Finite Group Databasebeta

← #33972043

Subgroups — #33972043

Order 18688.

2282 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624149C211yesmaximal, characteristic, complemented
2#22623562C211yesmaximal, characteristic, complemented
3#22622013C211yesmaximal, characteristic, complemented
4#22622005C211yesmaximal, characteristic, complemented
5#22621893C211yesmaximal, characteristic, complemented
6#22621885C211yesmaximal, characteristic, complemented
7#22621751C211yesmaximal, characteristic, complemented
8#22621748C211yesmaximal, characteristic, complemented
9#22621740C211yesmaximal, characteristic, complemented
10#22621737C211yesmaximal, characteristic, complemented
11#22621636C211yesmaximal, characteristic, complemented
12#22621632C211yesmaximal, characteristic, complemented
13#22621614C211yesmaximal, characteristic, complemented
14#22621610C211yesmaximal, characteristic, complemented
15#22621424C211yesmaximal, characteristic, complemented
16#22621420C211yesmaximal, characteristic, complemented
17#22621409C211yesmaximal, characteristic, complemented
18#22621405C211yesmaximal, characteristic, complemented
19#22621031C211yesmaximal, characteristic, complemented
20#22621023C211yesmaximal, characteristic, complemented
21#22620785C211yesmaximal, characteristic, complemented
22#22620777C211yesmaximal, characteristic, complemented
23#22620710C211yesmaximal, characteristic, complemented
24#22620694C211yesmaximal, characteristic, complemented
25#22620116C211yesmaximal, characteristic, complemented
26#22620108C211yesmaximal, characteristic, complemented
27#22619235C211yesmaximal, characteristic, complemented
28#450×D73C211yesmaximal, characteristic, complemented
29#447×D73C211yesmaximal, characteristic, complemented
30#22618983C211yesmaximal, characteristic, complemented
31C73×#3012C211yesmaximal, characteristic, complemented
32C22×D4×D73C2211yescharacteristic
33C2×#14556617C2211yescharacteristic, complemented
34C2×#14556611C2211yescharacteristic, complemented
35C2×SD16×D73C2211yescharacteristic, complemented
36C2×SD16×D73C2211yescharacteristic, complemented
37C2×D8×D73C2211yescharacteristic, complemented
38C2×D8×D73C2211yescharacteristic, complemented
39#17989332—21no—
40#17989332—21no—
41#17989295C2211yescharacteristic, complemented
42#17989292C2211yescharacteristic, complemented
43#17989247C2211yescharacteristic, complemented
44#17989244C2211yescharacteristic, complemented
45#17989238C2211yescharacteristic, complemented
46#17989237C2211yescharacteristic, complemented
47#17989234—21no—
48#17989234C2211yescharacteristic, complemented
49#17989226—21no—
50#17989225—21no—
51#17989225—21no—
52#17989225C2211yescharacteristic
53#17989225C2211yescharacteristic
54#17989225C2211yescharacteristic, complemented
55#17989225C2211yescharacteristic, complemented
56#17989225C2211yescharacteristic, complemented
57D4×C22⋊D73—21no—
58D4×C22⋊D73—21no—
59D4×C22⋊D73C2211yescharacteristic
60D4×C22⋊D73C2211yescharacteristic
61D4×C22⋊D73C2211yescharacteristic, complemented
62D4×C22⋊D73C2211yescharacteristic, complemented
63#17989212—21no—
64#17989210C2211yescharacteristic, complemented
65#17989204C2211yescharacteristic, complemented
66#17989183—21no—
67#17989169—21no—
68#17989166—21no—
69#17989165C2211yescharacteristic, complemented
70#17989151C2211yescharacteristic, complemented
71#17989151C2211yescharacteristic, complemented
72#17989146—21no—
73#17989146—21no—
74#17989094C2211yescharacteristic
75#17989094C2211yescharacteristic
76C22⋊Q8×D73C2211yescharacteristic, complemented
77#121×D73C2211yescharacteristic, complemented
78C2×#14556559—21no—
79C2×#14556559—21no—
80#17989062C2211yescharacteristic, complemented
81#17988975C2211yescharacteristic, complemented
82#17988973C2211yescharacteristic, complemented
83#17988972C2211yescharacteristic, complemented
84#17988968C2211yescharacteristic, complemented
85#17988948C2211yescharacteristic, complemented
86#17988948C2211yescharacteristic, complemented
87#17988932C2211yescharacteristic, complemented
88#17988932C2211yescharacteristic, complemented
89#17988929C2211yescharacteristic, complemented
90#17988925C2211yescharacteristic, complemented
91#17988921C2211yescharacteristic, complemented
92#17988916C2211yescharacteristic, complemented
93#17988912C2211yescharacteristic, complemented
94#17988908C2211yescharacteristic, complemented
95#17988906C2211yescharacteristic, complemented
96#17988905C2211yescharacteristic, complemented
97#17988904C2211yescharacteristic, complemented
98#17988901C2211yescharacteristic, complemented
99#17988900C2211yescharacteristic, complemented
100#17988899C2211yescharacteristic, complemented
101#17988875C2211yescharacteristic, complemented
102#17988875C2211yescharacteristic, complemented
103#17988865C2211yescharacteristic, complemented
104#17988865C2211yescharacteristic, complemented
105#17988840C2211yescharacteristic, complemented
106#17988838C2211yescharacteristic, complemented
107#17988835C2211yescharacteristic, complemented
108#17988833C2211yescharacteristic, complemented
109#17988827C2211yescharacteristic, complemented
110#17988825C2211yescharacteristic, complemented
111#17988823C2211yescharacteristic, complemented
112#17988822C2211yescharacteristic, complemented
113#17988821C2211yescharacteristic, complemented
114#17988820C2211yescharacteristic, complemented
115#17988819C2211yescharacteristic, complemented
116#17988818C2211yescharacteristic, complemented
117#17988816C2211yescharacteristic, complemented
118#17988815C2211yescharacteristic, complemented
119#17988813C2211yescharacteristic, complemented
120#17988813C2211yescharacteristic, complemented
121#17988812C2211yescharacteristic, complemented
122#17988811C2211yescharacteristic, complemented
123#17988805C2211yescharacteristic, complemented
124#17988804C2211yescharacteristic, complemented
125#17988804C2211yescharacteristic, complemented
126#17988804C2211yescharacteristic, complemented
127#17988800C2211yescharacteristic, complemented
128#17988800C2211yescharacteristic, complemented
129#17988786C2211yescharacteristic, complemented
130#17988785C2211yescharacteristic, complemented
131#17988781C2211yescharacteristic, complemented
132#17988780C2211yescharacteristic, complemented
133#17988749C2211yescharacteristic, complemented
134#17988749C2211yescharacteristic, complemented
135#17988741C2211yescharacteristic, complemented
136#17988740C2211yescharacteristic, complemented
137#17988739C2211yescharacteristic, complemented
138#17988739C2211yescharacteristic, complemented
139#17988738C2211yescharacteristic, complemented
140#17988738C2211yescharacteristic, complemented
141#17988737C2211yescharacteristic, complemented
142#17988736C2211yescharacteristic, complemented
143#17988736C2211yescharacteristic, complemented
144#17988736C2211yescharacteristic, complemented
145#17988734C2211yescharacteristic, complemented
146#17988734C2211yescharacteristic, complemented
147#17988732C2211yescharacteristic, complemented
148#17988732C2211yescharacteristic, complemented
149#17988732C2211yescharacteristic, complemented
150#17988732C2211yescharacteristic, complemented
151#17988724C2211yescharacteristic, complemented
152#17988723C2211yescharacteristic, complemented
153#17988722C2211yescharacteristic, complemented
154#17988722C2211yescharacteristic, complemented
155#17988721C2211yescharacteristic
156#17988721C2211yescharacteristic, complemented
157#17988720C2211yescharacteristic, complemented
158#17988719C2211yescharacteristic, complemented
159#17988719C2211yescharacteristic, complemented
160#17988719C2211yescharacteristic, complemented
161#17988699C2211yescharacteristic, complemented
162#17988696C2211yescharacteristic, complemented
163#17988688C2211yescharacteristic, complemented
164#17988684C2211yescharacteristic, complemented
165#17988678C2211yescharacteristic, complemented
166SD16×Dic73C2211yescharacteristic, complemented
167D8×Dic73C2211yescharacteristic, complemented
168#17988667C2211yescharacteristic, complemented
169#17988661C2211yescharacteristic, complemented
170#17988661C2211yescharacteristic, complemented
171#17988656C2211yescharacteristic, complemented
172#17988656C2211yescharacteristic, complemented
173C8×C22⋊D73C2211yescharacteristic, complemented
174C8×C22⋊D73C2211yescharacteristic, complemented
175#17988650C2211yescharacteristic, complemented
176#17988650C2211yescharacteristic, complemented
177#17988645C2211yescharacteristic, complemented
178#17988645C2211yescharacteristic, complemented
179#17988588C2211yescharacteristic, complemented
180C2×#14556512C2211yescharacteristic, complemented
181#102×D73C2211yescharacteristic, complemented
182#102×D73C2211yescharacteristic, complemented
183#102×D73C2211yescharacteristic, complemented
184#102×D73C2211yescharacteristic, complemented
185#17988554C2211yescharacteristic, complemented
186C22⋊C8×D73C2211yescharacteristic, complemented
187C22⋊C8×D73C2211yescharacteristic, complemented
188C2×H(5,𝔽2)×C73C2211yescharacteristic, complemented
189C2×AGL(1,ℤ/8)×C73C2211yescharacteristic, complemented
190C2×#135×C73C2211yescharacteristic, complemented
191#537×C73C2211yescharacteristic, complemented
192#452×C73C2211yescharacteristic, complemented
193#452×C73C2211yescharacteristic, complemented
194#450×C73C2211yescharacteristic, complemented
195#450×C73C2211yescharacteristic, complemented
196#449×C73C2211yescharacteristic, complemented
197#449×C73C2211yescharacteristic, complemented
198#447×C73C2211yescharacteristic
199#447×C73C2211yescharacteristic, complemented
200#417×C73C2211yescharacteristic, complemented
201C2×#102×C73C2211yescharacteristic, complemented
202#408×C73C2211yescharacteristic, complemented
203C24×D73—21no—
204C2×#11924028—21no—
205C2×#11924028C2311yescharacteristic, complemented
206C2×#11924027—21no—
207C2×Q8×D73C2311yescharacteristic
208C22×D292C2311yescharacteristic
209C22×C22⋊D73—21no—
210C22×C22⋊D73—21no—
211C22×C22⋊D73—21no—
212C22×C22⋊D73—21no—
213C22×C22⋊D73—21no—
214C2×D4×D73—21no—
215C2×D4×D73—21no—
216C2×D4×D73—21no—
217C2×D4×D73—42no—
218C2×D4×D73—42no—
219C2×D4×D73C2311yescharacteristic
220C2×D4×D73C2311yescharacteristic
221C2×D4×D73C2311yescharacteristic
222C2×D4×D73C2311yescharacteristic
223C2×D4×D73C2311yescharacteristic
224C22×C4×D73C2311yescharacteristic
225#14556617—42no—
226#14556611—42no—
227C2×#11924018C2311yescharacteristic, complemented
228C2×#11924017C2311yescharacteristic
229C2×#11924017C2311yescharacteristic
230C2×#11924016C2311yescharacteristic
231C2×#11924016C2311yescharacteristic
232C2×#11924016C2311yescharacteristic, complemented
233C2×#11924015C2311yescharacteristic
234C2×#11924015C2311yescharacteristic
235C2×#11924015C2311yescharacteristic, complemented
236SD16×D73—42no—
237SD16×D73—42no—
238C2×D584C2311yescharacteristic
239C2×D584C2311yescharacteristic
240C2×#11924013C2311yescharacteristic
241C2×#11924013C2311yescharacteristic
242C2×#11924013C2311yescharacteristic
243C2×#11924013C2311yescharacteristic
244C2×#11924013C2311yescharacteristic, complemented
245D8×D73—42no—
246D8×D73—42no—
247C2×#11924012C2311yescharacteristic, complemented
248C22×#10596831C2311yescharacteristic, complemented
249C2×C8×D73C2311yescharacteristic
250C2×C8×D73C2311yescharacteristic
251C2×C8×D73C2311yescharacteristic
252C2×C8×D73C2311yescharacteristic
253#14556590C2311yescharacteristic, complemented
254#14556590C2311yescharacteristic, complemented
255#14556587—21no—
256#14556587C2311yescharacteristic
257#14556587C2311yescharacteristic
258#14556586—21no—
259#14556584—21no—
260#14556581—21no—
261#14556581—21no—
262#14556580—21no—
263#14556580C2311yescharacteristic
264#14556580C2311yescharacteristic
265#14556580C2311yescharacteristic, complemented
266#14556578—21no—
267#14556578—21no—
268#14556578C2311yescharacteristic, complemented
269#14556577—21no—
270#14556577—21no—
271#14556576—21no—
272#14556574—21no—
273#14556574—21no—
274#14556574—21no—
275#14556574—21no—
276#14556574—21no—
277#14556574—21no—
278#14556573—21no—
279#14556573—21no—
280#14556573—21no—
281#14556572—21no—
282#14556572—21no—
283#14556572—21no—
284#14556572D411yescharacteristic
285#14556572D411yescharacteristic
286#14556571—21no—
287#14556571—21no—
288#14556571C2311yescharacteristic
289#14556570—21no—
290#14556570—21no—
291#14556570C2311yescharacteristic
292#14556570C2311yescharacteristic, complemented
293#14556569—21no—
294#14556569—21no—
295#14556569—21no—
296#14556569—21no—
297#14556568—21no—
298#14556568—21no—
299#14556568—21no—
300#14556568—21no—
301#14556567—21no—
302#14556567D411yescharacteristic
303#14556567D411yescharacteristic
304#14556567C2311yescharacteristic
305#14556567C2311yescharacteristic
306#14556567C2311yescharacteristic
307#14556566C2311yescharacteristic
308#14556565—21no—
309#14556565—21no—
310#14556565C2311yescharacteristic
311#14556565C2311yescharacteristic
312#14556565C2311yescharacteristic
313#14556565C2311yescharacteristic
314#14556565C2311yescharacteristic
315#14556565C2311yescharacteristic, complemented
316#14556564—21no—
317#14556564—21no—
318#14556563—21no—
319#14556563—21no—
320#14556563—21no—
321#14556563—21no—
322#14556563—21no—
323#14556563—21no—
324#14556563—21no—
325#14556563—21no—
326#14556563—21no—
327#14556563—21no—
328#14556563—21no—
329#14556563—21no—
330#14556562—21no—
331#14556562—21no—
332#14556562—21no—
333#14556562D411yescharacteristic
334#14556562D411yescharacteristic
335#14556562C2311yescharacteristic
336#14556562C2311yescharacteristic
337#14556562C2311yescharacteristic
338#14556560—21no—
339#14556560—21no—
340#14556560—21no—
341#14556560—21no—
342#14556559—21no—
343#14556559—21no—
344#14556559—21no—
345#14556559—21no—
346#14556559—21no—
347#14556559—21no—
348#14556559—21no—
349#14556559—21no—
350#14556559—21no—
351#14556559—21no—
352#14556559—21no—
353#14556559—21no—
354#14556559—21no—
355#14556559—21no—
356#14556559—21no—
357#14556559D411yescharacteristic
358#14556559D411yescharacteristic
359Q8×Dic73C2311yescharacteristic, complemented
360#14556556C2311yescharacteristic, complemented
361D4×Dic73—21no—
362D4×Dic73—21no—
363D4×Dic73C2311yescharacteristic
364D4×Dic73C2311yescharacteristic
365D4×Dic73C2311yescharacteristic
366D4×Dic73C2311yescharacteristic
367D4×Dic73C2311yescharacteristic, complemented
368#14556553—21no—
369#14556553C2311yescharacteristic, complemented
370C4×C22⋊D73—21no—
371C4×C22⋊D73—21no—
372C4×C22⋊D73—21no—
373C4×C22⋊D73—21no—
374C4×C22⋊D73C2311yescharacteristic
375C4×C22⋊D73C2311yescharacteristic
376C4×C22⋊D73C2311yescharacteristic
377C4×C22⋊D73C2311yescharacteristic
378#14556551—21no—
379#14556550C2311yescharacteristic
380#14556550C2311yescharacteristic
381C2×C4⋊Dic73C2311yescharacteristic, complemented
382C4⋊C4×D73—21no—
383C4⋊C4×D73C2311yescharacteristic
384C4⋊C4×D73C2311yescharacteristic
385C2×C22⋊Dic73—21no—
386C2×C22⋊Dic73—21no—
387C2×#11924005—21no—
388C2×#11924005—21no—
389C2×#11924005—21no—
390C2×#11924005—21no—
391C2×#11924005—21no—
392C22⋊C4×D73—21no—
393C22⋊C4×D73—21no—
394C22⋊C4×D73—21no—
395#14556525C2311yescharacteristic, complemented
396#14556525C2311yescharacteristic, complemented
397#14556524C2311yescharacteristic, complemented
398#14556524C2311yescharacteristic, complemented
399#14556523C2311yescharacteristic, complemented
400#14556523C2311yescharacteristic, complemented
401#14556522C2311yescharacteristic, complemented
402#14556522C2311yescharacteristic, complemented
403#14556520C2311yescharacteristic, complemented
404#14556520C2311yescharacteristic, complemented
405#14556520C2311yescharacteristic, complemented
406#14556520C2311yescharacteristic, complemented
407#14556516C2311yescharacteristic, complemented
408#14556516C2311yescharacteristic, complemented
409#14556515C2311yescharacteristic, complemented
410#14556515C2311yescharacteristic, complemented
411#14556515C2311yescharacteristic, complemented
412#14556515C2311yescharacteristic, complemented
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556513C2311yescharacteristic, complemented
418#14556513C2311yescharacteristic, complemented
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556512C2311yescharacteristic, complemented
424#14556512C2311yescharacteristic, complemented
425#14556512C2311yescharacteristic, complemented
426#14556512C2311yescharacteristic, complemented
427#14556511C2311yescharacteristic
428#14556511C2311yescharacteristic
429#14556511C2311yescharacteristic
430#14556511C2311yescharacteristic
431C22⋊#10596831C2311yescharacteristic
432C22⋊#10596831C2311yescharacteristic
433C22⋊#10596831C2311yescharacteristic, complemented
434C22⋊#10596831C2311yescharacteristic, complemented
435#14556503C2311yescharacteristic
436#14556503C2311yescharacteristic
437#14556503C2311yescharacteristic
438#14556503C2311yescharacteristic
439#14556501C2311yescharacteristic, complemented
440#14556501C2311yescharacteristic, complemented
441C8×Dic73C2311yescharacteristic, complemented
442C8×Dic73C2311yescharacteristic, complemented
443H(5,𝔽2)×C73—42no—
444H(5,𝔽2)×C73—42no—
445C2×#41×C73—21no—
446C2×#41×C73C2311yescharacteristic
447C2×#41×C73C2311yescharacteristic
448C2×#41×C73C2311yescharacteristic
449C2×#41×C73C2311yescharacteristic
450C2×#41×C73C2311yescharacteristic, complemented
451C22×D4×C73—21no—
452C22×D4×C73—21no—
453C22×D4×C73—21no—
454C22×D4×C73C2311yescharacteristic
455C22×D4×C73C2311yescharacteristic
456C22×D4×C73C2311yescharacteristic
457AGL(1,ℤ/8)×C73—42no—
458#135×C73—42no—
459C2×Q16×C73C2311yescharacteristic, complemented
460C2×SD16×C73C2311yescharacteristic
461C2×SD16×C73C2311yescharacteristic
462C2×SD16×C73C2311yescharacteristic, complemented
463C2×SD16×C73C2311yescharacteristic, complemented
464C2×D8×C73C2311yescharacteristic
465C2×D8×C73C2311yescharacteristic
466C2×D8×C73C2311yescharacteristic, complemented
467C2×M16×C73C2311yescharacteristic, complemented
468C22×C8×C73C2311yescharacteristic, complemented
469C22⋊Q8×C73—21no—
470C22⋊Q8×C73C2311yescharacteristic
471C22⋊Q8×C73C2311yescharacteristic, complemented
472#121×C73—21no—
473#121×C73—21no—
474#121×C73—21no—
475#121×C73C2311yescharacteristic
476#121×C73C2311yescharacteristic, complemented
477C2×C4⋊C4×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, complemented
485#102×C73C2311yescharacteristic, complemented
486C22⋊C8×C73C2311yescharacteristic
487C22⋊C8×C73C2311yescharacteristic
488C22⋊C8×C73C2311yescharacteristic, complemented
489C22⋊C8×C73C2311yescharacteristic, complemented
490C23×D73—21no—
491C23×D73—21no—
492C23×D73—21no—
493C23×D73—21no—
494C23×D73—21no—
495C23×D73—21no—
496C23×D73—44no—
497C23×D73—82no—
498C23×D73—82no—
499C23×D73C2×D411yescharacteristic
500#11924028—41no—
501#11924028—41no—
502#11924028—82no—
503#11924027—82no—
504C2×Dic146—21no—
505C2×Dic146—21no—
506C2×Dic146—21no—
507C2×Dic146C2411yescharacteristic
508Q8×D73—41no—
509Q8×D73—41no—
510C2×D292—21no—
511C2×D292—21no—
512C2×D292—41no—
513C2×D292—41no—
514C2×D292C2411yescharacteristic
515C2×D292C2411yescharacteristic
516C2×D292C2411yescharacteristic
517C2×C22⋊D73—21no—
518C2×C22⋊D73—21no—
519C2×C22⋊D73—21no—
520C2×C22⋊D73—21no—
521C2×C22⋊D73—21no—
522C2×C22⋊D73—21no—
523C2×C22⋊D73—21no—
524C2×C22⋊D73—21no—
525C2×C22⋊D73—21no—
526C2×C22⋊D73—21no—
527C2×C22⋊D73—21no—
528C2×C22⋊D73—21no—
529C2×C22⋊D73—21no—
530C2×C22⋊D73—21no—
531C2×C22⋊D73—21no—
532C2×C22⋊D73—21no—
533C2×C22⋊D73—21no—
534C2×C22⋊D73—21no—
535C2×C22⋊D73—21no—
536C2×C22⋊D73—44no—
537C2×C22⋊D73—82no—
538C2×C22⋊D73—82no—
539C2×C22⋊D73—82no—
540C2×C22⋊D73—82no—
541C2×C22⋊D73C2×D411yescharacteristic
542C2×C22⋊D73C2×D411yescharacteristic
543C2×C22⋊D73C2×D411yescharacteristic
544C2×C22⋊D73C2×D411yescharacteristic
545D4×D73—22no—
546D4×D73—22no—
547D4×D73—22no—
548D4×D73—22no—
549D4×D73—41no—
550D4×D73—41no—
551D4×D73—41no—
552D4×D73—41no—
553D4×D73—41no—
554D4×D73—41no—
555D4×D73—44no—
556D4×D73—44no—
557D4×D73—82no—
558C22×Dic73—21no—
559C22×Dic73—21no—
560C22×Dic73—21no—
561C22×Dic73—21no—
562C22×Dic73—21no—
563C22×Dic73—21no—
564C22×Dic73C2×D411yescharacteristic
565C2×C4×D73—21no—
566C2×C4×D73—21no—
567C2×C4×D73—21no—
568C2×C4×D73—21no—
569C2×C4×D73—21no—
570C2×C4×D73—41no—
571C2×C4×D73—41no—
572C2×C4×D73C2×D411yescharacteristic
573C2×C4×D73C2×D411yescharacteristic
574C2×C4×D73C2411yescharacteristic
575C2×C4×D73C2411yescharacteristic
576#11924018—41no—
577#11924017—41no—
578#11924017—41no—
579#11924016—22no—
580#11924016—22no—
581#11924016—41no—
582#11924015—41no—
583#11924015—41no—
584#11924015—41no—
585D584—41no—
586D584—41no—
587#11924013—22no—
588#11924013—22no—
589#11924013—41no—
590#11924013—41no—
591#11924013—41no—
592#11924012—41no—
593C2×#10596831—41no—
594C2×#10596831C2411yescharacteristic
595C2×#10596831C2411yescharacteristic
596C2×#10596831C2411yescharacteristic
597C2×#10596831C2411yescharacteristic
598C8×D73—41no—
599C8×D73—41no—
600C8×D73—41no—
601C8×D73—41no—
602C4⋊Dic73—21no—
603C4⋊Dic73—21no—
604C4⋊Dic73—21no—
605C4⋊Dic73C2×D411yescharacteristic
606C4⋊Dic73C2×D411yescharacteristic
607C4⋊Dic73C2411yescharacteristic
608C4⋊Dic73C2411yescharacteristic
609C4⋊Dic73C2411yescharacteristic
610C4⋊Dic73C2411yescharacteristic
611#11924007—21no—
612#11924007—21no—
613#11924007—21no—
614#11924007—21no—
615#11924007—21no—
616#11924007—21no—
617#11924007—21no—
618#11924007—21no—
619#11924007—21no—
620#11924007—21no—
621#11924007C2×D411yescharacteristic
622#11924007C2×D411yescharacteristic
623#11924007C2×D411yescharacteristic
624#11924007C2×D411yescharacteristic
625C22⋊Dic73—21no—
626C22⋊Dic73—21no—
627C22⋊Dic73—21no—
628C22⋊Dic73—21no—
629C22⋊Dic73—21no—
630C22⋊Dic73—21no—
631C22⋊Dic73—21no—
632C22⋊Dic73—21no—
633C22⋊Dic73—21no—
634C22⋊Dic73—21no—
635C22⋊Dic73—21no—
636C22⋊Dic73—21no—
637C22⋊Dic73—21no—
638C22⋊Dic73C2×D411yescharacteristic
639C22⋊Dic73C2×D411yescharacteristic
640C22⋊Dic73C2×D411yescharacteristic
641C22⋊Dic73C2×D411yescharacteristic
642C22⋊Dic73C2×D411yescharacteristic
643C22⋊Dic73C2×D411yescharacteristic
644#11924005—21no—
645#11924005—21no—
646#11924005—21no—
647#11924005—21no—
648#11924005—21no—
649#11924005—21no—
650#11924005—21no—
651#11924005—21no—
652#11924005—21no—
653#11924005—21no—
654#11924005—21no—
655#11924005—21no—
656#11924005—21no—
657#11924005—21no—
658#11924005—21no—
659#11924005—21no—
660#11924005—21no—
661#11924005—21no—
662#11924005C2×D411yescharacteristic
663#11924005C2×D411yescharacteristic
664#11924005C2×D411yescharacteristic
665#11924005C2×D411yescharacteristic
666C4×Dic73—21no—
667C4×Dic73—21no—
668C4×Dic73—21no—
669C4×Dic73C2411yescharacteristic
670C4×Dic73C2411yescharacteristic
671C24×C73—21no—
672C24×C73—21no—
673C24×C73—21no—
674#41×C73—22no—
675#41×C73—22no—
676#41×C73—41no—
677#41×C73—41no—
678#41×C73—41no—
679#41×C73—41no—
680#41×C73—41no—
681#41×C73—41no—
682#41×C73—41no—
683#41×C73—41no—
684#41×C73—44no—
685C2×Q8×C73C2×D411yescharacteristic
686C2×Q8×C73C2411yescharacteristic
687C2×Q8×C73C2411yescharacteristic
688C2×D4×C73—22no—
689C2×D4×C73—22no—
690C2×D4×C73—22no—
691C2×D4×C73—22no—
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—21no—
701C2×D4×C73—41no—
702C2×D4×C73—41no—
703C2×D4×C73—44no—
704C2×D4×C73—44no—
705C2×D4×C73—44no—
706C2×D4×C73C2×D411yescharacteristic
707C2×D4×C73C2×D411yescharacteristic
708C2×D4×C73C2×D411yescharacteristic
709C2×D4×C73C2411yescharacteristic
710C2×D4×C73C2411yescharacteristic
711C2×D4×C73C2411yescharacteristic
712C2×D4×C73C2411yescharacteristic
713C22×C4×C73—21no—
714C22×C4×C73—21no—
715C22×C4×C73—21no—
716C22×C4×C73—21no—
717C22×C4×C73—21no—
718C22×C4×C73C2411yescharacteristic
719C22×C4×C73C2411yescharacteristic
720C22×C4×C73C2411yescharacteristic
721Q16×C73—41no—
722SD16×C73—22no—
723SD16×C73—22no—
724SD16×C73—41no—
725SD16×C73—41no—
726D8×C73—22no—
727D8×C73—22no—
728D8×C73—41no—
729M16×C73—41no—
730C2×C8×C73—41no—
731C2×C8×C73C2411yescharacteristic
732C2×C8×C73C2411yescharacteristic
733C2×C8×C73C2411yescharacteristic
734C2×C8×C73C2411yescharacteristic
735C4⋊C4×C73—21no—
736C4⋊C4×C73—21no—
737C4⋊C4×C73—21no—
738C4⋊C4×C73C2411yescharacteristic
739C4⋊C4×C73C2411yescharacteristic
740C22⋊C4×C73—21no—
741C22⋊C4×C73—21no—
742C22⋊C4×C73—21no—
743C22⋊C4×C73—21no—
744C23×C73—24no—
745C23×C73—21no—
746C23×C73—21no—
747C23×C73—21no—
748C23×C73—21no—
749C23×C73—42no—
750C23×C73—42no—
751C23×C73—81no—
752C23×C73—81no—
753C23×C73—81no—
754C23×C73—81no—
755C23×C73—81no—
756C23×C73—81no—
757C23×C73C22×D411yescharacteristic
758C23×C73C22×D411yescharacteristic
759C23×C73C22×D411yescharacteristic
760C22×D73—22no—
761C22×D73—22no—
762C22×D73—21no—
763C22×D73—21no—
764C22×D73—21no—
765C22×D73—41no—
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—816no—
785C22×D73C22×D411yescharacteristic
786C22×D73C22×D411yescharacteristic
787Q8×C73—21no—
788Q8×C73—21no—
789Q8×C73—21no—
790Q8×C73—21no—
791Q8×C73—41no—
792D4×C73—24no—
793D4×C73—21no—
794D4×C73—21no—
795D4×C73—21no—
796D4×C73—21no—
797D4×C73—21no—
798D4×C73—21no—
799D4×C73—41no—
800D4×C73—41no—
801D4×C73—41no—
802D4×C73—42no—
803D4×C73—42no—
804D4×C73—42no—
805D4×C73—42no—
806D4×C73—42no—
807D4×C73—81no—
808D4×C73—81no—
809D4×C73—81no—
810D4×C73H(5,𝔽2)12yes—
811D4×C73H(5,𝔽2)12yes—
812C2×C4×C73—21no—
813C2×C4×C73—21no—
814C2×C4×C73—21no—
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—42no—
823C2×C4×C73—42no—
824C2×C4×C73—42no—
825C2×C4×C73—81no—
826C2×C4×C73—81no—
827C2×C4×C73C22×D411yescharacteristic
828C2×C4×C73C22×D411yescharacteristic
829C2×C4×C73C22×D411yescharacteristic
830C2×C4×C73C2511yescharacteristic
831C22⋊D73—22no—
832C22⋊D73—22no—
833C22⋊D73—22no—
834C22⋊D73—22no—
835C22⋊D73—42no—
836C22⋊D73—42no—
837C22⋊D73—42no—
838C22⋊D73—42no—
839C22⋊D73—42no—
840C22⋊D73—42no—
841C22⋊D73—42no—
842C22⋊D73—81no—
843C22⋊D73—81no—
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—21no—
857C2×Dic73—21no—
858C2×Dic73—21no—
859C2×Dic73—41no—
860C2×Dic73—81no—
861C2×Dic73—81no—
862C2×Dic73—81no—
863C2×Dic73—81no—
864C2×Dic73—81no—
865C2×Dic73—81no—
866C2×Dic73C22×D411yescharacteristic
867C2×Dic73C22×D411yescharacteristic
868C2×Dic73C22×D411yescharacteristic
869C2×Dic73C22×D411yescharacteristic
870C2×Dic73C22×D411yescharacteristic
871C2×Dic73C22×D411yescharacteristic
872D292—21no—
873D292—21no—
874D292—21no—
875D292—21no—
876D292—21no—
877D292—21no—
878D292—42no—
879D292—42no—
880C4×D73—21no—
881C4×D73—21no—
882C4×D73—21no—
883C4×D73—21no—
884C4×D73—41no—
885C4×D73—41no—
886C4×D73—42no—
887C4×D73—81no—
888C4×D73—81no—
889C4×D73—81no—
890C4×D73—81no—
891Dic146—21no—
892Dic146—21no—
893Dic146—81no—
894Dic146—81no—
895Dic146—81no—
896C8×C73—21no—
897C8×C73—21no—
898C8×C73—21no—
899C8×C73—21no—
900#10596831—21no—
901#10596831—21no—
902#10596831—21no—
903#10596831—21no—
904C22×C73—21no—
905C22×C73—22no—
906C22×C73—22no—
907C22×C73—21no—
908C22×C73—21no—
909C22×C73—21no—
910C22×C73—21no—
911C22×C73—21no—
912C22×C73—21no—
913C22×C73—21no—
914C22×C73—21no—
915C22×C73—41no—
916C22×C73—41no—
917C22×C73—41no—
918C22×C73—41no—
919C22×C73—41no—
920C22×C73—41no—
921C22×C73—41no—
922C22×C73—41no—
923C22×C73—41no—
924C22×C73—41no—
925C22×C73—84no—
926C22×C73—162no—
927C22×C73—162no—
928C22×C73C23×D411yescharacteristic
929C2×D73—21no—
930C2×D73—21no—
931C2×D73—21no—
932C2×D73—21no—
933C2×D73—44no—
934C2×D73—41no—
935C2×D73—41no—
936C2×D73—41no—
937C2×D73—41no—
938C2×D73—41no—
939C2×D73—41no—
940C2×D73—41no—
941C2×D73—41no—
942C2×D73—41no—
943C2×D73—84no—
944C2×D73—84no—
945C2×D73—84no—
946C2×D73—84no—
947C2×D73—84no—
948C2×D73—162no—
949C2×D73#57612yes—
950C2×D73#57712yes—
951C4×C73—21no—
952C4×C73—21no—
953C4×C73—21no—
954C4×C73—41no—
955C4×C73—41no—
956C4×C73—41no—
957C4×C73—41no—
958C4×C73C2×H(5,𝔽2)11yescharacteristic
959C4×C73C2×H(5,𝔽2)11yescharacteristic
960Dic73—21no—
961Dic73—21no—
962Dic73—21no—
963Dic73—21no—
964Dic73—21no—
965Dic73—21no—
966Dic73—41no—
967Dic73—41no—
968Dic73—41no—
969Dic73—41no—
970Dic73—41no—
971#61629—731nomaximal, Sylow
972C2×C73—41no—
973C2×C73—42no—
974C2×C73—42no—
975C2×C73—41no—
976C2×C73—41no—
977C2×C73—81no—
978C2×C73—81no—
979C2×C73#348411yescharacteristic
980C2×C73C2×#57611yescharacteristic
981C2×C73C2×#57711yescharacteristic
982D73—22no—
983D73—22no—
984D73—81no—
985D73—81no—
986D73—81no—
987#3536—731no—
988#3484—731no—
989#3314—731no—
990#3314—731no—
991#3306—731no—
992#3306—731no—
993#3295—731no—
994#3295—731no—
995#3294—731no—
996#3294—731no—
997#3282—731no—
998#3282—731no—
999#3280—731no—
1000#3280—731no—
1001#3265—731no—
1002#3265—731no—
1003#3264—731no—
1004#3264—731no—
1005#3224—731no—
1006#3224—731no—
1007#3198—731no—
1008#3198—731no—
1009#3190—731no—
1010#3188—731no—
1011#3118—731no—
1012#3118—731no—
1013#3012—731no—
1014#3012D7311yescharacteristic, complemented
1015C2×#450—731no—
1016C2×#447—731no—
1017#2977—731no—
1018C73#6162911yescharacteristic, complemented, Sylow
1019C2×H(5,𝔽2)C2×D7311yescharacteristic, complemented
1020C23×D4—731no—
1021C2×AGL(1,ℤ/8)—731no—
1022C2×AGL(1,ℤ/8)C2×D7311yescharacteristic, complemented
1023C2×#135—731no—
1024C2×#135C2×D7311yescharacteristic, complemented
1025C22×SD16—731no—
1026C22×SD16—731no—
1027C22×D8—731no—
1028C22×D8—731no—
1029#562—1461no—
1030#562—1461no—
1031#554—731no—
1032#554—731no—
1033#548—731no—
1034#548—731no—
1035#547—731no—
1036#547—731no—
1037#546—731no—
1038#546—731no—
1039#546—731no—
1040#546—731no—
1041#546—731no—
1042#546—731no—
1043#546—1461no—
1044#546—1461no—
1045#546—1461no—
1046#546—1461no—
1047D42—731no—
1048D42—731no—
1049D42—731no—
1050D42—731no—
1051D42—1461no—
1052D42—1461no—
1053#543—1461no—
1054#542—731no—
1055#542—731no—
1056#539—1461no—
1057#538—1461no—
1058#537—731no—
1059#537—1461no—
1060#537C2×D7311yescharacteristic, complemented
1061#535—731no—
1062#535—731no—
1063#534—1461no—
1064#534—1461no—
1065#525—731no—
1066#525—731no—
1067C2×C22⋊Q8—731no—
1068C2×#121—731no—
1069C2×#120—1461no—
1070C2×#120—1461no—
1071#518—731no—
1072#496—731no—
1073#496—731no—
1074#495—731no—
1075#495—731no—
1076#489—731no—
1077#489—731no—
1078#486—731no—
1079#486—731no—
1080#485—731no—
1081#485—731no—
1082#484—731no—
1083#483—731no—
1084#482—731no—
1085#482—731no—
1086#481—731no—
1087#481—731no—
1088#481—731no—
1089#480—731no—
1090#480—731no—
1091#480—731no—
1092#476—731no—
1093#476—731no—
1094#474—731no—
1095#474—731no—
1096#469—731no—
1097#469—731no—
1098#468—731no—
1099#468—731no—
1100#467—731no—
1101#467—731no—
1102#466—731no—
1103#466—731no—
1104#466—731no—
1105#466—731no—
1106#465—731no—
1107#465—731no—
1108#465—731no—
1109#465—731no—
1110#465—731no—
1111#465—731no—
1112#464—731no—
1113#464—731no—
1114#463—731no—
1115#463—731no—
1116#463—731no—
1117#463—731no—
1118#463—731no—
1119#463—731no—
1120#460—731no—
1121#460—731no—
1122#459—731no—
1123#459—731no—
1124#452—731no—
1125#452—731no—
1126#452C2×D7311yescharacteristic, complemented
1127#452C2×D7311yescharacteristic, complemented
1128#451—731no—
1129#450—731no—
1130#450—731no—
1131#450—731no—
1132#450—731no—
1133#450—731no—
1134#450—731no—
1135#450—731no—
1136#450—731no—
1137#450—731no—
1138#450C2×D7311yescharacteristic, complemented
1139#450C2×D7311yescharacteristic, complemented
1140#449—731no—
1141#449—731no—
1142#449—731no—
1143#449—731no—
1144#449—731no—
1145#449—731no—
1146#449C2×D7311yescharacteristic, complemented
1147#449C2×D7311yescharacteristic, complemented
1148#448—731no—
1149#447—731no—
1150#447—731no—
1151#447—731no—
1152#447—731no—
1153#447—731no—
1154#447—731no—
1155#447—731no—
1156#447—731no—
1157#447—731no—
1158#447C2×D7311yescharacteristic
1159#447C2×D7311yescharacteristic, complemented
1160#442—731no—
1161#442—731no—
1162#440—731no—
1163#440—731no—
1164C4×SD16—731no—
1165C4×SD16—731no—
1166C4×D8—731no—
1167C4×D8—731no—
1168#435—731no—
1169#435—731no—
1170#435—731no—
1171#435—731no—
1172C8×D4—731no—
1173C8×D4—731no—
1174C8×D4—731no—
1175C8×D4—731no—
1176#433—731no—
1177#433—731no—
1178#417—731no—
1179#417C2×D7311yescharacteristic, complemented
1180C2×#102—731no—
1181C2×#102—731no—
1182C2×#102—731no—
1183C2×#102—731no—
1184C2×#102—731no—
1185C2×#102C2×D7311yescharacteristic, complemented
1186#408—731no—
1187#408C2×D7311yescharacteristic, complemented
1188C2×C22⋊C8—731no—
1189C2×C22⋊C8—731no—
1190C25—1461no—
1191H(5,𝔽2)—42no—
1192H(5,𝔽2)—42no—
1193C2×#41—21no—
1194C2×#41—731no—
1195C2×#41—1461no—
1196C2×#41—1461no—
1197C2×#41C22×D7311yescharacteristic
1198C2×#41C22×D7311yescharacteristic
1199C2×#41C22×D7311yescharacteristic
1200C2×#41C22×D7311yescharacteristic
1201C2×#41C22×D7311yescharacteristic, complemented
1202C22×Q8—731no—
1203C22×D4—21no—
1204C22×D4—21no—
1205C22×D4—21no—
1206C22×D4—2922no—
1207C22×D4—2922no—
1208C22×D4—731no—
1209C22×D4—731no—
1210C22×D4—731no—
1211C22×D4—731no—
1212C22×D4—731no—
1213C22×D4—731no—
1214C22×D4—1461no—
1215C22×D4—1461no—
1216C22×D4—1461no—
1217C22×D4—1461no—
1218C22×D4—1461no—
1219C22×D4—1461no—
1220C22×D4—1461no—
1221C22×D4—1461no—
1222C22×D4C22×D7311yescharacteristic
1223C22×D4C22×D7311yescharacteristic
1224C22×D4C22×D7311yescharacteristic
1225C23×C4—731no—
1226AGL(1,ℤ/8)—42no—
1227AGL(1,ℤ/8)—2922no—
1228#135—42no—
1229#135—2922no—
1230C2×Q16—731no—
1231C2×Q16C22×D7311yescharacteristic, complemented
1232C2×SD16—2922no—
1233C2×SD16—2922no—
1234C2×SD16—731no—
1235C2×SD16—731no—
1236C2×SD16—731no—
1237C2×SD16—731no—
1238C2×SD16—731no—
1239C2×SD16—731no—
1240C2×SD16—731no—
1241C2×SD16—731no—
1242C2×SD16C22×D7311yescharacteristic
1243C2×SD16C22×D7311yescharacteristic
1244C2×SD16C22×D7311yescharacteristic, complemented
1245C2×SD16C22×D7311yescharacteristic, complemented
1246C2×D8—2922no—
1247C2×D8—2922no—
1248C2×D8—731no—
1249C2×D8—731no—
1250C2×D8—731no—
1251C2×D8—731no—
1252C2×D8—731no—
1253C2×D8—731no—
1254C2×D8—731no—
1255C2×D8C22×D7311yescharacteristic
1256C2×D8C22×D7311yescharacteristic
1257C2×D8C22×D7311yescharacteristic, complemented
1258C2×M16—731no—
1259C2×M16C22×D7311yescharacteristic, complemented
1260C22×C8—731no—
1261C22×C8—731no—
1262C22×C8—731no—
1263C22×C8—731no—
1264C22×C8—731no—
1265C22×C8C22×D7311yescharacteristic, complemented
1266C4⋊Q8—731no—
1267C4⋊Q8—731no—
1268#127—731no—
1269#127—731no—
1270#127—1461no—
1271#126—1461no—
1272#126—1461no—
1273#125—1461no—
1274#125—1461no—
1275#124—731no—
1276#124—731no—
1277#124—731no—
1278#124—731no—
1279#124—1461no—
1280#124—1461no—
1281#124—1461no—
1282#124—1461no—
1283#124—1461no—
1284#123—731no—
1285#123—731no—
1286#123—1461no—
1287#123—1461no—
1288#123—1461no—
1289#123—1461no—
1290#123—1461no—
1291#123—1461no—
1292#123—1461no—
1293#123—1461no—
1294#123—1461no—
1295#123—1461no—
1296#123—1461no—
1297#123—1461no—
1298#123—1461no—
1299C22⋊Q8—21no—
1300C22⋊Q8—731no—
1301C22⋊Q8—731no—
1302C22⋊Q8—731no—
1303C22⋊Q8—731no—
1304C22⋊Q8—731no—
1305C22⋊Q8—731no—
1306C22⋊Q8—731no—
1307C22⋊Q8—731no—
1308C22⋊Q8—1461no—
1309C22⋊Q8—1461no—
1310C22⋊Q8—1461no—
1311C22⋊Q8—1461no—
1312C22⋊Q8—1461no—
1313C22⋊Q8—1461no—
1314C22⋊Q8—1461no—
1315C22⋊Q8—1461no—
1316C22⋊Q8—1461no—
1317C22⋊Q8—1461no—
1318C22⋊Q8—1461no—
1319C22⋊Q8—1461no—
1320C22⋊Q8—1461no—
1321C22⋊Q8C22×D7311yescharacteristic
1322C22⋊Q8C22×D7311yescharacteristic, complemented
1323#121—21no—
1324#121—21no—
1325#121—21no—
1326#121—731no—
1327#121—731no—
1328#121—731no—
1329#121—731no—
1330#121—731no—
1331#121—731no—
1332#121—731no—
1333#121—731no—
1334#121—731no—
1335#121—731no—
1336#121—731no—
1337#121—731no—
1338#121—1461no—
1339#121—1461no—
1340#121—1461no—
1341#121—1461no—
1342#121—1461no—
1343#121—1461no—
1344#121—1461no—
1345#121—1461no—
1346#121—1461no—
1347#121—1461no—
1348#121—1461no—
1349#121—1461no—
1350#121—1461no—
1351#121—1461no—
1352#121—1461no—
1353#121—1461no—
1354#121—1461no—
1355#121—1461no—
1356#121—1461no—
1357#121C22×D7311yescharacteristic
1358#121C22×D7311yescharacteristic, complemented
1359#120—731no—
1360#120—731no—
1361#120—1461no—
1362#120—1461no—
1363#120—1461no—
1364#120—1461no—
1365#120—1461no—
1366#120—1461no—
1367#120—1461no—
1368#120—1461no—
1369#120—1461no—
1370#120—1461no—
1371#120—1461no—
1372#120—1461no—
1373#120—1461no—
1374#120—1461no—
1375#120—1461no—
1376#120—1461no—
1377#120—1461no—
1378#120—1461no—
1379#120—1461no—
1380C4×Q8—731no—
1381C4×Q8—731no—
1382C4×D4—731no—
1383C4×D4—731no—
1384C4×D4—731no—
1385C4×D4—731no—
1386C4×D4—731no—
1387C4×D4—731no—
1388C4×D4—731no—
1389C4×D4—731no—
1390C4×D4—731no—
1391C4×D4—731no—
1392C4×D4—1461no—
1393C4×D4—1461no—
1394C4×D4—1461no—
1395C4×D4—1461no—
1396C4×D4—1461no—
1397C4×D4—1461no—
1398C4×D4—1461no—
1399C4×D4—1461no—
1400#117—731no—
1401#117—731no—
1402C2×C4⋊C4—731no—
1403C2×C4⋊C4—731no—
1404C2×C4⋊C4—731no—
1405C2×C4⋊C4—1461no—
1406C2×C4⋊C4C22×D7311yescharacteristic, complemented
1407C2×C22⋊C4—1461no—
1408C2×C22⋊C4—1461no—
1409C2×C22⋊C4—1461no—
1410C2×C22⋊C4—1461no—
1411C2×C22⋊C4—1461no—
1412C2×C22⋊C4—1461no—
1413C2×C22⋊C4—1461no—
1414C2×C22⋊C4—1461no—
1415C2×C22⋊C4—1461no—
1416C2×C22⋊C4—1461no—
1417#107—731no—
1418#107—731no—
1419#107—731no—
1420#107—731no—
1421#106—731no—
1422#106—731no—
1423#106—731no—
1424#106—731no—
1425C4⋊C8—731no—
1426C4⋊C8—731no—
1427C4⋊C8—731no—
1428C4⋊C8—731no—
1429#103—731no—
1430#103—731no—
1431#103—731no—
1432#103—731no—
1433#103—731no—
1434#103—731no—
1435#103C22×D7311yescharacteristic, complemented
1436#103C22×D7311yescharacteristic, complemented
1437#102—731no—
1438#102—731no—
1439#102—731no—
1440#102—731no—
1441#102—731no—
1442#102—731no—
1443#102—731no—
1444#102—731no—
1445#102—731no—
1446#102—731no—
1447#102—731no—
1448#102—731no—
1449#102—731no—
1450#102—731no—
1451#102—731no—
1452#102—731no—
1453#102—731no—
1454#102—731no—
1455#102C22×D7311yescharacteristic
1456#102C22×D7311yescharacteristic
1457#102C22×D7311yescharacteristic
1458#102C22×D7311yescharacteristic
1459#102C22×D7311yescharacteristic, complemented
1460#102C22×D7311yescharacteristic, complemented
1461C22⋊C8—731no—
1462C22⋊C8—731no—
1463C22⋊C8—731no—
1464C22⋊C8—731no—
1465C22⋊C8—731no—
1466C22⋊C8—731no—
1467C22⋊C8—731no—
1468C22⋊C8—731no—
1469C22⋊C8C22×D7311yescharacteristic
1470C22⋊C8C22×D7311yescharacteristic
1471C22⋊C8C22×D7311yescharacteristic, complemented
1472C22⋊C8C22×D7311yescharacteristic, complemented
1473#97—731no—
1474#97—731no—
1475C4×C8—731no—
1476C4×C8—731no—
1477C24—21no—
1478C24—21no—
1479C24—21no—
1480C24—2924no—
1481C24—5842no—
1482C24—5842no—
1483C24—731no—
1484C24—1461no—
1485C24—1461no—
1486C24—1461no—
1487C24—1461no—
1488C24—1461no—
1489C24—1461no—
1490#41—22no—
1491#41—22no—
1492#41—41no—
1493#41—41no—
1494#41—41no—
1495#41—41no—
1496#41—41no—
1497#41—41no—
1498#41—41no—
1499#41—41no—
1500#41—44no—
1501#41—2921no—
1502#41—2921no—
1503#41—5842no—
1504#41—5842no—
1505C2×Q8—2921no—
1506C2×Q8—2921no—
1507C2×Q8—731no—
1508C2×Q8—1461no—
1509C2×Q8—1461no—
1510C2×Q8—1461no—
1511C2×Q8D4×D7311yescharacteristic
1512C2×Q8C23×D7311yescharacteristic
1513C2×Q8C23×D7311yescharacteristic
1514C2×D4—22no—
1515C2×D4—22no—
1516C2×D4—22no—
1517C2×D4—22no—
1518C2×D4—21no—
1519C2×D4—21no—
1520C2×D4—21no—
1521C2×D4—21no—
1522C2×D4—21no—
1523C2×D4—21no—
1524C2×D4—21no—
1525C2×D4—21no—
1526C2×D4—21no—
1527C2×D4—41no—
1528C2×D4—41no—
1529C2×D4—44no—
1530C2×D4—44no—
1531C2×D4—44no—
1532C2×D4—2921no—
1533C2×D4—2921no—
1534C2×D4—2924no—
1535C2×D4—2924no—
1536C2×D4—2924no—
1537C2×D4—2921no—
1538C2×D4—2921no—
1539C2×D4—2921no—
1540C2×D4—2921no—
1541C2×D4—2921no—
1542C2×D4—2921no—
1543C2×D4—5842no—
1544C2×D4—5842no—
1545C2×D4—5842no—
1546C2×D4—5842no—
1547C2×D4—5842no—
1548C2×D4—731no—
1549C2×D4—731no—
1550C2×D4—731no—
1551C2×D4—731no—
1552C2×D4—731no—
1553C2×D4—731no—
1554C2×D4—731no—
1555C2×D4—1461no—
1556C2×D4—1461no—
1557C2×D4—1461no—
1558C2×D4—1461no—
1559C2×D4—1461no—
1560C2×D4—1461no—
1561C2×D4—1461no—
1562C2×D4—1461no—
1563C2×D4—1461no—
1564C2×D4—1461no—
1565C2×D4—1461no—
1566C2×D4—1461no—
1567C2×D4—1461no—
1568C2×D4—1462no—
1569C2×D4—1462no—
1570C2×D4—1462no—
1571C2×D4—1462no—
1572C2×D4—1461no—
1573C2×D4—1461no—
1574C2×D4—1461no—
1575C2×D4—1461no—
1576C2×D4—1461no—
1577C2×D4—1461no—
1578C2×D4—1461no—
1579C2×D4—1461no—
1580C2×D4D4×D7311yescharacteristic
1581C2×D4D4×D7311yescharacteristic
1582C2×D4D4×D7311yescharacteristic
1583C2×D4C23×D7311yescharacteristic
1584C2×D4C23×D7311yescharacteristic
1585C2×D4C23×D7311yescharacteristic
1586C2×D4C23×D7311yescharacteristic
1587C22×C4—21no—
1588C22×C4—21no—
1589C22×C4—21no—
1590C22×C4—21no—
1591C22×C4—21no—
1592C22×C4—2921no—
1593C22×C4—2921no—
1594C22×C4—731no—
1595C22×C4—731no—
1596C22×C4—731no—
1597C22×C4—731no—
1598C22×C4—731no—
1599C22×C4—1461no—
1600C22×C4—1461no—
1601C22×C4—1461no—
1602C22×C4—1461no—
1603C22×C4—1461no—
1604C22×C4—1461no—
1605C22×C4—1461no—
1606C22×C4—1461no—
1607C22×C4—1461no—
1608C22×C4—1461no—
1609C22×C4—1461no—
1610C22×C4C23×D7311yescharacteristic
1611C22×C4C23×D7311yescharacteristic
1612C22×C4C23×D7311yescharacteristic
1613Q16—41no—
1614Q16—2921no—
1615SD16—22no—
1616SD16—22no—
1617SD16—41no—
1618SD16—41no—
1619SD16—2921no—
1620SD16—2921no—
1621SD16—2921no—
1622SD16—2921no—
1623SD16—2921no—
1624SD16—2921no—
1625SD16—1462no—
1626SD16—1462no—
1627D8—22no—
1628D8—22no—
1629D8—41no—
1630D8—2921no—
1631D8—2921no—
1632D8—2921no—
1633D8—2921no—
1634D8—2921no—
1635D8—1462no—
1636D8—1462no—
1637M16—41no—
1638M16—2921no—
1639C2×C8—41no—
1640C2×C8—2921no—
1641C2×C8—2921no—
1642C2×C8—2921no—
1643C2×C8—2921no—
1644C2×C8—2921no—
1645C2×C8—731no—
1646C2×C8—731no—
1647C2×C8—731no—
1648C2×C8—731no—
1649C2×C8C23×D7311yescharacteristic
1650C2×C8C23×D7311yescharacteristic
1651C2×C8C23×D7311yescharacteristic
1652C2×C8C23×D7311yescharacteristic
1653C4⋊C4—21no—
1654C4⋊C4—21no—
1655C4⋊C4—21no—
1656C4⋊C4—731no—
1657C4⋊C4—731no—
1658C4⋊C4—731no—
1659C4⋊C4—731no—
1660C4⋊C4—731no—
1661C4⋊C4—731no—
1662C4⋊C4—731no—
1663C4⋊C4—731no—
1664C4⋊C4—731no—
1665C4⋊C4—731no—
1666C4⋊C4—1461no—
1667C4⋊C4—1461no—
1668C4⋊C4—1461no—
1669C4⋊C4—1461no—
1670C4⋊C4—1461no—
1671C4⋊C4—1461no—
1672C4⋊C4—1461no—
1673C4⋊C4—1461no—
1674C4⋊C4—1461no—
1675C4⋊C4—1461no—
1676C4⋊C4—1461no—
1677C4⋊C4—1461no—
1678C4⋊C4—1461no—
1679C4⋊C4C23×D7311yescharacteristic
1680C4⋊C4C23×D7311yescharacteristic
1681C22⋊C4—21no—
1682C22⋊C4—21no—
1683C22⋊C4—21no—
1684C22⋊C4—21no—
1685C22⋊C4—731no—
1686C22⋊C4—731no—
1687C22⋊C4—731no—
1688C22⋊C4—731no—
1689C22⋊C4—731no—
1690C22⋊C4—731no—
1691C22⋊C4—731no—
1692C22⋊C4—731no—
1693C22⋊C4—731no—
1694C22⋊C4—731no—
1695C22⋊C4—1461no—
1696C22⋊C4—1461no—
1697C22⋊C4—1461no—
1698C22⋊C4—1461no—
1699C22⋊C4—1461no—
1700C22⋊C4—1461no—
1701C22⋊C4—1461no—
1702C22⋊C4—1461no—
1703C22⋊C4—1461no—
1704C22⋊C4—1461no—
1705C22⋊C4—1461no—
1706C22⋊C4—1461no—
1707C22⋊C4—1461no—
1708C22⋊C4—1461no—
1709C22⋊C4—1461no—
1710C22⋊C4—1461no—
1711C22⋊C4—1461no—
1712C22⋊C4—1461no—
1713C22⋊C4—1461no—
1714C22⋊C4—1461no—
1715C22⋊C4—1461no—
1716C22⋊C4—1461no—
1717C22⋊C4—1461no—
1718C22⋊C4—1461no—
1719C22⋊C4—1461no—
1720C22⋊C4—1461no—
1721C22⋊C4—1461no—
1722C22⋊C4—1461no—
1723C22⋊C4—1461no—
1724C22⋊C4—1461no—
1725C22⋊C4—1461no—
1726C42—731no—
1727C42—731no—
1728C42—1461no—
1729C42—1461no—
1730C42—1461no—
1731C23—24no—
1732C23—21no—
1733C23—21no—
1734C23—21no—
1735C23—21no—
1736C23—42no—
1737C23—42no—
1738C23—81no—
1739C23—81no—
1740C23—81no—
1741C23—81no—
1742C23—81no—
1743C23—81no—
1744C23—2921no—
1745C23—2922no—
1746C23—2922no—
1747C23—2922no—
1748C23—2922no—
1749C23—2922no—
1750C23—2922no—
1751C23—2922no—
1752C23—2922no—
1753C23—2922no—
1754C23—2922no—
1755C23—5841no—
1756C23—5841no—
1757C23—5841no—
1758C23—5841no—
1759C23—5841no—
1760C23—5841no—
1761C23—5841no—
1762C23—5841no—
1763C23—58416no—
1764C23—731no—
1765C23—731no—
1766C23—1462no—
1767C23—1462no—
1768C23—1461no—
1769C23—1461no—
1770C23—1461no—
1771C23C2×D4×D7311yescharacteristic
1772C23C2×D4×D7311yescharacteristic
1773C23C2×D4×D7311yescharacteristic
1774Q8—21no—
1775Q8—21no—
1776Q8—21no—
1777Q8—21no—
1778Q8—41no—
1779Q8—5841no—
1780Q8—5841no—
1781Q8—5841no—
1782Q8—1461no—
1783Q8—1461no—
1784D4—24no—
1785D4—21no—
1786D4—21no—
1787D4—21no—
1788D4—21no—
1789D4—21no—
1790D4—21no—
1791D4—41no—
1792D4—41no—
1793D4—41no—
1794D4—42no—
1795D4—42no—
1796D4—42no—
1797D4—42no—
1798D4—42no—
1799D4—81no—
1800D4—81no—
1801D4—81no—
1802D4—2922no—
1803D4—2922no—
1804D4—2922no—
1805D4—2922no—
1806D4—2922no—
1807D4—2922no—
1808D4—2922no—
1809D4—2922no—
1810D4—2922no—
1811D4—5841no—
1812D4—5841no—
1813D4—5841no—
1814D4—5841no—
1815D4—5841no—
1816D4—5841no—
1817D4—5841no—
1818D4—5841no—
1819D4—5841no—
1820D4—5841no—
1821D4—5841no—
1822D4—5841no—
1823D4—1462no—
1824D4—1462no—
1825D4—1462no—
1826D4—1462no—
1827D4—1461no—
1828D4—1461no—
1829D4—1461no—
1830D4—1461no—
1831D4—1461no—
1832D4—1461no—
1833D4#1455663612yes—
1834D4#1455663612yes—
1835C2×C4—21no—
1836C2×C4—21no—
1837C2×C4—21no—
1838C2×C4—21no—
1839C2×C4—21no—
1840C2×C4—21no—
1841C2×C4—21no—
1842C2×C4—21no—
1843C2×C4—21no—
1844C2×C4—21no—
1845C2×C4—42no—
1846C2×C4—42no—
1847C2×C4—42no—
1848C2×C4—81no—
1849C2×C4—81no—
1850C2×C4—2921no—
1851C2×C4—2921no—
1852C2×C4—2922no—
1853C2×C4—2921no—
1854C2×C4—5841no—
1855C2×C4—5841no—
1856C2×C4—5841no—
1857C2×C4—5841no—
1858C2×C4—5841no—
1859C2×C4—5841no—
1860C2×C4—5841no—
1861C2×C4—5841no—
1862C2×C4—5841no—
1863C2×C4—5841no—
1864C2×C4—731no—
1865C2×C4—731no—
1866C2×C4—731no—
1867C2×C4—731no—
1868C2×C4—731no—
1869C2×C4—731no—
1870C2×C4—1461no—
1871C2×C4—1461no—
1872C2×C4—1461no—
1873C2×C4—1461no—
1874C2×C4—1461no—
1875C2×C4—1461no—
1876C2×C4—1461no—
1877C2×C4—1461no—
1878C2×C4—1461no—
1879C2×C4C2×D4×D7311yescharacteristic
1880C2×C4C2×D4×D7311yescharacteristic
1881C2×C4C2×D4×D7311yescharacteristic
1882C2×C4C24×D7311yescharacteristic
1883C8—21no—
1884C8—21no—
1885C8—21no—
1886C8—21no—
1887C8—1461no—
1888C8—1461no—
1889C8—1461no—
1890C8—1461no—
1891C22—21no—
1892C22—21no—
1893C22—21no—
1894C22—22no—
1895C22—22no—
1896C22—21no—
1897C22—21no—
1898C22—21no—
1899C22—21no—
1900C22—21no—
1901C22—21no—
1902C22—41no—
1903C22—41no—
1904C22—41no—
1905C22—41no—
1906C22—41no—
1907C22—41no—
1908C22—41no—
1909C22—41no—
1910C22—41no—
1911C22—41no—
1912C22—84no—
1913C22—162no—
1914C22—162no—
1915C22—2924no—
1916C22—2921no—
1917C22—2921no—
1918C22—2921no—
1919C22—2921no—
1920C22—2921no—
1921C22—2921no—
1922C22—2921no—
1923C22—2921no—
1924C22—2921no—
1925C22—5844no—
1926C22—5844no—
1927C22—5844no—
1928C22—5844no—
1929C22—5844no—
1930C22—732no—
1931C22—732no—
1932C22—11682no—
1933C22—1461no—
1934C22—1461no—
1935C22—1461no—
1936C22—1461no—
1937C22C22×D4×D7311yescharacteristic
1938C4—21no—
1939C4—21no—
1940C4—21no—
1941C4—41no—
1942C4—41no—
1943C4—41no—
1944C4—41no—
1945C4—2921no—
1946C4—2921no—
1947C4—2921no—
1948C4—2921no—
1949C4—2921no—
1950C4—1461no—
1951C4—1461no—
1952C4—1461no—
1953C4—1461no—
1954C4—1461no—
1955C4—1461no—
1956C4C2×#1455663611yescharacteristic
1957C4C2×#1455663611yescharacteristic
1958C2—41no—
1959C2—41no—
1960C2—41no—
1961C2—42no—
1962C2—42no—
1963C2—81no—
1964C2—81no—
1965C2—5841no—
1966C2—5841no—
1967C2—5841no—
1968C2—1462no—
1969C2—1462no—
1970C2#2262356011yescharacteristic
1971C2#576×D7311yescharacteristic
1972C2#577×D7311yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3012C2
socleC22×C73C23×D4
hypercenter#3012D73
hypocenterC73#61629
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C2×#41 ◁ #3012

Complements

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

NH ≅ G/Ntype
1. #22624149C2semidirect
2. #22623562C2semidirect
3. #22622013C2semidirect
4. #22622005C2semidirect
5. #22621893C2semidirect
6. #22621885C2semidirect
7. #22621751C2semidirect
8. #22621748C2semidirect
9. #22621740C2semidirect
10. #22621737C2semidirect
11. #22621636C2semidirect
12. #22621632C2semidirect
13. #22621614C2semidirect
14. #22621610C2semidirect
15. #22621424C2semidirect
16. #22621420C2semidirect
17. #22621409C2semidirect
18. #22621405C2semidirect
19. #22621031C2semidirect
20. #22621023C2semidirect
21. #22620785C2semidirect
22. #22620777C2semidirect
23. #22620710C2semidirect
24. #22620694C2semidirect
25. #22620116C2semidirect
26. #22620108C2semidirect
27. #22619235C2semidirect
28. #450×D73C2semidirect
29. #447×D73C2semidirect
30. #22618983C2semidirect
31. C73×#3012C2semidirect
33. C2×#14556617C22semidirect
34. C2×#14556611C22semidirect
35. C2×SD16×D73C22semidirect
36. C2×SD16×D73C22semidirect
37. C2×D8×D73C22semidirect
38. C2×D8×D73C22semidirect
41. #17989295C22semidirect
42. #17989292C22semidirect
43. #17989247C22semidirect
44. #17989244C22semidirect
45. #17989238C22semidirect
46. #17989237C22semidirect
48. #17989234C22semidirect
54. #17989225C22semidirect
55. #17989225C22semidirect
56. #17989225C22semidirect
61. D4×C22⋊D73C22semidirect
62. D4×C22⋊D73C22semidirect
64. #17989210C22semidirect
65. #17989204C22semidirect
69. #17989165C22semidirect
70. #17989151C22semidirect
71. #17989151C22semidirect
76. C22⋊Q8×D73C22semidirect
77. #121×D73C22semidirect
80. #17989062C22semidirect
81. #17988975C22semidirect
82. #17988973C22semidirect
83. #17988972C22semidirect
84. #17988968C22semidirect
85. #17988948C22semidirect
86. #17988948C22semidirect
87. #17988932C22semidirect
88. #17988932C22semidirect
89. #17988929C22semidirect
90. #17988925C22semidirect
91. #17988921C22semidirect
92. #17988916C22semidirect
93. #17988912C22semidirect
94. #17988908C22semidirect
95. #17988906C22semidirect
96. #17988905C22semidirect
97. #17988904C22semidirect
98. #17988901C22semidirect
99. #17988900C22semidirect
100. #17988899C22semidirect
101. #17988875C22semidirect
102. #17988875C22semidirect
103. #17988865C22semidirect
104. #17988865C22semidirect
105. #17988840C22semidirect
106. #17988838C22semidirect
107. #17988835C22semidirect
108. #17988833C22semidirect
109. #17988827C22semidirect
110. #17988825C22semidirect
111. #17988823C22semidirect
112. #17988822C22semidirect
113. #17988821C22semidirect
114. #17988820C22semidirect
115. #17988819C22semidirect
116. #17988818C22semidirect
117. #17988816C22semidirect
118. #17988815C22semidirect
119. #17988813C22semidirect
120. #17988813C22semidirect
121. #17988812C22semidirect
122. #17988811C22semidirect
123. #17988805C22semidirect
124. #17988804C22semidirect
125. #17988804C22semidirect
126. #17988804C22semidirect
127. #17988800C22semidirect
128. #17988800C22semidirect
129. #17988786C22semidirect
130. #17988785C22semidirect
131. #17988781C22semidirect
132. #17988780C22semidirect
133. #17988749C22semidirect
134. #17988749C22semidirect
135. #17988741C22semidirect
136. #17988740C22semidirect
137. #17988739C22semidirect
138. #17988739C22semidirect
139. #17988738C22semidirect
140. #17988738C22semidirect
141. #17988737C22semidirect
142. #17988736C22semidirect
143. #17988736C22semidirect
144. #17988736C22semidirect
145. #17988734C22semidirect
146. #17988734C22semidirect
147. #17988732C22semidirect
148. #17988732C22semidirect
149. #17988732C22semidirect
150. #17988732C22semidirect
151. #17988724C22semidirect
152. #17988723C22semidirect
153. #17988722C22semidirect
154. #17988722C22semidirect
156. #17988721C22semidirect
157. #17988720C22semidirect
158. #17988719C22semidirect
159. #17988719C22semidirect
160. #17988719C22semidirect
161. #17988699C22semidirect
162. #17988696C22semidirect
163. #17988688C22semidirect
164. #17988684C22semidirect
165. #17988678C22semidirect
166. SD16×Dic73C22semidirect
167. D8×Dic73C22semidirect
168. #17988667C22semidirect
169. #17988661C22semidirect
170. #17988661C22semidirect
171. #17988656C22semidirect
172. #17988656C22semidirect
173. C8×C22⋊D73C22semidirect
174. C8×C22⋊D73C22semidirect
175. #17988650C22semidirect
176. #17988650C22semidirect
177. #17988645C22semidirect
178. #17988645C22semidirect
179. #17988588C22semidirect
180. C2×#14556512C22semidirect
181. #102×D73C22semidirect
182. #102×D73C22semidirect
183. #102×D73C22semidirect
184. #102×D73C22semidirect
185. #17988554C22semidirect
186. C22⋊C8×D73C22semidirect
187. C22⋊C8×D73C22semidirect
188. C2×H(5,𝔽2)×C73C22semidirect
189. C2×AGL(1,ℤ/8)×C73C22semidirect
190. C2×#135×C73C22semidirect
191. #537×C73C22semidirect
192. #452×C73C22semidirect
193. #452×C73C22semidirect
194. #450×C73C22semidirect
195. #450×C73C22semidirect
196. #449×C73C22semidirect
197. #449×C73C22semidirect
199. #447×C73C22semidirect
200. #417×C73C22semidirect
201. C2×#102×C73C22semidirect
202. #408×C73C22semidirect
205. C2×#11924028C23semidirect
227. C2×#11924018C23semidirect
232. C2×#11924016C23semidirect
235. C2×#11924015C23semidirect
244. C2×#11924013C23semidirect
247. C2×#11924012C23semidirect
248. C22×#10596831C23semidirect
253. #14556590C23semidirect
254. #14556590C23semidirect
265. #14556580C23semidirect
268. #14556578C23semidirect
292. #14556570C23semidirect
315. #14556565C23semidirect
359. Q8×Dic73C23semidirect
360. #14556556C23semidirect
367. D4×Dic73C23semidirect
369. #14556553C23semidirect
381. C2×C4⋊Dic73C23semidirect
395. #14556525C23semidirect
396. #14556525C23semidirect
397. #14556524C23semidirect
398. #14556524C23semidirect
399. #14556523C23semidirect
400. #14556523C23semidirect
401. #14556522C23semidirect
402. #14556522C23semidirect
403. #14556520C23semidirect
404. #14556520C23semidirect
405. #14556520C23semidirect
406. #14556520C23semidirect
407. #14556516C23semidirect
408. #14556516C23semidirect
409. #14556515C23semidirect
410. #14556515C23semidirect
411. #14556515C23semidirect
412. #14556515C23semidirect
417. #14556513C23semidirect
418. #14556513C23semidirect
423. #14556512C23semidirect
424. #14556512C23semidirect
425. #14556512C23semidirect
426. #14556512C23semidirect
433. C22⋊#10596831C23semidirect
434. C22⋊#10596831C23semidirect
439. #14556501C23semidirect
440. #14556501C23semidirect
441. C8×Dic73C23semidirect
442. C8×Dic73C23semidirect
450. C2×#41×C73C23semidirect
459. C2×Q16×C73C23semidirect
462. C2×SD16×C73C23semidirect
463. C2×SD16×C73C23semidirect
466. C2×D8×C73C23semidirect
467. C2×M16×C73C23semidirect
468. C22×C8×C73C23semidirect
471. C22⋊Q8×C73C23semidirect
476. #121×C73C23semidirect
477. C2×C4⋊C4×C73C23semidirect
478. #103×C73C23semidirect
479. #103×C73C23semidirect
484. #102×C73C23semidirect
485. #102×C73C23semidirect
488. C22⋊C8×C73C23semidirect
489. C22⋊C8×C73C23semidirect
1014. #3012D73semidirect
1018. C73#61629semidirect
1019. C2×H(5,𝔽2)C2×D73semidirect
1022. C2×AGL(1,ℤ/8)C2×D73semidirect
1024. C2×#135C2×D73semidirect
1060. #537C2×D73semidirect
1126. #452C2×D73semidirect
1127. #452C2×D73semidirect
1138. #450C2×D73semidirect
1139. #450C2×D73semidirect
1146. #449C2×D73semidirect
1147. #449C2×D73semidirect
1159. #447C2×D73semidirect
1179. #417C2×D73semidirect
1185. C2×#102C2×D73semidirect
1187. #408C2×D73semidirect
1201. C2×#41C22×D73semidirect
1231. C2×Q16C22×D73semidirect
1244. C2×SD16C22×D73semidirect
1245. C2×SD16C22×D73semidirect
1257. C2×D8C22×D73semidirect
1259. C2×M16C22×D73semidirect
1265. C22×C8C22×D73semidirect
1322. C22⋊Q8C22×D73semidirect
1358. #121C22×D73semidirect
1406. C2×C4⋊C4C22×D73semidirect
1435. #103C22×D73semidirect
1436. #103C22×D73semidirect
1459. #102C22×D73semidirect
1460. #102C22×D73semidirect
1471. C22⋊C8C22×D73semidirect
1472. C22⋊C8C22×D73semidirect

Maximal subgroups

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

subgroupindex
#226241492
#226235622
#226220132
#226220052
#226218932
#226218852
#226217512
#226217482
#226217402
#226217372
#226216362
#226216322
#226216142
#226216102
#226214242
#226214202
#226214092
#226214052
#226210312
#226210232
#226207852
#226207772
#226207102
#226206942
#226201162
#226201082
#226192352
#450×D732
#447×D732
#226189832
C73×#30122
#6162973