C2×D411yescharacteristic
668#11924005C2×D411yescharacteristic
669C4×Dic73—21no—
670C4×Dic73—21no—
671C4×Dic73—21no—
672C4×Dic73C2×D411yescharacteristic
673C4×Dic73C2×D411yescharacteristic
674C4×Dic73C2411yescharacteristic
675C24×C73—21no—
676#41×C73—22no—
677#41×C73—41no—
678C2×Q8×C73C2411yescharacteristic
679C2×D4×C73—22no—
680C2×D4×C73—21no—
681C2×D4×C73—21no—
682C2×D4×C73—21no—
683C2×D4×C73—21no—
684C2×D4×C73—21no—
685C2×D4×C73—41no—
686C2×D4×C73C2×D411yescharacteristic
687C2×D4×C73C2411yescharacteristic
688C2×D4×C73C2411yescharacteristic
689C2×D4×C73C2411yescharacteristic
690C22×C4×C73—21no—
691C22×C4×C73—21no—
692C22×C4×C73—21no—
693C22×C4×C73—21no—
694C22×C4×C73C2411yescharacteristic
695C22×C4×C73C2411yescharacteristic
696SD16×C73—41no—
697D8×C73—22no—
698D8×C73—41no—
699M16×C73—41no—
700M16×C73—41no—
701C2×C8×C73C2411yescharacteristic
702C2×C8×C73C2411yescharacteristic
703C2×C8×C73C2411yescharacteristic
704C2×C8×C73C2411yescharacteristic
705C4⋊C4×C73—21no—
706C4⋊C4×C73—21no—
707C4⋊C4×C73—21no—
708C4⋊C4×C73—21no—
709C4⋊C4×C73C2×D411yescharacteristic
710C4⋊C4×C73C2411yescharacteristic
711C4⋊C4×C73C2411yescharacteristic
712C4⋊C4×C73C2411yescharacteristic
713C4⋊C4×C73C2411yescharacteristic
714C22⋊C4×C73—21no—
715C22⋊C4×C73—21no—
716C22⋊C4×C73—21no—
717C22⋊C4×C73—21no—
718C22⋊C4×C73—21no—
719C22⋊C4×C73—21no—
720C22⋊C4×C73—21no—
721C22⋊C4×C73—21no—
722C22⋊C4×C73—21no—
723C22⋊C4×C73C2×D411yescharacteristic
724C22⋊C4×C73C2×D411yescharacteristic
725C42×C73—21no—
726C42×C73C2411yescharacteristic
727C23×C73—21no—
728C23×C73—21no—
729C23×C73—21no—
730C23×C73—42no—
731C23×C73—42no—
732C23×C73—81no—
733C23×C73C22×D411yescharacteristic
734C23×C73C22×D411yescharacteristic
735C22×D73—21no—
736C22×D73—22no—
737C22×D73—22no—
738C22×D73—24no—
739C22×D73—22no—
740C22×D73—22no—
741C22×D73—22no—
742C22×D73—22no—
743C22×D73—21no—
744C22×D73—21no—
745C22×D73—42no—
746C22×D73—42no—
747C22×D73—42no—
748C22×D73—42no—
749C22×D73—42no—
750C22×D73—42no—
751C22×D73—42no—
752C22×D73—42no—
753C22×D73—42no—
754C22×D73—42no—
755C22×D73—42no—
756C22×D73—42no—
757C22×D73—42no—
758C22×D73—42no—
759C22×D73—81no—
760C22×D73—81no—
761C22×D73—81no—
762C22×D73—816no—
763C22×D73C22×D411yescharacteristic
764C22×D73C22×D411yescharacteristic
765C22×D73C22×D411yescharacteristic
766Q8×C73—21no—
767Q8×C73—21no—
768D4×C73—21no—
769D4×C73—21no—
770D4×C73—21no—
771D4×C73—21no—
772D4×C73—21no—
773D4×C73—41no—
774D4×C73—42no—
775D4×C73—42no—
776D4×C73—42no—
777D4×C73—81no—
778D4×C73—81no—
779D4×C73C2×#4112yes—
780C2×C4×C73—21no—
781C2×C4×C73—21no—
782C2×C4×C73—21no—
783C2×C4×C73—21no—
784C2×C4×C73—21no—
785C2×C4×C73—21no—
786C2×C4×C73—21no—
787C2×C4×C73—21no—
788C2×C4×C73—21no—
789C2×C4×C73—42no—
790C2×C4×C73—81no—
791C2×C4×C73—81no—
792C2×C4×C73—81no—
793C2×C4×C73C22×D411yescharacteristic
794C2×C4×C73C22×D411yescharacteristic
795C2×C4×C73C22×D411yescharacteristic
796C2×C4×C73C22×D411yescharacteristic
797C2×C4×C73C2511yescharacteristic
798C22⋊D73—24no—
799C22⋊D73—41no—
800C22⋊D73—41no—
801C22⋊D73—42no—
802C22⋊D73—42no—
803C22⋊D73—42no—
804C22⋊D73—42no—
805C22⋊D73—42no—
806C22⋊D73—42no—
807C22⋊D73—42no—
808C22⋊D73—42no—
809C22⋊D73—81no—
810C22⋊D73—81no—
811C22⋊D73—81no—
812C22⋊D73—81no—
813C2×Dic73—22no—
814C2×Dic73—22no—
815C2×Dic73—21no—
816C2×Dic73—21no—
817C2×Dic73—21no—
818C2×Dic73—21no—
819C2×Dic73—21no—
820C2×Dic73—42no—
821C2×Dic73—81no—
822C2×Dic73—81no—
823C2×Dic73—81no—
824C2×Dic73C22×D411yescharacteristic
825C2×Dic73C22×D411yescharacteristic
826C2×Dic73C22×D411yescharacteristic
827C2×Dic73C22×D411yescharacteristic
828C2×Dic73C22×D411yescharacteristic
829D292—21no—
830D292—21no—
831D292—21no—
832D292—21no—
833D292—21no—
834D292—41no—
835D292—42no—
836D292—42no—
837D292—42no—
838D292—81no—
839D292—81no—
840D292C2×#4112yes—
841C4×D73—22no—
842C4×D73—22no—
843C4×D73—22no—
844C4×D73—22no—
845C4×D73—21no—
846C4×D73—21no—
847C4×D73—21no—
848C4×D73—21no—
849C4×D73—22no—
850C4×D73—22no—
851C4×D73—42no—
852C4×D73—42no—
853C4×D73—42no—
854C4×D73—42no—
855C4×D73—42no—
856C4×D73—42no—
857C4×D73—42no—
858C4×D73—81no—
859C4×D73—81no—
860C4×D73—81no—
861C4×D73—81no—
862C4×D73—81no—
863C4×D73—81no—
864C4×D73C2×#4112yes—
865C4×D73H(5,𝔽2)12yes—
866Dic146—21no—
867Dic146—21no—
868Dic146—42no—
869C8×C73—21no—
870C8×C73—21no—
871C8×C73—21no—
872C8×C73—21no—
873#10596831—21no—
874#10596831—21no—
875#10596831—21no—
876#10596831—21no—
877C22×C73—21no—
878C22×C73—21no—
879C22×C73—22no—
880C22×C73—21no—
881C22×C73—21no—
882C22×C73—21no—
883C22×C73—21no—
884C22×C73—41no—
885C22×C73—41no—
886C22×C73—41no—
887C22×C73—41no—
888C22×C73—41no—
889C22×C73—41no—
890C22×C73—41no—
891C22×C73—41no—
892C22×C73—84no—
893C22×C73C23×D411yescharacteristic
894C2×D73—21no—
895C2×D73—21no—
896C2×D73—22no—
897C2×D73—21no—
898C2×D73—21no—
899C2×D73—21no—
900C2×D73—21no—
901C2×D73—41no—
902C2×D73—41no—
903C2×D73—44no—
904C2×D73—44no—
905C2×D73—48no—
906C2×D73—41no—
907C2×D73—41no—
908C2×D73—41no—
909C2×D73—41no—
910C2×D73—41no—
911C2×D73—41no—
912C2×D73—84no—
913C2×D73—84no—
914C2×D73—84no—
915C2×D73—84no—
916C2×D73—84no—
917C2×D73#54612yes—
918C2×D73#57512yes—
919C2×D73#57612yes—
920C4×C73—21no—
921C4×C73—21no—
922C4×C73—21no—
923C4×C73—21no—
924C4×C73—41no—
925C4×C73—41no—
926C4×C73—41no—
927C4×C73—41no—
928C4×C73—41no—
929C4×C73C22×#4111yescharacteristic
930C4×C73C2×H(5,𝔽2)11yescharacteristic
931Dic73—21no—
932Dic73—21no—
933Dic73—21no—
934Dic73—21no—
935Dic73—41no—
936Dic73—41no—
937Dic73—41no—
938Dic73—41no—
939Dic73—41no—
940Dic73#54612yes—
941C2×#3322—731nomaximal, Sylow
942C2×C73—41no—
943C2×C73—42no—
944C2×C73—41no—
945C2×C73—81no—
946C2×C73—81no—
947C2×C73C2×#54611yescharacteristic
948C2×C73C2×#57511yescharacteristic
949C2×C73C2×#57611yescharacteristic
950D73—41no—
951D73—41no—
952D73—42no—
953D73—81no—
954D73—81no—
955D73#332214yesdirect product factor
956C2×#553—731no—
957C2×#546—731no—
958#3322—731no—
959#3322—731no—
960#3322—731no—
961#3322—731no—
962#3322—731no—
963#3322—731no—
964#3322—731no—
965#3322—731no—
966#3322—731no—
967#3322—731no—
968#3322—731no—
969#3322—731no—
970#3322—731no—
971#3322—731no—
972#3322—731no—
973#3322D7311yescharacteristic, direct product factor
974C2×#488—731no—
975C2×#485—731no—
976C2×#480—731no—
977C2×#478—731no—
978C2×#469—731no—
979C2×#468—731no—
980C2×#463—731no—
981C2×#449—731no—
982C2×#447—731no—
983C2×C4×D8—731no—
984C2×#436—731no—
985C2×#417—731no—
986C2×#418—731no—
987C73C2×#332211yescharacteristic, complemented, Sylow
988C22×#41—731no—
989C23×D4—731no—
990C22×SD16—731no—
991C22×D8—731no—
992C22×D8—731no—
993C22×M16—731no—
994C22×M16—731no—
995#553—731no—
996#553—731no—
997#553—731no—
998#553—731no—
999#553—731no—
1000#553—731no—
1001#553—731no—
1002#553—1461no—
1003#553—1461no—
1004#553—1461no—
1005#553—1461no—
1006#553C2×D7311yescharacteristic, complemented
1007#546—731no—
1008#546—731no—
1009#546—731no—
1010#546—731no—
1011#546—731no—
1012#546—731no—
1013#546—731no—
1014#546—1461no—
1015#546—1461no—
1016#546—1461no—
1017#546—1461no—
1018#546C2×D7311yescharacteristic, complemented
1019C2×#126—1461no—
1020C2×#125—731no—
1021C2×#124—731no—
1022C2×#123—1461no—
1023C2×#123—1461no—
1024C2×C22⋊Q8—731no—
1025C2×#121—731no—
1026C2×#121—731no—
1027C2×#121—731no—
1028C2×#121—1461no—
1029C2×#121—1461no—
1030C2×#120—1461no—
1031C2×C4×D4—731no—
1032C2×C4×D4—731no—
1033C2×C4×D4—731no—
1034C2×C4×D4—1461no—
1035C2×#117—731no—
1036C22×C4⋊C4—731no—
1037C22×C22⋊C4—1461no—
1038#488—731no—
1039#488—731no—
1040#488—731no—
1041#488—731no—
1042#488—731no—
1043#488—731no—
1044#488—731no—
1045#488C2×D7311yescharacteristic, complemented
1046#485—731no—
1047#485—731no—
1048#485—731no—
1049#485—731no—
1050#485—731no—
1051#485—731no—
1052#485—731no—
1053#485C2×D7311yescharacteristic, complemented
1054#480—731no—
1055#480—731no—
1056#480—731no—
1057#480—731no—
1058#480—731no—
1059#480—731no—
1060#480—731no—
1061#480C2×D7311yescharacteristic, complemented
1062#478—731no—
1063#478—731no—
1064#478—731no—
1065#478—731no—
1066#478—731no—
1067#478—731no—
1068#478—731no—
1069#478C2×D7311yescharacteristic, complemented
1070#469—731no—
1071#469—731no—
1072#469—731no—
1073#469—731no—
1074#469—731no—
1075#469—731no—
1076#469—731no—
1077#469C2×D7311yescharacteristic, complemented
1078#468—731no—
1079#468—731no—
1080#468—731no—
1081#468—731no—
1082#468—731no—
1083#468—731no—
1084#468—731no—
1085#468C2×D7311yescharacteristic, complemented
1086#463—731no—
1087#463—731no—
1088#463—731no—
1089#463—731no—
1090#463—731no—
1091#463—731no—
1092#463—731no—
1093#463C2×D7311yescharacteristic, complemented
1094#449—731no—
1095#449—731no—
1096#449—731no—
1097#449—731no—
1098#449—731no—
1099#449—731no—
1100#449—731no—
1101#449C2×D7311yescharacteristic, complemented
1102#447—731no—
1103#447—731no—
1104#447—731no—
1105#447—731no—
1106#447—731no—
1107#447—731no—
1108#447—731no—
1109#447C2×D7311yescharacteristic, complemented
1110C4×D8—731no—
1111C4×D8—731no—
1112C4×D8—731no—
1113C4×D8—731no—
1114C4×D8—731no—
1115C4×D8—731no—
1116C4×D8—731no—
1117C4×D8C2×D7311yescharacteristic, complemented
1118#436—731no—
1119#436—731no—
1120#436—731no—
1121#436—731no—
1122#436—731no—
1123#436—731no—
1124#436—731no—
1125#436C2×D7311yescharacteristic, complemented
1126C2×#107—731no—
1127C2×#107—731no—
1128C2×#106—731no—
1129C2×C4⋊C8—731no—
1130#418—731no—
1131#418—731no—
1132#418—731no—
1133#418—731no—
1134#418—731no—
1135#418—731no—
1136#418—731no—
1137#418C2×D7311yescharacteristic, complemented
1138#417—731no—
1139#417—731no—
1140#417—731no—
1141#417—731no—
1142#417—731no—
1143#417—731no—
1144#417—731no—
1145#417C2×D7311yescharacteristic, complemented
1146C2×#103—731no—
1147C2×#103—731no—
1148C2×#103—731no—
1149C2×#102—731no—
1150C2×#102—731no—
1151C2×#102—731no—
1152C2×#102—731no—
1153C2×#102—731no—
1154C2×#102—731no—
1155C2×#102—731no—
1156C2×C22⋊C8—731no—
1157C2×C22⋊C8—731no—
1158C2×C4×C8—731no—
1159C25—1461no—
1160C2×#41—2922no—
1161C2×#41—731no—
1162C2×#41—731no—
1163C2×#41—731no—
1164C2×#41—1461no—
1165C2×#41—1464no—
1166C2×#41—1461no—
1167C2×#41C22×D7311yescharacteristic
1168C22×Q8—731no—
1169C22×D4—2922no—
1170C22×D4—731no—
1171C22×D4—731no—
1172C22×D4—731no—
1173C22×D4—731no—
1174C22×D4—731no—
1175C22×D4—731no—
1176C22×D4—731no—
1177C22×D4—1461no—
1178C22×D4—1461no—
1179C22×D4—1461no—
1180C22×D4—1461no—
1181C22×D4—1461no—
1182C22×D4—1464no—
1183C22×D4—1461no—
1184C22×D4—1461no—
1185C22×D4C22×D7311yescharacteristic
1186C23×C4—731no—
1187C23×C4—731no—
1188C23×C4—1461no—
1189C23×C4—1461no—
1190C23×C4—1461no—
1191C23×C4—1461no—
1192C2×SD16—2922no—
1193C2×SD16—731no—
1194C2×SD16—731no—
1195C2×SD16—731no—
1196C2×SD16C22×D7311yescharacteristic, complemented
1197C2×D8—2922no—
1198C2×D8—731no—
1199C2×D8—731no—
1200C2×D8—731no—
1201C2×D8—731no—
1202C2×D8—731no—
1203C2×D8—731no—
1204C2×D8—1464no—
1205C2×D8C22×D7311yescharacteristic
1206C2×D8C22×D7311yescharacteristic
1207C2×M16—2922no—
1208C2×M16—2922no—
1209C2×M16—731no—
1210C2×M16—731no—
1211C2×M16—731no—
1212C2×M16—731no—
1213C2×M16—731no—
1214C2×M16—731no—
1215C2×M16C22×D7311yescharacteristic
1216C2×M16C22×D7311yescharacteristic, complemented
1217C22×C8—731no—
1218C22×C8—731no—
1219C22×C8—731no—
1220C22×C8—731no—
1221#126—21no—
1222#126—1461no—
1223#126—1461no—
1224#126—1461no—
1225#126—1461no—
1226#126—1461no—
1227#126—1461no—
1228#126—1461no—
1229#125—731no—
1230#125—731no—
1231#125—731no—
1232#125—1461no—
1233#125—1461no—
1234#125C22×D7311yescharacteristic, complemented
1235#124—731no—
1236#124—731no—
1237#124—731no—
1238#124—1461no—
1239#124—1461no—
1240#124C22×D7311yescharacteristic
1241#123—21no—
1242#123—21no—
1243#123—1461no—
1244#123—1461no—
1245#123—1461no—
1246#123—1461no—
1247#123—1461no—
1248#123—1461no—
1249#123—1461no—
1250#123—1461no—
1251#123—1461no—
1252#123—1461no—
1253#123—1461no—
1254#123—1461no—
1255#123—1461no—
1256#123—1461no—
1257C22⋊Q8—731no—
1258C22⋊Q8—731no—
1259C22⋊Q8—731no—
1260C22⋊Q8—1461no—
1261C22⋊Q8—1461no—
1262C22⋊Q8C22×D7311yescharacteristic
1263#121—21no—
1264#121—21no—
1265#121—731no—
1266#121—731no—
1267#121—731no—
1268#121—731no—
1269#121—731no—
1270#121—731no—
1271#121—731no—
1272#121—731no—
1273#121—731no—
1274#121—1461no—
1275#121—1461no—
1276#121—1461no—
1277#121—1461no—
1278#121—1461no—
1279#121—1461no—
1280#121—1461no—
1281#121—1461no—
1282#121—1461no—
1283#121—1461no—
1284#121—1461no—
1285#121—1461no—
1286#121—1461no—
1287#121—1461no—
1288#121—1461no—
1289#121—1461no—
1290#121—1461no—
1291#121—1461no—
1292#121—1461no—
1293#121—1461no—
1294#121C22×D7311yescharacteristic
1295#121C22×D7311yescharacteristic
1296#121C22×D7311yescharacteristic, complemented
1297#120—21no—
1298#120—1461no—
1299#120—1461no—
1300#120—1461no—
1301#120—1461no—
1302#120—1461no—
1303#120—1461no—
1304#120—1461no—
1305C4×D4—21no—
1306C4×D4—731no—
1307C4×D4—731no—
1308C4×D4—731no—
1309C4×D4—731no—
1310C4×D4—731no—
1311C4×D4—731no—
1312C4×D4—731no—
1313C4×D4—731no—
1314C4×D4—731no—
1315C4×D4—731no—
1316C4×D4—731no—
1317C4×D4—731no—
1318C4×D4—731no—
1319C4×D4—1461no—
1320C4×D4—1461no—
1321C4×D4—1461no—
1322C4×D4—1461no—
1323C4×D4—1461no—
1324C4×D4—1461no—
1325C4×D4—1461no—
1326C4×D4—1461no—
1327C4×D4—1461no—
1328C4×D4—1461no—
1329C4×D4—1461no—
1330C4×D4C22×D7311yescharacteristic
1331C4×D4C22×D7311yescharacteristic
1332C4×D4C22×D7311yescharacteristic, complemented
1333#117—731no—
1334#117—731no—
1335#117—731no—
1336#117—1461no—
1337#117—1461no—
1338#117C22×D7311yescharacteristic
1339C2×C4⋊C4—731no—
1340C2×C4⋊C4—731no—
1341C2×C4⋊C4—731no—
1342C2×C4⋊C4—731no—
1343C2×C4⋊C4—731no—
1344C2×C4⋊C4—731no—
1345C2×C4⋊C4—731no—
1346C2×C4⋊C4—731no—
1347C2×C4⋊C4—1461no—
1348C2×C4⋊C4—1461no—
1349C2×C4⋊C4—1461no—
1350C2×C4⋊C4—1461no—
1351C2×C4⋊C4—1461no—
1352C2×C4⋊C4—1461no—
1353C2×C4⋊C4C22×D7311yescharacteristic, complemented
1354C2×C22⋊C4—21no—
1355C2×C22⋊C4—731no—
1356C2×C22⋊C4—731no—
1357C2×C22⋊C4—1461no—
1358C2×C22⋊C4—1461no—
1359C2×C22⋊C4—1461no—
1360C2×C22⋊C4—1461no—
1361C2×C22⋊C4—1461no—
1362C2×C22⋊C4—1461no—
1363C2×C22⋊C4—1461no—
1364C2×C22⋊C4—1461no—
1365C2×C22⋊C4—1461no—
1366C2×C22⋊C4—1461no—
1367C2×C22⋊C4—1461no—
1368C2×C22⋊C4—1461no—
1369C2×C22⋊C4—1461no—
1370C2×C22⋊C4—1461no—
1371C2×C22⋊C4—1461no—
1372C2×C22⋊C4—1461no—
1373C2×C42—731no—
1374C2×C42—1461no—
1375#107—731no—
1376#107—731no—
1377#107—731no—
1378#107—731no—
1379#107—731no—
1380#107—731no—
1381#107C22×D7311yescharacteristic, complemented
1382#107C22×D7311yescharacteristic, complemented
1383#106—731no—
1384#106—731no—
1385#106—731no—
1386#106C22×D7311yescharacteristic, complemented
1387C4⋊C8—731no—
1388C4⋊C8—731no—
1389C4⋊C8—731no—
1390C4⋊C8C22×D7311yescharacteristic, complemented
1391#103—731no—
1392#103—731no—
1393#103—731no—
1394#103—731no—
1395#103—731no—
1396#103—731no—
1397#103—731no—
1398#103—731no—
1399#103—731no—
1400#103C22×D7311yescharacteristic, complemented
1401#103C22×D7311yescharacteristic, complemented
1402#103C22×D7311yescharacteristic, complemented
1403#102—731no—
1404#102—731no—
1405#102—731no—
1406#102—731no—
1407#102—731no—
1408#102—731no—
1409#102—731no—
1410#102—731no—
1411#102—731no—
1412#102—731no—
1413#102—731no—
1414#102—731no—
1415#102—731no—
1416#102—731no—
1417#102—731no—
1418#102—731no—
1419#102—731no—
1420#102—731no—
1421#102—731no—
1422#102—731no—
1423#102—731no—
1424#102C22×D7311yescharacteristic
1425#102C22×D7311yescharacteristic
1426#102C22×D7311yescharacteristic
1427#102C22×D7311yescharacteristic
1428#102C22×D7311yescharacteristic
1429#102C22×D7311yescharacteristic
1430#102C22×D7311yescharacteristic, complemented
1431C22⋊C8—731no—
1432C22⋊C8—731no—
1433C22⋊C8—731no—
1434C22⋊C8—731no—
1435C22⋊C8—731no—
1436C22⋊C8—731no—
1437C22⋊C8C22×D7311yescharacteristic
1438C22⋊C8C22×D7311yescharacteristic, complemented
1439C4×C8—731no—
1440C4×C8—731no—
1441C4×C8—731no—
1442C4×C8C22×D7311yescharacteristic, complemented
1443C24—21no—
1444C24—2924no—
1445C24—2924no—
1446C24—5842no—
1447C24—731no—
1448C24—731no—
1449C24—1461no—
1450C24—1461no—
1451C24—1461no—
1452C24—1461no—
1453C24—1461no—
1454C24—1461no—
1455#41—22no—
1456#41—41no—
1457#41—2921no—
1458#41—2924no—
1459#41—2921no—
1460#41—2924no—
1461#41—2921no—
1462#41—1462no—
1463#41—1462no—
1464#41—1462no—
1465C2×Q8—731no—
1466C2×Q8—1461no—
1467C2×Q8—1462no—
1468C2×Q8—1462no—
1469C2×Q8C23×D7311yescharacteristic
1470C2×D4—22no—
1471C2×D4—21no—
1472C2×D4—21no—
1473C2×D4—21no—
1474C2×D4—21no—
1475C2×D4—21no—
1476C2×D4—41no—
1477C2×D4—2921no—
1478C2×D4—2924no—
1479C2×D4—2924no—
1480C2×D4—2921no—
1481C2×D4—2921no—
1482C2×D4—2924no—
1483C2×D4—2922no—
1484C2×D4—2924no—
1485C2×D4—2924no—
1486C2×D4—5842no—
1487C2×D4—5842no—
1488C2×D4—731no—
1489C2×D4—731no—
1490C2×D4—734no—
1491C2×D4—731no—
1492C2×D4—731no—
1493C2×D4—731no—
1494C2×D4—731no—
1495C2×D4—1461no—
1496C2×D4—1461no—
1497C2×D4—1462no—
1498C2×D4—1461no—
1499C2×D4—1461no—
1500C2×D4—1462no—
1501C2×D4—1462no—
1502C2×D4—1462no—
1503C2×D4—1462no—
1504C2×D4—1462no—
1505C2×D4—1461no—
1506C2×D4—1461no—
1507C2×D4—1461no—
1508C2×D4—1461no—
1509C2×D4—1461no—
1510C2×D4—1462no—
1511C2×D4—1461no—
1512C2×D4—1461no—
1513C2×D4—1461no—
1514C2×D4—1461no—
1515C2×D4—1462no—
1516C2×D4—1461no—
1517C2×D4—1461no—
1518C2×D4—1461no—
1519C2×D4—1461no—
1520C2×D4—1461no—
1521C2×D4D4×D7311yescharacteristic
1522C2×D4C23×D7311yescharacteristic
1523C2×D4C23×D7311yescharacteristic
1524C2×D4C23×D7311yescharacteristic
1525C22×C4—21no—
1526C22×C4—21no—
1527C22×C4—21no—
1528C22×C4—21no—
1529C22×C4—2924no—
1530C22×C4—5842no—
1531C22×C4—5842no—
1532C22×C4—5842no—
1533C22×C4—731no—
1534C22×C4—731no—
1535C22×C4—731no—
1536C22×C4—731no—
1537C22×C4—731no—
1538C22×C4—731no—
1539C22×C4—731no—
1540C22×C4—731no—
1541C22×C4—731no—
1542C22×C4—731no—
1543C22×C4—731no—
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—1462no—
1555C22×C4—1462no—
1556C22×C4—1462no—
1557C22×C4—1462no—
1558C22×C4—1461no—
1559C22×C4—1461no—
1560C22×C4—1461no—
1561C22×C4—1461no—
1562C22×C4—1461no—
1563C22×C4—1461no—
1564C22×C4—1461no—
1565C22×C4C23×D7311yescharacteristic
1566C22×C4C23×D7311yescharacteristic
1567SD16—41no—
1568SD16—2921no—
1569SD16—2921no—
1570SD16—2921no—
1571D8—22no—
1572D8—41no—
1573D8—2921no—
1574D8—2921no—
1575D8—2921no—
1576D8—1462no—
1577D8—1462no—
1578D8—1462no—
1579M16—41no—
1580M16—41no—
1581M16—2921no—
1582M16—2921no—
1583M16—2921no—
1584M16—2921no—
1585M16—2921no—
1586M16—2921no—
1587C2×C8—731no—
1588C2×C8—731no—
1589C2×C8—731no—
1590C2×C8—731no—
1591C2×C8—1462no—
1592C2×C8—1462no—
1593C2×C8—1462no—
1594C2×C8—1462no—
1595C2×C8C23×D7311yescharacteristic
1596C2×C8C23×D7311yescharacteristic
1597C2×C8C23×D7311yescharacteristic
1598C2×C8C23×D7311yescharacteristic
1599C4⋊C4—21no—
1600C4⋊C4—21no—
1601C4⋊C4—21no—
1602C4⋊C4—21no—
1603C4⋊C4—731no—
1604C4⋊C4—731no—
1605C4⋊C4—731no—
1606C4⋊C4—731no—
1607C4⋊C4—731no—
1608C4⋊C4—731no—
1609C4⋊C4—731no—
1610C4⋊C4—1461no—
1611C4⋊C4—1461no—
1612C4⋊C4—1461no—
1613C4⋊C4—1461no—
1614C4⋊C4—1461no—
1615C4⋊C4—1461no—
1616C4⋊C4—1461no—
1617C4⋊C4—1461no—
1618C4⋊C4—1461no—
1619C4⋊C4—1461no—
1620C4⋊C4—1461no—
1621C4⋊C4—1461no—
1622C4⋊C4—1461no—
1623C4⋊C4—1461no—
1624C4⋊C4—1461no—
1625C4⋊C4—1461no—
1626C4⋊C4D4×D7311yescharacteristic
1627C4⋊C4C23×D7311yescharacteristic
1628C4⋊C4C23×D7311yescharacteristic
1629C4⋊C4C23×D7311yescharacteristic
1630C4⋊C4C23×D7311yescharacteristic
1631C22⋊C4—21no—
1632C22⋊C4—21no—
1633C22⋊C4—21no—
1634C22⋊C4—21no—
1635C22⋊C4—21no—
1636C22⋊C4—21no—
1637C22⋊C4—21no—
1638C22⋊C4—21no—
1639C22⋊C4—21no—
1640C22⋊C4—731no—
1641C22⋊C4—731no—
1642C22⋊C4—731no—
1643C22⋊C4—731no—
1644C22⋊C4—731no—
1645C22⋊C4—731no—
1646C22⋊C4—1461no—
1647C22⋊C4—1461no—
1648C22⋊C4—1461no—
1649C22⋊C4—1461no—
1650C22⋊C4—1461no—
1651C22⋊C4—1461no—
1652C22⋊C4—1461no—
1653C22⋊C4—1461no—
1654C22⋊C4—1461no—
1655C22⋊C4—1461no—
1656C22⋊C4—1461no—
1657C22⋊C4—1461no—
1658C22⋊C4—1461no—
1659C22⋊C4—1461no—
1660C22⋊C4—1461no—
1661C22⋊C4—1461no—
1662C22⋊C4—1461no—
1663C22⋊C4—1461no—
1664C22⋊C4—1461no—
1665C22⋊C4—1461no—
1666C22⋊C4—1461no—
1667C22⋊C4—1461no—
1668C22⋊C4—1461no—
1669C22⋊C4—1461no—
1670C22⋊C4—1461no—
1671C22⋊C4—1461no—
1672C22⋊C4—1461no—
1673C22⋊C4D4×D7311yescharacteristic
1674C22⋊C4D4×D7311yescharacteristic
1675C42—21no—
1676C42—731no—
1677C42—731no—
1678C42—731no—
1679C42—1461no—
1680C42—1461no—
1681C42—1461no—
1682C42C23×D7311yescharacteristic
1683C23—21no—
1684C23—21no—
1685C23—21no—
1686C23—42no—
1687C23—42no—
1688C23—81no—
1689C23—2922no—
1690C23—2922no—
1691C23—2922no—
1692C23—2922no—
1693C23—2922no—
1694C23—2922no—
1695C23—2922no—
1696C23—2922no—
1697C23—2922no—
1698C23—2922no—
1699C23—2922no—
1700C23—2922no—
1701C23—2922no—
1702C23—2922no—
1703C23—5841no—
1704C23—5841no—
1705C23—5841no—
1706C23—58416no—
1707C23—731no—
1708C23—731no—
1709C23—731no—
1710C23—1464no—
1711C23—1462no—
1712C23—1462no—
1713C23—1462no—
1714C23—1462no—
1715C23—1462no—
1716C23—1462no—
1717C23—1461no—
1718C23—1461no—
1719C23—1461no—
1720C23C2×D4×D7311yescharacteristic
1721C23C2×D4×D7311yescharacteristic
1722Q8—21no—
1723Q8—21no—
1724Q8—2922no—
1725Q8—1461no—
1726Q8—1461no—
1727D4—21no—
1728D4—21no—
1729D4—21no—
1730D4—21no—
1731D4—21no—
1732D4—41no—
1733D4—42no—
1734D4—42no—
1735D4—42no—
1736D4—81no—
1737D4—81no—
1738D4—2922no—
1739D4—2921no—
1740D4—2922no—
1741D4—2922no—
1742D4—2922no—
1743D4—2922no—
1744D4—2922no—
1745D4—2922no—
1746D4—2922no—
1747D4—2922no—
1748D4—2922no—
1749D4—2921no—
1750D4—2921no—
1751D4—2922no—
1752D4—5841no—
1753D4—5841no—
1754D4—5841no—
1755D4—5841no—
1756D4—5841no—
1757D4—5841no—
1758D4—732no—
1759D4—1464no—
1760D4—1461no—
1761D4—1461no—
1762D4—1461no—
1763D4—1461no—
1764D4—1461no—
1765D4#41×D7312yes—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—42no—
1776C2×C4—81no—
1777C2×C4—81no—
1778C2×C4—81no—
1779C2×C4—2922no—
1780C2×C4—2922no—
1781C2×C4—2922no—
1782C2×C4—2922no—
1783C2×C4—2922no—
1784C2×C4—2922no—
1785C2×C4—2922no—
1786C2×C4—2922no—
1787C2×C4—5841no—
1788C2×C4—5841no—
1789C2×C4—5841no—
1790C2×C4—5841no—
1791C2×C4—5841no—
1792C2×C4—5841no—
1793C2×C4—5841no—
1794C2×C4—5841no—
1795C2×C4—5841no—
1796C2×C4—731no—
1797C2×C4—732no—
1798C2×C4—732no—
1799C2×C4—731no—
1800C2×C4—731no—
1801C2×C4—731no—
1802C2×C4—731no—
1803C2×C4—1462no—
1804C2×C4—1462no—
1805C2×C4—1462no—
1806C2×C4—1462no—
1807C2×C4—1462no—
1808C2×C4—1462no—
1809C2×C4—1461no—
1810C2×C4—1461no—
1811C2×C4—1461no—
1812C2×C4—1461no—
1813C2×C4—1461no—
1814C2×C4—1462no—
1815C2×C4—1462no—
1816C2×C4—1461no—
1817C2×C4—1461no—
1818C2×C4—1461no—
1819C2×C4—1461no—
1820C2×C4C2×D4×D7311yescharacteristic
1821C2×C4C2×D4×D7311yescharacteristic
1822C2×C4C2×D4×D7311yescharacteristic
1823C2×C4C2×D4×D7311yescharacteristic
1824C2×C4C24×D7311yescharacteristic
1825C8—21no—
1826C8—21no—
1827C8—21no—
1828C8—21no—
1829C8—1461no—
1830C8—1461no—
1831C8—1461no—
1832C8—1461no—
1833C22—21no—
1834C22—21no—
1835C22—22no—
1836C22—21no—
1837C22—21no—
1838C22—21no—
1839C22—21no—
1840C22—41no—
1841C22—41no—
1842C22—41no—
1843C22—41no—
1844C22—41no—
1845C22—41no—
1846C22—41no—
1847C22—41no—
1848C22—84no—
1849C22—2928no—
1850C22—2924no—
1851C22—2924no—
1852C22—2921no—
1853C22—2921no—
1854C22—2921no—
1855C22—2921no—
1856C22—2921no—
1857C22—2921no—
1858C22—2921no—
1859C22—2921no—
1860C22—5844no—
1861C22—5844no—
1862C22—5844no—
1863C22—5844no—
1864C22—5844no—
1865C22—732no—
1866C22—732no—
1867C22—732no—
1868C22—1462no—
1869C22—1461no—
1870C22—1461no—
1871C22—1461no—
1872C22—1461no—
1873C22—1461no—
1874C22—1461no—
1875C22C22×D4×D7311yescharacteristic
1876C4—21no—
1877C4—21no—
1878C4—21no—
1879C4—21no—
1880C4—41no—
1881C4—41no—
1882C4—41no—
1883C4—41no—
1884C4—41no—
1885C4—2921no—
1886C4—2921no—
1887C4—2921no—
1888C4—2921no—
1889C4—2921no—
1890C4—732no—
1891C4—1461no—
1892C4—1461no—
1893C4—1461no—
1894C4—1461no—
1895C4C2×#41×D7311yescharacteristic
1896C4H(5,𝔽2)×D7311yescharacteristic
1897C2—41no—
1898C2—41no—
1899C2—42no—
1900C2—81no—
1901C2—81no—
1902C2—2922no—
1903C2—2921no—
1904C2—2921no—
1905C2—5841no—
1906C2—5841no—
1907C2—734no—
1908C2#546×D7311yescharacteristic
1909C2#575×D7311yescharacteristic
1910C2#576×D7311yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3322C2
socleC22×C73C23×D4
hypercenter#3322D73
hypocenterC73C2×#3322
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3322

Complements

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

NH ≅ G/Ntype
1. #553×D73C2semidirect
2. #546×D73C2semidirect
3. #22622139C2semidirect
4. #22622138C2semidirect
5. #22622137C2semidirect
6. #22622136C2semidirect
7. #22622135C2semidirect
8. #22622134C2semidirect
9. #22622133C2semidirect
10. #22622132C2semidirect
11. #22622131C2semidirect
12. #22622130C2semidirect
13. #22622129C2semidirect
14. #22622128C2semidirect
15. #22622127C2semidirect
16. #22622126C2semidirect
17. #22622125C2semidirect
18. #488×D73C2semidirect
19. #485×D73C2semidirect
20. #480×D73C2semidirect
21. #478×D73C2semidirect
22. #469×D73C2semidirect
23. #468×D73C2semidirect
24. #463×D73C2semidirect
25. #449×D73C2semidirect
26. #447×D73C2semidirect
27. C4×D8×D73C2semidirect
28. #436×D73C2semidirect
29. #417×D73C2semidirect
30. #418×D73C2semidirect
31. C73×#3322C2semidirect
34. C2×SD16×D73C22semidirect
38. C2×M16×D73C22semidirect
39. #17989290C22semidirect
40. #17989289C22semidirect
42. #17989287C22semidirect
44. #17989285C22semidirect
45. #17989284C22semidirect
46. #17989283C22semidirect
48. #17989281C22semidirect
50. #17989234C22semidirect
51. #17989233C22semidirect
52. #17989232C22semidirect
53. #17989231C22semidirect
54. #17989230C22semidirect
56. #17989228C22semidirect
59. #17989225C22semidirect
62. #125×D73C22semidirect
71. #121×D73C22semidirect
76. C4×D4×D73C22semidirect
78. C2×C4⋊C4×D73C22semidirect
80. #17988944C22semidirect
81. #17988943C22semidirect
82. #17988943C22semidirect
83. #17988942C22semidirect
84. #17988941C22semidirect
85. #17988940C22semidirect
86. #17988940C22semidirect
87. #17988931C22semidirect
88. #17988930C22semidirect
89. #17988929C22semidirect
90. #17988928C22semidirect
91. #17988927C22semidirect
92. #17988926C22semidirect
93. #17988925C22semidirect
94. #17988902C22semidirect
95. #17988902C22semidirect
96. #17988901C22semidirect
97. #17988900C22semidirect
98. #17988899C22semidirect
99. #17988899C22semidirect
100. #17988898C22semidirect
101. #17988890C22semidirect
102. #17988889C22semidirect
103. #17988888C22semidirect
104. #17988887C22semidirect
105. #17988886C22semidirect
106. #17988885C22semidirect
107. #17988884C22semidirect
108. #17988841C22semidirect
109. #17988840C22semidirect
110. #17988839C22semidirect
111. #17988839C22semidirect
112. #17988838C22semidirect
113. #17988838C22semidirect
114. #17988837C22semidirect
115. #17988836C22semidirect
116. #17988835C22semidirect
117. #17988834C22semidirect
118. #17988833C22semidirect
119. #17988832C22semidirect
120. #17988831C22semidirect
121. #17988830C22semidirect
122. #17988805C22semidirect
123. #17988804C22semidirect
124. #17988803C22semidirect
125. #17988802C22semidirect
126. #17988801C22semidirect
127. #17988800C22semidirect
128. #17988799C22semidirect
129. #17988735C22semidirect
130. #17988734C22semidirect
131. #17988733C22semidirect
132. #17988732C22semidirect
133. #17988731C22semidirect
134. #17988730C22semidirect
135. #17988729C22semidirect
136. #17988723C22semidirect
137. #17988722C22semidirect
138. #17988722C22semidirect
139. #17988721C22semidirect
140. #17988720C22semidirect
141. #17988719C22semidirect
142. #17988719C22semidirect
143. C4×D584C22semidirect
144. D8×Dic73C22semidirect
145. #17988669C22semidirect
146. C4×#11924013C22semidirect
147. C4×#11924013C22semidirect
148. #17988667C22semidirect
149. #17988667C22semidirect
150. #17988666C22semidirect
151. #17988665C22semidirect
152. #17988664C22semidirect
153. #17988663C22semidirect
154. #17988663C22semidirect
155. #17988662C22semidirect
156. #17988662C22semidirect
157. #107×D73C22semidirect
158. #107×D73C22semidirect
159. #106×D73C22semidirect
160. C4⋊C8×D73C22semidirect
161. #17988593C22semidirect
162. #17988592C22semidirect
163. #17988591C22semidirect
164. #17988590C22semidirect
165. #17988590C22semidirect
166. #17988590C22semidirect
167. #17988590C22semidirect
168. #17988589C22semidirect
169. #17988588C22semidirect
170. #17988587C22semidirect
171. #17988587C22semidirect
172. #17988586C22semidirect
173. #17988585C22semidirect
174. #17988585C22semidirect
175. #103×D73C22semidirect
176. #103×D73C22semidirect
177. #103×D73C22semidirect
184. #102×D73C22semidirect
186. C22⋊C8×D73C22semidirect
187. C4×C8×D73C22semidirect
188. #553×C73C22semidirect
189. #546×C73C22semidirect
190. #488×C73C22semidirect
191. #485×C73C22semidirect
192. #480×C73C22semidirect
193. #478×C73C22semidirect
194. #469×C73C22semidirect
195. #468×C73C22semidirect
196. #463×C73C22semidirect
197. #449×C73C22semidirect
198. #447×C73C22semidirect
199. C4×D8×C73C22semidirect
200. #436×C73C22semidirect
201. #418×C73C22semidirect
202. #417×C73C22semidirect
234. C2×#11924017C23semidirect
235. C2×#11924016C23semidirect
236. C2×#11924015C23semidirect
247. C2×#11924012C23semidirect
250. C2×#11924011C23semidirect
251. C2×#11924011C23semidirect
265. #14556583C23semidirect
266. #14556582C23semidirect
267. #14556582C23semidirect
298. #14556566C23semidirect
303. #14556565C23semidirect
322. #14556562C23semidirect
333. C4×D292C23semidirect
337. D4×Dic73C23semidirect
341. #14556553C23semidirect
359. C2×C4⋊Dic73C23semidirect
371. C4⋊C4×D73C23semidirect
372. C4⋊C4×D73C23semidirect
393. #14556525C23semidirect
394. #14556525C23semidirect
395. #14556524C23semidirect
396. #14556524C23semidirect
397. #14556524C23semidirect
398. #14556524C23semidirect
399. #14556523C23semidirect
400. #14556522C23semidirect
401. #14556522C23semidirect
402. C4⋊#10596831C23semidirect
403. #14556520C23semidirect
404. #14556520C23semidirect
405. #14556516C23semidirect
406. #14556516C23semidirect
407. #14556516C23semidirect
408. #14556515C23semidirect
409. #14556515C23semidirect
410. #14556515C23semidirect
411. #14556514C23semidirect
412. #14556514C23semidirect
413. #14556514C23semidirect
420. #14556513C23semidirect
427. #14556512C23semidirect
434. #14556511C23semidirect
436. C22⋊#10596831C23semidirect
439. #14556503C23semidirect
440. #14556503C23semidirect
441. C4×#10596831C23semidirect
442. C8×Dic73C23semidirect
443. C8×Dic73C23semidirect
446. C2×SD16×C73C23semidirect
450. C2×M16×C73C23semidirect
452. #125×C73C23semidirect
461. #121×C73C23semidirect
466. C4×D4×C73C23semidirect
468. C2×C4⋊C4×C73C23semidirect
470. #107×C73C23semidirect
471. #107×C73C23semidirect
472. #106×C73C23semidirect
473. C4⋊C8×C73C23semidirect
474. #103×C73C23semidirect
475. #103×C73C23semidirect
476. #103×C73C23semidirect
483. #102×C73C23semidirect
485. C22⋊C8×C73C23semidirect
486. C4×C8×C73C23semidirect
955. D73#3322direct (N × H)
973. #3322D73direct (N × H)
987. C73C2×#3322semidirect
1006. #553C2×D73semidirect
1018. #546C2×D73semidirect
1045. #488C2×D73semidirect
1053. #485C2×D73semidirect
1061. #480C2×D73semidirect
1069. #478C2×D73semidirect
1077. #469C2×D73semidirect
1085. #468C2×D73semidirect
1093. #463C2×D73semidirect
1101. #449C2×D73semidirect
1109. #447C2×D73semidirect
1117. C4×D8C2×D73semidirect
1125. #436C2×D73semidirect
1137. #418C2×D73semidirect
1145. #417C2×D73semidirect
1196. C2×SD16C22×D73semidirect
1216. C2×M16C22×D73semidirect
1234. #125C22×D73semidirect
1296. #121C22×D73semidirect
1332. C4×D4C22×D73semidirect
1353. C2×C4⋊C4C22×D73semidirect
1381. #107C22×D73semidirect
1382. #107C22×D73semidirect
1386. #106C22×D73semidirect
1390. C4⋊C8C22×D73semidirect
1400. #103C22×D73semidirect
1401. #103C22×D73semidirect
1402. #103C22×D73semidirect
1430. #102C22×D73semidirect
1438. C22⋊C8C22×D73semidirect
1442. C4×C8C22×D73semidirect

Maximal subgroups

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

subgroupindex
#553×D732
#546×D732
#226221392
#226221382
#226221372
#226221362
#226221352
#226221342
#226221332
#226221322
#226221312
#226221302
#226221292
#226221282
#226221272
#226221262
#226221252
#488×D732
#485×D732
#480×D732
#478×D732
#469×D732
#468×D732
#463×D732
#449×D732
#447×D732
C4×D8×D732
#436×D732
#417×D732
#418×D732
C73×#33222
C2×#332273