Finite Group Databasebeta

← #33972061

Subgroups — #33972061

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#22624162C211yesmaximal, characteristic, complemented
2#22623561C211yesmaximal, characteristic, complemented
3#22622077C211yesmaximal, characteristic, complemented
4#22622076C211yesmaximal, characteristic, complemented
5#22622074C211yesmaximal, characteristic, complemented
6#22622067C211yesmaximal, characteristic, complemented
7#22621788C211yesmaximal, characteristic, complemented
8#22621787C211yesmaximal, characteristic, complemented
9#22621781C211yesmaximal, characteristic, complemented
10#22621774C211yesmaximal, characteristic, complemented
11D4×#11924013C211yesmaximal, characteristic, complemented
12#22621603C211yesmaximal, characteristic, complemented
13D8×C22⋊D73C211yesmaximal, characteristic, complemented
14#22621601C211yesmaximal, characteristic, complemented
15#22621415C211yesmaximal, characteristic, complemented
16#22621410C211yesmaximal, characteristic, complemented
17#22621405C211yesmaximal, characteristic, complemented
18#22620978C211yesmaximal, characteristic, complemented
19#22620976C211yesmaximal, characteristic, complemented
20#22620794C211yesmaximal, characteristic, complemented
21#22620793C211yesmaximal, characteristic, complemented
22#22620699C211yesmaximal, characteristic, complemented
23#22620697C211yesmaximal, characteristic, complemented
24#22620173C211yesmaximal, characteristic, complemented
25#22620172C211yesmaximal, characteristic, complemented
26#22619198C211yesmaximal, characteristic, complemented
27#22619196C211yesmaximal, characteristic, complemented
28C2×#17988719C211yesmaximal, characteristic, complemented
29#447×D73C211yesmaximal, characteristic, complemented
30#22618982C211yesmaximal, characteristic, complemented
31C73×#3264C211yesmaximal, characteristic, complemented
32C2×#14556637C2211yescharacteristic, complemented
33C22×D4×D73C2211yescharacteristic, complemented
34C2×#14556618C2211yescharacteristic, complemented
35C22×#11924013C2211yescharacteristic, complemented
36C22×#11924013C2211yescharacteristic, complemented
37C2×D8×D73C2211yescharacteristic, complemented
38C2×D8×D73C2211yescharacteristic, complemented
39C2×D8×D73C2211yescharacteristic, complemented
40#17989326—21no—
41#17989325—21no—
42#17989289C2211yescharacteristic, complemented
43#17989287C2211yescharacteristic, complemented
44#17989284C2211yescharacteristic, complemented
45#17989283C2211yescharacteristic, complemented
46#17989230C2211yescharacteristic, complemented
47#17989229—21no—
48#17989228C2211yescharacteristic, complemented
49#17989227—21no—
50#17989225C2211yescharacteristic, complemented
51D4×D292C2211yescharacteristic, complemented
52D4×D292C2211yescharacteristic, complemented
53#17989222C2211yescharacteristic, complemented
54#17989221—21no—
55#17989221C2211yescharacteristic, complemented
56D4×C22⋊D73—21no—
57D4×C22⋊D73C2211yescharacteristic, complemented
58D4×C22⋊D73C2211yescharacteristic, complemented
59D4×C22⋊D73C2211yescharacteristic, complemented
60#17989219—21no—
61#17989219—21no—
62#17989191C2211yescharacteristic, complemented
63#17989188C2211yescharacteristic, complemented
64#17989172—21no—
65#17989169—21no—
66#17989155C2211yescharacteristic, complemented
67#17989154C2211yescharacteristic, complemented
68#17989153C2211yescharacteristic, complemented
69#17989153C2211yescharacteristic, complemented
70#17989148—21no—
71#17989147—21no—
72#17989146—21no—
73#17989145—21no—
74#17989100C2211yescharacteristic, complemented
75#17989096C2211yescharacteristic
76C2×#14556562C2211yescharacteristic, complemented
77#121×D73C2211yescharacteristic, complemented
78C2×#14556561—21no—
79#120×D73—21no—
80#17989059C2211yescharacteristic, complemented
81#17988973C2211yescharacteristic, complemented
82#17988963C2211yescharacteristic, complemented
83#17988962C2211yescharacteristic, complemented
84#17988952C2211yescharacteristic, complemented
85#17988950C2211yescharacteristic, complemented
86#17988943C2211yescharacteristic, complemented
87#17988941C2211yescharacteristic, complemented
88#17988921C2211yescharacteristic, complemented
89#17988920C2211yescharacteristic, complemented
90#17988913C2211yescharacteristic, complemented
91#17988913C2211yescharacteristic, complemented
92#17988912C2211yescharacteristic, complemented
93#17988910C2211yescharacteristic, complemented
94#17988910C2211yescharacteristic, complemented
95#17988910C2211yescharacteristic, complemented
96#17988909C2211yescharacteristic, complemented
97#17988908C2211yescharacteristic, complemented
98#17988907C2211yescharacteristic, complemented
99#17988906C2211yescharacteristic, complemented
100#17988889C2211yescharacteristic, complemented
101#17988888C2211yescharacteristic, complemented
102#17988887C2211yescharacteristic, complemented
103#17988886C2211yescharacteristic, complemented
104#17988840C2211yescharacteristic, complemented
105#17988839C2211yescharacteristic, complemented
106#17988837C2211yescharacteristic, complemented
107#17988823C2211yescharacteristic, complemented
108#17988822C2211yescharacteristic, complemented
109#17988822C2211yescharacteristic, complemented
110#17988822C2211yescharacteristic, complemented
111#17988821C2211yescharacteristic, complemented
112#17988821C2211yescharacteristic, complemented
113#17988821C2211yescharacteristic, complemented
114#17988820C2211yescharacteristic, complemented
115#17988818C2211yescharacteristic, complemented
116#17988813C2211yescharacteristic, complemented
117#17988813C2211yescharacteristic, complemented
118#17988804C2211yescharacteristic, complemented
119#17988804C2211yescharacteristic, complemented
120#17988799C2211yescharacteristic, complemented
121#17988783C2211yescharacteristic, complemented
122#17988782C2211yescharacteristic, complemented
123#17988781C2211yescharacteristic, complemented
124#17988780C2211yescharacteristic, complemented
125#17988780C2211yescharacteristic, complemented
126#17988780C2211yescharacteristic, complemented
127#17988779C2211yescharacteristic, complemented
128#17988736C2211yescharacteristic, complemented
129#17988735C2211yescharacteristic, complemented
130#17988732C2211yescharacteristic, complemented
131#17988731C2211yescharacteristic, complemented
132#17988731C2211yescharacteristic, complemented
133#17988731C2211yescharacteristic, complemented
134#17988731C2211yescharacteristic, complemented
135#17988731C2211yescharacteristic, complemented
136#17988723C2211yescharacteristic, complemented
137#17988723C2211yescharacteristic, complemented
138#17988722C2211yescharacteristic, complemented
139#17988722C2211yescharacteristic, complemented
140#17988722C2211yescharacteristic, complemented
141#17988722C2211yescharacteristic, complemented
142#17988721C2211yescharacteristic, complemented
143#17988721C2211yescharacteristic, complemented
144#17988721C2211yescharacteristic, complemented
145#17988720C2211yescharacteristic, complemented
146#17988720C2211yescharacteristic, complemented
147#17988719C2211yescharacteristic, complemented
148#17988719C2211yescharacteristic, complemented
149#17988719C2211yescharacteristic, complemented
150#17988719C2211yescharacteristic, complemented
151#17988719C2211yescharacteristic, complemented
152#17988719C2211yescharacteristic, complemented
153#17988719C2211yescharacteristic, complemented
154#17988719C2211yescharacteristic, complemented
155#17988719C2211yescharacteristic, complemented
156#17988719C2211yescharacteristic, complemented
157#17988719C2211yescharacteristic, complemented
158#17988719C2211yescharacteristic, complemented
159#17988719C2211yescharacteristic, complemented
160#17988700C2211yescharacteristic, complemented
161#17988699C2211yescharacteristic, complemented
162#17988696C2211yescharacteristic, complemented
163D8×Dic73C2211yescharacteristic, complemented
164C4×#11924013C2211yescharacteristic, complemented
165C4×#11924013C2211yescharacteristic, complemented
166#17988667C2211yescharacteristic, complemented
167#17988660C2211yescharacteristic, complemented
168#17988656C2211yescharacteristic, complemented
169#17988655C2211yescharacteristic, complemented
170D4×#10596831C2211yescharacteristic, complemented
171#17988652C2211yescharacteristic, complemented
172C8×C22⋊D73C2211yescharacteristic, complemented
173#17988650C2211yescharacteristic, complemented
174#17988649C2211yescharacteristic, complemented
175#17988647C2211yescharacteristic, complemented
176#17988593C2211yescharacteristic, complemented
177#17988590C2211yescharacteristic, complemented
178#17988583C2211yescharacteristic, complemented
179#17988582C2211yescharacteristic, complemented
180C2×#14556513C2211yescharacteristic, complemented
181C2×#14556512C2211yescharacteristic, complemented
182#102×D73C2211yescharacteristic, complemented
183#102×D73C2211yescharacteristic, complemented
184#17988555C2211yescharacteristic, complemented
185#17988552C2211yescharacteristic, complemented
186C2×#14556503C2211yescharacteristic, complemented
187C22⋊C8×D73C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C73C2211yescharacteristic, complemented
189C22×D8×C73C2211yescharacteristic, complemented
190#546×C73C2211yescharacteristic, complemented
191D42×C73C2211yescharacteristic, complemented
192#496×C73C2211yescharacteristic, complemented
193#469×C73C2211yescharacteristic, complemented
194#465×C73C2211yescharacteristic, complemented
195#463×C73C2211yescharacteristic, complemented
196#459×C73C2211yescharacteristic, complemented
197#450×C73C2211yescharacteristic, complemented
198#449×C73C2211yescharacteristic, complemented
199#447×C73C2211yescharacteristic, complemented
200#447×C73C2211yescharacteristic, complemented
201#442×C73C2211yescharacteristic, complemented
202#435×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×D292C2311yescharacteristic
213C22×D292C2311yescharacteristic
214C22×C22⋊D73—21no—
215C22×C22⋊D73—21no—
216C22×C22⋊D73—21no—
217C22×C22⋊D73—21no—
218C22×C22⋊D73—21no—
219C2×D4×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—42no—
228C2×D4×D73—42no—
229C2×D4×D73C2311yescharacteristic
230C2×D4×D73C2311yescharacteristic
231C2×D4×D73C2311yescharacteristic
232C2×D4×D73C2311yescharacteristic
233C2×D4×D73C2311yescharacteristic
234C2×D4×D73C2311yescharacteristic
235C2×D4×D73C2311yescharacteristic, complemented
236C22×C4×D73C2311yescharacteristic
237#14556618—42no—
238C2×#11924015C2311yescharacteristic, complemented
239C2×D584C2311yescharacteristic
240C2×D584C2311yescharacteristic
241C2×D584C2311yescharacteristic, complemented
242C2×#11924013—42no—
243C2×#11924013—42no—
244C2×#11924013C2311yescharacteristic
245C2×#11924013C2311yescharacteristic
246C2×#11924013C2311yescharacteristic
247C2×#11924013C2311yescharacteristic
248C2×#11924013C2311yescharacteristic
249C2×#11924013C2311yescharacteristic
250C2×#11924013C2311yescharacteristic
251C2×#11924013C2311yescharacteristic
252C2×#11924013C2311yescharacteristic, complemented
253C2×#11924013C2311yescharacteristic, complemented
254C2×#11924013C2311yescharacteristic, complemented
255D8×D73—42no—
256D8×D73—42no—
257D8×D73—42no—
258C2×#11924011C2311yescharacteristic, complemented
259C22×#10596831C2311yescharacteristic
260C22×#10596831C2311yescharacteristic, complemented
261C2×C8×D73C2311yescharacteristic
262C2×C8×D73C2311yescharacteristic
263C2×C8×D73C2311yescharacteristic, complemented
264#14556588C2311yescharacteristic
265#14556587—21no—
266#14556587—21no—
267#14556587—21no—
268#14556587C2311yescharacteristic
269#14556587C2311yescharacteristic, complemented
270#14556586—21no—
271#14556584—21no—
272#14556584—21no—
273#14556584—21no—
274#14556583C2311yescharacteristic, complemented
275#14556582C2311yescharacteristic, complemented
276#14556580C2311yescharacteristic
277#14556578—21no—
278#14556577—21no—
279#14556577—21no—
280#14556576—21no—
281#14556576—21no—
282#14556576D411yescharacteristic
283#14556575—21no—
284#14556574—21no—
285#14556574—21no—
286#14556574—21no—
287#14556573—21no—
288#14556573—21no—
289#14556573—21no—
290#14556573D411yescharacteristic
291#14556572—21no—
292#14556572—21no—
293#14556572—21no—
294#14556569D411yescharacteristic
295#14556568D411yescharacteristic
296#14556567C2311yescharacteristic
297#14556566—21no—
298#14556566—21no—
299#14556566C2311yescharacteristic
300#14556566C2311yescharacteristic
301#14556566C2311yescharacteristic
302#14556565—21no—
303#14556565—21no—
304#14556565C2311yescharacteristic
305#14556565C2311yescharacteristic
306#14556565C2311yescharacteristic
307#14556565C2311yescharacteristic, complemented
308#14556564—21no—
309#14556564—21no—
310#14556564—21no—
311#14556564—21no—
312#14556564—21no—
313#14556564—21no—
314#14556564—21no—
315#14556564D411yescharacteristic
316#14556563—21no—
317#14556563—21no—
318#14556563—21no—
319#14556563—21no—
320#14556563—21no—
321#14556563—21no—
322#14556563—21no—
323#14556563—21no—
324#14556563—21no—
325#14556563D411yescharacteristic
326#14556562—21no—
327#14556562—21no—
328#14556562—21no—
329#14556562—21no—
330#14556562C2311yescharacteristic
331#14556562C2311yescharacteristic
332#14556562C2311yescharacteristic
333#14556562C2311yescharacteristic
334#14556562C2311yescharacteristic
335#14556562C2311yescharacteristic
336#14556562C2311yescharacteristic, complemented
337#14556562C2311yescharacteristic, complemented
338#14556561—21no—
339#14556561—21no—
340#14556561—21no—
341#14556561—21no—
342#14556561—21no—
343#14556561—21no—
344#14556561—21no—
345#14556561—21no—
346#14556561—21no—
347#14556561—21no—
348#14556561—21no—
349#14556561—21no—
350#14556561D411yescharacteristic
351#14556560—21no—
352#14556560—21no—
353#14556560—21no—
354#14556560—21no—
355#14556560—21no—
356#14556559—21no—
357#14556559—21no—
358#14556559—21no—
359#14556559—21no—
360#14556559—21no—
361#14556559—21no—
362#14556559—21no—
363#14556559—21no—
364#14556559—21no—
365#14556559D411yescharacteristic
366C4×D292C2311yescharacteristic
367C4×D292C2311yescharacteristic
368C4×D292C2311yescharacteristic, complemented
369D4×Dic73—21no—
370D4×Dic73C2311yescharacteristic
371D4×Dic73C2311yescharacteristic, complemented
372D4×Dic73C2311yescharacteristic, complemented
373#14556553—21no—
374#14556553C2311yescharacteristic
375C4×C22⋊D73—21no—
376C4×C22⋊D73—21no—
377C4×C22⋊D73C2311yescharacteristic
378C4×C22⋊D73C2311yescharacteristic
379#14556551—21no—
380#14556551—21no—
381#14556551—21no—
382#14556551—21no—
383#14556550C2311yescharacteristic, complemented
384#14556549C2311yescharacteristic
385#14556549C2311yescharacteristic, complemented
386#14556548C2311yescharacteristic
387C2×C4⋊Dic73C2311yescharacteristic
388C4⋊C4×D73C2311yescharacteristic
389C2×C22⋊Dic73—21no—
390C2×#11924005—21no—
391C2×#11924005—21no—
392C22⋊C4×D73—21no—
393C22⋊C4×D73—21no—
394C22⋊C4×D73—21no—
395C22⋊C4×D73—21no—
396#14556525C2311yescharacteristic, complemented
397#14556524C2311yescharacteristic, complemented
398#14556524C2311yescharacteristic, complemented
399#14556524C2311yescharacteristic, complemented
400#14556523C2311yescharacteristic, complemented
401#14556523C2311yescharacteristic, complemented
402#14556522C2311yescharacteristic, complemented
403C4⋊#10596831C2311yescharacteristic, complemented
404#14556520C2311yescharacteristic, complemented
405#14556520C2311yescharacteristic, complemented
406#14556515C2311yescharacteristic, complemented
407#14556515C2311yescharacteristic, complemented
408#14556515C2311yescharacteristic, complemented
409#14556513C2311yescharacteristic
410#14556513C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556513C2311yescharacteristic, complemented
416#14556513C2311yescharacteristic, complemented
417#14556513C2311yescharacteristic, complemented
418#14556513C2311yescharacteristic, complemented
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556512C2311yescharacteristic, complemented
426#14556512C2311yescharacteristic, complemented
427#14556512C2311yescharacteristic, complemented
428#14556511C2311yescharacteristic
429#14556511C2311yescharacteristic
430#14556511C2311yescharacteristic, complemented
431#14556511C2311yescharacteristic, complemented
432C22⋊#10596831C2311yescharacteristic
433C22⋊#10596831C2311yescharacteristic, complemented
434#14556503C2311yescharacteristic
435#14556503C2311yescharacteristic
436#14556503C2311yescharacteristic
437#14556503C2311yescharacteristic
438#14556503C2311yescharacteristic
439#14556503C2311yescharacteristic
440#14556503C2311yescharacteristic, complemented
441#14556503C2311yescharacteristic, complemented
442#14556501C2311yescharacteristic, complemented
443C4×#10596831C2311yescharacteristic, complemented
444C8×Dic73C2311yescharacteristic, complemented
445C2×#41×C73C2311yescharacteristic
446C22×D4×C73—21no—
447C22×D4×C73C2311yescharacteristic
448C22×D4×C73C2311yescharacteristic
449C22×D4×C73C2311yescharacteristic, complemented
450AGL(1,ℤ/8)×C73—42no—
451C2×SD16×C73C2311yescharacteristic, complemented
452C2×SD16×C73C2311yescharacteristic, complemented
453C2×SD16×C73C2311yescharacteristic, complemented
454C2×D8×C73—42no—
455C2×D8×C73C2311yescharacteristic
456C2×D8×C73C2311yescharacteristic
457C2×D8×C73C2311yescharacteristic
458C2×D8×C73C2311yescharacteristic
459C2×D8×C73C2311yescharacteristic
460C2×D8×C73C2311yescharacteristic
461C2×M16×C73C2311yescharacteristic, complemented
462C22×C8×C73C2311yescharacteristic
463#127×C73C2311yescharacteristic, complemented
464#124×C73C2311yescharacteristic
465#123×C73—21no—
466C22⋊Q8×C73C2311yescharacteristic
467#121×C73—21no—
468#121×C73—21no—
469#121×C73C2311yescharacteristic
470#121×C73C2311yescharacteristic
471#121×C73C2311yescharacteristic, complemented
472#120×C73—21no—
473#120×C73—21no—
474#120×C73—21no—
475C4×D4×C73C2311yescharacteristic
476C4×D4×C73C2311yescharacteristic
477C4×D4×C73C2311yescharacteristic, complemented
478C2×C22⋊C4×C73—21no—
479#106×C73C2311yescharacteristic, complemented
480C4⋊C8×C73C2311yescharacteristic, complemented
481#103×C73C2311yescharacteristic, complemented
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
489#97×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—44no—
500C23×D73—82no—
501C23×D73—82no—
502C23×D73C2×D411yescharacteristic
503#11924029—22no—
504#11924029—41no—
505#11924029—41no—
506#11924029—41no—
507#11924028—41no—
508#11924028—41no—
509#11924028—44no—
510C2×Dic146C2×D411yescharacteristic
511C2×D292—22no—
512C2×D292—22no—
513C2×D292—21no—
514C2×D292—21no—
515C2×D292—21no—
516C2×D292—21no—
517C2×D292—21no—
518C2×D292—21no—
519C2×D292—21no—
520C2×D292—21no—
521C2×D292—21no—
522C2×D292—41no—
523C2×D292—41no—
524C2×D292—44no—
525C2×D292—82no—
526C2×D292C2×D411yescharacteristic
527C2×D292C2×D411yescharacteristic
528C2×D292C2411yescharacteristic
529C2×D292C2411yescharacteristic
530C2×D292C2411yescharacteristic
531C2×D292C2411yescharacteristic
532C2×C22⋊D73—21no—
533C2×C22⋊D73—21no—
534C2×C22⋊D73—21no—
535C2×C22⋊D73—21no—
536C2×C22⋊D73—21no—
537C2×C22⋊D73—21no—
538C2×C22⋊D73—21no—
539C2×C22⋊D73—21no—
540C2×C22⋊D73—21no—
541C2×C22⋊D73—21no—
542C2×C22⋊D73—21no—
543C2×C22⋊D73—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—44no—
556C2×C22⋊D73—82no—
557C2×C22⋊D73—82no—
558C2×C22⋊D73—82no—
559C2×C22⋊D73—82no—
560C2×C22⋊D73C2×D411yescharacteristic
561C2×C22⋊D73C2×D411yescharacteristic
562C2×C22⋊D73C2×D411yescharacteristic
563C2×C22⋊D73C2×D411yescharacteristic
564D4×D73—22no—
565D4×D73—22no—
566D4×D73—22no—
567D4×D73—22no—
568D4×D73—22no—
569D4×D73—41no—
570D4×D73—41no—
571D4×D73—41no—
572D4×D73—41no—
573D4×D73—41no—
574D4×D73—41no—
575D4×D73—41no—
576D4×D73—41no—
577D4×D73—41no—
578D4×D73—44no—
579D4×D73—44no—
580D4×D73—44no—
581D4×D73—44no—
582D4×D73—82no—
583D4×D73—82no—
584D4×D73—82no—
585D4×D73—82no—
586C22×Dic73—21no—
587C22×Dic73—21no—
588C22×Dic73—21no—
589C22×Dic73—21no—
590C22×Dic73C2×D411yescharacteristic
591C2×C4×D73—21no—
592C2×C4×D73—21no—
593C2×C4×D73—21no—
594C2×C4×D73—21no—
595C2×C4×D73—21no—
596C2×C4×D73—21no—
597C2×C4×D73—41no—
598C2×C4×D73—41no—
599C2×C4×D73C2×D411yescharacteristic
600C2×C4×D73C2×D411yescharacteristic
601C2×C4×D73C2411yescharacteristic
602C2×C4×D73C2411yescharacteristic
603C2×C4×D73C2411yescharacteristic
604#11924015—41no—
605D584—22no—
606D584—41no—
607D584—41no—
608#11924013—22no—
609#11924013—22no—
610#11924013—22no—
611#11924013—22no—
612#11924013—41no—
613#11924013—41no—
614#11924013—41no—
615#11924013—41no—
616#11924013—41no—
617#11924013—41no—
618#11924013—41no—
619#11924011—41no—
620C2×#10596831—41no—
621C2×#10596831—41no—
622C2×#10596831C2411yescharacteristic
623C2×#10596831C2411yescharacteristic
624C2×#10596831C2411yescharacteristic
625C2×#10596831C2411yescharacteristic
626C8×D73—41no—
627C8×D73—41no—
628C8×D73—41no—
629C4⋊Dic73—21no—
630C4⋊Dic73—21no—
631C4⋊Dic73C2×D411yescharacteristic
632C4⋊Dic73C2411yescharacteristic
633C4⋊Dic73C2411yescharacteristic
634C4⋊Dic73C2411yescharacteristic
635C4⋊Dic73C2411yescharacteristic
636#11924007—21no—
637#11924007—21no—
638#11924007—21no—
639#11924007—21no—
640#11924007—21no—
641#11924007C2×D411yescharacteristic
642#11924007C2×D411yescharacteristic
643#11924007C2×D411yescharacteristic
644#11924007C2×D411yescharacteristic
645C22⋊Dic73—21no—
646C22⋊Dic73—21no—
647C22⋊Dic73—21no—
648C22⋊Dic73—21no—
649C22⋊Dic73—21no—
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#11924005C2×D411yescharacteristic
675#11924005C2×D411yescharacteristic
676#11924005C2×D411yescharacteristic
677#11924005C2×D411yescharacteristic
678#11924005C2×D411yescharacteristic
679#11924005C2×D411yescharacteristic
680C4×Dic73—21no—
681C4×Dic73—21no—
682C4×Dic73—21no—
683C4×Dic73C2411yescharacteristic
684C24×C73—21no—
685C24×C73—21no—
686C24×C73—21no—
687#41×C73—22no—
688#41×C73—41no—
689C2×Q8×C73C2411yescharacteristic
690C2×D4×C73—22no—
691C2×D4×C73—21no—
692C2×D4×C73—21no—
693C2×D4×C73—21no—
694C2×D4×C73—21no—
695C2×D4×C73—21no—
696C2×D4×C73—21no—
697C2×D4×C73—21no—
698C2×D4×C73—21no—
699C2×D4×C73—21no—
700C2×D4×C73—41no—
701C2×D4×C73—41no—
702C2×D4×C73—41no—
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
710C2×D4×C73C2411yescharacteristic
711C2×D4×C73C2411yescharacteristic
712C22×C4×C73—21no—
713C22×C4×C73—21no—
714C22×C4×C73—21no—
715C22×C4×C73C2411yescharacteristic
716C22×C4×C73C2411yescharacteristic
717SD16×C73—41no—
718SD16×C73—41no—
719SD16×C73—41no—
720D8×C73—22no—
721D8×C73—22no—
722D8×C73—22no—
723D8×C73—41no—
724D8×C73—41no—
725D8×C73—41no—
726M16×C73—41no—
727C2×C8×C73—41no—
728C2×C8×C73C2411yescharacteristic
729C2×C8×C73C2411yescharacteristic
730C2×C8×C73C2411yescharacteristic
731C2×C8×C73C2411yescharacteristic
732C4⋊C4×C73—21no—
733C4⋊C4×C73C2×D411yescharacteristic
734C4⋊C4×C73C2411yescharacteristic
735C4⋊C4×C73C2411yescharacteristic
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×C73—21no—
744C22⋊C4×C73C2×D411yescharacteristic
745C22⋊C4×C73C2×D411yescharacteristic
746C42×C73C2411yescharacteristic
747C23×C73—21no—
748C23×C73—21no—
749C23×C73—21no—
750C23×C73—21no—
751C23×C73—21no—
752C23×C73—42no—
753C23×C73—42no—
754C23×C73—42no—
755C23×C73—81no—
756C23×C73—81no—
757C23×C73—81no—
758C23×C73—81no—
759C23×C73—81no—
760C23×C73—81no—
761C23×C73C22×D411yescharacteristic
762C23×C73C22×D411yescharacteristic
763C22×D73—22no—
764C22×D73—21no—
765C22×D73—24no—
766C22×D73—22no—
767C22×D73—21no—
768C22×D73—21no—
769C22×D73—21no—
770C22×D73—41no—
771C22×D73—42no—
772C22×D73—42no—
773C22×D73—42no—
774C22×D73—42no—
775C22×D73—42no—
776C22×D73—42no—
777C22×D73—42no—
778C22×D73—42no—
779C22×D73—42no—
780C22×D73—42no—
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—21no—
810D4×C73—21no—
811D4×C73—21no—
812D4×C73—21no—
813D4×C73—42no—
814D4×C73—42no—
815D4×C73—42no—
816D4×C73—81no—
817D4×C73—81no—
818D4×C73—81no—
819D4×C73—81no—
820D4×C73—81no—
821D4×C73—81no—
822D4×C73H(5,𝔽2)12yes—
823C2×C4×C73—21no—
824C2×C4×C73—21no—
825C2×C4×C73—21no—
826C2×C4×C73—21no—
827C2×C4×C73—21no—
828C2×C4×C73—21no—
829C2×C4×C73—21no—
830C2×C4×C73—42no—
831C2×C4×C73—81no—
832C2×C4×C73—81no—
833C2×C4×C73C22×D411yescharacteristic
834C2×C4×C73C22×D411yescharacteristic
835C2×C4×C73C22×D411yescharacteristic
836C2×C4×C73C22×D411yescharacteristic
837C2×C4×C73C2511yescharacteristic
838C22⋊D73—24no—
839C22⋊D73—22no—
840C22⋊D73—22no—
841C22⋊D73—41no—
842C22⋊D73—41no—
843C22⋊D73—42no—
844C22⋊D73—42no—
845C22⋊D73—42no—
846C22⋊D73—42no—
847C22⋊D73—42no—
848C22⋊D73—42no—
849C22⋊D73—42no—
850C22⋊D73—42no—
851C22⋊D73—81no—
852C22⋊D73—81no—
853C22⋊D73—81no—
854C22⋊D73—81no—
855C22⋊D73—81no—
856C22⋊D73—81no—
857C22⋊D73—81no—
858C22⋊D73—81no—
859C22⋊D73—81no—
860C22⋊D73—81no—
861C22⋊D73—81no—
862C22⋊D73—81no—
863C22⋊D73—81no—
864C22⋊D73—81no—
865C2×Dic73—21no—
866C2×Dic73—21no—
867C2×Dic73—21no—
868C2×Dic73—21no—
869C2×Dic73—41no—
870C2×Dic73—81no—
871C2×Dic73—81no—
872C2×Dic73—81no—
873C2×Dic73—81no—
874C2×Dic73C22×D411yescharacteristic
875C2×Dic73C22×D411yescharacteristic
876C2×Dic73C22×D411yescharacteristic
877C2×Dic73C22×D411yescharacteristic
878C2×Dic73C22×D411yescharacteristic
879D292—22no—
880D292—21no—
881D292—21no—
882D292—21no—
883D292—21no—
884D292—21no—
885D292—21no—
886D292—21no—
887D292—41no—
888D292—42no—
889D292—42no—
890D292—42no—
891D292—42no—
892D292—42no—
893D292—81no—
894D292—81no—
895D292—81no—
896D292—81no—
897D292H(5,𝔽2)12yes—
898C4×D73—21no—
899C4×D73—21no—
900C4×D73—21no—
901C4×D73—21no—
902C4×D73—21no—
903C4×D73—21no—
904C4×D73—41no—
905C4×D73—41no—
906C4×D73—42no—
907C4×D73—42no—
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—41no—
936C22×C73—41no—
937C22×C73—41no—
938C22×C73—41no—
939C22×C73—41no—
940C22×C73—41no—
941C22×C73—84no—
942C22×C73—162no—
943C22×C73—162no—
944C22×C73#57612yes—
945C22×C73C23×D411yescharacteristic
946C2×D73—21no—
947C2×D73—21no—
948C2×D73—21no—
949C2×D73—21no—
950C2×D73—22no—
951C2×D73—21no—
952C2×D73—21no—
953C2×D73—21no—
954C2×D73—21no—
955C2×D73—44no—
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—41no—
966C2×D73—41no—
967C2×D73—84no—
968C2×D73—84no—
969C2×D73—84no—
970C2×D73—84no—
971C2×D73—84no—
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×C73C2×H(5,𝔽2)11yescharacteristic
985C4×C73C2×H(5,𝔽2)11yescharacteristic
986Dic73—21no—
987Dic73—21no—
988Dic73—21no—
989Dic73—21no—
990Dic73—21no—
991Dic73—41no—
992Dic73—41no—
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—81no—
1002C2×C73—81no—
1003C2×C73#348411yescharacteristic
1004C2×C73C2×#57611yescharacteristic
1005C2×C73C2×#57611yescharacteristic
1006D73—22no—
1007D73—41no—
1008D73—41no—
1009D73—42no—
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#3297—731no—
1023D4×D8—731no—
1024D4×D8—731no—
1025D4×D8—731no—
1026D4×D8—731no—
1027#3264—731no—
1028#3264—731no—
1029#3264—731no—
1030#3264D7311yescharacteristic, complemented
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)C2×D7311yescharacteristic, complemented
1049C22×D8—731no—
1050C22×D8—731no—
1051C22×D8—731no—
1052C22×D8—731no—
1053C22×D8—731no—
1054C22×D8C2×D7311yescharacteristic, complemented
1055#560—1461no—
1056#560—1461no—
1057#553—731no—
1058#553—731no—
1059#553—731no—
1060#553—731no—
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—1461no—
1075D42—1461no—
1076D42—1461no—
1077D42—1461no—
1078D42C2×D7311yescharacteristic, complemented
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#496C2×D7311yescharacteristic, complemented
1100#493—731no—
1101#493—731no—
1102#490—731no—
1103#490—731no—
1104#488—731no—
1105#488—731no—
1106#484—731no—
1107#484—731no—
1108#482—731no—
1109#482—731no—
1110#482—731no—
1111#482—731no—
1112#482—731no—
1113#482—731no—
1114#482—731no—
1115#482—731no—
1116#481—731no—
1117#481—731no—
1118#478—731no—
1119#478—731no—
1120#478—731no—
1121#478—731no—
1122#469—731no—
1123#469—731no—
1124#469—731no—
1125#469C2×D7311yescharacteristic, complemented
1126#466—731no—
1127#466—731no—
1128#466—731no—
1129#466—731no—
1130#466—731no—
1131#466—731no—
1132#466—731no—
1133#466—731no—
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#459C2×D7311yescharacteristic, complemented
1150#450—731no—
1151#450C2×D7311yescharacteristic, complemented
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#447C2×D7311yescharacteristic, complemented
1185#447C2×D7311yescharacteristic, complemented
1186#442—731no—
1187#442—731no—
1188#442—731no—
1189#442C2×D7311yescharacteristic, complemented
1190C4×D8—731no—
1191C4×D8—731no—
1192C4×D8—731no—
1193C4×D8—731no—
1194#435—731no—
1195#435—731no—
1196#435—731no—
1197#435C2×D7311yescharacteristic, complemented
1198C8×D4—731no—
1199C8×D4—731no—
1200C8×D4—731no—
1201C8×D4—731no—
1202#433—731no—
1203#433—731no—
1204#418—731no—
1205#418—731no—
1206#416—731no—
1207#416—731no—
1208C2×#102—731no—
1209C2×#102—731no—
1210C2×#102—731no—
1211C2×#102—731no—
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—21no—
1225C22×D4—2922no—
1226C22×D4—2922no—
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—1461no—
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×D4C22×D7311yescharacteristic
1252C22×D4C22×D7311yescharacteristic
1253C22×D4C22×D7311yescharacteristic, complemented
1254C23×C4—731no—
1255AGL(1,ℤ/8)—42no—
1256AGL(1,ℤ/8)—2922no—
1257C2×SD16—731no—
1258C2×SD16C22×D7311yescharacteristic, complemented
1259C2×SD16C22×D7311yescharacteristic, complemented
1260C2×SD16C22×D7311yescharacteristic, complemented
1261C2×D8—42no—
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×D8C22×D7311yescharacteristic
1282C2×D8C22×D7311yescharacteristic
1283C2×D8C22×D7311yescharacteristic
1284C2×D8C22×D7311yescharacteristic
1285C2×D8C22×D7311yescharacteristic
1286C2×D8C22×D7311yescharacteristic
1287C2×M16—731no—
1288C2×M16C22×D7311yescharacteristic, complemented
1289C22×C8—731no—
1290C22×C8—731no—
1291C22×C8—731no—
1292C22×C8—731no—
1293C22×C8—731no—
1294C22×C8C22×D7311yescharacteristic
1295#127—731no—
1296#127—731no—
1297#127—731no—
1298#127—1461no—
1299#127—1461no—
1300#127—1461no—
1301#127C22×D7311yescharacteristic, complemented
1302#126—1461no—
1303#126—1461no—
1304#126—1461no—
1305#126—1461no—
1306#125—731no—
1307#125—731no—
1308#124—731no—
1309#124—1461no—
1310#124—1461no—
1311#124—1461no—
1312#124C22×D7311yescharacteristic
1313#123—21no—
1314#123—731no—
1315#123—731no—
1316#123—1461no—
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—21no—
1380#120—21no—
1381#120—731no—
1382#120—731no—
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—731no—
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—1461no—
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#117—731no—
1433C2×C4⋊C4—731no—
1434C2×C4⋊C4—731no—
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#107—731no—
1446#107—731no—
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#103—731no—
1457#103—731no—
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#102—731no—
1481#102—731no—
1482#102C22×D7311yescharacteristic
1483#102C22×D7311yescharacteristic
1484#102C22×D7311yescharacteristic, complemented
1485#102C22×D7311yescharacteristic, complemented
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#97C22×D7311yescharacteristic, complemented
1501C4×C8—731no—
1502C4×C8—731no—
1503C24—21no—
1504C24—21no—
1505C24—21no—
1506C24—2924no—
1507C24—5842no—
1508C24—5842no—
1509C24—731no—
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—21no—
1537C2×D4—21no—
1538C2×D4—21no—
1539C2×D4—21no—
1540C2×D4—41no—
1541C2×D4—41no—
1542C2×D4—41no—
1543C2×D4—41no—
1544C2×D4—41no—
1545C2×D4—82no—
1546C2×D4—2921no—
1547C2×D4—2921no—
1548C2×D4—2924no—
1549C2×D4—2924no—
1550C2×D4—2924no—
1551C2×D4—2924no—
1552C2×D4—2924no—
1553C2×D4—2924no—
1554C2×D4—2921no—
1555C2×D4—2921no—
1556C2×D4—2921no—
1557C2×D4—2921no—
1558C2×D4—2921no—
1559C2×D4—2921no—
1560C2×D4—2921no—
1561C2×D4—2921no—
1562C2×D4—2921no—
1563C2×D4—5842no—
1564C2×D4—5842no—
1565C2×D4—5842no—
1566C2×D4—5842no—
1567C2×D4—5842no—
1568C2×D4—5842no—
1569C2×D4—5842no—
1570C2×D4—5842no—
1571C2×D4—5842no—
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—731no—
1581C2×D4—731no—
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—1462no—
1601C2×D4—1462no—
1602C2×D4—1461no—
1603C2×D4—1461no—
1604C2×D4—1461no—
1605C2×D4—1461no—
1606C2×D4—1462no—
1607C2×D4—1462no—
1608C2×D4—1461no—
1609C2×D4—1461no—
1610C2×D4—1461no—
1611C2×D4—1461no—
1612C2×D4—1461no—
1613C2×D4—1461no—
1614C2×D4—1461no—
1615C2×D4—1461no—
1616C2×D4—1462no—
1617C2×D4—1461no—
1618C2×D4—1461no—
1619C2×D4—1461no—
1620C2×D4—1461no—
1621C2×D4D4×D7311yescharacteristic
1622C2×D4C23×D7311yescharacteristic
1623C2×D4C23×D7311yescharacteristic
1624C2×D4C23×D7311yescharacteristic
1625C2×D4C23×D7311yescharacteristic
1626C2×D4C23×D7311yescharacteristic
1627C22×C4—21no—
1628C22×C4—21no—
1629C22×C4—21no—
1630C22×C4—2921no—
1631C22×C4—2921no—
1632C22×C4—731no—
1633C22×C4—731no—
1634C22×C4—731no—
1635C22×C4—731no—
1636C22×C4—731no—
1637C22×C4—731no—
1638C22×C4—1461no—
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—41no—
1652SD16—41no—
1653SD16—2921no—
1654D8—22no—
1655D8—22no—
1656D8—22no—
1657D8—41no—
1658D8—41no—
1659D8—41no—
1660D8—2921no—
1661D8—2921no—
1662D8—2921no—
1663D8—2921no—
1664D8—2921no—
1665D8—2921no—
1666D8—2921no—
1667D8—2921no—
1668D8—2921no—
1669D8—1462no—
1670D8—1462no—
1671D8—1462no—
1672D8—1462no—
1673D8—1462no—
1674M16—41no—
1675M16—2921no—
1676C2×C8—41no—
1677C2×C8—2921no—
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—731no—
1692C4⋊C4—731no—
1693C4⋊C4—731no—
1694C4⋊C4—731no—
1695C4⋊C4—731no—
1696C4⋊C4—731no—
1697C4⋊C4—731no—
1698C4⋊C4—731no—
1699C4⋊C4—731no—
1700C4⋊C4—1461no—
1701C4⋊C4—1461no—
1702C4⋊C4—1461no—
1703C4⋊C4—1461no—
1704C4⋊C4—1461no—
1705C4⋊C4—1461no—
1706C4⋊C4—1461no—
1707C4⋊C4D4×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—731no—
1719C22⋊C4—731no—
1720C22⋊C4—731no—
1721C22⋊C4—731no—
1722C22⋊C4—731no—
1723C22⋊C4—731no—
1724C22⋊C4—731no—
1725C22⋊C4—731no—
1726C22⋊C4—1461no—
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—731no—
1756C42—1461no—
1757C42—1461no—
1758C42—1461no—
1759C42C23×D7311yescharacteristic
1760C23—21no—
1761C23—21no—
1762C23—21no—
1763C23—21no—
1764C23—21no—
1765C23—42no—
1766C23—42no—
1767C23—42no—
1768C23—81no—
1769C23—81no—
1770C23—81no—
1771C23—81no—
1772C23—81no—
1773C23—81no—
1774C23—2921no—
1775C23—2922no—
1776C23—2922no—
1777C23—2922no—
1778C23—2922no—
1779C23—2922no—
1780C23—2922no—
1781C23—2922no—
1782C23—2922no—
1783C23—2922no—
1784C23—2922no—
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—5841no—
1800C23—5841no—
1801C23—58416no—
1802C23—731no—
1803C23—731no—
1804C23—731no—
1805C23—1462no—
1806C23—1464no—
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—21no—
1824D4—21no—
1825D4—21no—
1826D4—21no—
1827D4—42no—
1828D4—42no—
1829D4—42no—
1830D4—81no—
1831D4—81no—
1832D4—81no—
1833D4—81no—
1834D4—81no—
1835D4—81no—
1836D4—2922no—
1837D4—2922no—
1838D4—2921no—
1839D4—2922no—
1840D4—2922no—
1841D4—2922no—
1842D4—2922no—
1843D4—2922no—
1844D4—2922no—
1845D4—2922no—
1846D4—2922no—
1847D4—2922no—
1848D4—2921no—
1849D4—2921no—
1850D4—2922no—
1851D4—2922no—
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—5841no—
1867D4—5841no—
1868D4—5841no—
1869D4—5841no—
1870D4—732no—
1871D4—1462no—
1872D4—1462no—
1873D4—1464no—
1874D4—1462no—
1875D4—1461no—
1876D4—1461no—
1877D4—1461no—
1878D4—1461no—
1879D4—1461no—
1880D4—1461no—
1881D4—1461no—
1882D4#1455663612yes—
1883C2×C4—21no—
1884C2×C4—21no—
1885C2×C4—21no—
1886C2×C4—21no—
1887C2×C4—21no—
1888C2×C4—21no—
1889C2×C4—21no—
1890C2×C4—42no—
1891C2×C4—81no—
1892C2×C4—81no—
1893C2×C4—2921no—
1894C2×C4—2921no—
1895C2×C4—2922no—
1896C2×C4—2922no—
1897C2×C4—2921no—
1898C2×C4—5841no—
1899C2×C4—5841no—
1900C2×C4—5841no—
1901C2×C4—5841no—
1902C2×C4—5841no—
1903C2×C4—5841no—
1904C2×C4—5841no—
1905C2×C4—5841no—
1906C2×C4—731no—
1907C2×C4—731no—
1908C2×C4—731no—
1909C2×C4—731no—
1910C2×C4—731no—
1911C2×C4—1461no—
1912C2×C4—1461no—
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—41no—
1949C22—41no—
1950C22—41no—
1951C22—41no—
1952C22—41no—
1953C22—41no—
1954C22—84no—
1955C22—162no—
1956C22—162no—
1957C22—2924no—
1958C22—2921no—
1959C22—2921no—
1960C22—2921no—
1961C22—2921no—
1962C22—2921no—
1963C22—2921no—
1964C22—2921no—
1965C22—2921no—
1966C22—2921no—
1967C22—2921no—
1968C22—2921no—
1969C22—5844no—
1970C22—5844no—
1971C22—5844no—
1972C22—5844no—
1973C22—5844no—
1974C22—732no—
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#1798939112yes—
1989C22C22×D4×D7311yescharacteristic
1990C4—21no—
1991C4—21no—
1992C4—21no—
1993C4—21no—
1994C4—41no—
1995C4—41no—
1996C4—41no—
1997C4—2921no—
1998C4—2921no—
1999C4—2921no—
2000C4—2921no—
2001C4—1461no—
2002C4—1461no—
2003C4—1461no—
2004C4—1461no—
2005C4—1461no—
2006C4H(5,𝔽2)×D7311yescharacteristic
2007C4C2×#1455663611yescharacteristic
2008C2—22no—
2009C2—41no—
2010C2—42no—
2011C2—81no—
2012C2—81no—
2013C2—81no—
2014C2—81no—
2015C2—2921no—
2016C2—2922no—
2017C2—2921no—
2018C2—5841no—
2019C2—5841no—
2020C2—5841no—
2021C2—1462no—
2022C2#2262355911yescharacteristic
2023C2#576×D7311yescharacteristic
2024C2C2×#1798939111yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3264C2
socleC22×C73C23×D4
hypercenter#3264D73
hypocenterC73#61630
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3264

Complements

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

NH ≅ G/Ntype
1. #22624162C2semidirect
2. #22623561C2semidirect
3. #22622077C2semidirect
4. #22622076C2semidirect
5. #22622074C2semidirect
6. #22622067C2semidirect
7. #22621788C2semidirect
8. #22621787C2semidirect
9. #22621781C2semidirect
10. #22621774C2semidirect
11. D4×#11924013C2semidirect
12. #22621603C2semidirect
13. D8×C22⋊D73C2semidirect
14. #22621601C2semidirect
15. #22621415C2semidirect
16. #22621410C2semidirect
17. #22621405C2semidirect
18. #22620978C2semidirect
19. #22620976C2semidirect
20. #22620794C2semidirect
21. #22620793C2semidirect
22. #22620699C2semidirect
23. #22620697C2semidirect
24. #22620173C2semidirect
25. #22620172C2semidirect
26. #22619198C2semidirect
27. #22619196C2semidirect
28. C2×#17988719C2semidirect
29. #447×D73C2semidirect
30. #22618982C2semidirect
31. C73×#3264C2semidirect
32. C2×#14556637C22semidirect
33. C22×D4×D73C22semidirect
34. C2×#14556618C22semidirect
35. C22×#11924013C22semidirect
36. C22×#11924013C22semidirect
37. C2×D8×D73C22semidirect
38. C2×D8×D73C22semidirect
39. C2×D8×D73C22semidirect
42. #17989289C22semidirect
43. #17989287C22semidirect
44. #17989284C22semidirect
45. #17989283C22semidirect
46. #17989230C22semidirect
48. #17989228C22semidirect
50. #17989225C22semidirect
51. D4×D292C22semidirect
52. D4×D292C22semidirect
53. #17989222C22semidirect
55. #17989221C22semidirect
57. D4×C22⋊D73C22semidirect
58. D4×C22⋊D73C22semidirect
59. D4×C22⋊D73C22semidirect
62. #17989191C22semidirect
63. #17989188C22semidirect
66. #17989155C22semidirect
67. #17989154C22semidirect
68. #17989153C22semidirect
69. #17989153C22semidirect
74. #17989100C22semidirect
76. C2×#14556562C22semidirect
77. #121×D73C22semidirect
80. #17989059C22semidirect
81. #17988973C22semidirect
82. #17988963C22semidirect
83. #17988962C22semidirect
84. #17988952C22semidirect
85. #17988950C22semidirect
86. #17988943C22semidirect
87. #17988941C22semidirect
88. #17988921C22semidirect
89. #17988920C22semidirect
90. #17988913C22semidirect
91. #17988913C22semidirect
92. #17988912C22semidirect
93. #17988910C22semidirect
94. #17988910C22semidirect
95. #17988910C22semidirect
96. #17988909C22semidirect
97. #17988908C22semidirect
98. #17988907C22semidirect
99. #17988906C22semidirect
100. #17988889C22semidirect
101. #17988888C22semidirect
102. #17988887C22semidirect
103. #17988886C22semidirect
104. #17988840C22semidirect
105. #17988839C22semidirect
106. #17988837C22semidirect
107. #17988823C22semidirect
108. #17988822C22semidirect
109. #17988822C22semidirect
110. #17988822C22semidirect
111. #17988821C22semidirect
112. #17988821C22semidirect
113. #17988821C22semidirect
114. #17988820C22semidirect
115. #17988818C22semidirect
116. #17988813C22semidirect
117. #17988813C22semidirect
118. #17988804C22semidirect
119. #17988804C22semidirect
120. #17988799C22semidirect
121. #17988783C22semidirect
122. #17988782C22semidirect
123. #17988781C22semidirect
124. #17988780C22semidirect
125. #17988780C22semidirect
126. #17988780C22semidirect
127. #17988779C22semidirect
128. #17988736C22semidirect
129. #17988735C22semidirect
130. #17988732C22semidirect
131. #17988731C22semidirect
132. #17988731C22semidirect
133. #17988731C22semidirect
134. #17988731C22semidirect
135. #17988731C22semidirect
136. #17988723C22semidirect
137. #17988723C22semidirect
138. #17988722C22semidirect
139. #17988722C22semidirect
140. #17988722C22semidirect
141. #17988722C22semidirect
142. #17988721C22semidirect
143. #17988721C22semidirect
144. #17988721C22semidirect
145. #17988720C22semidirect
146. #17988720C22semidirect
147. #17988719C22semidirect
148. #17988719C22semidirect
149. #17988719C22semidirect
150. #17988719C22semidirect
151. #17988719C22semidirect
152. #17988719C22semidirect
153. #17988719C22semidirect
154. #17988719C22semidirect
155. #17988719C22semidirect
156. #17988719C22semidirect
157. #17988719C22semidirect
158. #17988719C22semidirect
159. #17988719C22semidirect
160. #17988700C22semidirect
161. #17988699C22semidirect
162. #17988696C22semidirect
163. D8×Dic73C22semidirect
164. C4×#11924013C22semidirect
165. C4×#11924013C22semidirect
166. #17988667C22semidirect
167. #17988660C22semidirect
168. #17988656C22semidirect
169. #17988655C22semidirect
170. D4×#10596831C22semidirect
171. #17988652C22semidirect
172. C8×C22⋊D73C22semidirect
173. #17988650C22semidirect
174. #17988649C22semidirect
175. #17988647C22semidirect
176. #17988593C22semidirect
177. #17988590C22semidirect
178. #17988583C22semidirect
179. #17988582C22semidirect
180. C2×#14556513C22semidirect
181. C2×#14556512C22semidirect
182. #102×D73C22semidirect
183. #102×D73C22semidirect
184. #17988555C22semidirect
185. #17988552C22semidirect
186. C2×#14556503C22semidirect
187. C22⋊C8×D73C22semidirect
188. C2×AGL(1,ℤ/8)×C73C22semidirect
189. C22×D8×C73C22semidirect
190. #546×C73C22semidirect
191. D42×C73C22semidirect
192. #496×C73C22semidirect
193. #469×C73C22semidirect
194. #465×C73C22semidirect
195. #463×C73C22semidirect
196. #459×C73C22semidirect
197. #450×C73C22semidirect
198. #449×C73C22semidirect
199. #447×C73C22semidirect
200. #447×C73C22semidirect
201. #442×C73C22semidirect
202. #435×C73C22semidirect
235. C2×D4×D73C23semidirect
238. C2×#11924015C23semidirect
241. C2×D584C23semidirect
252. C2×#11924013C23semidirect
253. C2×#11924013C23semidirect
254. C2×#11924013C23semidirect
258. C2×#11924011C23semidirect
260. C22×#10596831C23semidirect
263. C2×C8×D73C23semidirect
269. #14556587C23semidirect
274. #14556583C23semidirect
275. #14556582C23semidirect
307. #14556565C23semidirect
336. #14556562C23semidirect
337. #14556562C23semidirect
368. C4×D292C23semidirect
371. D4×Dic73C23semidirect
372. D4×Dic73C23semidirect
383. #14556550C23semidirect
385. #14556549C23semidirect
396. #14556525C23semidirect
397. #14556524C23semidirect
398. #14556524C23semidirect
399. #14556524C23semidirect
400. #14556523C23semidirect
401. #14556523C23semidirect
402. #14556522C23semidirect
403. C4⋊#10596831C23semidirect
404. #14556520C23semidirect
405. #14556520C23semidirect
406. #14556515C23semidirect
407. #14556515C23semidirect
408. #14556515C23semidirect
415. #14556513C23semidirect
416. #14556513C23semidirect
417. #14556513C23semidirect
418. #14556513C23semidirect
425. #14556512C23semidirect
426. #14556512C23semidirect
427. #14556512C23semidirect
430. #14556511C23semidirect
431. #14556511C23semidirect
433. C22⋊#10596831C23semidirect
440. #14556503C23semidirect
441. #14556503C23semidirect
442. #14556501C23semidirect
443. C4×#10596831C23semidirect
444. C8×Dic73C23semidirect
449. C22×D4×C73C23semidirect
451. C2×SD16×C73C23semidirect
452. C2×SD16×C73C23semidirect
453. C2×SD16×C73C23semidirect
461. C2×M16×C73C23semidirect
463. #127×C73C23semidirect
471. #121×C73C23semidirect
477. C4×D4×C73C23semidirect
479. #106×C73C23semidirect
480. C4⋊C8×C73C23semidirect
481. #103×C73C23semidirect
484. #102×C73C23semidirect
485. #102×C73C23semidirect
486. #102×C73C23semidirect
488. C22⋊C8×C73C23semidirect
489. #97×C73C23semidirect
1030. #3264D73semidirect
1044. C73#61630semidirect
1048. C2×AGL(1,ℤ/8)C2×D73semidirect
1054. C22×D8C2×D73semidirect
1066. #546C2×D73semidirect
1078. D42C2×D73semidirect
1099. #496C2×D73semidirect
1125. #469C2×D73semidirect
1137. #465C2×D73semidirect
1141. #463C2×D73semidirect
1149. #459C2×D73semidirect
1151. #450C2×D73semidirect
1159. #449C2×D73semidirect
1184. #447C2×D73semidirect
1185. #447C2×D73semidirect
1189. #442C2×D73semidirect
1197. #435C2×D73semidirect
1253. C22×D4C22×D73semidirect
1258. C2×SD16C22×D73semidirect
1259. C2×SD16C22×D73semidirect
1260. C2×SD16C22×D73semidirect
1288. C2×M16C22×D73semidirect
1301. #127C22×D73semidirect
1377. #121C22×D73semidirect
1428. C4×D4C22×D73semidirect
1450. #106C22×D73semidirect
1454. C4⋊C8C22×D73semidirect
1458. #103C22×D73semidirect
1484. #102C22×D73semidirect
1485. #102C22×D73semidirect
1486. #102C22×D73semidirect
1498. C22⋊C8C22×D73semidirect
1500. #97C22×D73semidirect

Maximal subgroups

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

subgroupindex
#226241622
#226235612
#226220772
#226220762
#226220742
#226220672
#226217882
#226217872
#226217812
#226217742
D4×#119240132
#226216032
D8×C22⋊D732
#226216012
#226214152
#226214102
#226214052
#226209782
#226209762
#226207942
#226207932
#226206992
#226206972
#226201732
#226201722
#226191982
#226191962
C2×#179887192
#447×D732
#226189822
C73×#32642
#6163073