Finite Group Databasebeta

← #33971935

Subgroups — #33971935

Order 18688.

2118 conjugacy classes of subgroups.

The subgroup lattice has 1920 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624208C211yesmaximal, characteristic, complemented
2#22623593C211yesmaximal, characteristic, complemented
3#22622169C211yesmaximal, characteristic, complemented
4#22622155C211yesmaximal, characteristic, complemented
5#22622113C211yesmaximal, characteristic, complemented
6#22622088C211yesmaximal, characteristic, complemented
7#22622001C211yesmaximal, characteristic, complemented
8#22621960C211yesmaximal, characteristic, complemented
9#22621877C211yesmaximal, characteristic, complemented
10#22621863C211yesmaximal, characteristic, complemented
11#22621638C211yesmaximal, characteristic, complemented
12#22621609C211yesmaximal, characteristic, complemented
13#22621582C211yesmaximal, characteristic, complemented
14#22621555C211yesmaximal, characteristic, complemented
15#22621510C211yesmaximal, characteristic, complemented
16#22621474C211yesmaximal, characteristic, complemented
17#22621426C211yesmaximal, characteristic, complemented
18#22621415C211yesmaximal, characteristic, complemented
19#22621029C211yesmaximal, characteristic, complemented
20#22621029C211yesmaximal, characteristic, complemented
21#22620813C211yesmaximal, characteristic, complemented
22#22620785C211yesmaximal, characteristic, complemented
23#22620748C211yesmaximal, characteristic, complemented
24#22620699C211yesmaximal, characteristic, complemented
25#22620201C211yesmaximal, characteristic, complemented
26#22620194C211yesmaximal, characteristic, complemented
27#22619199C211yesmaximal, characteristic, complemented
28#22619174C211yesmaximal, characteristic, complemented
29#22619152C211yesmaximal, characteristic, complemented
30#22618974C211yesmaximal, characteristic, complemented
31C73×#3009C211yesmaximal, characteristic, complemented
32C2×#41×D73C2211yescharacteristic, complemented
33C2×#14556623C2211yescharacteristic, complemented
34C2×#14556618C2211yescharacteristic, complemented
35C2×#14556616C2211yescharacteristic, complemented
36C2×#14556614C2211yescharacteristic, complemented
37C2×#14556612C2211yescharacteristic, complemented
38C22×#11924013C2211yescharacteristic, complemented
39#17989329—21no—
40#17989327—21no—
41#17989321—21no—
42#17989308C2211yescharacteristic, complemented
43#17989308C2211yescharacteristic, complemented
44#17989300C2211yescharacteristic, complemented
45#17989300C2211yescharacteristic, complemented
46#17989267—21no—
47#17989256C2211yescharacteristic
48#17989256C2211yescharacteristic, complemented
49#17989248C2211yescharacteristic, complemented
50#17989248C2211yescharacteristic, complemented
51#17989244C2211yescharacteristic
52#17989244C2211yescharacteristic, complemented
53#17989231—21no—
54#17989231—21no—
55#17989231C2211yescharacteristic
56#17989231C2211yescharacteristic, complemented
57#17989228C2211yescharacteristic, complemented
58#17989228C2211yescharacteristic, complemented
59D4×C22⋊D73—21no—
60D4×C22⋊D73—21no—
61D4×C22⋊D73C2211yescharacteristic
62D4×C22⋊D73C2211yescharacteristic, complemented
63#17989211—21no—
64#17989211—21no—
65#17989210C2211yescharacteristic, complemented
66#17989210C2211yescharacteristic, complemented
67#17989173—21no—
68#17989173—21no—
69#17989165—21no—
70#17989165C2211yescharacteristic
71#17989154—21no—
72#17989154C2211yescharacteristic, complemented
73#17989151C2211yescharacteristic, complemented
74#17989100C2211yescharacteristic, complemented
75#17989100C2211yescharacteristic, complemented
76#17989094—21no—
77#17989094C2211yescharacteristic
78C2×#14556562—21no—
79C2×#14556562C2211yescharacteristic, complemented
80#17989070C2211yescharacteristic, complemented
81#17988973C2211yescharacteristic, complemented
82#17988973C2211yescharacteristic, complemented
83#17988968C2211yescharacteristic, complemented
84#17988968C2211yescharacteristic, complemented
85#17988945C2211yescharacteristic, complemented
86#17988945C2211yescharacteristic, complemented
87#17988932C2211yescharacteristic, complemented
88#17988932C2211yescharacteristic, complemented
89#17988929C2211yescharacteristic, complemented
90#17988928C2211yescharacteristic, complemented
91#17988920C2211yescharacteristic, complemented
92#17988915C2211yescharacteristic, complemented
93#17988912C2211yescharacteristic, complemented
94#17988911C2211yescharacteristic, complemented
95#17988910C2211yescharacteristic, complemented
96#17988910C2211yescharacteristic, complemented
97#17988909C2211yescharacteristic, complemented
98#17988909C2211yescharacteristic, complemented
99#17988906C2211yescharacteristic, complemented
100#17988901C2211yescharacteristic, complemented
101#17988880C2211yescharacteristic, complemented
102#17988875C2211yescharacteristic, complemented
103#17988870C2211yescharacteristic, complemented
104#17988865C2211yescharacteristic, complemented
105#17988843C2211yescharacteristic, complemented
106#17988840C2211yescharacteristic, complemented
107#17988839C2211yescharacteristic, complemented
108#17988839C2211yescharacteristic, complemented
109#17988835C2211yescharacteristic, complemented
110#17988833C2211yescharacteristic, complemented
111#17988830C2211yescharacteristic, complemented
112#17988830C2211yescharacteristic, complemented
113#17988826C2211yescharacteristic, complemented
114#17988823C2211yescharacteristic, complemented
115#17988822C2211yescharacteristic, complemented
116#17988822C2211yescharacteristic, complemented
117#17988818C2211yescharacteristic, complemented
118#17988816C2211yescharacteristic, complemented
119#17988813C2211yescharacteristic, complemented
120#17988813C2211yescharacteristic, complemented
121#17988811C2211yescharacteristic, complemented
122#17988811C2211yescharacteristic, complemented
123#17988807C2211yescharacteristic, complemented
124#17988807C2211yescharacteristic, complemented
125#17988804C2211yescharacteristic, complemented
126#17988804C2211yescharacteristic, complemented
127#17988801C2211yescharacteristic, complemented
128#17988801C2211yescharacteristic, complemented
129#17988785C2211yescharacteristic, complemented
130#17988785C2211yescharacteristic, complemented
131#17988781C2211yescharacteristic, complemented
132#17988781C2211yescharacteristic, complemented
133#17988748C2211yescharacteristic, complemented
134#17988747C2211yescharacteristic, complemented
135#17988747C2211yescharacteristic, complemented
136#17988746C2211yescharacteristic, complemented
137#17988743C2211yescharacteristic, complemented
138#17988741C2211yescharacteristic, complemented
139#17988740C2211yescharacteristic, complemented
140#17988736C2211yescharacteristic, complemented
141#17988735C2211yescharacteristic, complemented
142#17988734C2211yescharacteristic, complemented
143#17988734C2211yescharacteristic, complemented
144#17988733C2211yescharacteristic, complemented
145#17988732C2211yescharacteristic
146#17988732C2211yescharacteristic
147#17988732C2211yescharacteristic, complemented
148#17988732C2211yescharacteristic, complemented
149#17988731C2211yescharacteristic, complemented
150#17988731C2211yescharacteristic, complemented
151#17988731C2211yescharacteristic, complemented
152#17988731C2211yescharacteristic, complemented
153#17988727C2211yescharacteristic, complemented
154#17988726C2211yescharacteristic, complemented
155#17988723C2211yescharacteristic, complemented
156#17988722C2211yescharacteristic, complemented
157#17988721C2211yescharacteristic, complemented
158#17988721C2211yescharacteristic, complemented
159#17988721C2211yescharacteristic, complemented
160#17988721C2211yescharacteristic, complemented
161#17988696C2211yescharacteristic, complemented
162#17988694C2211yescharacteristic, complemented
163#17988690C2211yescharacteristic, complemented
164#17988688C2211yescharacteristic, complemented
165Q16×Dic73C2211yescharacteristic, complemented
166SD16×Dic73C2211yescharacteristic, complemented
167#17988672C2211yescharacteristic, complemented
168#17988667C2211yescharacteristic, 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#17988594C2211yescharacteristic, complemented
180#17988592C2211yescharacteristic, complemented
181#17988590C2211yescharacteristic, complemented
182#17988583C2211yescharacteristic, complemented
183#17988582C2211yescharacteristic, complemented
184#17988580C2211yescharacteristic, complemented
185#17988554C2211yescharacteristic, complemented
186#17988549C2211yescharacteristic, complemented
187C22⋊C8×D73C2211yescharacteristic, complemented
188C2×H(5,𝔽2)×C73C2211yescharacteristic
189C2×#137×C73C2211yescharacteristic, complemented
190C22×SD16×C73C2211yescharacteristic, complemented
191#536×C73C2211yescharacteristic, complemented
192#452×C73C2211yescharacteristic, complemented
193#452×C73C2211yescharacteristic, complemented
194#452×C73C2211yescharacteristic, complemented
195#452×C73C2211yescharacteristic, complemented
196#450×C73C2211yescharacteristic, complemented
197#450×C73C2211yescharacteristic, complemented
198#450×C73C2211yescharacteristic, complemented
199#450×C73C2211yescharacteristic, complemented
200#418×C73C2211yescharacteristic, complemented
201#416×C73C2211yescharacteristic, complemented
202#408×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924029C2311yescharacteristic
205C2×#11924029C2311yescharacteristic
206C2×#11924028—21no—
207C2×#11924028C2311yescharacteristic
208C2×#11924027—21no—
209C2×#11924027C2311yescharacteristic
210#41×D73—42no—
211#41×D73—42no—
212C2×Q8×D73C2311yescharacteristic
213C22×D292C2311yescharacteristic
214C22×C22⋊D73—21no—
215C22×C22⋊D73—21no—
216C22×C22⋊D73—21no—
217C2×D4×D73—21no—
218C2×D4×D73C2311yescharacteristic
219C22×C4×D73—21no—
220C22×C4×D73C2311yescharacteristic
221#14556623—42no—
222#14556618—42no—
223#14556616—42no—
224#14556614—42no—
225#14556612—42no—
226C2×#11924018C2311yescharacteristic
227C2×#11924018C2311yescharacteristic
228C2×#11924017C2311yescharacteristic
229C2×#11924017C2311yescharacteristic
230C2×#11924015C2311yescharacteristic
231C2×#11924015C2311yescharacteristic
232C2×#11924015C2311yescharacteristic
233C2×#11924015C2311yescharacteristic
234C2×D584C2311yescharacteristic
235C2×D584C2311yescharacteristic
236C2×#11924013—42no—
237C2×#11924013C2311yescharacteristic
238C2×#11924013C2311yescharacteristic
239C2×#11924013C2311yescharacteristic
240C2×#11924013C2311yescharacteristic
241C2×#11924013C2311yescharacteristic
242C2×#11924013C2311yescharacteristic
243C2×#11924012C2311yescharacteristic
244C2×#11924011C2311yescharacteristic
245C2×#11924011C2311yescharacteristic
246C22×#10596831C2311yescharacteristic
247C2×C8×D73C2311yescharacteristic
248C2×C8×D73C2311yescharacteristic
249#14556590C2311yescharacteristic
250#14556590C2311yescharacteristic
251#14556587—21no—
252#14556587—21no—
253#14556587—21no—
254#14556587C2311yescharacteristic
255#14556587C2311yescharacteristic
256#14556586—21no—
257#14556586—21no—
258#14556586—21no—
259#14556586—21no—
260#14556584—21no—
261#14556584—21no—
262#14556580—21no—
263#14556580—21no—
264#14556580—21no—
265#14556580C2311yescharacteristic
266#14556580C2311yescharacteristic
267#14556579—21no—
268#14556579—21no—
269#14556578—21no—
270#14556578—21no—
271#14556578C2311yescharacteristic
272#14556578C2311yescharacteristic
273#14556577—21no—
274#14556577—21no—
275#14556577—21no—
276#14556577—21no—
277#14556577—21no—
278#14556577—21no—
279#14556576—21no—
280#14556576—21no—
281#14556576—21no—
282#14556576—21no—
283#14556573—21no—
284#14556573—21no—
285#14556572—21no—
286#14556572—21no—
287#14556572D411yescharacteristic
288#14556572D411yescharacteristic
289#14556571—21no—
290#14556571—21no—
291#14556570—21no—
292#14556570—21no—
293#14556570C2311yescharacteristic
294#14556570C2311yescharacteristic
295#14556567—21no—
296#14556567—21no—
297#14556567—21no—
298#14556567D411yescharacteristic
299#14556567D411yescharacteristic
300#14556567C2311yescharacteristic
301#14556567C2311yescharacteristic
302#14556566—21no—
303#14556566—21no—
304#14556566C2311yescharacteristic
305#14556566C2311yescharacteristic
306#14556565—21no—
307#14556565—21no—
308#14556565—21no—
309#14556565—21no—
310#14556565C2311yescharacteristic
311#14556565C2311yescharacteristic
312#14556565C2311yescharacteristic
313#14556565C2311yescharacteristic
314#14556565C2311yescharacteristic
315#14556565C2311yescharacteristic
316#14556564—21no—
317#14556564—21no—
318#14556563—21no—
319#14556563—21no—
320#14556563—21no—
321#14556563—21no—
322#14556563—21no—
323#14556563—21no—
324#14556562—21no—
325#14556562—21no—
326#14556562—21no—
327#14556562—21no—
328#14556562—21no—
329#14556562—21no—
330#14556562—21no—
331#14556562—21no—
332#14556562—21no—
333#14556562D411yescharacteristic
334#14556562D411yescharacteristic
335#14556562C2311yescharacteristic
336#14556562C2311yescharacteristic
337#14556562C2311yescharacteristic
338#14556562C2311yescharacteristic
339#14556561—21no—
340#14556561—21no—
341#14556561—21no—
342#14556561—21no—
343#14556560—21no—
344#14556560—21no—
345#14556560—21no—
346#14556560—21no—
347#14556560—21no—
348#14556560—21no—
349#14556559—21no—
350#14556559—21no—
351#14556559—21no—
352#14556559—21no—
353#14556559D411yescharacteristic
354#14556559D411yescharacteristic
355Q8×Dic73C2311yescharacteristic
356Q8×Dic73C2311yescharacteristic
357Q8×Dic73C2311yescharacteristic
358Q8×Dic73C2311yescharacteristic
359#14556556—21no—
360#14556556—21no—
361D4×Dic73—21no—
362D4×Dic73—21no—
363D4×Dic73C2311yescharacteristic
364D4×Dic73C2311yescharacteristic
365#14556553—21no—
366#14556553—21no—
367#14556553C2311yescharacteristic
368#14556553C2311yescharacteristic
369C4×C22⋊D73—21no—
370C4×C22⋊D73—21no—
371C4×C22⋊D73—21no—
372C4×C22⋊D73—21no—
373C4×C22⋊D73—21no—
374C4×C22⋊D73—21no—
375C4×C22⋊D73C2311yescharacteristic
376C4×C22⋊D73C2311yescharacteristic
377C4×C22⋊D73C2311yescharacteristic
378C4×C22⋊D73C2311yescharacteristic
379#14556551—21no—
380#14556551—21no—
381#14556550—21no—
382#14556550C2311yescharacteristic
383#14556550C2311yescharacteristic
384#14556549C2311yescharacteristic
385#14556549C2311yescharacteristic
386#14556548—21no—
387#14556548—21no—
388C2×C4⋊Dic73—21no—
389C2×C4⋊Dic73C2311yescharacteristic
390C2×C22⋊Dic73—21no—
391C2×C22⋊Dic73—21no—
392C2×C22⋊Dic73—21no—
393C22⋊C4×D73—21no—
394C22⋊C4×D73—21no—
395#14556525C2311yescharacteristic
396#14556525C2311yescharacteristic
397#14556524C2311yescharacteristic
398#14556524C2311yescharacteristic
399#14556523C2311yescharacteristic
400#14556523C2311yescharacteristic
401#14556522C2311yescharacteristic
402#14556522C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556520C2311yescharacteristic
405#14556520C2311yescharacteristic
406#14556520C2311yescharacteristic
407#14556516C2311yescharacteristic
408#14556516C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556515C2311yescharacteristic
411#14556515C2311yescharacteristic
412#14556515C2311yescharacteristic
413#14556515C2311yescharacteristic
414#14556515C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556514C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556513C2311yescharacteristic
422#14556513C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556512C2311yescharacteristic
427#14556512C2311yescharacteristic
428#14556512C2311yescharacteristic
429#14556511C2311yescharacteristic
430#14556511C2311yescharacteristic
431C22⋊#10596831C2311yescharacteristic
432C22⋊#10596831C2311yescharacteristic
433C22⋊#10596831C2311yescharacteristic
434C22⋊#10596831C2311yescharacteristic
435#14556503C2311yescharacteristic
436#14556503C2311yescharacteristic
437#14556503C2311yescharacteristic
438#14556503C2311yescharacteristic
439#14556501C2311yescharacteristic
440#14556501C2311yescharacteristic
441C8×Dic73C2311yescharacteristic
442C8×Dic73C2311yescharacteristic
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
450C22×Q8×C73C2311yescharacteristic
451C22×D4×C73—21no—
452C22×D4×C73—21no—
453C22×D4×C73—21no—
454C22×D4×C73C2311yescharacteristic
455C22×D4×C73C2311yescharacteristic
456C22×D4×C73C2311yescharacteristic
457#137×C73—42no—
458C2×Q16×C73C2311yescharacteristic
459C2×Q16×C73C2311yescharacteristic
460C2×SD16×C73—42no—
461C2×SD16×C73C2311yescharacteristic
462C2×SD16×C73C2311yescharacteristic
463C2×SD16×C73C2311yescharacteristic
464C2×SD16×C73C2311yescharacteristic
465C2×SD16×C73C2311yescharacteristic
466C2×SD16×C73C2311yescharacteristic
467C2×M16×C73C2311yescharacteristic
468C22×C8×C73C2311yescharacteristic
469C4⋊Q8×C73—21no—
470#124×C73—21no—
471#123×C73—21no—
472#123×C73—21no—
473C22⋊Q8×C73C2311yescharacteristic
474C22⋊Q8×C73C2311yescharacteristic
475C22⋊Q8×C73C2311yescharacteristic
476C22⋊Q8×C73C2311yescharacteristic
477#117×C73C2311yescharacteristic
478#103×C73C2311yescharacteristic
479#103×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481#102×C73C2311yescharacteristic
482#102×C73C2311yescharacteristic
483#102×C73C2311yescharacteristic
484#102×C73C2311yescharacteristic
485#102×C73C2311yescharacteristic
486C22⋊C8×C73C2311yescharacteristic
487C22⋊C8×C73C2311yescharacteristic
488C22⋊C8×C73C2311yescharacteristic
489C22⋊C8×C73C2311yescharacteristic
490C23×D73—21no—
491C23×D73—21no—
492C23×D73C2×D411yescharacteristic
493#11924029—22no—
494#11924029—41no—
495#11924029—41no—
496#11924029—41no—
497#11924029—41no—
498#11924029—41no—
499#11924028—41no—
500#11924028—41no—
501#11924028—44no—
502#11924027—22no—
503#11924027—41no—
504#11924027—44no—
505C2×Dic146—21no—
506C2×Dic146—21no—
507C2×Dic146—21no—
508C2×Dic146C2411yescharacteristic
509Q8×D73—22no—
510Q8×D73—41no—
511C2×D292—21no—
512C2×D292—21no—
513C2×D292—21no—
514C2×D292—21no—
515C2×D292—21no—
516C2×D292—21no—
517C2×D292—41no—
518C2×D292—41no—
519C2×D292C2411yescharacteristic
520C2×D292C2411yescharacteristic
521C2×D292C2411yescharacteristic
522C2×C22⋊D73—21no—
523C2×C22⋊D73—21no—
524C2×C22⋊D73—21no—
525C2×C22⋊D73—21no—
526C2×C22⋊D73—21no—
527C2×C22⋊D73—21no—
528C2×C22⋊D73—21no—
529C2×C22⋊D73—21no—
530C2×C22⋊D73—21no—
531C2×C22⋊D73—21no—
532C2×C22⋊D73—21no—
533C2×C22⋊D73—21no—
534C2×C22⋊D73—21no—
535C2×C22⋊D73—21no—
536C2×C22⋊D73—21no—
537C2×C22⋊D73—21no—
538C2×C22⋊D73—21no—
539C2×C22⋊D73—82no—
540C2×C22⋊D73—82no—
541C2×C22⋊D73—82no—
542C2×C22⋊D73C2×D411yescharacteristic
543C2×C22⋊D73C2×D411yescharacteristic
544C2×C22⋊D73C2×D411yescharacteristic
545C2×C22⋊D73C2×D411yescharacteristic
546D4×D73—22no—
547D4×D73—41no—
548D4×D73—44no—
549C22×Dic73—21no—
550C22×Dic73—21no—
551C22×Dic73—21no—
552C22×Dic73—21no—
553C22×Dic73C2×D411yescharacteristic
554C2×C4×D73—21no—
555C2×C4×D73—21no—
556C2×C4×D73—21no—
557C2×C4×D73—21no—
558C2×C4×D73—21no—
559C2×C4×D73—21no—
560C2×C4×D73—21no—
561C2×C4×D73—41no—
562C2×C4×D73—41no—
563C2×C4×D73—44no—
564C2×C4×D73C2×D411yescharacteristic
565C2×C4×D73C2×D411yescharacteristic
566C2×C4×D73C2411yescharacteristic
567C2×C4×D73C2411yescharacteristic
568#11924018—41no—
569#11924018—41no—
570#11924017—41no—
571#11924017—41no—
572#11924015—22no—
573#11924015—22no—
574#11924015—41no—
575#11924015—41no—
576D584—41no—
577D584—41no—
578#11924013—22no—
579#11924013—22no—
580#11924013—41no—
581#11924013—41no—
582#11924013—41no—
583#11924013—41no—
584#11924012—41no—
585#11924011—41no—
586#11924011—41no—
587C2×#10596831—41no—
588C2×#10596831C2411yescharacteristic
589C2×#10596831C2411yescharacteristic
590C2×#10596831C2411yescharacteristic
591C2×#10596831C2411yescharacteristic
592C8×D73—41no—
593C8×D73—41no—
594C4⋊Dic73—21no—
595C4⋊Dic73—21no—
596C4⋊Dic73—21no—
597C4⋊Dic73—21no—
598C4⋊Dic73—21no—
599C4⋊Dic73C2×D411yescharacteristic
600C4⋊Dic73C2×D411yescharacteristic
601C4⋊Dic73C2411yescharacteristic
602C4⋊Dic73C2411yescharacteristic
603C4⋊Dic73C2411yescharacteristic
604C4⋊Dic73C2411yescharacteristic
605#11924007—21no—
606#11924007—21no—
607#11924007—21no—
608#11924007—21no—
609#11924007—21no—
610#11924007—21no—
611#11924007C2×D411yescharacteristic
612#11924007C2×D411yescharacteristic
613#11924007C2×D411yescharacteristic
614#11924007C2×D411yescharacteristic
615C22⋊Dic73—21no—
616C22⋊Dic73—21no—
617C22⋊Dic73—21no—
618C22⋊Dic73—21no—
619C22⋊Dic73—21no—
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⋊Dic73C2×D411yescharacteristic
629C22⋊Dic73C2×D411yescharacteristic
630C22⋊Dic73C2×D411yescharacteristic
631C22⋊Dic73C2×D411yescharacteristic
632C22⋊Dic73C2×D411yescharacteristic
633C22⋊Dic73C2×D411yescharacteristic
634#11924005—21no—
635#11924005—21no—
636#11924005—21no—
637#11924005—21no—
638#11924005—21no—
639#11924005—21no—
640#11924005—21no—
641#11924005—21no—
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#11924005C2×D411yescharacteristic
653#11924005C2×D411yescharacteristic
654#11924005C2×D411yescharacteristic
655#11924005C2×D411yescharacteristic
656C4×Dic73—21no—
657C4×Dic73—21no—
658C4×Dic73—21no—
659C4×Dic73—21no—
660C4×Dic73—21no—
661C4×Dic73—21no—
662C4×Dic73—21no—
663C4×Dic73C2411yescharacteristic
664C4×Dic73C2411yescharacteristic
665C24×C73—21no—
666C24×C73—21no—
667C24×C73—21no—
668#41×C73—22no—
669#41×C73—22no—
670#41×C73—22no—
671#41×C73—22no—
672#41×C73—41no—
673#41×C73—41no—
674#41×C73—41no—
675#41×C73—41no—
676#41×C73—44no—
677C2×Q8×C73—21no—
678C2×Q8×C73—41no—
679C2×Q8×C73—41no—
680C2×Q8×C73C2×D411yescharacteristic
681C2×Q8×C73C2411yescharacteristic
682C2×Q8×C73C2411yescharacteristic
683C2×Q8×C73C2411yescharacteristic
684C2×D4×C73—21no—
685C2×D4×C73—22no—
686C2×D4×C73—22no—
687C2×D4×C73—21no—
688C2×D4×C73—21no—
689C2×D4×C73—21no—
690C2×D4×C73—21no—
691C2×D4×C73—21no—
692C2×D4×C73—41no—
693C2×D4×C73—41no—
694C2×D4×C73—41no—
695C2×D4×C73—41no—
696C2×D4×C73—44no—
697C2×D4×C73—44no—
698C2×D4×C73—44no—
699C2×D4×C73C2×D411yescharacteristic
700C2×D4×C73C2×D411yescharacteristic
701C2×D4×C73C2×D411yescharacteristic
702C2×D4×C73C2411yescharacteristic
703C2×D4×C73C2411yescharacteristic
704C2×D4×C73C2411yescharacteristic
705C22×C4×C73—21no—
706C22×C4×C73—21no—
707C22×C4×C73—21no—
708C22×C4×C73—21no—
709C22×C4×C73C2411yescharacteristic
710C22×C4×C73C2411yescharacteristic
711C22×C4×C73C2411yescharacteristic
712Q16×C73—22no—
713Q16×C73—22no—
714SD16×C73—22no—
715SD16×C73—22no—
716SD16×C73—41no—
717SD16×C73—41no—
718SD16×C73—41no—
719SD16×C73—41no—
720M16×C73—41no—
721C2×C8×C73—41no—
722C2×C8×C73C2411yescharacteristic
723C2×C8×C73C2411yescharacteristic
724C2×C8×C73C2411yescharacteristic
725C2×C8×C73C2411yescharacteristic
726C4⋊C4×C73—21no—
727C4⋊C4×C73—21no—
728C4⋊C4×C73—21no—
729C4⋊C4×C73—21no—
730C4⋊C4×C73C2411yescharacteristic
731C4⋊C4×C73C2411yescharacteristic
732C22⋊C4×C73—21no—
733C22⋊C4×C73—21no—
734C22⋊C4×C73—21no—
735C22⋊C4×C73—21no—
736C22⋊C4×C73—21no—
737C42×C73—21no—
738C23×C73—21no—
739C23×C73—21no—
740C23×C73—21no—
741C23×C73—42no—
742C23×C73—42no—
743C23×C73—42no—
744C23×C73—81no—
745C23×C73—81no—
746C23×C73—81no—
747C23×C73—81no—
748C23×C73—81no—
749C23×C73—81no—
750C23×C73C22×D411yescharacteristic
751C23×C73C22×D411yescharacteristic
752C23×C73C22×D411yescharacteristic
753C22×D73—21no—
754C22×D73—21no—
755C22×D73—21no—
756C22×D73—41no—
757C22×D73—41no—
758C22×D73—41no—
759C22×D73—42no—
760C22×D73—42no—
761C22×D73—81no—
762C22×D73—81no—
763C22×D73—81no—
764C22×D73—81no—
765C22×D73C22×D411yescharacteristic
766C22×D73C22×D411yescharacteristic
767Q8×C73—21no—
768Q8×C73—21no—
769Q8×C73—21no—
770Q8×C73—21no—
771Q8×C73—21no—
772Q8×C73—41no—
773Q8×C73—81no—
774Q8×C73H(5,𝔽2)12yes—
775D4×C73—24no—
776D4×C73—21no—
777D4×C73—21no—
778D4×C73—21no—
779D4×C73—21no—
780D4×C73—21no—
781D4×C73—41no—
782D4×C73—41no—
783D4×C73—41no—
784D4×C73—42no—
785D4×C73—42no—
786D4×C73—42no—
787D4×C73—42no—
788D4×C73—42no—
789D4×C73H(5,𝔽2)12yes—
790C2×C4×C73—24no—
791C2×C4×C73—21no—
792C2×C4×C73—21no—
793C2×C4×C73—21no—
794C2×C4×C73—21no—
795C2×C4×C73—21no—
796C2×C4×C73—21no—
797C2×C4×C73—21no—
798C2×C4×C73—21no—
799C2×C4×C73—21no—
800C2×C4×C73—21no—
801C2×C4×C73—21no—
802C2×C4×C73—42no—
803C2×C4×C73—42no—
804C2×C4×C73—81no—
805C2×C4×C73C22×D411yescharacteristic
806C2×C4×C73C22×D411yescharacteristic
807C2×C4×C73C22×D411yescharacteristic
808C2×C4×C73C2511yescharacteristic
809C22⋊D73—41no—
810C22⋊D73—41no—
811C22⋊D73—41no—
812C22⋊D73—41no—
813C22⋊D73—42no—
814C22⋊D73—42no—
815C22⋊D73—42no—
816C22⋊D73—42no—
817C22⋊D73—42no—
818C22⋊D73—81no—
819C22⋊D73—81no—
820C22⋊D73—81no—
821C22⋊D73—81no—
822C22⋊D73—81no—
823C22⋊D73—81no—
824C22⋊D73—81no—
825C22⋊D73—81no—
826C22⋊D73—81no—
827C22⋊D73—81no—
828C22⋊D73—81no—
829C22⋊D73—81no—
830C2×Dic73—21no—
831C2×Dic73—21no—
832C2×Dic73—21no—
833C2×Dic73—21no—
834C2×Dic73—21no—
835C2×Dic73—41no—
836C2×Dic73—42no—
837C2×Dic73—81no—
838C2×Dic73—81no—
839C2×Dic73—81no—
840C2×Dic73C22×D411yescharacteristic
841C2×Dic73C22×D411yescharacteristic
842C2×Dic73C22×D411yescharacteristic
843C2×Dic73C22×D411yescharacteristic
844C2×Dic73C22×D411yescharacteristic
845C2×Dic73C22×D411yescharacteristic
846D292—21no—
847D292—21no—
848D292—21no—
849D292—21no—
850D292—21no—
851D292—21no—
852D292—42no—
853D292—81no—
854D292—81no—
855D292—81no—
856D292—81no—
857D292—81no—
858C4×D73—21no—
859C4×D73—21no—
860C4×D73—21no—
861C4×D73—21no—
862C4×D73—41no—
863C4×D73—41no—
864C4×D73—42no—
865C4×D73—42no—
866C4×D73—42no—
867C4×D73—81no—
868C4×D73—81no—
869C4×D73—81no—
870C4×D73—81no—
871Dic146—21no—
872Dic146—21no—
873Dic146—42no—
874Dic146—81no—
875Dic146—81no—
876C8×C73—21no—
877C8×C73—21no—
878C8×C73—21no—
879C8×C73—21no—
880#10596831—21no—
881#10596831—21no—
882#10596831—21no—
883#10596831—21no—
884C22×C73—21no—
885C22×C73—21no—
886C22×C73—21no—
887C22×C73—21no—
888C22×C73—21no—
889C22×C73—21no—
890C22×C73—21no—
891C22×C73—22no—
892C22×C73—21no—
893C22×C73—21no—
894C22×C73—41no—
895C22×C73—41no—
896C22×C73—41no—
897C22×C73—41no—
898C22×C73—41no—
899C22×C73—41no—
900C22×C73—41no—
901C22×C73—41no—
902C22×C73—162no—
903C22×C73—162no—
904C22×C73—162no—
905C22×C73C23×D411yescharacteristic
906C2×D73—21no—
907C2×D73—21no—
908C2×D73—21no—
909C2×D73—21no—
910C2×D73—21no—
911C2×D73—21no—
912C2×D73—41no—
913C2×D73—41no—
914C2×D73—41no—
915C2×D73—41no—
916C2×D73—41no—
917C2×D73—41no—
918C2×D73—41no—
919C2×D73—41no—
920C2×D73—41no—
921C2×D73—82no—
922C2×D73—84no—
923C2×D73—162no—
924C4×C73—22no—
925C4×C73—21no—
926C4×C73—21no—
927C4×C73—21no—
928C4×C73—41no—
929C4×C73—41no—
930C4×C73—41no—
931C4×C73—41no—
932C4×C73C2×H(5,𝔽2)11yescharacteristic
933C4×C73C2×H(5,𝔽2)11yescharacteristic
934Dic73—21no—
935Dic73—21no—
936Dic73—21no—
937Dic73—21no—
938Dic73—21no—
939Dic73—21no—
940Dic73—41no—
941Dic73—41no—
942Dic73—41no—
943Dic73—41no—
944Dic73—41no—
945#61625—731nomaximal, Sylow
946C2×C73—41no—
947C2×C73—42no—
948C2×C73—41no—
949C2×C73—41no—
950C2×C73—81no—
951C2×C73—81no—
952C2×C73#348411yescharacteristic
953C2×C73#358411yescharacteristic
954C2×C73#358511yescharacteristic
955D73—41no—
956D73—41no—
957D73—81no—
958D73—81no—
959D73—81no—
960#3540—731no—
961#3488—731no—
962#3325—731no—
963#3324—731no—
964#3321—731no—
965#3319—731no—
966#3313—731no—
967#3311—731no—
968#3305—731no—
969#3304—731no—
970#3282—731no—
971#3280—731no—
972#3277—731no—
973#3275—731no—
974#3271—731no—
975#3268—731no—
976#3265—731no—
977#3264—731no—
978#3224—731no—
979#3224—731no—
980#3201—731no—
981#3198—731no—
982#3194—731no—
983#3188—731no—
984#3125—731no—
985#3124—731no—
986#3009D7311yescharacteristic, complemented
987#3008—731no—
988#3005—731no—
989#3002—731no—
990#2976—731no—
991C73#6162511yescharacteristic, complemented, Sylow
992C2×H(5,𝔽2)C2×D7311yescharacteristic
993C22×#41—731no—
994C2×#137—731no—
995C2×#137C2×D7311yescharacteristic, complemented
996C2×AGL(1,ℤ/8)—731no—
997C2×AGL(1,ℤ/8)—731no—
998C2×#135—731no—
999C2×#135—731no—
1000C22×SD16C2×D7311yescharacteristic, complemented
1001C22×D8—731no—
1002H(3,𝔽4)—1461no—
1003#560—1461no—
1004#559—1461no—
1005#556—731no—
1006#556—731no—
1007#555—731no—
1008#555—731no—
1009#551—1461no—
1010#550—731no—
1011#550—731no—
1012#548—731no—
1013#548—731no—
1014#548—731no—
1015#548—731no—
1016#546—731no—
1017#546—731no—
1018#546—731no—
1019#546—731no—
1020#546—1461no—
1021#546—1461no—
1022D42—731no—
1023D42—731no—
1024D42—1461no—
1025D42—1461no—
1026#542—731no—
1027#542—731no—
1028#542—1461no—
1029#542—1461no—
1030#538—1461no—
1031#538—1461no—
1032#537—731no—
1033#537—1461no—
1034#536C2×D7311yescharacteristic, complemented
1035#535—731no—
1036#535—731no—
1037#535—1461no—
1038#525—731no—
1039#525—731no—
1040#525—731no—
1041#525—1461no—
1042C2×#121—731no—
1043C2×#121—1461no—
1044#520—731no—
1045#496—731no—
1046#496—731no—
1047#495—731no—
1048#495—731no—
1049#489—731no—
1050#489—731no—
1051#486—731no—
1052#486—731no—
1053#485—731no—
1054#485—731no—
1055#484—731no—
1056#483—731no—
1057#482—731no—
1058#482—731no—
1059#482—731no—
1060#482—731no—
1061#482—731no—
1062#482—731no—
1063#481—731no—
1064#480—731no—
1065#477—731no—
1066#476—731no—
1067#475—731no—
1068#474—731no—
1069#470—731no—
1070#469—731no—
1071#469—731no—
1072#469—731no—
1073#468—731no—
1074#468—731no—
1075#468—731no—
1076#468—731no—
1077#467—731no—
1078#466—731no—
1079#466—731no—
1080#466—731no—
1081#465—731no—
1082#465—731no—
1083#465—731no—
1084#465—731no—
1085#464—731no—
1086#464—731no—
1087#464—731no—
1088#464—731no—
1089#463—731no—
1090#463—731no—
1091#463—731no—
1092#463—731no—
1093#460—731no—
1094#460—731no—
1095#459—731no—
1096#459—731no—
1097#452—731no—
1098#452—731no—
1099#452—731no—
1100#452—731no—
1101#452C2×D7311yescharacteristic, complemented
1102#452C2×D7311yescharacteristic, complemented
1103#452C2×D7311yescharacteristic, complemented
1104#452C2×D7311yescharacteristic, complemented
1105#451—731no—
1106#451—731no—
1107#450—731no—
1108#450—731no—
1109#450C2×D7311yescharacteristic, complemented
1110#450C2×D7311yescharacteristic, complemented
1111#450C2×D7311yescharacteristic, complemented
1112#450C2×D7311yescharacteristic, complemented
1113#449—731no—
1114#449—731no—
1115#449—731no—
1116#449—731no—
1117#449—731no—
1118#449—731no—
1119#449—731no—
1120#449—731no—
1121#449—731no—
1122#449—731no—
1123#449—731no—
1124#449—731no—
1125#448—731no—
1126#448—731no—
1127#447—731no—
1128#447—731no—
1129#447—731no—
1130#447—731no—
1131#447—731no—
1132#447—731no—
1133#442—731no—
1134#441—731no—
1135#440—731no—
1136#440—731no—
1137C4×Q16—731no—
1138C4×SD16—731no—
1139C4×SD16—731no—
1140C4×D8—731no—
1141#436—731no—
1142#436—731no—
1143#435—731no—
1144#435—731no—
1145#435—731no—
1146#435—731no—
1147C8×D4—731no—
1148C8×D4—731no—
1149#433—731no—
1150#433—731no—
1151#419—731no—
1152#418—731no—
1153#418—731no—
1154#418C2×D7311yescharacteristic, complemented
1155#416—731no—
1156#416—731no—
1157#416—731no—
1158#416C2×D7311yescharacteristic, complemented
1159#408—731no—
1160#408C2×D7311yescharacteristic, complemented
1161#407—731no—
1162C2×C22⋊C8—731no—
1163H(5,𝔽2)—42no—
1164H(5,𝔽2)—42no—
1165C2×#41—21no—
1166C2×#41—2922no—
1167C2×#41—2922no—
1168C2×#41—731no—
1169C2×#41—731no—
1170C2×#41—731no—
1171C2×#41—731no—
1172C2×#41—731no—
1173C2×#41—1461no—
1174C2×#41—1461no—
1175C2×#41C22×D7311yescharacteristic
1176C2×#41C22×D7311yescharacteristic
1177C2×#41C22×D7311yescharacteristic
1178C2×#41C22×D7311yescharacteristic
1179C22×Q8—731no—
1180C22×Q8C22×D7311yescharacteristic
1181C22×D4—21no—
1182C22×D4—21no—
1183C22×D4—21no—
1184C22×D4—731no—
1185C22×D4—731no—
1186C22×D4—1461no—
1187C22×D4—1461no—
1188C22×D4—1461no—
1189C22×D4—1461no—
1190C22×D4C22×D7311yescharacteristic
1191C22×D4C22×D7311yescharacteristic
1192C22×D4C22×D7311yescharacteristic
1193C23×C4—731no—
1194C23×C4—1461no—
1195#137—42no—
1196#137—2922no—
1197AGL(1,ℤ/8)—2922no—
1198AGL(1,ℤ/8)—2922no—
1199#135—2922no—
1200#135—2922no—
1201C2×Q16—731no—
1202C2×Q16—731no—
1203C2×Q16C22×D7311yescharacteristic
1204C2×Q16C22×D7311yescharacteristic
1205C2×SD16—42no—
1206C2×SD16—731no—
1207C2×SD16—731no—
1208C2×SD16—731no—
1209C2×SD16—731no—
1210C2×SD16—731no—
1211C2×SD16—731no—
1212C2×SD16C22×D7311yescharacteristic
1213C2×SD16C22×D7311yescharacteristic
1214C2×SD16C22×D7311yescharacteristic
1215C2×SD16C22×D7311yescharacteristic
1216C2×SD16C22×D7311yescharacteristic
1217C2×SD16C22×D7311yescharacteristic
1218C2×D8—2922no—
1219C2×D8—731no—
1220C2×D8—731no—
1221C2×D8—731no—
1222C2×D8—731no—
1223C2×D8—731no—
1224C2×D8—731no—
1225C2×D8—731no—
1226C2×D8—731no—
1227C2×M16—731no—
1228C2×M16—731no—
1229C2×M16—731no—
1230C2×M16C22×D7311yescharacteristic
1231C22×C8—731no—
1232C22×C8—731no—
1233C22×C8—731no—
1234C22×C8C22×D7311yescharacteristic
1235C4⋊Q8—21no—
1236C4⋊Q8—731no—
1237C4⋊Q8—731no—
1238#127—731no—
1239#127—731no—
1240#127—1461no—
1241#127—1461no—
1242#127—1461no—
1243#126—1461no—
1244#126—1461no—
1245#126—1461no—
1246#126—1461no—
1247#126—1461no—
1248#126—1461no—
1249#124—21no—
1250#124—731no—
1251#124—731no—
1252#124—731no—
1253#124—731no—
1254#124—1461no—
1255#124—1461no—
1256#124—1461no—
1257#124—1461no—
1258#124—1461no—
1259#124—1461no—
1260#124—1461no—
1261#124—1461no—
1262#124—1461no—
1263#124—1461no—
1264#124—1461no—
1265#124—1461no—
1266#124—1461no—
1267#123—21no—
1268#123—21no—
1269#123—731no—
1270#123—731no—
1271#123—1461no—
1272#123—1461no—
1273#123—1461no—
1274#123—1461no—
1275#123—1461no—
1276#123—1461no—
1277#123—1461no—
1278#123—1461no—
1279C22⋊Q8—731no—
1280C22⋊Q8—731no—
1281C22⋊Q8—731no—
1282C22⋊Q8—731no—
1283C22⋊Q8—731no—
1284C22⋊Q8—731no—
1285C22⋊Q8—1461no—
1286C22⋊Q8—1461no—
1287C22⋊Q8—1461no—
1288C22⋊Q8—1461no—
1289C22⋊Q8—1461no—
1290C22⋊Q8—1461no—
1291C22⋊Q8—1461no—
1292C22⋊Q8C22×D7311yescharacteristic
1293C22⋊Q8C22×D7311yescharacteristic
1294C22⋊Q8C22×D7311yescharacteristic
1295C22⋊Q8C22×D7311yescharacteristic
1296#121—731no—
1297#121—731no—
1298#121—731no—
1299#121—731no—
1300#121—731no—
1301#121—731no—
1302#121—731no—
1303#121—731no—
1304#121—731no—
1305#121—731no—
1306#121—731no—
1307#121—731no—
1308#121—731no—
1309#121—731no—
1310#121—1461no—
1311#121—1461no—
1312#121—1461no—
1313#121—1461no—
1314#121—1461no—
1315#121—1461no—
1316#121—1461no—
1317#121—1461no—
1318#121—1461no—
1319#121—1461no—
1320#121—1461no—
1321#121—1461no—
1322#121—1461no—
1323#121—1461no—
1324#121—1461no—
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#120—731no—
1334#120—731no—
1335#120—1461no—
1336#120—1461no—
1337#120—1461no—
1338#120—1461no—
1339#120—1461no—
1340#120—1461no—
1341#120—1461no—
1342#120—1461no—
1343#120—1461no—
1344#120—1461no—
1345#120—1461no—
1346#120—1461no—
1347#120—1461no—
1348#120—1461no—
1349C4×Q8—731no—
1350C4×Q8—731no—
1351C4×Q8—731no—
1352C4×Q8—731no—
1353C4×Q8—1461no—
1354C4×Q8—1461no—
1355C4×D4—731no—
1356C4×D4—731no—
1357C4×D4—731no—
1358C4×D4—731no—
1359C4×D4—731no—
1360C4×D4—731no—
1361C4×D4—731no—
1362C4×D4—731no—
1363C4×D4—1461no—
1364C4×D4—1461no—
1365C4×D4—1461no—
1366C4×D4—1461no—
1367C4×D4—1461no—
1368C4×D4—1461no—
1369C4×D4—1461no—
1370C4×D4—1461no—
1371C4×D4—1461no—
1372C4×D4—1461no—
1373C4×D4—1461no—
1374C4×D4—1461no—
1375#117—731no—
1376#117—731no—
1377#117—731no—
1378#117—731no—
1379#117—1461no—
1380#117—1461no—
1381#117—1461no—
1382#117C22×D7311yescharacteristic
1383C2×C4⋊C4—731no—
1384C2×C4⋊C4—1461no—
1385C2×C22⋊C4—1461no—
1386C2×C22⋊C4—1461no—
1387C2×C22⋊C4—1461no—
1388C2×C22⋊C4—1461no—
1389C2×C22⋊C4—1461no—
1390#107—731no—
1391#107—731no—
1392#107—731no—
1393#107—731no—
1394#106—731no—
1395#106—731no—
1396#106—731no—
1397#106—731no—
1398C4⋊C8—731no—
1399C4⋊C8—731no—
1400C4⋊C8—731no—
1401C4⋊C8—731no—
1402#103—731no—
1403#103—731no—
1404#103—731no—
1405#103—731no—
1406#103—731no—
1407#103—731no—
1408#103—731no—
1409#103—731no—
1410#103—731no—
1411#103—731no—
1412#103C22×D7311yescharacteristic
1413#103C22×D7311yescharacteristic
1414#102—731no—
1415#102—731no—
1416#102—731no—
1417#102—731no—
1418#102—731no—
1419#102—731no—
1420#102—731no—
1421#102—731no—
1422#102—731no—
1423#102—731no—
1424#102—731no—
1425#102—731no—
1426#102—731no—
1427#102—731no—
1428#102C22×D7311yescharacteristic
1429#102C22×D7311yescharacteristic
1430#102C22×D7311yescharacteristic
1431#102C22×D7311yescharacteristic
1432#102C22×D7311yescharacteristic
1433#102C22×D7311yescharacteristic
1434C22⋊C8—731no—
1435C22⋊C8—731no—
1436C22⋊C8—731no—
1437C22⋊C8—731no—
1438C22⋊C8—731no—
1439C22⋊C8—731no—
1440C22⋊C8—731no—
1441C22⋊C8—731no—
1442C22⋊C8C22×D7311yescharacteristic
1443C22⋊C8C22×D7311yescharacteristic
1444C22⋊C8C22×D7311yescharacteristic
1445C22⋊C8C22×D7311yescharacteristic
1446#97—731no—
1447#97—731no—
1448C4×C8—731no—
1449C4×C8—731no—
1450C24—21no—
1451C24—21no—
1452C24—21no—
1453C24—731no—
1454C24—1461no—
1455C24—1461no—
1456#41—22no—
1457#41—22no—
1458#41—22no—
1459#41—22no—
1460#41—41no—
1461#41—41no—
1462#41—41no—
1463#41—41no—
1464#41—44no—
1465#41—2924no—
1466#41—2921no—
1467#41—2921no—
1468#41—2924no—
1469#41—2921no—
1470#41—2921no—
1471#41—2921no—
1472#41—2921no—
1473#41—2921no—
1474#41—2921no—
1475#41—1462no—
1476#41—1462no—
1477C2×Q8—21no—
1478C2×Q8—41no—
1479C2×Q8—41no—
1480C2×Q8—2921no—
1481C2×Q8—731no—
1482C2×Q8—1461no—
1483C2×Q8—1461no—
1484C2×Q8—1461no—
1485C2×Q8—1462no—
1486C2×Q8D4×D7311yescharacteristic
1487C2×Q8C23×D7311yescharacteristic
1488C2×Q8C23×D7311yescharacteristic
1489C2×Q8C23×D7311yescharacteristic
1490C2×D4—21no—
1491C2×D4—22no—
1492C2×D4—22no—
1493C2×D4—21no—
1494C2×D4—21no—
1495C2×D4—21no—
1496C2×D4—21no—
1497C2×D4—21no—
1498C2×D4—41no—
1499C2×D4—41no—
1500C2×D4—41no—
1501C2×D4—41no—
1502C2×D4—44no—
1503C2×D4—44no—
1504C2×D4—44no—
1505C2×D4—2921no—
1506C2×D4—2921no—
1507C2×D4—2924no—
1508C2×D4—2921no—
1509C2×D4—5842no—
1510C2×D4—5842no—
1511C2×D4—5842no—
1512C2×D4—731no—
1513C2×D4—731no—
1514C2×D4—731no—
1515C2×D4—731no—
1516C2×D4—731no—
1517C2×D4—731no—
1518C2×D4—731no—
1519C2×D4—1461no—
1520C2×D4—1461no—
1521C2×D4—1461no—
1522C2×D4—1461no—
1523C2×D4—1461no—
1524C2×D4—1461no—
1525C2×D4—1461no—
1526C2×D4—1461no—
1527C2×D4—1461no—
1528C2×D4—1461no—
1529C2×D4—1461no—
1530C2×D4—1461no—
1531C2×D4—1461no—
1532C2×D4—1461no—
1533C2×D4—1462no—
1534C2×D4—1461no—
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×D4D4×D7311yescharacteristic
1544C2×D4D4×D7311yescharacteristic
1545C2×D4D4×D7311yescharacteristic
1546C2×D4C23×D7311yescharacteristic
1547C2×D4C23×D7311yescharacteristic
1548C2×D4C23×D7311yescharacteristic
1549C22×C4—21no—
1550C22×C4—21no—
1551C22×C4—21no—
1552C22×C4—21no—
1553C22×C4—2924no—
1554C22×C4—2921no—
1555C22×C4—2921no—
1556C22×C4—731no—
1557C22×C4—731no—
1558C22×C4—731no—
1559C22×C4—731no—
1560C22×C4—731no—
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×C4C23×D7311yescharacteristic
1573C22×C4C23×D7311yescharacteristic
1574C22×C4C23×D7311yescharacteristic
1575Q16—22no—
1576Q16—22no—
1577Q16—2921no—
1578Q16—2921no—
1579SD16—22no—
1580SD16—22no—
1581SD16—41no—
1582SD16—41no—
1583SD16—41no—
1584SD16—41no—
1585SD16—2921no—
1586SD16—2921no—
1587SD16—2921no—
1588SD16—2921no—
1589SD16—1462no—
1590SD16—1462no—
1591D8—2921no—
1592D8—2921no—
1593D8—2921no—
1594D8—2921no—
1595D8—2921no—
1596D8—2921no—
1597D8—1462no—
1598D8—1462no—
1599M16—41no—
1600M16—2921no—
1601M16—2921no—
1602M16—2921no—
1603C2×C8—41no—
1604C2×C8—2921no—
1605C2×C8—2921no—
1606C2×C8—2921no—
1607C2×C8—731no—
1608C2×C8—731no—
1609C2×C8—731no—
1610C2×C8—731no—
1611C2×C8C23×D7311yescharacteristic
1612C2×C8C23×D7311yescharacteristic
1613C2×C8C23×D7311yescharacteristic
1614C2×C8C23×D7311yescharacteristic
1615C4⋊C4—21no—
1616C4⋊C4—21no—
1617C4⋊C4—21no—
1618C4⋊C4—21no—
1619C4⋊C4—731no—
1620C4⋊C4—731no—
1621C4⋊C4—731no—
1622C4⋊C4—731no—
1623C4⋊C4—731no—
1624C4⋊C4—731no—
1625C4⋊C4—731no—
1626C4⋊C4—731no—
1627C4⋊C4—731no—
1628C4⋊C4—731no—
1629C4⋊C4—1461no—
1630C4⋊C4—1461no—
1631C4⋊C4—1461no—
1632C4⋊C4—1461no—
1633C4⋊C4—1461no—
1634C4⋊C4—1461no—
1635C4⋊C4—1461no—
1636C4⋊C4—1461no—
1637C4⋊C4—1461no—
1638C4⋊C4—1461no—
1639C4⋊C4—1461no—
1640C4⋊C4C23×D7311yescharacteristic
1641C4⋊C4C23×D7311yescharacteristic
1642C22⋊C4—21no—
1643C22⋊C4—21no—
1644C22⋊C4—21no—
1645C22⋊C4—21no—
1646C22⋊C4—21no—
1647C22⋊C4—731no—
1648C22⋊C4—731no—
1649C22⋊C4—731no—
1650C22⋊C4—731no—
1651C22⋊C4—731no—
1652C22⋊C4—731no—
1653C22⋊C4—731no—
1654C22⋊C4—731no—
1655C22⋊C4—731no—
1656C22⋊C4—731no—
1657C22⋊C4—1461no—
1658C22⋊C4—1461no—
1659C22⋊C4—1461no—
1660C22⋊C4—1461no—
1661C22⋊C4—1461no—
1662C22⋊C4—1461no—
1663C22⋊C4—1461no—
1664C22⋊C4—1461no—
1665C22⋊C4—1461no—
1666C22⋊C4—1461no—
1667C22⋊C4—1461no—
1668C22⋊C4—1461no—
1669C22⋊C4—1461no—
1670C22⋊C4—1461no—
1671C22⋊C4—1461no—
1672C22⋊C4—1461no—
1673C22⋊C4—1461no—
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—
1688C42—21no—
1689C42—731no—
1690C42—731no—
1691C42—1461no—
1692C42—1461no—
1693C42—1461no—
1694C42—1461no—
1695C42—1461no—
1696C42—1461no—
1697C42—1461no—
1698C23—21no—
1699C23—21no—
1700C23—21no—
1701C23—42no—
1702C23—42no—
1703C23—42no—
1704C23—81no—
1705C23—81no—
1706C23—81no—
1707C23—81no—
1708C23—81no—
1709C23—81no—
1710C23—2922no—
1711C23—2921no—
1712C23—2921no—
1713C23—2921no—
1714C23—2922no—
1715C23—5841no—
1716C23—5841no—
1717C23—5841no—
1718C23—5841no—
1719C23—731no—
1720C23—731no—
1721C23—1461no—
1722C23—1461no—
1723C23—1461no—
1724C23C2×D4×D7311yescharacteristic
1725C23C2×D4×D7311yescharacteristic
1726C23C2×D4×D7311yescharacteristic
1727Q8—21no—
1728Q8—21no—
1729Q8—21no—
1730Q8—21no—
1731Q8—21no—
1732Q8—41no—
1733Q8—81no—
1734Q8—2922no—
1735Q8—5841no—
1736Q8—5841no—
1737Q8—1461no—
1738Q8—1461no—
1739Q8#1455663612yes—
1740D4—24no—
1741D4—21no—
1742D4—21no—
1743D4—21no—
1744D4—21no—
1745D4—21no—
1746D4—41no—
1747D4—41no—
1748D4—41no—
1749D4—42no—
1750D4—42no—
1751D4—42no—
1752D4—42no—
1753D4—42no—
1754D4—2922no—
1755D4—2922no—
1756D4—2922no—
1757D4—2922no—
1758D4—2922no—
1759D4—2922no—
1760D4—2921no—
1761D4—2921no—
1762D4—2921no—
1763D4—2921no—
1764D4—5841no—
1765D4—5841no—
1766D4—5841no—
1767D4—5841no—
1768D4—5841no—
1769D4—5841no—
1770D4—5841no—
1771D4—5841no—
1772D4—5841no—
1773D4—5841no—
1774D4—5841no—
1775D4—5841no—
1776D4—5841no—
1777D4—5841no—
1778D4—5841no—
1779D4—5841no—
1780D4—5841no—
1781D4—1461no—
1782D4—1461no—
1783D4—1461no—
1784D4—1461no—
1785D4—1461no—
1786D4—1461no—
1787D4#1455663612yes—
1788C2×C4—24no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—21no—
1795C2×C4—21no—
1796C2×C4—21no—
1797C2×C4—21no—
1798C2×C4—21no—
1799C2×C4—21no—
1800C2×C4—42no—
1801C2×C4—42no—
1802C2×C4—81no—
1803C2×C4—2922no—
1804C2×C4—2922no—
1805C2×C4—2922no—
1806C2×C4—2921no—
1807C2×C4—2921no—
1808C2×C4—2922no—
1809C2×C4—2921no—
1810C2×C4—5841no—
1811C2×C4—5841no—
1812C2×C4—5841no—
1813C2×C4—5841no—
1814C2×C4—5841no—
1815C2×C4—5841no—
1816C2×C4—5841no—
1817C2×C4—731no—
1818C2×C4—731no—
1819C2×C4—731no—
1820C2×C4—731no—
1821C2×C4—731no—
1822C2×C4—731no—
1823C2×C4—1461no—
1824C2×C4—1461no—
1825C2×C4—1461no—
1826C2×C4—1461no—
1827C2×C4—1461no—
1828C2×C4—1461no—
1829C2×C4—1461no—
1830C2×C4—1461no—
1831C2×C4—1461no—
1832C2×C4C2×D4×D7311yescharacteristic
1833C2×C4C2×D4×D7311yescharacteristic
1834C2×C4C2×D4×D7311yescharacteristic
1835C2×C4C24×D7311yescharacteristic
1836C8—21no—
1837C8—21no—
1838C8—21no—
1839C8—21no—
1840C8—1461no—
1841C8—1461no—
1842C8—1461no—
1843C8—1461no—
1844C22—21no—
1845C22—21no—
1846C22—22no—
1847C22—21no—
1848C22—21no—
1849C22—21no—
1850C22—21no—
1851C22—21no—
1852C22—21no—
1853C22—21no—
1854C22—41no—
1855C22—41no—
1856C22—41no—
1857C22—41no—
1858C22—41no—
1859C22—41no—
1860C22—41no—
1861C22—41no—
1862C22—162no—
1863C22—162no—
1864C22—162no—
1865C22—2921no—
1866C22—2921no—
1867C22—2921no—
1868C22—2921no—
1869C22—2921no—
1870C22—2921no—
1871C22—2921no—
1872C22—2921no—
1873C22—2921no—
1874C22—5842no—
1875C22—5844no—
1876C22—11682no—
1877C22—1461no—
1878C22—1461no—
1879C22—1461no—
1880C22—1461no—
1881C22—1461no—
1882C22—1461no—
1883C22C22×D4×D7311yescharacteristic
1884C4—21no—
1885C4—22no—
1886C4—21no—
1887C4—21no—
1888C4—41no—
1889C4—41no—
1890C4—41no—
1891C4—41no—
1892C4—2921no—
1893C4—2921no—
1894C4—2921no—
1895C4—2921no—
1896C4—2921no—
1897C4—1461no—
1898C4—1461no—
1899C4—1461no—
1900C4—1461no—
1901C4—1461no—
1902C4—1461no—
1903C4C2×#1455663611yescharacteristic
1904C4C2×#1455663611yescharacteristic
1905C2—41no—
1906C2—41no—
1907C2—41no—
1908C2—42no—
1909C2—81no—
1910C2—81no—
1911C2—2921no—
1912C2—2921no—
1913C2—5841no—
1914C2—5841no—
1915C2—5841no—
1916C2#2262356011yescharacteristic
1917C2#2262470311yescharacteristic
1918C2#2262470911yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3009C2
socleC22×C73C23×D4
hypercenter#3009D73
hypocenterC73#61625
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C2×#41 ◁ #3009

Complements

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

NH ≅ G/Ntype
1. #22624208C2semidirect
2. #22623593C2semidirect
3. #22622169C2semidirect
4. #22622155C2semidirect
5. #22622113C2semidirect
6. #22622088C2semidirect
7. #22622001C2semidirect
8. #22621960C2semidirect
9. #22621877C2semidirect
10. #22621863C2semidirect
11. #22621638C2semidirect
12. #22621609C2semidirect
13. #22621582C2semidirect
14. #22621555C2semidirect
15. #22621510C2semidirect
16. #22621474C2semidirect
17. #22621426C2semidirect
18. #22621415C2semidirect
19. #22621029C2semidirect
20. #22621029C2semidirect
21. #22620813C2semidirect
22. #22620785C2semidirect
23. #22620748C2semidirect
24. #22620699C2semidirect
25. #22620201C2semidirect
26. #22620194C2semidirect
27. #22619199C2semidirect
28. #22619174C2semidirect
29. #22619152C2semidirect
30. #22618974C2semidirect
31. C73×#3009C2semidirect
32. C2×#41×D73C22semidirect
33. C2×#14556623C22semidirect
34. C2×#14556618C22semidirect
35. C2×#14556616C22semidirect
36. C2×#14556614C22semidirect
37. C2×#14556612C22semidirect
38. C22×#11924013C22semidirect
42. #17989308C22semidirect
43. #17989308C22semidirect
44. #17989300C22semidirect
45. #17989300C22semidirect
48. #17989256C22semidirect
49. #17989248C22semidirect
50. #17989248C22semidirect
52. #17989244C22semidirect
56. #17989231C22semidirect
57. #17989228C22semidirect
58. #17989228C22semidirect
62. D4×C22⋊D73C22semidirect
65. #17989210C22semidirect
66. #17989210C22semidirect
72. #17989154C22semidirect
73. #17989151C22semidirect
74. #17989100C22semidirect
75. #17989100C22semidirect
79. C2×#14556562C22semidirect
80. #17989070C22semidirect
81. #17988973C22semidirect
82. #17988973C22semidirect
83. #17988968C22semidirect
84. #17988968C22semidirect
85. #17988945C22semidirect
86. #17988945C22semidirect
87. #17988932C22semidirect
88. #17988932C22semidirect
89. #17988929C22semidirect
90. #17988928C22semidirect
91. #17988920C22semidirect
92. #17988915C22semidirect
93. #17988912C22semidirect
94. #17988911C22semidirect
95. #17988910C22semidirect
96. #17988910C22semidirect
97. #17988909C22semidirect
98. #17988909C22semidirect
99. #17988906C22semidirect
100. #17988901C22semidirect
101. #17988880C22semidirect
102. #17988875C22semidirect
103. #17988870C22semidirect
104. #17988865C22semidirect
105. #17988843C22semidirect
106. #17988840C22semidirect
107. #17988839C22semidirect
108. #17988839C22semidirect
109. #17988835C22semidirect
110. #17988833C22semidirect
111. #17988830C22semidirect
112. #17988830C22semidirect
113. #17988826C22semidirect
114. #17988823C22semidirect
115. #17988822C22semidirect
116. #17988822C22semidirect
117. #17988818C22semidirect
118. #17988816C22semidirect
119. #17988813C22semidirect
120. #17988813C22semidirect
121. #17988811C22semidirect
122. #17988811C22semidirect
123. #17988807C22semidirect
124. #17988807C22semidirect
125. #17988804C22semidirect
126. #17988804C22semidirect
127. #17988801C22semidirect
128. #17988801C22semidirect
129. #17988785C22semidirect
130. #17988785C22semidirect
131. #17988781C22semidirect
132. #17988781C22semidirect
133. #17988748C22semidirect
134. #17988747C22semidirect
135. #17988747C22semidirect
136. #17988746C22semidirect
137. #17988743C22semidirect
138. #17988741C22semidirect
139. #17988740C22semidirect
140. #17988736C22semidirect
141. #17988735C22semidirect
142. #17988734C22semidirect
143. #17988734C22semidirect
144. #17988733C22semidirect
147. #17988732C22semidirect
148. #17988732C22semidirect
149. #17988731C22semidirect
150. #17988731C22semidirect
151. #17988731C22semidirect
152. #17988731C22semidirect
153. #17988727C22semidirect
154. #17988726C22semidirect
155. #17988723C22semidirect
156. #17988722C22semidirect
157. #17988721C22semidirect
158. #17988721C22semidirect
159. #17988721C22semidirect
160. #17988721C22semidirect
161. #17988696C22semidirect
162. #17988694C22semidirect
163. #17988690C22semidirect
164. #17988688C22semidirect
165. Q16×Dic73C22semidirect
166. SD16×Dic73C22semidirect
167. #17988672C22semidirect
168. #17988667C22semidirect
169. #17988663C22semidirect
170. #17988662C22semidirect
171. #17988661C22semidirect
172. #17988658C22semidirect
173. #17988656C22semidirect
174. #17988655C22semidirect
175. C8×C22⋊D73C22semidirect
176. #17988650C22semidirect
177. #17988645C22semidirect
178. #17988645C22semidirect
179. #17988594C22semidirect
180. #17988592C22semidirect
181. #17988590C22semidirect
182. #17988583C22semidirect
183. #17988582C22semidirect
184. #17988580C22semidirect
185. #17988554C22semidirect
186. #17988549C22semidirect
187. C22⋊C8×D73C22semidirect
189. C2×#137×C73C22semidirect
190. C22×SD16×C73C22semidirect
191. #536×C73C22semidirect
192. #452×C73C22semidirect
193. #452×C73C22semidirect
194. #452×C73C22semidirect
195. #452×C73C22semidirect
196. #450×C73C22semidirect
197. #450×C73C22semidirect
198. #450×C73C22semidirect
199. #450×C73C22semidirect
200. #418×C73C22semidirect
201. #416×C73C22semidirect
202. #408×C73C22semidirect
986. #3009D73semidirect
991. C73#61625semidirect
995. C2×#137C2×D73semidirect
1000. C22×SD16C2×D73semidirect
1034. #536C2×D73semidirect
1101. #452C2×D73semidirect
1102. #452C2×D73semidirect
1103. #452C2×D73semidirect
1104. #452C2×D73semidirect
1109. #450C2×D73semidirect
1110. #450C2×D73semidirect
1111. #450C2×D73semidirect
1112. #450C2×D73semidirect
1154. #418C2×D73semidirect
1158. #416C2×D73semidirect
1160. #408C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226242082
#226235932
#226221692
#226221552
#226221132
#226220882
#226220012
#226219602
#226218772
#226218632
#226216382
#226216092
#226215822
#226215552
#226215102
#226214742
#226214262
#226214152
#226210292
#226208132
#226207852
#226207482
#226206992
#226202012
#226201942
#226191992
#226191742
#226191522
#226189742
C73×#30092
#6162573