Finite Group Databasebeta

← #33972652

Subgroups — #33972652

Order 18688.

2110 conjugacy classes of subgroups.

The subgroup lattice has 1902 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624318C211yesmaximal, characteristic, complemented
2#22623690C211yesmaximal, characteristic, complemented
3#22622240C211yesmaximal, characteristic, complemented
4#22622169C211yesmaximal, characteristic, complemented
5#22622143C211yesmaximal, characteristic, complemented
6#22622140C211yesmaximal, characteristic, complemented
7#22621855C211yesmaximal, characteristic, complemented
8#22621770C211yesmaximal, characteristic, complemented
9#22621767C211yesmaximal, characteristic, complemented
10#22621748C211yesmaximal, characteristic, complemented
11#22621646C211yesmaximal, characteristic, complemented
12#22621638C211yesmaximal, characteristic, complemented
13#22621636C211yesmaximal, characteristic, complemented
14SD16×C22⋊D73C211yesmaximal, characteristic, complemented
15#22621571C211yesmaximal, characteristic, complemented
16#22621566C211yesmaximal, characteristic, complemented
17#22621556C211yesmaximal, characteristic, complemented
18#22621529C211yesmaximal, characteristic, complemented
19#22620910C211yesmaximal, characteristic, complemented
20#22620885C211yesmaximal, characteristic, complemented
21#22620843C211yesmaximal, characteristic, complemented
22#22620839C211yesmaximal, characteristic, complemented
23#22620813C211yesmaximal, characteristic, complemented
24#22620810C211yesmaximal, characteristic, complemented
25#22619979C211yesmaximal, characteristic, complemented
26#22619934C211yesmaximal, characteristic, complemented
27#22619236C211yesmaximal, characteristic, complemented
28#22619235C211yesmaximal, characteristic, complemented
29#22619203C211yesmaximal, characteristic, complemented
30#22618995C211yesmaximal, characteristic, complemented
31C73×#3009C211yesmaximal, characteristic, complemented
32C2×#14556636C2211yescharacteristic
33C2×#14556620C2211yescharacteristic, complemented
34C2×#14556618C2211yescharacteristic, complemented
35C2×#14556617C2211yescharacteristic, complemented
36C2×#14556612C2211yescharacteristic, complemented
37C2×#14556611C2211yescharacteristic, complemented
38C2×SD16×D73C2211yescharacteristic, complemented
39#17989334—21no—
40#17989331—21no—
41#17989300C2211yescharacteristic, complemented
42#17989299—21no—
43#17989295C2211yescharacteristic, complemented
44#17989282—21no—
45#17989279C2211yescharacteristic, complemented
46#17989276C2211yescharacteristic, complemented
47Q8×C22⋊D73C2211yescharacteristic, complemented
48#17989248C2211yescharacteristic, complemented
49#17989247C2211yescharacteristic, complemented
50#17989239C2211yescharacteristic, complemented
51#17989236—21no—
52#17989236C2211yescharacteristic
53#17989236C2211yescharacteristic
54#17989231—21no—
55#17989231C2211yescharacteristic
56#17989231C2211yescharacteristic
57#17989225—21no—
58#17989225C2211yescharacteristic
59#17989225C2211yescharacteristic
60D4×C22⋊D73—21no—
61D4×C22⋊D73C2211yescharacteristic
62D4×C22⋊D73C2211yescharacteristic
63#17989214—21no—
64#17989211—21no—
65#17989205—21no—
66#17989189—21no—
67#17989167C2211yescharacteristic, complemented
68#17989165C2211yescharacteristic
69#17989165C2211yescharacteristic
70#17989165C2211yescharacteristic, complemented
71#17989160C2211yescharacteristic, complemented
72#17989146—21no—
73#17989146—21no—
74#17989139C2211yescharacteristic, complemented
75#17989133C2211yescharacteristic
76#17989133C2211yescharacteristic
77#17989123C2211yescharacteristic, complemented
78C2×#14556563—21no—
79C2×#14556563—21no—
80C2×D4×Dic73C2211yescharacteristic
81#17988972C2211yescharacteristic, complemented
82#17988968C2211yescharacteristic, complemented
83#17988965C2211yescharacteristic, complemented
84#17988958C2211yescharacteristic, complemented
85#17988943C2211yescharacteristic, complemented
86#17988940C2211yescharacteristic, complemented
87#17988936C2211yescharacteristic, complemented
88#17988932C2211yescharacteristic, complemented
89#17988928C2211yescharacteristic, complemented
90#17988926C2211yescharacteristic, complemented
91#17988920C2211yescharacteristic, complemented
92#17988918C2211yescharacteristic, complemented
93#17988918C2211yescharacteristic, complemented
94#17988916C2211yescharacteristic, complemented
95#17988915C2211yescharacteristic, complemented
96#17988911C2211yescharacteristic, complemented
97#17988910C2211yescharacteristic, complemented
98#17988906C2211yescharacteristic, complemented
99#17988906C2211yescharacteristic, complemented
100#17988904C2211yescharacteristic, complemented
101#17988889C2211yescharacteristic, complemented
102#17988889C2211yescharacteristic, complemented
103#17988875C2211yescharacteristic, complemented
104#17988875C2211yescharacteristic, complemented
105#17988845C2211yescharacteristic, complemented
106#17988843C2211yescharacteristic, complemented
107#17988842C2211yescharacteristic, complemented
108#17988842C2211yescharacteristic, complemented
109#17988840C2211yescharacteristic, complemented
110#17988839C2211yescharacteristic, complemented
111#17988835C2211yescharacteristic, complemented
112#17988832C2211yescharacteristic, complemented
113#17988827C2211yescharacteristic, complemented
114#17988826C2211yescharacteristic, complemented
115#17988819C2211yescharacteristic, complemented
116#17988818C2211yescharacteristic, complemented
117#17988816C2211yescharacteristic, complemented
118#17988816C2211yescharacteristic, complemented
119#17988813C2211yescharacteristic, complemented
120#17988813C2211yescharacteristic, complemented
121#17988812C2211yescharacteristic, complemented
122#17988811C2211yescharacteristic, complemented
123#17988808C2211yescharacteristic, complemented
124#17988807C2211yescharacteristic, complemented
125#17988804C2211yescharacteristic, complemented
126#17988804C2211yescharacteristic, complemented
127#17988795C2211yescharacteristic, complemented
128#17988791C2211yescharacteristic, complemented
129#17988790C2211yescharacteristic, complemented
130#17988790C2211yescharacteristic, complemented
131#17988785C2211yescharacteristic, complemented
132#17988781C2211yescharacteristic, complemented
133#17988751C2211yescharacteristic, complemented
134#17988751C2211yescharacteristic, complemented
135#17988750C2211yescharacteristic, complemented
136#17988749C2211yescharacteristic, complemented
137#17988749C2211yescharacteristic, complemented
138#17988748C2211yescharacteristic, complemented
139#17988747C2211yescharacteristic, complemented
140#17988747C2211yescharacteristic, complemented
141#17988746C2211yescharacteristic, complemented
142#17988746C2211yescharacteristic, complemented
143#17988743C2211yescharacteristic, complemented
144#17988741C2211yescharacteristic, complemented
145#17988739C2211yescharacteristic, complemented
146#17988738C2211yescharacteristic
147#17988738C2211yescharacteristic, complemented
148#17988736C2211yescharacteristic, complemented
149#17988736C2211yescharacteristic, complemented
150#17988734C2211yescharacteristic, complemented
151#17988734C2211yescharacteristic, complemented
152#17988733C2211yescharacteristic, complemented
153#17988732C2211yescharacteristic, complemented
154#17988732C2211yescharacteristic, complemented
155#17988731C2211yescharacteristic, complemented
156#17988726C2211yescharacteristic, complemented
157#17988724C2211yescharacteristic, complemented
158#17988722C2211yescharacteristic, complemented
159#17988721C2211yescharacteristic
160#17988721C2211yescharacteristic, complemented
161#17988678C2211yescharacteristic, complemented
162#17988678C2211yescharacteristic, complemented
163SD16×Dic73C2211yescharacteristic, complemented
164SD16×Dic73C2211yescharacteristic, complemented
165SD16×Dic73C2211yescharacteristic, complemented
166SD16×Dic73C2211yescharacteristic, complemented
167#17988667C2211yescharacteristic, complemented
168#17988667C2211yescharacteristic, complemented
169#17988663C2211yescharacteristic, complemented
170#17988663C2211yescharacteristic, complemented
171#17988662C2211yescharacteristic, complemented
172#17988662C2211yescharacteristic, complemented
173C8×C22⋊D73C2211yescharacteristic, complemented
174C8×C22⋊D73C2211yescharacteristic, complemented
175#17988650C2211yescharacteristic, complemented
176#17988650C2211yescharacteristic, complemented
177#17988637C2211yescharacteristic, complemented
178#17988637C2211yescharacteristic, complemented
179#17988590C2211yescharacteristic, complemented
180#17988588C2211yescharacteristic, complemented
181#17988585C2211yescharacteristic, complemented
182#17988580C2211yescharacteristic, complemented
183C2×#14556512C2211yescharacteristic, complemented
184#102×D73C2211yescharacteristic, complemented
185#17988554C2211yescharacteristic, complemented
186#17988552C2211yescharacteristic, complemented
187#17988552C2211yescharacteristic, 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
197#450×C73C2211yescharacteristic
198#450×C73C2211yescharacteristic, complemented
199#450×C73C2211yescharacteristic, complemented
200#418×C73C2211yescharacteristic, complemented
201#416×C73C2211yescharacteristic, complemented
202#408×C73C2211yescharacteristic, complemented
203#14556636—42no—
204#14556636—42no—
205C2×#11924029C2311yescharacteristic
206C2×#11924028C2311yescharacteristic
207C2×#11924028C2311yescharacteristic
208C2×#11924028C2311yescharacteristic
209C2×#11924027—21no—
210C2×#11924027C2311yescharacteristic
211C2×#11924027C2311yescharacteristic
212C2×Q8×D73C2311yescharacteristic
213C22×C22⋊D73—21no—
214C22×C22⋊D73—21no—
215C22×C22⋊D73—21no—
216C22×C22⋊D73—21no—
217C2×D4×D73—21no—
218C2×D4×D73C2311yescharacteristic
219C2×D4×D73C2311yescharacteristic
220C23×Dic73—21no—
221#14556620—42no—
222#14556618—42no—
223#14556617—42no—
224#14556612—42no—
225#14556611—42no—
226C2×Dic292C2311yescharacteristic
227C2×#11924018C2311yescharacteristic
228C2×#11924018C2311yescharacteristic
229C2×#11924018C2311yescharacteristic
230C2×#11924017C2311yescharacteristic
231C2×#11924017C2311yescharacteristic
232C2×#11924016C2311yescharacteristic
233C2×#11924016C2311yescharacteristic
234C2×#11924016C2311yescharacteristic
235C2×#11924015C2311yescharacteristic
236C2×#11924015C2311yescharacteristic
237C2×#11924015C2311yescharacteristic
238SD16×D73—42no—
239C2×D584C2311yescharacteristic
240C2×#11924013C2311yescharacteristic
241C2×#11924013C2311yescharacteristic
242C2×#11924013C2311yescharacteristic
243C2×#11924012C2311yescharacteristic
244C2×#11924011C2311yescharacteristic
245C2×#11924011C2311yescharacteristic
246C22×#10596831C2311yescharacteristic
247C2×C8×D73C2311yescharacteristic
248C2×C8×D73C2311yescharacteristic
249#14556590—21no—
250#14556590C2311yescharacteristic
251#14556589—21no—
252#14556589D411yescharacteristic
253#14556589C2311yescharacteristic
254#14556589C2311yescharacteristic
255#14556587D411yescharacteristic
256#14556587C2311yescharacteristic
257#14556586—21no—
258#14556586—21no—
259#14556584—21no—
260#14556583—21no—
261#14556582—21no—
262#14556582C2311yescharacteristic
263#14556581—21no—
264#14556581—21no—
265#14556580—21no—
266#14556580D411yescharacteristic
267#14556580C2311yescharacteristic
268#14556580C2311yescharacteristic
269#14556579—21no—
270#14556578D411yescharacteristic
271#14556578C2311yescharacteristic
272#14556577—21no—
273#14556577—21no—
274#14556577—21no—
275#14556576—21no—
276#14556576—21no—
277#14556575—21no—
278#14556575—21no—
279#14556574—21no—
280#14556574—21no—
281#14556574—21no—
282#14556574—21no—
283#14556573—21no—
284#14556573—21no—
285#14556573—21no—
286#14556572—21no—
287#14556572—21no—
288#14556572—21no—
289#14556572—21no—
290#14556571—21no—
291#14556571C2311yescharacteristic
292#14556570—21no—
293#14556570—21no—
294#14556570C2311yescharacteristic
295#14556570C2311yescharacteristic
296#14556570C2311yescharacteristic
297#14556570C2311yescharacteristic
298#14556569—21no—
299#14556569—21no—
300#14556568—21no—
301#14556568—21no—
302#14556567—21no—
303#14556567—21no—
304#14556567—21no—
305#14556567—21no—
306#14556567C2311yescharacteristic
307#14556567C2311yescharacteristic
308#14556567C2311yescharacteristic
309#14556567C2311yescharacteristic
310#14556566—21no—
311#14556566C2311yescharacteristic
312#14556565—21no—
313#14556565—21no—
314#14556565C2311yescharacteristic
315#14556565C2311yescharacteristic
316#14556565C2311yescharacteristic
317#14556565C2311yescharacteristic
318#14556564—21no—
319#14556564—21no—
320#14556564—21no—
321#14556564—21no—
322#14556564—21no—
323#14556563—21no—
324#14556563—21no—
325#14556563—21no—
326#14556563—21no—
327#14556563—21no—
328#14556563—21no—
329#14556563—21no—
330#14556563—21no—
331#14556563—21no—
332#14556563—21no—
333#14556563—21no—
334#14556563—21no—
335#14556563—21no—
336#14556563—21no—
337#14556563—21no—
338#14556563—21no—
339#14556563D411yescharacteristic
340#14556563D411yescharacteristic
341#14556563D411yescharacteristic
342#14556563D411yescharacteristic
343#14556562—21no—
344#14556562—21no—
345#14556562C2311yescharacteristic
346#14556562C2311yescharacteristic
347#14556560—21no—
348#14556560—21no—
349#14556560—21no—
350#14556560—21no—
351#14556559—21no—
352#14556559—21no—
353#14556559—21no—
354#14556559—21no—
355Q8×Dic73C2311yescharacteristic
356Q8×Dic73C2311yescharacteristic
357#14556556—21no—
358#14556556C2311yescharacteristic
359D4×Dic73—21no—
360D4×Dic73—21no—
361D4×Dic73C2311yescharacteristic
362D4×Dic73C2311yescharacteristic
363D4×Dic73C2311yescharacteristic
364D4×Dic73C2311yescharacteristic
365#14556553—21no—
366#14556553C2311yescharacteristic
367C4×C22⋊D73—21no—
368C4×C22⋊D73—21no—
369C4×C22⋊D73—21no—
370C4×C22⋊D73—21no—
371C4×C22⋊D73C2311yescharacteristic
372C4×C22⋊D73C2311yescharacteristic
373C4×C22⋊D73C2311yescharacteristic
374C4×C22⋊D73C2311yescharacteristic
375#14556551—21no—
376#14556551—21no—
377#14556549—21no—
378#14556549C2311yescharacteristic
379#14556548—21no—
380#14556548—21no—
381#14556547—21no—
382#14556547—21no—
383C2×C4⋊Dic73C2311yescharacteristic
384C2×C4⋊Dic73C2311yescharacteristic
385C2×#11924007—21no—
386C2×#11924007—21no—
387C4⋊C4×D73—21no—
388C4⋊C4×D73C2311yescharacteristic
389C2×C22⋊Dic73—21no—
390C2×C22⋊Dic73—21no—
391C2×C22⋊Dic73—21no—
392C2×#11924005—21no—
393C2×#11924005—21no—
394C2×C4×Dic73C2311yescharacteristic
395#14556524C2311yescharacteristic
396#14556524C2311yescharacteristic
397#14556523C2311yescharacteristic
398#14556523C2311yescharacteristic
399#14556523C2311yescharacteristic
400#14556523C2311yescharacteristic
401#14556522C2311yescharacteristic
402#14556522C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556520C2311yescharacteristic
405#14556520C2311yescharacteristic
406#14556520C2311yescharacteristic
407#14556516C2311yescharacteristic
408#14556516C2311yescharacteristic
409#14556516C2311yescharacteristic
410#14556516C2311yescharacteristic
411#14556515C2311yescharacteristic
412#14556515C2311yescharacteristic
413#14556515C2311yescharacteristic
414#14556515C2311yescharacteristic
415#14556515C2311yescharacteristic
416#14556515C2311yescharacteristic
417#14556514C2311yescharacteristic
418#14556514C2311yescharacteristic
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
439C8×Dic73C2311yescharacteristic
440C8×Dic73C2311yescharacteristic
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—
492#11924029—41no—
493#11924029—41no—
494#11924028—41no—
495#11924028—41no—
496#11924028—41no—
497#11924028—41no—
498#11924028—41no—
499#11924028—41no—
500#11924027—22no—
501#11924027—22no—
502#11924027—41no—
503#11924027—41no—
504#11924027—44no—
505C2×Dic146—21no—
506C2×Dic146—21no—
507C2×Dic146C2×D411yescharacteristic
508C2×Dic146C2411yescharacteristic
509C2×Dic146C2411yescharacteristic
510Q8×D73—41no—
511Q8×D73—41no—
512C2×D292—21no—
513C2×D292—21no—
514C2×D292C2×D411yescharacteristic
515C2×D292C2411yescharacteristic
516C2×D292C2411yescharacteristic
517C2×C22⋊D73—21no—
518C2×C22⋊D73—21no—
519C2×C22⋊D73—21no—
520C2×C22⋊D73—21no—
521C2×C22⋊D73—21no—
522C2×C22⋊D73—21no—
523C2×C22⋊D73—21no—
524C2×C22⋊D73—21no—
525C2×C22⋊D73—21no—
526C2×C22⋊D73—21no—
527C2×C22⋊D73—21no—
528C2×C22⋊D73—21no—
529C2×C22⋊D73—21no—
530C2×C22⋊D73—21no—
531C2×C22⋊D73—44no—
532C2×C22⋊D73—44no—
533C2×C22⋊D73—82no—
534C2×C22⋊D73—82no—
535C2×C22⋊D73C2×D411yescharacteristic
536C2×C22⋊D73C2×D411yescharacteristic
537C2×C22⋊D73C2×D411yescharacteristic
538C2×C22⋊D73C2×D411yescharacteristic
539C2×C22⋊D73C2×D411yescharacteristic
540C2×C22⋊D73C2×D411yescharacteristic
541D4×D73—22no—
542D4×D73—22no—
543D4×D73—41no—
544D4×D73—41no—
545D4×D73—44no—
546C22×Dic73—21no—
547C22×Dic73—21no—
548C22×Dic73—21no—
549C22×Dic73—21no—
550C22×Dic73—21no—
551C22×Dic73—21no—
552C22×Dic73—21no—
553C22×Dic73—21no—
554C22×Dic73—82no—
555C22×Dic73C2×D411yescharacteristic
556C22×Dic73C2×D411yescharacteristic
557C2×C4×D73—21no—
558C2×C4×D73—21no—
559C2×C4×D73—21no—
560C2×C4×D73—21no—
561C2×C4×D73—21no—
562C2×C4×D73—21no—
563C2×C4×D73C2411yescharacteristic
564C2×C4×D73C2411yescharacteristic
565Dic292—41no—
566#11924018—41no—
567#11924018—41no—
568#11924018—41no—
569#11924017—41no—
570#11924017—41no—
571#11924016—22no—
572#11924016—22no—
573#11924016—41no—
574#11924015—41no—
575#11924015—41no—
576#11924015—41no—
577D584—41no—
578#11924013—22no—
579#11924013—22no—
580#11924013—41no—
581#11924012—41no—
582#11924011—41no—
583#11924011—41no—
584C2×#10596831—41no—
585C2×#10596831C2411yescharacteristic
586C2×#10596831C2411yescharacteristic
587C2×#10596831C2411yescharacteristic
588C2×#10596831C2411yescharacteristic
589C8×D73—41no—
590C8×D73—41no—
591C4⋊Dic73—21no—
592C4⋊Dic73—21no—
593C4⋊Dic73—21no—
594C4⋊Dic73—21no—
595C4⋊Dic73—21no—
596C4⋊Dic73—21no—
597C4⋊Dic73C2411yescharacteristic
598C4⋊Dic73C2411yescharacteristic
599C4⋊Dic73C2411yescharacteristic
600C4⋊Dic73C2411yescharacteristic
601#11924007—21no—
602#11924007—21no—
603#11924007—21no—
604#11924007—21no—
605#11924007—21no—
606#11924007—21no—
607#11924007—21no—
608#11924007—21no—
609#11924007—21no—
610#11924007—21no—
611#11924007—21no—
612#11924007—21no—
613#11924007—21no—
614#11924007—21no—
615#11924007—21no—
616#11924007—21no—
617#11924007C2×D411yescharacteristic
618#11924007C2×D411yescharacteristic
619#11924007C2×D411yescharacteristic
620#11924007C2×D411yescharacteristic
621C22⋊Dic73—21no—
622C22⋊Dic73—21no—
623C22⋊Dic73—21no—
624C22⋊Dic73—21no—
625C22⋊Dic73—21no—
626C22⋊Dic73—21no—
627C22⋊Dic73—21no—
628C22⋊Dic73—21no—
629C22⋊Dic73—21no—
630C22⋊Dic73—21no—
631C22⋊Dic73—21no—
632C22⋊Dic73—21no—
633C22⋊Dic73C2×D411yescharacteristic
634C22⋊Dic73C2×D411yescharacteristic
635C22⋊Dic73C2×D411yescharacteristic
636C22⋊Dic73C2×D411yescharacteristic
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#11924005—21no—
653#11924005C2×D411yescharacteristic
654#11924005C2×D411yescharacteristic
655#11924005C2×D411yescharacteristic
656#11924005C2×D411yescharacteristic
657C4×Dic73—21no—
658C4×Dic73—21no—
659C4×Dic73—21no—
660C4×Dic73—21no—
661C4×Dic73C2×D411yescharacteristic
662C4×Dic73C2×D411yescharacteristic
663C4×Dic73C2411yescharacteristic
664C4×Dic73C2411yescharacteristic
665C24×C73—21no—
666C24×C73—21no—
667C24×C73—21no—
668#41×C73—22no—
669#41×C73—22no—
670#41×C73—41no—
671#41×C73—41no—
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—22no—
685C2×D4×C73—22no—
686C2×D4×C73—22no—
687C2×D4×C73—22no—
688C2×D4×C73—21no—
689C2×D4×C73—21no—
690C2×D4×C73—21no—
691C2×D4×C73—21no—
692C2×D4×C73—21no—
693C2×D4×C73—21no—
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—41no—
713Q16×C73—41no—
714SD16×C73—22no—
715SD16×C73—22no—
716SD16×C73—22no—
717SD16×C73—22no—
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—24no—
739C23×C73—21no—
740C23×C73—21no—
741C23×C73—21no—
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—42no—
756C22×D73—42no—
757C22×D73—81no—
758C22×D73—81no—
759C22×D73—81no—
760C22×D73—81no—
761C22×D73C22×D411yescharacteristic
762C22×D73C22×D411yescharacteristic
763Q8×C73—21no—
764Q8×C73—21no—
765Q8×C73—21no—
766Q8×C73—21no—
767Q8×C73—21no—
768Q8×C73—21no—
769Q8×C73—41no—
770Q8×C73—81no—
771D4×C73—24no—
772D4×C73—21no—
773D4×C73—21no—
774D4×C73—21no—
775D4×C73—21no—
776D4×C73—41no—
777D4×C73—41no—
778D4×C73—41no—
779D4×C73—42no—
780D4×C73—42no—
781D4×C73—42no—
782D4×C73—42no—
783D4×C73—42no—
784D4×C73H(5,𝔽2)12yes—
785D4×C73H(5,𝔽2)12yes—
786C2×C4×C73—21no—
787C2×C4×C73—21no—
788C2×C4×C73—21no—
789C2×C4×C73—21no—
790C2×C4×C73—21no—
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—42no—
798C2×C4×C73—42no—
799C2×C4×C73—42no—
800C2×C4×C73—81no—
801C2×C4×C73C22×D411yescharacteristic
802C2×C4×C73C22×D411yescharacteristic
803C2×C4×C73C22×D411yescharacteristic
804C2×C4×C73C2511yescharacteristic
805C22⋊D73—22no—
806C22⋊D73—22no—
807C22⋊D73—41no—
808C22⋊D73—41no—
809C22⋊D73—41no—
810C22⋊D73—41no—
811C22⋊D73—42no—
812C22⋊D73—42no—
813C22⋊D73—42no—
814C22⋊D73—42no—
815C22⋊D73—42no—
816C22⋊D73—42no—
817C22⋊D73—81no—
818C22⋊D73—81no—
819C22⋊D73—81no—
820C22⋊D73—81no—
821C22⋊D73—81no—
822C22⋊D73—81no—
823C22⋊D73—81no—
824C22⋊D73—81no—
825C2×Dic73—22no—
826C2×Dic73—21no—
827C2×Dic73—21no—
828C2×Dic73—21no—
829C2×Dic73—21no—
830C2×Dic73—21no—
831C2×Dic73—21no—
832C2×Dic73—41no—
833C2×Dic73—42no—
834C2×Dic73—42no—
835C2×Dic73—42no—
836C2×Dic73—42no—
837C2×Dic73—81no—
838C2×Dic73—81no—
839C2×Dic73—81no—
840C2×Dic73—81no—
841C2×Dic73C22×D411yescharacteristic
842C2×Dic73C22×D411yescharacteristic
843C2×Dic73C22×D411yescharacteristic
844C2×Dic73C22×D411yescharacteristic
845C2×Dic73C22×D411yescharacteristic
846C2×Dic73C22×D411yescharacteristic
847D292—21no—
848D292—21no—
849D292—21no—
850D292—21no—
851D292—41no—
852D292—81no—
853D292—81no—
854C4×D73—21no—
855C4×D73—21no—
856C4×D73—21no—
857C4×D73—21no—
858C4×D73—42no—
859C4×D73—42no—
860C4×D73—81no—
861C4×D73—81no—
862C4×D73—81no—
863C4×D73—81no—
864Dic146—21no—
865Dic146—21no—
866Dic146—21no—
867Dic146—21no—
868Dic146—41no—
869Dic146—81no—
870Dic146—81no—
871C8×C73—21no—
872C8×C73—21no—
873C8×C73—21no—
874C8×C73—21no—
875#10596831—21no—
876#10596831—21no—
877#10596831—21no—
878#10596831—21no—
879C22×C73—21no—
880C22×C73—21no—
881C22×C73—21no—
882C22×C73—22no—
883C22×C73—22no—
884C22×C73—21no—
885C22×C73—21no—
886C22×C73—21no—
887C22×C73—21no—
888C22×C73—21no—
889C22×C73—21no—
890C22×C73—41no—
891C22×C73—41no—
892C22×C73—41no—
893C22×C73—41no—
894C22×C73—41no—
895C22×C73—41no—
896C22×C73—41no—
897C22×C73—84no—
898C22×C73—162no—
899C22×C73—162no—
900C22×C73C23×D411yescharacteristic
901C2×D73—21no—
902C2×D73—21no—
903C2×D73—21no—
904C2×D73—21no—
905C2×D73—21no—
906C2×D73—21no—
907C2×D73—41no—
908C2×D73—41no—
909C2×D73—41no—
910C2×D73—41no—
911C2×D73—41no—
912C2×D73—41no—
913C2×D73—162no—
914C2×D73—162no—
915C4×C73—21no—
916C4×C73—21no—
917C4×C73—21no—
918C4×C73—41no—
919C4×C73—41no—
920C4×C73—41no—
921C4×C73—41no—
922C4×C73—41no—
923C4×C73C2×H(5,𝔽2)11yescharacteristic
924C4×C73C2×H(5,𝔽2)11yescharacteristic
925Dic73—21no—
926Dic73—21no—
927Dic73—21no—
928Dic73—21no—
929Dic73—21no—
930Dic73—41no—
931Dic73—41no—
932Dic73—41no—
933Dic73—41no—
934Dic73—41no—
935Dic73—41no—
936Dic73#57712yes—
937#61658—731nomaximal, Sylow
938C2×C73—42no—
939C2×C73—42no—
940C2×C73—41no—
941C2×C73—41no—
942C2×C73—41no—
943C2×C73—81no—
944C2×C73#348411yescharacteristic
945C2×C73C2×#57711yescharacteristic
946C2×C73#358411yescharacteristic
947D73—41no—
948D73—41no—
949D73—81no—
950D73—81no—
951#3547—731no—
952#3496—731no—
953#3331—731no—
954#3325—731no—
955#3323—731no—
956#3323—731no—
957#3303—731no—
958#3296—731no—
959#3296—731no—
960#3295—731no—
961#3283—731no—
962#3282—731no—
963#3282—731no—
964D4×SD16—731no—
965#3276—731no—
966#3275—731no—
967#3275—731no—
968#3272—731no—
969#3212—731no—
970#3210—731no—
971#3204—731no—
972#3204—731no—
973#3201—731no—
974#3201—731no—
975#3105—731no—
976#3101—731no—
977#3012—731no—
978#3012—731no—
979#3009—731no—
980#3009D7311yescharacteristic, complemented
981#2979—731no—
982C73#6165811yescharacteristic, complemented, Sylow
983C2×H(5,𝔽2)—731no—
984C2×H(5,𝔽2)C2×D7311yescharacteristic
985C2×#137—731no—
986C2×#137C2×D7311yescharacteristic, complemented
987C2×AGL(1,ℤ/8)—731no—
988C2×AGL(1,ℤ/8)—731no—
989C2×#135—731no—
990C2×#135—731no—
991C22×SD16—731no—
992C22×SD16C2×D7311yescharacteristic, complemented
993#562—1461no—
994#562—1461no—
995#555—731no—
996#555—1461no—
997#554—731no—
998#553—1461no—
999#552—731no—
1000#552—731no—
1001D4×Q8—731no—
1002#548—731no—
1003#548—731no—
1004#547—731no—
1005#547—731no—
1006#547—731no—
1007#547—1461no—
1008#546—731no—
1009#546—731no—
1010#546—731no—
1011#546—731no—
1012#546—1461no—
1013#546—1461no—
1014D42—731no—
1015D42—731no—
1016D42—1461no—
1017#544—1461no—
1018#542—1461no—
1019#542—1461no—
1020#540—1461no—
1021#537—731no—
1022#537—731no—
1023#537—731no—
1024#537—731no—
1025#536—731no—
1026#536C2×D7311yescharacteristic, complemented
1027#534—1461no—
1028#534—1461no—
1029#533—731no—
1030#532—731no—
1031#532—731no—
1032#529—731no—
1033C2×#121—1461no—
1034C2×#121—1461no—
1035C2×C4×D4—731no—
1036#495—731no—
1037#495—731no—
1038#494—731no—
1039#492—731no—
1040#488—731no—
1041#488—731no—
1042#487—731no—
1043#486—731no—
1044#485—731no—
1045#485—731no—
1046#484—731no—
1047#483—731no—
1048#483—731no—
1049#483—731no—
1050#483—731no—
1051#482—731no—
1052#482—731no—
1053#481—731no—
1054#481—731no—
1055#481—731no—
1056#478—731no—
1057#478—731no—
1058#476—731no—
1059#476—731no—
1060#470—731no—
1061#470—731no—
1062#470—731no—
1063#470—731no—
1064#469—731no—
1065#469—731no—
1066#468—731no—
1067#468—731no—
1068#467—731no—
1069#467—731no—
1070#465—731no—
1071#465—731no—
1072#465—731no—
1073#465—731no—
1074#465—731no—
1075#465—731no—
1076#464—731no—
1077#464—731no—
1078#464—731no—
1079#464—731no—
1080#463—731no—
1081#463—731no—
1082#462—731no—
1083#461—731no—
1084#461—731no—
1085#461—731no—
1086#460—731no—
1087#459—731no—
1088#452—731no—
1089#452—731no—
1090#452—731no—
1091#452—731no—
1092#452—731no—
1093#452—731no—
1094#452—731no—
1095#452—731no—
1096#452—731no—
1097#452—731no—
1098#452C2×D7311yescharacteristic, complemented
1099#452C2×D7311yescharacteristic, complemented
1100#452C2×D7311yescharacteristic, complemented
1101#452C2×D7311yescharacteristic, complemented
1102#451—731no—
1103#451—731no—
1104#450—731no—
1105#450—731no—
1106#450—731no—
1107#450—731no—
1108#450—731no—
1109#450C2×D7311yescharacteristic
1110#450C2×D7311yescharacteristic
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#448—731no—
1120#448—731no—
1121#447—731no—
1122#447—731no—
1123#447—731no—
1124C4×SD16—731no—
1125C4×SD16—731no—
1126C4×SD16—731no—
1127C4×SD16—731no—
1128C4×SD16—731no—
1129C4×SD16—731no—
1130C4×D8—731no—
1131C4×D8—731no—
1132#436—731no—
1133#436—731no—
1134#436—731no—
1135#436—731no—
1136C8×D4—731no—
1137C8×D4—731no—
1138C8×D4—731no—
1139C8×D4—731no—
1140#431—731no—
1141#431—731no—
1142#418—731no—
1143#418C2×D7311yescharacteristic, complemented
1144#417—731no—
1145#417—731no—
1146#416—731no—
1147#416C2×D7311yescharacteristic, complemented
1148C2×#102—731no—
1149C2×#102—731no—
1150#408—731no—
1151#408—731no—
1152#408—731no—
1153#408C2×D7311yescharacteristic, complemented
1154H(5,𝔽2)—42no—
1155H(5,𝔽2)—42no—
1156H(5,𝔽2)—2922no—
1157H(5,𝔽2)—2922no—
1158C2×#41—21no—
1159C2×#41—731no—
1160C2×#41—731no—
1161C2×#41—731no—
1162C2×#41—731no—
1163C2×#41—731no—
1164C2×#41—731no—
1165C2×#41—1461no—
1166C2×#41C22×D7311yescharacteristic
1167C2×#41C22×D7311yescharacteristic
1168C2×#41C22×D7311yescharacteristic
1169C2×#41C22×D7311yescharacteristic
1170C22×Q8—731no—
1171C22×Q8C22×D7311yescharacteristic
1172C22×D4—21no—
1173C22×D4—21no—
1174C22×D4—21no—
1175C22×D4—731no—
1176C22×D4—731no—
1177C22×D4—1461no—
1178C22×D4—1461no—
1179C22×D4—1461no—
1180C22×D4—1461no—
1181C22×D4—1461no—
1182C22×D4C22×D7311yescharacteristic
1183C22×D4C22×D7311yescharacteristic
1184C22×D4C22×D7311yescharacteristic
1185C23×C4—1461no—
1186#137—42no—
1187#137—2922no—
1188AGL(1,ℤ/8)—2922no—
1189AGL(1,ℤ/8)—2922no—
1190#135—2922no—
1191#135—2922no—
1192C2×Q16—731no—
1193C2×Q16—731no—
1194C2×Q16—731no—
1195C2×Q16—731no—
1196C2×Q16C22×D7311yescharacteristic
1197C2×Q16C22×D7311yescharacteristic
1198C2×SD16—42no—
1199C2×SD16—2922no—
1200C2×SD16—731no—
1201C2×SD16—731no—
1202C2×SD16—731no—
1203C2×SD16—731no—
1204C2×SD16—731no—
1205C2×SD16—731no—
1206C2×SD16—731no—
1207C2×SD16—731no—
1208C2×SD16C22×D7311yescharacteristic
1209C2×SD16C22×D7311yescharacteristic
1210C2×SD16C22×D7311yescharacteristic
1211C2×SD16C22×D7311yescharacteristic
1212C2×SD16C22×D7311yescharacteristic
1213C2×SD16C22×D7311yescharacteristic
1214C2×D8—731no—
1215C2×D8—731no—
1216C2×D8—731no—
1217C2×D8—731no—
1218C2×M16—731no—
1219C2×M16—731no—
1220C2×M16—731no—
1221C2×M16C22×D7311yescharacteristic
1222C22×C8—731no—
1223C22×C8—731no—
1224C22×C8—731no—
1225C22×C8C22×D7311yescharacteristic
1226C4⋊Q8—21no—
1227C4⋊Q8—731no—
1228C4⋊Q8—731no—
1229C4⋊Q8—731no—
1230C4⋊Q8—731no—
1231C4⋊Q8—1461no—
1232C4⋊Q8—1461no—
1233#127—731no—
1234#127—731no—
1235#126—1461no—
1236#126—1461no—
1237#126—1461no—
1238#125—731no—
1239#125—1461no—
1240#125—1461no—
1241#125—1461no—
1242#125—1461no—
1243#124—21no—
1244#124—731no—
1245#124—731no—
1246#124—731no—
1247#124—731no—
1248#124—731no—
1249#124—1461no—
1250#124—1461no—
1251#124—1461no—
1252#124—1461no—
1253#124—1461no—
1254#123—21no—
1255#123—21no—
1256#123—1461no—
1257#123—1461no—
1258#123—1461no—
1259#123—1461no—
1260#123—1461no—
1261#123—1461no—
1262#123—1461no—
1263#123—1461no—
1264#123—1461no—
1265#123—1461no—
1266#123—1461no—
1267#123—1461no—
1268#123—1461no—
1269#123—1461no—
1270#123—1461no—
1271C22⋊Q8—731no—
1272C22⋊Q8—731no—
1273C22⋊Q8—731no—
1274C22⋊Q8—731no—
1275C22⋊Q8—731no—
1276C22⋊Q8—731no—
1277C22⋊Q8—731no—
1278C22⋊Q8—731no—
1279C22⋊Q8—731no—
1280C22⋊Q8—1461no—
1281C22⋊Q8—1461no—
1282C22⋊Q8—1461no—
1283C22⋊Q8—1461no—
1284C22⋊Q8—1461no—
1285C22⋊Q8—1461no—
1286C22⋊Q8—1461no—
1287C22⋊Q8—1461no—
1288C22⋊Q8—1461no—
1289C22⋊Q8—1461no—
1290C22⋊Q8—1461no—
1291C22⋊Q8C22×D7311yescharacteristic
1292C22⋊Q8C22×D7311yescharacteristic
1293C22⋊Q8C22×D7311yescharacteristic
1294C22⋊Q8C22×D7311yescharacteristic
1295#121—731no—
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—1461no—
1307#121—1461no—
1308#121—1461no—
1309#121—1461no—
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#120—1461no—
1333#120—1461no—
1334#120—1461no—
1335#120—1461no—
1336#120—1461no—
1337#120—1461no—
1338#120—1461no—
1339#120—1461no—
1340C4×Q8—731no—
1341C4×Q8—731no—
1342C4×Q8—731no—
1343C4×Q8—1461no—
1344C4×D4—731no—
1345C4×D4—731no—
1346C4×D4—731no—
1347C4×D4—731no—
1348C4×D4—731no—
1349C4×D4—731no—
1350C4×D4—731no—
1351C4×D4—731no—
1352C4×D4—731no—
1353C4×D4—1461no—
1354C4×D4—1461no—
1355C4×D4—1461no—
1356C4×D4—1461no—
1357C4×D4—1461no—
1358C4×D4—1461no—
1359C4×D4—1461no—
1360C4×D4—1461no—
1361C4×D4—1461no—
1362#117—731no—
1363#117—1461no—
1364#117—1461no—
1365#117—1461no—
1366#117—1461no—
1367#117—1461no—
1368#117C22×D7311yescharacteristic
1369C2×C4⋊C4—731no—
1370C2×C4⋊C4—731no—
1371C2×C4⋊C4—731no—
1372C2×C4⋊C4—1461no—
1373C2×C4⋊C4—1461no—
1374C2×C4⋊C4—1461no—
1375C2×C22⋊C4—1461no—
1376C2×C22⋊C4—1461no—
1377C2×C22⋊C4—1461no—
1378C2×C22⋊C4—1461no—
1379C2×C22⋊C4—1461no—
1380C2×C42—731no—
1381#107—731no—
1382#107—731no—
1383#106—731no—
1384#106—731no—
1385#106—731no—
1386#106—731no—
1387#106—731no—
1388#106—731no—
1389C4⋊C8—731no—
1390C4⋊C8—731no—
1391C4⋊C8—731no—
1392C4⋊C8—731no—
1393#103—731no—
1394#103—731no—
1395#103—731no—
1396#103—731no—
1397#103—731no—
1398#103—731no—
1399#103—731no—
1400#103—731no—
1401#103—731no—
1402#103—731no—
1403#103—731no—
1404#103—731no—
1405#103C22×D7311yescharacteristic
1406#103C22×D7311yescharacteristic
1407#102—731no—
1408#102—731no—
1409#102—731no—
1410#102—731no—
1411#102—731no—
1412#102—731no—
1413#102—731no—
1414#102—731no—
1415#102—731no—
1416#102—731no—
1417#102—731no—
1418#102—731no—
1419#102C22×D7311yescharacteristic
1420#102C22×D7311yescharacteristic
1421#102C22×D7311yescharacteristic
1422#102C22×D7311yescharacteristic
1423#102C22×D7311yescharacteristic
1424#102C22×D7311yescharacteristic
1425C22⋊C8—731no—
1426C22⋊C8—731no—
1427C22⋊C8—731no—
1428C22⋊C8—731no—
1429C22⋊C8—731no—
1430C22⋊C8—731no—
1431C22⋊C8—731no—
1432C22⋊C8—731no—
1433C22⋊C8C22×D7311yescharacteristic
1434C22⋊C8C22×D7311yescharacteristic
1435C22⋊C8C22×D7311yescharacteristic
1436C22⋊C8C22×D7311yescharacteristic
1437C4×C8—731no—
1438C4×C8—731no—
1439C4×C8—731no—
1440C4×C8—731no—
1441C24—21no—
1442C24—21no—
1443C24—21no—
1444C24—1461no—
1445C24—1461no—
1446#41—22no—
1447#41—22no—
1448#41—41no—
1449#41—41no—
1450#41—41no—
1451#41—41no—
1452#41—41no—
1453#41—41no—
1454#41—44no—
1455#41—2921no—
1456#41—2921no—
1457#41—2921no—
1458#41—2921no—
1459#41—2921no—
1460#41—2921no—
1461#41—2924no—
1462#41—2921no—
1463#41—2921no—
1464#41—2921no—
1465#41—2921no—
1466#41—1462no—
1467#41—1462no—
1468C2×Q8—21no—
1469C2×Q8—41no—
1470C2×Q8—41no—
1471C2×Q8—2921no—
1472C2×Q8—2921no—
1473C2×Q8—731no—
1474C2×Q8—731no—
1475C2×Q8—731no—
1476C2×Q8—1461no—
1477C2×Q8—1461no—
1478C2×Q8D4×D7311yescharacteristic
1479C2×Q8C23×D7311yescharacteristic
1480C2×Q8C23×D7311yescharacteristic
1481C2×Q8C23×D7311yescharacteristic
1482C2×D4—22no—
1483C2×D4—22no—
1484C2×D4—22no—
1485C2×D4—22no—
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—21no—
1489C2×D4—21no—
1490C2×D4—21no—
1491C2×D4—21no—
1492C2×D4—41no—
1493C2×D4—41no—
1494C2×D4—44no—
1495C2×D4—44no—
1496C2×D4—44no—
1497C2×D4—2924no—
1498C2×D4—2924no—
1499C2×D4—2924no—
1500C2×D4—2921no—
1501C2×D4—2921no—
1502C2×D4—5842no—
1503C2×D4—5842no—
1504C2×D4—731no—
1505C2×D4—731no—
1506C2×D4—731no—
1507C2×D4—731no—
1508C2×D4—731no—
1509C2×D4—731no—
1510C2×D4—731no—
1511C2×D4—731no—
1512C2×D4—731no—
1513C2×D4—1461no—
1514C2×D4—1461no—
1515C2×D4—1461no—
1516C2×D4—1461no—
1517C2×D4—1461no—
1518C2×D4—1461no—
1519C2×D4—1461no—
1520C2×D4—1461no—
1521C2×D4—1461no—
1522C2×D4—1462no—
1523C2×D4—1462no—
1524C2×D4—1461no—
1525C2×D4—1461no—
1526C2×D4—1461no—
1527C2×D4—1461no—
1528C2×D4—1461no—
1529C2×D4—1461no—
1530C2×D4—1461no—
1531C2×D4D4×D7311yescharacteristic
1532C2×D4D4×D7311yescharacteristic
1533C2×D4D4×D7311yescharacteristic
1534C2×D4C23×D7311yescharacteristic
1535C2×D4C23×D7311yescharacteristic
1536C2×D4C23×D7311yescharacteristic
1537C22×C4—21no—
1538C22×C4—21no—
1539C22×C4—21no—
1540C22×C4—21no—
1541C22×C4—5842no—
1542C22×C4—731no—
1543C22×C4—731no—
1544C22×C4—731no—
1545C22×C4—731no—
1546C22×C4—1461no—
1547C22×C4—1461no—
1548C22×C4—1461no—
1549C22×C4—1461no—
1550C22×C4—1461no—
1551C22×C4—1461no—
1552C22×C4—1461no—
1553C22×C4—1461no—
1554C22×C4—1461no—
1555C22×C4—1461no—
1556C22×C4—1461no—
1557C22×C4—1461no—
1558C22×C4—1461no—
1559C22×C4—1461no—
1560C22×C4C23×D7311yescharacteristic
1561C22×C4C23×D7311yescharacteristic
1562C22×C4C23×D7311yescharacteristic
1563Q16—41no—
1564Q16—41no—
1565Q16—2921no—
1566Q16—2921no—
1567Q16—2921no—
1568Q16—2921no—
1569SD16—22no—
1570SD16—22no—
1571SD16—22no—
1572SD16—22no—
1573SD16—41no—
1574SD16—41no—
1575SD16—2921no—
1576SD16—2921no—
1577SD16—2921no—
1578SD16—2921no—
1579SD16—2921no—
1580SD16—2921no—
1581SD16—1462no—
1582SD16—1462no—
1583D8—2921no—
1584D8—2921no—
1585D8—1462no—
1586D8—1462no—
1587M16—41no—
1588M16—2921no—
1589M16—2921no—
1590M16—2921no—
1591C2×C8—41no—
1592C2×C8—2921no—
1593C2×C8—2921no—
1594C2×C8—2921no—
1595C2×C8—731no—
1596C2×C8—731no—
1597C2×C8—731no—
1598C2×C8—731no—
1599C2×C8C23×D7311yescharacteristic
1600C2×C8C23×D7311yescharacteristic
1601C2×C8C23×D7311yescharacteristic
1602C2×C8C23×D7311yescharacteristic
1603C4⋊C4—21no—
1604C4⋊C4—21no—
1605C4⋊C4—21no—
1606C4⋊C4—21no—
1607C4⋊C4—731no—
1608C4⋊C4—731no—
1609C4⋊C4—731no—
1610C4⋊C4—731no—
1611C4⋊C4—731no—
1612C4⋊C4—731no—
1613C4⋊C4—731no—
1614C4⋊C4—731no—
1615C4⋊C4—1461no—
1616C4⋊C4—1461no—
1617C4⋊C4—1461no—
1618C4⋊C4—1461no—
1619C4⋊C4—1461no—
1620C4⋊C4—1461no—
1621C4⋊C4—1461no—
1622C4⋊C4—1461no—
1623C4⋊C4—1461no—
1624C4⋊C4—1461no—
1625C4⋊C4—1461no—
1626C4⋊C4—1461no—
1627C4⋊C4—1461no—
1628C4⋊C4—1461no—
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⋊C4C23×D7311yescharacteristic
1638C4⋊C4C23×D7311yescharacteristic
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—21no—
1644C22⋊C4—731no—
1645C22⋊C4—731no—
1646C22⋊C4—731no—
1647C22⋊C4—731no—
1648C22⋊C4—731no—
1649C22⋊C4—731no—
1650C22⋊C4—731no—
1651C22⋊C4—731no—
1652C22⋊C4—1461no—
1653C22⋊C4—1461no—
1654C22⋊C4—1461no—
1655C22⋊C4—1461no—
1656C22⋊C4—1461no—
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—
1680C42—21no—
1681C42—731no—
1682C42—731no—
1683C42—731no—
1684C42—731no—
1685C42—1461no—
1686C42—1461no—
1687C42—1461no—
1688C42—1461no—
1689C23—24no—
1690C23—21no—
1691C23—21no—
1692C23—21no—
1693C23—42no—
1694C23—42no—
1695C23—81no—
1696C23—81no—
1697C23—81no—
1698C23—81no—
1699C23—81no—
1700C23—81no—
1701C23—2922no—
1702C23—2922no—
1703C23—5841no—
1704C23—5841no—
1705C23—5841no—
1706C23—5841no—
1707C23—731no—
1708C23—731no—
1709C23—1461no—
1710C23—1461no—
1711C23C2×D4×D7311yescharacteristic
1712C23C2×D4×D7311yescharacteristic
1713C23C2×D4×D7311yescharacteristic
1714Q8—21no—
1715Q8—21no—
1716Q8—21no—
1717Q8—21no—
1718Q8—21no—
1719Q8—21no—
1720Q8—41no—
1721Q8—81no—
1722Q8—2921no—
1723Q8—5841no—
1724Q8—5841no—
1725Q8—1461no—
1726Q8—1461no—
1727Q8—1461no—
1728Q8—1461no—
1729D4—24no—
1730D4—21no—
1731D4—21no—
1732D4—21no—
1733D4—21no—
1734D4—41no—
1735D4—41no—
1736D4—41no—
1737D4—42no—
1738D4—42no—
1739D4—42no—
1740D4—42no—
1741D4—42no—
1742D4—2921no—
1743D4—2922no—
1744D4—2922no—
1745D4—2922no—
1746D4—2922no—
1747D4—2922no—
1748D4—2922no—
1749D4—2921no—
1750D4—2921no—
1751D4—2921no—
1752D4—2921no—
1753D4—5841no—
1754D4—5841no—
1755D4—5841no—
1756D4—5841no—
1757D4—5841no—
1758D4—5841no—
1759D4—5841no—
1760D4—5841no—
1761D4—5841no—
1762D4—5841no—
1763D4—1462no—
1764D4—1462no—
1765D4—1461no—
1766D4—1461no—
1767D4—1461no—
1768D4—1461no—
1769D4#1455663612yes—
1770D4#1455663612yes—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—21no—
1782C2×C4—42no—
1783C2×C4—42no—
1784C2×C4—42no—
1785C2×C4—81no—
1786C2×C4—2922no—
1787C2×C4—2922no—
1788C2×C4—2922no—
1789C2×C4—2922no—
1790C2×C4—2922no—
1791C2×C4—2922no—
1792C2×C4—2921no—
1793C2×C4—5841no—
1794C2×C4—5841no—
1795C2×C4—5841no—
1796C2×C4—5841no—
1797C2×C4—5841no—
1798C2×C4—5841no—
1799C2×C4—5841no—
1800C2×C4—5841no—
1801C2×C4—731no—
1802C2×C4—731no—
1803C2×C4—731no—
1804C2×C4—731no—
1805C2×C4—731no—
1806C2×C4—731no—
1807C2×C4—1461no—
1808C2×C4—1461no—
1809C2×C4—1461no—
1810C2×C4—1461no—
1811C2×C4—1461no—
1812C2×C4—1461no—
1813C2×C4—1462no—
1814C2×C4—1461no—
1815C2×C4—1461no—
1816C2×C4—1461no—
1817C2×C4—1461no—
1818C2×C4C2×D4×D7311yescharacteristic
1819C2×C4C2×D4×D7311yescharacteristic
1820C2×C4C2×D4×D7311yescharacteristic
1821C2×C4C24×D7311yescharacteristic
1822C8—21no—
1823C8—21no—
1824C8—21no—
1825C8—21no—
1826C8—1461no—
1827C8—1461no—
1828C8—1461no—
1829C8—1461no—
1830C22—21no—
1831C22—21no—
1832C22—21no—
1833C22—22no—
1834C22—22no—
1835C22—21no—
1836C22—21no—
1837C22—21no—
1838C22—21no—
1839C22—21no—
1840C22—21no—
1841C22—41no—
1842C22—41no—
1843C22—41no—
1844C22—41no—
1845C22—41no—
1846C22—41no—
1847C22—41no—
1848C22—84no—
1849C22—162no—
1850C22—162no—
1851C22—2921no—
1852C22—2921no—
1853C22—2921no—
1854C22—2921no—
1855C22—2921no—
1856C22—2921no—
1857C22—11682no—
1858C22—11682no—
1859C22—1461no—
1860C22—1461no—
1861C22—1461no—
1862C22—1461no—
1863C22—1461no—
1864C22—1461no—
1865C22C22×D4×D7311yescharacteristic
1866C4—21no—
1867C4—21no—
1868C4—21no—
1869C4—41no—
1870C4—41no—
1871C4—41no—
1872C4—41no—
1873C4—41no—
1874C4—2921no—
1875C4—2921no—
1876C4—2921no—
1877C4—2921no—
1878C4—2921no—
1879C4—2921no—
1880C4—732no—
1881C4—1461no—
1882C4—1461no—
1883C4—1461no—
1884C4—1461no—
1885C4—1461no—
1886C4C2×#1455663611yescharacteristic
1887C4C2×#1455663611yescharacteristic
1888C2—41no—
1889C2—41no—
1890C2—41no—
1891C2—42no—
1892C2—42no—
1893C2—81no—
1894C2—2921no—
1895C2—2921no—
1896C2—5841no—
1897C2—5841no—
1898C2#2262356011yescharacteristic
1899C2#577×D7311yescharacteristic
1900C2#2262470311yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3009C2
socleC22×C73C23×D4
hypercenter#3009D73
hypocenterC73#61658
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. #22624318C2semidirect
2. #22623690C2semidirect
3. #22622240C2semidirect
4. #22622169C2semidirect
5. #22622143C2semidirect
6. #22622140C2semidirect
7. #22621855C2semidirect
8. #22621770C2semidirect
9. #22621767C2semidirect
10. #22621748C2semidirect
11. #22621646C2semidirect
12. #22621638C2semidirect
13. #22621636C2semidirect
14. SD16×C22⋊D73C2semidirect
15. #22621571C2semidirect
16. #22621566C2semidirect
17. #22621556C2semidirect
18. #22621529C2semidirect
19. #22620910C2semidirect
20. #22620885C2semidirect
21. #22620843C2semidirect
22. #22620839C2semidirect
23. #22620813C2semidirect
24. #22620810C2semidirect
25. #22619979C2semidirect
26. #22619934C2semidirect
27. #22619236C2semidirect
28. #22619235C2semidirect
29. #22619203C2semidirect
30. #22618995C2semidirect
31. C73×#3009C2semidirect
33. C2×#14556620C22semidirect
34. C2×#14556618C22semidirect
35. C2×#14556617C22semidirect
36. C2×#14556612C22semidirect
37. C2×#14556611C22semidirect
38. C2×SD16×D73C22semidirect
41. #17989300C22semidirect
43. #17989295C22semidirect
45. #17989279C22semidirect
46. #17989276C22semidirect
47. Q8×C22⋊D73C22semidirect
48. #17989248C22semidirect
49. #17989247C22semidirect
50. #17989239C22semidirect
67. #17989167C22semidirect
70. #17989165C22semidirect
71. #17989160C22semidirect
74. #17989139C22semidirect
77. #17989123C22semidirect
81. #17988972C22semidirect
82. #17988968C22semidirect
83. #17988965C22semidirect
84. #17988958C22semidirect
85. #17988943C22semidirect
86. #17988940C22semidirect
87. #17988936C22semidirect
88. #17988932C22semidirect
89. #17988928C22semidirect
90. #17988926C22semidirect
91. #17988920C22semidirect
92. #17988918C22semidirect
93. #17988918C22semidirect
94. #17988916C22semidirect
95. #17988915C22semidirect
96. #17988911C22semidirect
97. #17988910C22semidirect
98. #17988906C22semidirect
99. #17988906C22semidirect
100. #17988904C22semidirect
101. #17988889C22semidirect
102. #17988889C22semidirect
103. #17988875C22semidirect
104. #17988875C22semidirect
105. #17988845C22semidirect
106. #17988843C22semidirect
107. #17988842C22semidirect
108. #17988842C22semidirect
109. #17988840C22semidirect
110. #17988839C22semidirect
111. #17988835C22semidirect
112. #17988832C22semidirect
113. #17988827C22semidirect
114. #17988826C22semidirect
115. #17988819C22semidirect
116. #17988818C22semidirect
117. #17988816C22semidirect
118. #17988816C22semidirect
119. #17988813C22semidirect
120. #17988813C22semidirect
121. #17988812C22semidirect
122. #17988811C22semidirect
123. #17988808C22semidirect
124. #17988807C22semidirect
125. #17988804C22semidirect
126. #17988804C22semidirect
127. #17988795C22semidirect
128. #17988791C22semidirect
129. #17988790C22semidirect
130. #17988790C22semidirect
131. #17988785C22semidirect
132. #17988781C22semidirect
133. #17988751C22semidirect
134. #17988751C22semidirect
135. #17988750C22semidirect
136. #17988749C22semidirect
137. #17988749C22semidirect
138. #17988748C22semidirect
139. #17988747C22semidirect
140. #17988747C22semidirect
141. #17988746C22semidirect
142. #17988746C22semidirect
143. #17988743C22semidirect
144. #17988741C22semidirect
145. #17988739C22semidirect
147. #17988738C22semidirect
148. #17988736C22semidirect
149. #17988736C22semidirect
150. #17988734C22semidirect
151. #17988734C22semidirect
152. #17988733C22semidirect
153. #17988732C22semidirect
154. #17988732C22semidirect
155. #17988731C22semidirect
156. #17988726C22semidirect
157. #17988724C22semidirect
158. #17988722C22semidirect
160. #17988721C22semidirect
161. #17988678C22semidirect
162. #17988678C22semidirect
163. SD16×Dic73C22semidirect
164. SD16×Dic73C22semidirect
165. SD16×Dic73C22semidirect
166. SD16×Dic73C22semidirect
167. #17988667C22semidirect
168. #17988667C22semidirect
169. #17988663C22semidirect
170. #17988663C22semidirect
171. #17988662C22semidirect
172. #17988662C22semidirect
173. C8×C22⋊D73C22semidirect
174. C8×C22⋊D73C22semidirect
175. #17988650C22semidirect
176. #17988650C22semidirect
177. #17988637C22semidirect
178. #17988637C22semidirect
179. #17988590C22semidirect
180. #17988588C22semidirect
181. #17988585C22semidirect
182. #17988580C22semidirect
183. C2×#14556512C22semidirect
184. #102×D73C22semidirect
185. #17988554C22semidirect
186. #17988552C22semidirect
187. #17988552C22semidirect
189. C2×#137×C73C22semidirect
190. C22×SD16×C73C22semidirect
191. #536×C73C22semidirect
192. #452×C73C22semidirect
193. #452×C73C22semidirect
194. #452×C73C22semidirect
195. #452×C73C22semidirect
198. #450×C73C22semidirect
199. #450×C73C22semidirect
200. #418×C73C22semidirect
201. #416×C73C22semidirect
202. #408×C73C22semidirect
980. #3009D73semidirect
982. C73#61658semidirect
986. C2×#137C2×D73semidirect
992. C22×SD16C2×D73semidirect
1026. #536C2×D73semidirect
1098. #452C2×D73semidirect
1099. #452C2×D73semidirect
1100. #452C2×D73semidirect
1101. #452C2×D73semidirect
1111. #450C2×D73semidirect
1112. #450C2×D73semidirect
1143. #418C2×D73semidirect
1147. #416C2×D73semidirect
1153. #408C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226243182
#226236902
#226222402
#226221692
#226221432
#226221402
#226218552
#226217702
#226217672
#226217482
#226216462
#226216382
#226216362
SD16×C22⋊D732
#226215712
#226215662
#226215562
#226215292
#226209102
#226208852
#226208432
#226208392
#226208132
#226208102
#226199792
#226199342
#226192362
#226192352
#226192032
#226189952
C73×#30092
#6165873