Finite Group Databasebeta

← #33962765

Subgroups — #33962765

Order 18688.

2138 conjugacy classes of subgroups.

The subgroup lattice has 1840 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623491C211yesmaximal, characteristic, complemented
2#41×C22⋊D73C211yesmaximal, characteristic, complemented
3#22622121C211yesmaximal, characteristic, complemented
4#22622106C211yesmaximal, characteristic, complemented
5#22622091C211yesmaximal, characteristic, complemented
6#22622076C211yesmaximal, characteristic, complemented
7#22622061C211yesmaximal, characteristic, complemented
8#22622046C211yesmaximal, characteristic, complemented
9#22622031C211yesmaximal, characteristic, complemented
10#22622016C211yesmaximal, characteristic, complemented
11#22622001C211yesmaximal, characteristic, complemented
12#22621986C211yesmaximal, characteristic, complemented
13#22621971C211yesmaximal, characteristic, complemented
14#22621956C211yesmaximal, characteristic, complemented
15#22621941C211yesmaximal, characteristic, complemented
16#22621926C211yesmaximal, characteristic, complemented
17#22621911C211yesmaximal, characteristic, complemented
18#22621896C211yesmaximal, characteristic, complemented
19#22620274C211yesmaximal, characteristic, complemented
20#22619846C211yesmaximal, characteristic, complemented
21#22619842C211yesmaximal, characteristic, complemented
22#22619715C211yesmaximal, characteristic, complemented
23#22619536C211yesmaximal, characteristic, complemented
24#22619509C211yesmaximal, characteristic, complemented
25#22619382C211yesmaximal, characteristic, complemented
26#22619145C211yesmaximal, characteristic, complemented
27#22618732C211yesmaximal, characteristic, complemented
28C2×#17988655C211yesmaximal, characteristic, complemented
29#22618446C211yesmaximal, characteristic, complemented
30C2×#17988583C211yesmaximal, characteristic, complemented
31C73×#3002C211yesmaximal, characteristic, complemented
32C2×#41×D73C2211yescharacteristic
33C2×#14556611C2211yescharacteristic, complemented
34C22×#11924011C2211yescharacteristic, complemented
35C23×#10596831C2211yescharacteristic, complemented
36#17989308C2211yescharacteristic, complemented
37#17989301C2211yescharacteristic, complemented
38#17989295C2211yescharacteristic, complemented
39#17989289C2211yescharacteristic
40#17989284C2211yescharacteristic, complemented
41#17989279C2211yescharacteristic
42#17989274—21no—
43#17989271C2211yescharacteristic, complemented
44#17989268—21no—
45#17989260—21no—
46#17989256C2211yescharacteristic
47Q8×C22⋊D73C2211yescharacteristic
48#17989248C2211yescharacteristic
49#17989244C2211yescharacteristic
50#17989237C2211yescharacteristic, complemented
51#17989236—21no—
52#17989236C2211yescharacteristic
53#17989231—21no—
54#17989231C2211yescharacteristic
55#17989225—21no—
56#17989225C2211yescharacteristic
57#17989224—21no—
58D4×C22⋊D73—21no—
59D4×C22⋊D73C2211yescharacteristic
60#17989140C2211yescharacteristic, complemented
61#17989133—21no—
62#17989133C2211yescharacteristic
63#17989119—21no—
64#17989117—21no—
65#17989117—21no—
66#17989098—21no—
67#17989098C2211yescharacteristic
68#17989094—21no—
69#17989094C2211yescharacteristic
70#17989094C2211yescharacteristic, complemented
71#41×Dic73C2211yescharacteristic
72#41×Dic73C2211yescharacteristic, complemented
73C4×#11924027—21no—
74C2×C4×C22⋊D73—21no—
75C2×C4×C22⋊D73C2211yescharacteristic
76C2×#14556550C2211yescharacteristic, complemented
77#117×D73C2211yescharacteristic, complemented
78#17988954C2211yescharacteristic, complemented
79#17988954C2211yescharacteristic, complemented
80#17988950C2211yescharacteristic, complemented
81#17988950C2211yescharacteristic, complemented
82#17988948C2211yescharacteristic, complemented
83#17988948C2211yescharacteristic, complemented
84#17988945C2211yescharacteristic, complemented
85#17988945C2211yescharacteristic, complemented
86#17988929C2211yescharacteristic, complemented
87#17988929C2211yescharacteristic, complemented
88#17988927C2211yescharacteristic, complemented
89#17988926C2211yescharacteristic, complemented
90#17988923C2211yescharacteristic, complemented
91#17988921C2211yescharacteristic, complemented
92#17988918C2211yescharacteristic, complemented
93#17988916C2211yescharacteristic, complemented
94#17988912C2211yescharacteristic, complemented
95#17988912C2211yescharacteristic, complemented
96#17988910C2211yescharacteristic, complemented
97#17988909C2211yescharacteristic, complemented
98#17988906C2211yescharacteristic, complemented
99#17988904C2211yescharacteristic, complemented
100#17988901C2211yescharacteristic, complemented
101#17988899C2211yescharacteristic, complemented
102#17988896C2211yescharacteristic, complemented
103#17988892C2211yescharacteristic, complemented
104#17988889C2211yescharacteristic, complemented
105#17988885C2211yescharacteristic, complemented
106#17988880C2211yescharacteristic, complemented
107#17988875C2211yescharacteristic, complemented
108#17988870C2211yescharacteristic, complemented
109#17988865C2211yescharacteristic, complemented
110#17988842C2211yescharacteristic, complemented
111#17988842C2211yescharacteristic, complemented
112#17988837C2211yescharacteristic, complemented
113#17988837C2211yescharacteristic, complemented
114#17988830C2211yescharacteristic, complemented
115#17988830C2211yescharacteristic, complemented
116#17988830C2211yescharacteristic, complemented
117#17988830C2211yescharacteristic, complemented
118#17988826C2211yescharacteristic, complemented
119#17988826C2211yescharacteristic, complemented
120#17988821C2211yescharacteristic, complemented
121#17988821C2211yescharacteristic, complemented
122#17988818C2211yescharacteristic, complemented
123#17988818C2211yescharacteristic, complemented
124#17988814C2211yescharacteristic, complemented
125#17988814C2211yescharacteristic, complemented
126#17988811C2211yescharacteristic, complemented
127#17988807C2211yescharacteristic, complemented
128#17988804C2211yescharacteristic, complemented
129#17988800C2211yescharacteristic, complemented
130#17988795C2211yescharacteristic, complemented
131#17988790C2211yescharacteristic, complemented
132#17988785C2211yescharacteristic, complemented
133#17988780C2211yescharacteristic, complemented
134#17988748C2211yescharacteristic, complemented
135#17988746C2211yescharacteristic, complemented
136#17988741C2211yescharacteristic, complemented
137#17988736C2211yescharacteristic, complemented
138#17988731C2211yescharacteristic, complemented
139#17988729C2211yescharacteristic, complemented
140#17988724C2211yescharacteristic, complemented
141#17988719C2211yescharacteristic, complemented
142#17988699C2211yescharacteristic, complemented
143#17988699C2211yescharacteristic, complemented
144#17988694C2211yescharacteristic, complemented
145#17988694C2211yescharacteristic, complemented
146#17988688C2211yescharacteristic, complemented
147#17988688C2211yescharacteristic, complemented
148#17988688C2211yescharacteristic, complemented
149#17988688C2211yescharacteristic, complemented
150#17988655C2211yescharacteristic
151#17988655C2211yescharacteristic
152#17988655C2211yescharacteristic, complemented
153#17988655C2211yescharacteristic, complemented
154#17988655C2211yescharacteristic, complemented
155#17988655C2211yescharacteristic, complemented
156#17988655C2211yescharacteristic, complemented
157#17988655C2211yescharacteristic, complemented
158#17988625C2211yescharacteristic, complemented
159#17988625C2211yescharacteristic, complemented
160#17988623C2211yescharacteristic, complemented
161C2×#14556520C2211yescharacteristic, complemented
162#17988594C2211yescharacteristic, complemented
163#17988594C2211yescharacteristic, complemented
164#17988590C2211yescharacteristic, complemented
165#17988590C2211yescharacteristic, complemented
166#17988587C2211yescharacteristic, complemented
167#17988587C2211yescharacteristic, complemented
168#17988585C2211yescharacteristic, complemented
169#17988585C2211yescharacteristic, complemented
170#17988584C2211yescharacteristic, complemented
171#17988584C2211yescharacteristic, complemented
172#17988583C2211yescharacteristic
173#17988583C2211yescharacteristic
174#17988583C2211yescharacteristic, complemented
175#17988583C2211yescharacteristic, complemented
176#17988583C2211yescharacteristic, complemented
177#17988583C2211yescharacteristic, complemented
178#17988583C2211yescharacteristic, complemented
179#17988583C2211yescharacteristic, complemented
180#17988583C2211yescharacteristic, complemented
181#17988581C2211yescharacteristic, complemented
182C2×#14556515C2211yescharacteristic, complemented
183C2×#14556515C2211yescharacteristic, complemented
184C2×#14556512C2211yescharacteristic, complemented
185C2×#14556512C2211yescharacteristic, complemented
186C2×#14556503C2211yescharacteristic, complemented
187C2×#14556501C2211yescharacteristic, complemented
188C22×#41×C73C2211yescharacteristic
189C2×#135×C73C2211yescharacteristic
190C2×#135×C73C2211yescharacteristic, complemented
191#525×C73C2211yescharacteristic, complemented
192#452×C73C2211yescharacteristic, complemented
193#452×C73C2211yescharacteristic, complemented
194#451×C73C2211yescharacteristic, complemented
195#450×C73C2211yescharacteristic, complemented
196#449×C73C2211yescharacteristic, complemented
197#449×C73C2211yescharacteristic, complemented
198#448×C73C2211yescharacteristic, complemented
199#447×C73C2211yescharacteristic, complemented
200#416×C73C2211yescharacteristic
201#416×C73C2211yescharacteristic, complemented
202C2×C22⋊C8×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924028—21no—
205C2×#11924028C2311yescharacteristic
206C2×#11924027—21no—
207C2×#11924027—21no—
208C2×#11924027C2311yescharacteristic
209#41×D73—24no—
210#41×D73—42no—
211C2×Q8×D73C2311yescharacteristic
212C22×C22⋊D73—21no—
213C22×C22⋊D73D411yescharacteristic
214C2×D4×D73—21no—
215C2×D4×D73C2311yescharacteristic
216C22×C4×D73—21no—
217C22×C4×D73C2311yescharacteristic
218#14556611—42no—
219C2×#11924018C2311yescharacteristic
220C2×#11924016C2311yescharacteristic
221C2×#11924015C2311yescharacteristic
222C2×#11924013C2311yescharacteristic
223C2×#11924011—42no—
224C2×#11924011C2311yescharacteristic
225C2×#11924011C2311yescharacteristic
226C2×#11924011C2311yescharacteristic
227C2×#11924011C2311yescharacteristic
228C22×#10596831—42no—
229C22×#10596831C2311yescharacteristic
230C22×#10596831C2311yescharacteristic
231C22×#10596831C2311yescharacteristic
232C22×#10596831C2311yescharacteristic
233C22×#10596831C2311yescharacteristic
234C22×#10596831C2311yescharacteristic
235#14556590C2311yescharacteristic
236#14556590C2311yescharacteristic
237#14556589—21no—
238#14556589C2311yescharacteristic
239#14556587—21no—
240#14556587C2311yescharacteristic
241#14556586—21no—
242#14556586—21no—
243#14556584—21no—
244#14556584—21no—
245#14556584—21no—
246#14556584—21no—
247#14556582—21no—
248#14556582C2311yescharacteristic
249#14556582C2311yescharacteristic
250#14556581—21no—
251#14556581—21no—
252#14556580—21no—
253#14556580C2311yescharacteristic
254#14556578—21no—
255#14556578—21no—
256#14556578C2311yescharacteristic
257#14556577—21no—
258#14556577—21no—
259#14556575—21no—
260#14556575—21no—
261#14556574—21no—
262#14556574—21no—
263#14556574—21no—
264#14556573—21no—
265#14556573—21no—
266#14556572—21no—
267#14556572—21no—
268#14556572—21no—
269#14556572—21no—
270#14556572—21no—
271#14556572—21no—
272#14556571—21no—
273#14556570—21no—
274#14556570—21no—
275#14556570C2311yescharacteristic
276#14556570C2311yescharacteristic
277#14556568—21no—
278#14556568—21no—
279#14556568—21no—
280#14556568—21no—
281#14556567—21no—
282#14556567—21no—
283#14556567C2311yescharacteristic
284#14556567C2311yescharacteristic
285#14556567C2311yescharacteristic
286#14556567C2311yescharacteristic
287#14556565—21no—
288#14556565—21no—
289#14556565C2311yescharacteristic
290#14556565C2311yescharacteristic
291#14556563—21no—
292#14556563—21no—
293#14556563—21no—
294#14556563—21no—
295#14556563—21no—
296#14556563—21no—
297#14556563—21no—
298#14556563—21no—
299#14556562—21no—
300#14556562—21no—
301#14556562—21no—
302#14556562C2311yescharacteristic
303#14556562C2311yescharacteristic
304#14556562C2311yescharacteristic
305#14556562C2311yescharacteristic
306#14556560—21no—
307#14556560—21no—
308#14556560—21no—
309#14556559—21no—
310#14556559—21no—
311#14556559—21no—
312#14556559—21no—
313Q8×Dic73C2311yescharacteristic
314Q8×Dic73C2311yescharacteristic
315Q8×Dic73C2311yescharacteristic
316Q8×Dic73C2311yescharacteristic
317C4×Dic146—21no—
318C4×Dic146—21no—
319#14556556—21no—
320D4×Dic73—21no—
321D4×Dic73—21no—
322D4×Dic73—21no—
323D4×Dic73—21no—
324D4×Dic73—21no—
325D4×Dic73C2311yescharacteristic
326D4×Dic73C2311yescharacteristic
327D4×Dic73C2311yescharacteristic
328D4×Dic73C2311yescharacteristic
329C4×C22⋊D73—21no—
330C4×C22⋊D73—21no—
331C4×C22⋊D73—21no—
332C4×C22⋊D73—21no—
333C4×C22⋊D73—21no—
334C4×C22⋊D73—21no—
335C4×C22⋊D73—21no—
336C4×C22⋊D73—21no—
337C4×C22⋊D73—21no—
338C4×C22⋊D73—21no—
339C4×C22⋊D73—21no—
340C4×C22⋊D73—21no—
341C4×C22⋊D73D411yescharacteristic
342C4×C22⋊D73D411yescharacteristic
343C4×C22⋊D73D411yescharacteristic
344C4×C22⋊D73D411yescharacteristic
345C4×C22⋊D73C2311yescharacteristic
346C4×C22⋊D73C2311yescharacteristic
347C4×C22⋊D73C2311yescharacteristic
348C4×C22⋊D73C2311yescharacteristic
349#14556551—21no—
350#14556551—21no—
351#14556550—21no—
352#14556550—21no—
353#14556550—21no—
354#14556550—21no—
355#14556550C2311yescharacteristic
356#14556550C2311yescharacteristic
357#14556550C2311yescharacteristic
358#14556550C2311yescharacteristic
359#14556550C2311yescharacteristic
360#14556549—21no—
361#14556549C2311yescharacteristic
362#14556549C2311yescharacteristic
363#14556548—21no—
364#14556547—21no—
365#14556547—21no—
366#14556547—21no—
367C2×C4⋊Dic73C2311yescharacteristic
368C2×C4⋊Dic73C2311yescharacteristic
369C2×#11924007—21no—
370C2×#11924007D411yescharacteristic
371C4⋊C4×D73C2311yescharacteristic
372C4⋊C4×D73C2311yescharacteristic
373C2×C22⋊Dic73—21no—
374C2×C22⋊Dic73—21no—
375C2×C22⋊Dic73D411yescharacteristic
376C2×#11924005—21no—
377C2×#11924005D411yescharacteristic
378C22⋊C4×D73—21no—
379C2×C4×Dic73—21no—
380C2×C4×Dic73—21no—
381C2×C4×Dic73—21no—
382C2×C4×Dic73C2311yescharacteristic
383C42×D73—21no—
384#14556525C2311yescharacteristic
385#14556525C2311yescharacteristic
386#14556525C2311yescharacteristic
387#14556525C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556523C2311yescharacteristic
391#14556523C2311yescharacteristic
392#14556523C2311yescharacteristic
393#14556523C2311yescharacteristic
394#14556522C2311yescharacteristic
395#14556522C2311yescharacteristic
396#14556520C2311yescharacteristic
397#14556520C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556516C2311yescharacteristic
401#14556516C2311yescharacteristic
402#14556516C2311yescharacteristic
403#14556516C2311yescharacteristic
404#14556515C2311yescharacteristic
405#14556515C2311yescharacteristic
406#14556515C2311yescharacteristic
407#14556515C2311yescharacteristic
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#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556512C2311yescharacteristic
427#14556512C2311yescharacteristic
428#14556512C2311yescharacteristic
429#14556512C2311yescharacteristic
430#14556511C2311yescharacteristic
431#14556511C2311yescharacteristic
432#14556503C2311yescharacteristic
433#14556503C2311yescharacteristic
434#14556503C2311yescharacteristic
435#14556503C2311yescharacteristic
436#14556501C2311yescharacteristic
437#14556501C2311yescharacteristic
438#14556501C2311yescharacteristic
439#14556501C2311yescharacteristic
440C2×#41×C73—21no—
441C2×#41×C73—21no—
442C2×#41×C73—24no—
443C2×#41×C73—42no—
444C2×#41×C73C2311yescharacteristic
445C2×#41×C73C2311yescharacteristic
446C2×#41×C73C2311yescharacteristic
447C2×#41×C73C2311yescharacteristic
448C2×#41×C73C2311yescharacteristic
449C22×Q8×C73C2311yescharacteristic
450C22×D4×C73—21no—
451C22×D4×C73C2311yescharacteristic
452C23×C4×C73—21no—
453C23×C4×C73C2311yescharacteristic
454#135×C73—24no—
455#135×C73—42no—
456C2×Q16×C73C2311yescharacteristic
457C2×Q16×C73C2311yescharacteristic
458C2×SD16×C73C2311yescharacteristic
459C2×SD16×C73C2311yescharacteristic
460C2×SD16×C73C2311yescharacteristic
461C2×SD16×C73C2311yescharacteristic
462C2×D8×C73C2311yescharacteristic
463C2×D8×C73C2311yescharacteristic
464C22×C8×C73C2311yescharacteristic
465C22×C8×C73C2311yescharacteristic
466#123×C73—21no—
467C22⋊Q8×C73C2311yescharacteristic
468C22⋊Q8×C73C2311yescharacteristic
469#121×C73C2311yescharacteristic
470#121×C73C2311yescharacteristic
471#120×C73—21no—
472C4×D4×C73—21no—
473C4×D4×C73—21no—
474#117×C73C2311yescharacteristic
475#103×C73C2311yescharacteristic
476#103×C73C2311yescharacteristic
477#103×C73C2311yescharacteristic
478#103×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481#102×C73C2311yescharacteristic
482#102×C73C2311yescharacteristic
483C22⋊C8×C73C2311yescharacteristic
484C22⋊C8×C73C2311yescharacteristic
485C22⋊C8×C73C2311yescharacteristic
486C22⋊C8×C73C2311yescharacteristic
487C23×D73—21no—
488C23×D73C2×D411yescharacteristic
489#11924029—22no—
490#11924029—41no—
491#11924028—22no—
492#11924028—22no—
493#11924028—44no—
494#11924027—22no—
495#11924027—41no—
496#11924027—44no—
497#11924027—44no—
498C2×Dic146—21no—
499C2×Dic146—21no—
500C2×Dic146—21no—
501C2×Dic146C2411yescharacteristic
502Q8×D73—22no—
503Q8×D73—41no—
504C2×D292—21no—
505C2×D292C2411yescharacteristic
506C2×C22⋊D73—21no—
507C2×C22⋊D73—21no—
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—42no—
518C2×C22⋊D73—44no—
519C2×C22⋊D73C2×D411yescharacteristic
520C2×C22⋊D73C2×D411yescharacteristic
521C2×C22⋊D73C2×D411yescharacteristic
522C2×C22⋊D73C2×D411yescharacteristic
523D4×D73—22no—
524D4×D73—41no—
525D4×D73—44no—
526C22×Dic73—21no—
527C22×Dic73—21no—
528C22×Dic73—21no—
529C22×Dic73—21no—
530C22×Dic73—21no—
531C22×Dic73—21no—
532C22×Dic73—21no—
533C22×Dic73C2×D411yescharacteristic
534C22×Dic73C2×D411yescharacteristic
535C22×Dic73C2×D411yescharacteristic
536C2×C4×D73—22no—
537C2×C4×D73—22no—
538C2×C4×D73—21no—
539C2×C4×D73—21no—
540C2×C4×D73—21no—
541C2×C4×D73—21no—
542C2×C4×D73—21no—
543C2×C4×D73—44no—
544C2×C4×D73C2×D411yescharacteristic
545C2×C4×D73C2×D411yescharacteristic
546C2×C4×D73C2411yescharacteristic
547C2×C4×D73C2411yescharacteristic
548#11924018—41no—
549#11924016—41no—
550#11924015—41no—
551#11924013—41no—
552#11924011—41no—
553#11924011—41no—
554#11924011—41no—
555#11924011—41no—
556C2×#10596831—22no—
557C2×#10596831—22no—
558C2×#10596831—41no—
559C2×#10596831—41no—
560C2×#10596831—41no—
561C2×#10596831—41no—
562C2×#10596831C2411yescharacteristic
563C2×#10596831C2411yescharacteristic
564C2×#10596831C2411yescharacteristic
565C2×#10596831C2411yescharacteristic
566C4⋊Dic73—21no—
567C4⋊Dic73—21no—
568C4⋊Dic73—21no—
569C4⋊Dic73—21no—
570C4⋊Dic73—21no—
571C4⋊Dic73—21no—
572C4⋊Dic73—21no—
573C4⋊Dic73—21no—
574C4⋊Dic73C2411yescharacteristic
575C4⋊Dic73C2411yescharacteristic
576C4⋊Dic73C2411yescharacteristic
577C4⋊Dic73C2411yescharacteristic
578C4⋊Dic73C2411yescharacteristic
579C4⋊Dic73C2411yescharacteristic
580#11924007—21no—
581#11924007—21no—
582#11924007—21no—
583#11924007—21no—
584#11924007—21no—
585#11924007—21no—
586#11924007—21no—
587#11924007—21no—
588#11924007—21no—
589#11924007—21no—
590#11924007—21no—
591#11924007—21no—
592#11924007—21no—
593#11924007—21no—
594#11924007C2×D411yescharacteristic
595#11924007C2×D411yescharacteristic
596#11924007C2×D411yescharacteristic
597#11924007C2×D411yescharacteristic
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⋊Dic73—21no—
610C22⋊Dic73—21no—
611C22⋊Dic73—21no—
612C22⋊Dic73—21no—
613C22⋊Dic73—21no—
614C22⋊Dic73—21no—
615C22⋊Dic73C2×D411yescharacteristic
616C22⋊Dic73C2×D411yescharacteristic
617C22⋊Dic73C2×D411yescharacteristic
618C22⋊Dic73C2×D411yescharacteristic
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
631#11924005C2×D411yescharacteristic
632#11924005C2×D411yescharacteristic
633C4×Dic73—21no—
634C4×Dic73—21no—
635C4×Dic73—21no—
636C4×Dic73—21no—
637C4×Dic73—21no—
638C4×Dic73—21no—
639C4×Dic73—21no—
640C4×Dic73—21no—
641C4×Dic73—21no—
642C4×Dic73—21no—
643C4×Dic73—21no—
644C4×Dic73C2×D411yescharacteristic
645C4×Dic73C2×D411yescharacteristic
646C4×Dic73C2411yescharacteristic
647C4×Dic73C2411yescharacteristic
648C24×C73—21no—
649C24×C73C2×D411yescharacteristic
650#41×C73—22no—
651#41×C73—22no—
652#41×C73—22no—
653#41×C73—22no—
654#41×C73—22no—
655#41×C73—22no—
656#41×C73—22no—
657#41×C73—44no—
658#41×C73—41no—
659#41×C73—41no—
660#41×C73—44no—
661#41×C73#4114yescomplemented
662C2×Q8×C73—21no—
663C2×Q8×C73—22no—
664C2×Q8×C73—41no—
665C2×Q8×C73C2411yescharacteristic
666C2×Q8×C73C2411yescharacteristic
667C2×Q8×C73C2411yescharacteristic
668C2×D4×C73—21no—
669C2×D4×C73—22no—
670C2×D4×C73—21no—
671C2×D4×C73—21no—
672C2×D4×C73—21no—
673C2×D4×C73—21no—
674C2×D4×C73—21no—
675C2×D4×C73—21no—
676C2×D4×C73—21no—
677C2×D4×C73—41no—
678C2×D4×C73—44no—
679C2×D4×C73C2411yescharacteristic
680C2×D4×C73C2411yescharacteristic
681C2×D4×C73C2411yescharacteristic
682C22×C4×C73—21no—
683C22×C4×C73—22no—
684C22×C4×C73—22no—
685C22×C4×C73—21no—
686C22×C4×C73—21no—
687C22×C4×C73—21no—
688C22×C4×C73—21no—
689C22×C4×C73—21no—
690C22×C4×C73—44no—
691C22×C4×C73C2×D411yescharacteristic
692C22×C4×C73C2×D411yescharacteristic
693C22×C4×C73C2×D411yescharacteristic
694C22×C4×C73C2411yescharacteristic
695C22×C4×C73C2411yescharacteristic
696C22×C4×C73C2411yescharacteristic
697Q16×C73—22no—
698Q16×C73—41no—
699SD16×C73—22no—
700SD16×C73—22no—
701SD16×C73—41no—
702SD16×C73—41no—
703D8×C73—22no—
704D8×C73—41no—
705C2×C8×C73—22no—
706C2×C8×C73—22no—
707C2×C8×C73C2411yescharacteristic
708C2×C8×C73C2411yescharacteristic
709C2×C8×C73C2411yescharacteristic
710C2×C8×C73C2411yescharacteristic
711C4⋊C4×C73—21no—
712C4⋊C4×C73—21no—
713C4⋊C4×C73C2411yescharacteristic
714C4⋊C4×C73C2411yescharacteristic
715C22⋊C4×C73—21no—
716C22⋊C4×C73—21no—
717C22⋊C4×C73—21no—
718C22⋊C4×C73—21no—
719C22⋊C4×C73—21no—
720C42×C73—21no—
721C23×C73—22no—
722C23×C73—22no—
723C23×C73—21no—
724C23×C73—21no—
725C23×C73—21no—
726C23×C73—41no—
727C23×C73—42no—
728C23×C73—42no—
729C23×C73—81no—
730C23×C73C22×D411yescharacteristic
731C23×C73C22×D411yescharacteristic
732C23×C73C22×D411yescharacteristic
733C22×D73—22no—
734C22×D73—21no—
735C22×D73—41no—
736C22×D73—41no—
737C22×D73—42no—
738C22×D73—42no—
739C22×D73—81no—
740C22×D73C22×D411yescharacteristic
741C22×D73C22×D411yescharacteristic
742Q8×C73—21no—
743Q8×C73—21no—
744Q8×C73—21no—
745Q8×C73—21no—
746Q8×C73—21no—
747Q8×C73—42no—
748Q8×C73C2×#4112yes—
749D4×C73—24no—
750D4×C73—21no—
751D4×C73—21no—
752D4×C73—21no—
753D4×C73—21no—
754D4×C73—21no—
755D4×C73—42no—
756D4×C73—42no—
757D4×C73—42no—
758D4×C73—42no—
759D4×C73—42no—
760D4×C73—42no—
761D4×C73—81no—
762D4×C73C2×#4112yes—
763C2×C4×C73—22no—
764C2×C4×C73—21no—
765C2×C4×C73—22no—
766C2×C4×C73—22no—
767C2×C4×C73—24no—
768C2×C4×C73—21no—
769C2×C4×C73—21no—
770C2×C4×C73—21no—
771C2×C4×C73—21no—
772C2×C4×C73—21no—
773C2×C4×C73—21no—
774C2×C4×C73—21no—
775C2×C4×C73—21no—
776C2×C4×C73—42no—
777C2×C4×C73—42no—
778C2×C4×C73—42no—
779C2×C4×C73—42no—
780C2×C4×C73—42no—
781C2×C4×C73C22×D411yescharacteristic
782C2×C4×C73C22×D411yescharacteristic
783C2×C4×C73C22×D411yescharacteristic
784C2×C4×C73C2×#4112yes—
785C2×C4×C73H(5,𝔽2)12yes—
786C2×C4×C73C2511yescharacteristic
787C22⋊D73—22no—
788C22⋊D73—22no—
789C22⋊D73—41no—
790C22⋊D73—41no—
791C22⋊D73—42no—
792C22⋊D73—42no—
793C22⋊D73—42no—
794C22⋊D73—42no—
795C22⋊D73—42no—
796C22⋊D73—42no—
797C22⋊D73—42no—
798C22⋊D73—81no—
799C22⋊D73—81no—
800C22⋊D73—81no—
801C22⋊D73—81no—
802C2×Dic73—22no—
803C2×Dic73—21no—
804C2×Dic73—21no—
805C2×Dic73—21no—
806C2×Dic73—21no—
807C2×Dic73—21no—
808C2×Dic73—21no—
809C2×Dic73—21no—
810C2×Dic73—41no—
811C2×Dic73—41no—
812C2×Dic73—42no—
813C2×Dic73—42no—
814C2×Dic73—42no—
815C2×Dic73—42no—
816C2×Dic73—81no—
817C2×Dic73—81no—
818C2×Dic73—81no—
819C2×Dic73C22×D411yescharacteristic
820C2×Dic73C22×D411yescharacteristic
821C2×Dic73C22×D411yescharacteristic
822C2×Dic73C22×D411yescharacteristic
823C2×Dic73C22×D411yescharacteristic
824C2×Dic73C22×D411yescharacteristic
825D292—21no—
826D292—21no—
827D292—42no—
828C4×D73—22no—
829C4×D73—22no—
830C4×D73—21no—
831C4×D73—21no—
832C4×D73—21no—
833C4×D73—21no—
834C4×D73—42no—
835C4×D73—42no—
836C4×D73—42no—
837C4×D73—42no—
838C4×D73—81no—
839Dic146—21no—
840Dic146—21no—
841Dic146—42no—
842Dic146—42no—
843Dic146—81no—
844C8×C73—21no—
845C8×C73—21no—
846C8×C73—21no—
847C8×C73—21no—
848#10596831—21no—
849#10596831—21no—
850#10596831—21no—
851#10596831—21no—
852C22×C73—21no—
853C22×C73—21no—
854C22×C73—21no—
855C22×C73—21no—
856C22×C73—21no—
857C22×C73—22no—
858C22×C73—21no—
859C22×C73—21no—
860C22×C73—44no—
861C22×C73—41no—
862C22×C73—41no—
863C22×C73—41no—
864C22×C73—41no—
865C22×C73—41no—
866C22×C73—41no—
867C22×C73—41no—
868C22×C73—41no—
869C22×C73—84no—
870C22×C73#54612yes—
871C22×C73#57512yes—
872C22×C73C23×D411yescharacteristic
873C2×D73—21no—
874C2×D73—21no—
875C2×D73—21no—
876C2×D73—21no—
877C2×D73—21no—
878C2×D73—21no—
879C2×D73—41no—
880C2×D73—41no—
881C2×D73—41no—
882C2×D73—82no—
883C2×D73—84no—
884C4×C73—22no—
885C4×C73—21no—
886C4×C73—21no—
887C4×C73—41no—
888C4×C73—41no—
889C4×C73—41no—
890C4×C73—41no—
891C4×C73#54612yes—
892C4×C73C22×#4111yescharacteristic
893C4×C73C2×H(5,𝔽2)11yescharacteristic
894Dic73—21no—
895Dic73—21no—
896Dic73—21no—
897Dic73—21no—
898Dic73—21no—
899Dic73—21no—
900Dic73—41no—
901Dic73—41no—
902Dic73—41no—
903Dic73—41no—
904Dic73—41no—
905Dic73—41no—
906Dic73—41no—
907#61141—731nomaximal, Sylow
908C2×C73—22no—
909C2×C73—22no—
910C2×C73—42no—
911C2×C73—41no—
912C2×C73—81no—
913C2×C73—81no—
914C2×C73C2×#54611yescharacteristic
915C2×C73C2×#57511yescharacteristic
916C2×C73#358411yescharacteristic
917D73—41no—
918D73—41no—
919D73—81no—
920#3475—731no—
921D4×#41—731no—
922#3321—731no—
923#3320—731no—
924#3319—731no—
925#3318—731no—
926#3317—731no—
927#3316—731no—
928#3315—731no—
929#3314—731no—
930#3313—731no—
931#3312—731no—
932#3311—731no—
933#3310—731no—
934#3309—731no—
935#3308—731no—
936#3307—731no—
937#3306—731no—
938#3135—731no—
939#3091—731no—
940#3091—731no—
941#3076—731no—
942#3054—731no—
943#3050—731no—
944#3035—731no—
945#3002—731no—
946#3002D7311yescharacteristic, complemented
947#2943—731no—
948C2×#435—731no—
949#2896—731no—
950C2×#416—731no—
951C73#6114111yescharacteristic, complemented, Sylow
952C22×#41—731no—
953C22×#41C2×D7311yescharacteristic
954C2×#135—731no—
955C2×#135C2×D7311yescharacteristic
956C2×#135C2×D7311yescharacteristic, complemented
957C22×M16—731no—
958C23×C8—731no—
959#556—731no—
960#555—731no—
961#554—731no—
962#553—731no—
963#553—731no—
964#552—731no—
965#552—731no—
966#552—1461no—
967#551—1461no—
968#551—1461no—
969#550—731no—
970D4×Q8—731no—
971#548—731no—
972#548—731no—
973#547—731no—
974#547—731no—
975#547—1461no—
976#546—731no—
977#546—731no—
978#546—1461no—
979#546—1461no—
980#546—1461no—
981D42—731no—
982D42—1461no—
983#533—731no—
984#532—731no—
985#532—1461no—
986#529—1461no—
987#529—1461no—
988#529—1461no—
989#525—731no—
990#525—731no—
991#525—731no—
992#525—1461no—
993#525—1461no—
994#525C2×D7311yescharacteristic, complemented
995C4×#41—731no—
996C4×#41—731no—
997C4×#41—1461no—
998C2×C4×D4—731no—
999C2×C4×D4—1461no—
1000C2×#117—731no—
1001C2×#117—731no—
1002#491—731no—
1003#491—731no—
1004#490—731no—
1005#490—731no—
1006#489—731no—
1007#489—731no—
1008#489—731no—
1009#489—731no—
1010#485—731no—
1011#485—731no—
1012#485—731no—
1013#485—731no—
1014#484—731no—
1015#484—731no—
1016#483—731no—
1017#483—731no—
1018#482—731no—
1019#482—731no—
1020#482—731no—
1021#482—731no—
1022#481—731no—
1023#481—731no—
1024#480—731no—
1025#480—731no—
1026#479—731no—
1027#479—731no—
1028#478—731no—
1029#478—731no—
1030#477—731no—
1031#476—731no—
1032#475—731no—
1033#474—731no—
1034#470—731no—
1035#470—731no—
1036#469—731no—
1037#469—731no—
1038#468—731no—
1039#468—731no—
1040#468—731no—
1041#468—731no—
1042#467—731no—
1043#467—731no—
1044#466—731no—
1045#466—731no—
1046#465—731no—
1047#465—731no—
1048#465—731no—
1049#465—731no—
1050#464—731no—
1051#464—731no—
1052#463—731no—
1053#463—731no—
1054#462—731no—
1055#461—731no—
1056#460—731no—
1057#459—731no—
1058#452—731no—
1059#452—731no—
1060#452C2×D7311yescharacteristic, complemented
1061#452C2×D7311yescharacteristic, complemented
1062#451—731no—
1063#451C2×D7311yescharacteristic, complemented
1064#450—731no—
1065#450C2×D7311yescharacteristic, complemented
1066#449—731no—
1067#449—731no—
1068#449C2×D7311yescharacteristic, complemented
1069#449C2×D7311yescharacteristic, complemented
1070#448—731no—
1071#448C2×D7311yescharacteristic, complemented
1072#447—731no—
1073#447C2×D7311yescharacteristic, complemented
1074#442—731no—
1075#442—731no—
1076#441—731no—
1077#441—731no—
1078#440—731no—
1079#440—731no—
1080#440—731no—
1081#440—731no—
1082#435—731no—
1083#435—731no—
1084#435—731no—
1085#435—731no—
1086#435—731no—
1087#435—731no—
1088#435—731no—
1089#435—731no—
1090#427—731no—
1091#427—731no—
1092#427—731no—
1093C2×C4⋊C8—731no—
1094#419—731no—
1095#419—731no—
1096#418—731no—
1097#418—731no—
1098#417—731no—
1099#417—731no—
1100#417—731no—
1101#417—731no—
1102#416—731no—
1103#416—731no—
1104#416—731no—
1105#416—731no—
1106#416—731no—
1107#416—731no—
1108#416—731no—
1109#416—731no—
1110#416—731no—
1111#416—731no—
1112#416—731no—
1113#416—731no—
1114#416C2×D7311yescharacteristic
1115#416C2×D7311yescharacteristic, complemented
1116C2×#103—731no—
1117C2×#103—731no—
1118C2×#102—731no—
1119C2×#102—731no—
1120C2×C22⋊C8—731no—
1121C2×C22⋊C8C2×D7311yescharacteristic, complemented
1122C2×#97—731no—
1123C2×#41—21no—
1124C2×#41—21no—
1125C2×#41—24no—
1126C2×#41—42no—
1127C2×#41—2922no—
1128C2×#41—731no—
1129C2×#41—731no—
1130C2×#41—731no—
1131C2×#41—1461no—
1132C2×#41—1464no—
1133C2×#41—1461no—
1134C2×#41—1461no—
1135C2×#41C22×D7311yescharacteristic
1136C2×#41C22×D7311yescharacteristic
1137C2×#41C22×D7311yescharacteristic
1138C2×#41C22×D7311yescharacteristic
1139C2×#41C22×D7311yescharacteristic
1140C22×Q8—731no—
1141C22×Q8C22×D7311yescharacteristic
1142C22×D4—21no—
1143C22×D4—731no—
1144C22×D4—731no—
1145C22×D4—1461no—
1146C22×D4—1461no—
1147C22×D4C22×D7311yescharacteristic
1148C23×C4—21no—
1149C23×C4—731no—
1150C23×C4—1461no—
1151C23×C4C22×D7311yescharacteristic
1152#135—24no—
1153#135—42no—
1154#135—2922no—
1155C2×Q16—731no—
1156C2×Q16C22×D7311yescharacteristic
1157C2×Q16C22×D7311yescharacteristic
1158C2×SD16—731no—
1159C2×SD16—731no—
1160C2×SD16C22×D7311yescharacteristic
1161C2×SD16C22×D7311yescharacteristic
1162C2×SD16C22×D7311yescharacteristic
1163C2×SD16C22×D7311yescharacteristic
1164C2×D8—731no—
1165C2×D8C22×D7311yescharacteristic
1166C2×D8C22×D7311yescharacteristic
1167C2×M16—2922no—
1168C2×M16—731no—
1169C2×M16—731no—
1170C2×M16—731no—
1171C2×M16—731no—
1172C22×C8—2922no—
1173C22×C8—731no—
1174C22×C8—731no—
1175C22×C8—731no—
1176C22×C8—731no—
1177C22×C8—731no—
1178C22×C8—731no—
1179C22×C8C22×D7311yescharacteristic
1180C22×C8C22×D7311yescharacteristic
1181C4⋊Q8—731no—
1182C4⋊Q8—731no—
1183C4⋊Q8—731no—
1184C4⋊Q8—1461no—
1185#127—731no—
1186#127—1461no—
1187#126—1461no—
1188#126—1461no—
1189#126—1461no—
1190#126—1461no—
1191#126—1461no—
1192#126—1461no—
1193#125—731no—
1194#125—731no—
1195#125—1461no—
1196#125—1461no—
1197#125—1461no—
1198#124—731no—
1199#124—731no—
1200#124—1461no—
1201#124—1461no—
1202#124—1461no—
1203#124—1461no—
1204#124—1461no—
1205#123—21no—
1206#123—1461no—
1207#123—1461no—
1208#123—1461no—
1209#123—1461no—
1210#123—1461no—
1211#123—1461no—
1212#123—1461no—
1213#123—1461no—
1214#123—1461no—
1215#123—1461no—
1216#123—1461no—
1217#123—1461no—
1218#123—1461no—
1219C22⋊Q8—731no—
1220C22⋊Q8—731no—
1221C22⋊Q8—731no—
1222C22⋊Q8—731no—
1223C22⋊Q8—731no—
1224C22⋊Q8—731no—
1225C22⋊Q8—1461no—
1226C22⋊Q8—1461no—
1227C22⋊Q8—1461no—
1228C22⋊Q8—1461no—
1229C22⋊Q8—1461no—
1230C22⋊Q8—1461no—
1231C22⋊Q8—1461no—
1232C22⋊Q8—1461no—
1233C22⋊Q8—1461no—
1234C22⋊Q8C22×D7311yescharacteristic
1235C22⋊Q8C22×D7311yescharacteristic
1236#121—731no—
1237#121—731no—
1238#121—731no—
1239#121—731no—
1240#121—731no—
1241#121—731no—
1242#121—1461no—
1243#121—1461no—
1244#121—1461no—
1245#121—1461no—
1246#121—1461no—
1247#121—1461no—
1248#121—1461no—
1249#121—1461no—
1250#121—1461no—
1251#121—1461no—
1252#121—1461no—
1253#121—1461no—
1254#121—1461no—
1255#121C22×D7311yescharacteristic
1256#121C22×D7311yescharacteristic
1257#120—21no—
1258#120—1461no—
1259#120—1461no—
1260#120—1461no—
1261#120—1461no—
1262#120—1461no—
1263#120—1461no—
1264#120—1461no—
1265C4×Q8—731no—
1266C4×Q8—731no—
1267C4×Q8—731no—
1268C4×Q8—731no—
1269C4×Q8—1461no—
1270C4×Q8—1461no—
1271C4×Q8—1461no—
1272C4×D4—21no—
1273C4×D4—21no—
1274C4×D4—731no—
1275C4×D4—731no—
1276C4×D4—731no—
1277C4×D4—731no—
1278C4×D4—731no—
1279C4×D4—731no—
1280C4×D4—731no—
1281C4×D4—731no—
1282C4×D4—731no—
1283C4×D4—731no—
1284C4×D4—731no—
1285C4×D4—731no—
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×D4—1461no—
1295C4×D4—1461no—
1296C4×D4—1461no—
1297C4×D4—1461no—
1298C4×D4—1461no—
1299C4×D4—1461no—
1300C4×D4—1461no—
1301C4×D4—1461no—
1302C4×D4—1461no—
1303C4×D4—1461no—
1304C4×D4—1461no—
1305#117—731no—
1306#117—731no—
1307#117—731no—
1308#117—731no—
1309#117—731no—
1310#117—731no—
1311#117—731no—
1312#117—1461no—
1313#117—1461no—
1314#117—1461no—
1315#117—1461no—
1316#117—1461no—
1317#117—1461no—
1318#117—1461no—
1319#117—1461no—
1320#117—1461no—
1321#117C22×D7311yescharacteristic
1322C2×C4⋊C4—731no—
1323C2×C4⋊C4—731no—
1324C2×C4⋊C4—731no—
1325C2×C4⋊C4—731no—
1326C2×C4⋊C4—731no—
1327C2×C4⋊C4—1461no—
1328C2×C22⋊C4—731no—
1329C2×C22⋊C4—731no—
1330C2×C22⋊C4—1461no—
1331C2×C22⋊C4—1461no—
1332C2×C22⋊C4—1461no—
1333C2×C22⋊C4—1461no—
1334C2×C42—731no—
1335C2×C42—1461no—
1336C2×C42—1461no—
1337C2×C42—1461no—
1338C2×C42—1461no—
1339#107—731no—
1340#107—731no—
1341#107—731no—
1342#107—731no—
1343#107—731no—
1344#107—731no—
1345#106—731no—
1346#106—731no—
1347#106—731no—
1348#106—731no—
1349#106—731no—
1350#106—731no—
1351C4⋊C8—731no—
1352C4⋊C8—731no—
1353C4⋊C8—731no—
1354C4⋊C8—731no—
1355#103—731no—
1356#103—731no—
1357#103—731no—
1358#103—731no—
1359#103—731no—
1360#103—731no—
1361#103—731no—
1362#103—731no—
1363#103—731no—
1364#103—731no—
1365#103—731no—
1366#103—731no—
1367#103—731no—
1368#103—731no—
1369#103—731no—
1370#103—731no—
1371#103C22×D7311yescharacteristic
1372#103C22×D7311yescharacteristic
1373#103C22×D7311yescharacteristic
1374#103C22×D7311yescharacteristic
1375#102—731no—
1376#102—731no—
1377#102—731no—
1378#102—731no—
1379#102—731no—
1380#102—731no—
1381#102—731no—
1382#102—731no—
1383#102—731no—
1384#102—731no—
1385#102—731no—
1386#102—731no—
1387#102—731no—
1388#102—731no—
1389#102—731no—
1390#102—731no—
1391#102C22×D7311yescharacteristic
1392#102C22×D7311yescharacteristic
1393#102C22×D7311yescharacteristic
1394#102C22×D7311yescharacteristic
1395C22⋊C8—731no—
1396C22⋊C8—731no—
1397C22⋊C8—731no—
1398C22⋊C8—731no—
1399C22⋊C8C22×D7311yescharacteristic
1400C22⋊C8C22×D7311yescharacteristic
1401C22⋊C8C22×D7311yescharacteristic
1402C22⋊C8C22×D7311yescharacteristic
1403#97—731no—
1404#97—731no—
1405#97—731no—
1406#97—731no—
1407C24—21no—
1408C24—731no—
1409C24—1461no—
1410C24D4×D7311yescharacteristic
1411#41—22no—
1412#41—22no—
1413#41—22no—
1414#41—22no—
1415#41—22no—
1416#41—22no—
1417#41—22no—
1418#41—44no—
1419#41—41no—
1420#41—41no—
1421#41—44no—
1422#41—2924no—
1423#41—2924no—
1424#41—2924no—
1425#41—2921no—
1426#41—2921no—
1427#41—1462no—
1428#41—1462no—
1429#41—1462no—
1430#41—1462no—
1431#41#1192402714yescomplemented
1432C2×Q8—21no—
1433C2×Q8—22no—
1434C2×Q8—41no—
1435C2×Q8—2921no—
1436C2×Q8—731no—
1437C2×Q8—1461no—
1438C2×Q8—1461no—
1439C2×Q8—1461no—
1440C2×Q8—1462no—
1441C2×Q8C23×D7311yescharacteristic
1442C2×Q8C23×D7311yescharacteristic
1443C2×Q8C23×D7311yescharacteristic
1444C2×D4—21no—
1445C2×D4—22no—
1446C2×D4—21no—
1447C2×D4—21no—
1448C2×D4—21no—
1449C2×D4—21no—
1450C2×D4—21no—
1451C2×D4—21no—
1452C2×D4—21no—
1453C2×D4—41no—
1454C2×D4—44no—
1455C2×D4—2924no—
1456C2×D4—2924no—
1457C2×D4—2922no—
1458C2×D4—2921no—
1459C2×D4—731no—
1460C2×D4—731no—
1461C2×D4—731no—
1462C2×D4—731no—
1463C2×D4—731no—
1464C2×D4—1461no—
1465C2×D4—1461no—
1466C2×D4—1461no—
1467C2×D4—1461no—
1468C2×D4—1461no—
1469C2×D4—1461no—
1470C2×D4—1461no—
1471C2×D4—1461no—
1472C2×D4—1461no—
1473C2×D4—1462no—
1474C2×D4—1461no—
1475C2×D4—1461no—
1476C2×D4—1461no—
1477C2×D4C23×D7311yescharacteristic
1478C2×D4C23×D7311yescharacteristic
1479C2×D4C23×D7311yescharacteristic
1480C22×C4—21no—
1481C22×C4—22no—
1482C22×C4—22no—
1483C22×C4—21no—
1484C22×C4—21no—
1485C22×C4—21no—
1486C22×C4—21no—
1487C22×C4—21no—
1488C22×C4—44no—
1489C22×C4—2924no—
1490C22×C4—731no—
1491C22×C4—731no—
1492C22×C4—731no—
1493C22×C4—731no—
1494C22×C4—731no—
1495C22×C4—731no—
1496C22×C4—731no—
1497C22×C4—1461no—
1498C22×C4—1461no—
1499C22×C4—1461no—
1500C22×C4—1461no—
1501C22×C4—1461no—
1502C22×C4—1461no—
1503C22×C4—1461no—
1504C22×C4—1461no—
1505C22×C4—1461no—
1506C22×C4—1461no—
1507C22×C4—1461no—
1508C22×C4—1461no—
1509C22×C4—1462no—
1510C22×C4—1462no—
1511C22×C4D4×D7311yescharacteristic
1512C22×C4D4×D7311yescharacteristic
1513C22×C4D4×D7311yescharacteristic
1514C22×C4C23×D7311yescharacteristic
1515C22×C4C23×D7311yescharacteristic
1516C22×C4C23×D7311yescharacteristic
1517Q16—22no—
1518Q16—41no—
1519Q16—2921no—
1520SD16—22no—
1521SD16—22no—
1522SD16—41no—
1523SD16—41no—
1524SD16—2921no—
1525SD16—2921no—
1526D8—22no—
1527D8—41no—
1528D8—2921no—
1529M16—2921no—
1530M16—2921no—
1531M16—2921no—
1532M16—2921no—
1533C2×C8—22no—
1534C2×C8—22no—
1535C2×C8—2921no—
1536C2×C8—2921no—
1537C2×C8—2921no—
1538C2×C8—2921no—
1539C2×C8—731no—
1540C2×C8—731no—
1541C2×C8—731no—
1542C2×C8—731no—
1543C2×C8—1462no—
1544C2×C8—1462no—
1545C2×C8C23×D7311yescharacteristic
1546C2×C8C23×D7311yescharacteristic
1547C2×C8C23×D7311yescharacteristic
1548C2×C8C23×D7311yescharacteristic
1549C4⋊C4—21no—
1550C4⋊C4—21no—
1551C4⋊C4—731no—
1552C4⋊C4—731no—
1553C4⋊C4—731no—
1554C4⋊C4—731no—
1555C4⋊C4—731no—
1556C4⋊C4—731no—
1557C4⋊C4—731no—
1558C4⋊C4—731no—
1559C4⋊C4—731no—
1560C4⋊C4—731no—
1561C4⋊C4—1461no—
1562C4⋊C4—1461no—
1563C4⋊C4—1461no—
1564C4⋊C4—1461no—
1565C4⋊C4—1461no—
1566C4⋊C4—1461no—
1567C4⋊C4—1461no—
1568C4⋊C4—1461no—
1569C4⋊C4—1461no—
1570C4⋊C4—1461no—
1571C4⋊C4—1461no—
1572C4⋊C4—1461no—
1573C4⋊C4—1461no—
1574C4⋊C4—1461no—
1575C4⋊C4—1461no—
1576C4⋊C4—1461no—
1577C4⋊C4—1461no—
1578C4⋊C4—1461no—
1579C4⋊C4—1461no—
1580C4⋊C4—1461no—
1581C4⋊C4—1461no—
1582C4⋊C4—1461no—
1583C4⋊C4C23×D7311yescharacteristic
1584C4⋊C4C23×D7311yescharacteristic
1585C22⋊C4—21no—
1586C22⋊C4—21no—
1587C22⋊C4—21no—
1588C22⋊C4—21no—
1589C22⋊C4—21no—
1590C22⋊C4—731no—
1591C22⋊C4—731no—
1592C22⋊C4—731no—
1593C22⋊C4—731no—
1594C22⋊C4—731no—
1595C22⋊C4—731no—
1596C22⋊C4—731no—
1597C22⋊C4—731no—
1598C22⋊C4—1461no—
1599C22⋊C4—1461no—
1600C22⋊C4—1461no—
1601C22⋊C4—1461no—
1602C22⋊C4—1461no—
1603C22⋊C4—1461no—
1604C22⋊C4—1461no—
1605C22⋊C4—1461no—
1606C22⋊C4—1461no—
1607C22⋊C4—1461no—
1608C22⋊C4—1461no—
1609C22⋊C4—1461no—
1610C22⋊C4—1461no—
1611C22⋊C4—1461no—
1612C22⋊C4—1461no—
1613C22⋊C4—1461no—
1614C22⋊C4—1461no—
1615C22⋊C4—1461no—
1616C22⋊C4—1461no—
1617C22⋊C4—1461no—
1618C22⋊C4—1461no—
1619C22⋊C4—1461no—
1620C22⋊C4—1461no—
1621C22⋊C4—1461no—
1622C22⋊C4—1461no—
1623C22⋊C4—1461no—
1624C22⋊C4—1461no—
1625C42—21no—
1626C42—731no—
1627C42—731no—
1628C42—731no—
1629C42—731no—
1630C42—1461no—
1631C42—1461no—
1632C42—1461no—
1633C42—1461no—
1634C42—1461no—
1635C42—1461no—
1636C42—1461no—
1637C42—1461no—
1638C42—1461no—
1639C42—1461no—
1640C42—1461no—
1641C23—22no—
1642C23—21no—
1643C23—22no—
1644C23—21no—
1645C23—21no—
1646C23—41no—
1647C23—42no—
1648C23—42no—
1649C23—81no—
1650C23—2922no—
1651C23—2921no—
1652C23—2921no—
1653C23—2922no—
1654C23—5841no—
1655C23—731no—
1656C23—731no—
1657C23—1461no—
1658C23—1462no—
1659C23C2×D4×D7311yescharacteristic
1660C23C2×D4×D7311yescharacteristic
1661C23C2×D4×D7311yescharacteristic
1662Q8—21no—
1663Q8—21no—
1664Q8—21no—
1665Q8—21no—
1666Q8—21no—
1667Q8—42no—
1668Q8—2922no—
1669Q8—2922no—
1670Q8—5841no—
1671Q8—1461no—
1672Q8—1461no—
1673Q8C2×#1192402712yes—
1674D4—24no—
1675D4—21no—
1676D4—21no—
1677D4—21no—
1678D4—21no—
1679D4—21no—
1680D4—42no—
1681D4—42no—
1682D4—42no—
1683D4—42no—
1684D4—42no—
1685D4—42no—
1686D4—81no—
1687D4—2922no—
1688D4—2922no—
1689D4—2922no—
1690D4—2922no—
1691D4—2922no—
1692D4—2922no—
1693D4—2922no—
1694D4—2921no—
1695D4—2921no—
1696D4—2922no—
1697D4—5841no—
1698D4—5841no—
1699D4—5841no—
1700D4—5841no—
1701D4—1462no—
1702D4—1462no—
1703D4—1461no—
1704D4—1461no—
1705D4C2×#1192402712yes—
1706C2×C4—21no—
1707C2×C4—22no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—24no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—42no—
1720C2×C4—42no—
1721C2×C4—42no—
1722C2×C4—42no—
1723C2×C4—42no—
1724C2×C4—2922no—
1725C2×C4—2922no—
1726C2×C4—2922no—
1727C2×C4—2922no—
1728C2×C4—2922no—
1729C2×C4—2922no—
1730C2×C4—2922no—
1731C2×C4—2922no—
1732C2×C4—2921no—
1733C2×C4—2921no—
1734C2×C4—5841no—
1735C2×C4—5841no—
1736C2×C4—5841no—
1737C2×C4—5841no—
1738C2×C4—731no—
1739C2×C4—731no—
1740C2×C4—731no—
1741C2×C4—731no—
1742C2×C4—731no—
1743C2×C4—731no—
1744C2×C4—1461no—
1745C2×C4—1461no—
1746C2×C4—1461no—
1747C2×C4—1461no—
1748C2×C4—1461no—
1749C2×C4—1461no—
1750C2×C4—1461no—
1751C2×C4—1462no—
1752C2×C4—1461no—
1753C2×C4—1461no—
1754C2×C4—1461no—
1755C2×C4—1461no—
1756C2×C4—1462no—
1757C2×C4—1462no—
1758C2×C4C2×D4×D7311yescharacteristic
1759C2×C4C2×D4×D7311yescharacteristic
1760C2×C4C2×D4×D7311yescharacteristic
1761C2×C4C2×#1192402712yes—
1762C2×C4#1455663612yes—
1763C2×C4C24×D7311yescharacteristic
1764C8—21no—
1765C8—21no—
1766C8—21no—
1767C8—21no—
1768C8—1461no—
1769C8—1461no—
1770C8—1461no—
1771C8—1461no—
1772C22—21no—
1773C22—21no—
1774C22—21no—
1775C22—21no—
1776C22—21no—
1777C22—22no—
1778C22—21no—
1779C22—21no—
1780C22—44no—
1781C22—41no—
1782C22—41no—
1783C22—41no—
1784C22—41no—
1785C22—41no—
1786C22—41no—
1787C22—41no—
1788C22—41no—
1789C22—84no—
1790C22—2921no—
1791C22—2921no—
1792C22—2921no—
1793C22—5842no—
1794C22—5844no—
1795C22—1461no—
1796C22—1461no—
1797C22—1461no—
1798C22—1461no—
1799C22—1461no—
1800C22—1461no—
1801C22#1798922412yes—
1802C22#1798938412yes—
1803C22C22×D4×D7311yescharacteristic
1804C4—21no—
1805C4—21no—
1806C4—22no—
1807C4—41no—
1808C4—41no—
1809C4—41no—
1810C4—41no—
1811C4—2921no—
1812C4—2921no—
1813C4—2921no—
1814C4—2921no—
1815C4—2921no—
1816C4—2921no—
1817C4—2921no—
1818C4—1461no—
1819C4—1461no—
1820C4—1461no—
1821C4—1461no—
1822C4—1461no—
1823C4—1461no—
1824C4#1798922412yes—
1825C4C22×#1192402711yescharacteristic
1826C4C2×#1455663611yescharacteristic
1827C2—22no—
1828C2—22no—
1829C2—41no—
1830C2—42no—
1831C2—81no—
1832C2—81no—
1833C2—2921no—
1834C2—2921no—
1835C2—5841no—
1836C2C2×#1798922411yescharacteristic
1837C2C2×#1798938411yescharacteristic
1838C2#2262470411yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3002C2
socleC22×C73C23×D4
hypercenter#3002D73
hypocenterC73#61141
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ #3002

Complements

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

NH ≅ G/Ntype
1. #22623491C2semidirect
2. #41×C22⋊D73C2semidirect
3. #22622121C2semidirect
4. #22622106C2semidirect
5. #22622091C2semidirect
6. #22622076C2semidirect
7. #22622061C2semidirect
8. #22622046C2semidirect
9. #22622031C2semidirect
10. #22622016C2semidirect
11. #22622001C2semidirect
12. #22621986C2semidirect
13. #22621971C2semidirect
14. #22621956C2semidirect
15. #22621941C2semidirect
16. #22621926C2semidirect
17. #22621911C2semidirect
18. #22621896C2semidirect
19. #22620274C2semidirect
20. #22619846C2semidirect
21. #22619842C2semidirect
22. #22619715C2semidirect
23. #22619536C2semidirect
24. #22619509C2semidirect
25. #22619382C2semidirect
26. #22619145C2semidirect
27. #22618732C2semidirect
28. C2×#17988655C2semidirect
29. #22618446C2semidirect
30. C2×#17988583C2semidirect
31. C73×#3002C2semidirect
33. C2×#14556611C22semidirect
34. C22×#11924011C22semidirect
35. C23×#10596831C22semidirect
36. #17989308C22semidirect
37. #17989301C22semidirect
38. #17989295C22semidirect
40. #17989284C22semidirect
43. #17989271C22semidirect
50. #17989237C22semidirect
60. #17989140C22semidirect
70. #17989094C22semidirect
72. #41×Dic73C22semidirect
76. C2×#14556550C22semidirect
77. #117×D73C22semidirect
78. #17988954C22semidirect
79. #17988954C22semidirect
80. #17988950C22semidirect
81. #17988950C22semidirect
82. #17988948C22semidirect
83. #17988948C22semidirect
84. #17988945C22semidirect
85. #17988945C22semidirect
86. #17988929C22semidirect
87. #17988929C22semidirect
88. #17988927C22semidirect
89. #17988926C22semidirect
90. #17988923C22semidirect
91. #17988921C22semidirect
92. #17988918C22semidirect
93. #17988916C22semidirect
94. #17988912C22semidirect
95. #17988912C22semidirect
96. #17988910C22semidirect
97. #17988909C22semidirect
98. #17988906C22semidirect
99. #17988904C22semidirect
100. #17988901C22semidirect
101. #17988899C22semidirect
102. #17988896C22semidirect
103. #17988892C22semidirect
104. #17988889C22semidirect
105. #17988885C22semidirect
106. #17988880C22semidirect
107. #17988875C22semidirect
108. #17988870C22semidirect
109. #17988865C22semidirect
110. #17988842C22semidirect
111. #17988842C22semidirect
112. #17988837C22semidirect
113. #17988837C22semidirect
114. #17988830C22semidirect
115. #17988830C22semidirect
116. #17988830C22semidirect
117. #17988830C22semidirect
118. #17988826C22semidirect
119. #17988826C22semidirect
120. #17988821C22semidirect
121. #17988821C22semidirect
122. #17988818C22semidirect
123. #17988818C22semidirect
124. #17988814C22semidirect
125. #17988814C22semidirect
126. #17988811C22semidirect
127. #17988807C22semidirect
128. #17988804C22semidirect
129. #17988800C22semidirect
130. #17988795C22semidirect
131. #17988790C22semidirect
132. #17988785C22semidirect
133. #17988780C22semidirect
134. #17988748C22semidirect
135. #17988746C22semidirect
136. #17988741C22semidirect
137. #17988736C22semidirect
138. #17988731C22semidirect
139. #17988729C22semidirect
140. #17988724C22semidirect
141. #17988719C22semidirect
142. #17988699C22semidirect
143. #17988699C22semidirect
144. #17988694C22semidirect
145. #17988694C22semidirect
146. #17988688C22semidirect
147. #17988688C22semidirect
148. #17988688C22semidirect
149. #17988688C22semidirect
152. #17988655C22semidirect
153. #17988655C22semidirect
154. #17988655C22semidirect
155. #17988655C22semidirect
156. #17988655C22semidirect
157. #17988655C22semidirect
158. #17988625C22semidirect
159. #17988625C22semidirect
160. #17988623C22semidirect
161. C2×#14556520C22semidirect
162. #17988594C22semidirect
163. #17988594C22semidirect
164. #17988590C22semidirect
165. #17988590C22semidirect
166. #17988587C22semidirect
167. #17988587C22semidirect
168. #17988585C22semidirect
169. #17988585C22semidirect
170. #17988584C22semidirect
171. #17988584C22semidirect
174. #17988583C22semidirect
175. #17988583C22semidirect
176. #17988583C22semidirect
177. #17988583C22semidirect
178. #17988583C22semidirect
179. #17988583C22semidirect
180. #17988583C22semidirect
181. #17988581C22semidirect
182. C2×#14556515C22semidirect
183. C2×#14556515C22semidirect
184. C2×#14556512C22semidirect
185. C2×#14556512C22semidirect
186. C2×#14556503C22semidirect
187. C2×#14556501C22semidirect
190. C2×#135×C73C22semidirect
191. #525×C73C22semidirect
192. #452×C73C22semidirect
193. #452×C73C22semidirect
194. #451×C73C22semidirect
195. #450×C73C22semidirect
196. #449×C73C22semidirect
197. #449×C73C22semidirect
198. #448×C73C22semidirect
199. #447×C73C22semidirect
201. #416×C73C22semidirect
202. C2×C22⋊C8×C73C22semidirect
661. #41×C73#41semidirect
946. #3002D73semidirect
951. C73#61141semidirect
956. C2×#135C2×D73semidirect
994. #525C2×D73semidirect
1060. #452C2×D73semidirect
1061. #452C2×D73semidirect
1063. #451C2×D73semidirect
1065. #450C2×D73semidirect
1068. #449C2×D73semidirect
1069. #449C2×D73semidirect
1071. #448C2×D73semidirect
1073. #447C2×D73semidirect
1115. #416C2×D73semidirect
1121. C2×C22⋊C8C2×D73semidirect
1431. #41#11924027semidirect

Maximal subgroups

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

subgroupindex
#226234912
#41×C22⋊D732
#226221212
#226221062
#226220912
#226220762
#226220612
#226220462
#226220312
#226220162
#226220012
#226219862
#226219712
#226219562
#226219412
#226219262
#226219112
#226218962
#226202742
#226198462
#226198422
#226197152
#226195362
#226195092
#226193822
#226191452
#226187322
C2×#179886552
#226184462
C2×#179885832
C73×#30022
#6114173