Finite Group Databasebeta

← #33971550

Subgroups — #33971550

Order 18688.

2226 conjugacy classes of subgroups.

The subgroup lattice has 1942 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624212C211yesmaximal, characteristic, complemented
2#22623562C211yesmaximal, characteristic, complemented
3#22622155C211yesmaximal, characteristic, complemented
4#22622148C211yesmaximal, characteristic, complemented
5#22622065C211yesmaximal, characteristic, complemented
6#22622013C211yesmaximal, characteristic, complemented
7#22621971C211yesmaximal, characteristic, complemented
8#22621948C211yesmaximal, characteristic, complemented
9#22621774C211yesmaximal, characteristic, complemented
10#22621751C211yesmaximal, characteristic, complemented
11#22621632C211yesmaximal, characteristic, complemented
12#22621625C211yesmaximal, characteristic, complemented
13#22621560C211yesmaximal, characteristic, complemented
14#22621525C211yesmaximal, characteristic, complemented
15#22621456C211yesmaximal, characteristic, complemented
16#22621439C211yesmaximal, characteristic, complemented
17#22621430C211yesmaximal, characteristic, complemented
18#22621420C211yesmaximal, characteristic, complemented
19#22621023C211yesmaximal, characteristic, complemented
20#22621001C211yesmaximal, characteristic, complemented
21#22620804C211yesmaximal, characteristic, complemented
22#22620777C211yesmaximal, characteristic, complemented
23#22620759C211yesmaximal, characteristic, complemented
24#22620721C211yesmaximal, characteristic, complemented
25#22620177C211yesmaximal, characteristic, complemented
26#22620108C211yesmaximal, characteristic, complemented
27#22619208C211yesmaximal, characteristic, complemented
28#22619155C211yesmaximal, characteristic, complemented
29#450×D73C211yesmaximal, characteristic, complemented
30#22618974C211yesmaximal, characteristic, complemented
31C73×#3012C211yesmaximal, characteristic, complemented
32C22×D4×D73C2211yescharacteristic
33C2×#14556621C2211yescharacteristic, complemented
34C2×#14556615C2211yescharacteristic, complemented
35C2×#14556615C2211yescharacteristic, complemented
36C22×#11924016C2211yescharacteristic, complemented
37C2×SD16×D73C2211yescharacteristic, complemented
38C2×SD16×D73C2211yescharacteristic, complemented
39#17989338—21no—
40#17989332—21no—
41#17989308C2211yescharacteristic, complemented
42#17989292C2211yescharacteristic, complemented
43#17989291—21no—
44#17989284—21no—
45#17989284C2211yescharacteristic, complemented
46#17989272C2211yescharacteristic, complemented
47#17989250C2211yescharacteristic, complemented
48#17989244C2211yescharacteristic, complemented
49#17989243C2211yescharacteristic, complemented
50#17989236C2211yescharacteristic, complemented
51#17989225—21no—
52#17989225—21no—
53#17989225C2211yescharacteristic
54#17989225C2211yescharacteristic
55#17989225C2211yescharacteristic
56#17989225C2211yescharacteristic
57D4×C22⋊D73—21no—
58D4×C22⋊D73—21no—
59D4×C22⋊D73C2211yescharacteristic
60D4×C22⋊D73C2211yescharacteristic
61D4×C22⋊D73C2211yescharacteristic
62D4×C22⋊D73C2211yescharacteristic
63#17989204—21no—
64#17989204C2211yescharacteristic, complemented
65#17989197C2211yescharacteristic, complemented
66#17989182—21no—
67#17989169—21no—
68#17989169—21no—
69#17989158C2211yescharacteristic, complemented
70#17989151C2211yescharacteristic
71#17989151C2211yescharacteristic
72#17989146—21no—
73#17989146—21no—
74#17989097C2211yescharacteristic, complemented
75#17989094C2211yescharacteristic
76#17989094C2211yescharacteristic
77C22⋊Q8×D73C2211yescharacteristic, complemented
78C2×#14556559—21no—
79C2×#14556559—21no—
80#17989062C2211yescharacteristic
81#17988980C2211yescharacteristic, complemented
82#17988975C2211yescharacteristic, complemented
83#17988968C2211yescharacteristic, complemented
84#17988958C2211yescharacteristic, complemented
85#17988950C2211yescharacteristic, complemented
86#17988948C2211yescharacteristic, complemented
87#17988943C2211yescharacteristic, complemented
88#17988932C2211yescharacteristic, complemented
89#17988929C2211yescharacteristic, complemented
90#17988929C2211yescharacteristic, complemented
91#17988927C2211yescharacteristic, complemented
92#17988925C2211yescharacteristic, complemented
93#17988921C2211yescharacteristic, complemented
94#17988912C2211yescharacteristic, complemented
95#17988912C2211yescharacteristic, complemented
96#17988910C2211yescharacteristic, complemented
97#17988908C2211yescharacteristic, complemented
98#17988905C2211yescharacteristic, complemented
99#17988904C2211yescharacteristic, complemented
100#17988900C2211yescharacteristic, complemented
101#17988889C2211yescharacteristic, complemented
102#17988885C2211yescharacteristic, complemented
103#17988875C2211yescharacteristic, complemented
104#17988865C2211yescharacteristic, complemented
105#17988844C2211yescharacteristic, complemented
106#17988842C2211yescharacteristic, complemented
107#17988838C2211yescharacteristic, complemented
108#17988835C2211yescharacteristic, complemented
109#17988833C2211yescharacteristic, complemented
110#17988833C2211yescharacteristic, complemented
111#17988832C2211yescharacteristic, complemented
112#17988830C2211yescharacteristic, complemented
113#17988827C2211yescharacteristic, complemented
114#17988821C2211yescharacteristic, complemented
115#17988820C2211yescharacteristic, complemented
116#17988818C2211yescharacteristic, complemented
117#17988816C2211yescharacteristic, complemented
118#17988816C2211yescharacteristic, complemented
119#17988815C2211yescharacteristic, complemented
120#17988813C2211yescharacteristic, complemented
121#17988812C2211yescharacteristic, complemented
122#17988812C2211yescharacteristic, complemented
123#17988811C2211yescharacteristic, complemented
124#17988804C2211yescharacteristic, complemented
125#17988800C2211yescharacteristic, complemented
126#17988800C2211yescharacteristic, complemented
127#17988790C2211yescharacteristic, complemented
128#17988790C2211yescharacteristic, complemented
129#17988786C2211yescharacteristic, complemented
130#17988786C2211yescharacteristic, complemented
131#17988785C2211yescharacteristic, complemented
132#17988780C2211yescharacteristic, complemented
133#17988749C2211yescharacteristic, complemented
134#17988749C2211yescharacteristic, complemented
135#17988749C2211yescharacteristic, complemented
136#17988749C2211yescharacteristic, complemented
137#17988746C2211yescharacteristic, complemented
138#17988741C2211yescharacteristic, complemented
139#17988740C2211yescharacteristic, complemented
140#17988740C2211yescharacteristic, complemented
141#17988739C2211yescharacteristic, complemented
142#17988739C2211yescharacteristic, complemented
143#17988739C2211yescharacteristic, complemented
144#17988739C2211yescharacteristic, complemented
145#17988738C2211yescharacteristic
146#17988738C2211yescharacteristic
147#17988738C2211yescharacteristic, complemented
148#17988738C2211yescharacteristic, complemented
149#17988737C2211yescharacteristic, complemented
150#17988736C2211yescharacteristic, complemented
151#17988736C2211yescharacteristic, complemented
152#17988732C2211yescharacteristic, complemented
153#17988732C2211yescharacteristic, complemented
154#17988729C2211yescharacteristic, complemented
155#17988728C2211yescharacteristic, complemented
156#17988728C2211yescharacteristic, complemented
157#17988724C2211yescharacteristic, complemented
158#17988720C2211yescharacteristic, complemented
159#17988719C2211yescharacteristic, complemented
160#17988719C2211yescharacteristic, complemented
161#17988699C2211yescharacteristic, complemented
162#17988688C2211yescharacteristic, complemented
163#17988684C2211yescharacteristic, complemented
164#17988684C2211yescharacteristic, complemented
165#17988678C2211yescharacteristic, complemented
166#17988678C2211yescharacteristic, complemented
167SD16×Dic73C2211yescharacteristic, complemented
168D8×Dic73C2211yescharacteristic, complemented
169#17988663C2211yescharacteristic, complemented
170#17988662C2211yescharacteristic, complemented
171#17988661C2211yescharacteristic, complemented
172#17988658C2211yescharacteristic, complemented
173#17988656C2211yescharacteristic, complemented
174#17988655C2211yescharacteristic, complemented
175C8×C22⋊D73C2211yescharacteristic, complemented
176#17988650C2211yescharacteristic, complemented
177#17988645C2211yescharacteristic, complemented
178#17988645C2211yescharacteristic, complemented
179#17988592C2211yescharacteristic, complemented
180#17988590C2211yescharacteristic, complemented
181#17988590C2211yescharacteristic, complemented
182#17988583C2211yescharacteristic, complemented
183#102×D73C2211yescharacteristic, complemented
184#102×D73C2211yescharacteristic, complemented
185#17988554C2211yescharacteristic, complemented
186#17988549C2211yescharacteristic, complemented
187C22⋊C8×D73C2211yescharacteristic, complemented
188C2×H(5,𝔽2)×C73C2211yescharacteristic
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
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×#11924027C2311yescharacteristic
205C22×Dic146C2311yescharacteristic, complemented
206C2×Q8×D73C2311yescharacteristic
207C22×D292C2311yescharacteristic
208C22×C22⋊D73—21no—
209C22×C22⋊D73—21no—
210C22×C22⋊D73—21no—
211C22×C22⋊D73—21no—
212C22×C22⋊D73—21no—
213C2×D4×D73—21no—
214C2×D4×D73—21no—
215C2×D4×D73—42no—
216C2×D4×D73—42no—
217C2×D4×D73C2311yescharacteristic
218C2×D4×D73C2311yescharacteristic
219C2×D4×D73C2311yescharacteristic
220C2×D4×D73C2311yescharacteristic
221C22×C4×D73C2311yescharacteristic
222#14556621—42no—
223#14556615—42no—
224#14556615—42no—
225C2×#11924018C2311yescharacteristic, complemented
226C2×#11924018C2311yescharacteristic, complemented
227C2×#11924017C2311yescharacteristic
228C2×#11924017C2311yescharacteristic
229C2×#11924017C2311yescharacteristic
230C2×#11924017C2311yescharacteristic
231C2×#11924016—42no—
232C2×#11924016C2311yescharacteristic
233C2×#11924016C2311yescharacteristic
234C2×#11924016C2311yescharacteristic
235C2×#11924016C2311yescharacteristic
236C2×#11924016C2311yescharacteristic, complemented
237C2×#11924016C2311yescharacteristic, complemented
238C2×#11924015C2311yescharacteristic
239C2×#11924015C2311yescharacteristic
240SD16×D73—42no—
241SD16×D73—42no—
242C2×#11924013C2311yescharacteristic
243C2×#11924013C2311yescharacteristic
244C2×#11924012C2311yescharacteristic, complemented
245C2×#11924011C2311yescharacteristic
246C2×#11924011C2311yescharacteristic
247C22×#10596831C2311yescharacteristic, complemented
248C2×C8×D73C2311yescharacteristic
249C2×C8×D73C2311yescharacteristic
250#14556590—21no—
251#14556590C2311yescharacteristic, complemented
252#14556589—21no—
253#14556589C2311yescharacteristic, complemented
254#14556587—21no—
255#14556587C2311yescharacteristic
256#14556587C2311yescharacteristic
257#14556586—21no—
258#14556586—21no—
259#14556584—21no—
260#14556584—21no—
261#14556584—21no—
262#14556584—21no—
263#14556584—21no—
264#14556582—21no—
265#14556582C2311yescharacteristic, complemented
266#14556581—21no—
267#14556581—21no—
268#14556581—21no—
269#14556580—21no—
270#14556580C2311yescharacteristic
271#14556580C2311yescharacteristic
272#14556578—21no—
273#14556578—21no—
274#14556578—21no—
275#14556578C2311yescharacteristic, complemented
276#14556577—21no—
277#14556577—21no—
278#14556574—21no—
279#14556574—21no—
280#14556574—21no—
281#14556574—21no—
282#14556574—21no—
283#14556574—21no—
284#14556573—21no—
285#14556572—21no—
286#14556572—21no—
287#14556572—21no—
288#14556572—21no—
289#14556572—21no—
290#14556572—21no—
291#14556572D411yescharacteristic
292#14556572D411yescharacteristic
293#14556571C2311yescharacteristic
294#14556571C2311yescharacteristic
295#14556570—21no—
296#14556570—21no—
297#14556570C2311yescharacteristic
298#14556570C2311yescharacteristic
299#14556570C2311yescharacteristic, complemented
300#14556570C2311yescharacteristic, complemented
301#14556569—21no—
302#14556569—21no—
303#14556569—21no—
304#14556568—21no—
305#14556568—21no—
306#14556568—21no—
307#14556568—21no—
308#14556567D411yescharacteristic
309#14556567D411yescharacteristic
310#14556567C2311yescharacteristic
311#14556567C2311yescharacteristic
312#14556567C2311yescharacteristic
313#14556565—21no—
314#14556565—21no—
315#14556565C2311yescharacteristic
316#14556565C2311yescharacteristic
317#14556565C2311yescharacteristic
318#14556565C2311yescharacteristic
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#14556562—21no—
330#14556562—21no—
331#14556562D411yescharacteristic
332#14556562D411yescharacteristic
333#14556562C2311yescharacteristic
334#14556562C2311yescharacteristic
335#14556562C2311yescharacteristic
336#14556560—21no—
337#14556560—21no—
338#14556560—21no—
339#14556560—21no—
340#14556559—21no—
341#14556559—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#14556559D411yescharacteristic
355#14556559D411yescharacteristic
356Q8×Dic73C2311yescharacteristic, complemented
357#14556556—21no—
358#14556556C2311yescharacteristic, complemented
359#14556556C2311yescharacteristic, complemented
360D4×Dic73—21no—
361D4×Dic73—21no—
362D4×Dic73—21no—
363D4×Dic73—21no—
364D4×Dic73C2311yescharacteristic
365D4×Dic73C2311yescharacteristic
366D4×Dic73C2311yescharacteristic
367D4×Dic73C2311yescharacteristic
368D4×Dic73C2311yescharacteristic, complemented
369C4×C22⋊D73—21no—
370C4×C22⋊D73—21no—
371C4×C22⋊D73—21no—
372C4×C22⋊D73—21no—
373C4×C22⋊D73C2311yescharacteristic
374C4×C22⋊D73C2311yescharacteristic
375C4×C22⋊D73C2311yescharacteristic
376C4×C22⋊D73C2311yescharacteristic
377#14556551—21no—
378#14556551—21no—
379#14556551—21no—
380#14556550—21no—
381#14556550C2311yescharacteristic
382#14556550C2311yescharacteristic
383#14556550C2311yescharacteristic, complemented
384#14556549C2311yescharacteristic
385C2×#11924007—21no—
386C4⋊C4×D73—21no—
387C4⋊C4×D73C2311yescharacteristic
388C2×C22⋊Dic73—21no—
389C2×C22⋊Dic73—21no—
390C2×#11924005—21no—
391C2×#11924005—21no—
392C2×#11924005—21no—
393C2×#11924005—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#14556516C2311yescharacteristic, complemented
410#14556516C2311yescharacteristic, complemented
411#14556515C2311yescharacteristic, complemented
412#14556515C2311yescharacteristic, complemented
413#14556515C2311yescharacteristic, complemented
414#14556515C2311yescharacteristic, complemented
415#14556513C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
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—44no—
496C23×D73—82no—
497C23×D73—82no—
498C23×D73C2×D411yescharacteristic
499#11924027—41no—
500#11924027—41no—
501C2×Dic146—21no—
502C2×Dic146—21no—
503C2×Dic146—21no—
504C2×Dic146—41no—
505C2×Dic146—41no—
506C2×Dic146C2411yescharacteristic
507C2×Dic146C2411yescharacteristic
508Q8×D73—41no—
509Q8×D73—41no—
510C2×D292—21no—
511C2×D292—41no—
512C2×D292—41no—
513C2×D292C2411yescharacteristic
514C2×D292C2411yescharacteristic
515C2×C22⋊D73—21no—
516C2×C22⋊D73—21no—
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—44no—
532C2×C22⋊D73—82no—
533C2×C22⋊D73—82no—
534C2×C22⋊D73—82no—
535C2×C22⋊D73—82no—
536C2×C22⋊D73C2×D411yescharacteristic
537C2×C22⋊D73C2×D411yescharacteristic
538C2×C22⋊D73C2×D411yescharacteristic
539C2×C22⋊D73C2×D411yescharacteristic
540D4×D73—22no—
541D4×D73—22no—
542D4×D73—22no—
543D4×D73—22no—
544D4×D73—41no—
545D4×D73—41no—
546D4×D73—41no—
547D4×D73—41no—
548D4×D73—44no—
549D4×D73—44no—
550C22×Dic73—21no—
551C22×Dic73—21no—
552C22×Dic73—21no—
553C22×Dic73—21no—
554C22×Dic73—21no—
555C22×Dic73—21no—
556C22×Dic73—21no—
557C22×Dic73C2×D411yescharacteristic
558C2×C4×D73—21no—
559C2×C4×D73—21no—
560C2×C4×D73—41no—
561C2×C4×D73—41no—
562C2×C4×D73C2×D411yescharacteristic
563C2×C4×D73C2×D411yescharacteristic
564C2×C4×D73C2411yescharacteristic
565C2×C4×D73C2411yescharacteristic
566#11924018—41no—
567#11924018—41no—
568#11924017—41no—
569#11924017—41no—
570#11924017—41no—
571#11924017—41no—
572#11924016—22no—
573#11924016—22no—
574#11924016—22no—
575#11924016—22no—
576#11924016—41no—
577#11924016—41no—
578#11924015—41no—
579#11924015—41no—
580#11924013—41no—
581#11924013—41no—
582#11924012—41no—
583#11924011—41no—
584#11924011—41no—
585C2×#10596831—41no—
586C2×#10596831C2411yescharacteristic
587C2×#10596831C2411yescharacteristic
588C2×#10596831C2411yescharacteristic
589C2×#10596831C2411yescharacteristic
590C8×D73—41no—
591C8×D73—41no—
592C4⋊Dic73—21no—
593C4⋊Dic73—21no—
594C4⋊Dic73—21no—
595C4⋊Dic73—21no—
596C4⋊Dic73C2×D411yescharacteristic
597C4⋊Dic73C2×D411yescharacteristic
598C4⋊Dic73C2411yescharacteristic
599C4⋊Dic73C2411yescharacteristic
600C4⋊Dic73C2411yescharacteristic
601C4⋊Dic73C2411yescharacteristic
602#11924007—21no—
603#11924007—21no—
604#11924007—21no—
605#11924007—21no—
606#11924007—21no—
607#11924007—21no—
608#11924007—21no—
609#11924007—21no—
610#11924007—21no—
611#11924007—21no—
612#11924007—21no—
613#11924007—21no—
614#11924007—21no—
615#11924007—21no—
616#11924007C2×D411yescharacteristic
617#11924007C2×D411yescharacteristic
618#11924007C2×D411yescharacteristic
619#11924007C2×D411yescharacteristic
620C22⋊Dic73—21no—
621C22⋊Dic73—21no—
622C22⋊Dic73—21no—
623C22⋊Dic73—21no—
624C22⋊Dic73—21no—
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⋊Dic73C2×D411yescharacteristic
637C22⋊Dic73C2×D411yescharacteristic
638C22⋊Dic73C2×D411yescharacteristic
639C22⋊Dic73C2×D411yescharacteristic
640C22⋊Dic73C2×D411yescharacteristic
641C22⋊Dic73C2×D411yescharacteristic
642#11924005—21no—
643#11924005—21no—
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#11924005C2×D411yescharacteristic
657#11924005C2×D411yescharacteristic
658#11924005C2×D411yescharacteristic
659#11924005C2×D411yescharacteristic
660C4×Dic73—21no—
661C4×Dic73—21no—
662C4×Dic73—21no—
663C4×Dic73—21no—
664C4×Dic73—21no—
665C4×Dic73—21no—
666C4×Dic73C2411yescharacteristic
667C4×Dic73C2411yescharacteristic
668C24×C73—21no—
669C24×C73—21no—
670C24×C73—21no—
671#41×C73—22no—
672#41×C73—22no—
673#41×C73—41no—
674#41×C73—41no—
675#41×C73—41no—
676#41×C73—41no—
677#41×C73—41no—
678#41×C73—41no—
679#41×C73—41no—
680#41×C73—41no—
681#41×C73—44no—
682C2×Q8×C73C2×D411yescharacteristic
683C2×Q8×C73C2411yescharacteristic
684C2×Q8×C73C2411yescharacteristic
685C2×D4×C73—22no—
686C2×D4×C73—22no—
687C2×D4×C73—22no—
688C2×D4×C73—22no—
689C2×D4×C73—21no—
690C2×D4×C73—21no—
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—41no—
699C2×D4×C73—41no—
700C2×D4×C73—44no—
701C2×D4×C73—44no—
702C2×D4×C73—44no—
703C2×D4×C73C2×D411yescharacteristic
704C2×D4×C73C2×D411yescharacteristic
705C2×D4×C73C2×D411yescharacteristic
706C2×D4×C73C2411yescharacteristic
707C2×D4×C73C2411yescharacteristic
708C2×D4×C73C2411yescharacteristic
709C2×D4×C73C2411yescharacteristic
710C22×C4×C73—21no—
711C22×C4×C73—21no—
712C22×C4×C73—21no—
713C22×C4×C73—21no—
714C22×C4×C73—21no—
715C22×C4×C73C2411yescharacteristic
716C22×C4×C73C2411yescharacteristic
717C22×C4×C73C2411yescharacteristic
718Q16×C73—41no—
719SD16×C73—22no—
720SD16×C73—22no—
721SD16×C73—41no—
722SD16×C73—41no—
723D8×C73—22no—
724D8×C73—22no—
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×C73—21no—
734C4⋊C4×C73—21no—
735C4⋊C4×C73C2411yescharacteristic
736C4⋊C4×C73C2411yescharacteristic
737C22⋊C4×C73—21no—
738C22⋊C4×C73—21no—
739C22⋊C4×C73—21no—
740C22⋊C4×C73—21no—
741C23×C73—24no—
742C23×C73—21no—
743C23×C73—21no—
744C23×C73—21no—
745C23×C73—21no—
746C23×C73—42no—
747C23×C73—42no—
748C23×C73—81no—
749C23×C73—81no—
750C23×C73—81no—
751C23×C73—81no—
752C23×C73—81no—
753C23×C73—81no—
754C23×C73C22×D411yescharacteristic
755C23×C73C22×D411yescharacteristic
756C23×C73C22×D411yescharacteristic
757C22×D73—22no—
758C22×D73—21no—
759C22×D73—21no—
760C22×D73—41no—
761C22×D73—41no—
762C22×D73—42no—
763C22×D73—42no—
764C22×D73—42no—
765C22×D73—42no—
766C22×D73—42no—
767C22×D73—42no—
768C22×D73—42no—
769C22×D73—42no—
770C22×D73—42no—
771C22×D73—81no—
772C22×D73—81no—
773C22×D73—81no—
774C22×D73—81no—
775C22×D73—81no—
776C22×D73—81no—
777C22×D73—816no—
778C22×D73C22×D411yescharacteristic
779C22×D73C22×D411yescharacteristic
780Q8×C73—21no—
781Q8×C73—21no—
782Q8×C73—21no—
783Q8×C73—21no—
784Q8×C73—41no—
785D4×C73—24no—
786D4×C73—21no—
787D4×C73—21no—
788D4×C73—21no—
789D4×C73—21no—
790D4×C73—21no—
791D4×C73—21no—
792D4×C73—41no—
793D4×C73—41no—
794D4×C73—41no—
795D4×C73—42no—
796D4×C73—42no—
797D4×C73—42no—
798D4×C73—42no—
799D4×C73—42no—
800D4×C73—81no—
801D4×C73—81no—
802D4×C73—81no—
803D4×C73H(5,𝔽2)12yes—
804D4×C73H(5,𝔽2)12yes—
805C2×C4×C73—21no—
806C2×C4×C73—21no—
807C2×C4×C73—21no—
808C2×C4×C73—21no—
809C2×C4×C73—21no—
810C2×C4×C73—21no—
811C2×C4×C73—21no—
812C2×C4×C73—21no—
813C2×C4×C73—21no—
814C2×C4×C73—21no—
815C2×C4×C73—42no—
816C2×C4×C73—42no—
817C2×C4×C73—42no—
818C2×C4×C73—81no—
819C2×C4×C73—81no—
820C2×C4×C73C22×D411yescharacteristic
821C2×C4×C73C22×D411yescharacteristic
822C2×C4×C73C22×D411yescharacteristic
823C2×C4×C73C2511yescharacteristic
824C22⋊D73—22no—
825C22⋊D73—22no—
826C22⋊D73—41no—
827C22⋊D73—41no—
828C22⋊D73—42no—
829C22⋊D73—42no—
830C22⋊D73—42no—
831C22⋊D73—42no—
832C22⋊D73—42no—
833C22⋊D73—42no—
834C22⋊D73—42no—
835C22⋊D73—81no—
836C22⋊D73—81no—
837C22⋊D73—81no—
838C22⋊D73—81no—
839C22⋊D73—81no—
840C22⋊D73—81no—
841C22⋊D73—81no—
842C22⋊D73—81no—
843C22⋊D73—81no—
844C2×Dic73—21no—
845C2×Dic73—21no—
846C2×Dic73—21no—
847C2×Dic73—21no—
848C2×Dic73—21no—
849C2×Dic73—21no—
850C2×Dic73—41no—
851C2×Dic73—81no—
852C2×Dic73—81no—
853C2×Dic73—81no—
854C2×Dic73—81no—
855C2×Dic73—81no—
856C2×Dic73—81no—
857C2×Dic73—81no—
858C2×Dic73C22×D411yescharacteristic
859C2×Dic73C22×D411yescharacteristic
860C2×Dic73C22×D411yescharacteristic
861C2×Dic73C22×D411yescharacteristic
862C2×Dic73C22×D411yescharacteristic
863C2×Dic73C22×D411yescharacteristic
864D292—21no—
865D292—21no—
866D292—21no—
867D292—21no—
868D292—42no—
869C4×D73—21no—
870C4×D73—21no—
871C4×D73—21no—
872C4×D73—21no—
873C4×D73—41no—
874C4×D73—41no—
875C4×D73—81no—
876C4×D73—81no—
877Dic146—21no—
878Dic146—21no—
879Dic146—21no—
880Dic146—21no—
881Dic146—81no—
882Dic146—81no—
883Dic146—81no—
884C8×C73—21no—
885C8×C73—21no—
886C8×C73—21no—
887C8×C73—21no—
888#10596831—21no—
889#10596831—21no—
890#10596831—21no—
891#10596831—21no—
892C22×C73—21no—
893C22×C73—21no—
894C22×C73—21no—
895C22×C73—21no—
896C22×C73—21no—
897C22×C73—22no—
898C22×C73—22no—
899C22×C73—21no—
900C22×C73—21no—
901C22×C73—21no—
902C22×C73—21no—
903C22×C73—41no—
904C22×C73—41no—
905C22×C73—41no—
906C22×C73—41no—
907C22×C73—41no—
908C22×C73—41no—
909C22×C73—41no—
910C22×C73—41no—
911C22×C73—41no—
912C22×C73—41no—
913C22×C73—84no—
914C22×C73—162no—
915C22×C73—162no—
916C22×C73C23×D411yescharacteristic
917C2×D73—21no—
918C2×D73—21no—
919C2×D73—21no—
920C2×D73—21no—
921C2×D73—21no—
922C2×D73—44no—
923C2×D73—41no—
924C2×D73—41no—
925C2×D73—41no—
926C2×D73—41no—
927C2×D73—41no—
928C2×D73—41no—
929C2×D73—84no—
930C2×D73—84no—
931C2×D73—84no—
932C2×D73—84no—
933C2×D73—84no—
934C2×D73#57712yes—
935C4×C73—21no—
936C4×C73—21no—
937C4×C73—21no—
938C4×C73—41no—
939C4×C73—41no—
940C4×C73—41no—
941C4×C73—41no—
942C4×C73C2×H(5,𝔽2)11yescharacteristic
943C4×C73C2×H(5,𝔽2)11yescharacteristic
944Dic73—21no—
945Dic73—21no—
946Dic73—21no—
947Dic73—21no—
948Dic73—21no—
949Dic73—21no—
950Dic73—41no—
951Dic73—41no—
952Dic73—41no—
953Dic73—41no—
954Dic73—41no—
955Dic73—41no—
956#61610—731nomaximal, Sylow
957C2×C73—41no—
958C2×C73—42no—
959C2×C73—42no—
960C2×C73—41no—
961C2×C73—41no—
962C2×C73—81no—
963C2×C73—81no—
964C2×C73#348411yescharacteristic
965C2×C73C2×#57711yescharacteristic
966C2×C73#358511yescharacteristic
967D73—22no—
968D73—41no—
969D73—81no—
970D73—81no—
971#3541—731no—
972#3484—731no—
973#3324—731no—
974#3323—731no—
975#3318—731no—
976#3314—731no—
977#3311—731no—
978#3310—731no—
979#3297—731no—
980#3295—731no—
981#3282—731no—
982D4×SD16—731no—
983#3275—731no—
984#3272—731no—
985#3267—731no—
986#3266—731no—
987#3265—731no—
988#3265—731no—
989#3224—731no—
990#3222—731no—
991#3200—731no—
992#3198—731no—
993#3196—731no—
994#3191—731no—
995#3123—731no—
996#3118—731no—
997#3012D7311yescharacteristic, complemented
998#3009—731no—
999#3003—731no—
1000C2×#450—731no—
1001#2976—731no—
1002C73#6161011yescharacteristic, complemented, Sylow
1003C2×H(5,𝔽2)C2×D7311yescharacteristic
1004C23×D4—731no—
1005C2×#137—731no—
1006C2×AGL(1,ℤ/8)—731no—
1007C2×AGL(1,ℤ/8)—731no—
1008C2×AGL(1,ℤ/8)C2×D7311yescharacteristic, complemented
1009C2×#135C2×D7311yescharacteristic, complemented
1010C22×SD16—731no—
1011C22×SD16—731no—
1012C22×SD16—731no—
1013#563—1461no—
1014#562—1461no—
1015#556—731no—
1016#554—731no—
1017#554—1461no—
1018#553—731no—
1019#553—1461no—
1020#552—731no—
1021D4×Q8—731no—
1022#548—731no—
1023#548—731no—
1024#547—731no—
1025#546—731no—
1026#546—731no—
1027#546—731no—
1028#546—731no—
1029#546—1461no—
1030#546—1461no—
1031D42—731no—
1032D42—731no—
1033D42—731no—
1034D42—731no—
1035D42—1461no—
1036D42—1461no—
1037#542—731no—
1038#542—1461no—
1039#541—731no—
1040#539—1461no—
1041#538—1461no—
1042#538—1461no—
1043#537C2×D7311yescharacteristic, complemented
1044#536—731no—
1045#535—731no—
1046#535—731no—
1047#534—1461no—
1048#534—1461no—
1049#525—731no—
1050#525—731no—
1051#525—731no—
1052C2×C22⋊Q8—731no—
1053C2×#120—1461no—
1054C2×#120—1461no—
1055#518—731no—
1056#497—731no—
1057#496—731no—
1058#495—731no—
1059#492—731no—
1060#490—731no—
1061#489—731no—
1062#488—731no—
1063#486—731no—
1064#485—731no—
1065#485—731no—
1066#485—731no—
1067#485—731no—
1068#484—731no—
1069#482—731no—
1070#482—731no—
1071#482—731no—
1072#482—731no—
1073#481—731no—
1074#481—731no—
1075#480—731no—
1076#478—731no—
1077#478—731no—
1078#476—731no—
1079#474—731no—
1080#470—731no—
1081#470—731no—
1082#469—731no—
1083#468—731no—
1084#468—731no—
1085#468—731no—
1086#468—731no—
1087#468—731no—
1088#467—731no—
1089#466—731no—
1090#466—731no—
1091#465—731no—
1092#465—731no—
1093#465—731no—
1094#465—731no—
1095#465—731no—
1096#464—731no—
1097#464—731no—
1098#464—731no—
1099#463—731no—
1100#463—731no—
1101#463—731no—
1102#461—731no—
1103#461—731no—
1104#460—731no—
1105#460—731no—
1106#460—731no—
1107#459—731no—
1108#452—731no—
1109#452—731no—
1110#452—731no—
1111#452—731no—
1112#452—731no—
1113#452C2×D7311yescharacteristic, complemented
1114#452C2×D7311yescharacteristic, complemented
1115#451—731no—
1116#450—731no—
1117#450—731no—
1118#450—731no—
1119#450—731no—
1120#450—731no—
1121#450—731no—
1122#450—731no—
1123#450—731no—
1124#450—731no—
1125#450—731no—
1126#450—731no—
1127#450—731no—
1128#450—731no—
1129#450C2×D7311yescharacteristic
1130#450C2×D7311yescharacteristic, complemented
1131#449—731no—
1132#449—731no—
1133#449—731no—
1134#449C2×D7311yescharacteristic, complemented
1135#449C2×D7311yescharacteristic, complemented
1136#448—731no—
1137#448—731no—
1138#448—731no—
1139#447—731no—
1140#447—731no—
1141#447—731no—
1142#447C2×D7311yescharacteristic
1143#447C2×D7311yescharacteristic, complemented
1144#442—731no—
1145#440—731no—
1146#440—731no—
1147#440—731no—
1148C4×SD16—731no—
1149C4×SD16—731no—
1150C4×SD16—731no—
1151C4×D8—731no—
1152#436—731no—
1153#436—731no—
1154#435—731no—
1155#435—731no—
1156#435—731no—
1157#435—731no—
1158C8×D4—731no—
1159C8×D4—731no—
1160#433—731no—
1161#433—731no—
1162#418—731no—
1163#418—731no—
1164#418—731no—
1165#417C2×D7311yescharacteristic, complemented
1166#416—731no—
1167C2×#102—731no—
1168C2×#102—731no—
1169C2×#102C2×D7311yescharacteristic, complemented
1170#408—731no—
1171#408C2×D7311yescharacteristic, complemented
1172#407—731no—
1173C2×C22⋊C8—731no—
1174C25—1461no—
1175H(5,𝔽2)—42no—
1176H(5,𝔽2)—42no—
1177C2×#41—21no—
1178C2×#41—731no—
1179C2×#41C22×D7311yescharacteristic
1180C2×#41C22×D7311yescharacteristic
1181C2×#41C22×D7311yescharacteristic
1182C2×#41C22×D7311yescharacteristic
1183C2×#41C22×D7311yescharacteristic, complemented
1184C22×Q8—731no—
1185C22×Q8—731no—
1186C22×D4—21no—
1187C22×D4—21no—
1188C22×D4—21no—
1189C22×D4—2922no—
1190C22×D4—2922no—
1191C22×D4—731no—
1192C22×D4—731no—
1193C22×D4—731no—
1194C22×D4—731no—
1195C22×D4—731no—
1196C22×D4—1461no—
1197C22×D4—1461no—
1198C22×D4—1461no—
1199C22×D4—1461no—
1200C22×D4—1461no—
1201C22×D4—1461no—
1202C22×D4—1461no—
1203C22×D4C22×D7311yescharacteristic
1204C22×D4C22×D7311yescharacteristic
1205C22×D4C22×D7311yescharacteristic
1206C23×C4—731no—
1207#137—2922no—
1208AGL(1,ℤ/8)—42no—
1209AGL(1,ℤ/8)—2922no—
1210AGL(1,ℤ/8)—2922no—
1211#135—42no—
1212C2×Q16—731no—
1213C2×Q16—731no—
1214C2×Q16C22×D7311yescharacteristic, complemented
1215C2×SD16—2922no—
1216C2×SD16—2922no—
1217C2×SD16—2922no—
1218C2×SD16—731no—
1219C2×SD16—731no—
1220C2×SD16—731no—
1221C2×SD16—731no—
1222C2×SD16—731no—
1223C2×SD16—731no—
1224C2×SD16—731no—
1225C2×SD16—731no—
1226C2×SD16—731no—
1227C2×SD16—731no—
1228C2×SD16—731no—
1229C2×SD16—731no—
1230C2×SD16C22×D7311yescharacteristic
1231C2×SD16C22×D7311yescharacteristic
1232C2×SD16C22×D7311yescharacteristic, complemented
1233C2×SD16C22×D7311yescharacteristic, complemented
1234C2×D8—731no—
1235C2×D8—731no—
1236C2×D8C22×D7311yescharacteristic
1237C2×D8C22×D7311yescharacteristic
1238C2×D8C22×D7311yescharacteristic, complemented
1239C2×M16—731no—
1240C2×M16—731no—
1241C2×M16—731no—
1242C2×M16C22×D7311yescharacteristic, complemented
1243C22×C8—731no—
1244C22×C8—731no—
1245C22×C8—731no—
1246C22×C8C22×D7311yescharacteristic, complemented
1247C4⋊Q8—731no—
1248C4⋊Q8—731no—
1249C4⋊Q8—1461no—
1250C4⋊Q8—1461no—
1251#127—731no—
1252#127—731no—
1253#127—1461no—
1254#126—1461no—
1255#126—1461no—
1256#126—1461no—
1257#126—1461no—
1258#126—1461no—
1259#126—1461no—
1260#126—1461no—
1261#125—731no—
1262#125—1461no—
1263#125—1461no—
1264#125—1461no—
1265#125—1461no—
1266#124—731no—
1267#124—731no—
1268#124—731no—
1269#124—1461no—
1270#124—1461no—
1271#124—1461no—
1272#124—1461no—
1273#124—1461no—
1274#124—1461no—
1275#123—731no—
1276#123—731no—
1277#123—1461no—
1278#123—1461no—
1279#123—1461no—
1280#123—1461no—
1281#123—1461no—
1282#123—1461no—
1283#123—1461no—
1284#123—1461no—
1285#123—1461no—
1286#123—1461no—
1287#123—1461no—
1288#123—1461no—
1289#123—1461no—
1290C22⋊Q8—21no—
1291C22⋊Q8—731no—
1292C22⋊Q8—731no—
1293C22⋊Q8—731no—
1294C22⋊Q8—731no—
1295C22⋊Q8—731no—
1296C22⋊Q8—731no—
1297C22⋊Q8—731no—
1298C22⋊Q8—731no—
1299C22⋊Q8—731no—
1300C22⋊Q8—731no—
1301C22⋊Q8—731no—
1302C22⋊Q8—1461no—
1303C22⋊Q8—1461no—
1304C22⋊Q8—1461no—
1305C22⋊Q8—1461no—
1306C22⋊Q8—1461no—
1307C22⋊Q8—1461no—
1308C22⋊Q8—1461no—
1309C22⋊Q8—1461no—
1310C22⋊Q8—1461no—
1311C22⋊Q8C22×D7311yescharacteristic
1312C22⋊Q8C22×D7311yescharacteristic, complemented
1313#121—21no—
1314#121—21no—
1315#121—21no—
1316#121—731no—
1317#121—731no—
1318#121—731no—
1319#121—731no—
1320#121—731no—
1321#121—731no—
1322#121—731no—
1323#121—731no—
1324#121—731no—
1325#121—1461no—
1326#121—1461no—
1327#121—1461no—
1328#121—1461no—
1329#121—1461no—
1330#121—1461no—
1331#121—1461no—
1332#121—1461no—
1333#121—1461no—
1334#121—1461no—
1335#121—1461no—
1336#121—1461no—
1337#121—1461no—
1338#121—1461no—
1339#121C22×D7311yescharacteristic
1340#121C22×D7311yescharacteristic, complemented
1341#120—731no—
1342#120—731no—
1343#120—1461no—
1344#120—1461no—
1345#120—1461no—
1346#120—1461no—
1347#120—1461no—
1348#120—1461no—
1349#120—1461no—
1350#120—1461no—
1351#120—1461no—
1352#120—1461no—
1353#120—1461no—
1354#120—1461no—
1355#120—1461no—
1356#120—1461no—
1357#120—1461no—
1358#120—1461no—
1359#120—1461no—
1360#120—1461no—
1361C4×Q8—731no—
1362C4×Q8—731no—
1363C4×Q8—731no—
1364C4×Q8—1461no—
1365C4×D4—731no—
1366C4×D4—731no—
1367C4×D4—731no—
1368C4×D4—731no—
1369C4×D4—731no—
1370C4×D4—731no—
1371C4×D4—731no—
1372C4×D4—731no—
1373C4×D4—731no—
1374C4×D4—1461no—
1375C4×D4—1461no—
1376C4×D4—1461no—
1377C4×D4—1461no—
1378C4×D4—1461no—
1379C4×D4—1461no—
1380C4×D4—1461no—
1381C4×D4—1461no—
1382C4×D4—1461no—
1383C4×D4—1461no—
1384C4×D4—1461no—
1385#117—731no—
1386#117—731no—
1387#117—731no—
1388#117—731no—
1389#117—1461no—
1390C2×C4⋊C4—731no—
1391C2×C4⋊C4—1461no—
1392C2×C4⋊C4—1461no—
1393C2×C4⋊C4C22×D7311yescharacteristic, complemented
1394C2×C22⋊C4—1461no—
1395C2×C22⋊C4—1461no—
1396C2×C22⋊C4—1461no—
1397C2×C22⋊C4—1461no—
1398C2×C22⋊C4—1461no—
1399C2×C22⋊C4—1461no—
1400C2×C22⋊C4—1461no—
1401#107—731no—
1402#107—731no—
1403#107—731no—
1404#107—731no—
1405#106—731no—
1406#106—731no—
1407#106—731no—
1408#106—731no—
1409C4⋊C8—731no—
1410C4⋊C8—731no—
1411C4⋊C8—731no—
1412C4⋊C8—731no—
1413#103—731no—
1414#103—731no—
1415#103—731no—
1416#103—731no—
1417#103—731no—
1418#103—731no—
1419#103—731no—
1420#103—731no—
1421#103C22×D7311yescharacteristic, complemented
1422#103C22×D7311yescharacteristic, complemented
1423#102—731no—
1424#102—731no—
1425#102—731no—
1426#102—731no—
1427#102—731no—
1428#102—731no—
1429#102—731no—
1430#102—731no—
1431#102—731no—
1432#102—731no—
1433#102—731no—
1434#102—731no—
1435#102—731no—
1436#102—731no—
1437#102—731no—
1438#102—731no—
1439#102C22×D7311yescharacteristic
1440#102C22×D7311yescharacteristic
1441#102C22×D7311yescharacteristic
1442#102C22×D7311yescharacteristic
1443#102C22×D7311yescharacteristic, complemented
1444#102C22×D7311yescharacteristic, complemented
1445C22⋊C8—731no—
1446C22⋊C8—731no—
1447C22⋊C8—731no—
1448C22⋊C8—731no—
1449C22⋊C8—731no—
1450C22⋊C8—731no—
1451C22⋊C8—731no—
1452C22⋊C8—731no—
1453C22⋊C8C22×D7311yescharacteristic
1454C22⋊C8C22×D7311yescharacteristic
1455C22⋊C8C22×D7311yescharacteristic, complemented
1456C22⋊C8C22×D7311yescharacteristic, complemented
1457#97—731no—
1458#97—731no—
1459C4×C8—731no—
1460C4×C8—731no—
1461C24—21no—
1462C24—21no—
1463C24—21no—
1464C24—2924no—
1465C24—5842no—
1466C24—5842no—
1467C24—731no—
1468C24—1461no—
1469C24—1461no—
1470C24—1461no—
1471C24—1461no—
1472C24—1461no—
1473#41—22no—
1474#41—22no—
1475#41—41no—
1476#41—41no—
1477#41—41no—
1478#41—41no—
1479#41—41no—
1480#41—41no—
1481#41—41no—
1482#41—41no—
1483#41—44no—
1484#41—2921no—
1485#41—2921no—
1486C2×Q8—2921no—
1487C2×Q8—2921no—
1488C2×Q8—2921no—
1489C2×Q8—2921no—
1490C2×Q8—731no—
1491C2×Q8—731no—
1492C2×Q8—1461no—
1493C2×Q8—1461no—
1494C2×Q8—1461no—
1495C2×Q8D4×D7311yescharacteristic
1496C2×Q8C23×D7311yescharacteristic
1497C2×Q8C23×D7311yescharacteristic
1498C2×D4—22no—
1499C2×D4—22no—
1500C2×D4—22no—
1501C2×D4—22no—
1502C2×D4—21no—
1503C2×D4—21no—
1504C2×D4—21no—
1505C2×D4—21no—
1506C2×D4—21no—
1507C2×D4—21no—
1508C2×D4—21no—
1509C2×D4—21no—
1510C2×D4—21no—
1511C2×D4—41no—
1512C2×D4—41no—
1513C2×D4—44no—
1514C2×D4—44no—
1515C2×D4—44no—
1516C2×D4—2921no—
1517C2×D4—2921no—
1518C2×D4—2924no—
1519C2×D4—2924no—
1520C2×D4—2924no—
1521C2×D4—2921no—
1522C2×D4—2921no—
1523C2×D4—2921no—
1524C2×D4—2921no—
1525C2×D4—5842no—
1526C2×D4—5842no—
1527C2×D4—5842no—
1528C2×D4—5842no—
1529C2×D4—731no—
1530C2×D4—731no—
1531C2×D4—731no—
1532C2×D4—731no—
1533C2×D4—731no—
1534C2×D4—731no—
1535C2×D4—1461no—
1536C2×D4—1461no—
1537C2×D4—1461no—
1538C2×D4—1461no—
1539C2×D4—1461no—
1540C2×D4—1461no—
1541C2×D4—1461no—
1542C2×D4—1461no—
1543C2×D4—1461no—
1544C2×D4—1461no—
1545C2×D4—1461no—
1546C2×D4—1462no—
1547C2×D4—1462no—
1548C2×D4—1462no—
1549C2×D4—1462no—
1550C2×D4—1461no—
1551C2×D4—1461no—
1552C2×D4—1461no—
1553C2×D4—1461no—
1554C2×D4—1461no—
1555C2×D4—1461no—
1556C2×D4D4×D7311yescharacteristic
1557C2×D4D4×D7311yescharacteristic
1558C2×D4D4×D7311yescharacteristic
1559C2×D4C23×D7311yescharacteristic
1560C2×D4C23×D7311yescharacteristic
1561C2×D4C23×D7311yescharacteristic
1562C2×D4C23×D7311yescharacteristic
1563C22×C4—21no—
1564C22×C4—21no—
1565C22×C4—21no—
1566C22×C4—21no—
1567C22×C4—21no—
1568C22×C4—2921no—
1569C22×C4—2921no—
1570C22×C4—731no—
1571C22×C4—731no—
1572C22×C4—731no—
1573C22×C4—731no—
1574C22×C4—731no—
1575C22×C4—1461no—
1576C22×C4—1461no—
1577C22×C4—1461no—
1578C22×C4—1461no—
1579C22×C4—1461no—
1580C22×C4—1461no—
1581C22×C4—1461no—
1582C22×C4—1461no—
1583C22×C4—1461no—
1584C22×C4C23×D7311yescharacteristic
1585C22×C4C23×D7311yescharacteristic
1586C22×C4C23×D7311yescharacteristic
1587Q16—41no—
1588Q16—2921no—
1589Q16—2921no—
1590SD16—22no—
1591SD16—22no—
1592SD16—41no—
1593SD16—41no—
1594SD16—2921no—
1595SD16—2921no—
1596SD16—2921no—
1597SD16—2921no—
1598SD16—2921no—
1599SD16—2921no—
1600SD16—2921no—
1601SD16—2921no—
1602SD16—1462no—
1603SD16—1462no—
1604SD16—1462no—
1605SD16—1462no—
1606D8—22no—
1607D8—22no—
1608D8—41no—
1609D8—2921no—
1610D8—2921no—
1611M16—41no—
1612M16—2921no—
1613M16—2921no—
1614M16—2921no—
1615C2×C8—41no—
1616C2×C8—2921no—
1617C2×C8—2921no—
1618C2×C8—2921no—
1619C2×C8—731no—
1620C2×C8—731no—
1621C2×C8—731no—
1622C2×C8—731no—
1623C2×C8C23×D7311yescharacteristic
1624C2×C8C23×D7311yescharacteristic
1625C2×C8C23×D7311yescharacteristic
1626C2×C8C23×D7311yescharacteristic
1627C4⋊C4—21no—
1628C4⋊C4—21no—
1629C4⋊C4—21no—
1630C4⋊C4—731no—
1631C4⋊C4—731no—
1632C4⋊C4—731no—
1633C4⋊C4—731no—
1634C4⋊C4—731no—
1635C4⋊C4—731no—
1636C4⋊C4—731no—
1637C4⋊C4—731no—
1638C4⋊C4—731no—
1639C4⋊C4—731no—
1640C4⋊C4—1461no—
1641C4⋊C4—1461no—
1642C4⋊C4—1461no—
1643C4⋊C4—1461no—
1644C4⋊C4—1461no—
1645C4⋊C4—1461no—
1646C4⋊C4—1461no—
1647C4⋊C4—1461no—
1648C4⋊C4—1461no—
1649C4⋊C4—1461no—
1650C4⋊C4—1461no—
1651C4⋊C4—1461no—
1652C4⋊C4—1461no—
1653C4⋊C4—1461no—
1654C4⋊C4—1461no—
1655C4⋊C4—1461no—
1656C4⋊C4—1461no—
1657C4⋊C4—1461no—
1658C4⋊C4C23×D7311yescharacteristic
1659C4⋊C4C23×D7311yescharacteristic
1660C22⋊C4—21no—
1661C22⋊C4—21no—
1662C22⋊C4—21no—
1663C22⋊C4—21no—
1664C22⋊C4—731no—
1665C22⋊C4—731no—
1666C22⋊C4—731no—
1667C22⋊C4—731no—
1668C22⋊C4—731no—
1669C22⋊C4—731no—
1670C22⋊C4—731no—
1671C22⋊C4—731no—
1672C22⋊C4—731no—
1673C22⋊C4—731no—
1674C22⋊C4—1461no—
1675C22⋊C4—1461no—
1676C22⋊C4—1461no—
1677C22⋊C4—1461no—
1678C22⋊C4—1461no—
1679C22⋊C4—1461no—
1680C22⋊C4—1461no—
1681C22⋊C4—1461no—
1682C22⋊C4—1461no—
1683C22⋊C4—1461no—
1684C22⋊C4—1461no—
1685C22⋊C4—1461no—
1686C22⋊C4—1461no—
1687C22⋊C4—1461no—
1688C22⋊C4—1461no—
1689C22⋊C4—1461no—
1690C22⋊C4—1461no—
1691C22⋊C4—1461no—
1692C22⋊C4—1461no—
1693C22⋊C4—1461no—
1694C22⋊C4—1461no—
1695C22⋊C4—1461no—
1696C22⋊C4—1461no—
1697C22⋊C4—1461no—
1698C22⋊C4—1461no—
1699C22⋊C4—1461no—
1700C22⋊C4—1461no—
1701C22⋊C4—1461no—
1702C22⋊C4—1461no—
1703C22⋊C4—1461no—
1704C42—731no—
1705C42—731no—
1706C42—1461no—
1707C42—1461no—
1708C42—1461no—
1709C42—1461no—
1710C42—1461no—
1711C42—1461no—
1712C23—24no—
1713C23—21no—
1714C23—21no—
1715C23—21no—
1716C23—21no—
1717C23—42no—
1718C23—42no—
1719C23—81no—
1720C23—81no—
1721C23—81no—
1722C23—81no—
1723C23—81no—
1724C23—81no—
1725C23—2921no—
1726C23—2921no—
1727C23—2922no—
1728C23—2922no—
1729C23—2922no—
1730C23—2922no—
1731C23—2922no—
1732C23—2922no—
1733C23—2922no—
1734C23—2922no—
1735C23—2922no—
1736C23—5841no—
1737C23—5841no—
1738C23—5841no—
1739C23—5841no—
1740C23—5841no—
1741C23—5841no—
1742C23—58416no—
1743C23—731no—
1744C23—731no—
1745C23—1462no—
1746C23—1461no—
1747C23—1461no—
1748C23C2×D4×D7311yescharacteristic
1749C23C2×D4×D7311yescharacteristic
1750C23C2×D4×D7311yescharacteristic
1751Q8—21no—
1752Q8—21no—
1753Q8—21no—
1754Q8—21no—
1755Q8—41no—
1756Q8—5841no—
1757Q8—5841no—
1758Q8—5841no—
1759Q8—1461no—
1760Q8—1461no—
1761Q8—1461no—
1762Q8—1461no—
1763D4—24no—
1764D4—21no—
1765D4—21no—
1766D4—21no—
1767D4—21no—
1768D4—21no—
1769D4—21no—
1770D4—41no—
1771D4—41no—
1772D4—41no—
1773D4—42no—
1774D4—42no—
1775D4—42no—
1776D4—42no—
1777D4—42no—
1778D4—81no—
1779D4—81no—
1780D4—81no—
1781D4—2922no—
1782D4—2922no—
1783D4—2922no—
1784D4—2922no—
1785D4—2922no—
1786D4—2922no—
1787D4—2922no—
1788D4—2922no—
1789D4—2921no—
1790D4—2921no—
1791D4—5841no—
1792D4—5841no—
1793D4—5841no—
1794D4—5841no—
1795D4—5841no—
1796D4—5841no—
1797D4—5841no—
1798D4—5841no—
1799D4—5841no—
1800D4—1462no—
1801D4—1462no—
1802D4—1461no—
1803D4—1461no—
1804D4—1461no—
1805D4—1461no—
1806D4#1455663612yes—
1807D4#1455663612yes—
1808C2×C4—21no—
1809C2×C4—21no—
1810C2×C4—21no—
1811C2×C4—21no—
1812C2×C4—21no—
1813C2×C4—21no—
1814C2×C4—21no—
1815C2×C4—21no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—42no—
1819C2×C4—42no—
1820C2×C4—42no—
1821C2×C4—81no—
1822C2×C4—81no—
1823C2×C4—2921no—
1824C2×C4—2921no—
1825C2×C4—2921no—
1826C2×C4—5841no—
1827C2×C4—5841no—
1828C2×C4—5841no—
1829C2×C4—5841no—
1830C2×C4—5841no—
1831C2×C4—5841no—
1832C2×C4—5841no—
1833C2×C4—5841no—
1834C2×C4—5841no—
1835C2×C4—731no—
1836C2×C4—731no—
1837C2×C4—731no—
1838C2×C4—731no—
1839C2×C4—731no—
1840C2×C4—731no—
1841C2×C4—1461no—
1842C2×C4—1461no—
1843C2×C4—1461no—
1844C2×C4—1461no—
1845C2×C4—1461no—
1846C2×C4—1461no—
1847C2×C4—1461no—
1848C2×C4—1461no—
1849C2×C4—1461no—
1850C2×C4—1461no—
1851C2×C4C2×D4×D7311yescharacteristic
1852C2×C4C2×D4×D7311yescharacteristic
1853C2×C4C2×D4×D7311yescharacteristic
1854C2×C4C24×D7311yescharacteristic
1855C8—21no—
1856C8—21no—
1857C8—21no—
1858C8—21no—
1859C8—1461no—
1860C8—1461no—
1861C8—1461no—
1862C8—1461no—
1863C22—21no—
1864C22—21no—
1865C22—21no—
1866C22—22no—
1867C22—22no—
1868C22—21no—
1869C22—21no—
1870C22—21no—
1871C22—21no—
1872C22—21no—
1873C22—21no—
1874C22—41no—
1875C22—41no—
1876C22—41no—
1877C22—41no—
1878C22—41no—
1879C22—41no—
1880C22—41no—
1881C22—41no—
1882C22—41no—
1883C22—41no—
1884C22—84no—
1885C22—162no—
1886C22—162no—
1887C22—2924no—
1888C22—2921no—
1889C22—2921no—
1890C22—2921no—
1891C22—2921no—
1892C22—2921no—
1893C22—2921no—
1894C22—5844no—
1895C22—5844no—
1896C22—5844no—
1897C22—5844no—
1898C22—5844no—
1899C22—732no—
1900C22—1461no—
1901C22—1461no—
1902C22—1461no—
1903C22—1461no—
1904C22—1461no—
1905C22C22×D4×D7311yescharacteristic
1906C4—21no—
1907C4—21no—
1908C4—21no—
1909C4—41no—
1910C4—41no—
1911C4—41no—
1912C4—41no—
1913C4—2921no—
1914C4—2921no—
1915C4—2921no—
1916C4—2921no—
1917C4—2921no—
1918C4—2921no—
1919C4—1461no—
1920C4—1461no—
1921C4—1461no—
1922C4—1461no—
1923C4—1461no—
1924C4—1461no—
1925C4C2×#1455663611yescharacteristic
1926C4C2×#1455663611yescharacteristic
1927C2—41no—
1928C2—41no—
1929C2—41no—
1930C2—42no—
1931C2—42no—
1932C2—81no—
1933C2—81no—
1934C2—2921no—
1935C2—5841no—
1936C2—5841no—
1937C2—1462no—
1938C2#2262356011yescharacteristic
1939C2#577×D7311yescharacteristic
1940C2#2262470611yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3012C2
socleC22×C73C23×D4
hypercenter#3012D73
hypocenterC73#61610
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. #22624212C2semidirect
2. #22623562C2semidirect
3. #22622155C2semidirect
4. #22622148C2semidirect
5. #22622065C2semidirect
6. #22622013C2semidirect
7. #22621971C2semidirect
8. #22621948C2semidirect
9. #22621774C2semidirect
10. #22621751C2semidirect
11. #22621632C2semidirect
12. #22621625C2semidirect
13. #22621560C2semidirect
14. #22621525C2semidirect
15. #22621456C2semidirect
16. #22621439C2semidirect
17. #22621430C2semidirect
18. #22621420C2semidirect
19. #22621023C2semidirect
20. #22621001C2semidirect
21. #22620804C2semidirect
22. #22620777C2semidirect
23. #22620759C2semidirect
24. #22620721C2semidirect
25. #22620177C2semidirect
26. #22620108C2semidirect
27. #22619208C2semidirect
28. #22619155C2semidirect
29. #450×D73C2semidirect
30. #22618974C2semidirect
31. C73×#3012C2semidirect
33. C2×#14556621C22semidirect
34. C2×#14556615C22semidirect
35. C2×#14556615C22semidirect
36. C22×#11924016C22semidirect
37. C2×SD16×D73C22semidirect
38. C2×SD16×D73C22semidirect
41. #17989308C22semidirect
42. #17989292C22semidirect
45. #17989284C22semidirect
46. #17989272C22semidirect
47. #17989250C22semidirect
48. #17989244C22semidirect
49. #17989243C22semidirect
50. #17989236C22semidirect
64. #17989204C22semidirect
65. #17989197C22semidirect
69. #17989158C22semidirect
74. #17989097C22semidirect
77. C22⋊Q8×D73C22semidirect
81. #17988980C22semidirect
82. #17988975C22semidirect
83. #17988968C22semidirect
84. #17988958C22semidirect
85. #17988950C22semidirect
86. #17988948C22semidirect
87. #17988943C22semidirect
88. #17988932C22semidirect
89. #17988929C22semidirect
90. #17988929C22semidirect
91. #17988927C22semidirect
92. #17988925C22semidirect
93. #17988921C22semidirect
94. #17988912C22semidirect
95. #17988912C22semidirect
96. #17988910C22semidirect
97. #17988908C22semidirect
98. #17988905C22semidirect
99. #17988904C22semidirect
100. #17988900C22semidirect
101. #17988889C22semidirect
102. #17988885C22semidirect
103. #17988875C22semidirect
104. #17988865C22semidirect
105. #17988844C22semidirect
106. #17988842C22semidirect
107. #17988838C22semidirect
108. #17988835C22semidirect
109. #17988833C22semidirect
110. #17988833C22semidirect
111. #17988832C22semidirect
112. #17988830C22semidirect
113. #17988827C22semidirect
114. #17988821C22semidirect
115. #17988820C22semidirect
116. #17988818C22semidirect
117. #17988816C22semidirect
118. #17988816C22semidirect
119. #17988815C22semidirect
120. #17988813C22semidirect
121. #17988812C22semidirect
122. #17988812C22semidirect
123. #17988811C22semidirect
124. #17988804C22semidirect
125. #17988800C22semidirect
126. #17988800C22semidirect
127. #17988790C22semidirect
128. #17988790C22semidirect
129. #17988786C22semidirect
130. #17988786C22semidirect
131. #17988785C22semidirect
132. #17988780C22semidirect
133. #17988749C22semidirect
134. #17988749C22semidirect
135. #17988749C22semidirect
136. #17988749C22semidirect
137. #17988746C22semidirect
138. #17988741C22semidirect
139. #17988740C22semidirect
140. #17988740C22semidirect
141. #17988739C22semidirect
142. #17988739C22semidirect
143. #17988739C22semidirect
144. #17988739C22semidirect
147. #17988738C22semidirect
148. #17988738C22semidirect
149. #17988737C22semidirect
150. #17988736C22semidirect
151. #17988736C22semidirect
152. #17988732C22semidirect
153. #17988732C22semidirect
154. #17988729C22semidirect
155. #17988728C22semidirect
156. #17988728C22semidirect
157. #17988724C22semidirect
158. #17988720C22semidirect
159. #17988719C22semidirect
160. #17988719C22semidirect
161. #17988699C22semidirect
162. #17988688C22semidirect
163. #17988684C22semidirect
164. #17988684C22semidirect
165. #17988678C22semidirect
166. #17988678C22semidirect
167. SD16×Dic73C22semidirect
168. D8×Dic73C22semidirect
169. #17988663C22semidirect
170. #17988662C22semidirect
171. #17988661C22semidirect
172. #17988658C22semidirect
173. #17988656C22semidirect
174. #17988655C22semidirect
175. C8×C22⋊D73C22semidirect
176. #17988650C22semidirect
177. #17988645C22semidirect
178. #17988645C22semidirect
179. #17988592C22semidirect
180. #17988590C22semidirect
181. #17988590C22semidirect
182. #17988583C22semidirect
183. #102×D73C22semidirect
184. #102×D73C22semidirect
185. #17988554C22semidirect
186. #17988549C22semidirect
187. C22⋊C8×D73C22semidirect
189. C2×AGL(1,ℤ/8)×C73C22semidirect
190. C2×#135×C73C22semidirect
191. #537×C73C22semidirect
192. #452×C73C22semidirect
193. #452×C73C22semidirect
195. #450×C73C22semidirect
196. #449×C73C22semidirect
197. #449×C73C22semidirect
199. #447×C73C22semidirect
200. #417×C73C22semidirect
201. C2×#102×C73C22semidirect
202. #408×C73C22semidirect
205. C22×Dic146C23semidirect
225. C2×#11924018C23semidirect
226. C2×#11924018C23semidirect
236. C2×#11924016C23semidirect
237. C2×#11924016C23semidirect
244. C2×#11924012C23semidirect
247. C22×#10596831C23semidirect
251. #14556590C23semidirect
253. #14556589C23semidirect
265. #14556582C23semidirect
275. #14556578C23semidirect
299. #14556570C23semidirect
300. #14556570C23semidirect
356. Q8×Dic73C23semidirect
358. #14556556C23semidirect
359. #14556556C23semidirect
368. D4×Dic73C23semidirect
383. #14556550C23semidirect
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. #14556516C23semidirect
410. #14556516C23semidirect
411. #14556515C23semidirect
412. #14556515C23semidirect
413. #14556515C23semidirect
414. #14556515C23semidirect
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
997. #3012D73semidirect
1002. C73#61610semidirect
1008. C2×AGL(1,ℤ/8)C2×D73semidirect
1009. C2×#135C2×D73semidirect
1043. #537C2×D73semidirect
1113. #452C2×D73semidirect
1114. #452C2×D73semidirect
1130. #450C2×D73semidirect
1134. #449C2×D73semidirect
1135. #449C2×D73semidirect
1143. #447C2×D73semidirect
1165. #417C2×D73semidirect
1169. C2×#102C2×D73semidirect
1171. #408C2×D73semidirect
1183. C2×#41C22×D73semidirect
1214. C2×Q16C22×D73semidirect
1232. C2×SD16C22×D73semidirect
1233. C2×SD16C22×D73semidirect
1238. C2×D8C22×D73semidirect
1242. C2×M16C22×D73semidirect
1246. C22×C8C22×D73semidirect
1312. C22⋊Q8C22×D73semidirect
1340. #121C22×D73semidirect
1393. C2×C4⋊C4C22×D73semidirect
1421. #103C22×D73semidirect
1422. #103C22×D73semidirect
1443. #102C22×D73semidirect
1444. #102C22×D73semidirect
1455. C22⋊C8C22×D73semidirect
1456. C22⋊C8C22×D73semidirect

Maximal subgroups

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

subgroupindex
#226242122
#226235622
#226221552
#226221482
#226220652
#226220132
#226219712
#226219482
#226217742
#226217512
#226216322
#226216252
#226215602
#226215252
#226214562
#226214392
#226214302
#226214202
#226210232
#226210012
#226208042
#226207772
#226207592
#226207212
#226201772
#226201082
#226192082
#226191552
#450×D732
#226189742
C73×#30122
#6161073