Finite Group Databasebeta

← #33972056

Subgroups — #33972056

Order 18688.

2282 conjugacy classes of subgroups.

The subgroup lattice has 1974 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624159C211yesmaximal, characteristic, complemented
2#22623559C211yesmaximal, characteristic, complemented
3#22622008C211yesmaximal, characteristic, complemented
4#22622006C211yesmaximal, characteristic, complemented
5#22621895C211yesmaximal, characteristic, complemented
6#22621889C211yesmaximal, characteristic, complemented
7#22621753C211yesmaximal, characteristic, complemented
8#22621743C211yesmaximal, characteristic, complemented
9#22621740C211yesmaximal, characteristic, complemented
10#22621645C211yesmaximal, characteristic, complemented
11#22621640C211yesmaximal, characteristic, complemented
12#22621618C211yesmaximal, characteristic, complemented
13#22621609C211yesmaximal, characteristic, complemented
14#22621424C211yesmaximal, characteristic, complemented
15#22621421C211yesmaximal, characteristic, complemented
16#22621408C211yesmaximal, characteristic, complemented
17#22621407C211yesmaximal, characteristic, complemented
18#22621030C211yesmaximal, characteristic, complemented
19#22621028C211yesmaximal, characteristic, complemented
20#22620788C211yesmaximal, characteristic, complemented
21#22620786C211yesmaximal, characteristic, complemented
22#22620707C211yesmaximal, characteristic, complemented
23#22620695C211yesmaximal, characteristic, complemented
24#22620121C211yesmaximal, characteristic, complemented
25#22620120C211yesmaximal, characteristic, complemented
26#22619240C211yesmaximal, characteristic, complemented
27#22619236C211yesmaximal, characteristic, complemented
28#450×D73C211yesmaximal, characteristic, complemented
29C2×#17988722C211yesmaximal, characteristic, complemented
30#22618984C211yesmaximal, characteristic, complemented
31C73×#3295C211yesmaximal, characteristic, complemented
32C2×#14556636C2211yescharacteristic, complemented
33C22×D4×D73C2211yescharacteristic
34C2×#14556618C2211yescharacteristic, complemented
35C2×#14556617C2211yescharacteristic, complemented
36C2×#14556613C2211yescharacteristic, complemented
37C2×#14556612C2211yescharacteristic, complemented
38C2×SD16×D73C2211yescharacteristic, complemented
39C2×SD16×D73C2211yescharacteristic, complemented
40C22×D584C2211yescharacteristic, complemented
41C22×#11924013C2211yescharacteristic, complemented
42#17989335—21no—
43#17989333—21no—
44#17989292C2211yescharacteristic, complemented
45#17989249C2211yescharacteristic, complemented
46#17989247C2211yescharacteristic, complemented
47#17989240C2211yescharacteristic, complemented
48#17989238C2211yescharacteristic, complemented
49#17989234C2211yescharacteristic, complemented
50#17989233—21no—
51#17989233C2211yescharacteristic
52#17989233C2211yescharacteristic, complemented
53#17989232C2211yescharacteristic, complemented
54#17989231C2211yescharacteristic
55#17989228—21no—
56#17989228C2211yescharacteristic, complemented
57#17989226—21no—
58#17989224—21no—
59#17989222C2211yescharacteristic, complemented
60#17989221C2211yescharacteristic
61D4×C22⋊D73—21no—
62D4×C22⋊D73C2211yescharacteristic, complemented
63#17989219—21no—
64#17989212—21no—
65#17989211C2211yescharacteristic, complemented
66#17989209C2211yescharacteristic, complemented
67#17989185—21no—
68#17989170—21no—
69#17989168C2211yescharacteristic, complemented
70#17989167—21no—
71#17989167C2211yescharacteristic, complemented
72#17989153C2211yescharacteristic, complemented
73#17989150C2211yescharacteristic, complemented
74#17989147—21no—
75#17989145—21no—
76#17989097C2211yescharacteristic
77#17989096C2211yescharacteristic
78C22⋊Q8×D73C2211yescharacteristic, complemented
79C2×#14556566C2211yescharacteristic, complemented
80C2×#14556559—21no—
81#120×D73—21no—
82#17989059C2211yescharacteristic, complemented
83#17988974C2211yescharacteristic, complemented
84#17988973C2211yescharacteristic, complemented
85#17988971C2211yescharacteristic, complemented
86#17988968C2211yescharacteristic, complemented
87#17988949C2211yescharacteristic, complemented
88#17988945C2211yescharacteristic, complemented
89#17988932C2211yescharacteristic, complemented
90#17988931C2211yescharacteristic, complemented
91#17988927C2211yescharacteristic, complemented
92#17988922C2211yescharacteristic, complemented
93#17988919C2211yescharacteristic, complemented
94#17988913C2211yescharacteristic, complemented
95#17988913C2211yescharacteristic, complemented
96#17988907C2211yescharacteristic, complemented
97#17988900C2211yescharacteristic, complemented
98#17988899C2211yescharacteristic, complemented
99#17988899C2211yescharacteristic, complemented
100#17988876C2211yescharacteristic, complemented
101#17988865C2211yescharacteristic, complemented
102#17988864C2211yescharacteristic, complemented
103#17988841C2211yescharacteristic, complemented
104#17988838C2211yescharacteristic, complemented
105#17988835C2211yescharacteristic, complemented
106#17988832C2211yescharacteristic, complemented
107#17988828C2211yescharacteristic, complemented
108#17988826C2211yescharacteristic, complemented
109#17988823C2211yescharacteristic, complemented
110#17988822C2211yescharacteristic, complemented
111#17988822C2211yescharacteristic, complemented
112#17988822C2211yescharacteristic, complemented
113#17988817C2211yescharacteristic, complemented
114#17988817C2211yescharacteristic, complemented
115#17988817C2211yescharacteristic, complemented
116#17988814C2211yescharacteristic, complemented
117#17988809C2211yescharacteristic, complemented
118#17988808C2211yescharacteristic, complemented
119#17988805C2211yescharacteristic, complemented
120#17988804C2211yescharacteristic, complemented
121#17988803C2211yescharacteristic, complemented
122#17988803C2211yescharacteristic, complemented
123#17988802C2211yescharacteristic, complemented
124#17988801C2211yescharacteristic, complemented
125#17988786C2211yescharacteristic, complemented
126#17988781C2211yescharacteristic, complemented
127#17988779C2211yescharacteristic, complemented
128#17988750C2211yescharacteristic, complemented
129#17988750C2211yescharacteristic, complemented
130#17988747C2211yescharacteristic, complemented
131#17988746C2211yescharacteristic, complemented
132#17988744C2211yescharacteristic, complemented
133#17988740C2211yescharacteristic, complemented
134#17988740C2211yescharacteristic, complemented
135#17988739C2211yescharacteristic, complemented
136#17988739C2211yescharacteristic, complemented
137#17988739C2211yescharacteristic, complemented
138#17988738C2211yescharacteristic, complemented
139#17988737C2211yescharacteristic, complemented
140#17988736C2211yescharacteristic, complemented
141#17988736C2211yescharacteristic, complemented
142#17988735C2211yescharacteristic, complemented
143#17988734C2211yescharacteristic, complemented
144#17988734C2211yescharacteristic, complemented
145#17988733C2211yescharacteristic, complemented
146#17988733C2211yescharacteristic, complemented
147#17988733C2211yescharacteristic, complemented
148#17988731C2211yescharacteristic, complemented
149#17988730C2211yescharacteristic, complemented
150#17988724C2211yescharacteristic, complemented
151#17988722C2211yescharacteristic
152#17988722C2211yescharacteristic
153#17988722C2211yescharacteristic, complemented
154#17988722C2211yescharacteristic, complemented
155#17988722C2211yescharacteristic, complemented
156#17988722C2211yescharacteristic, complemented
157#17988722C2211yescharacteristic, complemented
158#17988722C2211yescharacteristic, complemented
159#17988722C2211yescharacteristic, complemented
160#17988721C2211yescharacteristic, complemented
161#17988720C2211yescharacteristic, complemented
162#17988698C2211yescharacteristic, complemented
163#17988697C2211yescharacteristic, complemented
164#17988685C2211yescharacteristic, complemented
165#17988684C2211yescharacteristic, complemented
166#17988674C2211yescharacteristic, complemented
167C4×D584C2211yescharacteristic, complemented
168#17988667C2211yescharacteristic, complemented
169#17988661C2211yescharacteristic, complemented
170#17988659C2211yescharacteristic, complemented
171#17988658C2211yescharacteristic, complemented
172#17988657C2211yescharacteristic, complemented
173C8×D292C2211yescharacteristic, complemented
174C8×C22⋊D73C2211yescharacteristic, complemented
175#17988650C2211yescharacteristic, complemented
176#17988647C2211yescharacteristic, complemented
177#17988646C2211yescharacteristic, complemented
178#17988586C2211yescharacteristic, complemented
179#17988585C2211yescharacteristic, complemented
180C2×#14556511C2211yescharacteristic, complemented
181#102×D73C2211yescharacteristic, complemented
182#102×D73C2211yescharacteristic, complemented
183#102×D73C2211yescharacteristic, complemented
184#17988553C2211yescharacteristic, complemented
185#17988552C2211yescharacteristic, complemented
186C2×#14556503C2211yescharacteristic, complemented
187C22⋊C8×D73C2211yescharacteristic, complemented
188#554×C73C2211yescharacteristic, complemented
189D42×C73C2211yescharacteristic
190#486×C73C2211yescharacteristic, complemented
191#481×C73C2211yescharacteristic, complemented
192#481×C73C2211yescharacteristic, complemented
193#476×C73C2211yescharacteristic, complemented
194#465×C73C2211yescharacteristic, complemented
195#465×C73C2211yescharacteristic, complemented
196#460×C73C2211yescharacteristic, complemented
197#450×C73C2211yescharacteristic, complemented
198#450×C73C2211yescharacteristic, complemented
199C4×SD16×C73C2211yescharacteristic, complemented
200C8×D4×C73C2211yescharacteristic, complemented
201C2×#102×C73C2211yescharacteristic, complemented
202C2×#102×C73C2211yescharacteristic, complemented
203C24×D73—21no—
204#14556636—42no—
205#14556636—42no—
206C2×#11924029—21no—
207C2×#11924029C2311yescharacteristic, complemented
208C2×#11924028—21no—
209C2×#11924028C2311yescharacteristic
210C2×#11924028C2311yescharacteristic
211C2×#11924028C2311yescharacteristic, complemented
212C2×#11924027—21no—
213C2×#11924027C2311yescharacteristic
214C2×#11924027C2311yescharacteristic
215C2×Q8×D73C2311yescharacteristic
216C22×D292—21no—
217C22×D292C2311yescharacteristic
218C22×D292C2311yescharacteristic
219C22×C22⋊D73—21no—
220C22×C22⋊D73—21no—
221C22×C22⋊D73—21no—
222C22×C22⋊D73—21no—
223C2×D4×D73—21no—
224C2×D4×D73—21no—
225C2×D4×D73—21no—
226C2×D4×D73—21no—
227C2×D4×D73—21no—
228C2×D4×D73—42no—
229C2×D4×D73—42no—
230C2×D4×D73C2311yescharacteristic
231C2×D4×D73C2311yescharacteristic
232C2×D4×D73C2311yescharacteristic
233C2×D4×D73C2311yescharacteristic
234C2×D4×D73C2311yescharacteristic
235C22×C4×D73C2311yescharacteristic
236#14556618—42no—
237#14556617—42no—
238#14556613—42no—
239#14556612—42no—
240C2×Dic292C2311yescharacteristic, complemented
241C2×#11924018C2311yescharacteristic, complemented
242C2×#11924017C2311yescharacteristic
243C2×#11924017C2311yescharacteristic
244C2×#11924017C2311yescharacteristic, complemented
245C2×#11924017C2311yescharacteristic, complemented
246C2×#11924016C2311yescharacteristic
247C2×#11924016C2311yescharacteristic
248C2×#11924016C2311yescharacteristic, complemented
249C2×#11924015C2311yescharacteristic
250C2×#11924015C2311yescharacteristic
251SD16×D73—42no—
252SD16×D73—42no—
253C2×D584—42no—
254C2×D584C2311yescharacteristic
255C2×D584C2311yescharacteristic
256C2×D584C2311yescharacteristic
257C2×D584C2311yescharacteristic
258C2×#11924013—42no—
259C2×#11924013C2311yescharacteristic
260C2×#11924013C2311yescharacteristic
261C2×#11924013C2311yescharacteristic
262C2×#11924013C2311yescharacteristic
263C2×#11924013C2311yescharacteristic, complemented
264C2×#11924013C2311yescharacteristic, complemented
265C2×#11924012C2311yescharacteristic, complemented
266C2×#11924011C2311yescharacteristic, complemented
267C22×#10596831C2311yescharacteristic
268C2×C8×D73C2311yescharacteristic
269C2×C8×D73C2311yescharacteristic
270C2×C8×D73C2311yescharacteristic, complemented
271#14556590C2311yescharacteristic, complemented
272#14556587—21no—
273#14556587C2311yescharacteristic
274#14556586—21no—
275#14556585—21no—
276#14556581—21no—
277#14556580—21no—
278#14556580C2311yescharacteristic, complemented
279#14556579—21no—
280#14556579—21no—
281#14556579C2311yescharacteristic
282#14556579C2311yescharacteristic, complemented
283#14556578C2311yescharacteristic
284#14556577—21no—
285#14556577—21no—
286#14556576—21no—
287#14556576—21no—
288#14556576—21no—
289#14556576—21no—
290#14556576—21no—
291#14556576—21no—
292#14556576—21no—
293#14556576—21no—
294#14556576D411yescharacteristic
295#14556575—21no—
296#14556574—21no—
297#14556573—21no—
298#14556573—21no—
299#14556573D411yescharacteristic
300#14556572—21no—
301#14556571—21no—
302#14556571—21no—
303#14556571C2311yescharacteristic
304#14556571C2311yescharacteristic
305#14556571C2311yescharacteristic, complemented
306#14556570—21no—
307#14556570C2311yescharacteristic
308#14556570C2311yescharacteristic
309#14556569—21no—
310#14556569—21no—
311#14556569—21no—
312#14556569—21no—
313#14556569—21no—
314#14556569—21no—
315#14556569D411yescharacteristic
316#14556568—21no—
317#14556568D411yescharacteristic
318#14556567—21no—
319#14556567—21no—
320#14556567C2311yescharacteristic
321#14556566—21no—
322#14556566—21no—
323#14556566—21no—
324#14556566—21no—
325#14556566—21no—
326#14556566—21no—
327#14556566C2311yescharacteristic
328#14556566C2311yescharacteristic
329#14556566C2311yescharacteristic
330#14556566C2311yescharacteristic
331#14556566C2311yescharacteristic
332#14556566C2311yescharacteristic, complemented
333#14556565—21no—
334#14556565—21no—
335#14556565—21no—
336#14556565C2311yescharacteristic
337#14556565C2311yescharacteristic, complemented
338#14556564—21no—
339#14556564—21no—
340#14556564—21no—
341#14556564—21no—
342#14556564—21no—
343#14556564—21no—
344#14556564D411yescharacteristic
345#14556563—21no—
346#14556563—21no—
347#14556563—21no—
348#14556563—21no—
349#14556563D411yescharacteristic
350#14556562—21no—
351#14556562—21no—
352#14556562C2311yescharacteristic
353#14556562C2311yescharacteristic
354#14556561—21no—
355#14556561—21no—
356#14556561—21no—
357#14556561—21no—
358#14556561D411yescharacteristic
359#14556560—21no—
360#14556560—21no—
361#14556559—21no—
362#14556559—21no—
363#14556559—21no—
364#14556559—21no—
365#14556559—21no—
366#14556559—21no—
367#14556559—21no—
368#14556559—21no—
369#14556559—21no—
370#14556559—21no—
371#14556559—21no—
372#14556559D411yescharacteristic
373#14556556C2311yescharacteristic, complemented
374C4×D292—21no—
375C4×D292C2311yescharacteristic
376C4×D292C2311yescharacteristic
377C4×D292C2311yescharacteristic, complemented
378D4×Dic73—21no—
379D4×Dic73C2311yescharacteristic
380#14556553—21no—
381#14556553C2311yescharacteristic
382#14556553C2311yescharacteristic, complemented
383C4×C22⋊D73—21no—
384C4×C22⋊D73—21no—
385C4×C22⋊D73C2311yescharacteristic
386C4×C22⋊D73C2311yescharacteristic
387#14556551—21no—
388#14556551—21no—
389#14556549C2311yescharacteristic
390#14556548C2311yescharacteristic
391C4⋊C4×D73—21no—
392C4⋊C4×D73C2311yescharacteristic
393C4⋊C4×D73C2311yescharacteristic, complemented
394C2×C22⋊Dic73—21no—
395C2×#11924005—21no—
396C2×#11924005—21no—
397C2×#11924005—21no—
398C22⋊C4×D73—21no—
399C22⋊C4×D73—21no—
400C22⋊C4×D73—21no—
401C22⋊C4×D73—21no—
402C22⋊C4×D73—21no—
403C22⋊C4×D73—21no—
404#14556525C2311yescharacteristic, complemented
405#14556524C2311yescharacteristic, complemented
406#14556524C2311yescharacteristic, complemented
407#14556524C2311yescharacteristic, complemented
408#14556522C2311yescharacteristic, complemented
409C4⋊#10596831C2311yescharacteristic, complemented
410#14556520C2311yescharacteristic, complemented
411#14556520C2311yescharacteristic, complemented
412#14556516C2311yescharacteristic, complemented
413#14556516C2311yescharacteristic, complemented
414#14556515C2311yescharacteristic, complemented
415#14556514C2311yescharacteristic, complemented
416#14556514C2311yescharacteristic, complemented
417#14556514C2311yescharacteristic, complemented
418#14556514C2311yescharacteristic, complemented
419#14556513C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556513C2311yescharacteristic, complemented
422#14556513C2311yescharacteristic, complemented
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556512C2311yescharacteristic, complemented
426#14556511C2311yescharacteristic
427#14556511C2311yescharacteristic
428#14556511C2311yescharacteristic
429#14556511C2311yescharacteristic
430#14556511C2311yescharacteristic
431#14556511C2311yescharacteristic
432#14556511C2311yescharacteristic, complemented
433#14556511C2311yescharacteristic, complemented
434C22⋊#10596831C2311yescharacteristic
435C22⋊#10596831C2311yescharacteristic, complemented
436#14556503C2311yescharacteristic
437#14556503C2311yescharacteristic
438#14556503C2311yescharacteristic
439#14556503C2311yescharacteristic
440#14556503C2311yescharacteristic
441#14556503C2311yescharacteristic
442#14556503C2311yescharacteristic, complemented
443#14556503C2311yescharacteristic, complemented
444#14556502C2311yescharacteristic, complemented
445#14556501C2311yescharacteristic, complemented
446C8×Dic73C2311yescharacteristic, complemented
447C22×D4×C73—21no—
448C22×D4×C73C2311yescharacteristic
449C22×D4×C73C2311yescharacteristic
450C2×SD16×C73C2311yescharacteristic
451C2×SD16×C73C2311yescharacteristic
452C2×SD16×C73C2311yescharacteristic, complemented
453C22×C8×C73C2311yescharacteristic
454C22×C8×C73C2311yescharacteristic, complemented
455C4⋊Q8×C73C2311yescharacteristic, complemented
456#127×C73C2311yescharacteristic
457#125×C73—21no—
458C22⋊Q8×C73—21no—
459C22⋊Q8×C73—21no—
460C22⋊Q8×C73C2311yescharacteristic
461C22⋊Q8×C73C2311yescharacteristic, complemented
462#121×C73—21no—
463#121×C73C2311yescharacteristic
464#121×C73C2311yescharacteristic
465#120×C73—21no—
466#120×C73—21no—
467C4×Q8×C73C2311yescharacteristic, complemented
468C4×D4×C73—21no—
469C4×D4×C73C2311yescharacteristic
470C4×D4×C73C2311yescharacteristic
471C2×C4⋊C4×C73C2311yescharacteristic
472C2×C4⋊C4×C73C2311yescharacteristic, complemented
473#106×C73C2311yescharacteristic, complemented
474#106×C73C2311yescharacteristic, complemented
475#106×C73C2311yescharacteristic, complemented
476C4⋊C8×C73C2311yescharacteristic, complemented
477#103×C73C2311yescharacteristic, complemented
478#102×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481#102×C73C2311yescharacteristic
482#102×C73C2311yescharacteristic
483#102×C73C2311yescharacteristic
484#102×C73C2311yescharacteristic, complemented
485#102×C73C2311yescharacteristic, complemented
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—21no—
497C23×D73—44no—
498C23×D73—82no—
499C23×D73—82no—
500C23×D73C2×D411yescharacteristic
501#11924029—41no—
502#11924029—41no—
503#11924029—82no—
504#11924028—22no—
505#11924028—41no—
506#11924028—41no—
507#11924028—41no—
508#11924028—41no—
509#11924028—41no—
510#11924028—82no—
511#11924027—22no—
512#11924027—41no—
513#11924027—41no—
514#11924027—41no—
515#11924027—44no—
516C2×Dic146—21no—
517C2×Dic146—21no—
518C2×Dic146C2×D411yescharacteristic
519C2×Dic146C2411yescharacteristic
520C2×Dic146C2411yescharacteristic
521Q8×D73—41no—
522Q8×D73—41no—
523C2×D292—22no—
524C2×D292—21no—
525C2×D292—21no—
526C2×D292—21no—
527C2×D292—21no—
528C2×D292—21no—
529C2×D292—21no—
530C2×D292—21no—
531C2×D292—21no—
532C2×D292—21no—
533C2×D292—41no—
534C2×D292—41no—
535C2×D292—41no—
536C2×D292—82no—
537C2×D292C2×D411yescharacteristic
538C2×D292C2×D411yescharacteristic
539C2×D292C2411yescharacteristic
540C2×D292C2411yescharacteristic
541C2×D292C2411yescharacteristic
542C2×D292C2411yescharacteristic
543C2×C22⋊D73—21no—
544C2×C22⋊D73—21no—
545C2×C22⋊D73—21no—
546C2×C22⋊D73—21no—
547C2×C22⋊D73—21no—
548C2×C22⋊D73—21no—
549C2×C22⋊D73—21no—
550C2×C22⋊D73—21no—
551C2×C22⋊D73—21no—
552C2×C22⋊D73—21no—
553C2×C22⋊D73—21no—
554C2×C22⋊D73—21no—
555C2×C22⋊D73—21no—
556C2×C22⋊D73—21no—
557C2×C22⋊D73—21no—
558C2×C22⋊D73—44no—
559C2×C22⋊D73—44no—
560C2×C22⋊D73—44no—
561C2×C22⋊D73—82no—
562C2×C22⋊D73C2×D411yescharacteristic
563C2×C22⋊D73C2×D411yescharacteristic
564C2×C22⋊D73C2×D411yescharacteristic
565C2×C22⋊D73C2×D411yescharacteristic
566D4×D73—22no—
567D4×D73—22no—
568D4×D73—22no—
569D4×D73—22no—
570D4×D73—22no—
571D4×D73—41no—
572D4×D73—41no—
573D4×D73—41no—
574D4×D73—41no—
575D4×D73—41no—
576D4×D73—44no—
577D4×D73—44no—
578D4×D73—44no—
579D4×D73—82no—
580D4×D73—82no—
581C22×Dic73—21no—
582C22×Dic73—21no—
583C22×Dic73—21no—
584C22×Dic73C2×D411yescharacteristic
585C2×C4×D73—21no—
586C2×C4×D73—21no—
587C2×C4×D73—21no—
588C2×C4×D73—21no—
589C2×C4×D73—21no—
590C2×C4×D73—21no—
591C2×C4×D73—21no—
592C2×C4×D73—21no—
593C2×C4×D73—21no—
594C2×C4×D73—21no—
595C2×C4×D73—41no—
596C2×C4×D73—41no—
597C2×C4×D73C2×D411yescharacteristic
598C2×C4×D73C2×D411yescharacteristic
599C2×C4×D73C2411yescharacteristic
600C2×C4×D73C2411yescharacteristic
601C2×C4×D73C2411yescharacteristic
602Dic292—41no—
603#11924018—41no—
604#11924017—22no—
605#11924017—41no—
606#11924017—41no—
607#11924017—41no—
608#11924016—22no—
609#11924016—41no—
610#11924016—41no—
611#11924015—22no—
612#11924015—41no—
613D584—22no—
614D584—22no—
615D584—41no—
616D584—41no—
617#11924013—22no—
618#11924013—22no—
619#11924013—41no—
620#11924013—41no—
621#11924013—41no—
622#11924013—41no—
623#11924012—41no—
624#11924011—41no—
625C2×#10596831—41no—
626C2×#10596831C2411yescharacteristic
627C2×#10596831C2411yescharacteristic
628C2×#10596831C2411yescharacteristic
629C2×#10596831C2411yescharacteristic
630C8×D73—41no—
631C8×D73—41no—
632C8×D73—41no—
633C4⋊Dic73—21no—
634C4⋊Dic73—21no—
635C4⋊Dic73—21no—
636C4⋊Dic73C2×D411yescharacteristic
637C4⋊Dic73C2411yescharacteristic
638C4⋊Dic73C2411yescharacteristic
639#11924007—21no—
640#11924007—21no—
641#11924007—21no—
642#11924007—21no—
643#11924007—21no—
644#11924007—21no—
645#11924007—21no—
646#11924007C2×D411yescharacteristic
647#11924007C2×D411yescharacteristic
648#11924007C2×D411yescharacteristic
649#11924007C2×D411yescharacteristic
650C22⋊Dic73—21no—
651C22⋊Dic73—21no—
652C22⋊Dic73—21no—
653C22⋊Dic73—21no—
654C22⋊Dic73—21no—
655C22⋊Dic73—21no—
656C22⋊Dic73—21no—
657C22⋊Dic73C2×D411yescharacteristic
658C22⋊Dic73C2×D411yescharacteristic
659#11924005—21no—
660#11924005—21no—
661#11924005—21no—
662#11924005—21no—
663#11924005—21no—
664#11924005—21no—
665#11924005—21no—
666#11924005—21no—
667#11924005—21no—
668#11924005—21no—
669#11924005—21no—
670#11924005—21no—
671#11924005—21no—
672#11924005—21no—
673#11924005—21no—
674#11924005—21no—
675#11924005—21no—
676#11924005—21no—
677#11924005—21no—
678#11924005—21no—
679#11924005—21no—
680#11924005—21no—
681#11924005—21no—
682#11924005C2×D411yescharacteristic
683#11924005C2×D411yescharacteristic
684#11924005C2×D411yescharacteristic
685#11924005C2×D411yescharacteristic
686#11924005C2×D411yescharacteristic
687#11924005C2×D411yescharacteristic
688C4×Dic73—21no—
689C4×Dic73—21no—
690C4×Dic73C2411yescharacteristic
691C24×C73—21no—
692C24×C73—21no—
693C2×Q8×C73—21no—
694C2×Q8×C73C2411yescharacteristic
695C2×D4×C73—22no—
696C2×D4×C73—22no—
697C2×D4×C73—21no—
698C2×D4×C73—21no—
699C2×D4×C73—21no—
700C2×D4×C73—21no—
701C2×D4×C73—21no—
702C2×D4×C73—21no—
703C2×D4×C73—41no—
704C2×D4×C73—41no—
705C2×D4×C73—82no—
706C2×D4×C73C2×D411yescharacteristic
707C2×D4×C73C2411yescharacteristic
708C2×D4×C73C2411yescharacteristic
709C2×D4×C73C2411yescharacteristic
710C22×C4×C73—21no—
711C22×C4×C73—21no—
712C22×C4×C73—21no—
713C22×C4×C73C2411yescharacteristic
714C22×C4×C73C2411yescharacteristic
715SD16×C73—22no—
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×C73—21no—
730C4⋊C4×C73C2×D411yescharacteristic
731C4⋊C4×C73C2411yescharacteristic
732C4⋊C4×C73C2411yescharacteristic
733C4⋊C4×C73C2411yescharacteristic
734C4⋊C4×C73C2411yescharacteristic
735C22⋊C4×C73—21no—
736C22⋊C4×C73—21no—
737C22⋊C4×C73—21no—
738C22⋊C4×C73—21no—
739C22⋊C4×C73—21no—
740C22⋊C4×C73C2×D411yescharacteristic
741C22⋊C4×C73C2×D411yescharacteristic
742C42×C73—21no—
743C42×C73C2411yescharacteristic
744C23×C73—21no—
745C23×C73—21no—
746C23×C73—21no—
747C23×C73—42no—
748C23×C73—42no—
749C23×C73—42no—
750C23×C73—81no—
751C23×C73—81no—
752C23×C73—81no—
753C23×C73C22×D411yescharacteristic
754C23×C73C22×D411yescharacteristic
755C22×D73—22no—
756C22×D73—21no—
757C22×D73—24no—
758C22×D73—22no—
759C22×D73—21no—
760C22×D73—21no—
761C22×D73—21no—
762C22×D73—41no—
763C22×D73—42no—
764C22×D73—42no—
765C22×D73—42no—
766C22×D73—42no—
767C22×D73—42no—
768C22×D73—42no—
769C22×D73—42no—
770C22×D73—42no—
771C22×D73—42no—
772C22×D73—81no—
773C22×D73—81no—
774C22×D73—81no—
775C22×D73—81no—
776C22×D73—81no—
777C22×D73—81no—
778C22×D73—81no—
779C22×D73—81no—
780C22×D73—81no—
781C22×D73—81no—
782C22×D73—81no—
783C22×D73—816no—
784C22×D73C22×D411yescharacteristic
785C22×D73C22×D411yescharacteristic
786C22×D73C22×D411yescharacteristic
787Q8×C73—21no—
788Q8×C73—21no—
789Q8×C73—81no—
790D4×C73—22no—
791D4×C73—21no—
792D4×C73—21no—
793D4×C73—21no—
794D4×C73—21no—
795D4×C73—21no—
796D4×C73—42no—
797D4×C73—42no—
798D4×C73—42no—
799D4×C73—81no—
800D4×C73—81no—
801D4×C73—81no—
802D4×C73H(5,𝔽2)12yes—
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—21no—
811C2×C4×C73—21no—
812C2×C4×C73—81no—
813C2×C4×C73—81no—
814C2×C4×C73—81no—
815C2×C4×C73C22×D411yescharacteristic
816C2×C4×C73C22×D411yescharacteristic
817C2×C4×C73C22×D411yescharacteristic
818C2×C4×C73C22×D411yescharacteristic
819C2×C4×C73C2511yescharacteristic
820C22⋊D73—24no—
821C22⋊D73—22no—
822C22⋊D73—22no—
823C22⋊D73—41no—
824C22⋊D73—41no—
825C22⋊D73—42no—
826C22⋊D73—42no—
827C22⋊D73—42no—
828C22⋊D73—42no—
829C22⋊D73—42no—
830C22⋊D73—42no—
831C22⋊D73—42no—
832C22⋊D73—42no—
833C22⋊D73—81no—
834C22⋊D73—81no—
835C22⋊D73—81no—
836C22⋊D73—81no—
837C22⋊D73—81no—
838C22⋊D73—81no—
839C2×Dic73—21no—
840C2×Dic73—21no—
841C2×Dic73—21no—
842C2×Dic73—21no—
843C2×Dic73—41no—
844C2×Dic73—42no—
845C2×Dic73—42no—
846C2×Dic73—81no—
847C2×Dic73C22×D411yescharacteristic
848C2×Dic73C22×D411yescharacteristic
849C2×Dic73C22×D411yescharacteristic
850C2×Dic73C22×D411yescharacteristic
851C2×Dic73C22×D411yescharacteristic
852D292—22no—
853D292—21no—
854D292—21no—
855D292—21no—
856D292—21no—
857D292—21no—
858D292—21no—
859D292—21no—
860D292—41no—
861D292—42no—
862D292—42no—
863D292—42no—
864D292—81no—
865D292—81no—
866D292—81no—
867D292—81no—
868D292—81no—
869D292—81no—
870D292H(5,𝔽2)12yes—
871C4×D73—21no—
872C4×D73—21no—
873C4×D73—21no—
874C4×D73—21no—
875C4×D73—21no—
876C4×D73—21no—
877C4×D73—41no—
878C4×D73—41no—
879C4×D73—42no—
880C4×D73—42no—
881C4×D73—81no—
882C4×D73—81no—
883C4×D73—81no—
884C4×D73—81no—
885C4×D73—81no—
886C4×D73—81no—
887C4×D73—81no—
888C4×D73—81no—
889Dic146—21no—
890Dic146—21no—
891Dic146—21no—
892Dic146—21no—
893Dic146—41no—
894Dic146—81no—
895Dic146—81no—
896C8×C73—21no—
897C8×C73—21no—
898C8×C73—21no—
899C8×C73—21no—
900#10596831—21no—
901#10596831—21no—
902#10596831—21no—
903#10596831—21no—
904C22×C73—21no—
905C22×C73—21no—
906C22×C73—22no—
907C22×C73—21no—
908C22×C73—21no—
909C22×C73—21no—
910C22×C73—41no—
911C22×C73—41no—
912C22×C73—41no—
913C22×C73—41no—
914C22×C73—41no—
915C22×C73—41no—
916C22×C73—41no—
917C22×C73—41no—
918C22×C73—84no—
919C22×C73—162no—
920C22×C73#57712yes—
921C22×C73C23×D411yescharacteristic
922C2×D73—21no—
923C2×D73—21no—
924C2×D73—21no—
925C2×D73—21no—
926C2×D73—22no—
927C2×D73—21no—
928C2×D73—21no—
929C2×D73—21no—
930C2×D73—21no—
931C2×D73—44no—
932C2×D73—41no—
933C2×D73—41no—
934C2×D73—41no—
935C2×D73—41no—
936C2×D73—41no—
937C2×D73—41no—
938C2×D73—41no—
939C2×D73—41no—
940C2×D73—41no—
941C2×D73—41no—
942C2×D73—41no—
943C2×D73—84no—
944C2×D73—84no—
945C2×D73—84no—
946C2×D73—84no—
947C2×D73—84no—
948C2×D73—162no—
949C2×D73—162no—
950C2×D73#57612yes—
951C4×C73—21no—
952C4×C73—21no—
953C4×C73—21no—
954C4×C73—21no—
955C4×C73—41no—
956C4×C73—41no—
957C4×C73—41no—
958C4×C73—41no—
959C4×C73—41no—
960C4×C73C2×H(5,𝔽2)11yescharacteristic
961C4×C73C2×H(5,𝔽2)11yescharacteristic
962Dic73—21no—
963Dic73—21no—
964Dic73—21no—
965Dic73—21no—
966Dic73—21no—
967Dic73—41no—
968Dic73—41no—
969Dic73—41no—
970Dic73—41no—
971#61629—731nomaximal, Sylow
972C2×C73—22no—
973C2×C73—42no—
974C2×C73—41no—
975C2×C73—81no—
976C2×C73—81no—
977C2×C73#348411yescharacteristic
978C2×C73C2×#57611yescharacteristic
979C2×C73C2×#57711yescharacteristic
980D73—22no—
981D73—41no—
982D73—41no—
983D73—42no—
984D73—81no—
985D73—81no—
986D73—81no—
987#3536—731no—
988#3484—731no—
989#3314—731no—
990#3314—731no—
991#3306—731no—
992#3306—731no—
993#3295—731no—
994#3295D7311yescharacteristic, complemented
995#3294—731no—
996#3294—731no—
997#3282—731no—
998#3282—731no—
999#3280—731no—
1000#3280—731no—
1001#3265—731no—
1002#3265—731no—
1003#3264—731no—
1004#3264—731no—
1005#3224—731no—
1006#3224—731no—
1007#3198—731no—
1008#3198—731no—
1009#3190—731no—
1010#3188—731no—
1011#3118—731no—
1012#3118—731no—
1013#3012—731no—
1014#3012—731no—
1015C2×#450—731no—
1016C2×#447—731no—
1017#2977—731no—
1018C73#6162911yescharacteristic, complemented, Sylow
1019C2×H(5,𝔽2)—731no—
1020C23×D4—731no—
1021C2×AGL(1,ℤ/8)—731no—
1022C2×AGL(1,ℤ/8)—731no—
1023C2×#135—731no—
1024C2×#135—731no—
1025C22×SD16—731no—
1026C22×SD16—731no—
1027C22×D8—731no—
1028C22×D8—731no—
1029#562—1461no—
1030#562—1461no—
1031#554—731no—
1032#554C2×D7311yescharacteristic, complemented
1033#548—731no—
1034#548—731no—
1035#547—731no—
1036#547—731no—
1037#546—731no—
1038#546—731no—
1039#546—731no—
1040#546—731no—
1041#546—731no—
1042#546—731no—
1043#546—1461no—
1044#546—1461no—
1045#546—1461no—
1046#546—1461no—
1047D42—731no—
1048D42—731no—
1049D42—731no—
1050D42—1461no—
1051D42—1461no—
1052D42C2×D7311yescharacteristic
1053#543—1461no—
1054#542—731no—
1055#542—731no—
1056#539—1461no—
1057#538—1461no—
1058#537—731no—
1059#537—731no—
1060#537—1461no—
1061#535—731no—
1062#535—731no—
1063#534—1461no—
1064#534—1461no—
1065#525—731no—
1066#525—731no—
1067C2×C22⋊Q8—731no—
1068C2×#121—731no—
1069C2×#120—1461no—
1070C2×#120—1461no—
1071#518—731no—
1072#496—731no—
1073#496—731no—
1074#495—731no—
1075#495—731no—
1076#489—731no—
1077#489—731no—
1078#486—731no—
1079#486C2×D7311yescharacteristic, complemented
1080#485—731no—
1081#485—731no—
1082#484—731no—
1083#483—731no—
1084#482—731no—
1085#482—731no—
1086#481—731no—
1087#481C2×D7311yescharacteristic, complemented
1088#481C2×D7311yescharacteristic, complemented
1089#480—731no—
1090#480—731no—
1091#480—731no—
1092#476—731no—
1093#476C2×D7311yescharacteristic, complemented
1094#474—731no—
1095#474—731no—
1096#469—731no—
1097#469—731no—
1098#468—731no—
1099#468—731no—
1100#467—731no—
1101#467—731no—
1102#466—731no—
1103#466—731no—
1104#466—731no—
1105#466—731no—
1106#465—731no—
1107#465—731no—
1108#465—731no—
1109#465—731no—
1110#465C2×D7311yescharacteristic, complemented
1111#465C2×D7311yescharacteristic, complemented
1112#464—731no—
1113#464—731no—
1114#463—731no—
1115#463—731no—
1116#463—731no—
1117#463—731no—
1118#463—731no—
1119#463—731no—
1120#460—731no—
1121#460C2×D7311yescharacteristic, complemented
1122#459—731no—
1123#459—731no—
1124#452—731no—
1125#452—731no—
1126#452—731no—
1127#452—731no—
1128#451—731no—
1129#450—731no—
1130#450—731no—
1131#450—731no—
1132#450—731no—
1133#450—731no—
1134#450—731no—
1135#450—731no—
1136#450—731no—
1137#450—731no—
1138#450C2×D7311yescharacteristic, complemented
1139#450C2×D7311yescharacteristic, complemented
1140#449—731no—
1141#449—731no—
1142#449—731no—
1143#449—731no—
1144#449—731no—
1145#449—731no—
1146#449—731no—
1147#449—731no—
1148#448—731no—
1149#447—731no—
1150#447—731no—
1151#447—731no—
1152#447—731no—
1153#447—731no—
1154#447—731no—
1155#447—731no—
1156#447—731no—
1157#447—731no—
1158#447—731no—
1159#447—731no—
1160#442—731no—
1161#442—731no—
1162#440—731no—
1163#440—731no—
1164C4×SD16—731no—
1165C4×SD16C2×D7311yescharacteristic, complemented
1166C4×D8—731no—
1167C4×D8—731no—
1168#435—731no—
1169#435—731no—
1170#435—731no—
1171#435—731no—
1172C8×D4—731no—
1173C8×D4—731no—
1174C8×D4—731no—
1175C8×D4C2×D7311yescharacteristic, complemented
1176#433—731no—
1177#433—731no—
1178#417—731no—
1179#417—731no—
1180C2×#102—731no—
1181C2×#102—731no—
1182C2×#102—731no—
1183C2×#102—731no—
1184C2×#102C2×D7311yescharacteristic, complemented
1185C2×#102C2×D7311yescharacteristic, complemented
1186#408—731no—
1187#408—731no—
1188C2×C22⋊C8—731no—
1189C2×C22⋊C8—731no—
1190C25—1461no—
1191H(5,𝔽2)—2922no—
1192H(5,𝔽2)—2922no—
1193C2×#41—731no—
1194C2×#41—731no—
1195C2×#41—731no—
1196C2×#41—731no—
1197C2×#41—731no—
1198C2×#41—731no—
1199C2×#41—1461no—
1200C2×#41—1461no—
1201C2×#41—1461no—
1202C22×Q8—731no—
1203C22×D4—21no—
1204C22×D4—2922no—
1205C22×D4—2922no—
1206C22×D4—731no—
1207C22×D4—731no—
1208C22×D4—731no—
1209C22×D4—731no—
1210C22×D4—731no—
1211C22×D4—731no—
1212C22×D4—731no—
1213C22×D4—1461no—
1214C22×D4—1461no—
1215C22×D4—1461no—
1216C22×D4—1461no—
1217C22×D4—1461no—
1218C22×D4—1461no—
1219C22×D4—1461no—
1220C22×D4—1461no—
1221C22×D4—1461no—
1222C22×D4—1461no—
1223C22×D4C22×D7311yescharacteristic
1224C22×D4C22×D7311yescharacteristic
1225C23×C4—731no—
1226AGL(1,ℤ/8)—2922no—
1227AGL(1,ℤ/8)—2922no—
1228#135—2922no—
1229#135—2922no—
1230C2×Q16—731no—
1231C2×Q16—731no—
1232C2×SD16—2922no—
1233C2×SD16—2922no—
1234C2×SD16—731no—
1235C2×SD16—731no—
1236C2×SD16—731no—
1237C2×SD16—731no—
1238C2×SD16—731no—
1239C2×SD16—731no—
1240C2×SD16—731no—
1241C2×SD16—731no—
1242C2×SD16—731no—
1243C2×SD16C22×D7311yescharacteristic
1244C2×SD16C22×D7311yescharacteristic
1245C2×SD16C22×D7311yescharacteristic, complemented
1246C2×D8—2922no—
1247C2×D8—2922no—
1248C2×D8—731no—
1249C2×D8—731no—
1250C2×D8—731no—
1251C2×D8—731no—
1252C2×D8—731no—
1253C2×D8—731no—
1254C2×D8—731no—
1255C2×D8—731no—
1256C2×D8—731no—
1257C2×D8—731no—
1258C2×M16—731no—
1259C2×M16—731no—
1260C22×C8—731no—
1261C22×C8—731no—
1262C22×C8—731no—
1263C22×C8—731no—
1264C22×C8C22×D7311yescharacteristic
1265C22×C8C22×D7311yescharacteristic, complemented
1266C4⋊Q8—731no—
1267C4⋊Q8C22×D7311yescharacteristic, complemented
1268#127—731no—
1269#127—1461no—
1270#127C22×D7311yescharacteristic
1271#126—1461no—
1272#126—1461no—
1273#125—21no—
1274#125—1461no—
1275#124—731no—
1276#124—731no—
1277#124—731no—
1278#124—731no—
1279#124—1461no—
1280#124—1461no—
1281#124—1461no—
1282#124—1461no—
1283#124—1461no—
1284#123—731no—
1285#123—731no—
1286#123—1461no—
1287#123—1461no—
1288#123—1461no—
1289#123—1461no—
1290#123—1461no—
1291#123—1461no—
1292#123—1461no—
1293#123—1461no—
1294#123—1461no—
1295#123—1461no—
1296#123—1461no—
1297#123—1461no—
1298#123—1461no—
1299C22⋊Q8—21no—
1300C22⋊Q8—21no—
1301C22⋊Q8—731no—
1302C22⋊Q8—731no—
1303C22⋊Q8—731no—
1304C22⋊Q8—731no—
1305C22⋊Q8—731no—
1306C22⋊Q8—731no—
1307C22⋊Q8—731no—
1308C22⋊Q8—731no—
1309C22⋊Q8—1461no—
1310C22⋊Q8—1461no—
1311C22⋊Q8—1461no—
1312C22⋊Q8—1461no—
1313C22⋊Q8—1461no—
1314C22⋊Q8—1461no—
1315C22⋊Q8—1461no—
1316C22⋊Q8—1461no—
1317C22⋊Q8—1461no—
1318C22⋊Q8—1461no—
1319C22⋊Q8—1461no—
1320C22⋊Q8—1461no—
1321C22⋊Q8C22×D7311yescharacteristic
1322C22⋊Q8C22×D7311yescharacteristic, complemented
1323#121—21no—
1324#121—731no—
1325#121—731no—
1326#121—731no—
1327#121—731no—
1328#121—731no—
1329#121—731no—
1330#121—731no—
1331#121—731no—
1332#121—731no—
1333#121—731no—
1334#121—731no—
1335#121—731no—
1336#121—1461no—
1337#121—1461no—
1338#121—1461no—
1339#121—1461no—
1340#121—1461no—
1341#121—1461no—
1342#121—1461no—
1343#121—1461no—
1344#121—1461no—
1345#121—1461no—
1346#121—1461no—
1347#121—1461no—
1348#121—1461no—
1349#121—1461no—
1350#121—1461no—
1351#121—1461no—
1352#121—1461no—
1353#121—1461no—
1354#121—1461no—
1355#121—1461no—
1356#121—1461no—
1357#121C22×D7311yescharacteristic
1358#121C22×D7311yescharacteristic
1359#120—21no—
1360#120—21no—
1361#120—731no—
1362#120—731no—
1363#120—1461no—
1364#120—1461no—
1365#120—1461no—
1366#120—1461no—
1367#120—1461no—
1368#120—1461no—
1369#120—1461no—
1370#120—1461no—
1371#120—1461no—
1372#120—1461no—
1373#120—1461no—
1374#120—1461no—
1375#120—1461no—
1376#120—1461no—
1377#120—1461no—
1378#120—1461no—
1379#120—1461no—
1380C4×Q8—731no—
1381C4×Q8C22×D7311yescharacteristic, complemented
1382C4×D4—21no—
1383C4×D4—731no—
1384C4×D4—731no—
1385C4×D4—731no—
1386C4×D4—731no—
1387C4×D4—731no—
1388C4×D4—731no—
1389C4×D4—731no—
1390C4×D4—731no—
1391C4×D4—1461no—
1392C4×D4—1461no—
1393C4×D4—1461no—
1394C4×D4—1461no—
1395C4×D4—1461no—
1396C4×D4—1461no—
1397C4×D4—1461no—
1398C4×D4C22×D7311yescharacteristic
1399C4×D4C22×D7311yescharacteristic
1400#117—731no—
1401#117—731no—
1402C2×C4⋊C4—731no—
1403C2×C4⋊C4—731no—
1404C2×C4⋊C4—1461no—
1405C2×C4⋊C4C22×D7311yescharacteristic
1406C2×C4⋊C4C22×D7311yescharacteristic, complemented
1407C2×C22⋊C4—1461no—
1408C2×C22⋊C4—1461no—
1409C2×C22⋊C4—1461no—
1410C2×C22⋊C4—1461no—
1411C2×C22⋊C4—1461no—
1412C2×C22⋊C4—1461no—
1413C2×C22⋊C4—1461no—
1414C2×C22⋊C4—1461no—
1415C2×C22⋊C4—1461no—
1416C2×C22⋊C4—1461no—
1417#107—731no—
1418#107—731no—
1419#107—731no—
1420#107—731no—
1421#106—731no—
1422#106C22×D7311yescharacteristic, complemented
1423#106C22×D7311yescharacteristic, complemented
1424#106C22×D7311yescharacteristic, complemented
1425C4⋊C8—731no—
1426C4⋊C8—731no—
1427C4⋊C8—731no—
1428C4⋊C8C22×D7311yescharacteristic, complemented
1429#103—731no—
1430#103—731no—
1431#103—731no—
1432#103—731no—
1433#103—731no—
1434#103—731no—
1435#103—731no—
1436#103C22×D7311yescharacteristic, complemented
1437#102—731no—
1438#102—731no—
1439#102—731no—
1440#102—731no—
1441#102—731no—
1442#102—731no—
1443#102—731no—
1444#102—731no—
1445#102—731no—
1446#102—731no—
1447#102—731no—
1448#102—731no—
1449#102—731no—
1450#102—731no—
1451#102—731no—
1452#102C22×D7311yescharacteristic
1453#102C22×D7311yescharacteristic
1454#102C22×D7311yescharacteristic
1455#102C22×D7311yescharacteristic
1456#102C22×D7311yescharacteristic
1457#102C22×D7311yescharacteristic
1458#102C22×D7311yescharacteristic, complemented
1459#102C22×D7311yescharacteristic, complemented
1460#102C22×D7311yescharacteristic, complemented
1461C22⋊C8—731no—
1462C22⋊C8—731no—
1463C22⋊C8—731no—
1464C22⋊C8—731no—
1465C22⋊C8—731no—
1466C22⋊C8—731no—
1467C22⋊C8—731no—
1468C22⋊C8—731no—
1469C22⋊C8—731no—
1470C22⋊C8—731no—
1471C22⋊C8C22×D7311yescharacteristic
1472C22⋊C8C22×D7311yescharacteristic, complemented
1473#97—731no—
1474#97—731no—
1475C4×C8—731no—
1476C4×C8C22×D7311yescharacteristic, complemented
1477C24—21no—
1478C24—21no—
1479C24—2924no—
1480C24—5842no—
1481C24—5842no—
1482C24—731no—
1483C24—1461no—
1484C24—1461no—
1485C24—1461no—
1486C24—1461no—
1487C24—1461no—
1488C24—1461no—
1489C24—1461no—
1490#41—2921no—
1491#41—2921no—
1492#41—2921no—
1493#41—2921no—
1494#41—2921no—
1495#41—2924no—
1496#41—2921no—
1497#41—2921no—
1498#41—2921no—
1499#41—2921no—
1500#41—2921no—
1501#41—5842no—
1502#41—5842no—
1503#41—1462no—
1504#41—1462no—
1505C2×Q8—21no—
1506C2×Q8—2921no—
1507C2×Q8—2921no—
1508C2×Q8—731no—
1509C2×Q8—731no—
1510C2×Q8—731no—
1511C2×Q8—1461no—
1512C2×Q8—1461no—
1513C2×Q8C23×D7311yescharacteristic
1514C2×D4—22no—
1515C2×D4—22no—
1516C2×D4—21no—
1517C2×D4—21no—
1518C2×D4—21no—
1519C2×D4—21no—
1520C2×D4—21no—
1521C2×D4—21no—
1522C2×D4—41no—
1523C2×D4—41no—
1524C2×D4—82no—
1525C2×D4—2921no—
1526C2×D4—2921no—
1527C2×D4—2921no—
1528C2×D4—2924no—
1529C2×D4—2924no—
1530C2×D4—2924no—
1531C2×D4—2924no—
1532C2×D4—2924no—
1533C2×D4—2924no—
1534C2×D4—2921no—
1535C2×D4—2921no—
1536C2×D4—2921no—
1537C2×D4—2921no—
1538C2×D4—2921no—
1539C2×D4—5842no—
1540C2×D4—5842no—
1541C2×D4—5842no—
1542C2×D4—5842no—
1543C2×D4—731no—
1544C2×D4—731no—
1545C2×D4—731no—
1546C2×D4—731no—
1547C2×D4—731no—
1548C2×D4—731no—
1549C2×D4—731no—
1550C2×D4—731no—
1551C2×D4—731no—
1552C2×D4—731no—
1553C2×D4—1461no—
1554C2×D4—1461no—
1555C2×D4—1462no—
1556C2×D4—1461no—
1557C2×D4—1461no—
1558C2×D4—1461no—
1559C2×D4—1461no—
1560C2×D4—1461no—
1561C2×D4—1461no—
1562C2×D4—1461no—
1563C2×D4—1461no—
1564C2×D4—1461no—
1565C2×D4—1461no—
1566C2×D4—1461no—
1567C2×D4—1461no—
1568C2×D4—1462no—
1569C2×D4—1462no—
1570C2×D4—1462no—
1571C2×D4—1461no—
1572C2×D4—1461no—
1573C2×D4—1461no—
1574C2×D4—1461no—
1575C2×D4—1462no—
1576C2×D4—1461no—
1577C2×D4—1461no—
1578C2×D4—1461no—
1579C2×D4—1461no—
1580C2×D4—1462no—
1581C2×D4—1461no—
1582C2×D4—1461no—
1583C2×D4D4×D7311yescharacteristic
1584C2×D4C23×D7311yescharacteristic
1585C2×D4C23×D7311yescharacteristic
1586C2×D4C23×D7311yescharacteristic
1587C22×C4—21no—
1588C22×C4—21no—
1589C22×C4—21no—
1590C22×C4—2921no—
1591C22×C4—2921no—
1592C22×C4—731no—
1593C22×C4—731no—
1594C22×C4—731no—
1595C22×C4—731no—
1596C22×C4—731no—
1597C22×C4—731no—
1598C22×C4—1461no—
1599C22×C4—1461no—
1600C22×C4—1461no—
1601C22×C4—1461no—
1602C22×C4—1461no—
1603C22×C4—1461no—
1604C22×C4—1461no—
1605C22×C4—1461no—
1606C22×C4—1461no—
1607C22×C4—1461no—
1608C22×C4—1461no—
1609C22×C4—1461no—
1610C22×C4—1461no—
1611C22×C4C23×D7311yescharacteristic
1612C22×C4C23×D7311yescharacteristic
1613Q16—2921no—
1614Q16—2921no—
1615SD16—22no—
1616SD16—41no—
1617SD16—41no—
1618SD16—2921no—
1619SD16—2921no—
1620SD16—2921no—
1621SD16—2921no—
1622SD16—2921no—
1623SD16—2921no—
1624SD16—1462no—
1625SD16—1462no—
1626SD16—1462no—
1627D8—2921no—
1628D8—2921no—
1629D8—2921no—
1630D8—2921no—
1631D8—2921no—
1632D8—2921no—
1633D8—1462no—
1634D8—1462no—
1635D8—1462no—
1636D8—1462no—
1637M16—2921no—
1638M16—2921no—
1639C2×C8—41no—
1640C2×C8—41no—
1641C2×C8—2921no—
1642C2×C8—2921no—
1643C2×C8—2921no—
1644C2×C8—2921no—
1645C2×C8—731no—
1646C2×C8—731no—
1647C2×C8—731no—
1648C2×C8—731no—
1649C2×C8C23×D7311yescharacteristic
1650C2×C8C23×D7311yescharacteristic
1651C2×C8C23×D7311yescharacteristic
1652C2×C8C23×D7311yescharacteristic
1653C4⋊C4—21no—
1654C4⋊C4—21no—
1655C4⋊C4—21no—
1656C4⋊C4—21no—
1657C4⋊C4—21no—
1658C4⋊C4—21no—
1659C4⋊C4—731no—
1660C4⋊C4—731no—
1661C4⋊C4—731no—
1662C4⋊C4—731no—
1663C4⋊C4—731no—
1664C4⋊C4—731no—
1665C4⋊C4—731no—
1666C4⋊C4—1461no—
1667C4⋊C4—1461no—
1668C4⋊C4—1461no—
1669C4⋊C4—1461no—
1670C4⋊C4—1461no—
1671C4⋊C4—1461no—
1672C4⋊C4—1461no—
1673C4⋊C4—1461no—
1674C4⋊C4—1461no—
1675C4⋊C4—1461no—
1676C4⋊C4D4×D7311yescharacteristic
1677C4⋊C4C23×D7311yescharacteristic
1678C4⋊C4C23×D7311yescharacteristic
1679C4⋊C4C23×D7311yescharacteristic
1680C4⋊C4C23×D7311yescharacteristic
1681C22⋊C4—21no—
1682C22⋊C4—21no—
1683C22⋊C4—21no—
1684C22⋊C4—21no—
1685C22⋊C4—21no—
1686C22⋊C4—731no—
1687C22⋊C4—731no—
1688C22⋊C4—731no—
1689C22⋊C4—731no—
1690C22⋊C4—731no—
1691C22⋊C4—731no—
1692C22⋊C4—731no—
1693C22⋊C4—731no—
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⋊C4—1461no—
1703C22⋊C4—1461no—
1704C22⋊C4—1461no—
1705C22⋊C4—1461no—
1706C22⋊C4—1461no—
1707C22⋊C4—1461no—
1708C22⋊C4—1461no—
1709C22⋊C4—1461no—
1710C22⋊C4—1461no—
1711C22⋊C4—1461no—
1712C22⋊C4—1461no—
1713C22⋊C4—1461no—
1714C22⋊C4—1461no—
1715C22⋊C4—1461no—
1716C22⋊C4—1461no—
1717C22⋊C4—1461no—
1718C22⋊C4—1461no—
1719C22⋊C4—1461no—
1720C22⋊C4—1461no—
1721C22⋊C4—1461no—
1722C22⋊C4—1461no—
1723C22⋊C4—1461no—
1724C22⋊C4D4×D7311yescharacteristic
1725C22⋊C4D4×D7311yescharacteristic
1726C42—21no—
1727C42—731no—
1728C42—1461no—
1729C42—1461no—
1730C42C23×D7311yescharacteristic
1731C23—21no—
1732C23—21no—
1733C23—21no—
1734C23—42no—
1735C23—42no—
1736C23—42no—
1737C23—81no—
1738C23—81no—
1739C23—81no—
1740C23—2921no—
1741C23—2922no—
1742C23—2922no—
1743C23—2922no—
1744C23—2922no—
1745C23—2922no—
1746C23—2922no—
1747C23—2922no—
1748C23—2922no—
1749C23—2922no—
1750C23—5841no—
1751C23—5841no—
1752C23—5841no—
1753C23—5841no—
1754C23—5841no—
1755C23—5841no—
1756C23—5841no—
1757C23—5841no—
1758C23—5841no—
1759C23—5841no—
1760C23—5841no—
1761C23—58416no—
1762C23—731no—
1763C23—731no—
1764C23—731no—
1765C23—1462no—
1766C23—1464no—
1767C23—1461no—
1768C23—1461no—
1769C23—1461no—
1770C23—1462no—
1771C23—1461no—
1772C23C2×D4×D7311yescharacteristic
1773C23C2×D4×D7311yescharacteristic
1774Q8—21no—
1775Q8—21no—
1776Q8—81no—
1777Q8—2921no—
1778Q8—5841no—
1779Q8—5841no—
1780Q8—1461no—
1781Q8—1461no—
1782Q8—1461no—
1783Q8—1461no—
1784D4—22no—
1785D4—21no—
1786D4—21no—
1787D4—21no—
1788D4—21no—
1789D4—21no—
1790D4—42no—
1791D4—42no—
1792D4—42no—
1793D4—81no—
1794D4—81no—
1795D4—81no—
1796D4—2922no—
1797D4—2921no—
1798D4—2922no—
1799D4—2922no—
1800D4—2922no—
1801D4—2922no—
1802D4—2922no—
1803D4—2922no—
1804D4—2922no—
1805D4—2921no—
1806D4—2921no—
1807D4—2922no—
1808D4—2922no—
1809D4—2922no—
1810D4—5841no—
1811D4—5841no—
1812D4—5841no—
1813D4—5841no—
1814D4—5841no—
1815D4—5841no—
1816D4—5841no—
1817D4—5841no—
1818D4—5841no—
1819D4—5841no—
1820D4—5841no—
1821D4—5841no—
1822D4—732no—
1823D4—1462no—
1824D4—1462no—
1825D4—1464no—
1826D4—1462no—
1827D4—1461no—
1828D4—1461no—
1829D4—1461no—
1830D4—1461no—
1831D4—1461no—
1832D4—1461no—
1833D4—1461no—
1834D4#1455663712yes—
1835C2×C4—21no—
1836C2×C4—21no—
1837C2×C4—21no—
1838C2×C4—21no—
1839C2×C4—21no—
1840C2×C4—21no—
1841C2×C4—21no—
1842C2×C4—21no—
1843C2×C4—21no—
1844C2×C4—81no—
1845C2×C4—81no—
1846C2×C4—81no—
1847C2×C4—2922no—
1848C2×C4—2921no—
1849C2×C4—2921no—
1850C2×C4—2922no—
1851C2×C4—2922no—
1852C2×C4—2922no—
1853C2×C4—2921no—
1854C2×C4—5841no—
1855C2×C4—5841no—
1856C2×C4—5841no—
1857C2×C4—5841no—
1858C2×C4—5841no—
1859C2×C4—5841no—
1860C2×C4—5841no—
1861C2×C4—5841no—
1862C2×C4—5841no—
1863C2×C4—731no—
1864C2×C4—731no—
1865C2×C4—731no—
1866C2×C4—731no—
1867C2×C4—731no—
1868C2×C4—1461no—
1869C2×C4—1461no—
1870C2×C4—1461no—
1871C2×C4—1461no—
1872C2×C4—1461no—
1873C2×C4—1461no—
1874C2×C4—1461no—
1875C2×C4—1461no—
1876C2×C4—1461no—
1877C2×C4—1461no—
1878C2×C4C2×D4×D7311yescharacteristic
1879C2×C4C2×D4×D7311yescharacteristic
1880C2×C4C2×D4×D7311yescharacteristic
1881C2×C4C2×D4×D7311yescharacteristic
1882C2×C4C24×D7311yescharacteristic
1883C8—21no—
1884C8—21no—
1885C8—21no—
1886C8—21no—
1887C8—1461no—
1888C8—1461no—
1889C8—1461no—
1890C8—1461no—
1891C22—21no—
1892C22—21no—
1893C22—21no—
1894C22—22no—
1895C22—21no—
1896C22—21no—
1897C22—41no—
1898C22—41no—
1899C22—41no—
1900C22—41no—
1901C22—41no—
1902C22—41no—
1903C22—41no—
1904C22—41no—
1905C22—84no—
1906C22—162no—
1907C22—2924no—
1908C22—2921no—
1909C22—2921no—
1910C22—2921no—
1911C22—2921no—
1912C22—2921no—
1913C22—2921no—
1914C22—2921no—
1915C22—2921no—
1916C22—2921no—
1917C22—2921no—
1918C22—2921no—
1919C22—5844no—
1920C22—5844no—
1921C22—5844no—
1922C22—5844no—
1923C22—5844no—
1924C22—732no—
1925C22—11682no—
1926C22—11682no—
1927C22—1461no—
1928C22—1462no—
1929C22—1461no—
1930C22—1461no—
1931C22—1461no—
1932C22—1461no—
1933C22—1461no—
1934C22—1461no—
1935C22—1461no—
1936C22#1798939312yes—
1937C22C22×D4×D7311yescharacteristic
1938C4—21no—
1939C4—21no—
1940C4—21no—
1941C4—21no—
1942C4—41no—
1943C4—41no—
1944C4—41no—
1945C4—41no—
1946C4—41no—
1947C4—2921no—
1948C4—2921no—
1949C4—2921no—
1950C4—2921no—
1951C4—1461no—
1952C4—1461no—
1953C4—1461no—
1954C4—1461no—
1955C4—1461no—
1956C4H(5,𝔽2)×D7311yescharacteristic
1957C4C2×#1455663711yescharacteristic
1958C2—22no—
1959C2—41no—
1960C2—42no—
1961C2—81no—
1962C2—81no—
1963C2—2921no—
1964C2—2922no—
1965C2—2921no—
1966C2—5841no—
1967C2—5841no—
1968C2—5841no—
1969C2—1462no—
1970C2#2262356111yescharacteristic
1971C2#576×D7311yescharacteristic
1972C2C2×#1798939311yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3295C2
socleC22×C73C23×D4
hypercenter#3295D73
hypocenterC73#61629
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3295

Complements

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

NH ≅ G/Ntype
1. #22624159C2semidirect
2. #22623559C2semidirect
3. #22622008C2semidirect
4. #22622006C2semidirect
5. #22621895C2semidirect
6. #22621889C2semidirect
7. #22621753C2semidirect
8. #22621743C2semidirect
9. #22621740C2semidirect
10. #22621645C2semidirect
11. #22621640C2semidirect
12. #22621618C2semidirect
13. #22621609C2semidirect
14. #22621424C2semidirect
15. #22621421C2semidirect
16. #22621408C2semidirect
17. #22621407C2semidirect
18. #22621030C2semidirect
19. #22621028C2semidirect
20. #22620788C2semidirect
21. #22620786C2semidirect
22. #22620707C2semidirect
23. #22620695C2semidirect
24. #22620121C2semidirect
25. #22620120C2semidirect
26. #22619240C2semidirect
27. #22619236C2semidirect
28. #450×D73C2semidirect
29. C2×#17988722C2semidirect
30. #22618984C2semidirect
31. C73×#3295C2semidirect
32. C2×#14556636C22semidirect
34. C2×#14556618C22semidirect
35. C2×#14556617C22semidirect
36. C2×#14556613C22semidirect
37. C2×#14556612C22semidirect
38. C2×SD16×D73C22semidirect
39. C2×SD16×D73C22semidirect
40. C22×D584C22semidirect
41. C22×#11924013C22semidirect
44. #17989292C22semidirect
45. #17989249C22semidirect
46. #17989247C22semidirect
47. #17989240C22semidirect
48. #17989238C22semidirect
49. #17989234C22semidirect
52. #17989233C22semidirect
53. #17989232C22semidirect
56. #17989228C22semidirect
59. #17989222C22semidirect
62. D4×C22⋊D73C22semidirect
65. #17989211C22semidirect
66. #17989209C22semidirect
69. #17989168C22semidirect
71. #17989167C22semidirect
72. #17989153C22semidirect
73. #17989150C22semidirect
78. C22⋊Q8×D73C22semidirect
79. C2×#14556566C22semidirect
82. #17989059C22semidirect
83. #17988974C22semidirect
84. #17988973C22semidirect
85. #17988971C22semidirect
86. #17988968C22semidirect
87. #17988949C22semidirect
88. #17988945C22semidirect
89. #17988932C22semidirect
90. #17988931C22semidirect
91. #17988927C22semidirect
92. #17988922C22semidirect
93. #17988919C22semidirect
94. #17988913C22semidirect
95. #17988913C22semidirect
96. #17988907C22semidirect
97. #17988900C22semidirect
98. #17988899C22semidirect
99. #17988899C22semidirect
100. #17988876C22semidirect
101. #17988865C22semidirect
102. #17988864C22semidirect
103. #17988841C22semidirect
104. #17988838C22semidirect
105. #17988835C22semidirect
106. #17988832C22semidirect
107. #17988828C22semidirect
108. #17988826C22semidirect
109. #17988823C22semidirect
110. #17988822C22semidirect
111. #17988822C22semidirect
112. #17988822C22semidirect
113. #17988817C22semidirect
114. #17988817C22semidirect
115. #17988817C22semidirect
116. #17988814C22semidirect
117. #17988809C22semidirect
118. #17988808C22semidirect
119. #17988805C22semidirect
120. #17988804C22semidirect
121. #17988803C22semidirect
122. #17988803C22semidirect
123. #17988802C22semidirect
124. #17988801C22semidirect
125. #17988786C22semidirect
126. #17988781C22semidirect
127. #17988779C22semidirect
128. #17988750C22semidirect
129. #17988750C22semidirect
130. #17988747C22semidirect
131. #17988746C22semidirect
132. #17988744C22semidirect
133. #17988740C22semidirect
134. #17988740C22semidirect
135. #17988739C22semidirect
136. #17988739C22semidirect
137. #17988739C22semidirect
138. #17988738C22semidirect
139. #17988737C22semidirect
140. #17988736C22semidirect
141. #17988736C22semidirect
142. #17988735C22semidirect
143. #17988734C22semidirect
144. #17988734C22semidirect
145. #17988733C22semidirect
146. #17988733C22semidirect
147. #17988733C22semidirect
148. #17988731C22semidirect
149. #17988730C22semidirect
150. #17988724C22semidirect
153. #17988722C22semidirect
154. #17988722C22semidirect
155. #17988722C22semidirect
156. #17988722C22semidirect
157. #17988722C22semidirect
158. #17988722C22semidirect
159. #17988722C22semidirect
160. #17988721C22semidirect
161. #17988720C22semidirect
162. #17988698C22semidirect
163. #17988697C22semidirect
164. #17988685C22semidirect
165. #17988684C22semidirect
166. #17988674C22semidirect
167. C4×D584C22semidirect
168. #17988667C22semidirect
169. #17988661C22semidirect
170. #17988659C22semidirect
171. #17988658C22semidirect
172. #17988657C22semidirect
173. C8×D292C22semidirect
174. C8×C22⋊D73C22semidirect
175. #17988650C22semidirect
176. #17988647C22semidirect
177. #17988646C22semidirect
178. #17988586C22semidirect
179. #17988585C22semidirect
180. C2×#14556511C22semidirect
181. #102×D73C22semidirect
182. #102×D73C22semidirect
183. #102×D73C22semidirect
184. #17988553C22semidirect
185. #17988552C22semidirect
186. C2×#14556503C22semidirect
187. C22⋊C8×D73C22semidirect
188. #554×C73C22semidirect
190. #486×C73C22semidirect
191. #481×C73C22semidirect
192. #481×C73C22semidirect
193. #476×C73C22semidirect
194. #465×C73C22semidirect
195. #465×C73C22semidirect
196. #460×C73C22semidirect
197. #450×C73C22semidirect
198. #450×C73C22semidirect
199. C4×SD16×C73C22semidirect
200. C8×D4×C73C22semidirect
201. C2×#102×C73C22semidirect
202. C2×#102×C73C22semidirect
207. C2×#11924029C23semidirect
211. C2×#11924028C23semidirect
240. C2×Dic292C23semidirect
241. C2×#11924018C23semidirect
244. C2×#11924017C23semidirect
245. C2×#11924017C23semidirect
248. C2×#11924016C23semidirect
263. C2×#11924013C23semidirect
264. C2×#11924013C23semidirect
265. C2×#11924012C23semidirect
266. C2×#11924011C23semidirect
270. C2×C8×D73C23semidirect
271. #14556590C23semidirect
278. #14556580C23semidirect
282. #14556579C23semidirect
305. #14556571C23semidirect
332. #14556566C23semidirect
337. #14556565C23semidirect
373. #14556556C23semidirect
377. C4×D292C23semidirect
382. #14556553C23semidirect
393. C4⋊C4×D73C23semidirect
404. #14556525C23semidirect
405. #14556524C23semidirect
406. #14556524C23semidirect
407. #14556524C23semidirect
408. #14556522C23semidirect
409. C4⋊#10596831C23semidirect
410. #14556520C23semidirect
411. #14556520C23semidirect
412. #14556516C23semidirect
413. #14556516C23semidirect
414. #14556515C23semidirect
415. #14556514C23semidirect
416. #14556514C23semidirect
417. #14556514C23semidirect
418. #14556514C23semidirect
421. #14556513C23semidirect
422. #14556513C23semidirect
425. #14556512C23semidirect
432. #14556511C23semidirect
433. #14556511C23semidirect
435. C22⋊#10596831C23semidirect
442. #14556503C23semidirect
443. #14556503C23semidirect
444. #14556502C23semidirect
445. #14556501C23semidirect
446. C8×Dic73C23semidirect
452. C2×SD16×C73C23semidirect
454. C22×C8×C73C23semidirect
455. C4⋊Q8×C73C23semidirect
461. C22⋊Q8×C73C23semidirect
467. C4×Q8×C73C23semidirect
472. C2×C4⋊C4×C73C23semidirect
473. #106×C73C23semidirect
474. #106×C73C23semidirect
475. #106×C73C23semidirect
476. C4⋊C8×C73C23semidirect
477. #103×C73C23semidirect
484. #102×C73C23semidirect
485. #102×C73C23semidirect
486. #102×C73C23semidirect
488. C22⋊C8×C73C23semidirect
489. C4×C8×C73C23semidirect
994. #3295D73semidirect
1018. C73#61629semidirect
1032. #554C2×D73semidirect
1079. #486C2×D73semidirect
1087. #481C2×D73semidirect
1088. #481C2×D73semidirect
1093. #476C2×D73semidirect
1110. #465C2×D73semidirect
1111. #465C2×D73semidirect
1121. #460C2×D73semidirect
1138. #450C2×D73semidirect
1139. #450C2×D73semidirect
1165. C4×SD16C2×D73semidirect
1175. C8×D4C2×D73semidirect
1184. C2×#102C2×D73semidirect
1185. C2×#102C2×D73semidirect
1245. C2×SD16C22×D73semidirect
1265. C22×C8C22×D73semidirect
1267. C4⋊Q8C22×D73semidirect
1322. C22⋊Q8C22×D73semidirect
1381. C4×Q8C22×D73semidirect
1406. C2×C4⋊C4C22×D73semidirect
1422. #106C22×D73semidirect
1423. #106C22×D73semidirect
1424. #106C22×D73semidirect
1428. C4⋊C8C22×D73semidirect
1436. #103C22×D73semidirect
1458. #102C22×D73semidirect
1459. #102C22×D73semidirect
1460. #102C22×D73semidirect
1472. C22⋊C8C22×D73semidirect
1476. C4×C8C22×D73semidirect

Maximal subgroups

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

subgroupindex
#226241592
#226235592
#226220082
#226220062
#226218952
#226218892
#226217532
#226217432
#226217402
#226216452
#226216402
#226216182
#226216092
#226214242
#226214212
#226214082
#226214072
#226210302
#226210282
#226207882
#226207862
#226207072
#226206952
#226201212
#226201202
#226192402
#226192362
#450×D732
C2×#179887222
#226189842
C73×#32952
#6162973