Finite Group Databasebeta

← #33979382

Subgroups — #33979382

Order 18688.

1856 conjugacy classes of subgroups.

The subgroup lattice has 1790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624522C211yesmaximal, characteristic, complemented
2#22623883C211yesmaximal, characteristic, complemented
3#22623016C211yesmaximal, characteristic, complemented
4#22622990C211yesmaximal, characteristic, complemented
5#22622718C211yesmaximal, characteristic, complemented
6#22622650C211yesmaximal, characteristic, complemented
7#22622110C211yesmaximal, characteristic, complemented
8#22622082C211yesmaximal, characteristic, complemented
9#22621997C211yesmaximal, characteristic, complemented
10#22621969C211yesmaximal, characteristic, complemented
11#22621876C211yesmaximal, characteristic, complemented
12#22621852C211yesmaximal, characteristic, complemented
13#22621638C211yesmaximal, characteristic, complemented
14#22621609C211yesmaximal, characteristic, complemented
15#22621469C211yesmaximal, characteristic, complemented
16#22621450C211yesmaximal, characteristic, complemented
17#22621407C211yesmaximal, characteristic, complemented
18#22621358C211yesmaximal, characteristic, complemented
19#22621335C211yesmaximal, characteristic, complemented
20#22621255C211yesmaximal, characteristic, complemented
21#22621038C211yesmaximal, characteristic, complemented
22#22621023C211yesmaximal, characteristic, complemented
23#22620921C211yesmaximal, characteristic, complemented
24#22620177C211yesmaximal, characteristic, complemented
25#22620168C211yesmaximal, characteristic, complemented
26#22620044C211yesmaximal, characteristic, complemented
27#22619440C211yesmaximal, characteristic, complemented
28#22619436C211yesmaximal, characteristic, complemented
29#22619383C211yesmaximal, characteristic, complemented
30#22619066C211yesmaximal, characteristic, complemented
31C73×#3265C211yesmaximal, characteristic, complemented
32C2×#14556617C2211yescharacteristic
33C2×#14556612C2211yescharacteristic
34C2×#14556610C2211yescharacteristic, complemented
35C22×#11924013C2211yescharacteristic
36#17989333—21no—
37#17989325—21no—
38#17989323C2211yescharacteristic, complemented
39#17989319C2211yescharacteristic, complemented
40#17989309C2211yescharacteristic, complemented
41#17989307C2211yescharacteristic
42#17989301C2211yescharacteristic
43#17989301C2211yescharacteristic, complemented
44#17989286—21no—
45#17989268—21no—
46#17989268—21no—
47#17989267—21no—
48#17989255C2211yescharacteristic, complemented
49D4×Dic146C2211yescharacteristic, complemented
50#17989248C2211yescharacteristic, complemented
51#17989243—21no—
52#17989236C2211yescharacteristic, complemented
53#17989233C2211yescharacteristic
54#17989231—21no—
55#17989231C2211yescharacteristic
56#17989231C2211yescharacteristic, complemented
57#17989228C2211yescharacteristic, complemented
58#17989204C2211yescharacteristic
59#17989204C2211yescharacteristic, complemented
60#17989197C2211yescharacteristic, complemented
61#17989190C2211yescharacteristic, complemented
62#17989188—21no—
63#17989186—21no—
64#17989172—21no—
65#17989172—21no—
66#17989171—21no—
67#17989169—21no—
68#17989161C2211yescharacteristic, complemented
69#17989151C2211yescharacteristic, complemented
70#17989136C2211yescharacteristic, complemented
71#17989135C2211yescharacteristic, complemented
72#17989124C2211yescharacteristic, complemented
73#17989119C2211yescharacteristic
74#17989118—21no—
75C2×#14556578—21no—
76#17989062C2211yescharacteristic
77#17989062C2211yescharacteristic, complemented
78C4×#11924027C2211yescharacteristic, complemented
79#17988978C2211yescharacteristic, complemented
80#17988975C2211yescharacteristic, complemented
81#17988974C2211yescharacteristic
82#17988968C2211yescharacteristic, complemented
83#17988968C2211yescharacteristic, complemented
84#17988948C2211yescharacteristic, complemented
85#17988948C2211yescharacteristic, complemented
86#17988947C2211yescharacteristic, complemented
87#17988946C2211yescharacteristic, complemented
88#17988936C2211yescharacteristic, complemented
89#17988932C2211yescharacteristic, complemented
90#17988929C2211yescharacteristic, complemented
91#17988927C2211yescharacteristic, complemented
92#17988925C2211yescharacteristic, complemented
93#17988914C2211yescharacteristic, complemented
94#17988912C2211yescharacteristic, complemented
95#17988908C2211yescharacteristic, complemented
96#17988893C2211yescharacteristic, complemented
97#17988889C2211yescharacteristic, complemented
98#17988889C2211yescharacteristic, complemented
99#17988885C2211yescharacteristic, complemented
100#17988882C2211yescharacteristic, complemented
101#17988881C2211yescharacteristic, complemented
102#17988878C2211yescharacteristic, complemented
103#17988875C2211yescharacteristic, complemented
104#17988870C2211yescharacteristic, complemented
105#17988866C2211yescharacteristic, complemented
106#17988845C2211yescharacteristic, complemented
107#17988838C2211yescharacteristic
108#17988831C2211yescharacteristic, complemented
109#17988826C2211yescharacteristic, complemented
110#17988822C2211yescharacteristic, complemented
111#17988822C2211yescharacteristic, complemented
112#17988816C2211yescharacteristic, complemented
113#17988814C2211yescharacteristic
114#17988813C2211yescharacteristic, complemented
115#17988813C2211yescharacteristic, complemented
116#17988812C2211yescharacteristic, complemented
117#17988810C2211yescharacteristic, complemented
118#17988808C2211yescharacteristic, complemented
119#17988807C2211yescharacteristic, complemented
120#17988806C2211yescharacteristic, complemented
121#17988804C2211yescharacteristic
122#17988804C2211yescharacteristic
123#17988804C2211yescharacteristic
124#17988804C2211yescharacteristic, complemented
125#17988804C2211yescharacteristic, complemented
126#17988804C2211yescharacteristic, complemented
127#17988804C2211yescharacteristic, complemented
128#17988802C2211yescharacteristic
129#17988801C2211yescharacteristic, complemented
130#17988800C2211yescharacteristic, complemented
131#17988796C2211yescharacteristic, complemented
132#17988790C2211yescharacteristic, complemented
133#17988790C2211yescharacteristic, complemented
134#17988790C2211yescharacteristic, complemented
135#17988790C2211yescharacteristic, complemented
136#17988790C2211yescharacteristic, complemented
137#17988786C2211yescharacteristic, complemented
138#17988780C2211yescharacteristic
139#17988780C2211yescharacteristic
140#17988780C2211yescharacteristic, complemented
141#17988780C2211yescharacteristic, complemented
142#17988780C2211yescharacteristic, complemented
143#17988779C2211yescharacteristic
144#17988751C2211yescharacteristic, complemented
145#17988749C2211yescharacteristic, complemented
146#17988746C2211yescharacteristic, complemented
147#17988743C2211yescharacteristic, complemented
148#17988740C2211yescharacteristic, complemented
149#17988738C2211yescharacteristic
150#17988733C2211yescharacteristic
151#17988731C2211yescharacteristic, complemented
152#17988731C2211yescharacteristic, complemented
153#17988730C2211yescharacteristic
154#17988729C2211yescharacteristic, complemented
155#17988729C2211yescharacteristic, complemented
156#17988721C2211yescharacteristic
157#17988720C2211yescharacteristic
158#17988716C2211yescharacteristic, complemented
159#17988715C2211yescharacteristic, complemented
160#17988699C2211yescharacteristic, complemented
161#17988697C2211yescharacteristic
162#17988696C2211yescharacteristic, complemented
163#17988692C2211yescharacteristic, complemented
164#17988689C2211yescharacteristic, complemented
165#17988688C2211yescharacteristic, complemented
166#17988684C2211yescharacteristic, complemented
167#17988678C2211yescharacteristic, complemented
168SD16×Dic73C2211yescharacteristic, complemented
169D8×Dic73C2211yescharacteristic, complemented
170#17988667C2211yescharacteristic
171#17988661C2211yescharacteristic, complemented
172#17988659C2211yescharacteristic
173#17988656C2211yescharacteristic, complemented
174C8×C22⋊D73C2211yescharacteristic, complemented
175#17988650C2211yescharacteristic, complemented
176#17988645C2211yescharacteristic, complemented
177#17988645C2211yescharacteristic, complemented
178#17988642C2211yescharacteristic, complemented
179#17988615C2211yescharacteristic, complemented
180#17988613C2211yescharacteristic, complemented
181C4⋊C8×D73C2211yescharacteristic, complemented
182#17988596C2211yescharacteristic, complemented
183#17988593C2211yescharacteristic, complemented
184#17988584C2211yescharacteristic, complemented
185#17988583C2211yescharacteristic, complemented
186#17988582C2211yescharacteristic, complemented
187#17988580C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C73C2211yescharacteristic
189C22×SD16×C73C2211yescharacteristic, complemented
190#548×C73C2211yescharacteristic
191D42×C73C2211yescharacteristic
192#496×C73C2211yescharacteristic, complemented
193#468×C73C2211yescharacteristic
194#466×C73C2211yescharacteristic, complemented
195#463×C73C2211yescharacteristic, complemented
196#460×C73C2211yescharacteristic, complemented
197#450×C73C2211yescharacteristic
198#449×C73C2211yescharacteristic
199#448×C73C2211yescharacteristic, complemented
200#447×C73C2211yescharacteristic, complemented
201#440×C73C2211yescharacteristic, complemented
202#435×C73C2211yescharacteristic
203C2×#11924029C2311yescharacteristic
204C2×#11924028C2311yescharacteristic
205C2×#11924027—21no—
206C2×#11924027C2311yescharacteristic
207C2×#11924027C2311yescharacteristic
208C22×Dic146—21no—
209C22×D292C2311yescharacteristic
210#14556617—42no—
211#14556612—42no—
212#14556610—42no—
213C2×Dic292C2311yescharacteristic
214C2×#11924018C2311yescharacteristic
215C2×#11924018C2311yescharacteristic
216C2×#11924017C2311yescharacteristic
217C2×#11924017C2311yescharacteristic
218C2×#11924016C2311yescharacteristic
219C2×#11924016C2311yescharacteristic
220C2×#11924016C2311yescharacteristic
221C2×#11924016C2311yescharacteristic
222C2×#11924013—42no—
223C2×#11924013C2311yescharacteristic
224C2×#11924013C2311yescharacteristic
225C2×#11924013C2311yescharacteristic
226C2×#11924013C2311yescharacteristic
227C2×#11924013C2311yescharacteristic
228C2×#11924013C2311yescharacteristic
229C2×#11924012C2311yescharacteristic
230C22×#10596831C2311yescharacteristic
231C2×C8×D73C2311yescharacteristic
232C2×C8×D73C2311yescharacteristic
233#14556591C2311yescharacteristic
234#14556590C2311yescharacteristic
235#14556590C2311yescharacteristic
236#14556589C2311yescharacteristic
237#14556589C2311yescharacteristic
238#14556587—21no—
239#14556587C2311yescharacteristic
240#14556587C2311yescharacteristic
241#14556586—21no—
242#14556586—21no—
243#14556585—21no—
244#14556584—21no—
245#14556584—21no—
246#14556584—21no—
247#14556584—21no—
248#14556584—21no—
249#14556584—21no—
250#14556584D411yescharacteristic
251#14556584D411yescharacteristic
252#14556582—21no—
253#14556582D411yescharacteristic
254#14556582C2311yescharacteristic
255#14556581—21no—
256#14556580—21no—
257#14556580C2311yescharacteristic
258#14556580C2311yescharacteristic
259#14556580C2311yescharacteristic
260#14556579C2311yescharacteristic
261#14556578—21no—
262#14556578—21no—
263#14556578—21no—
264#14556578—21no—
265#14556578—21no—
266#14556578—21no—
267#14556578—21no—
268#14556578D411yescharacteristic
269#14556578C2311yescharacteristic
270#14556578C2311yescharacteristic
271#14556577—21no—
272#14556577—21no—
273#14556577—21no—
274#14556576—21no—
275#14556576—21no—
276#14556576—21no—
277#14556575—21no—
278#14556575—21no—
279#14556574—21no—
280#14556574—21no—
281#14556574—21no—
282#14556573—21no—
283#14556573—21no—
284#14556573D411yescharacteristic
285#14556573D411yescharacteristic
286#14556572—21no—
287#14556572—21no—
288#14556572—21no—
289#14556572—21no—
290#14556572—21no—
291#14556572—21no—
292#14556572—21no—
293#14556571D411yescharacteristic
294#14556570—21no—
295#14556570C2311yescharacteristic
296#14556570C2311yescharacteristic
297#14556570C2311yescharacteristic
298#14556569—21no—
299#14556568—21no—
300#14556568—21no—
301#14556568—21no—
302#14556568—21no—
303#14556567—21no—
304#14556567—21no—
305#14556567—21no—
306#14556567C2311yescharacteristic
307#14556566—21no—
308#14556566C2311yescharacteristic
309#14556565—21no—
310#14556565—21no—
311#14556565—21no—
312#14556565C2311yescharacteristic
313#14556564—21no—
314#14556564—21no—
315#14556564—21no—
316#14556564—21no—
317#14556563—21no—
318#14556563—21no—
319#14556563—21no—
320#14556563—21no—
321#14556563—21no—
322#14556563—21no—
323#14556563—21no—
324#14556562—21no—
325#14556562—21no—
326#14556562D411yescharacteristic
327#14556562C2311yescharacteristic
328#14556562C2311yescharacteristic
329#14556561—21no—
330#14556560—21no—
331#14556560—21no—
332#14556559—21no—
333#14556559—21no—
334#14556559—21no—
335Q8×Dic73C2311yescharacteristic
336C4×Dic146C2311yescharacteristic
337C4×Dic146C2311yescharacteristic
338#14556556—21no—
339#14556556C2311yescharacteristic
340#14556556C2311yescharacteristic
341C4×D292—21no—
342C4×D292C2311yescharacteristic
343D4×Dic73—21no—
344D4×Dic73—21no—
345D4×Dic73—21no—
346D4×Dic73—21no—
347D4×Dic73—21no—
348D4×Dic73—21no—
349D4×Dic73C2311yescharacteristic
350D4×Dic73C2311yescharacteristic
351D4×Dic73C2311yescharacteristic
352D4×Dic73C2311yescharacteristic
353D4×Dic73C2311yescharacteristic
354D4×Dic73C2311yescharacteristic
355D4×Dic73C2311yescharacteristic
356D4×Dic73C2311yescharacteristic
357#14556553C2311yescharacteristic
358C4×C22⋊D73—21no—
359C4×C22⋊D73—21no—
360C4×C22⋊D73C2311yescharacteristic
361C4×C22⋊D73C2311yescharacteristic
362#14556551—21no—
363#14556551—21no—
364#14556551—21no—
365#14556551—21no—
366#14556551—21no—
367#14556550C2311yescharacteristic
368#14556550C2311yescharacteristic
369#14556550C2311yescharacteristic
370#14556550C2311yescharacteristic
371#14556549C2311yescharacteristic
372#14556548—21no—
373#14556548—21no—
374#14556547—21no—
375#14556547—21no—
376#14556547—21no—
377C2×#11924007—21no—
378C2×C22⋊Dic73—21no—
379C2×C22⋊Dic73—21no—
380C2×C22⋊Dic73—21no—
381C2×C22⋊Dic73—21no—
382C2×C22⋊Dic73—21no—
383C2×C22⋊Dic73—21no—
384C22⋊C4×D73—21no—
385C22⋊C4×D73—21no—
386C2×C4×Dic73—21no—
387C42×D73C2311yescharacteristic
388#14556525C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556523C2311yescharacteristic
392#14556523C2311yescharacteristic
393#14556522C2311yescharacteristic
394#14556522C2311yescharacteristic
395C4⋊#10596831C2311yescharacteristic
396#14556520C2311yescharacteristic
397#14556520C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556516C2311yescharacteristic
408#14556515C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556515C2311yescharacteristic
411#14556515C2311yescharacteristic
412#14556515C2311yescharacteristic
413#14556515C2311yescharacteristic
414#14556514C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556513C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556512C2311yescharacteristic
427#14556512C2311yescharacteristic
428#14556511C2311yescharacteristic
429#14556511C2311yescharacteristic
430C22⋊#10596831C2311yescharacteristic
431C22⋊#10596831C2311yescharacteristic
432#14556503C2311yescharacteristic
433#14556503C2311yescharacteristic
434#14556502C2311yescharacteristic
435#14556501C2311yescharacteristic
436#14556501C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C8×Dic73C2311yescharacteristic
439C2×#41×C73C2311yescharacteristic
440C22×Q8×C73C2311yescharacteristic
441C22×D4×C73—21no—
442C22×D4×C73C2311yescharacteristic
443C22×D4×C73C2311yescharacteristic
444AGL(1,ℤ/8)×C73—42no—
445C2×SD16×C73—42no—
446C2×SD16×C73C2311yescharacteristic
447C2×SD16×C73C2311yescharacteristic
448C2×SD16×C73C2311yescharacteristic
449C2×SD16×C73C2311yescharacteristic
450C2×SD16×C73C2311yescharacteristic
451C2×SD16×C73C2311yescharacteristic
452C2×D8×C73C2311yescharacteristic
453C2×D8×C73C2311yescharacteristic
454C2×D8×C73C2311yescharacteristic
455C2×M16×C73C2311yescharacteristic
456C22×C8×C73C2311yescharacteristic
457#127×C73C2311yescharacteristic
458#124×C73—21no—
459#124×C73C2311yescharacteristic
460C22⋊Q8×C73—21no—
461C22⋊Q8×C73C2311yescharacteristic
462#121×C73—21no—
463#121×C73—21no—
464#121×C73C2311yescharacteristic
465#121×C73C2311yescharacteristic
466#121×C73C2311yescharacteristic
467#120×C73—21no—
468#120×C73—21no—
469C4×Q8×C73C2311yescharacteristic
470C4×D4×C73—21no—
471C4×D4×C73C2311yescharacteristic
472C4×D4×C73C2311yescharacteristic
473#107×C73C2311yescharacteristic
474C4⋊C8×C73C2311yescharacteristic
475#103×C73C2311yescharacteristic
476#103×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481C22⋊C8×C73C2311yescharacteristic
482C22⋊C8×C73C2311yescharacteristic
483#97×C73C2311yescharacteristic
484C23×D73—21no—
485#11924029—41no—
486#11924029—41no—
487#11924028—41no—
488#11924028—41no—
489#11924027—22no—
490#11924027—41no—
491#11924027—41no—
492#11924027—41no—
493#11924027—82no—
494C2×Dic146—21no—
495C2×Dic146—21no—
496C2×Dic146—21no—
497C2×Dic146—82no—
498C2×Dic146C2×D411yescharacteristic
499C2×Dic146C2411yescharacteristic
500C2×Dic146C2411yescharacteristic
501C2×D292—21no—
502C2×D292—21no—
503C2×D292—21no—
504C2×D292—41no—
505C2×D292—41no—
506C2×D292C2411yescharacteristic
507C2×D292C2411yescharacteristic
508C2×C22⋊D73—21no—
509C2×C22⋊D73—21no—
510C2×C22⋊D73—21no—
511C2×C22⋊D73—21no—
512C2×C22⋊D73—21no—
513C2×C22⋊D73—21no—
514C2×C22⋊D73—21no—
515C2×C22⋊D73—21no—
516C2×C22⋊D73—21no—
517C2×C22⋊D73—21no—
518C2×C22⋊D73C2×D411yescharacteristic
519C2×C22⋊D73C2×D411yescharacteristic
520C22×Dic73—21no—
521C22×Dic73—21no—
522C22×Dic73—21no—
523C22×Dic73—21no—
524C22×Dic73—21no—
525C22×Dic73—21no—
526C22×Dic73—21no—
527C22×Dic73—21no—
528C22×Dic73—21no—
529C22×Dic73—21no—
530C2×C4×D73—21no—
531C2×C4×D73—21no—
532C2×C4×D73—21no—
533C2×C4×D73—21no—
534C2×C4×D73C2×D411yescharacteristic
535C2×C4×D73C2×D411yescharacteristic
536C2×C4×D73C2411yescharacteristic
537Dic292—41no—
538#11924018—41no—
539#11924018—41no—
540#11924017—41no—
541#11924017—41no—
542#11924016—22no—
543#11924016—41no—
544#11924016—41no—
545#11924016—41no—
546#11924013—22no—
547#11924013—22no—
548#11924013—41no—
549#11924013—41no—
550#11924013—41no—
551#11924013—41no—
552#11924012—41no—
553C2×#10596831—41no—
554C2×#10596831C2411yescharacteristic
555C2×#10596831C2411yescharacteristic
556C2×#10596831C2411yescharacteristic
557C2×#10596831C2411yescharacteristic
558C8×D73—41no—
559C8×D73—41no—
560C4⋊Dic73—21no—
561C4⋊Dic73—21no—
562C4⋊Dic73—21no—
563C4⋊Dic73C2×D411yescharacteristic
564C4⋊Dic73C2×D411yescharacteristic
565C4⋊Dic73C2×D411yescharacteristic
566C4⋊Dic73C2×D411yescharacteristic
567C4⋊Dic73C2×D411yescharacteristic
568C4⋊Dic73C2411yescharacteristic
569C4⋊Dic73C2411yescharacteristic
570C4⋊Dic73C2411yescharacteristic
571C4⋊Dic73C2411yescharacteristic
572#11924007—21no—
573#11924007—21no—
574#11924007—21no—
575#11924007—21no—
576#11924007—21no—
577#11924007—21no—
578#11924007—21no—
579#11924007—21no—
580#11924007—21no—
581#11924007—21no—
582#11924007—21no—
583#11924007—21no—
584#11924007—21no—
585#11924007—21no—
586#11924007C2×D411yescharacteristic
587#11924007C2×D411yescharacteristic
588#11924007C2×D411yescharacteristic
589#11924007C2×D411yescharacteristic
590C22⋊Dic73—21no—
591C22⋊Dic73—21no—
592C22⋊Dic73—21no—
593C22⋊Dic73—21no—
594C22⋊Dic73—21no—
595C22⋊Dic73—21no—
596C22⋊Dic73—21no—
597C22⋊Dic73—21no—
598C22⋊Dic73—21no—
599C22⋊Dic73—21no—
600C22⋊Dic73—21no—
601C22⋊Dic73—21no—
602C22⋊Dic73—21no—
603C22⋊Dic73—21no—
604C22⋊Dic73—21no—
605C22⋊Dic73—21no—
606C22⋊Dic73—21no—
607C22⋊Dic73—21no—
608C22⋊Dic73—21no—
609C22⋊Dic73C2×D411yescharacteristic
610C22⋊Dic73C2×D411yescharacteristic
611C22⋊Dic73C2×D411yescharacteristic
612C22⋊Dic73C2×D411yescharacteristic
613C22⋊Dic73C2×D411yescharacteristic
614C22⋊Dic73C2×D411yescharacteristic
615#11924005—21no—
616#11924005—21no—
617#11924005—21no—
618#11924005—21no—
619#11924005—21no—
620#11924005—21no—
621#11924005—21no—
622#11924005—21no—
623#11924005—21no—
624#11924005—21no—
625#11924005—21no—
626#11924005—21no—
627#11924005—21no—
628#11924005—21no—
629#11924005C2×D411yescharacteristic
630#11924005C2×D411yescharacteristic
631C4×Dic73—21no—
632C4×Dic73—21no—
633C4×Dic73—21no—
634C4×Dic73—21no—
635C4×Dic73—21no—
636C4×Dic73—21no—
637C4×Dic73—21no—
638C4×Dic73C2×D411yescharacteristic
639C4×Dic73C2×D411yescharacteristic
640C4×Dic73C2411yescharacteristic
641C4×Dic73C2411yescharacteristic
642C4×Dic73C2411yescharacteristic
643C24×C73—21no—
644C24×C73—21no—
645#41×C73—41no—
646#41×C73—41no—
647C2×Q8×C73—21no—
648C2×Q8×C73—41no—
649C2×Q8×C73—41no—
650C2×Q8×C73C2411yescharacteristic
651C2×Q8×C73C2411yescharacteristic
652C2×D4×C73—22no—
653C2×D4×C73—22no—
654C2×D4×C73—21no—
655C2×D4×C73—21no—
656C2×D4×C73—21no—
657C2×D4×C73—21no—
658C2×D4×C73—21no—
659C2×D4×C73—21no—
660C2×D4×C73—21no—
661C2×D4×C73—21no—
662C2×D4×C73—41no—
663C2×D4×C73—41no—
664C2×D4×C73—82no—
665C2×D4×C73C2×D411yescharacteristic
666C2×D4×C73C2411yescharacteristic
667C2×D4×C73C2411yescharacteristic
668C2×D4×C73C2411yescharacteristic
669C2×D4×C73C2411yescharacteristic
670C22×C4×C73—21no—
671C22×C4×C73—21no—
672C22×C4×C73—21no—
673C22×C4×C73C2411yescharacteristic
674C22×C4×C73C2411yescharacteristic
675SD16×C73—22no—
676SD16×C73—22no—
677SD16×C73—41no—
678SD16×C73—41no—
679SD16×C73—41no—
680SD16×C73—41no—
681D8×C73—22no—
682D8×C73—41no—
683D8×C73—41no—
684M16×C73—41no—
685C2×C8×C73—41no—
686C2×C8×C73C2411yescharacteristic
687C2×C8×C73C2411yescharacteristic
688C2×C8×C73C2411yescharacteristic
689C2×C8×C73C2411yescharacteristic
690C4⋊C4×C73—21no—
691C4⋊C4×C73—21no—
692C4⋊C4×C73C2×D411yescharacteristic
693C4⋊C4×C73C2411yescharacteristic
694C4⋊C4×C73C2411yescharacteristic
695C22⋊C4×C73—21no—
696C22⋊C4×C73—21no—
697C22⋊C4×C73—21no—
698C22⋊C4×C73—21no—
699C22⋊C4×C73—21no—
700C22⋊C4×C73—21no—
701C22⋊C4×C73—21no—
702C22⋊C4×C73C2×D411yescharacteristic
703C22⋊C4×C73C2×D411yescharacteristic
704C42×C73—21no—
705C42×C73C2411yescharacteristic
706C23×C73—21no—
707C23×C73—21no—
708C23×C73—21no—
709C23×C73—21no—
710C23×C73—42no—
711C23×C73—42no—
712C23×C73—81no—
713C23×C73—81no—
714C23×C73—81no—
715C23×C73—81no—
716C23×C73C22×D411yescharacteristic
717C23×C73C22×D411yescharacteristic
718C22×D73—21no—
719C22×D73—21no—
720C22×D73—81no—
721C22×D73—81no—
722C22×D73—81no—
723C22×D73C22×D411yescharacteristic
724Q8×C73—21no—
725Q8×C73—21no—
726Q8×C73—21no—
727Q8×C73—21no—
728Q8×C73—81no—
729D4×C73—21no—
730D4×C73—21no—
731D4×C73—21no—
732D4×C73—21no—
733D4×C73—21no—
734D4×C73—21no—
735D4×C73—21no—
736D4×C73—41no—
737D4×C73—42no—
738D4×C73—42no—
739D4×C73—42no—
740D4×C73—81no—
741D4×C73—81no—
742D4×C73—81no—
743D4×C73—81no—
744D4×C73—81no—
745D4×C73H(5,𝔽2)12yes—
746C2×C4×C73—21no—
747C2×C4×C73—21no—
748C2×C4×C73—21no—
749C2×C4×C73—21no—
750C2×C4×C73—21no—
751C2×C4×C73—21no—
752C2×C4×C73—21no—
753C2×C4×C73—21no—
754C2×C4×C73—42no—
755C2×C4×C73—81no—
756C2×C4×C73—81no—
757C2×C4×C73C22×D411yescharacteristic
758C2×C4×C73C22×D411yescharacteristic
759C2×C4×C73C22×D411yescharacteristic
760C2×C4×C73C22×D411yescharacteristic
761C2×C4×C73C2511yescharacteristic
762C22⋊D73—41no—
763C22⋊D73—41no—
764C22⋊D73—42no—
765C22⋊D73—81no—
766C22⋊D73—81no—
767C22⋊D73—81no—
768C22⋊D73—81no—
769C22⋊D73—81no—
770C22⋊D73—81no—
771C22⋊D73—81no—
772C22⋊D73—81no—
773C22⋊D73—81no—
774C2×Dic73—21no—
775C2×Dic73—21no—
776C2×Dic73—21no—
777C2×Dic73—21no—
778C2×Dic73—21no—
779C2×Dic73—21no—
780C2×Dic73—42no—
781C2×Dic73—81no—
782C2×Dic73—81no—
783C2×Dic73—81no—
784C2×Dic73—81no—
785C2×Dic73—81no—
786C2×Dic73—81no—
787C2×Dic73—81no—
788C2×Dic73—81no—
789C2×Dic73—81no—
790C2×Dic73C22×D411yescharacteristic
791C2×Dic73C22×D411yescharacteristic
792C2×Dic73C22×D411yescharacteristic
793C2×Dic73C22×D411yescharacteristic
794C2×Dic73C22×D411yescharacteristic
795C2×Dic73C22×D411yescharacteristic
796C2×Dic73C22×D411yescharacteristic
797D292—21no—
798D292—21no—
799D292—21no—
800D292—21no—
801D292—81no—
802D292—81no—
803D292—81no—
804C4×D73—21no—
805C4×D73—21no—
806C4×D73—41no—
807C4×D73—41no—
808C4×D73—81no—
809C4×D73—81no—
810C4×D73—81no—
811C4×D73—81no—
812Dic146—21no—
813Dic146—21no—
814Dic146—21no—
815Dic146—21no—
816Dic146—41no—
817Dic146—42no—
818Dic146—81no—
819Dic146—81no—
820C8×C73—21no—
821C8×C73—21no—
822C8×C73—21no—
823C8×C73—21no—
824#10596831—21no—
825#10596831—21no—
826#10596831—21no—
827#10596831—21no—
828C22×C73—21no—
829C22×C73—21no—
830C22×C73—21no—
831C22×C73—21no—
832C22×C73—22no—
833C22×C73—21no—
834C22×C73—21no—
835C22×C73—41no—
836C22×C73—41no—
837C22×C73—41no—
838C22×C73—41no—
839C22×C73—41no—
840C22×C73—41no—
841C22×C73—41no—
842C22×C73—41no—
843C22×C73—41no—
844C22×C73—41no—
845C22×C73—41no—
846C22×C73—162no—
847C22×C73—162no—
848C22×C73C23×D411yescharacteristic
849C2×D73—21no—
850C2×D73—21no—
851C2×D73—21no—
852C2×D73—41no—
853C2×D73—41no—
854C2×D73—41no—
855C2×D73—41no—
856C2×D73—41no—
857C2×D73—41no—
858C2×D73—162no—
859C4×C73—21no—
860C4×C73—21no—
861C4×C73—21no—
862C4×C73—21no—
863C4×C73—41no—
864C4×C73—41no—
865C4×C73—41no—
866C4×C73—41no—
867C4×C73C2×H(5,𝔽2)11yescharacteristic
868C4×C73#58511yescharacteristic
869Dic73—21no—
870Dic73—21no—
871Dic73—21no—
872Dic73—21no—
873Dic73—21no—
874Dic73—21no—
875Dic73—21no—
876Dic73—41no—
877Dic73—41no—
878Dic73—41no—
879Dic73—41no—
880Dic73—41no—
881Dic73—41no—
882#62011—731nomaximal, Sylow
883C2×C73—41no—
884C2×C73—41no—
885C2×C73—42no—
886C2×C73—81no—
887C2×C73—81no—
888C2×C73—81no—
889C2×C73#348811yescharacteristic
890C2×C73#358411yescharacteristic
891C2×C73#358511yescharacteristic
892D73—41no—
893D73—81no—
894D73—81no—
895#3562—731no—
896#3514—731no—
897#3403—731no—
898#3401—731no—
899#3373—731no—
900#3367—731no—
901#3321—731no—
902#3319—731no—
903#3313—731no—
904#3311—731no—
905#3305—731no—
906#3303—731no—
907#3282—731no—
908#3280—731no—
909#3268—731no—
910#3267—731no—
911#3265D7311yescharacteristic, complemented
912#3264—731no—
913#3258—731no—
914#3257—731no—
915#3247—731no—
916#3225—731no—
917#3224—731no—
918#3214—731no—
919#3123—731no—
920#3122—731no—
921#3111—731no—
922#3042—731no—
923#3041—731no—
924#3035—731no—
925#2992—731no—
926C73#6201111yescharacteristic, complemented, Sylow
927C2×AGL(1,ℤ/8)—731no—
928C2×AGL(1,ℤ/8)C2×D7311yescharacteristic
929C2×#135—731no—
930C2×#135—731no—
931C22×SD16C2×D7311yescharacteristic, complemented
932C22×D8—731no—
933#562—1461no—
934#560—1461no—
935#559—731no—
936#559—731no—
937#556—731no—
938#556—731no—
939#555—731no—
940#555—731no—
941#553—1461no—
942#551—1461no—
943#551—1461no—
944#551—1461no—
945#550—731no—
946D4×Q8—731no—
947#548—731no—
948#548—1461no—
949#548C2×D7311yescharacteristic
950#547—731no—
951#546—731no—
952#546—731no—
953#546—731no—
954#546—731no—
955#546—1461no—
956D42C2×D7311yescharacteristic
957#542—731no—
958#542—731no—
959#541—731no—
960#540—731no—
961#540—1461no—
962#539—1461no—
963#538—1461no—
964#538—1461no—
965#538—1461no—
966#538—1461no—
967#536—731no—
968#535—731no—
969#532—731no—
970#532—731no—
971#529—731no—
972#529—731no—
973#529—1461no—
974C2×#124—1461no—
975#518—731no—
976#518—731no—
977C4×#41—731no—
978#497—731no—
979#496—731no—
980#496—731no—
981#496C2×D7311yescharacteristic, complemented
982#495—731no—
983#495—731no—
984#489—731no—
985#489—731no—
986#489—731no—
987#489—731no—
988#487—731no—
989#486—731no—
990#485—731no—
991#485—731no—
992#485—731no—
993#482—731no—
994#482—731no—
995#482—731no—
996#479—731no—
997#478—731no—
998#478—731no—
999#478—731no—
1000#477—731no—
1001#477—731no—
1002#476—731no—
1003#476—731no—
1004#475—731no—
1005#474—731no—
1006#470—731no—
1007#469—731no—
1008#468—731no—
1009#468C2×D7311yescharacteristic
1010#467—731no—
1011#466—731no—
1012#466—731no—
1013#466C2×D7311yescharacteristic, complemented
1014#465—731no—
1015#465—731no—
1016#465—731no—
1017#465—731no—
1018#464—731no—
1019#464—731no—
1020#464—731no—
1021#464—731no—
1022#464—731no—
1023#463—731no—
1024#463—731no—
1025#463—731no—
1026#463—731no—
1027#463—731no—
1028#463—731no—
1029#463—731no—
1030#463—731no—
1031#463—731no—
1032#463—731no—
1033#463C2×D7311yescharacteristic, complemented
1034#462—731no—
1035#461—731no—
1036#461—731no—
1037#461—731no—
1038#461—731no—
1039#461—731no—
1040#460—731no—
1041#460C2×D7311yescharacteristic, complemented
1042#459—731no—
1043#459—731no—
1044#459—731no—
1045#459—731no—
1046#459—731no—
1047#459—731no—
1048#452—731no—
1049#452—731no—
1050#452—731no—
1051#451—731no—
1052#450—731no—
1053#450—731no—
1054#450C2×D7311yescharacteristic
1055#449—731no—
1056#449—731no—
1057#449—731no—
1058#449—731no—
1059#449—731no—
1060#449—731no—
1061#449C2×D7311yescharacteristic
1062#448C2×D7311yescharacteristic, complemented
1063#447—731no—
1064#447—731no—
1065#447C2×D7311yescharacteristic, complemented
1066#446—731no—
1067#446—731no—
1068#442—731no—
1069#442—731no—
1070#442—731no—
1071#441—731no—
1072#440—731no—
1073#440—731no—
1074#440—731no—
1075#440C2×D7311yescharacteristic, complemented
1076C4×SD16—731no—
1077C4×SD16—731no—
1078C4×D8—731no—
1079C4×D8—731no—
1080#435—731no—
1081#435—731no—
1082#435—731no—
1083#435C2×D7311yescharacteristic
1084C8×D4—731no—
1085C8×D4—731no—
1086#433—731no—
1087#433—731no—
1088#432—731no—
1089#424—731no—
1090#424—731no—
1091C2×C4⋊C8—731no—
1092#419—731no—
1093#418—731no—
1094#416—731no—
1095#416—731no—
1096#416—731no—
1097#416—731no—
1098C2×#41—731no—
1099C2×#41—731no—
1100C2×#41—731no—
1101C2×#41—731no—
1102C2×#41—1461no—
1103C2×#41C22×D7311yescharacteristic
1104C22×Q8—1461no—
1105C22×Q8C22×D7311yescharacteristic
1106C22×D4—21no—
1107C22×D4—731no—
1108C22×D4C22×D7311yescharacteristic
1109C22×D4C22×D7311yescharacteristic
1110AGL(1,ℤ/8)—42no—
1111AGL(1,ℤ/8)—2922no—
1112#135—2922no—
1113#135—2922no—
1114C2×Q16—731no—
1115C2×Q16—731no—
1116C2×Q16—731no—
1117C2×SD16—42no—
1118C2×SD16—731no—
1119C2×SD16—731no—
1120C2×SD16—731no—
1121C2×SD16—731no—
1122C2×SD16—731no—
1123C2×SD16—731no—
1124C2×SD16C22×D7311yescharacteristic
1125C2×SD16C22×D7311yescharacteristic
1126C2×SD16C22×D7311yescharacteristic
1127C2×SD16C22×D7311yescharacteristic
1128C2×SD16C22×D7311yescharacteristic
1129C2×SD16C22×D7311yescharacteristic
1130C2×D8—2922no—
1131C2×D8—731no—
1132C2×D8—731no—
1133C2×D8—731no—
1134C2×D8—731no—
1135C2×D8—731no—
1136C2×D8—731no—
1137C2×D8C22×D7311yescharacteristic
1138C2×D8C22×D7311yescharacteristic
1139C2×D8C22×D7311yescharacteristic
1140C2×M16—731no—
1141C2×M16C22×D7311yescharacteristic
1142C22×C8—731no—
1143C22×C8—731no—
1144C22×C8—731no—
1145C22×C8C22×D7311yescharacteristic
1146C4⋊Q8—731no—
1147C4⋊Q8—731no—
1148C4⋊Q8—731no—
1149C4⋊Q8—731no—
1150C4⋊Q8—731no—
1151#127—731no—
1152#127—731no—
1153#127—1461no—
1154#127C22×D7311yescharacteristic
1155#126—731no—
1156#126—731no—
1157#126—1461no—
1158#126—1461no—
1159#126—1461no—
1160#126—1461no—
1161#126—1461no—
1162#126—1461no—
1163#126—1461no—
1164#126—1461no—
1165#126—1461no—
1166#125—731no—
1167#125—731no—
1168#125—1461no—
1169#125—1461no—
1170#124—21no—
1171#124—731no—
1172#124—731no—
1173#124—731no—
1174#124—731no—
1175#124—731no—
1176#124—731no—
1177#124—731no—
1178#124—1461no—
1179#124—1461no—
1180#124—1461no—
1181#124—1461no—
1182#124—1461no—
1183#124—1461no—
1184#124—1461no—
1185#124—1461no—
1186#124—1461no—
1187#124—1461no—
1188#124—1461no—
1189#124C22×D7311yescharacteristic
1190#123—731no—
1191#123—731no—
1192#123—1461no—
1193#123—1461no—
1194#123—1461no—
1195#123—1461no—
1196#123—1461no—
1197#123—1461no—
1198#123—1461no—
1199#123—1461no—
1200#123—1461no—
1201#123—1461no—
1202#123—1461no—
1203#123—1461no—
1204#123—1461no—
1205#123—1461no—
1206#123—1461no—
1207#123—1461no—
1208#123—1461no—
1209C22⋊Q8—21no—
1210C22⋊Q8—731no—
1211C22⋊Q8—731no—
1212C22⋊Q8—731no—
1213C22⋊Q8—731no—
1214C22⋊Q8—731no—
1215C22⋊Q8—1461no—
1216C22⋊Q8—1461no—
1217C22⋊Q8—1461no—
1218C22⋊Q8—1461no—
1219C22⋊Q8—1461no—
1220C22⋊Q8—1461no—
1221C22⋊Q8—1461no—
1222C22⋊Q8—1461no—
1223C22⋊Q8—1461no—
1224C22⋊Q8C22×D7311yescharacteristic
1225#121—21no—
1226#121—21no—
1227#121—731no—
1228#121—731no—
1229#121—731no—
1230#121—731no—
1231#121—731no—
1232#121—1461no—
1233#121—1461no—
1234#121—1461no—
1235#121—1461no—
1236#121—1461no—
1237#121—1461no—
1238#121—1461no—
1239#121—1461no—
1240#121—1461no—
1241#121—1461no—
1242#121—1461no—
1243#121—1461no—
1244#121—1461no—
1245#121—1461no—
1246#121—1461no—
1247#121—1461no—
1248#121—1461no—
1249#121C22×D7311yescharacteristic
1250#121C22×D7311yescharacteristic
1251#121C22×D7311yescharacteristic
1252#120—21no—
1253#120—21no—
1254#120—1461no—
1255#120—1461no—
1256#120—1461no—
1257#120—1461no—
1258#120—1461no—
1259#120—1461no—
1260C4×Q8—731no—
1261C4×Q8—731no—
1262C4×Q8—731no—
1263C4×Q8—731no—
1264C4×Q8—731no—
1265C4×Q8—1461no—
1266C4×Q8C22×D7311yescharacteristic
1267C4×D4—21no—
1268C4×D4—731no—
1269C4×D4—731no—
1270C4×D4—731no—
1271C4×D4—731no—
1272C4×D4—731no—
1273C4×D4—731no—
1274C4×D4—731no—
1275C4×D4—731no—
1276C4×D4—731no—
1277C4×D4—731no—
1278C4×D4—731no—
1279C4×D4—731no—
1280C4×D4—1461no—
1281C4×D4—1461no—
1282C4×D4—1461no—
1283C4×D4—1461no—
1284C4×D4—1461no—
1285C4×D4—1461no—
1286C4×D4—1461no—
1287C4×D4—1461no—
1288C4×D4—1461no—
1289C4×D4—1461no—
1290C4×D4—1461no—
1291C4×D4—1461no—
1292C4×D4—1461no—
1293C4×D4—1461no—
1294C4×D4C22×D7311yescharacteristic
1295C4×D4C22×D7311yescharacteristic
1296#117—731no—
1297#117—731no—
1298#117—731no—
1299#117—731no—
1300#117—731no—
1301#117—1461no—
1302#117—1461no—
1303#117—1461no—
1304#117—1461no—
1305#117—1461no—
1306C2×C4⋊C4—1461no—
1307C2×C22⋊C4—1461no—
1308C2×C22⋊C4—1461no—
1309C2×C22⋊C4—1461no—
1310C2×C22⋊C4—1461no—
1311C2×C22⋊C4—1461no—
1312C2×C22⋊C4—1461no—
1313C2×C22⋊C4—1461no—
1314C2×C22⋊C4—1461no—
1315C2×C42—731no—
1316C2×C42—1461no—
1317#107—731no—
1318#107—731no—
1319#107—731no—
1320#107C22×D7311yescharacteristic
1321#106—731no—
1322#106—731no—
1323#106—731no—
1324#106—731no—
1325C4⋊C8—731no—
1326C4⋊C8—731no—
1327C4⋊C8—731no—
1328C4⋊C8—731no—
1329C4⋊C8—731no—
1330C4⋊C8—731no—
1331C4⋊C8—731no—
1332C4⋊C8—731no—
1333C4⋊C8—731no—
1334C4⋊C8C22×D7311yescharacteristic
1335#103—731no—
1336#103—731no—
1337#103—731no—
1338#103—731no—
1339#103—731no—
1340#103—731no—
1341#103—731no—
1342#103—731no—
1343#103—731no—
1344#103—731no—
1345#103—731no—
1346#103—731no—
1347#103C22×D7311yescharacteristic
1348#103C22×D7311yescharacteristic
1349#102—731no—
1350#102—731no—
1351#102—731no—
1352#102—731no—
1353#102—731no—
1354#102—731no—
1355#102—731no—
1356#102—731no—
1357#102—731no—
1358#102—731no—
1359#102—731no—
1360#102—731no—
1361#102—731no—
1362#102—731no—
1363#102C22×D7311yescharacteristic
1364#102C22×D7311yescharacteristic
1365#102C22×D7311yescharacteristic
1366#102C22×D7311yescharacteristic
1367C22⋊C8—731no—
1368C22⋊C8—731no—
1369C22⋊C8—731no—
1370C22⋊C8—731no—
1371C22⋊C8C22×D7311yescharacteristic
1372C22⋊C8C22×D7311yescharacteristic
1373#97—731no—
1374#97—731no—
1375#97—731no—
1376#97C22×D7311yescharacteristic
1377C4×C8—731no—
1378C4×C8—731no—
1379C24—21no—
1380C24—21no—
1381C24—1461no—
1382#41—41no—
1383#41—41no—
1384#41—2921no—
1385#41—2921no—
1386#41—2921no—
1387#41—2921no—
1388#41—2921no—
1389#41—2921no—
1390#41—2921no—
1391#41—5842no—
1392#41—1462no—
1393C2×Q8—21no—
1394C2×Q8—41no—
1395C2×Q8—41no—
1396C2×Q8—5842no—
1397C2×Q8—731no—
1398C2×Q8—731no—
1399C2×Q8—731no—
1400C2×Q8—1461no—
1401C2×Q8—1461no—
1402C2×Q8—1461no—
1403C2×Q8C23×D7311yescharacteristic
1404C2×Q8C23×D7311yescharacteristic
1405C2×D4—22no—
1406C2×D4—22no—
1407C2×D4—21no—
1408C2×D4—21no—
1409C2×D4—21no—
1410C2×D4—21no—
1411C2×D4—21no—
1412C2×D4—21no—
1413C2×D4—21no—
1414C2×D4—21no—
1415C2×D4—41no—
1416C2×D4—41no—
1417C2×D4—82no—
1418C2×D4—2921no—
1419C2×D4—2921no—
1420C2×D4—731no—
1421C2×D4—731no—
1422C2×D4—731no—
1423C2×D4—731no—
1424C2×D4—1461no—
1425C2×D4—1461no—
1426C2×D4—1461no—
1427C2×D4—1461no—
1428C2×D4—1461no—
1429C2×D4—1461no—
1430C2×D4—1461no—
1431C2×D4—1461no—
1432C2×D4—1461no—
1433C2×D4—1461no—
1434C2×D4—1461no—
1435C2×D4—1461no—
1436C2×D4—1461no—
1437C2×D4D4×D7311yescharacteristic
1438C2×D4C23×D7311yescharacteristic
1439C2×D4C23×D7311yescharacteristic
1440C2×D4C23×D7311yescharacteristic
1441C2×D4C23×D7311yescharacteristic
1442C22×C4—21no—
1443C22×C4—21no—
1444C22×C4—21no—
1445C22×C4—731no—
1446C22×C4—731no—
1447C22×C4—731no—
1448C22×C4—1461no—
1449C22×C4—1461no—
1450C22×C4—1461no—
1451C22×C4—1461no—
1452C22×C4—1461no—
1453C22×C4—1461no—
1454C22×C4—1461no—
1455C22×C4—1461no—
1456C22×C4—1461no—
1457C22×C4—1461no—
1458C22×C4—1461no—
1459C22×C4—1461no—
1460C22×C4—1461no—
1461C22×C4—1461no—
1462C22×C4C23×D7311yescharacteristic
1463C22×C4C23×D7311yescharacteristic
1464Q16—2921no—
1465Q16—2921no—
1466Q16—2921no—
1467SD16—22no—
1468SD16—22no—
1469SD16—41no—
1470SD16—41no—
1471SD16—41no—
1472SD16—41no—
1473SD16—2921no—
1474SD16—2921no—
1475SD16—2921no—
1476SD16—2921no—
1477SD16—2921no—
1478SD16—1462no—
1479D8—22no—
1480D8—41no—
1481D8—41no—
1482D8—2921no—
1483D8—2921no—
1484D8—2921no—
1485D8—2921no—
1486D8—1462no—
1487D8—1462no—
1488M16—41no—
1489M16—2921no—
1490C2×C8—41no—
1491C2×C8—2921no—
1492C2×C8—2921no—
1493C2×C8—2921no—
1494C2×C8—731no—
1495C2×C8—731no—
1496C2×C8—731no—
1497C2×C8—731no—
1498C2×C8C23×D7311yescharacteristic
1499C2×C8C23×D7311yescharacteristic
1500C2×C8C23×D7311yescharacteristic
1501C2×C8C23×D7311yescharacteristic
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—731no—
1505C4⋊C4—731no—
1506C4⋊C4—731no—
1507C4⋊C4—731no—
1508C4⋊C4—731no—
1509C4⋊C4—731no—
1510C4⋊C4—731no—
1511C4⋊C4—731no—
1512C4⋊C4—731no—
1513C4⋊C4—731no—
1514C4⋊C4—731no—
1515C4⋊C4—731no—
1516C4⋊C4—731no—
1517C4⋊C4—1461no—
1518C4⋊C4—1461no—
1519C4⋊C4—1461no—
1520C4⋊C4—1461no—
1521C4⋊C4—1461no—
1522C4⋊C4—1461no—
1523C4⋊C4—1461no—
1524C4⋊C4—1461no—
1525C4⋊C4—1461no—
1526C4⋊C4—1461no—
1527C4⋊C4—1461no—
1528C4⋊C4—1461no—
1529C4⋊C4—1461no—
1530C4⋊C4—1461no—
1531C4⋊C4—1461no—
1532C4⋊C4—1461no—
1533C4⋊C4—1461no—
1534C4⋊C4D4×D7311yescharacteristic
1535C4⋊C4C23×D7311yescharacteristic
1536C4⋊C4C23×D7311yescharacteristic
1537C22⋊C4—21no—
1538C22⋊C4—21no—
1539C22⋊C4—21no—
1540C22⋊C4—21no—
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—731no—
1545C22⋊C4—731no—
1546C22⋊C4—731no—
1547C22⋊C4—731no—
1548C22⋊C4—731no—
1549C22⋊C4—731no—
1550C22⋊C4—731no—
1551C22⋊C4—731no—
1552C22⋊C4—1461no—
1553C22⋊C4—1461no—
1554C22⋊C4—1461no—
1555C22⋊C4—1461no—
1556C22⋊C4—1461no—
1557C22⋊C4—1461no—
1558C22⋊C4—1461no—
1559C22⋊C4—1461no—
1560C22⋊C4—1461no—
1561C22⋊C4—1461no—
1562C22⋊C4—1461no—
1563C22⋊C4—1461no—
1564C22⋊C4—1461no—
1565C22⋊C4—1461no—
1566C22⋊C4—1461no—
1567C22⋊C4—1461no—
1568C22⋊C4—1461no—
1569C22⋊C4—1461no—
1570C22⋊C4—1461no—
1571C22⋊C4—1461no—
1572C22⋊C4—1461no—
1573C22⋊C4—1461no—
1574C22⋊C4—1461no—
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⋊C4—1461no—
1585C22⋊C4D4×D7311yescharacteristic
1586C22⋊C4D4×D7311yescharacteristic
1587C42—21no—
1588C42—731no—
1589C42—731no—
1590C42—731no—
1591C42—731no—
1592C42—731no—
1593C42—1461no—
1594C42—1461no—
1595C42—1461no—
1596C42—1461no—
1597C42—1461no—
1598C42—1461no—
1599C42—1461no—
1600C42C23×D7311yescharacteristic
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—42no—
1606C23—42no—
1607C23—81no—
1608C23—81no—
1609C23—81no—
1610C23—81no—
1611C23—5841no—
1612C23—5841no—
1613C23—5841no—
1614C23—731no—
1615C23—1461no—
1616C23—1461no—
1617C23C2×D4×D7311yescharacteristic
1618C23C2×D4×D7311yescharacteristic
1619Q8—21no—
1620Q8—21no—
1621Q8—21no—
1622Q8—21no—
1623Q8—81no—
1624Q8—2922no—
1625Q8—2921no—
1626Q8—5841no—
1627Q8—5841no—
1628Q8—1461no—
1629Q8—1461no—
1630Q8—1461no—
1631Q8—1461no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—21no—
1636D4—21no—
1637D4—21no—
1638D4—21no—
1639D4—41no—
1640D4—42no—
1641D4—42no—
1642D4—42no—
1643D4—81no—
1644D4—81no—
1645D4—81no—
1646D4—81no—
1647D4—81no—
1648D4—2922no—
1649D4—2921no—
1650D4—2921no—
1651D4—5841no—
1652D4—5841no—
1653D4—5841no—
1654D4—5841no—
1655D4—5841no—
1656D4—5841no—
1657D4—5841no—
1658D4—5841no—
1659D4—5841no—
1660D4—5841no—
1661D4—5841no—
1662D4—5841no—
1663D4—1461no—
1664D4—1461no—
1665D4—1461no—
1666D4—1461no—
1667D4#1455663612yes—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—42no—
1677C2×C4—81no—
1678C2×C4—81no—
1679C2×C4—2921no—
1680C2×C4—2921no—
1681C2×C4—2922no—
1682C2×C4—5841no—
1683C2×C4—5841no—
1684C2×C4—5841no—
1685C2×C4—5841no—
1686C2×C4—5841no—
1687C2×C4—5841no—
1688C2×C4—5841no—
1689C2×C4—5841no—
1690C2×C4—5841no—
1691C2×C4—5841no—
1692C2×C4—5841no—
1693C2×C4—5841no—
1694C2×C4—5841no—
1695C2×C4—731no—
1696C2×C4—731no—
1697C2×C4—731no—
1698C2×C4—731no—
1699C2×C4—731no—
1700C2×C4—731no—
1701C2×C4—731no—
1702C2×C4—1461no—
1703C2×C4—1461no—
1704C2×C4—1461no—
1705C2×C4—1461no—
1706C2×C4—1461no—
1707C2×C4—1461no—
1708C2×C4—1461no—
1709C2×C4—1461no—
1710C2×C4C2×D4×D7311yescharacteristic
1711C2×C4C2×D4×D7311yescharacteristic
1712C2×C4C2×D4×D7311yescharacteristic
1713C2×C4C2×D4×D7311yescharacteristic
1714C2×C4C24×D7311yescharacteristic
1715C8—21no—
1716C8—21no—
1717C8—21no—
1718C8—21no—
1719C8—1461no—
1720C8—1461no—
1721C8—1461no—
1722C8—1461no—
1723C22—21no—
1724C22—21no—
1725C22—22no—
1726C22—21no—
1727C22—21no—
1728C22—21no—
1729C22—21no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—162no—
1742C22—162no—
1743C22—2921no—
1744C22—2921no—
1745C22—2921no—
1746C22—2921no—
1747C22—2921no—
1748C22—2921no—
1749C22—11682no—
1750C22—1461no—
1751C22—1461no—
1752C22—1461no—
1753C22C22×D4×D7311yescharacteristic
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—21no—
1758C4—41no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—2921no—
1763C4—2921no—
1764C4—2921no—
1765C4—2921no—
1766C4—2921no—
1767C4—2921no—
1768C4—1461no—
1769C4—1461no—
1770C4—1461no—
1771C4—1461no—
1772C4—1461no—
1773C4—1461no—
1774C4—1461no—
1775C4C2×#1455663611yescharacteristic
1776C4#1798942211yescharacteristic
1777C2—41no—
1778C2—41no—
1779C2—42no—
1780C2—81no—
1781C2—81no—
1782C2—81no—
1783C2—2921no—
1784C2—5841no—
1785C2—5841no—
1786C2#2262359111yescharacteristic
1787C2#2262470311yescharacteristic
1788C2#2262470711yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3265C2
socleC22×C73C23×D4
hypercenter#3265D73
hypocenterC73#62011
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3265

Complements

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

NH ≅ G/Ntype
1. #22624522C2semidirect
2. #22623883C2semidirect
3. #22623016C2semidirect
4. #22622990C2semidirect
5. #22622718C2semidirect
6. #22622650C2semidirect
7. #22622110C2semidirect
8. #22622082C2semidirect
9. #22621997C2semidirect
10. #22621969C2semidirect
11. #22621876C2semidirect
12. #22621852C2semidirect
13. #22621638C2semidirect
14. #22621609C2semidirect
15. #22621469C2semidirect
16. #22621450C2semidirect
17. #22621407C2semidirect
18. #22621358C2semidirect
19. #22621335C2semidirect
20. #22621255C2semidirect
21. #22621038C2semidirect
22. #22621023C2semidirect
23. #22620921C2semidirect
24. #22620177C2semidirect
25. #22620168C2semidirect
26. #22620044C2semidirect
27. #22619440C2semidirect
28. #22619436C2semidirect
29. #22619383C2semidirect
30. #22619066C2semidirect
31. C73×#3265C2semidirect
34. C2×#14556610C22semidirect
38. #17989323C22semidirect
39. #17989319C22semidirect
40. #17989309C22semidirect
43. #17989301C22semidirect
48. #17989255C22semidirect
49. D4×Dic146C22semidirect
50. #17989248C22semidirect
52. #17989236C22semidirect
56. #17989231C22semidirect
57. #17989228C22semidirect
59. #17989204C22semidirect
60. #17989197C22semidirect
61. #17989190C22semidirect
68. #17989161C22semidirect
69. #17989151C22semidirect
70. #17989136C22semidirect
71. #17989135C22semidirect
72. #17989124C22semidirect
77. #17989062C22semidirect
78. C4×#11924027C22semidirect
79. #17988978C22semidirect
80. #17988975C22semidirect
82. #17988968C22semidirect
83. #17988968C22semidirect
84. #17988948C22semidirect
85. #17988948C22semidirect
86. #17988947C22semidirect
87. #17988946C22semidirect
88. #17988936C22semidirect
89. #17988932C22semidirect
90. #17988929C22semidirect
91. #17988927C22semidirect
92. #17988925C22semidirect
93. #17988914C22semidirect
94. #17988912C22semidirect
95. #17988908C22semidirect
96. #17988893C22semidirect
97. #17988889C22semidirect
98. #17988889C22semidirect
99. #17988885C22semidirect
100. #17988882C22semidirect
101. #17988881C22semidirect
102. #17988878C22semidirect
103. #17988875C22semidirect
104. #17988870C22semidirect
105. #17988866C22semidirect
106. #17988845C22semidirect
108. #17988831C22semidirect
109. #17988826C22semidirect
110. #17988822C22semidirect
111. #17988822C22semidirect
112. #17988816C22semidirect
114. #17988813C22semidirect
115. #17988813C22semidirect
116. #17988812C22semidirect
117. #17988810C22semidirect
118. #17988808C22semidirect
119. #17988807C22semidirect
120. #17988806C22semidirect
124. #17988804C22semidirect
125. #17988804C22semidirect
126. #17988804C22semidirect
127. #17988804C22semidirect
129. #17988801C22semidirect
130. #17988800C22semidirect
131. #17988796C22semidirect
132. #17988790C22semidirect
133. #17988790C22semidirect
134. #17988790C22semidirect
135. #17988790C22semidirect
136. #17988790C22semidirect
137. #17988786C22semidirect
140. #17988780C22semidirect
141. #17988780C22semidirect
142. #17988780C22semidirect
144. #17988751C22semidirect
145. #17988749C22semidirect
146. #17988746C22semidirect
147. #17988743C22semidirect
148. #17988740C22semidirect
151. #17988731C22semidirect
152. #17988731C22semidirect
154. #17988729C22semidirect
155. #17988729C22semidirect
158. #17988716C22semidirect
159. #17988715C22semidirect
160. #17988699C22semidirect
162. #17988696C22semidirect
163. #17988692C22semidirect
164. #17988689C22semidirect
165. #17988688C22semidirect
166. #17988684C22semidirect
167. #17988678C22semidirect
168. SD16×Dic73C22semidirect
169. D8×Dic73C22semidirect
171. #17988661C22semidirect
173. #17988656C22semidirect
174. C8×C22⋊D73C22semidirect
175. #17988650C22semidirect
176. #17988645C22semidirect
177. #17988645C22semidirect
178. #17988642C22semidirect
179. #17988615C22semidirect
180. #17988613C22semidirect
181. C4⋊C8×D73C22semidirect
182. #17988596C22semidirect
183. #17988593C22semidirect
184. #17988584C22semidirect
185. #17988583C22semidirect
186. #17988582C22semidirect
187. #17988580C22semidirect
189. C22×SD16×C73C22semidirect
192. #496×C73C22semidirect
194. #466×C73C22semidirect
195. #463×C73C22semidirect
196. #460×C73C22semidirect
199. #448×C73C22semidirect
200. #447×C73C22semidirect
201. #440×C73C22semidirect
911. #3265D73semidirect
926. C73#62011semidirect
931. C22×SD16C2×D73semidirect
981. #496C2×D73semidirect
1013. #466C2×D73semidirect
1033. #463C2×D73semidirect
1041. #460C2×D73semidirect
1062. #448C2×D73semidirect
1065. #447C2×D73semidirect
1075. #440C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226245222
#226238832
#226230162
#226229902
#226227182
#226226502
#226221102
#226220822
#226219972
#226219692
#226218762
#226218522
#226216382
#226216092
#226214692
#226214502
#226214072
#226213582
#226213352
#226212552
#226210382
#226210232
#226209212
#226201772
#226201682
#226200442
#226194402
#226194362
#226193832
#226190662
C73×#32652
#6201173