Finite Group Databasebeta

← #33972063

Subgroups — #33972063

Order 18688.

2350 conjugacy classes of subgroups.

The subgroup lattice has 2026 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624167C211yesmaximal, characteristic, complemented
2#22623561C211yesmaximal, characteristic, complemented
3#22622075C211yesmaximal, characteristic, complemented
4#22622069C211yesmaximal, characteristic, complemented
5#22622068C211yesmaximal, characteristic, complemented
6#22622066C211yesmaximal, characteristic, complemented
7#22621782C211yesmaximal, characteristic, complemented
8#22621780C211yesmaximal, characteristic, complemented
9#22621779C211yesmaximal, characteristic, complemented
10D4×D584C211yesmaximal, characteristic, complemented
11D8×D292C211yesmaximal, characteristic, complemented
12#22621605C211yesmaximal, characteristic, complemented
13#22621601C211yesmaximal, characteristic, complemented
14#22621417C211yesmaximal, characteristic, complemented
15#22621414C211yesmaximal, characteristic, complemented
16#22621412C211yesmaximal, characteristic, complemented
17#22621408C211yesmaximal, characteristic, complemented
18#22620984C211yesmaximal, characteristic, complemented
19#22620978C211yesmaximal, characteristic, complemented
20#22620795C211yesmaximal, characteristic, complemented
21#22620791C211yesmaximal, characteristic, complemented
22#22620701C211yesmaximal, characteristic, complemented
23#22620697C211yesmaximal, characteristic, complemented
24#22620176C211yesmaximal, characteristic, complemented
25#22620171C211yesmaximal, characteristic, complemented
26#22619202C211yesmaximal, characteristic, complemented
27#22619196C211yesmaximal, characteristic, complemented
28C2×#17988722C211yesmaximal, characteristic, complemented
29#447×D73C211yesmaximal, characteristic, complemented
30#22618984C211yesmaximal, characteristic, complemented
31C73×#3297C211yesmaximal, characteristic, complemented
32C2×#14556637C2211yescharacteristic, complemented
33C22×D4×D73C2211yescharacteristic, complemented
34C2×#14556618C2211yescharacteristic, complemented
35C2×#14556616C2211yescharacteristic, complemented
36C22×D584C2211yescharacteristic, complemented
37C22×D584C2211yescharacteristic, complemented
38C22×#11924013C2211yescharacteristic, complemented
39C2×D8×D73C2211yescharacteristic, complemented
40C2×D8×D73C2211yescharacteristic, complemented
41C2×D8×D73C2211yescharacteristic, complemented
42#17989328—21no—
43#17989327—21no—
44#17989290C2211yescharacteristic, complemented
45#17989285C2211yescharacteristic, complemented
46#17989281C2211yescharacteristic, complemented
47#17989230C2211yescharacteristic, complemented
48#17989229—21no—
49#17989228C2211yescharacteristic, complemented
50#17989227—21no—
51#17989225C2211yescharacteristic, complemented
52D4×D292—21no—
53D4×D292C2211yescharacteristic, complemented
54D4×D292C2211yescharacteristic, complemented
55D4×D292C2211yescharacteristic, complemented
56D4×D292C2211yescharacteristic, complemented
57#17989221—21no—
58#17989221—21no—
59#17989221C2211yescharacteristic, complemented
60#17989221C2211yescharacteristic, complemented
61#17989221C2211yescharacteristic, complemented
62D4×C22⋊D73C2211yescharacteristic, complemented
63#17989219—21no—
64#17989193C2211yescharacteristic, complemented
65#17989188C2211yescharacteristic, complemented
66#17989176—21no—
67#17989170—21no—
68#17989156C2211yescharacteristic, complemented
69#17989155C2211yescharacteristic, complemented
70#17989153C2211yescharacteristic, complemented
71#17989153C2211yescharacteristic, complemented
72#17989148—21no—
73#17989148—21no—
74#17989145—21no—
75#17989145—21no—
76#17989100C2211yescharacteristic, complemented
77#17989096C2211yescharacteristic
78C2×#14556566C2211yescharacteristic, complemented
79#121×D73C2211yescharacteristic, complemented
80C2×#14556561—21no—
81#120×D73—21no—
82#17989059C2211yescharacteristic, complemented
83#17988977C2211yescharacteristic, complemented
84#17988973C2211yescharacteristic, complemented
85#17988964C2211yescharacteristic, complemented
86#17988962C2211yescharacteristic, complemented
87#17988953C2211yescharacteristic, complemented
88#17988950C2211yescharacteristic, complemented
89#17988943C2211yescharacteristic, complemented
90#17988921C2211yescharacteristic, complemented
91#17988914C2211yescharacteristic, complemented
92#17988914C2211yescharacteristic, complemented
93#17988914C2211yescharacteristic, complemented
94#17988913C2211yescharacteristic, complemented
95#17988911C2211yescharacteristic, complemented
96#17988909C2211yescharacteristic, complemented
97#17988909C2211yescharacteristic, complemented
98#17988907C2211yescharacteristic, complemented
99#17988905C2211yescharacteristic, complemented
100#17988890C2211yescharacteristic, complemented
101#17988885C2211yescharacteristic, complemented
102#17988884C2211yescharacteristic, complemented
103#17988841C2211yescharacteristic, complemented
104#17988839C2211yescharacteristic, complemented
105#17988838C2211yescharacteristic, complemented
106#17988838C2211yescharacteristic, complemented
107#17988824C2211yescharacteristic, complemented
108#17988824C2211yescharacteristic, complemented
109#17988824C2211yescharacteristic, complemented
110#17988823C2211yescharacteristic, complemented
111#17988823C2211yescharacteristic, complemented
112#17988822C2211yescharacteristic, complemented
113#17988821C2211yescharacteristic, complemented
114#17988819C2211yescharacteristic, complemented
115#17988819C2211yescharacteristic, complemented
116#17988818C2211yescharacteristic, complemented
117#17988805C2211yescharacteristic, complemented
118#17988805C2211yescharacteristic, complemented
119#17988799C2211yescharacteristic, complemented
120#17988783C2211yescharacteristic, complemented
121#17988783C2211yescharacteristic, complemented
122#17988782C2211yescharacteristic, complemented
123#17988782C2211yescharacteristic, complemented
124#17988781C2211yescharacteristic, complemented
125#17988781C2211yescharacteristic, complemented
126#17988781C2211yescharacteristic, complemented
127#17988780C2211yescharacteristic, complemented
128#17988737C2211yescharacteristic, complemented
129#17988736C2211yescharacteristic, complemented
130#17988735C2211yescharacteristic, complemented
131#17988735C2211yescharacteristic, complemented
132#17988735C2211yescharacteristic, complemented
133#17988735C2211yescharacteristic, complemented
134#17988735C2211yescharacteristic, complemented
135#17988732C2211yescharacteristic, complemented
136#17988731C2211yescharacteristic, complemented
137#17988723C2211yescharacteristic, complemented
138#17988723C2211yescharacteristic, complemented
139#17988723C2211yescharacteristic, complemented
140#17988723C2211yescharacteristic, complemented
141#17988722C2211yescharacteristic, complemented
142#17988722C2211yescharacteristic, complemented
143#17988722C2211yescharacteristic, complemented
144#17988722C2211yescharacteristic, complemented
145#17988722C2211yescharacteristic, complemented
146#17988722C2211yescharacteristic, complemented
147#17988722C2211yescharacteristic, complemented
148#17988722C2211yescharacteristic, complemented
149#17988722C2211yescharacteristic, complemented
150#17988722C2211yescharacteristic, complemented
151#17988722C2211yescharacteristic, complemented
152#17988722C2211yescharacteristic, complemented
153#17988722C2211yescharacteristic, complemented
154#17988722C2211yescharacteristic, complemented
155#17988721C2211yescharacteristic, complemented
156#17988720C2211yescharacteristic, complemented
157#17988720C2211yescharacteristic, complemented
158#17988720C2211yescharacteristic, complemented
159#17988719C2211yescharacteristic, complemented
160#17988719C2211yescharacteristic, complemented
161#17988719C2211yescharacteristic, complemented
162#17988698C2211yescharacteristic, complemented
163#17988697C2211yescharacteristic, complemented
164#17988697C2211yescharacteristic, complemented
165#17988696C2211yescharacteristic, complemented
166C4×D584C2211yescharacteristic, complemented
167#17988669C2211yescharacteristic, 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#17988591C2211yescharacteristic, complemented
179#17988590C2211yescharacteristic, complemented
180#17988582C2211yescharacteristic, complemented
181C2×#14556511C2211yescharacteristic, complemented
182#102×D73C2211yescharacteristic, complemented
183#102×D73C2211yescharacteristic, complemented
184#17988553C2211yescharacteristic, complemented
185#17988552C2211yescharacteristic, complemented
186C2×#14556503C2211yescharacteristic, complemented
187C22⋊C8×D73C2211yescharacteristic, complemented
188#553×C73C2211yescharacteristic, complemented
189#546×C73C2211yescharacteristic, complemented
190#488×C73C2211yescharacteristic, complemented
191#484×C73C2211yescharacteristic, complemented
192#482×C73C2211yescharacteristic, complemented
193#478×C73C2211yescharacteristic, complemented
194#466×C73C2211yescharacteristic, complemented
195#465×C73C2211yescharacteristic, complemented
196#463×C73C2211yescharacteristic, complemented
197#449×C73C2211yescharacteristic, complemented
198#447×C73C2211yescharacteristic, complemented
199C4×D8×C73C2211yescharacteristic, complemented
200C8×D4×C73C2211yescharacteristic, complemented
201#416×C73C2211yescharacteristic, complemented
202C2×#102×C73C2211yescharacteristic, complemented
203C24×D73—21no—
204#14556637—42no—
205#14556637—42no—
206C2×#11924029C2311yescharacteristic
207C2×#11924029C2311yescharacteristic
208C2×#11924028—21no—
209C2×#11924028C2311yescharacteristic
210C22×D292—21no—
211C22×D292—21no—
212C22×D292—21no—
213C22×D292—21no—
214C22×D292C2311yescharacteristic
215C22×D292C2311yescharacteristic
216C22×D292C2311yescharacteristic
217C22×D292C2311yescharacteristic, complemented
218C22×C22⋊D73—21no—
219C22×C22⋊D73—21no—
220C2×D4×D73—21no—
221C2×D4×D73—21no—
222C2×D4×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—21no—
229C2×D4×D73—21no—
230C2×D4×D73—42no—
231C2×D4×D73—42no—
232C2×D4×D73C2311yescharacteristic
233C2×D4×D73C2311yescharacteristic
234C2×D4×D73C2311yescharacteristic
235C2×D4×D73C2311yescharacteristic
236C2×D4×D73C2311yescharacteristic
237C2×D4×D73C2311yescharacteristic
238C2×D4×D73C2311yescharacteristic, complemented
239C22×C4×D73C2311yescharacteristic
240#14556618—42no—
241#14556616—42no—
242C2×#11924015C2311yescharacteristic, complemented
243C2×#11924015C2311yescharacteristic, complemented
244C2×#11924015C2311yescharacteristic, complemented
245C2×D584—42no—
246C2×D584—42no—
247C2×D584C2311yescharacteristic
248C2×D584C2311yescharacteristic
249C2×D584C2311yescharacteristic
250C2×D584C2311yescharacteristic
251C2×D584C2311yescharacteristic
252C2×D584C2311yescharacteristic
253C2×D584C2311yescharacteristic, complemented
254C2×D584C2311yescharacteristic, complemented
255C2×D584C2311yescharacteristic, complemented
256C2×#11924013—42no—
257C2×#11924013C2311yescharacteristic
258C2×#11924013C2311yescharacteristic
259C2×#11924013C2311yescharacteristic
260C2×#11924013C2311yescharacteristic
261C2×#11924013C2311yescharacteristic
262C2×#11924013C2311yescharacteristic
263C2×#11924013C2311yescharacteristic
264C2×#11924013C2311yescharacteristic
265C2×#11924013C2311yescharacteristic, complemented
266D8×D73—42no—
267D8×D73—42no—
268D8×D73—42no—
269C2×#11924012C2311yescharacteristic, complemented
270C2×#11924011C2311yescharacteristic, complemented
271C22×#10596831C2311yescharacteristic
272C2×C8×D73C2311yescharacteristic
273C2×C8×D73C2311yescharacteristic
274C2×C8×D73C2311yescharacteristic, complemented
275#14556588—21no—
276#14556588C2311yescharacteristic
277#14556588C2311yescharacteristic, complemented
278#14556587—21no—
279#14556587—21no—
280#14556587C2311yescharacteristic
281#14556587C2311yescharacteristic, complemented
282#14556586—21no—
283#14556586—21no—
284#14556585—21no—
285#14556582C2311yescharacteristic, complemented
286#14556580C2311yescharacteristic
287#14556579—21no—
288#14556577—21no—
289#14556577—21no—
290#14556576—21no—
291#14556576—21no—
292#14556576—21no—
293#14556576—21no—
294#14556576—21no—
295#14556576—21no—
296#14556576D411yescharacteristic
297#14556574—21no—
298#14556574—21no—
299#14556573—21no—
300#14556573—21no—
301#14556573—21no—
302#14556573D411yescharacteristic
303#14556569D411yescharacteristic
304#14556568D411yescharacteristic
305#14556567C2311yescharacteristic
306#14556566—21no—
307#14556566—21no—
308#14556566—21no—
309#14556566—21no—
310#14556566—21no—
311#14556566—21no—
312#14556566—21no—
313#14556566—21no—
314#14556566C2311yescharacteristic
315#14556566C2311yescharacteristic
316#14556566C2311yescharacteristic
317#14556566C2311yescharacteristic
318#14556566C2311yescharacteristic
319#14556566C2311yescharacteristic
320#14556566C2311yescharacteristic
321#14556566C2311yescharacteristic, complemented
322#14556566C2311yescharacteristic, complemented
323#14556565—21no—
324#14556565—21no—
325#14556565—21no—
326#14556565—21no—
327#14556565C2311yescharacteristic
328#14556565C2311yescharacteristic
329#14556565C2311yescharacteristic
330#14556565C2311yescharacteristic, complemented
331#14556564—21no—
332#14556564—21no—
333#14556564—21no—
334#14556564—21no—
335#14556564—21no—
336#14556564—21no—
337#14556564—21no—
338#14556564—21no—
339#14556564—21no—
340#14556564D411yescharacteristic
341#14556563—21no—
342#14556563—21no—
343#14556563—21no—
344#14556563D411yescharacteristic
345#14556562C2311yescharacteristic
346#14556562C2311yescharacteristic
347#14556561—21no—
348#14556561—21no—
349#14556561—21no—
350#14556561—21no—
351#14556561—21no—
352#14556561—21no—
353#14556561—21no—
354#14556561—21no—
355#14556561—21no—
356#14556561—21no—
357#14556561—21no—
358#14556561—21no—
359#14556561—21no—
360#14556561—21no—
361#14556561—21no—
362#14556561—21no—
363#14556561—21no—
364#14556561—21no—
365#14556561—21no—
366#14556561—21no—
367#14556561D411yescharacteristic
368#14556560—21no—
369#14556559—21no—
370#14556559—21no—
371#14556559—21no—
372#14556559—21no—
373#14556559—21no—
374#14556559—21no—
375#14556559—21no—
376#14556559D411yescharacteristic
377C4×D292—21no—
378C4×D292C2311yescharacteristic
379C4×D292C2311yescharacteristic
380C4×D292C2311yescharacteristic, complemented
381D4×Dic73C2311yescharacteristic
382#14556553—21no—
383#14556553—21no—
384#14556553C2311yescharacteristic
385#14556553C2311yescharacteristic, complemented
386#14556553C2311yescharacteristic, complemented
387C4×C22⋊D73—21no—
388C4×C22⋊D73—21no—
389C4×C22⋊D73C2311yescharacteristic
390C4×C22⋊D73C2311yescharacteristic
391#14556551—21no—
392#14556551—21no—
393#14556549C2311yescharacteristic
394#14556549C2311yescharacteristic, complemented
395#14556548C2311yescharacteristic
396C4⋊C4×D73C2311yescharacteristic
397C2×#11924005—21no—
398C2×#11924005—21no—
399C2×#11924005—21no—
400C22⋊C4×D73—21no—
401C22⋊C4×D73—21no—
402C22⋊C4×D73—21no—
403C22⋊C4×D73—21no—
404#14556525C2311yescharacteristic, complemented
405#14556524C2311yescharacteristic, complemented
406#14556522C2311yescharacteristic, complemented
407#14556522C2311yescharacteristic, complemented
408#14556522C2311yescharacteristic, complemented
409C4⋊#10596831C2311yescharacteristic, complemented
410#14556520C2311yescharacteristic, complemented
411#14556520C2311yescharacteristic, complemented
412#14556515C2311yescharacteristic, complemented
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556513C2311yescharacteristic, complemented
416#14556513C2311yescharacteristic, complemented
417#14556513C2311yescharacteristic, complemented
418#14556513C2311yescharacteristic, complemented
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic, complemented
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426#14556511C2311yescharacteristic
427#14556511C2311yescharacteristic
428#14556511C2311yescharacteristic, complemented
429#14556511C2311yescharacteristic, complemented
430#14556511C2311yescharacteristic, complemented
431#14556511C2311yescharacteristic, complemented
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
447C2×#41×C73C2311yescharacteristic
448C22×D4×C73C2311yescharacteristic
449C2×SD16×C73C2311yescharacteristic, complemented
450C2×D8×C73C2311yescharacteristic
451C2×D8×C73C2311yescharacteristic
452C22×C8×C73C2311yescharacteristic
453C22×C8×C73C2311yescharacteristic, complemented
454#126×C73—21no—
455#125×C73C2311yescharacteristic, complemented
456#124×C73C2311yescharacteristic
457#123×C73—21no—
458#123×C73—21no—
459C22⋊Q8×C73C2311yescharacteristic
460#121×C73—21no—
461#121×C73—21no—
462#121×C73C2311yescharacteristic
463#121×C73C2311yescharacteristic
464#121×C73C2311yescharacteristic, complemented
465#120×C73—21no—
466C4×D4×C73—21no—
467C4×D4×C73C2311yescharacteristic
468C4×D4×C73C2311yescharacteristic
469C4×D4×C73C2311yescharacteristic, complemented
470#117×C73C2311yescharacteristic, complemented
471C2×C4⋊C4×C73C2311yescharacteristic
472C2×C22⋊C4×C73—21no—
473#107×C73C2311yescharacteristic, complemented
474#107×C73C2311yescharacteristic, complemented
475#106×C73C2311yescharacteristic, complemented
476C4⋊C8×C73C2311yescharacteristic, complemented
477#103×C73C2311yescharacteristic, complemented
478#103×C73C2311yescharacteristic, complemented
479#103×C73C2311yescharacteristic, complemented
480#102×C73C2311yescharacteristic
481#102×C73C2311yescharacteristic
482#102×C73C2311yescharacteristic
483#102×C73C2311yescharacteristic
484#102×C73C2311yescharacteristic
485#102×C73C2311yescharacteristic
486#102×C73C2311yescharacteristic, complemented
487C22⋊C8×C73C2311yescharacteristic
488C22⋊C8×C73C2311yescharacteristic, complemented
489C4×C8×C73C2311yescharacteristic, complemented
490C23×D73—21no—
491C23×D73—21no—
492C23×D73—21no—
493C23×D73—21no—
494C23×D73—21no—
495C23×D73—21no—
496C23×D73—21no—
497C23×D73—21no—
498C23×D73—21no—
499C23×D73—21no—
500C23×D73—21no—
501C23×D73—44no—
502C23×D73—82no—
503C23×D73—82no—
504C23×D73C2×D411yescharacteristic
505#11924029—22no—
506#11924029—41no—
507#11924029—41no—
508#11924029—41no—
509#11924028—41no—
510#11924028—41no—
511#11924028—44no—
512C2×Dic146C2×D411yescharacteristic
513C2×D292—22no—
514C2×D292—22no—
515C2×D292—21no—
516C2×D292—21no—
517C2×D292—21no—
518C2×D292—21no—
519C2×D292—21no—
520C2×D292—21no—
521C2×D292—21no—
522C2×D292—21no—
523C2×D292—21no—
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—21no—
534C2×D292—41no—
535C2×D292—41no—
536C2×D292—41no—
537C2×D292—41no—
538C2×D292—41no—
539C2×D292—41no—
540C2×D292—44no—
541C2×D292—82no—
542C2×D292—82no—
543C2×D292—82no—
544C2×D292C2×D411yescharacteristic
545C2×D292C2×D411yescharacteristic
546C2×D292C2411yescharacteristic
547C2×D292C2411yescharacteristic
548C2×D292C2411yescharacteristic
549C2×D292C2411yescharacteristic
550C2×D292C2411yescharacteristic
551C2×D292C2411yescharacteristic
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—21no—
559C2×C22⋊D73—21no—
560C2×C22⋊D73—21no—
561C2×C22⋊D73—21no—
562C2×C22⋊D73—21no—
563C2×C22⋊D73—21no—
564C2×C22⋊D73—21no—
565C2×C22⋊D73—21no—
566C2×C22⋊D73—21no—
567C2×C22⋊D73—21no—
568C2×C22⋊D73—21no—
569C2×C22⋊D73—44no—
570C2×C22⋊D73—82no—
571C2×C22⋊D73C2×D411yescharacteristic
572C2×C22⋊D73C2×D411yescharacteristic
573C2×C22⋊D73C2×D411yescharacteristic
574C2×C22⋊D73C2×D411yescharacteristic
575D4×D73—22no—
576D4×D73—22no—
577D4×D73—22no—
578D4×D73—22no—
579D4×D73—22no—
580D4×D73—41no—
581D4×D73—41no—
582D4×D73—41no—
583D4×D73—41no—
584D4×D73—41no—
585D4×D73—41no—
586D4×D73—41no—
587D4×D73—41no—
588D4×D73—41no—
589D4×D73—44no—
590D4×D73—44no—
591D4×D73—44no—
592D4×D73—44no—
593D4×D73—82no—
594D4×D73—82no—
595D4×D73—82no—
596D4×D73—82no—
597D4×D73—82no—
598D4×D73—82no—
599C22×Dic73—21no—
600C22×Dic73C2×D411yescharacteristic
601C2×C4×D73—21no—
602C2×C4×D73—21no—
603C2×C4×D73—21no—
604C2×C4×D73—21no—
605C2×C4×D73—21no—
606C2×C4×D73—21no—
607C2×C4×D73—21no—
608C2×C4×D73—21no—
609C2×C4×D73—41no—
610C2×C4×D73—41no—
611C2×C4×D73C2×D411yescharacteristic
612C2×C4×D73C2×D411yescharacteristic
613C2×C4×D73C2411yescharacteristic
614C2×C4×D73C2411yescharacteristic
615C2×C4×D73C2411yescharacteristic
616#11924015—41no—
617#11924015—41no—
618#11924015—41no—
619D584—22no—
620D584—22no—
621D584—22no—
622D584—41no—
623D584—41no—
624D584—41no—
625D584—41no—
626D584—41no—
627D584—41no—
628#11924013—22no—
629#11924013—22no—
630#11924013—22no—
631#11924013—22no—
632#11924013—41no—
633#11924013—41no—
634#11924013—41no—
635#11924013—41no—
636#11924013—41no—
637#11924012—41no—
638#11924011—41no—
639C2×#10596831—41no—
640C2×#10596831C2411yescharacteristic
641C2×#10596831C2411yescharacteristic
642C2×#10596831C2411yescharacteristic
643C2×#10596831C2411yescharacteristic
644C8×D73—41no—
645C8×D73—41no—
646C8×D73—41no—
647C4⋊Dic73—21no—
648C4⋊Dic73C2×D411yescharacteristic
649C4⋊Dic73C2411yescharacteristic
650C4⋊Dic73C2411yescharacteristic
651#11924007—21no—
652#11924007—21no—
653#11924007—21no—
654#11924007C2×D411yescharacteristic
655#11924007C2×D411yescharacteristic
656#11924007C2×D411yescharacteristic
657#11924007C2×D411yescharacteristic
658C22⋊Dic73—21no—
659C22⋊Dic73—21no—
660C22⋊Dic73—21no—
661C22⋊Dic73C2×D411yescharacteristic
662C22⋊Dic73C2×D411yescharacteristic
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#11924005—21no—
683#11924005—21no—
684#11924005—21no—
685#11924005—21no—
686#11924005C2×D411yescharacteristic
687#11924005C2×D411yescharacteristic
688#11924005C2×D411yescharacteristic
689#11924005C2×D411yescharacteristic
690#11924005C2×D411yescharacteristic
691#11924005C2×D411yescharacteristic
692C4×Dic73—21no—
693C4×Dic73—21no—
694C4×Dic73C2411yescharacteristic
695C24×C73—21no—
696#41×C73—22no—
697#41×C73—41no—
698C2×Q8×C73C2411yescharacteristic
699C2×D4×C73—22no—
700C2×D4×C73—21no—
701C2×D4×C73—21no—
702C2×D4×C73—21no—
703C2×D4×C73—21no—
704C2×D4×C73—21no—
705C2×D4×C73—41no—
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×C73—21no—
714C22×C4×C73C2411yescharacteristic
715C22×C4×C73C2411yescharacteristic
716SD16×C73—41no—
717D8×C73—22no—
718D8×C73—41no—
719C2×C8×C73—41no—
720C2×C8×C73—41no—
721C2×C8×C73C2411yescharacteristic
722C2×C8×C73C2411yescharacteristic
723C2×C8×C73C2411yescharacteristic
724C2×C8×C73C2411yescharacteristic
725C4⋊C4×C73—21no—
726C4⋊C4×C73—21no—
727C4⋊C4×C73—21no—
728C4⋊C4×C73—21no—
729C4⋊C4×C73C2×D411yescharacteristic
730C4⋊C4×C73C2411yescharacteristic
731C4⋊C4×C73C2411yescharacteristic
732C4⋊C4×C73C2411yescharacteristic
733C4⋊C4×C73C2411yescharacteristic
734C22⋊C4×C73—21no—
735C22⋊C4×C73—21no—
736C22⋊C4×C73—21no—
737C22⋊C4×C73—21no—
738C22⋊C4×C73—21no—
739C22⋊C4×C73—21no—
740C22⋊C4×C73—21no—
741C22⋊C4×C73—21no—
742C22⋊C4×C73—21no—
743C22⋊C4×C73C2×D411yescharacteristic
744C22⋊C4×C73C2×D411yescharacteristic
745C42×C73—21no—
746C42×C73C2411yescharacteristic
747C23×C73—21no—
748C23×C73—21no—
749C23×C73—21no—
750C23×C73—42no—
751C23×C73—42no—
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—21no—
763C22×D73—21no—
764C22×D73—41no—
765C22×D73—42no—
766C22×D73—42no—
767C22×D73—42no—
768C22×D73—42no—
769C22×D73—42no—
770C22×D73—42no—
771C22×D73—42no—
772C22×D73—42no—
773C22×D73—42no—
774C22×D73—42no—
775C22×D73—42no—
776C22×D73—81no—
777C22×D73—81no—
778C22×D73—81no—
779C22×D73—81no—
780C22×D73—81no—
781C22×D73—81no—
782C22×D73—81no—
783C22×D73—81no—
784C22×D73—81no—
785C22×D73—81no—
786C22×D73—81no—
787C22×D73—81no—
788C22×D73—81no—
789C22×D73—81no—
790C22×D73—81no—
791C22×D73—81no—
792C22×D73—81no—
793C22×D73—81no—
794C22×D73—81no—
795C22×D73—81no—
796C22×D73—81no—
797C22×D73—816no—
798C22×D73C22×D411yescharacteristic
799C22×D73C22×D411yescharacteristic
800C22×D73C22×D411yescharacteristic
801Q8×C73—21no—
802Q8×C73—21no—
803D4×C73—22no—
804D4×C73—21no—
805D4×C73—21no—
806D4×C73—21no—
807D4×C73—21no—
808D4×C73—21no—
809D4×C73—42no—
810D4×C73—42no—
811D4×C73—42no—
812D4×C73—81no—
813D4×C73—81no—
814D4×C73H(5,𝔽2)12yes—
815C2×C4×C73—21no—
816C2×C4×C73—21no—
817C2×C4×C73—21no—
818C2×C4×C73—21no—
819C2×C4×C73—21no—
820C2×C4×C73—21no—
821C2×C4×C73—21no—
822C2×C4×C73—21no—
823C2×C4×C73—21no—
824C2×C4×C73—42no—
825C2×C4×C73—81no—
826C2×C4×C73—81no—
827C2×C4×C73—81no—
828C2×C4×C73C22×D411yescharacteristic
829C2×C4×C73C22×D411yescharacteristic
830C2×C4×C73C22×D411yescharacteristic
831C2×C4×C73C22×D411yescharacteristic
832C2×C4×C73C2511yescharacteristic
833C22⋊D73—24no—
834C22⋊D73—22no—
835C22⋊D73—22no—
836C22⋊D73—41no—
837C22⋊D73—41no—
838C22⋊D73—42no—
839C22⋊D73—42no—
840C22⋊D73—42no—
841C22⋊D73—42no—
842C22⋊D73—42no—
843C22⋊D73—42no—
844C22⋊D73—81no—
845C22⋊D73—81no—
846C22⋊D73—81no—
847C22⋊D73—81no—
848C22⋊D73—81no—
849C22⋊D73—81no—
850C22⋊D73—81no—
851C22⋊D73—81no—
852C22⋊D73—81no—
853C22⋊D73—81no—
854C2×Dic73—21no—
855C2×Dic73—21no—
856C2×Dic73—41no—
857C2×Dic73—81no—
858C2×Dic73C22×D411yescharacteristic
859C2×Dic73C22×D411yescharacteristic
860C2×Dic73C22×D411yescharacteristic
861C2×Dic73C22×D411yescharacteristic
862C2×Dic73C22×D411yescharacteristic
863D292—22no—
864D292—21no—
865D292—21no—
866D292—21no—
867D292—21no—
868D292—21no—
869D292—21no—
870D292—21no—
871D292—21no—
872D292—21no—
873D292—21no—
874D292—21no—
875D292—41no—
876D292—42no—
877D292—42no—
878D292—42no—
879D292—42no—
880D292—42no—
881D292—42no—
882D292—42no—
883D292—81no—
884D292—81no—
885D292—81no—
886D292—81no—
887D292—81no—
888D292—81no—
889D292—81no—
890D292—81no—
891D292—81no—
892D292—81no—
893D292—81no—
894D292—81no—
895D292H(5,𝔽2)12yes—
896C4×D73—21no—
897C4×D73—21no—
898C4×D73—21no—
899C4×D73—21no—
900C4×D73—21no—
901C4×D73—21no—
902C4×D73—41no—
903C4×D73—41no—
904C4×D73—42no—
905C4×D73—42no—
906C4×D73—81no—
907C4×D73—81no—
908C4×D73—81no—
909C4×D73—81no—
910C4×D73—81no—
911C4×D73—81no—
912Dic146—41no—
913C8×C73—21no—
914C8×C73—21no—
915C8×C73—21no—
916C8×C73—21no—
917#10596831—21no—
918#10596831—21no—
919#10596831—21no—
920#10596831—21no—
921C22×C73—21no—
922C22×C73—21no—
923C22×C73—22no—
924C22×C73—21no—
925C22×C73—21no—
926C22×C73—21no—
927C22×C73—41no—
928C22×C73—41no—
929C22×C73—41no—
930C22×C73—41no—
931C22×C73—41no—
932C22×C73—41no—
933C22×C73—41no—
934C22×C73—41no—
935C22×C73—84no—
936C22×C73#57612yes—
937C22×C73C23×D411yescharacteristic
938C2×D73—21no—
939C2×D73—21no—
940C2×D73—21no—
941C2×D73—21no—
942C2×D73—22no—
943C2×D73—21no—
944C2×D73—21no—
945C2×D73—21no—
946C2×D73—21no—
947C2×D73—44no—
948C2×D73—41no—
949C2×D73—41no—
950C2×D73—41no—
951C2×D73—41no—
952C2×D73—41no—
953C2×D73—41no—
954C2×D73—41no—
955C2×D73—41no—
956C2×D73—41no—
957C2×D73—41no—
958C2×D73—41no—
959C2×D73—41no—
960C2×D73—41no—
961C2×D73—41no—
962C2×D73—41no—
963C2×D73—41no—
964C2×D73—41no—
965C2×D73—84no—
966C2×D73—84no—
967C2×D73—84no—
968C2×D73—84no—
969C2×D73—84no—
970C2×D73—162no—
971C2×D73—162no—
972C2×D73—162no—
973C2×D73—162no—
974C2×D73—162no—
975C2×D73—162no—
976C2×D73#57612yes—
977C4×C73—21no—
978C4×C73—21no—
979C4×C73—21no—
980C4×C73—21no—
981C4×C73—41no—
982C4×C73—41no—
983C4×C73—41no—
984C4×C73—41no—
985C4×C73—41no—
986C4×C73C2×H(5,𝔽2)11yescharacteristic
987C4×C73C2×H(5,𝔽2)11yescharacteristic
988Dic73—21no—
989Dic73—21no—
990Dic73—21no—
991Dic73—21no—
992Dic73—21no—
993Dic73—41no—
994Dic73—41no—
995#61630—731nomaximal, Sylow
996C2×C73—22no—
997C2×C73—42no—
998C2×C73—41no—
999C2×C73—81no—
1000C2×C73—81no—
1001C2×C73#348411yescharacteristic
1002C2×C73C2×#57611yescharacteristic
1003C2×C73C2×#57611yescharacteristic
1004D73—22no—
1005D73—41no—
1006D73—41no—
1007D73—42no—
1008D73—81no—
1009D73—81no—
1010D73—81no—
1011D73—81no—
1012D73—81no—
1013#3537—731no—
1014#3484—731no—
1015#3318—731no—
1016#3318—731no—
1017#3318—731no—
1018#3318—731no—
1019#3297—731no—
1020#3297—731no—
1021#3297—731no—
1022#3297D7311yescharacteristic, complemented
1023D4×D8—731no—
1024D4×D8—731no—
1025D4×D8—731no—
1026D4×D8—731no—
1027#3264—731no—
1028#3264—731no—
1029#3264—731no—
1030#3264—731no—
1031#3220—731no—
1032#3220—731no—
1033#3199—731no—
1034#3199—731no—
1035#3188—731no—
1036#3188—731no—
1037#3122—731no—
1038#3122—731no—
1039#3008—731no—
1040#3008—731no—
1041C2×#447—731no—
1042C2×#447—731no—
1043#2977—731no—
1044C73#6163011yescharacteristic, complemented, Sylow
1045C2×H(5,𝔽2)—731no—
1046C23×D4—731no—
1047C2×AGL(1,ℤ/8)—731no—
1048C2×AGL(1,ℤ/8)—731no—
1049C22×D8—731no—
1050C22×D8—731no—
1051C22×D8—731no—
1052C22×D8—731no—
1053C22×D8—731no—
1054C22×D8—731no—
1055#560—1461no—
1056#560—1461no—
1057#553—731no—
1058#553—731no—
1059#553—731no—
1060#553C2×D7311yescharacteristic, complemented
1061#546—731no—
1062#546—731no—
1063#546—731no—
1064#546—1461no—
1065#546—1461no—
1066#546C2×D7311yescharacteristic, complemented
1067D42—731no—
1068D42—731no—
1069D42—731no—
1070D42—731no—
1071D42—731no—
1072D42—731no—
1073D42—731no—
1074D42—731no—
1075D42—1461no—
1076D42—1461no—
1077D42—1461no—
1078D42—1461no—
1079#540—731no—
1080#540—731no—
1081#538—1461no—
1082#538—1461no—
1083#535—731no—
1084#535—731no—
1085#535—731no—
1086#535—731no—
1087#534—1461no—
1088#534—1461no—
1089#534—1461no—
1090#534—1461no—
1091#525—731no—
1092#525—731no—
1093C2×#121—731no—
1094C2×#121—731no—
1095C2×#120—1461no—
1096C2×#120—1461no—
1097#518—731no—
1098#496—731no—
1099#496—731no—
1100#493—731no—
1101#493—731no—
1102#490—731no—
1103#490—731no—
1104#488—731no—
1105#488C2×D7311yescharacteristic, complemented
1106#484—731no—
1107#484C2×D7311yescharacteristic, complemented
1108#482—731no—
1109#482—731no—
1110#482—731no—
1111#482—731no—
1112#482—731no—
1113#482—731no—
1114#482—731no—
1115#482C2×D7311yescharacteristic, complemented
1116#481—731no—
1117#481—731no—
1118#478—731no—
1119#478—731no—
1120#478—731no—
1121#478C2×D7311yescharacteristic, complemented
1122#469—731no—
1123#469—731no—
1124#469—731no—
1125#469—731no—
1126#466—731no—
1127#466—731no—
1128#466—731no—
1129#466—731no—
1130#466—731no—
1131#466—731no—
1132#466—731no—
1133#466C2×D7311yescharacteristic, complemented
1134#465—731no—
1135#465—731no—
1136#465—731no—
1137#465C2×D7311yescharacteristic, complemented
1138#463—731no—
1139#463—731no—
1140#463—731no—
1141#463C2×D7311yescharacteristic, complemented
1142#459—731no—
1143#459—731no—
1144#459—731no—
1145#459—731no—
1146#459—731no—
1147#459—731no—
1148#459—731no—
1149#459—731no—
1150#450—731no—
1151#450—731no—
1152#449—731no—
1153#449—731no—
1154#449—731no—
1155#449—731no—
1156#449—731no—
1157#449—731no—
1158#449—731no—
1159#449C2×D7311yescharacteristic, complemented
1160#447—731no—
1161#447—731no—
1162#447—731no—
1163#447—731no—
1164#447—731no—
1165#447—731no—
1166#447—731no—
1167#447—731no—
1168#447—731no—
1169#447—731no—
1170#447—731no—
1171#447—731no—
1172#447—731no—
1173#447—731no—
1174#447—731no—
1175#447—731no—
1176#447—731no—
1177#447—731no—
1178#447—731no—
1179#447—731no—
1180#447—731no—
1181#447—731no—
1182#447—731no—
1183#447—731no—
1184#447—731no—
1185#447C2×D7311yescharacteristic, complemented
1186#442—731no—
1187#442—731no—
1188#442—731no—
1189#442—731no—
1190C4×D8—731no—
1191C4×D8—731no—
1192C4×D8—731no—
1193C4×D8C2×D7311yescharacteristic, complemented
1194#435—731no—
1195#435—731no—
1196#435—731no—
1197#435—731no—
1198C8×D4—731no—
1199C8×D4—731no—
1200C8×D4—731no—
1201C8×D4C2×D7311yescharacteristic, complemented
1202#433—731no—
1203#433—731no—
1204#418—731no—
1205#418—731no—
1206#416—731no—
1207#416C2×D7311yescharacteristic, complemented
1208C2×#102—731no—
1209C2×#102—731no—
1210C2×#102—731no—
1211C2×#102C2×D7311yescharacteristic, complemented
1212#408—731no—
1213#408—731no—
1214C2×C22⋊C8—731no—
1215C2×C22⋊C8—731no—
1216C25—1461no—
1217H(5,𝔽2)—2922no—
1218H(5,𝔽2)—2922no—
1219C2×#41—731no—
1220C2×#41—731no—
1221C2×#41—731no—
1222C2×#41—1461no—
1223C2×#41C22×D7311yescharacteristic
1224C22×D4—2922no—
1225C22×D4—2922no—
1226C22×D4—731no—
1227C22×D4—731no—
1228C22×D4—731no—
1229C22×D4—731no—
1230C22×D4—731no—
1231C22×D4—731no—
1232C22×D4—731no—
1233C22×D4—731no—
1234C22×D4—731no—
1235C22×D4—731no—
1236C22×D4—731no—
1237C22×D4—1461no—
1238C22×D4—1461no—
1239C22×D4—1461no—
1240C22×D4—1461no—
1241C22×D4—1461no—
1242C22×D4—1461no—
1243C22×D4—1461no—
1244C22×D4—1461no—
1245C22×D4—1461no—
1246C22×D4—1461no—
1247C22×D4—1461no—
1248C22×D4—1461no—
1249C22×D4—1461no—
1250C22×D4—1461no—
1251C22×D4—1461no—
1252C22×D4—1461no—
1253C22×D4C22×D7311yescharacteristic
1254C23×C4—731no—
1255AGL(1,ℤ/8)—2922no—
1256AGL(1,ℤ/8)—2922no—
1257C2×SD16—731no—
1258C2×SD16—731no—
1259C2×SD16—731no—
1260C2×SD16C22×D7311yescharacteristic, complemented
1261C2×D8—2922no—
1262C2×D8—2922no—
1263C2×D8—2922no—
1264C2×D8—2922no—
1265C2×D8—2922no—
1266C2×D8—2922no—
1267C2×D8—731no—
1268C2×D8—731no—
1269C2×D8—731no—
1270C2×D8—731no—
1271C2×D8—731no—
1272C2×D8—731no—
1273C2×D8—731no—
1274C2×D8—731no—
1275C2×D8—731no—
1276C2×D8—731no—
1277C2×D8—731no—
1278C2×D8—731no—
1279C2×D8—731no—
1280C2×D8—731no—
1281C2×D8—731no—
1282C2×D8—731no—
1283C2×D8—731no—
1284C2×D8—731no—
1285C2×D8C22×D7311yescharacteristic
1286C2×D8C22×D7311yescharacteristic
1287C2×M16—731no—
1288C2×M16—731no—
1289C22×C8—731no—
1290C22×C8—731no—
1291C22×C8—731no—
1292C22×C8—731no—
1293C22×C8C22×D7311yescharacteristic
1294C22×C8C22×D7311yescharacteristic, complemented
1295#127—731no—
1296#127—731no—
1297#127—731no—
1298#127—731no—
1299#127—1461no—
1300#127—1461no—
1301#127—1461no—
1302#126—21no—
1303#126—1461no—
1304#126—1461no—
1305#126—1461no—
1306#125—731no—
1307#125C22×D7311yescharacteristic, complemented
1308#124—731no—
1309#124—1461no—
1310#124—1461no—
1311#124—1461no—
1312#124C22×D7311yescharacteristic
1313#123—21no—
1314#123—21no—
1315#123—731no—
1316#123—731no—
1317#123—1461no—
1318#123—1461no—
1319#123—1461no—
1320#123—1461no—
1321#123—1461no—
1322#123—1461no—
1323#123—1461no—
1324#123—1461no—
1325#123—1461no—
1326#123—1461no—
1327#123—1461no—
1328C22⋊Q8—731no—
1329C22⋊Q8—731no—
1330C22⋊Q8—731no—
1331C22⋊Q8C22×D7311yescharacteristic
1332#121—21no—
1333#121—21no—
1334#121—731no—
1335#121—731no—
1336#121—731no—
1337#121—731no—
1338#121—731no—
1339#121—731no—
1340#121—731no—
1341#121—731no—
1342#121—731no—
1343#121—731no—
1344#121—731no—
1345#121—731no—
1346#121—731no—
1347#121—731no—
1348#121—731no—
1349#121—731no—
1350#121—731no—
1351#121—1461no—
1352#121—1461no—
1353#121—1461no—
1354#121—1461no—
1355#121—1461no—
1356#121—1461no—
1357#121—1461no—
1358#121—1461no—
1359#121—1461no—
1360#121—1461no—
1361#121—1461no—
1362#121—1461no—
1363#121—1461no—
1364#121—1461no—
1365#121—1461no—
1366#121—1461no—
1367#121—1461no—
1368#121—1461no—
1369#121—1461no—
1370#121—1461no—
1371#121—1461no—
1372#121—1461no—
1373#121—1461no—
1374#121—1461no—
1375#121C22×D7311yescharacteristic
1376#121C22×D7311yescharacteristic
1377#121C22×D7311yescharacteristic, complemented
1378#120—21no—
1379#120—731no—
1380#120—731no—
1381#120—1461no—
1382#120—1461no—
1383#120—1461no—
1384#120—1461no—
1385#120—1461no—
1386#120—1461no—
1387#120—1461no—
1388#120—1461no—
1389#120—1461no—
1390#120—1461no—
1391#120—1461no—
1392#120—1461no—
1393#120—1461no—
1394#120—1461no—
1395#120—1461no—
1396#120—1461no—
1397#120—1461no—
1398#120—1461no—
1399#120—1461no—
1400#120—1461no—
1401#120—1461no—
1402#120—1461no—
1403#120—1461no—
1404#120—1461no—
1405#120—1461no—
1406#120—1461no—
1407#120—1461no—
1408#120—1461no—
1409C4×D4—21no—
1410C4×D4—731no—
1411C4×D4—731no—
1412C4×D4—731no—
1413C4×D4—731no—
1414C4×D4—731no—
1415C4×D4—731no—
1416C4×D4—731no—
1417C4×D4—731no—
1418C4×D4—731no—
1419C4×D4—1461no—
1420C4×D4—1461no—
1421C4×D4—1461no—
1422C4×D4—1461no—
1423C4×D4—1461no—
1424C4×D4—1461no—
1425C4×D4—1461no—
1426C4×D4C22×D7311yescharacteristic
1427C4×D4C22×D7311yescharacteristic
1428C4×D4C22×D7311yescharacteristic, complemented
1429#117—731no—
1430#117—731no—
1431#117—731no—
1432#117C22×D7311yescharacteristic, complemented
1433C2×C4⋊C4—731no—
1434C2×C4⋊C4C22×D7311yescharacteristic
1435C2×C22⋊C4—21no—
1436C2×C22⋊C4—1461no—
1437C2×C22⋊C4—1461no—
1438C2×C22⋊C4—1461no—
1439C2×C22⋊C4—1461no—
1440C2×C22⋊C4—1461no—
1441C2×C22⋊C4—1461no—
1442C2×C22⋊C4—1461no—
1443#107—731no—
1444#107—731no—
1445#107C22×D7311yescharacteristic, complemented
1446#107C22×D7311yescharacteristic, complemented
1447#106—731no—
1448#106—731no—
1449#106—731no—
1450#106C22×D7311yescharacteristic, complemented
1451C4⋊C8—731no—
1452C4⋊C8—731no—
1453C4⋊C8—731no—
1454C4⋊C8C22×D7311yescharacteristic, complemented
1455#103—731no—
1456#103C22×D7311yescharacteristic, complemented
1457#103C22×D7311yescharacteristic, complemented
1458#103C22×D7311yescharacteristic, complemented
1459#102—731no—
1460#102—731no—
1461#102—731no—
1462#102—731no—
1463#102—731no—
1464#102—731no—
1465#102—731no—
1466#102—731no—
1467#102—731no—
1468#102—731no—
1469#102—731no—
1470#102—731no—
1471#102—731no—
1472#102—731no—
1473#102—731no—
1474#102—731no—
1475#102—731no—
1476#102—731no—
1477#102—731no—
1478#102—731no—
1479#102—731no—
1480#102C22×D7311yescharacteristic
1481#102C22×D7311yescharacteristic
1482#102C22×D7311yescharacteristic
1483#102C22×D7311yescharacteristic
1484#102C22×D7311yescharacteristic
1485#102C22×D7311yescharacteristic
1486#102C22×D7311yescharacteristic, complemented
1487C22⋊C8—731no—
1488C22⋊C8—731no—
1489C22⋊C8—731no—
1490C22⋊C8—731no—
1491C22⋊C8—731no—
1492C22⋊C8—731no—
1493C22⋊C8—731no—
1494C22⋊C8—731no—
1495C22⋊C8—731no—
1496C22⋊C8—731no—
1497C22⋊C8C22×D7311yescharacteristic
1498C22⋊C8C22×D7311yescharacteristic, complemented
1499#97—731no—
1500#97—731no—
1501C4×C8—731no—
1502C4×C8C22×D7311yescharacteristic, complemented
1503C24—21no—
1504C24—2924no—
1505C24—5842no—
1506C24—5842no—
1507C24—731no—
1508C24—1461no—
1509C24—1461no—
1510C24—1461no—
1511C24—1461no—
1512C24—1461no—
1513C24—1461no—
1514C24—1461no—
1515C24—1461no—
1516C24—1461no—
1517C24—1461no—
1518C24—1461no—
1519#41—22no—
1520#41—41no—
1521#41—2921no—
1522#41—2921no—
1523#41—2924no—
1524#41—2921no—
1525#41—2921no—
1526#41—2921no—
1527#41—1462no—
1528C2×Q8—731no—
1529C2×Q8C23×D7311yescharacteristic
1530C2×D4—22no—
1531C2×D4—21no—
1532C2×D4—21no—
1533C2×D4—21no—
1534C2×D4—21no—
1535C2×D4—21no—
1536C2×D4—41no—
1537C2×D4—2921no—
1538C2×D4—2921no—
1539C2×D4—2921no—
1540C2×D4—2921no—
1541C2×D4—2921no—
1542C2×D4—2921no—
1543C2×D4—2924no—
1544C2×D4—2924no—
1545C2×D4—2924no—
1546C2×D4—2924no—
1547C2×D4—2924no—
1548C2×D4—2924no—
1549C2×D4—2921no—
1550C2×D4—2921no—
1551C2×D4—2921no—
1552C2×D4—2921no—
1553C2×D4—2921no—
1554C2×D4—2921no—
1555C2×D4—2921no—
1556C2×D4—2921no—
1557C2×D4—2921no—
1558C2×D4—5842no—
1559C2×D4—5842no—
1560C2×D4—5842no—
1561C2×D4—5842no—
1562C2×D4—5842no—
1563C2×D4—5842no—
1564C2×D4—5842no—
1565C2×D4—5842no—
1566C2×D4—5842no—
1567C2×D4—5842no—
1568C2×D4—731no—
1569C2×D4—731no—
1570C2×D4—731no—
1571C2×D4—731no—
1572C2×D4—731no—
1573C2×D4—731no—
1574C2×D4—731no—
1575C2×D4—731no—
1576C2×D4—731no—
1577C2×D4—731no—
1578C2×D4—731no—
1579C2×D4—731no—
1580C2×D4—1461no—
1581C2×D4—1461no—
1582C2×D4—1461no—
1583C2×D4—1461no—
1584C2×D4—1461no—
1585C2×D4—1462no—
1586C2×D4—1462no—
1587C2×D4—1461no—
1588C2×D4—1461no—
1589C2×D4—1461no—
1590C2×D4—1461no—
1591C2×D4—1461no—
1592C2×D4—1461no—
1593C2×D4—1461no—
1594C2×D4—1461no—
1595C2×D4—1461no—
1596C2×D4—1461no—
1597C2×D4—1461no—
1598C2×D4—1461no—
1599C2×D4—1461no—
1600C2×D4—1461no—
1601C2×D4—1461no—
1602C2×D4—1461no—
1603C2×D4—1461no—
1604C2×D4—1462no—
1605C2×D4—1462no—
1606C2×D4—1461no—
1607C2×D4—1461no—
1608C2×D4—1462no—
1609C2×D4—1462no—
1610C2×D4—1461no—
1611C2×D4—1461no—
1612C2×D4—1461no—
1613C2×D4—1461no—
1614C2×D4—1462no—
1615C2×D4—1461no—
1616C2×D4—1461no—
1617C2×D4—1461no—
1618C2×D4—1461no—
1619C2×D4—1461no—
1620C2×D4—1461no—
1621C2×D4—1461no—
1622C2×D4—1461no—
1623C2×D4D4×D7311yescharacteristic
1624C2×D4C23×D7311yescharacteristic
1625C2×D4C23×D7311yescharacteristic
1626C2×D4C23×D7311yescharacteristic
1627C22×C4—21no—
1628C22×C4—21no—
1629C22×C4—21no—
1630C22×C4—21no—
1631C22×C4—2921no—
1632C22×C4—2921no—
1633C22×C4—731no—
1634C22×C4—731no—
1635C22×C4—731no—
1636C22×C4—731no—
1637C22×C4—731no—
1638C22×C4—731no—
1639C22×C4—1461no—
1640C22×C4—1461no—
1641C22×C4—1461no—
1642C22×C4—1461no—
1643C22×C4—1461no—
1644C22×C4—1461no—
1645C22×C4—1461no—
1646C22×C4—1461no—
1647C22×C4—1461no—
1648C22×C4C23×D7311yescharacteristic
1649C22×C4C23×D7311yescharacteristic
1650SD16—41no—
1651SD16—2921no—
1652SD16—2921no—
1653SD16—2921no—
1654D8—22no—
1655D8—41no—
1656D8—2921no—
1657D8—2921no—
1658D8—2921no—
1659D8—2921no—
1660D8—2921no—
1661D8—2921no—
1662D8—2921no—
1663D8—2921no—
1664D8—2921no—
1665D8—2921no—
1666D8—2921no—
1667D8—1462no—
1668D8—1462no—
1669D8—1462no—
1670D8—1462no—
1671D8—1462no—
1672D8—1462no—
1673D8—1462no—
1674M16—2921no—
1675M16—2921no—
1676C2×C8—41no—
1677C2×C8—41no—
1678C2×C8—2921no—
1679C2×C8—2921no—
1680C2×C8—2921no—
1681C2×C8—2921no—
1682C2×C8—731no—
1683C2×C8—731no—
1684C2×C8—731no—
1685C2×C8—731no—
1686C2×C8C23×D7311yescharacteristic
1687C2×C8C23×D7311yescharacteristic
1688C2×C8C23×D7311yescharacteristic
1689C2×C8C23×D7311yescharacteristic
1690C4⋊C4—21no—
1691C4⋊C4—21no—
1692C4⋊C4—21no—
1693C4⋊C4—21no—
1694C4⋊C4—731no—
1695C4⋊C4—731no—
1696C4⋊C4—731no—
1697C4⋊C4—731no—
1698C4⋊C4—731no—
1699C4⋊C4—731no—
1700C4⋊C4—731no—
1701C4⋊C4—1461no—
1702C4⋊C4—1461no—
1703C4⋊C4—1461no—
1704C4⋊C4—1461no—
1705C4⋊C4D4×D7311yescharacteristic
1706C4⋊C4C23×D7311yescharacteristic
1707C4⋊C4C23×D7311yescharacteristic
1708C4⋊C4C23×D7311yescharacteristic
1709C4⋊C4C23×D7311yescharacteristic
1710C22⋊C4—21no—
1711C22⋊C4—21no—
1712C22⋊C4—21no—
1713C22⋊C4—21no—
1714C22⋊C4—21no—
1715C22⋊C4—21no—
1716C22⋊C4—21no—
1717C22⋊C4—21no—
1718C22⋊C4—21no—
1719C22⋊C4—731no—
1720C22⋊C4—731no—
1721C22⋊C4—731no—
1722C22⋊C4—731no—
1723C22⋊C4—731no—
1724C22⋊C4—731no—
1725C22⋊C4—731no—
1726C22⋊C4—731no—
1727C22⋊C4—1461no—
1728C22⋊C4—1461no—
1729C22⋊C4—1461no—
1730C22⋊C4—1461no—
1731C22⋊C4—1461no—
1732C22⋊C4—1461no—
1733C22⋊C4—1461no—
1734C22⋊C4—1461no—
1735C22⋊C4—1461no—
1736C22⋊C4—1461no—
1737C22⋊C4—1461no—
1738C22⋊C4—1461no—
1739C22⋊C4—1461no—
1740C22⋊C4—1461no—
1741C22⋊C4—1461no—
1742C22⋊C4—1461no—
1743C22⋊C4—1461no—
1744C22⋊C4—1461no—
1745C22⋊C4—1461no—
1746C22⋊C4—1461no—
1747C22⋊C4—1461no—
1748C22⋊C4—1461no—
1749C22⋊C4—1461no—
1750C22⋊C4—1461no—
1751C22⋊C4—1461no—
1752C22⋊C4—1461no—
1753C22⋊C4D4×D7311yescharacteristic
1754C22⋊C4D4×D7311yescharacteristic
1755C42—21no—
1756C42—731no—
1757C42—1461no—
1758C42—1461no—
1759C42C23×D7311yescharacteristic
1760C23—21no—
1761C23—21no—
1762C23—21no—
1763C23—42no—
1764C23—42no—
1765C23—81no—
1766C23—2921no—
1767C23—2922no—
1768C23—2922no—
1769C23—2922no—
1770C23—2922no—
1771C23—2922no—
1772C23—2922no—
1773C23—2922no—
1774C23—2922no—
1775C23—2922no—
1776C23—2922no—
1777C23—2922no—
1778C23—5841no—
1779C23—5841no—
1780C23—5841no—
1781C23—5841no—
1782C23—5841no—
1783C23—5841no—
1784C23—5841no—
1785C23—5841no—
1786C23—5841no—
1787C23—5841no—
1788C23—5841no—
1789C23—5841no—
1790C23—5841no—
1791C23—5841no—
1792C23—5841no—
1793C23—5841no—
1794C23—5841no—
1795C23—5841no—
1796C23—5841no—
1797C23—5841no—
1798C23—5841no—
1799C23—58416no—
1800C23—731no—
1801C23—731no—
1802C23—731no—
1803C23—1462no—
1804C23—1464no—
1805C23—1461no—
1806C23—1461no—
1807C23—1461no—
1808C23—1461no—
1809C23—1461no—
1810C23—1462no—
1811C23—1461no—
1812C23C2×D4×D7311yescharacteristic
1813C23C2×D4×D7311yescharacteristic
1814Q8—21no—
1815Q8—21no—
1816Q8—2921no—
1817D4—22no—
1818D4—21no—
1819D4—21no—
1820D4—21no—
1821D4—21no—
1822D4—21no—
1823D4—42no—
1824D4—42no—
1825D4—42no—
1826D4—81no—
1827D4—81no—
1828D4—2922no—
1829D4—2922no—
1830D4—2921no—
1831D4—2922no—
1832D4—2922no—
1833D4—2922no—
1834D4—2922no—
1835D4—2922no—
1836D4—2922no—
1837D4—2922no—
1838D4—2922no—
1839D4—2922no—
1840D4—2921no—
1841D4—2921no—
1842D4—2922no—
1843D4—2922no—
1844D4—5841no—
1845D4—5841no—
1846D4—5841no—
1847D4—5841no—
1848D4—5841no—
1849D4—5841no—
1850D4—5841no—
1851D4—5841no—
1852D4—5841no—
1853D4—5841no—
1854D4—5841no—
1855D4—5841no—
1856D4—5841no—
1857D4—5841no—
1858D4—5841no—
1859D4—5841no—
1860D4—5841no—
1861D4—5841no—
1862D4—5841no—
1863D4—5841no—
1864D4—5841no—
1865D4—5841no—
1866D4—732no—
1867D4—1462no—
1868D4—1462no—
1869D4—1464no—
1870D4—1462no—
1871D4—1461no—
1872D4—1461no—
1873D4—1461no—
1874D4—1461no—
1875D4—1461no—
1876D4—1461no—
1877D4—1461no—
1878D4—1461no—
1879D4—1461no—
1880D4—1461no—
1881D4—1461no—
1882D4#1455663712yes—
1883C2×C4—21no—
1884C2×C4—21no—
1885C2×C4—21no—
1886C2×C4—21no—
1887C2×C4—21no—
1888C2×C4—21no—
1889C2×C4—21no—
1890C2×C4—21no—
1891C2×C4—21no—
1892C2×C4—42no—
1893C2×C4—81no—
1894C2×C4—81no—
1895C2×C4—81no—
1896C2×C4—2921no—
1897C2×C4—2921no—
1898C2×C4—2922no—
1899C2×C4—2922no—
1900C2×C4—2921no—
1901C2×C4—5841no—
1902C2×C4—5841no—
1903C2×C4—5841no—
1904C2×C4—5841no—
1905C2×C4—5841no—
1906C2×C4—5841no—
1907C2×C4—5841no—
1908C2×C4—731no—
1909C2×C4—731no—
1910C2×C4—731no—
1911C2×C4—731no—
1912C2×C4—731no—
1913C2×C4—1461no—
1914C2×C4—1461no—
1915C2×C4—1461no—
1916C2×C4—1461no—
1917C2×C4—1461no—
1918C2×C4—1461no—
1919C2×C4—1461no—
1920C2×C4—1461no—
1921C2×C4C2×D4×D7311yescharacteristic
1922C2×C4C2×D4×D7311yescharacteristic
1923C2×C4C2×D4×D7311yescharacteristic
1924C2×C4C2×D4×D7311yescharacteristic
1925C2×C4C24×D7311yescharacteristic
1926C8—21no—
1927C8—21no—
1928C8—21no—
1929C8—21no—
1930C8—1461no—
1931C8—1461no—
1932C8—1461no—
1933C8—1461no—
1934C22—21no—
1935C22—21no—
1936C22—21no—
1937C22—22no—
1938C22—21no—
1939C22—21no—
1940C22—41no—
1941C22—41no—
1942C22—41no—
1943C22—41no—
1944C22—41no—
1945C22—41no—
1946C22—41no—
1947C22—41no—
1948C22—84no—
1949C22—2924no—
1950C22—2921no—
1951C22—2921no—
1952C22—2921no—
1953C22—2921no—
1954C22—2921no—
1955C22—2921no—
1956C22—2921no—
1957C22—2921no—
1958C22—2921no—
1959C22—2921no—
1960C22—2921no—
1961C22—2921no—
1962C22—2921no—
1963C22—2921no—
1964C22—2921no—
1965C22—2921no—
1966C22—2921no—
1967C22—5844no—
1968C22—5844no—
1969C22—5844no—
1970C22—5844no—
1971C22—5844no—
1972C22—732no—
1973C22—11682no—
1974C22—11682no—
1975C22—11682no—
1976C22—11682no—
1977C22—11682no—
1978C22—11682no—
1979C22—1461no—
1980C22—1462no—
1981C22—1461no—
1982C22—1461no—
1983C22—1461no—
1984C22—1461no—
1985C22—1461no—
1986C22—1461no—
1987C22—1461no—
1988C22#1798938912yes—
1989C22C22×D4×D7311yescharacteristic
1990C4—21no—
1991C4—21no—
1992C4—21no—
1993C4—21no—
1994C4—41no—
1995C4—41no—
1996C4—41no—
1997C4—41no—
1998C4—41no—
1999C4—2921no—
2000C4—2921no—
2001C4—1461no—
2002C4—1461no—
2003C4—1461no—
2004C4—1461no—
2005C4—1461no—
2006C4H(5,𝔽2)×D7311yescharacteristic
2007C4C2×#1455663711yescharacteristic
2008C2—22no—
2009C2—41no—
2010C2—42no—
2011C2—81no—
2012C2—81no—
2013C2—2921no—
2014C2—2922no—
2015C2—2921no—
2016C2—5841no—
2017C2—5841no—
2018C2—5841no—
2019C2—5841no—
2020C2—5841no—
2021C2—1462no—
2022C2#2262356111yescharacteristic
2023C2#576×D7311yescharacteristic
2024C2C2×#1798938911yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3297C2
socleC22×C73C23×D4
hypercenter#3297D73
hypocenterC73#61630
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3297

Complements

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

NH ≅ G/Ntype
1. #22624167C2semidirect
2. #22623561C2semidirect
3. #22622075C2semidirect
4. #22622069C2semidirect
5. #22622068C2semidirect
6. #22622066C2semidirect
7. #22621782C2semidirect
8. #22621780C2semidirect
9. #22621779C2semidirect
10. D4×D584C2semidirect
11. D8×D292C2semidirect
12. #22621605C2semidirect
13. #22621601C2semidirect
14. #22621417C2semidirect
15. #22621414C2semidirect
16. #22621412C2semidirect
17. #22621408C2semidirect
18. #22620984C2semidirect
19. #22620978C2semidirect
20. #22620795C2semidirect
21. #22620791C2semidirect
22. #22620701C2semidirect
23. #22620697C2semidirect
24. #22620176C2semidirect
25. #22620171C2semidirect
26. #22619202C2semidirect
27. #22619196C2semidirect
28. C2×#17988722C2semidirect
29. #447×D73C2semidirect
30. #22618984C2semidirect
31. C73×#3297C2semidirect
32. C2×#14556637C22semidirect
33. C22×D4×D73C22semidirect
34. C2×#14556618C22semidirect
35. C2×#14556616C22semidirect
36. C22×D584C22semidirect
37. C22×D584C22semidirect
38. C22×#11924013C22semidirect
39. C2×D8×D73C22semidirect
40. C2×D8×D73C22semidirect
41. C2×D8×D73C22semidirect
44. #17989290C22semidirect
45. #17989285C22semidirect
46. #17989281C22semidirect
47. #17989230C22semidirect
49. #17989228C22semidirect
51. #17989225C22semidirect
53. D4×D292C22semidirect
54. D4×D292C22semidirect
55. D4×D292C22semidirect
56. D4×D292C22semidirect
59. #17989221C22semidirect
60. #17989221C22semidirect
61. #17989221C22semidirect
62. D4×C22⋊D73C22semidirect
64. #17989193C22semidirect
65. #17989188C22semidirect
68. #17989156C22semidirect
69. #17989155C22semidirect
70. #17989153C22semidirect
71. #17989153C22semidirect
76. #17989100C22semidirect
78. C2×#14556566C22semidirect
79. #121×D73C22semidirect
82. #17989059C22semidirect
83. #17988977C22semidirect
84. #17988973C22semidirect
85. #17988964C22semidirect
86. #17988962C22semidirect
87. #17988953C22semidirect
88. #17988950C22semidirect
89. #17988943C22semidirect
90. #17988921C22semidirect
91. #17988914C22semidirect
92. #17988914C22semidirect
93. #17988914C22semidirect
94. #17988913C22semidirect
95. #17988911C22semidirect
96. #17988909C22semidirect
97. #17988909C22semidirect
98. #17988907C22semidirect
99. #17988905C22semidirect
100. #17988890C22semidirect
101. #17988885C22semidirect
102. #17988884C22semidirect
103. #17988841C22semidirect
104. #17988839C22semidirect
105. #17988838C22semidirect
106. #17988838C22semidirect
107. #17988824C22semidirect
108. #17988824C22semidirect
109. #17988824C22semidirect
110. #17988823C22semidirect
111. #17988823C22semidirect
112. #17988822C22semidirect
113. #17988821C22semidirect
114. #17988819C22semidirect
115. #17988819C22semidirect
116. #17988818C22semidirect
117. #17988805C22semidirect
118. #17988805C22semidirect
119. #17988799C22semidirect
120. #17988783C22semidirect
121. #17988783C22semidirect
122. #17988782C22semidirect
123. #17988782C22semidirect
124. #17988781C22semidirect
125. #17988781C22semidirect
126. #17988781C22semidirect
127. #17988780C22semidirect
128. #17988737C22semidirect
129. #17988736C22semidirect
130. #17988735C22semidirect
131. #17988735C22semidirect
132. #17988735C22semidirect
133. #17988735C22semidirect
134. #17988735C22semidirect
135. #17988732C22semidirect
136. #17988731C22semidirect
137. #17988723C22semidirect
138. #17988723C22semidirect
139. #17988723C22semidirect
140. #17988723C22semidirect
141. #17988722C22semidirect
142. #17988722C22semidirect
143. #17988722C22semidirect
144. #17988722C22semidirect
145. #17988722C22semidirect
146. #17988722C22semidirect
147. #17988722C22semidirect
148. #17988722C22semidirect
149. #17988722C22semidirect
150. #17988722C22semidirect
151. #17988722C22semidirect
152. #17988722C22semidirect
153. #17988722C22semidirect
154. #17988722C22semidirect
155. #17988721C22semidirect
156. #17988720C22semidirect
157. #17988720C22semidirect
158. #17988720C22semidirect
159. #17988719C22semidirect
160. #17988719C22semidirect
161. #17988719C22semidirect
162. #17988698C22semidirect
163. #17988697C22semidirect
164. #17988697C22semidirect
165. #17988696C22semidirect
166. C4×D584C22semidirect
167. #17988669C22semidirect
168. #17988667C22semidirect
169. #17988661C22semidirect
170. #17988659C22semidirect
171. #17988658C22semidirect
172. #17988657C22semidirect
173. C8×D292C22semidirect
174. C8×C22⋊D73C22semidirect
175. #17988650C22semidirect
176. #17988647C22semidirect
177. #17988646C22semidirect
178. #17988591C22semidirect
179. #17988590C22semidirect
180. #17988582C22semidirect
181. C2×#14556511C22semidirect
182. #102×D73C22semidirect
183. #102×D73C22semidirect
184. #17988553C22semidirect
185. #17988552C22semidirect
186. C2×#14556503C22semidirect
187. C22⋊C8×D73C22semidirect
188. #553×C73C22semidirect
189. #546×C73C22semidirect
190. #488×C73C22semidirect
191. #484×C73C22semidirect
192. #482×C73C22semidirect
193. #478×C73C22semidirect
194. #466×C73C22semidirect
195. #465×C73C22semidirect
196. #463×C73C22semidirect
197. #449×C73C22semidirect
198. #447×C73C22semidirect
199. C4×D8×C73C22semidirect
200. C8×D4×C73C22semidirect
201. #416×C73C22semidirect
202. C2×#102×C73C22semidirect
217. C22×D292C23semidirect
238. C2×D4×D73C23semidirect
242. C2×#11924015C23semidirect
243. C2×#11924015C23semidirect
244. C2×#11924015C23semidirect
253. C2×D584C23semidirect
254. C2×D584C23semidirect
255. C2×D584C23semidirect
265. C2×#11924013C23semidirect
269. C2×#11924012C23semidirect
270. C2×#11924011C23semidirect
274. C2×C8×D73C23semidirect
277. #14556588C23semidirect
281. #14556587C23semidirect
285. #14556582C23semidirect
321. #14556566C23semidirect
322. #14556566C23semidirect
330. #14556565C23semidirect
380. C4×D292C23semidirect
385. #14556553C23semidirect
386. #14556553C23semidirect
394. #14556549C23semidirect
404. #14556525C23semidirect
405. #14556524C23semidirect
406. #14556522C23semidirect
407. #14556522C23semidirect
408. #14556522C23semidirect
409. C4⋊#10596831C23semidirect
410. #14556520C23semidirect
411. #14556520C23semidirect
412. #14556515C23semidirect
415. #14556513C23semidirect
416. #14556513C23semidirect
417. #14556513C23semidirect
418. #14556513C23semidirect
421. #14556512C23semidirect
428. #14556511C23semidirect
429. #14556511C23semidirect
430. #14556511C23semidirect
431. #14556511C23semidirect
432. #14556511C23semidirect
433. #14556511C23semidirect
435. C22⋊#10596831C23semidirect
442. #14556503C23semidirect
443. #14556503C23semidirect
444. #14556502C23semidirect
445. #14556501C23semidirect
446. C8×Dic73C23semidirect
449. C2×SD16×C73C23semidirect
453. C22×C8×C73C23semidirect
455. #125×C73C23semidirect
464. #121×C73C23semidirect
469. C4×D4×C73C23semidirect
470. #117×C73C23semidirect
473. #107×C73C23semidirect
474. #107×C73C23semidirect
475. #106×C73C23semidirect
476. C4⋊C8×C73C23semidirect
477. #103×C73C23semidirect
478. #103×C73C23semidirect
479. #103×C73C23semidirect
486. #102×C73C23semidirect
488. C22⋊C8×C73C23semidirect
489. C4×C8×C73C23semidirect
1022. #3297D73semidirect
1044. C73#61630semidirect
1060. #553C2×D73semidirect
1066. #546C2×D73semidirect
1105. #488C2×D73semidirect
1107. #484C2×D73semidirect
1115. #482C2×D73semidirect
1121. #478C2×D73semidirect
1133. #466C2×D73semidirect
1137. #465C2×D73semidirect
1141. #463C2×D73semidirect
1159. #449C2×D73semidirect
1185. #447C2×D73semidirect
1193. C4×D8C2×D73semidirect
1201. C8×D4C2×D73semidirect
1207. #416C2×D73semidirect
1211. C2×#102C2×D73semidirect
1260. C2×SD16C22×D73semidirect
1294. C22×C8C22×D73semidirect
1307. #125C22×D73semidirect
1377. #121C22×D73semidirect
1428. C4×D4C22×D73semidirect
1432. #117C22×D73semidirect
1445. #107C22×D73semidirect
1446. #107C22×D73semidirect
1450. #106C22×D73semidirect
1454. C4⋊C8C22×D73semidirect
1456. #103C22×D73semidirect
1457. #103C22×D73semidirect
1458. #103C22×D73semidirect
1486. #102C22×D73semidirect
1498. C22⋊C8C22×D73semidirect
1502. C4×C8C22×D73semidirect

Maximal subgroups

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

subgroupindex
#226241672
#226235612
#226220752
#226220692
#226220682
#226220662
#226217822
#226217802
#226217792
D4×D5842
D8×D2922
#226216052
#226216012
#226214172
#226214142
#226214122
#226214082
#226209842
#226209782
#226207952
#226207912
#226207012
#226206972
#226201762
#226201712
#226192022
#226191962
C2×#179887222
#447×D732
#226189842
C73×#32972
#6163073